08 -- Energy -- Sweet Conceptual Physics By Paul Hewitt — Transcript
Full transcript
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- 0:50what chapter are we going to talk about
- 0:51today
- 0:53gang what's it what is it begins with e
- 0:56energy how many people feel energy how
- 0:59many people wish they
- 1:00more we'll be talking about such thing
- 1:02now but before we talk about energy I
- 1:04want to talk about something that was
- 1:05somewhat related uh we talked before
- 1:08about the idea of momentum remember
- 1:11momentum momentum is inertia and motion
- 1:14and how do you get something moving if
- 1:17it's not moving how do you change the
- 1:19momentum of something you push on it and
- 1:22you provide what's called an Impulse
- 1:24impulse right impulse is not only
- 1:27Force it's not how hard you push only
- 1:30that will tell you how much momentum
- 1:31change you'll get it's how long you push
- 1:34and we talked about how long in terms of
- 1:36time didn't we we said Force multiplied
- 1:39by time would be numerically equal to
- 1:42you multiply the force that you exert on
- 1:44something huh multiply by the time that
- 1:47you exert on something you'll get a
- 1:48numerical quantity and that quantity is
- 1:50exactly equal to not the momentum but
- 1:53the change in momentum that you you
- 1:56produce by pushing
- 1:58huh and so we talked about this you know
- 2:01and we called this idea here how hard
- 2:03you push multiply by the duration in
- 2:05which pushing takes place we had a name
- 2:07for that see if your neighbor remembers
- 2:11the
- 2:14name don't be an imp now come on come
- 2:17on what is it gang impulse yeah don't be
- 2:21afraid to be a little verbal all
- 2:25right and so we said impulse is a change
- 2:28in the quantity and inertia and motion
- 2:31moving inertia we call that what that
- 2:33what do we call it begin with an M
- 2:37momentum okay don't be
- 2:42shy and that's what we talked about
- 2:44right and we said for big changes in
- 2:47momentum you'll have what kind of
- 2:49impulses begin with B big for small
- 2:52changes in momentum you'll have what
- 2:54kind of impulse begin with S small all
- 2:57right now what happens when what happens
- 2:59to the change in momentum when bouncing
- 3:02occurs larger or the same as if bouncing
- 3:05does not occur begin with a l larger and
- 3:09we can show that with this device here
- 3:11here's a
- 3:12dart it's like a dart and I have a sharp
- 3:15nail in there and what I'm going to do
- 3:17is I'm going to lift the dart up and I'm
- 3:19going to allow it to swing against that
- 3:21block it's going to make a collision
- 3:22watch
- 3:24this the block did not tip I'll try it
- 3:28again
- 3:32the block did not tip this time I'm
- 3:35going to remove the point and now I have
- 3:39just rubber here this time when I swing
- 3:42it it's going to bounce and when it
- 3:45bounces more impact or less
- 3:49more wow hands down no no contest I
- 3:53don't even have to lift it even as high
- 3:55I can even lift it this High
- 3:56watch hey so bouncing
- 4:00more change in momentum when it bounces
- 4:02when this come down and stop boom
- 4:04there's a certain change but when it
- 4:06hits stops and then it comes back out
- 4:08again then what more change or less more
- 4:12more change more change in momentum
- 4:14means what kind of impulse greater
- 4:16impulse and you saw that and it's the
- 4:18impulse that knocked the block over hey
- 4:20huh huh
- 4:23physics we're not going to talk about
- 4:25impulse and momentum today we're going
- 4:27to talk about a related idea how hard
- 4:30you push to get something going is one
- 4:32thing but how long you push is also
- 4:34important so far we talked about how
- 4:37long in terms of time how long in terms
- 4:41of what your watch reads we can talk
- 4:43about how long in terms
- 4:46of distance that's right and when we do
- 4:49that force times distance it turns out
- 4:53we'll get a change in some other
- 4:54quantity and that other quantity is not
- 4:56momentum it is begins with the e
- 5:00okay and this is what we're going to
- 5:02talk about
- 5:05today force times distance will produce
- 5:08a change in
- 5:10energy what is
- 5:12energy energy is that numerical quantity
- 5:16which appears in many many forms like
- 5:19mechanical energy we'll talk about
- 5:21mechanical energy today really energy of
- 5:23position potential energy energy of
- 5:25motion motion energy we don't say motion
- 5:28energy we use Greek word for motion
- 5:30begins with a K check your neighbor see
- 5:32if your neighbors on what kind of what's
- 5:35what what's motion energy with K kinetic
- 5:37yeah kinetic energy okay and then we
- 5:40could talk about later on we can talk
- 5:41about heat
- 5:43energy sound energy can anyone think of
- 5:47any other kinds of energy how many say
- 5:49no that's probably it there's probably
- 5:50no more come on gang some more light
- 5:58energy good radiant energy radium from
- 6:00radium things like that huh theral good
- 6:03thermal
- 6:04energy good nuclear energy and turns out
- 6:07energy of being it turns out everything
- 6:11has this quantity called Energy and
- 6:13that's given by Einstein celebrated
- 6:20equation later in the course we'll talk
- 6:22more about this the idea that energy and
- 6:24mass are two sides gang of the same coin
- 6:28you guys get Mass right you know what
- 6:30your mass is squashed up energy you are
- 6:33all bits of energy all squashed up and
- 6:36the more massive you are the more energy
- 6:38you have and sometimes you can convert
- 6:40from the inertia kind to the radiant
- 6:42kind and that's what happens in the sun
- 6:43and the stars and that's the energy of
- 6:45fusion and we'll talk about that too but
- 6:48today we're only going to talk about the
- 6:50simplest kind of energy mechanical
- 6:52energy and it's related idea work
- 6:56because this force times distance we
- 6:57don't call that impulse gang no Force
- 7:00time time is impulse we call Force time
- 7:03distance another word see if your
- 7:05neighbor doesn't know what it
- 7:09is who came
- 7:12unprepared doesn't
- 7:16know what is it gang all together work
- 7:19all right work we call that
- 7:22work okay work equals a change in and
- 7:26I'll just put e for energy all right
- 7:29if I'm lifting something up if I lift
- 7:33this block up I do work on the Block
- 7:34when I lift it because I'm exerting a
- 7:37force through some distance okay and the
- 7:40higher I lift it the more work I do the
- 7:44more work I do the more what it has
- 7:46begins with the E energy okay if I
- 7:49Elevate way way way up it's got a lot of
- 7:52energy and we call that energy energy of
- 7:55position and that energy of position you
- 7:57could you could put the work in today
- 7:58and you could use it tomorrow so you can
- 8:01store it it can be there for your
- 8:03potential use so that being the case
- 8:06gang we got a name for energy of
- 8:08position begin with PE what is it
- 8:12potential energy potential energy is
- 8:14energy of position we talked before
- 8:16about a slingshot when you pull a
- 8:18slingshot back further okay Boom the
- 8:20projectile is going to go faster and we
- 8:22said it going to go faster get more
- 8:24momentum today we're going to say yeah
- 8:26let's get more momentum but if it has
- 8:28momentum it also has something else
- 8:30begins with a e try it all right ends
- 8:34with J ends with
- 8:37Y energy okay but now it's energy of
- 8:41motion and we call Kinetic we
- 8:44call energy of motion what gang yeah so
- 8:48I can go like this and pull it with
- 8:49position more position more position
- 8:52more energy more energy whip boom more
- 8:55what more kinetic energy that's right
- 8:58how about cannons how about you get a
- 9:00cannon like
- 9:01this it's that long okay and you fire a
- 9:05cannonball out come the cannon ball huh
- 9:07let's suppose you have another Cannon
- 9:09same kind of Cannon only
- 9:12larger now you fire the same kind of
- 9:14cannon ball the same amount of powder
- 9:17out it goes in which case will the
- 9:19canonball go
- 9:21further how many say the longer one show
- 9:23a hands e how many say the longer one
- 9:26because there's more impulse on it
- 9:30show her
- 9:31hands how many say wait a minute impul
- 9:34impulse was the other day I don't know
- 9:36about
- 9:37today come on how impulse what is
- 9:39impulse gang it's a force than the time
- 9:42during which it acts but couldn't we
- 9:45also say hey it's going to go further
- 9:47because there's more energy given to it
- 9:50how many see
- 9:51that even if the force is the same cuz
- 9:55over here I hit with a certain Force
- 9:57here a certain Force but here the Force
- 9:59acts over this
- 10:01distance here the force acts over this
- 10:03distance which is bigger this quantity
- 10:06or this quantity this quantity so you're
- 10:09get you're doing more work on the
- 10:10Cannonball so it's going to leave with
- 10:12more kinetic energy and we can kind of
- 10:14see if something got a lot of kinetic
- 10:15energy I got a lot of momentum if I got
- 10:17a little kinetic energy I got a little
- 10:18momentum they're
- 10:20related they're related that means it
- 10:22can be confusing sometimes we're not
- 10:24going to push that to death though just
- 10:26want you to know that when you do work
- 10:27on something you can can change the
- 10:30energy that it
- 10:34has I can kind of show you that with
- 10:36this bowling ball over
- 10:39here here's a bowling ball suspender
- 10:42from the ceiling and what I'm going to
- 10:44do is I'm going to do work on this
- 10:45bowling ball and increase its potential
- 10:47energy cuz what I'm going to do is I'm
- 10:49going to pull the bowling ball back now
- 10:51it's going to take a force to do that
- 10:53this little device here will show the
- 10:55force that I apply and we can look at
- 10:58this kind of close up and we can see
- 11:00that as I pull
- 11:01it more and more the force gets more
- 11:04greater greater greater notice the force
- 11:07is varying with the angle it gets very
- 11:10complicated to multiply the force times
- 11:13the distance because the force keeps
- 11:15changing with the distance so to
- 11:17calculate that you need a kind of
- 11:19mathematics that we're not into right
- 11:21now it's called calculus but it turns
- 11:23out when I do that and I pull with an
- 11:25increasing increasing increasing Force
- 11:27higher higher higher higher higher I'll
- 11:29get a particular number here but you
- 11:31know what I've raised it this high off
- 11:34the ground if I simply pick it up
- 11:37straight up it takes more Force but I
- 11:40lose I I I go a smaller distance and
- 11:43guess what that greater force times a
- 11:44smaller distance is compared to the
- 11:46variable force times a long distance
- 11:49take one guess what the energy is at the
- 11:51end both ways same take a guess begins
- 11:55with a SS now take a
- 11:57guess how many sit next to someone oh
- 12:00check check the neighbor check the
- 12:10neighbor what is it gang same same
- 12:13that's right that's right I'll show you
- 12:15another nice thing with this
- 12:18pendulum this pendulum illustrates one
- 12:21of the most important ideas in
- 12:22physics what I'm going to do is I'm
- 12:24going to hold this against my teeth and
- 12:26I'm going to let it go okay and you and
- 12:29see what
- 12:31happens fall short I didn't Flinch man
- 12:35should I do it again I'll close my
- 12:41eyes I I really did have my eyes closed
- 12:43okay you know what gang what's this
- 12:47illustrating how many say oh it's
- 12:49probably not illustrating anything it's
- 12:51just a bowling ball going back and come
- 12:53on you guys this illustrates energy
- 12:57conservation the idea that you don't
- 12:59don't create or you don't destroy energy
- 13:01you just slish slos it from one form to
- 13:04another when I lifted this up it had
- 13:06energy of what begin with p position
- 13:09right and I let it go it turns into
- 13:11energy of motion kinetic right and so
- 13:14the position motion position motion
- 13:16position but here's the idea when I
- 13:19started I did work and lifted it to a
- 13:21certain amount it's got a certain amount
- 13:22of energy call it a th units when I let
- 13:25it
- 13:26go whoops okay well I did a little work
- 13:29on the wall okay but the idea is it will
- 13:31never come up higher if it came up
- 13:34higher it would have more than a th000
- 13:36units and we have a little dictum in
- 13:38physics no can be or we've never seen
- 13:43such a thing never as anyone recorded
- 13:46and verified the idea that something
- 13:49could put out more energy than was put
- 13:51into
- 13:51it we call that idea the conservation of
- 13:55energy
- 14:03the
- 14:05pendulum at this level is lifted and has
- 14:08a certain potential energy at this point
- 14:11a PO potential energy with respect to
- 14:14say this level that's how much potential
- 14:16energy maybe it's a th units let's call
- 14:18it a
- 14:20th those units by the way would be
- 14:22called Jewels Newton meter we're not
- 14:25going to get too much into the into that
- 14:27too deeply into that but say thousand
- 14:29units of energy here now it goes into no
- 14:32more potential energy it's all what kind
- 14:34of energy gang
- 14:36kinetic some people know the value of
- 14:39the kinetic energy there and some people
- 14:41don't see if you're sitting next to
- 14:43someone who
- 14:52[Music]
- 14:54do how many say it's a
- 14:57thousand how many don't really know how
- 14:59I don't know I haven't paying attention
- 15:00man I don't know what it is show a
- 15:04hands it's a thousand yeah a th000
- 15:06jewels and when it goes to the other
- 15:08side what will it be a thousand or not
- 15:12quite it turns out not quite boom
- 15:16Energy's been destroyed yes or no answer
- 15:19begin with an
- 15:20N account for the energy then it turns
- 15:24out when you're swinging it never quite
- 15:26comes back to where it was you know why
- 15:29it's transferring the energy somewhere
- 15:32else guess
- 15:36where how's the temperature feel today
- 15:39gang relatively
- 15:43cool how many say that's strange it
- 15:46seems to be warming
- 15:48up okay A little exaggeration but it is
- 15:52that thing's banging into the air and
- 15:54when it bangs into the air boom what
- 15:55happened to the air molecule move a
- 15:56little faster and we'll learn later on
- 15:58that itic energy of air molecules honey
- 16:00we talking about
- 16:02temperature and so what'll happen is the
- 16:04energy go from that to the energy of the
- 16:05molecules in the room it dissipates in
- 16:07the form of heat see but you always have
- 16:11it there it always adds up and that's
- 16:14kind of nice all the physics experiments
- 16:16you do you always find out the energy
- 16:18score Remains the Same and sometimes
- 16:20when it doesn't seem to you discover
- 16:22things that maybe you didn't know about
- 16:23before it's marvelous a marvelous
- 16:26principle of physics conservation of
- 16:28energy let calculate the energy of any
- 16:31system maybe it's a Galaxy about to
- 16:32explode calculate the total energy let
- 16:35that Galaxy do no matter what it wants
- 16:37to do is spin around I don't care
- 16:39what some some big event then draw a
- 16:42dotted line around it calculate the
- 16:44energy in there again what do you got
- 16:45guess what same darn number it might be
- 16:48different forms now maybe more light
- 16:49than before but the energy just
- 16:51transforms from one form to another and
- 16:53that's kind of
- 16:57neat let's suppose we have the case of a
- 17:00person up at the top of a flag
- 17:04bow and they're up at the top of that
- 17:06flag bow and they're going to dive into
- 17:08a little bucket of water he used to do
- 17:11this in circuses okay and here's a dude
- 17:13up here he's going to jump and let's
- 17:16suppose up at the top there he has
- 17:1910,000 units of energy that's his
- 17:22potential energy isn't it he's at rest
- 17:25so being at rest what would his kinetic
- 17:27energy be zero zero
- 17:31would just say zero
- 17:35and right into the bucket when he gets
- 17:37down to the bottom of the bucket the
- 17:39potential energy is what zero zero cuz
- 17:42we took this with respect to the ground
- 17:45so down here it's got a potential energy
- 17:46of zero I know you're sitting next to
- 17:48someone knows what the kinetic energy of
- 17:50splat is I know you do that just just
- 17:53double check to be sure what's the value
- 17:55of the kinetic energy
- 17:57here how much kinetic energy 10,000 how
- 18:00many people don't say
- 18:0310,000 come on you guys there's going to
- 18:05be
- 18:0610,000 10,000 units hey when the dude
- 18:09gets halfway down the potential energy
- 18:12is only
- 18:14half 5,000 there are people can
- 18:18calculate what the kinetic energy must
- 18:20be see if you're sitting next to one
- 18:29what's it going to be
- 18:30g000 5,000 let's suppose when he gets
- 18:333/4 of the way down his potential energy
- 18:35over here is now only what one quarter
- 18:38of this one quarter of that looks like
- 18:422500 will the kinetic energy be more or
- 18:45less you know it's going to be more
- 18:47picking up huh and what will the kinetic
- 18:49energy be at the at the one quarter up
- 18:51Mount huh
- 18:5475 such that what did you know do you
- 18:57see the rule here here here here here
- 19:00here anywhere going to have the same
- 19:03energy and when he finally comes down
- 19:05here the kinetic energy goes to zero
- 19:06boom calculate the heat of the bucket
- 19:08and the heat of his remains and what do
- 19:10you got then you've got 10,000 units of
- 19:12heat energy and that dissipates
- 19:14dissipates dissipates but it's always
- 19:16there energy score stays the
- 19:25same show you something kind of neat
- 19:33here I've got
- 19:36a piece of metal I'm going to weigh
- 19:46it Hunker metal weighs a little bit more
- 19:48than 10 Newtons just about 10 and 1 12
- 19:51Newtons see that okay 10 and 1 12
- 19:54Newtons now what I'm going to do is I'm
- 19:56going to hold it with two scales
- 19:59and you guys tell me what's the reading
- 20:01going to be in each scale now this is
- 20:04old stuff one scale there one scale here
- 20:09wish I had one more
- 20:15hand it should be half gang is it half
- 20:20let me take this one
- 20:22off and at an angle it gets wild
- 20:26information overload today so we'll only
- 20:29talk about straight up and down
- 20:42okay my clutchness is showing there we
- 20:46go half so I can hold it up with half as
- 20:49much force when this supplies the other
- 20:53side huh is that right okay now I'm
- 20:56going to do work on this and lift it
- 20:58okay
- 21:01let's suppose first of all I do work and
- 21:03I lift it like
- 21:05this I want to lift it let's suppose I
- 21:09want to lift that up to
- 21:10the 20 cm Mark okay right to here okay
- 21:14watch
- 21:17this how high did I move my hand I move
- 21:20the bottom of this up 20
- 21:22cm how far did my hand move more less or
- 21:26the
- 21:27same did you see it's the
- 21:29same if you take that reading which is
- 21:32about 10 and2 and multiply it by the 20
- 21:35cm you'll get a number okay that's a
- 21:39number that's the amount of work I'm
- 21:41doing when I lift it up okay and it's
- 21:45going to take that amount of work to
- 21:47lift it up 20 cm let me put that on the
- 21:49board
- 21:59the work I'm going to do is force times
- 22:02distance is going to be it would let's
- 22:04round it off to 10 okay 10 Newtons and
- 22:08the distance I raised it where it was 20
- 22:10cm or 210 10 of a meter 2/10 of a meter
- 22:14and that's going to be equal to two
- 22:17Newton meter and we call that a jewel
- 22:20two jewels of work to lift it up 20
- 22:24cm I'm going to lift it up 20 cm again
- 22:28but I don't like having to pull so hard
- 22:30I don't want to pull with 10 Newtons I'm
- 22:32getting tired I'd like to pull with
- 22:34about five Newtons how could I do
- 22:37that I could tie this onto
- 22:41here we have to wonder if the Ancients
- 22:44who constructed the pyramids knew about
- 22:46so simple an idea as we're talking about
- 22:49today because now I can lift it as
- 22:52you've seen with half half the
- 22:55force half the force now I'm going to
- 22:58lift this
- 22:59up 20 cm and you watch how far my hand
- 23:03moves where's the 20 cm Mark right
- 23:06[Applause]
- 23:07here how far did my hand move more the
- 23:10same or less much more can you see twice
- 23:13as much I moved my hand through 4/10 of
- 23:16a meter but the force I exerted was only
- 23:205 Newtons but I had to exert it through
- 23:23through twice as much and what's the
- 23:25result gang two jewels
- 23:29this is like a
- 23:30machine some people think that a machine
- 23:33can change the amount of energy those
- 23:36people are wrong a machine can't put out
- 23:40any more energy any more work than put
- 23:43into it what a machine can do is change
- 23:47the force that's required to do that
- 23:51work so whether it's a pulley system or
- 23:54whether it's a lever the work you put in
- 23:57is the work you get get out and you
- 23:59could hold the lever at different
- 24:01positions and you could get different
- 24:03forces to do the same work but watch out
- 24:06gang no machine can put out more energy
- 24:10than has put into it okay what can it
- 24:14change see if your neighbor
- 24:22knows we can kind of see the answer to
- 24:24that when we look at the equation for
- 24:26work work is what force times distance
- 24:29since the work input work output is the
- 24:31same what you can do is you can slish
- 24:33slash back and forth between whether
- 24:35you're increasing force or increasing
- 24:37distance consider a huge truck with a
- 24:40flat tire and that truck got to be
- 24:43lifted so the tire can be taken off can
- 24:46you imagine the Ancients back when the
- 24:48pyramids were being built seeing a
- 24:50little girl using a bumper
- 24:52jack to lift the Mac Truck a little
- 24:56kid and that come that say they see the
- 24:59kid go they see the truck come up in the
- 25:01air my gosh kid how did you how did you
- 25:04lift that truck and she said well I had
- 25:07to just do some work on the Jack and the
- 25:09work on the jack did work in the truck
- 25:11and the work on the truck same as the
- 25:12work on the jack no big deal this is
- 25:1420th century stuff he says but I'm not
- 25:1720th century yet could you explain that
- 25:18to me and the little girl would say this
- 25:21well look at this when I push
- 25:23down she say I have to push only a
- 25:25little force compared to the force of
- 25:27the truck
- 25:29but when I push down look how far I got
- 25:31to
- 25:32go she said multiply my push times the
- 25:35distance I push you get a number right
- 25:37and all of people say yeah you got a
- 25:39number now multiply the force on the
- 25:41other side by how high it go and you get
- 25:44a number right and guess how big the
- 25:46numbers are compared to each other gang
- 25:48same
- 25:49same what if she went like this click
- 25:52click and the truck went click
- 25:55click honey that's magic that's not
- 25:58physic you hear me okay but isn't that
- 26:00neat that it always turns out to be just
- 26:03the force down time the distance equals
- 26:05a force times the distance we kind of
- 26:07show that like this the force she might
- 26:09push it be like that and the force she
- 26:11lifts might be like that but the
- 26:14distance she pushes is like that and the
- 26:17distance this Rises is like that and
- 26:20these would be the same not quite the
- 26:23same some of the energy goes into
- 26:25working and heating up the jack a little
- 26:26bit so this number is always a little
- 26:28bit smaller and how much smaller we get
- 26:31into the idea of efficiency won't talk
- 26:33about that today but with ideal
- 26:35efficiency this can never be bigger than
- 26:39this so you're walking down the street
- 26:41and you see some some dude pulling in a
- 26:43pulley system and you see him
- 26:45single-handedly lifting a piano and a
- 26:46piano is going up in the air a piano
- 26:48that a human being could never lift one
- 26:50of the grand grand piano type jobs okay
- 26:53and here we go ch ch ch ch ch ch and
- 26:55that piano's going up in the
- 26:57air how can be such a
- 27:00thing well first of all if the pulley
- 27:03system means that the piano is being
- 27:04held by 10
- 27:06ropes then the Rope tension will be the
- 27:08same in all 10 barring friction then his
- 27:11free end he's pulling one of those
- 27:13tensions the same as those so he's got
- 27:15one tenth the weight of the piano on
- 27:17every rope the one he's pulling so the
- 27:19piano weighs a th he pulls a tenth of a
- 27:21th what's that 100 if he can pull 100 up
- 27:24it goes but furthermore you multiply how
- 27:28many meters of rope go through his
- 27:31hands by the force he pulls you get a
- 27:33number yeah now multiply the weight of
- 27:36the piano Among Us H times the amount of
- 27:40meters it goes up smaller number yeah
- 27:42multiply those two together what's the
- 27:43biggest that number can
- 27:45be y same same a't that neat it works it
- 27:50works
- 27:57energy I remember years ago I used to
- 27:59hear people talk about the the so-called
- 28:01conspiracy of the oil
- 28:04companies that their uh cars automobiles
- 28:07with little gadgets usually involving
- 28:10magnets attached to the carburetors of
- 28:12the cars would allow cars to go
- 28:15fantastic distances but the oil
- 28:18companies have bought up the patents and
- 28:20they're withholding it from the public
- 28:21so the public will have to guzzle down
- 28:23more oil make more money for the
- 28:24companies see the idea that maybe I was
- 28:27told one time time for example that with
- 28:29these devices one could put a couple of
- 28:31liters of gasoline in your car and drive
- 28:34from Boston Massachusetts to San
- 28:35Francisco and a couple of laders but the
- 28:38oil companies won't let you do it so you
- 28:40have to burn a couple of barrels or
- 28:41something like that well how about that
- 28:44gang is there any is are there any rules
- 28:47that govern this sort of thing answer
- 28:49begin with a
- 28:51Why Try it ends with a p try it yep
- 28:56there is and that's the energy
- 28:58conservation and let's talk about that
- 29:00right
- 29:01here okay we're going to push the car
- 29:04across country it's going to take energy
- 29:07to do that it's going to take energy to
- 29:09do work on the car and that work is the
- 29:12force times the distance that we're
- 29:13pushing the car now what's the force
- 29:15that keeps a car going even in a
- 29:17straight road what's the car what's the
- 29:19force it's the force against friction
- 29:22and for a very streamlined car that
- 29:24force can be something like 1,000
- 29:26Newtons a th000 Newtons at highway speed
- 29:29so let's see what
- 29:31happens what's the energy over here
- 29:33that's the energy given to us by the
- 29:35gasoline and that's a certain amount it
- 29:38turns out gasoline has an energy content
- 29:41of about 40 million Jews per liter 40
- 29:46million now this is what the energy
- 29:50thing means if you have 40 million units
- 29:53of energy to spend
- 30:01that's the energy content in your
- 30:02gasoline what we're saying is these two
- 30:06numbers multiplied together can't be
- 30:08bigger than that cuz that's what you got
- 30:11to spend in your gas tank I don't care
- 30:12what kind of Gadget you got that's
- 30:16it now how you going to do it you're
- 30:18going to push your car through some
- 30:21distance let's see how far you can push
- 30:24it how far can you push it well if
- 30:26you're pushing it uphill it's going to
- 30:28take more Force so this will be smaller
- 30:30pushing a downhill maybe gravity will do
- 30:31it for you you don't need anything okay
- 30:33but along a level Road you got to push
- 30:34against the Air drag isn't that true the
- 30:36faster you go to my Air drag and let's
- 30:38take a an average unit of uh 1,000
- 30:41Newtons 1,000 Newtons for our force and
- 30:45now we want to calculate can we
- 30:46calculate gang at our seats huh pencil
- 30:49and paper what's the distance that the
- 30:51car could go with a th units units of
- 30:55force pushing it along how many kilm
- 30:58will the car go on that one liter
- 31:02calculate such thing
- 31:23now am I doing it right gang am I doing
- 31:26it right if this time this equals that
- 31:29then this equals that divided by this is
- 31:31that right that is that the algebra we
- 31:33can do that look at the zeros
- 31:36honey now anyone have a
- 31:40calculator how about without a
- 31:41calculator we can do huh one goes into
- 31:4440,000 how many times 40,000 so this car
- 31:47is going to go 40,000
- 31:49M and it turns out if we express force
- 31:53in Newtons distance in meters and energy
- 31:55in Jews the units will match so we have
- 31:57no verions to make so this turns out to
- 32:00be 40,000 M we don't say 40,000 M we say
- 32:0540
- 32:06kilomet so it turns out to be 40
- 32:11kilm you know what this means gang in a
- 32:14car that is 100% efficient you can't
- 32:17have that make believe you can 100%
- 32:21efficient that means all the energy of
- 32:23the gasoline goes into moving the car
- 32:26none goes into the heat none goes into
- 32:27the sound none goes into the friction
- 32:29huh all into the car it's the upper
- 32:32limit if you have to push with a th000
- 32:35Newtons which is reasonable then the
- 32:38greatest distance you can possibly get
- 32:40Nature's Nature's ultimate is 40 km so
- 32:44this car will give you 40 km per
- 32:47liter and there's only one way you can
- 32:49get more how's
- 32:51that what is that this is huh how can
- 32:54you get more distance you go outside the
- 32:56car and you push on it Yourself by
- 32:58changing the force that's right if you
- 33:00can decrease the force then you can
- 33:02increase the distance do you see that
- 33:04and how do we decrease the force with
- 33:07cars we make them streamlined so they
- 33:10cut through less Air drag as they move
- 33:12isn't that nice see and usually you're
- 33:15going to get about 25% efficiency which
- 33:18means you get 25% of this okay which
- 33:20means you usually get about 10 km per
- 33:22liter see yeah so what you're trying to
- 33:25do is to increase the efficiency but
- 33:27this is in the upper limit see now most
- 33:31people don't realize this people don't
- 33:34know there's an upper limit that
- 33:36Nature's limit and they think that
- 33:37little gadgets or something can how
- 33:39somehow beat this and many of the
- 33:42devices that are submitted to the patent
- 33:44office flout this all together and the
- 33:47first thing the patent types do with
- 33:49some particular machine they say wait a
- 33:50minute is it going to violate the
- 33:52conservation of energy if it does we
- 33:54don't want to look at it and the reason
- 33:56is the patent people have through
- 33:58thousands and thousands and thousands of
- 34:00schemes maybe hundreds and hundreds
- 34:01hundreds of schemes which all seem to
- 34:03give you out more energy than before and
- 34:05they find out where the little flaw is
- 34:07so at this point they just say look if
- 34:09it violates energy conservation come on
- 34:11it's another whacko wacko because
- 34:13nothing has so far shown that you can
- 34:16get more out than you put
- 34:19in so there are rules to the universe
- 34:22and that's one energy conservation you
- 34:25can change from one form to another but
- 34:27you can't get more than you started with
- 34:30no free lunch
- 34:32gang and with most machines you don't
- 34:35even break even because some of that
- 34:37energy goes into overcoming friction
- 34:39turns into
- 34:42heat so why do you eat your corn flakes
- 34:45in the morning
- 34:46gang you keep eat your corn flakes in
- 34:48the morning because what do you do those
- 34:50things are being torn apart in your
- 34:52stomach when it torn apart the bonds
- 34:53that energy becomes part of guess who
- 34:56and you use that to go about your day
- 34:58and what happens you stop eating how
- 35:00long can you keep running your car
- 35:02without putting gasoline in how long can
- 35:04you keep running your body engine
- 35:05without putting food in so the
- 35:07conservation of energy hey biology right
- 35:17underneath here's a neat little device
- 35:19here it's a
- 35:21generator consists of magnets these
- 35:25magnets and inside here I have a coil of
- 35:27wire and I'm going to turn that coil of
- 35:30wire and the coil of wire is going to
- 35:32turn inside the region called a magnetic
- 35:35field and when it does that it's going
- 35:37to induce electricity and when I do that
- 35:40I can light the
- 35:45lamp how that happens we'll talk about
- 35:48later in the course but for now we can
- 35:51look at this in terms of energy that
- 35:54light that you saw glowing that's a form
- 35:57of energy energ what was the source of
- 36:00that
- 36:01energy it was the Corn Flakes I ate this
- 36:04morning because it takes work I have to
- 36:07work on this to turn it see
- 36:10that and if I want to make it brighter I
- 36:13got to work more isn't that neat okay
- 36:17later we'll learn that if someone could
- 36:18keep turning this thing we could
- 36:20generate electricity to light up cities
- 36:22and sure enough we do and we have
- 36:24devices like this and we put a waterfall
- 36:26over here and turn it use the energy of
- 36:28the waterfall potential kinetic
- 36:31rotational mechanical off it goes as
- 36:33light huh do that or we could put a
- 36:35steam turbine here direct some expanding
- 36:37steam against a turbine against a Paddle
- 36:39Wheel and turn it and so our
- 36:41civilization really rests on devices
- 36:43like this but there's got to be some
- 36:45energy input to be transformed over here
- 36:49now here's a neat little thing when I
- 36:52turn this and I unscrew the lamp
- 36:59it becomes easier to turn easier to turn
- 37:03why well when it's
- 37:06unhooked there's no energy going off and
- 37:09so all I'm turning against now is the
- 37:11friction but when it's hooked up I'm
- 37:14pushing against the friction plus the
- 37:16electricity so let's I I can show you
- 37:18that can I have a volunteer could you
- 37:19come up here
- 37:22please what I'm going to do could you
- 37:24stand over here and what I want you to
- 37:26do is I'm not going to look I'm going
- 37:27going to look over here okay and I want
- 37:29you to unscrew that and I'll tell you
- 37:31when it's unscrewed cuz I'll feel the
- 37:33difference over here so let's tighten it
- 37:35up now okay I'm going to do it
- 37:40okay ah you just
- 37:42unscrewed screw it again ah now it's
- 37:46on ah
- 37:47off how do I know I'm looking as a
- 37:50mirror right up
- 37:52here no but you see that you try it you
- 37:55try it
- 38:04Can you feel it easier just do it go
- 38:06ahead see if it gets
- 38:08harder okay keep keep a nice steady
- 38:11Cadence
- 38:13yeah mind mirror okay okay here we go go
- 38:17ahead go
- 38:19ahead no how about now harder harder
- 38:24okay here gone
- 38:28is that nice huh huh huh okay okay the
- 38:32handle knows whether the lamp is
- 38:35on how about that what's going on there
- 38:42gang even why that happens the mechanics
- 38:45of why that happens we going to get up
- 38:47to and we get up to electricity and
- 38:49magnetism delicious stuff okay but we
- 38:53see that
- 38:54energy conserved the energy I put in the
- 38:57energy come out okay like that much
- 39:00easier to turn it try it after class
- 39:03yourself it takes energy to light the
- 39:07lamp that being the case let me ask you
- 39:11a
- 39:12question you get your car you want to
- 39:16find out what your gas mileage is cuz
- 39:17you want to compare it with your
- 39:18friend's cars you all got a contest this
- 39:21friend is bragging about getting so much
- 39:23mileage so much mileage you want to test
- 39:25yours too so you driving your car and
- 39:28you're driving along the highway you're
- 39:29looking at the speedometry you see how
- 39:30miles you go tank it up later on see how
- 39:32much gas divide one to the other you see
- 39:34how many miles per gallon you got how
- 39:35many kilometers per liter yeah and
- 39:38you're doing that and you're driving
- 39:39along and as you're doing that someone
- 39:41reaches over and turns on the
- 39:43radio and pulls out the light switch and
- 39:47pushes in the cigarette lighter and you
- 39:50say would you cut that out you're
- 39:52screwing up my gas
- 39:54mileage true or false
- 39:58check your
- 40:03neighbor what's the answer
- 40:05gang begin with the F end with alt does
- 40:10it begin with t ends with Rue which one
- 40:13how many say
- 40:15true how many say hey when you're
- 40:18driving at night time if you want to
- 40:19save on gas what should you do put your
- 40:22lights
- 40:24off people say how come you're driving
- 40:26with no lights I'm trying to save gas
- 40:28true or false true no true that's right
- 40:31so I want you guys to all learn
- 40:32something from this course I don't want
- 40:33you driving at night with your lights on
- 40:34drive with your lights off
- 40:36right no we maybe it's worth to burn a
- 40:39little more gasoline to keep from
- 40:40crunching up huh but nevertheless you
- 40:42are burning more gasoline when you put
- 40:45your lights on see if your friends know
- 40:47that now a lot or a little answer begins
- 40:49with an
- 40:50L probably a little okay probably a
- 40:53little but you really are there's no
- 40:54free lunch how about your airon in your
- 40:56car air conditioner when you put the air
- 40:58con on does it burn more gas something
- 41:01what an air con just just hooked at I
- 41:02mean a belt from it spins that thing
- 41:03that's just hooked down to the drive
- 41:05shaft anyway the old drive have turnning
- 41:07the hook on I mean that doesn't know the
- 41:09difference it doesn't know the
- 41:10difference did this know the difference
- 41:12when this was on it knows the difference
- 41:15it's got to push it's got to do work
- 41:16you're going to burn a lot more gas with
- 41:18your air conditioner on you know why
- 41:20especially on a hot hot day because now
- 41:23you're having to put out more energy to
- 41:25get to to to to to to uh air condition
- 41:28the car more energy how we do that we
- 41:31going to be talking
- 41:34about later okay talk about that too
- 41:37ain't that nice a whole lot of ideas we
- 41:39can talk about because all these ideas
- 41:40begin with f what are they physics
- 41:42that's right
- 41:44yeah let's talk a little bit about
- 41:47kinetic energy I haven't given you the
- 41:50relationship for kinetic energy yet let
- 41:52me give it to you
- 42:02it's a little
- 42:08tricky I'm not going to derive it it's
- 42:11derived in the footnote in your text
- 42:14I'll just state it without
- 42:18proof it's half the mass multiplied by
- 42:22the speed
- 42:24square remember momentum was just Mass
- 42:27time speed simple simple this somewhat
- 42:30more complex because it's half the mass
- 42:33time the speed
- 42:35square the square of the speed tells you
- 42:38that wow it really depends on speed
- 42:42because it's speed multiplied by speed
- 42:45so it's very very speed
- 42:48dependent when we talked about firing
- 42:51the rifle
- 42:53before the momentum of the bullet equal
- 42:57momentum of the rifle coming back so
- 43:00momentum momentum same impulse impulse
- 43:04same but that was kind of bothersome to
- 43:07some people cuz this has got something
- 43:09more than this and you know what it has
- 43:11more of energy okay because the had a
- 43:15bigger speed but now with energy it's
- 43:18squared woo so the Bullet going out
- 43:21might have the same momentum as the gun
- 43:22coming back but honey most of the energy
- 43:26is in the bullet fo not the gun cuz
- 43:29we're squaring that greater
- 43:32speed you square the speed the results
- 43:36of give you an
- 43:37example you're driving down the road in
- 43:40your car and you're going 30 kilomet per
- 43:43hour and you you step on the brakes you
- 43:47Screech to a stop you're going to change
- 43:50your kinetic energy you're going to
- 43:52change it from the kinetic energy you
- 43:53have at 30 km/ hour down to zero What's
- 43:56it take to change that kinetic energy
- 43:58gain it takes work and that work is what
- 44:02what kind of work stops your
- 44:04car we can let the equation guide our
- 44:07thinking it's a force and it's a
- 44:08distance distance is the distance your
- 44:10car skids yeah and the force must be the
- 44:13friction force of the wheels against the
- 44:15road yeah okay yeah I mean yeah between
- 44:18the wheels and the road okay so that's
- 44:19the friction Force that's the distance
- 44:22okay so you let's suppose you skid 10 m
- 44:2610 m
- 44:28now we repeat we go twice as fast we get
- 44:32twice the momentum yeah we go twice as
- 44:35fast we step on The Brak so we skid to a
- 44:38stop we skid
- 44:40further some people say well twice as
- 44:43fast you're going to Skid twice as far
- 44:46tilt not twice as far how much far check
- 44:51the neighbor see if the neighbor knows
- 44:52already
- 44:58twice as fast gang how many say twice as
- 45:01far how many say more than twice as
- 45:04far how many can calculate it to be f u
- 45:09r four times as much so you're going to
- 45:12SK if you got four times the energy
- 45:14you're going to
- 45:15Skid four times as far it turns out the
- 45:18friction Force won't change with speed
- 45:21how much the grab the tires in the road
- 45:23grab each other does not have to do with
- 45:24speed see so you get the same friction
- 45:27now the same friction is going to drag
- 45:29you four times as
- 45:31far that's why people go on a little bit
- 45:33when you first learn to drive you've got
- 45:35to pick this up Savvy wise you know you
- 45:37go a little bit faster you stim on the
- 45:39brakes and it's surprising at first that
- 45:40wow it took so much longer to stop or
- 45:43you Bo that car up to three times as
- 45:44fast now three times the speed okay so
- 45:47not 30 not 60 but 90 km per hour now
- 45:51with three times the speed you know you
- 45:53got more energy more kinetic energy some
- 45:56people know how much more check with a
- 46:02neighbor how many say nine times as much
- 46:06energy that means you're going to Skid
- 46:08how much further nine times as far
- 46:11that's right you get the idea so kinetic
- 46:13energy is velocity dependent
- 46:16squared here's a little device that's
- 46:18kind of nice it's a portion of a racket
- 46:21ball and I can invert it when I do that
- 46:23am I giving it a little energy I'm going
- 46:25to drop this and watch
- 46:29did you see that it bounced higher than
- 46:32when I dropped it HC and here's another
- 46:35question too will it always bounce
- 46:38higher from where I drop it if I got
- 46:40higher up would it still bounce higher
- 46:43where is the point where it will not
- 46:44bounce higher anymore and why think
- 46:47about
- 46:49that show you another idea with energy
- 46:51here's a super bow the Super Bowl I'm
- 46:54going to let it go some people think a
- 46:56Super Bowl come up to the same height
- 46:58but it won't it comes up to about a
- 47:02little bit more than half height okay
- 47:04this superball is guaranteed to give a
- 47:06th000 bounces we got this this morning
- 47:09Troy's been playing with it Troy how
- 47:10many bounces did you get on it uh 995
- 47:13995 okay there's 96 97 98 okay let's see
- 47:19999 1,000 sure enough that's true let's
- 47:21try it
- 47:23again a th
- 47:27its elasticity is gone
- 47:32gang think about that catch you later
- 47:40physics trixies
- 47:48[Music]
- 47:57I
- 47:59[Music]
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