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08 -- Energy -- Sweet Conceptual Physics By Paul Hewitt — Transcript

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  1. 0:00e
  2. 0:04[Music]
  3. 0:05[Applause]
  4. 0:09[Music]
  5. 0:12[Applause]
  6. 0:20[Music]
  7. 0:22[Applause]
  8. 0:22[Music]
  9. 0:28[Applause]
  10. 0:29[Music]
  11. 0:32[Applause]
  12. 0:37[Music]
  13. 0:50what chapter are we going to talk about
  14. 0:51today
  15. 0:53gang what's it what is it begins with e
  16. 0:56energy how many people feel energy how
  17. 0:59many people wish they
  18. 1:00more we'll be talking about such thing
  19. 1:02now but before we talk about energy I
  20. 1:04want to talk about something that was
  21. 1:05somewhat related uh we talked before
  22. 1:08about the idea of momentum remember
  23. 1:11momentum momentum is inertia and motion
  24. 1:14and how do you get something moving if
  25. 1:17it's not moving how do you change the
  26. 1:19momentum of something you push on it and
  27. 1:22you provide what's called an Impulse
  28. 1:24impulse right impulse is not only
  29. 1:27Force it's not how hard you push only
  30. 1:30that will tell you how much momentum
  31. 1:31change you'll get it's how long you push
  32. 1:34and we talked about how long in terms of
  33. 1:36time didn't we we said Force multiplied
  34. 1:39by time would be numerically equal to
  35. 1:42you multiply the force that you exert on
  36. 1:44something huh multiply by the time that
  37. 1:47you exert on something you'll get a
  38. 1:48numerical quantity and that quantity is
  39. 1:50exactly equal to not the momentum but
  40. 1:53the change in momentum that you you
  41. 1:56produce by pushing
  42. 1:58huh and so we talked about this you know
  43. 2:01and we called this idea here how hard
  44. 2:03you push multiply by the duration in
  45. 2:05which pushing takes place we had a name
  46. 2:07for that see if your neighbor remembers
  47. 2:11the
  48. 2:14name don't be an imp now come on come
  49. 2:17on what is it gang impulse yeah don't be
  50. 2:21afraid to be a little verbal all
  51. 2:25right and so we said impulse is a change
  52. 2:28in the quantity and inertia and motion
  53. 2:31moving inertia we call that what that
  54. 2:33what do we call it begin with an M
  55. 2:37momentum okay don't be
  56. 2:42shy and that's what we talked about
  57. 2:44right and we said for big changes in
  58. 2:47momentum you'll have what kind of
  59. 2:49impulses begin with B big for small
  60. 2:52changes in momentum you'll have what
  61. 2:54kind of impulse begin with S small all
  62. 2:57right now what happens when what happens
  63. 2:59to the change in momentum when bouncing
  64. 3:02occurs larger or the same as if bouncing
  65. 3:05does not occur begin with a l larger and
  66. 3:09we can show that with this device here
  67. 3:11here's a
  68. 3:12dart it's like a dart and I have a sharp
  69. 3:15nail in there and what I'm going to do
  70. 3:17is I'm going to lift the dart up and I'm
  71. 3:19going to allow it to swing against that
  72. 3:21block it's going to make a collision
  73. 3:22watch
  74. 3:24this the block did not tip I'll try it
  75. 3:28again
  76. 3:32the block did not tip this time I'm
  77. 3:35going to remove the point and now I have
  78. 3:39just rubber here this time when I swing
  79. 3:42it it's going to bounce and when it
  80. 3:45bounces more impact or less
  81. 3:49more wow hands down no no contest I
  82. 3:53don't even have to lift it even as high
  83. 3:55I can even lift it this High
  84. 3:56watch hey so bouncing
  85. 4:00more change in momentum when it bounces
  86. 4:02when this come down and stop boom
  87. 4:04there's a certain change but when it
  88. 4:06hits stops and then it comes back out
  89. 4:08again then what more change or less more
  90. 4:12more change more change in momentum
  91. 4:14means what kind of impulse greater
  92. 4:16impulse and you saw that and it's the
  93. 4:18impulse that knocked the block over hey
  94. 4:20huh huh
  95. 4:23physics we're not going to talk about
  96. 4:25impulse and momentum today we're going
  97. 4:27to talk about a related idea how hard
  98. 4:30you push to get something going is one
  99. 4:32thing but how long you push is also
  100. 4:34important so far we talked about how
  101. 4:37long in terms of time how long in terms
  102. 4:41of what your watch reads we can talk
  103. 4:43about how long in terms
  104. 4:46of distance that's right and when we do
  105. 4:49that force times distance it turns out
  106. 4:53we'll get a change in some other
  107. 4:54quantity and that other quantity is not
  108. 4:56momentum it is begins with the e
  109. 5:00okay and this is what we're going to
  110. 5:02talk about
  111. 5:05today force times distance will produce
  112. 5:08a change in
  113. 5:10energy what is
  114. 5:12energy energy is that numerical quantity
  115. 5:16which appears in many many forms like
  116. 5:19mechanical energy we'll talk about
  117. 5:21mechanical energy today really energy of
  118. 5:23position potential energy energy of
  119. 5:25motion motion energy we don't say motion
  120. 5:28energy we use Greek word for motion
  121. 5:30begins with a K check your neighbor see
  122. 5:32if your neighbors on what kind of what's
  123. 5:35what what's motion energy with K kinetic
  124. 5:37yeah kinetic energy okay and then we
  125. 5:40could talk about later on we can talk
  126. 5:41about heat
  127. 5:43energy sound energy can anyone think of
  128. 5:47any other kinds of energy how many say
  129. 5:49no that's probably it there's probably
  130. 5:50no more come on gang some more light
  131. 5:58energy good radiant energy radium from
  132. 6:00radium things like that huh theral good
  133. 6:03thermal
  134. 6:04energy good nuclear energy and turns out
  135. 6:07energy of being it turns out everything
  136. 6:11has this quantity called Energy and
  137. 6:13that's given by Einstein celebrated
  138. 6:20equation later in the course we'll talk
  139. 6:22more about this the idea that energy and
  140. 6:24mass are two sides gang of the same coin
  141. 6:28you guys get Mass right you know what
  142. 6:30your mass is squashed up energy you are
  143. 6:33all bits of energy all squashed up and
  144. 6:36the more massive you are the more energy
  145. 6:38you have and sometimes you can convert
  146. 6:40from the inertia kind to the radiant
  147. 6:42kind and that's what happens in the sun
  148. 6:43and the stars and that's the energy of
  149. 6:45fusion and we'll talk about that too but
  150. 6:48today we're only going to talk about the
  151. 6:50simplest kind of energy mechanical
  152. 6:52energy and it's related idea work
  153. 6:56because this force times distance we
  154. 6:57don't call that impulse gang no Force
  155. 7:00time time is impulse we call Force time
  156. 7:03distance another word see if your
  157. 7:05neighbor doesn't know what it
  158. 7:09is who came
  159. 7:12unprepared doesn't
  160. 7:16know what is it gang all together work
  161. 7:19all right work we call that
  162. 7:22work okay work equals a change in and
  163. 7:26I'll just put e for energy all right
  164. 7:29if I'm lifting something up if I lift
  165. 7:33this block up I do work on the Block
  166. 7:34when I lift it because I'm exerting a
  167. 7:37force through some distance okay and the
  168. 7:40higher I lift it the more work I do the
  169. 7:44more work I do the more what it has
  170. 7:46begins with the E energy okay if I
  171. 7:49Elevate way way way up it's got a lot of
  172. 7:52energy and we call that energy energy of
  173. 7:55position and that energy of position you
  174. 7:57could you could put the work in today
  175. 7:58and you could use it tomorrow so you can
  176. 8:01store it it can be there for your
  177. 8:03potential use so that being the case
  178. 8:06gang we got a name for energy of
  179. 8:08position begin with PE what is it
  180. 8:12potential energy potential energy is
  181. 8:14energy of position we talked before
  182. 8:16about a slingshot when you pull a
  183. 8:18slingshot back further okay Boom the
  184. 8:20projectile is going to go faster and we
  185. 8:22said it going to go faster get more
  186. 8:24momentum today we're going to say yeah
  187. 8:26let's get more momentum but if it has
  188. 8:28momentum it also has something else
  189. 8:30begins with a e try it all right ends
  190. 8:34with J ends with
  191. 8:37Y energy okay but now it's energy of
  192. 8:41motion and we call Kinetic we
  193. 8:44call energy of motion what gang yeah so
  194. 8:48I can go like this and pull it with
  195. 8:49position more position more position
  196. 8:52more energy more energy whip boom more
  197. 8:55what more kinetic energy that's right
  198. 8:58how about cannons how about you get a
  199. 9:00cannon like
  200. 9:01this it's that long okay and you fire a
  201. 9:05cannonball out come the cannon ball huh
  202. 9:07let's suppose you have another Cannon
  203. 9:09same kind of Cannon only
  204. 9:12larger now you fire the same kind of
  205. 9:14cannon ball the same amount of powder
  206. 9:17out it goes in which case will the
  207. 9:19canonball go
  208. 9:21further how many say the longer one show
  209. 9:23a hands e how many say the longer one
  210. 9:26because there's more impulse on it
  211. 9:30show her
  212. 9:31hands how many say wait a minute impul
  213. 9:34impulse was the other day I don't know
  214. 9:36about
  215. 9:37today come on how impulse what is
  216. 9:39impulse gang it's a force than the time
  217. 9:42during which it acts but couldn't we
  218. 9:45also say hey it's going to go further
  219. 9:47because there's more energy given to it
  220. 9:50how many see
  221. 9:51that even if the force is the same cuz
  222. 9:55over here I hit with a certain Force
  223. 9:57here a certain Force but here the Force
  224. 9:59acts over this
  225. 10:01distance here the force acts over this
  226. 10:03distance which is bigger this quantity
  227. 10:06or this quantity this quantity so you're
  228. 10:09get you're doing more work on the
  229. 10:10Cannonball so it's going to leave with
  230. 10:12more kinetic energy and we can kind of
  231. 10:14see if something got a lot of kinetic
  232. 10:15energy I got a lot of momentum if I got
  233. 10:17a little kinetic energy I got a little
  234. 10:18momentum they're
  235. 10:20related they're related that means it
  236. 10:22can be confusing sometimes we're not
  237. 10:24going to push that to death though just
  238. 10:26want you to know that when you do work
  239. 10:27on something you can can change the
  240. 10:30energy that it
  241. 10:34has I can kind of show you that with
  242. 10:36this bowling ball over
  243. 10:39here here's a bowling ball suspender
  244. 10:42from the ceiling and what I'm going to
  245. 10:44do is I'm going to do work on this
  246. 10:45bowling ball and increase its potential
  247. 10:47energy cuz what I'm going to do is I'm
  248. 10:49going to pull the bowling ball back now
  249. 10:51it's going to take a force to do that
  250. 10:53this little device here will show the
  251. 10:55force that I apply and we can look at
  252. 10:58this kind of close up and we can see
  253. 11:00that as I pull
  254. 11:01it more and more the force gets more
  255. 11:04greater greater greater notice the force
  256. 11:07is varying with the angle it gets very
  257. 11:10complicated to multiply the force times
  258. 11:13the distance because the force keeps
  259. 11:15changing with the distance so to
  260. 11:17calculate that you need a kind of
  261. 11:19mathematics that we're not into right
  262. 11:21now it's called calculus but it turns
  263. 11:23out when I do that and I pull with an
  264. 11:25increasing increasing increasing Force
  265. 11:27higher higher higher higher higher I'll
  266. 11:29get a particular number here but you
  267. 11:31know what I've raised it this high off
  268. 11:34the ground if I simply pick it up
  269. 11:37straight up it takes more Force but I
  270. 11:40lose I I I go a smaller distance and
  271. 11:43guess what that greater force times a
  272. 11:44smaller distance is compared to the
  273. 11:46variable force times a long distance
  274. 11:49take one guess what the energy is at the
  275. 11:51end both ways same take a guess begins
  276. 11:55with a SS now take a
  277. 11:57guess how many sit next to someone oh
  278. 12:00check check the neighbor check the
  279. 12:10neighbor what is it gang same same
  280. 12:13that's right that's right I'll show you
  281. 12:15another nice thing with this
  282. 12:18pendulum this pendulum illustrates one
  283. 12:21of the most important ideas in
  284. 12:22physics what I'm going to do is I'm
  285. 12:24going to hold this against my teeth and
  286. 12:26I'm going to let it go okay and you and
  287. 12:29see what
  288. 12:31happens fall short I didn't Flinch man
  289. 12:35should I do it again I'll close my
  290. 12:41eyes I I really did have my eyes closed
  291. 12:43okay you know what gang what's this
  292. 12:47illustrating how many say oh it's
  293. 12:49probably not illustrating anything it's
  294. 12:51just a bowling ball going back and come
  295. 12:53on you guys this illustrates energy
  296. 12:57conservation the idea that you don't
  297. 12:59don't create or you don't destroy energy
  298. 13:01you just slish slos it from one form to
  299. 13:04another when I lifted this up it had
  300. 13:06energy of what begin with p position
  301. 13:09right and I let it go it turns into
  302. 13:11energy of motion kinetic right and so
  303. 13:14the position motion position motion
  304. 13:16position but here's the idea when I
  305. 13:19started I did work and lifted it to a
  306. 13:21certain amount it's got a certain amount
  307. 13:22of energy call it a th units when I let
  308. 13:25it
  309. 13:26go whoops okay well I did a little work
  310. 13:29on the wall okay but the idea is it will
  311. 13:31never come up higher if it came up
  312. 13:34higher it would have more than a th000
  313. 13:36units and we have a little dictum in
  314. 13:38physics no can be or we've never seen
  315. 13:43such a thing never as anyone recorded
  316. 13:46and verified the idea that something
  317. 13:49could put out more energy than was put
  318. 13:51into
  319. 13:51it we call that idea the conservation of
  320. 13:55energy
  321. 14:03the
  322. 14:05pendulum at this level is lifted and has
  323. 14:08a certain potential energy at this point
  324. 14:11a PO potential energy with respect to
  325. 14:14say this level that's how much potential
  326. 14:16energy maybe it's a th units let's call
  327. 14:18it a
  328. 14:20th those units by the way would be
  329. 14:22called Jewels Newton meter we're not
  330. 14:25going to get too much into the into that
  331. 14:27too deeply into that but say thousand
  332. 14:29units of energy here now it goes into no
  333. 14:32more potential energy it's all what kind
  334. 14:34of energy gang
  335. 14:36kinetic some people know the value of
  336. 14:39the kinetic energy there and some people
  337. 14:41don't see if you're sitting next to
  338. 14:43someone who
  339. 14:52[Music]
  340. 14:54do how many say it's a
  341. 14:57thousand how many don't really know how
  342. 14:59I don't know I haven't paying attention
  343. 15:00man I don't know what it is show a
  344. 15:04hands it's a thousand yeah a th000
  345. 15:06jewels and when it goes to the other
  346. 15:08side what will it be a thousand or not
  347. 15:12quite it turns out not quite boom
  348. 15:16Energy's been destroyed yes or no answer
  349. 15:19begin with an
  350. 15:20N account for the energy then it turns
  351. 15:24out when you're swinging it never quite
  352. 15:26comes back to where it was you know why
  353. 15:29it's transferring the energy somewhere
  354. 15:32else guess
  355. 15:36where how's the temperature feel today
  356. 15:39gang relatively
  357. 15:43cool how many say that's strange it
  358. 15:46seems to be warming
  359. 15:48up okay A little exaggeration but it is
  360. 15:52that thing's banging into the air and
  361. 15:54when it bangs into the air boom what
  362. 15:55happened to the air molecule move a
  363. 15:56little faster and we'll learn later on
  364. 15:58that itic energy of air molecules honey
  365. 16:00we talking about
  366. 16:02temperature and so what'll happen is the
  367. 16:04energy go from that to the energy of the
  368. 16:05molecules in the room it dissipates in
  369. 16:07the form of heat see but you always have
  370. 16:11it there it always adds up and that's
  371. 16:14kind of nice all the physics experiments
  372. 16:16you do you always find out the energy
  373. 16:18score Remains the Same and sometimes
  374. 16:20when it doesn't seem to you discover
  375. 16:22things that maybe you didn't know about
  376. 16:23before it's marvelous a marvelous
  377. 16:26principle of physics conservation of
  378. 16:28energy let calculate the energy of any
  379. 16:31system maybe it's a Galaxy about to
  380. 16:32explode calculate the total energy let
  381. 16:35that Galaxy do no matter what it wants
  382. 16:37to do is spin around I don't care
  383. 16:39what some some big event then draw a
  384. 16:42dotted line around it calculate the
  385. 16:44energy in there again what do you got
  386. 16:45guess what same darn number it might be
  387. 16:48different forms now maybe more light
  388. 16:49than before but the energy just
  389. 16:51transforms from one form to another and
  390. 16:53that's kind of
  391. 16:57neat let's suppose we have the case of a
  392. 17:00person up at the top of a flag
  393. 17:04bow and they're up at the top of that
  394. 17:06flag bow and they're going to dive into
  395. 17:08a little bucket of water he used to do
  396. 17:11this in circuses okay and here's a dude
  397. 17:13up here he's going to jump and let's
  398. 17:16suppose up at the top there he has
  399. 17:1910,000 units of energy that's his
  400. 17:22potential energy isn't it he's at rest
  401. 17:25so being at rest what would his kinetic
  402. 17:27energy be zero zero
  403. 17:31would just say zero
  404. 17:35and right into the bucket when he gets
  405. 17:37down to the bottom of the bucket the
  406. 17:39potential energy is what zero zero cuz
  407. 17:42we took this with respect to the ground
  408. 17:45so down here it's got a potential energy
  409. 17:46of zero I know you're sitting next to
  410. 17:48someone knows what the kinetic energy of
  411. 17:50splat is I know you do that just just
  412. 17:53double check to be sure what's the value
  413. 17:55of the kinetic energy
  414. 17:57here how much kinetic energy 10,000 how
  415. 18:00many people don't say
  416. 18:0310,000 come on you guys there's going to
  417. 18:05be
  418. 18:0610,000 10,000 units hey when the dude
  419. 18:09gets halfway down the potential energy
  420. 18:12is only
  421. 18:14half 5,000 there are people can
  422. 18:18calculate what the kinetic energy must
  423. 18:20be see if you're sitting next to one
  424. 18:29what's it going to be
  425. 18:30g000 5,000 let's suppose when he gets
  426. 18:333/4 of the way down his potential energy
  427. 18:35over here is now only what one quarter
  428. 18:38of this one quarter of that looks like
  429. 18:422500 will the kinetic energy be more or
  430. 18:45less you know it's going to be more
  431. 18:47picking up huh and what will the kinetic
  432. 18:49energy be at the at the one quarter up
  433. 18:51Mount huh
  434. 18:5475 such that what did you know do you
  435. 18:57see the rule here here here here here
  436. 19:00here anywhere going to have the same
  437. 19:03energy and when he finally comes down
  438. 19:05here the kinetic energy goes to zero
  439. 19:06boom calculate the heat of the bucket
  440. 19:08and the heat of his remains and what do
  441. 19:10you got then you've got 10,000 units of
  442. 19:12heat energy and that dissipates
  443. 19:14dissipates dissipates but it's always
  444. 19:16there energy score stays the
  445. 19:25same show you something kind of neat
  446. 19:33here I've got
  447. 19:36a piece of metal I'm going to weigh
  448. 19:46it Hunker metal weighs a little bit more
  449. 19:48than 10 Newtons just about 10 and 1 12
  450. 19:51Newtons see that okay 10 and 1 12
  451. 19:54Newtons now what I'm going to do is I'm
  452. 19:56going to hold it with two scales
  453. 19:59and you guys tell me what's the reading
  454. 20:01going to be in each scale now this is
  455. 20:04old stuff one scale there one scale here
  456. 20:09wish I had one more
  457. 20:15hand it should be half gang is it half
  458. 20:20let me take this one
  459. 20:22off and at an angle it gets wild
  460. 20:26information overload today so we'll only
  461. 20:29talk about straight up and down
  462. 20:42okay my clutchness is showing there we
  463. 20:46go half so I can hold it up with half as
  464. 20:49much force when this supplies the other
  465. 20:53side huh is that right okay now I'm
  466. 20:56going to do work on this and lift it
  467. 20:58okay
  468. 21:01let's suppose first of all I do work and
  469. 21:03I lift it like
  470. 21:05this I want to lift it let's suppose I
  471. 21:09want to lift that up to
  472. 21:10the 20 cm Mark okay right to here okay
  473. 21:14watch
  474. 21:17this how high did I move my hand I move
  475. 21:20the bottom of this up 20
  476. 21:22cm how far did my hand move more less or
  477. 21:26the
  478. 21:27same did you see it's the
  479. 21:29same if you take that reading which is
  480. 21:32about 10 and2 and multiply it by the 20
  481. 21:35cm you'll get a number okay that's a
  482. 21:39number that's the amount of work I'm
  483. 21:41doing when I lift it up okay and it's
  484. 21:45going to take that amount of work to
  485. 21:47lift it up 20 cm let me put that on the
  486. 21:49board
  487. 21:59the work I'm going to do is force times
  488. 22:02distance is going to be it would let's
  489. 22:04round it off to 10 okay 10 Newtons and
  490. 22:08the distance I raised it where it was 20
  491. 22:10cm or 210 10 of a meter 2/10 of a meter
  492. 22:14and that's going to be equal to two
  493. 22:17Newton meter and we call that a jewel
  494. 22:20two jewels of work to lift it up 20
  495. 22:24cm I'm going to lift it up 20 cm again
  496. 22:28but I don't like having to pull so hard
  497. 22:30I don't want to pull with 10 Newtons I'm
  498. 22:32getting tired I'd like to pull with
  499. 22:34about five Newtons how could I do
  500. 22:37that I could tie this onto
  501. 22:41here we have to wonder if the Ancients
  502. 22:44who constructed the pyramids knew about
  503. 22:46so simple an idea as we're talking about
  504. 22:49today because now I can lift it as
  505. 22:52you've seen with half half the
  506. 22:55force half the force now I'm going to
  507. 22:58lift this
  508. 22:59up 20 cm and you watch how far my hand
  509. 23:03moves where's the 20 cm Mark right
  510. 23:06[Applause]
  511. 23:07here how far did my hand move more the
  512. 23:10same or less much more can you see twice
  513. 23:13as much I moved my hand through 4/10 of
  514. 23:16a meter but the force I exerted was only
  515. 23:205 Newtons but I had to exert it through
  516. 23:23through twice as much and what's the
  517. 23:25result gang two jewels
  518. 23:29this is like a
  519. 23:30machine some people think that a machine
  520. 23:33can change the amount of energy those
  521. 23:36people are wrong a machine can't put out
  522. 23:40any more energy any more work than put
  523. 23:43into it what a machine can do is change
  524. 23:47the force that's required to do that
  525. 23:51work so whether it's a pulley system or
  526. 23:54whether it's a lever the work you put in
  527. 23:57is the work you get get out and you
  528. 23:59could hold the lever at different
  529. 24:01positions and you could get different
  530. 24:03forces to do the same work but watch out
  531. 24:06gang no machine can put out more energy
  532. 24:10than has put into it okay what can it
  533. 24:14change see if your neighbor
  534. 24:22knows we can kind of see the answer to
  535. 24:24that when we look at the equation for
  536. 24:26work work is what force times distance
  537. 24:29since the work input work output is the
  538. 24:31same what you can do is you can slish
  539. 24:33slash back and forth between whether
  540. 24:35you're increasing force or increasing
  541. 24:37distance consider a huge truck with a
  542. 24:40flat tire and that truck got to be
  543. 24:43lifted so the tire can be taken off can
  544. 24:46you imagine the Ancients back when the
  545. 24:48pyramids were being built seeing a
  546. 24:50little girl using a bumper
  547. 24:52jack to lift the Mac Truck a little
  548. 24:56kid and that come that say they see the
  549. 24:59kid go they see the truck come up in the
  550. 25:01air my gosh kid how did you how did you
  551. 25:04lift that truck and she said well I had
  552. 25:07to just do some work on the Jack and the
  553. 25:09work on the jack did work in the truck
  554. 25:11and the work on the truck same as the
  555. 25:12work on the jack no big deal this is
  556. 25:1420th century stuff he says but I'm not
  557. 25:1720th century yet could you explain that
  558. 25:18to me and the little girl would say this
  559. 25:21well look at this when I push
  560. 25:23down she say I have to push only a
  561. 25:25little force compared to the force of
  562. 25:27the truck
  563. 25:29but when I push down look how far I got
  564. 25:31to
  565. 25:32go she said multiply my push times the
  566. 25:35distance I push you get a number right
  567. 25:37and all of people say yeah you got a
  568. 25:39number now multiply the force on the
  569. 25:41other side by how high it go and you get
  570. 25:44a number right and guess how big the
  571. 25:46numbers are compared to each other gang
  572. 25:48same
  573. 25:49same what if she went like this click
  574. 25:52click and the truck went click
  575. 25:55click honey that's magic that's not
  576. 25:58physic you hear me okay but isn't that
  577. 26:00neat that it always turns out to be just
  578. 26:03the force down time the distance equals
  579. 26:05a force times the distance we kind of
  580. 26:07show that like this the force she might
  581. 26:09push it be like that and the force she
  582. 26:11lifts might be like that but the
  583. 26:14distance she pushes is like that and the
  584. 26:17distance this Rises is like that and
  585. 26:20these would be the same not quite the
  586. 26:23same some of the energy goes into
  587. 26:25working and heating up the jack a little
  588. 26:26bit so this number is always a little
  589. 26:28bit smaller and how much smaller we get
  590. 26:31into the idea of efficiency won't talk
  591. 26:33about that today but with ideal
  592. 26:35efficiency this can never be bigger than
  593. 26:39this so you're walking down the street
  594. 26:41and you see some some dude pulling in a
  595. 26:43pulley system and you see him
  596. 26:45single-handedly lifting a piano and a
  597. 26:46piano is going up in the air a piano
  598. 26:48that a human being could never lift one
  599. 26:50of the grand grand piano type jobs okay
  600. 26:53and here we go ch ch ch ch ch ch and
  601. 26:55that piano's going up in the
  602. 26:57air how can be such a
  603. 27:00thing well first of all if the pulley
  604. 27:03system means that the piano is being
  605. 27:04held by 10
  606. 27:06ropes then the Rope tension will be the
  607. 27:08same in all 10 barring friction then his
  608. 27:11free end he's pulling one of those
  609. 27:13tensions the same as those so he's got
  610. 27:15one tenth the weight of the piano on
  611. 27:17every rope the one he's pulling so the
  612. 27:19piano weighs a th he pulls a tenth of a
  613. 27:21th what's that 100 if he can pull 100 up
  614. 27:24it goes but furthermore you multiply how
  615. 27:28many meters of rope go through his
  616. 27:31hands by the force he pulls you get a
  617. 27:33number yeah now multiply the weight of
  618. 27:36the piano Among Us H times the amount of
  619. 27:40meters it goes up smaller number yeah
  620. 27:42multiply those two together what's the
  621. 27:43biggest that number can
  622. 27:45be y same same a't that neat it works it
  623. 27:50works
  624. 27:57energy I remember years ago I used to
  625. 27:59hear people talk about the the so-called
  626. 28:01conspiracy of the oil
  627. 28:04companies that their uh cars automobiles
  628. 28:07with little gadgets usually involving
  629. 28:10magnets attached to the carburetors of
  630. 28:12the cars would allow cars to go
  631. 28:15fantastic distances but the oil
  632. 28:18companies have bought up the patents and
  633. 28:20they're withholding it from the public
  634. 28:21so the public will have to guzzle down
  635. 28:23more oil make more money for the
  636. 28:24companies see the idea that maybe I was
  637. 28:27told one time time for example that with
  638. 28:29these devices one could put a couple of
  639. 28:31liters of gasoline in your car and drive
  640. 28:34from Boston Massachusetts to San
  641. 28:35Francisco and a couple of laders but the
  642. 28:38oil companies won't let you do it so you
  643. 28:40have to burn a couple of barrels or
  644. 28:41something like that well how about that
  645. 28:44gang is there any is are there any rules
  646. 28:47that govern this sort of thing answer
  647. 28:49begin with a
  648. 28:51Why Try it ends with a p try it yep
  649. 28:56there is and that's the energy
  650. 28:58conservation and let's talk about that
  651. 29:00right
  652. 29:01here okay we're going to push the car
  653. 29:04across country it's going to take energy
  654. 29:07to do that it's going to take energy to
  655. 29:09do work on the car and that work is the
  656. 29:12force times the distance that we're
  657. 29:13pushing the car now what's the force
  658. 29:15that keeps a car going even in a
  659. 29:17straight road what's the car what's the
  660. 29:19force it's the force against friction
  661. 29:22and for a very streamlined car that
  662. 29:24force can be something like 1,000
  663. 29:26Newtons a th000 Newtons at highway speed
  664. 29:29so let's see what
  665. 29:31happens what's the energy over here
  666. 29:33that's the energy given to us by the
  667. 29:35gasoline and that's a certain amount it
  668. 29:38turns out gasoline has an energy content
  669. 29:41of about 40 million Jews per liter 40
  670. 29:46million now this is what the energy
  671. 29:50thing means if you have 40 million units
  672. 29:53of energy to spend
  673. 30:01that's the energy content in your
  674. 30:02gasoline what we're saying is these two
  675. 30:06numbers multiplied together can't be
  676. 30:08bigger than that cuz that's what you got
  677. 30:11to spend in your gas tank I don't care
  678. 30:12what kind of Gadget you got that's
  679. 30:16it now how you going to do it you're
  680. 30:18going to push your car through some
  681. 30:21distance let's see how far you can push
  682. 30:24it how far can you push it well if
  683. 30:26you're pushing it uphill it's going to
  684. 30:28take more Force so this will be smaller
  685. 30:30pushing a downhill maybe gravity will do
  686. 30:31it for you you don't need anything okay
  687. 30:33but along a level Road you got to push
  688. 30:34against the Air drag isn't that true the
  689. 30:36faster you go to my Air drag and let's
  690. 30:38take a an average unit of uh 1,000
  691. 30:41Newtons 1,000 Newtons for our force and
  692. 30:45now we want to calculate can we
  693. 30:46calculate gang at our seats huh pencil
  694. 30:49and paper what's the distance that the
  695. 30:51car could go with a th units units of
  696. 30:55force pushing it along how many kilm
  697. 30:58will the car go on that one liter
  698. 31:02calculate such thing
  699. 31:23now am I doing it right gang am I doing
  700. 31:26it right if this time this equals that
  701. 31:29then this equals that divided by this is
  702. 31:31that right that is that the algebra we
  703. 31:33can do that look at the zeros
  704. 31:36honey now anyone have a
  705. 31:40calculator how about without a
  706. 31:41calculator we can do huh one goes into
  707. 31:4440,000 how many times 40,000 so this car
  708. 31:47is going to go 40,000
  709. 31:49M and it turns out if we express force
  710. 31:53in Newtons distance in meters and energy
  711. 31:55in Jews the units will match so we have
  712. 31:57no verions to make so this turns out to
  713. 32:00be 40,000 M we don't say 40,000 M we say
  714. 32:0540
  715. 32:06kilomet so it turns out to be 40
  716. 32:11kilm you know what this means gang in a
  717. 32:14car that is 100% efficient you can't
  718. 32:17have that make believe you can 100%
  719. 32:21efficient that means all the energy of
  720. 32:23the gasoline goes into moving the car
  721. 32:26none goes into the heat none goes into
  722. 32:27the sound none goes into the friction
  723. 32:29huh all into the car it's the upper
  724. 32:32limit if you have to push with a th000
  725. 32:35Newtons which is reasonable then the
  726. 32:38greatest distance you can possibly get
  727. 32:40Nature's Nature's ultimate is 40 km so
  728. 32:44this car will give you 40 km per
  729. 32:47liter and there's only one way you can
  730. 32:49get more how's
  731. 32:51that what is that this is huh how can
  732. 32:54you get more distance you go outside the
  733. 32:56car and you push on it Yourself by
  734. 32:58changing the force that's right if you
  735. 33:00can decrease the force then you can
  736. 33:02increase the distance do you see that
  737. 33:04and how do we decrease the force with
  738. 33:07cars we make them streamlined so they
  739. 33:10cut through less Air drag as they move
  740. 33:12isn't that nice see and usually you're
  741. 33:15going to get about 25% efficiency which
  742. 33:18means you get 25% of this okay which
  743. 33:20means you usually get about 10 km per
  744. 33:22liter see yeah so what you're trying to
  745. 33:25do is to increase the efficiency but
  746. 33:27this is in the upper limit see now most
  747. 33:31people don't realize this people don't
  748. 33:34know there's an upper limit that
  749. 33:36Nature's limit and they think that
  750. 33:37little gadgets or something can how
  751. 33:39somehow beat this and many of the
  752. 33:42devices that are submitted to the patent
  753. 33:44office flout this all together and the
  754. 33:47first thing the patent types do with
  755. 33:49some particular machine they say wait a
  756. 33:50minute is it going to violate the
  757. 33:52conservation of energy if it does we
  758. 33:54don't want to look at it and the reason
  759. 33:56is the patent people have through
  760. 33:58thousands and thousands and thousands of
  761. 34:00schemes maybe hundreds and hundreds
  762. 34:01hundreds of schemes which all seem to
  763. 34:03give you out more energy than before and
  764. 34:05they find out where the little flaw is
  765. 34:07so at this point they just say look if
  766. 34:09it violates energy conservation come on
  767. 34:11it's another whacko wacko because
  768. 34:13nothing has so far shown that you can
  769. 34:16get more out than you put
  770. 34:19in so there are rules to the universe
  771. 34:22and that's one energy conservation you
  772. 34:25can change from one form to another but
  773. 34:27you can't get more than you started with
  774. 34:30no free lunch
  775. 34:32gang and with most machines you don't
  776. 34:35even break even because some of that
  777. 34:37energy goes into overcoming friction
  778. 34:39turns into
  779. 34:42heat so why do you eat your corn flakes
  780. 34:45in the morning
  781. 34:46gang you keep eat your corn flakes in
  782. 34:48the morning because what do you do those
  783. 34:50things are being torn apart in your
  784. 34:52stomach when it torn apart the bonds
  785. 34:53that energy becomes part of guess who
  786. 34:56and you use that to go about your day
  787. 34:58and what happens you stop eating how
  788. 35:00long can you keep running your car
  789. 35:02without putting gasoline in how long can
  790. 35:04you keep running your body engine
  791. 35:05without putting food in so the
  792. 35:07conservation of energy hey biology right
  793. 35:17underneath here's a neat little device
  794. 35:19here it's a
  795. 35:21generator consists of magnets these
  796. 35:25magnets and inside here I have a coil of
  797. 35:27wire and I'm going to turn that coil of
  798. 35:30wire and the coil of wire is going to
  799. 35:32turn inside the region called a magnetic
  800. 35:35field and when it does that it's going
  801. 35:37to induce electricity and when I do that
  802. 35:40I can light the
  803. 35:45lamp how that happens we'll talk about
  804. 35:48later in the course but for now we can
  805. 35:51look at this in terms of energy that
  806. 35:54light that you saw glowing that's a form
  807. 35:57of energy energ what was the source of
  808. 36:00that
  809. 36:01energy it was the Corn Flakes I ate this
  810. 36:04morning because it takes work I have to
  811. 36:07work on this to turn it see
  812. 36:10that and if I want to make it brighter I
  813. 36:13got to work more isn't that neat okay
  814. 36:17later we'll learn that if someone could
  815. 36:18keep turning this thing we could
  816. 36:20generate electricity to light up cities
  817. 36:22and sure enough we do and we have
  818. 36:24devices like this and we put a waterfall
  819. 36:26over here and turn it use the energy of
  820. 36:28the waterfall potential kinetic
  821. 36:31rotational mechanical off it goes as
  822. 36:33light huh do that or we could put a
  823. 36:35steam turbine here direct some expanding
  824. 36:37steam against a turbine against a Paddle
  825. 36:39Wheel and turn it and so our
  826. 36:41civilization really rests on devices
  827. 36:43like this but there's got to be some
  828. 36:45energy input to be transformed over here
  829. 36:49now here's a neat little thing when I
  830. 36:52turn this and I unscrew the lamp
  831. 36:59it becomes easier to turn easier to turn
  832. 37:03why well when it's
  833. 37:06unhooked there's no energy going off and
  834. 37:09so all I'm turning against now is the
  835. 37:11friction but when it's hooked up I'm
  836. 37:14pushing against the friction plus the
  837. 37:16electricity so let's I I can show you
  838. 37:18that can I have a volunteer could you
  839. 37:19come up here
  840. 37:22please what I'm going to do could you
  841. 37:24stand over here and what I want you to
  842. 37:26do is I'm not going to look I'm going
  843. 37:27going to look over here okay and I want
  844. 37:29you to unscrew that and I'll tell you
  845. 37:31when it's unscrewed cuz I'll feel the
  846. 37:33difference over here so let's tighten it
  847. 37:35up now okay I'm going to do it
  848. 37:40okay ah you just
  849. 37:42unscrewed screw it again ah now it's
  850. 37:46on ah
  851. 37:47off how do I know I'm looking as a
  852. 37:50mirror right up
  853. 37:52here no but you see that you try it you
  854. 37:55try it
  855. 38:04Can you feel it easier just do it go
  856. 38:06ahead see if it gets
  857. 38:08harder okay keep keep a nice steady
  858. 38:11Cadence
  859. 38:13yeah mind mirror okay okay here we go go
  860. 38:17ahead go
  861. 38:19ahead no how about now harder harder
  862. 38:24okay here gone
  863. 38:28is that nice huh huh huh okay okay the
  864. 38:32handle knows whether the lamp is
  865. 38:35on how about that what's going on there
  866. 38:42gang even why that happens the mechanics
  867. 38:45of why that happens we going to get up
  868. 38:47to and we get up to electricity and
  869. 38:49magnetism delicious stuff okay but we
  870. 38:53see that
  871. 38:54energy conserved the energy I put in the
  872. 38:57energy come out okay like that much
  873. 39:00easier to turn it try it after class
  874. 39:03yourself it takes energy to light the
  875. 39:07lamp that being the case let me ask you
  876. 39:11a
  877. 39:12question you get your car you want to
  878. 39:16find out what your gas mileage is cuz
  879. 39:17you want to compare it with your
  880. 39:18friend's cars you all got a contest this
  881. 39:21friend is bragging about getting so much
  882. 39:23mileage so much mileage you want to test
  883. 39:25yours too so you driving your car and
  884. 39:28you're driving along the highway you're
  885. 39:29looking at the speedometry you see how
  886. 39:30miles you go tank it up later on see how
  887. 39:32much gas divide one to the other you see
  888. 39:34how many miles per gallon you got how
  889. 39:35many kilometers per liter yeah and
  890. 39:38you're doing that and you're driving
  891. 39:39along and as you're doing that someone
  892. 39:41reaches over and turns on the
  893. 39:43radio and pulls out the light switch and
  894. 39:47pushes in the cigarette lighter and you
  895. 39:50say would you cut that out you're
  896. 39:52screwing up my gas
  897. 39:54mileage true or false
  898. 39:58check your
  899. 40:03neighbor what's the answer
  900. 40:05gang begin with the F end with alt does
  901. 40:10it begin with t ends with Rue which one
  902. 40:13how many say
  903. 40:15true how many say hey when you're
  904. 40:18driving at night time if you want to
  905. 40:19save on gas what should you do put your
  906. 40:22lights
  907. 40:24off people say how come you're driving
  908. 40:26with no lights I'm trying to save gas
  909. 40:28true or false true no true that's right
  910. 40:31so I want you guys to all learn
  911. 40:32something from this course I don't want
  912. 40:33you driving at night with your lights on
  913. 40:34drive with your lights off
  914. 40:36right no we maybe it's worth to burn a
  915. 40:39little more gasoline to keep from
  916. 40:40crunching up huh but nevertheless you
  917. 40:42are burning more gasoline when you put
  918. 40:45your lights on see if your friends know
  919. 40:47that now a lot or a little answer begins
  920. 40:49with an
  921. 40:50L probably a little okay probably a
  922. 40:53little but you really are there's no
  923. 40:54free lunch how about your airon in your
  924. 40:56car air conditioner when you put the air
  925. 40:58con on does it burn more gas something
  926. 41:01what an air con just just hooked at I
  927. 41:02mean a belt from it spins that thing
  928. 41:03that's just hooked down to the drive
  929. 41:05shaft anyway the old drive have turnning
  930. 41:07the hook on I mean that doesn't know the
  931. 41:09difference it doesn't know the
  932. 41:10difference did this know the difference
  933. 41:12when this was on it knows the difference
  934. 41:15it's got to push it's got to do work
  935. 41:16you're going to burn a lot more gas with
  936. 41:18your air conditioner on you know why
  937. 41:20especially on a hot hot day because now
  938. 41:23you're having to put out more energy to
  939. 41:25get to to to to to to uh air condition
  940. 41:28the car more energy how we do that we
  941. 41:31going to be talking
  942. 41:34about later okay talk about that too
  943. 41:37ain't that nice a whole lot of ideas we
  944. 41:39can talk about because all these ideas
  945. 41:40begin with f what are they physics
  946. 41:42that's right
  947. 41:44yeah let's talk a little bit about
  948. 41:47kinetic energy I haven't given you the
  949. 41:50relationship for kinetic energy yet let
  950. 41:52me give it to you
  951. 42:02it's a little
  952. 42:08tricky I'm not going to derive it it's
  953. 42:11derived in the footnote in your text
  954. 42:14I'll just state it without
  955. 42:18proof it's half the mass multiplied by
  956. 42:22the speed
  957. 42:24square remember momentum was just Mass
  958. 42:27time speed simple simple this somewhat
  959. 42:30more complex because it's half the mass
  960. 42:33time the speed
  961. 42:35square the square of the speed tells you
  962. 42:38that wow it really depends on speed
  963. 42:42because it's speed multiplied by speed
  964. 42:45so it's very very speed
  965. 42:48dependent when we talked about firing
  966. 42:51the rifle
  967. 42:53before the momentum of the bullet equal
  968. 42:57momentum of the rifle coming back so
  969. 43:00momentum momentum same impulse impulse
  970. 43:04same but that was kind of bothersome to
  971. 43:07some people cuz this has got something
  972. 43:09more than this and you know what it has
  973. 43:11more of energy okay because the had a
  974. 43:15bigger speed but now with energy it's
  975. 43:18squared woo so the Bullet going out
  976. 43:21might have the same momentum as the gun
  977. 43:22coming back but honey most of the energy
  978. 43:26is in the bullet fo not the gun cuz
  979. 43:29we're squaring that greater
  980. 43:32speed you square the speed the results
  981. 43:36of give you an
  982. 43:37example you're driving down the road in
  983. 43:40your car and you're going 30 kilomet per
  984. 43:43hour and you you step on the brakes you
  985. 43:47Screech to a stop you're going to change
  986. 43:50your kinetic energy you're going to
  987. 43:52change it from the kinetic energy you
  988. 43:53have at 30 km/ hour down to zero What's
  989. 43:56it take to change that kinetic energy
  990. 43:58gain it takes work and that work is what
  991. 44:02what kind of work stops your
  992. 44:04car we can let the equation guide our
  993. 44:07thinking it's a force and it's a
  994. 44:08distance distance is the distance your
  995. 44:10car skids yeah and the force must be the
  996. 44:13friction force of the wheels against the
  997. 44:15road yeah okay yeah I mean yeah between
  998. 44:18the wheels and the road okay so that's
  999. 44:19the friction Force that's the distance
  1000. 44:22okay so you let's suppose you skid 10 m
  1001. 44:2610 m
  1002. 44:28now we repeat we go twice as fast we get
  1003. 44:32twice the momentum yeah we go twice as
  1004. 44:35fast we step on The Brak so we skid to a
  1005. 44:38stop we skid
  1006. 44:40further some people say well twice as
  1007. 44:43fast you're going to Skid twice as far
  1008. 44:46tilt not twice as far how much far check
  1009. 44:51the neighbor see if the neighbor knows
  1010. 44:52already
  1011. 44:58twice as fast gang how many say twice as
  1012. 45:01far how many say more than twice as
  1013. 45:04far how many can calculate it to be f u
  1014. 45:09r four times as much so you're going to
  1015. 45:12SK if you got four times the energy
  1016. 45:14you're going to
  1017. 45:15Skid four times as far it turns out the
  1018. 45:18friction Force won't change with speed
  1019. 45:21how much the grab the tires in the road
  1020. 45:23grab each other does not have to do with
  1021. 45:24speed see so you get the same friction
  1022. 45:27now the same friction is going to drag
  1023. 45:29you four times as
  1024. 45:31far that's why people go on a little bit
  1025. 45:33when you first learn to drive you've got
  1026. 45:35to pick this up Savvy wise you know you
  1027. 45:37go a little bit faster you stim on the
  1028. 45:39brakes and it's surprising at first that
  1029. 45:40wow it took so much longer to stop or
  1030. 45:43you Bo that car up to three times as
  1031. 45:44fast now three times the speed okay so
  1032. 45:47not 30 not 60 but 90 km per hour now
  1033. 45:51with three times the speed you know you
  1034. 45:53got more energy more kinetic energy some
  1035. 45:56people know how much more check with a
  1036. 46:02neighbor how many say nine times as much
  1037. 46:06energy that means you're going to Skid
  1038. 46:08how much further nine times as far
  1039. 46:11that's right you get the idea so kinetic
  1040. 46:13energy is velocity dependent
  1041. 46:16squared here's a little device that's
  1042. 46:18kind of nice it's a portion of a racket
  1043. 46:21ball and I can invert it when I do that
  1044. 46:23am I giving it a little energy I'm going
  1045. 46:25to drop this and watch
  1046. 46:29did you see that it bounced higher than
  1047. 46:32when I dropped it HC and here's another
  1048. 46:35question too will it always bounce
  1049. 46:38higher from where I drop it if I got
  1050. 46:40higher up would it still bounce higher
  1051. 46:43where is the point where it will not
  1052. 46:44bounce higher anymore and why think
  1053. 46:47about
  1054. 46:49that show you another idea with energy
  1055. 46:51here's a super bow the Super Bowl I'm
  1056. 46:54going to let it go some people think a
  1057. 46:56Super Bowl come up to the same height
  1058. 46:58but it won't it comes up to about a
  1059. 47:02little bit more than half height okay
  1060. 47:04this superball is guaranteed to give a
  1061. 47:06th000 bounces we got this this morning
  1062. 47:09Troy's been playing with it Troy how
  1063. 47:10many bounces did you get on it uh 995
  1064. 47:13995 okay there's 96 97 98 okay let's see
  1065. 47:19999 1,000 sure enough that's true let's
  1066. 47:21try it
  1067. 47:23again a th
  1068. 47:27its elasticity is gone
  1069. 47:32gang think about that catch you later
  1070. 47:40physics trixies
  1071. 47:48[Music]
  1072. 47:57I
  1073. 47:59[Music]

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