Фізика 7 НУШ. Лаб. №1 в 3d: Визначення середньої швидкості руху тіла (Урок №15, 3D симулятор) — Transcript
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- 0:02Lesson 15. Laboratory work number one.
- 0:07Determining the average speed of a body
- 0:09. 3D version. The goal is to study
- 0:18non-uniform motion of a body. To learn
- 0:22how to determine the average speed of a
- 0:23body. Equipment: PC or smartphone and
- 0:28an interactive 3D simulator. Virtual
- 0:34equipment: stopwatch, chute, tripod,
- 0:37ball, ruler, metal cylinder. In this
- 0:52lab work, the average speed of a body
- 0:54is determined experimentally: by using
- 0:56a tape or ruler, the distance traveled
- 0:58by the ball in a certain time interval
- 1:01as it moves down an inclined chute is
- 1:03measured. Using the obtained
- 1:13experimental data and the average speed
- 1:15formula (V average equals distance L
- 1:18divided by time T), the target value is
- 1:20calculated. Finally, the average speeds
- 1:28for each trial are compared, and the
- 1:30reasons for any discrepancies in their
- 1:32values are determined. The typical
- 1:37procedure is as follows. First, secure
- 1:42the chute at an angle to the table
- 1:44surface. Measure the distance L (small)
- 1:49from the ball to the metal cylinder.
- 1:53Third. Measure the time T (small) for
- 1:56the ball to roll down. Fourth. Repeat
- 2:01the experiment two more times. Each
- 2:05time reducing the distance to the
- 2:07cylinder. Fifth. For each trial,
- 2:14determine the average speed of the ball
- 2:16. Enter the obtained data into the
- 2:22table shown on the screen. During the
- 2:26experiment, it is necessary to follow
- 2:28safety rules and strictly adhere to the
- 2:30instructions. You can learn more about
- 2:34the real experiment from the video
- 2:36lesson on our channel using the link on
- 2:38the screen. If it is not possible to
- 2:47assemble the recommended experimental
- 2:49setup, this lab work can also be
- 2:51performed using an interactive 3D
- 2:53simulator, which is available on a PC,
- 2:55tablet, or smartphone via the link you
- 2:58will easily find in the video
- 2:59description. The application was
- 3:04developed in accordance with the
- 3:06requirements of the lab work. So, first
- 3:09. Open the interactive application
- 3:12using the link; second. Record the
- 3:17initial distance L (small) from the
- 3:19ball to the metal cylinder. Measure the
- 3:23time T (small) for the ball to roll
- 3:25down; fourth. Repeat the experiment two
- 3:28more times. Each time reducing the
- 3:32distance to the cylinder. Be sure to
- 3:38enter the obtained data into the table.
- 3:42But before you start the experiment, it
- 3:44is worth watching the video to the end
- 3:46and taking note of the following tips
- 3:48when using the simulator. The
- 3:55interactive simulator for the lab work
- 3:57on determining average speed is
- 3:59controlled with a mouse as follows. If
- 4:05we hold down the left mouse button, the
- 4:07camera rotates around our virtual setup
- 4:10. If we hold down the right mouse
- 4:15button, the camera can be moved up and
- 4:17down, left and right. If we scroll the
- 4:22wheel, we zoom out or in on the scene.
- 4:28For example, if we need to see at which
- 4:30mark our ball is located, in what
- 4:32position, we zoom in and clearly
- 4:34determine the position on the ruler
- 4:36marked on the chute. For example, right
- 4:41now the edge of the ball aligns with
- 4:43the value 187. cm. This is the position
- 4:50of the ball at the beginning when our
- 4:52scene loads. This is the maximum
- 5:01distance the ball can travel along the
- 5:03inclined chute until it hits the
- 5:05cylinder, which is located at the
- 5:06bottom, and its position is at the zero
- 5:09mark of our ruler. Thus, our
- 5:18experimental setup is now practically
- 5:20ready. It is already prepared. And we
- 5:26can begin our first experiment, where
- 5:29the ball travels down an inclined chute
- 5:31at a certain angle, in this case, 33 °
- 5:34. This is clearly visible on the
- 5:39control panel. It will roll down and
- 5:45travel a distance of 187 cm or 1.87 m.
- 6:00If we divide the number in centimeters
- 6:02by 100, to start the experiment—that
- 6:05is, to set the ball in motion and begin
- 6:07timing its travel—we need to press
- 6:09the start button on mobile phones so
- 6:11that the control panel does not obscure
- 6:13the scene. This is best done using the
- 6:26button next to the control menu, into
- 6:28which the control panel collapses. When
- 6:34pressed, this button allows us to
- 6:36release the ball and start the
- 6:37stopwatch sitting on the table. We can
- 6:44record the moment the motion ends in
- 6:46two ways: by directly watching the ball
- 6:48at the moment of impact. Or, if your
- 6:55browser version is up to date and has
- 6:57no restrictions, by listening to the
- 6:59sound of the impact. Therefore, if
- 7:05possible, increase the volume on your
- 7:08computer or smartphone and begin the
- 7:10experiment. The stopwatch must be
- 7:16stopped manually, just as it is done in
- 7:18a real, live experiment. So, let's
- 7:23begin. We press start and stop. As we
- 7:29can see, the ball traveled a distance
- 7:32of 1 m 87 cm or 187 cm in 1.68 seconds.
- 7:49If everything was done well, and you
- 7:51believe you did not mistime the
- 7:53pressing of the stop button, these data
- 7:55can now be entered into the table. If
- 8:04you made a mistake, you can reset the
- 8:06stopwatch, return the ball to its
- 8:08starting position, and repeat the
- 8:09experiment. Now we have measured a
- 8:18value of 1.64 seconds at the same
- 8:24distance of 187 cm. These L and T
- 8:29values can, I repeat, be entered into
- 8:35our table for experiment one. To move
- 8:41the ball to a specific position, you
- 8:44must first—this is a mandatory
- 8:46requirement—reset the stopwatch to
- 8:48avoid confusing the data. Then we will
- 8:53have the ability to change the position
- 8:55of the ball. The next two experiments
- 9:06should be performed at distances
- 9:07smaller than the maximum. And
- 9:15accordingly, they will need to be
- 9:16measured. The ball's position can be
- 9:20set either with a mouse or a finger on
- 9:23a smartphone touchscreen, or by using
- 9:25the slider. Ball position. Moreover,
- 9:29the slider moves the ball in increments
- 9:32of 1 cm. While moving it with a finger
- 9:38on a smartphone or a mouse on the scene
- 9:40, the movement will be performed with a
- 9:42precision of 1 mm. Therefore, for
- 9:48easier positioning of the ball, it
- 9:50might be better to use the slider. To
- 9:55lock the position, we need to approach
- 9:57the scene without having our hand in
- 9:59the way, otherwise, we will grab the
- 10:01ball. We are interested in the value of
- 10:06the final position of our ball. In this
- 10:10case, we are talking about 136 cm. The
- 10:17ball is not a point mass, so we need to
- 10:19track one of the points on the surface
- 10:21of the ball and the path it travels.
- 10:28Since the ball, at the moment it
- 10:30touches the cylinder, will have its
- 10:32edge at the zero mark. Therefore, it is
- 10:40best for us to orient ourselves when
- 10:42setting distance L to its extreme right
- 10:44side. That is, we now have a value of
- 10:52136 cm. This value can be entered into
- 10:59the table, provided that we conduct the
- 11:01experiment well and measure the time.
- 11:07Let's do that as well. So, in this way,
- 11:11let's observe how the ball moves. We
- 11:14press start and stop once more. After
- 11:19this, we also enter these data,
- 11:21distance and time, into the table. Next
- 11:27, we need to choose a third trial again
- 11:29at an even shorter distance and repeat
- 11:31the experiment. Determining the
- 11:38distance and measuring the time it
- 11:40takes for the ball to cover it, hitting
- 11:42the cylinder at the end of its movement
- 11:44. Fifth. For each trial, determine the
- 11:56average speed of the ball using the
- 11:58formula: V average equals L small.
- 12:04Distance divided by the time of the
- 12:06ball's movement, T small. For example,
- 12:12for trial one that we conducted, we
- 12:15have that dividing 1.87 meters by 1.64
- 12:26seconds will give us an average speed
- 12:28of the ball of 1.14 meters per second.
- 12:36Note that the experiment in the
- 12:37simulator is accompanied by an
- 12:39invisible assistant who records the
- 12:41data simultaneously with you in real
- 12:43time on the board in the form of a
- 12:45physics problem solution. This allows
- 12:47for a better understanding, through an
- 12:49example, of how the calculation process
- 12:52takes place. However, the numerical
- 12:54value itself will have to be calculated
- 12:57on your own. Also, the assistant will
- 13:02not help at all in trials two and three
- 13:04on the shorter paths of the ball. The
- 13:11last thing to pay attention to is that
- 13:13the simulator loads with a different
- 13:15trough length and tilt angle each time,
- 13:17so all three trials should be completed
- 13:19without reloading the page with the
- 13:21interactive application during the
- 13:23experiment. Based on the results of the
- 13:34experiment, formulate a conclusion in
- 13:36which you state: first, what movement
- 13:38you studied; second, the value of which
- 13:41quantity you determined. Third, record
- 13:47the results of the experiment that you
- 13:49obtained. Fourth. Compare the average
- 13:54speeds of each experiment and explain
- 13:56why these values do not coincide. And
- 14:00fifth, what factors influenced the
- 14:02accuracy of the experiment. Control
- 14:08tasks. First. The figure shows a graph
- 14:12of the body's speed versus time.
- 14:15Explain the nature of the body's
- 14:17movement. Second. During the movement
- 14:21of a car, speedometer readings were
- 14:23recorded every minute. Is it possible
- 14:26to determine the average speed of the
- 14:28car from these data? Third. One body
- 14:35covers a distance of 120 km at a speed
- 14:38of 40 km/h, and in the opposite
- 14:41direction at a speed of 30 km/h.
- 14:46Another body covers the same distance
- 14:49in both directions with an average
- 14:51speed of 40 km/h. Do both bodies spend
- 14:56the same amount of time on the round
- 14:58trip? Creative task. Conduct the
- 15:07experiment according to the same plan,
- 15:09changing the angle of the trough and
- 15:11switching the ball from plastic to
- 15:13metal or vice versa. Do these factors
- 15:17affect the ball's average speed, and if
- 15:20so, how? Additionally, the laboratory
- 15:28simulator for determining an object's
- 15:30average speed allows you to experiment
- 15:32with different balls: metal, glass,
- 15:35plastic, or wood. The balls are the
- 15:43same size, but because the materials
- 15:45differ, their density and mass are also
- 15:47different. If we look at the ruler, the
- 15:54size of the ball we are experimenting
- 15:56with is slightly smaller than a tennis
- 15:58ball. Therefore, a metal ball of this
- 16:05size will weigh about 1 kg, or to be
- 16:08precise, 882 grams in our case, while
- 16:11the plastic one, for example, is only
- 16:14136. Thus, we can experiment with
- 16:21different balls by launching them from
- 16:23the maximum height, glass, plastic,
- 16:31wooden, and determine what the average
- 16:33speed will be over a given section of
- 16:35the path. Likewise, you can experiment
- 16:40with a specific ball, for example, the
- 16:43same metal one, by changing the angle
- 16:45of inclination for the trough. And
- 16:52again, following the same scenario, by
- 16:54determining the average speed for the
- 17:03very same distance, the same path that
- 17:05the ball travels, but for different
- 17:07angles of the trough relative to the
- 17:09table. Homework assignment: review
- 17:18paragraph 11.
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