Ekins P7A Lab 4
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Physics 7A Collisions lab, v. 5.0 p-1of8 LAB 4: COLLISIONS Lab Introduction This lab investigates collisions, both elastic and inelastic. By understanding these different kinds of collisions, you can develop better intuitions, which enables you to solve hard problems and to avoid making some common mistakes involving energy and /or momentum conservation. Equipment Your GSI will show how to use the photogate timers, and the plunger on the launch cart. Experimental Procedure Measuring velocity In the following experiments, we want to know the velocities of the carts both before and after the collisions. We will be using photogates, and a data acquisition program to measure times and calculate speeds. The metal tab on the cart will pass through a single photogate interrupting the light
Physics 7A Collisions lab, v. 5.0 p-20f8 beam. The computer will record the time the beam was interrupted and use that together with the known width of the tab (4 cm) to calculate the average speed of the cart. Note: the photogate doesn't care which way the cart passes through, so we are only finding magnitudes not directions. Also keep in mind this is an approximation (Ax/At) to the instantaneous velocity (dx/dt). NOTE : If you haven't already done so, turn on the computer now. The program you will be using can be started by double clicking on the 7A_Collisions.mbl icon. It is set up to record two times and compute two speeds, one for each photogate. When you click on the START button (or simply hit RETURN) the computer will be ready to collect data (though it only collects it when something passes through the photogates.) You should position the photogates to measure the speeds you are looking for. For example, the figure shown would measure the initial speed of the launch cart and the post collision speed of the second cart. Make sure you pay attention to which cart is passing through which photogate, if you don't it is easy to get mixed up as to which time and speed is which. For example, in the first experiment you will do, the carts will stick together after the collision, that means the tab from cart #2 will pass through photogate #2 followed by the tab from cart #1, i.e. you will have triggered photogate #2 TWICE. A Couple of Suggestions ¢ Make sure the two photogates are set up appropriately to measure the speeds you are looking for and allow enough space for the carts to reach "constant" speeds. E.g. for launch velocity make sure the photogate is not in the region where the cart is accelerating. For the post collision speed, make sure the photogates are after the collision is complete. 4 To launch the cart, set the plunger to its middle (medium) notch. Make sure the compressed plunger is touching the wall. Using a metal bar, hit the plunger release button with a quick, firm vertical stroke. Practice this a few times. With two photogates, you will always be able to compare before and after values for a single collision, but if you want to compare one collision to another, it is useful to try and be consistent in your launching style. 4 Place the carts in the positions you want by picking them up and moving them, if you just slide the carts back along the track, you will trigger the photogates again and get more data that may tend to confuse things. The computer program records data in pairs (time for photogate #1 and time for photogate #2), if you do accidentally trigger one of the photogates, you may have to trigger the other by hand to ready the computer before your next run. Or you can also STOP the data collection and START it again. 1. Without the second cart on the track, launch the first cart several times, letting it pass through BOTH photogates. Record the speeds in your notebook. Are you able to launch the carts reasonably consistently? Is the use of average speed a reasonable approximation in this case? Trial 1: v1=0.05312 v2=0.05256 Yes, we can launch the cart consistently. Because Trial 2: v1=0.05657 v2=0.05691 the speeds are so Trial 3: v1=0.05310 v2=0.05308 consistent, yes it would be reasonable to use an average speed.
Physics 7A Collisions lab, v. 5.0 p-3of8 Inelastic collision In this experiment, the launch cart collides with a stationary 2nd cart sitting near the photogates. By orienting the carts so that their Velcro ends collide, you can make them stick together. The stuck-together carts then pass through the photogates, allowing you to calculate the post-collision velocity, v, Don’t do the experiment until making predictions! 2. (Prediction) Using any technique you'd like, solve for o, in terms of v,. Is v half of vy, or three quarters of v, or what? Both carts have the same mass. That m should cancel out of your answer. Assuming energy is conserved, vf is the square root of half of vO because m2 is 2m1 1/2 m1 vOA2 = 1/2 m2 vir2 m2=2m1 1/2 vON2 = vir2 (1/2)M/2 v0 = vf 4 Making sure the Velcro end of the 2nd cart faces the launch cart, do the experiment. Find v, in terms of v,. Is it (approximately) half of v, three quarters of v;, or what? Data, calculations, and results: V1 =0.737 Vi is approximately half of VO V2 =0.368 V2 =0.49932157 V1
Physics 7A Collisions lab, v. 5.0 p-4of8 3. Was kinetic energy conserved during the collision? Show your work. No, kinetic energy was not conserved during the collision. KEO =/= KEf KEO: 1/2m (0.737)"2 = 0.2715845 m1 KEf: 1/2 m (0.368)"2 = 0.066612 m2 0.2715845 =/= 0.135424 4. How can you reconcile energy conservation with the results of this experiment? The energy was lost from the cart-cart system in the form of friction and in sticking together via velcro.
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Related Questions
1. What are the equations for linear momentump and kinetic energy K? Please define the variables.
2. Please define concisely and in your own words the concept of conservation. Describe conservation of momentum and kinetic energy.
3. Briefly describe the difference between elastic and inelastic collisions and give an example of each. Describe these collisions in terms of the kinetic energy and
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4. A moving object collides with and sticks to a stationary object. Do the combined objects move slower, faster or at the same speed as the original moving object?
5. What is the expected value of the ratio of the final and initial momenta, pf/p; ?
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SC
24: Module 4
Assignment Booklet 48
For questions 17 to 21, read each question carefully. Decide which of the choices
BEST answers the question. Place your answer in the blank space given.
17. Two vehicles with the same mass and travelling the same speed in
opposite directions hit head on. What is the total momentum immediately
after the collision?
A. zero
B. double that of each car
C. one half that of each car
D. four tirnes that of each car
Use the following diagram to answer questions 18 and 19.
Car B
Car A
nt Bookl
ence 24
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I Review I
Three objects A, B, and C are moving as shown in the
figure below (Figure 1). Assume that vA =
VB = 9.0 m/s, and vc = 3.2 m/s.
12.0 m/s,
Part C
Find the x-component of the net momentum of the particles if we define the system to consist of B and C.
Express your answer in kilogram meters per second.
ΑΣφ
?
Px =
kg · m/s
Submit
Request Answer
Part D
Figure
1 of 1
Find the y-component of the net momentum of the particles if we define the system to consist of B and C.
Express your answer in kilogram meters per second.
B60°
?
5.0 kg
6.0 kg
10.0 kg
Py =
kg · m/s
Submit
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Gutɔtivn15 a5ktu iIL TIEW Sunjttt5 uu TIOt Coulnt agalist youi qut5tIOIT COUTIC.
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1. What is the definition of momentum?
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3. Write Theoretical and Experimental formulas of “Fractional Energy Loss”.
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Suppose a cart with mass m and low friction wheels is moving to the right with an initial speed V just before it hits a cart with mass M at rest.After collision the first cart rebounds to the left and with the speed of 2/3 v . Assume that each cart receives zero net momentum from external interactions other than their collision interaction.
A.what impulse did the interaction deliver to each cart .express the impulse dimensions as left or right as the magnitude as multiple s of mv
B.use this information to calculate M as multiple of m
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7. Use the following number association:
1 = vector
2= scalar
Identify the following as a vector or scalar quantity, by matching it with the
appropriate number.
Momentum is a
quantity. (a)
Kinetic energy is a
Impulse is a
Time is a
The values for a, b, c, and d are
and
Your answer:
0000
Use the following information to answer the next two questions
An atom of thorium, initially at rest, decays into two particles with one particle having
a mass 24 times greater than the other particle. Immediately after the thorium atom
decays, the larger particle moves to the left with a velocity of 2.70x104 m/s.
8.
The magnitude of the velocity of the particle with less mass, expressed in scientific
notation, is a.bc x 10d m/s. The values of a, b, c and d are.
and
(Record your answer in the numerical-response section below.)
Your answer:
0000
9. The system can be considered
because
EPIC
O
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MacBook Air
quantity. (b)
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quantity. (d)
i
tv
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Smarter Marks ::…
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A. Perfectly inelastic collisions
Figure 1 shows the schematic of the set up for this part of experiment. Before the collision,
cart 2 should be at rest.
motion detector
added mass
cart 1
velcro
track
cart 2
mass of cart 1: 1009.6 g
g
mass of cart 2: 510
measured velocity of cart 1 before collision:
0.642 m/s
measured velocity of the carts after the collision: 0.379 m/s
expected velocity of the carts after the collision, based on conservation of momentum:
(show calculation here)
percent difference between measured and expected final velocities:
measured total kinetic energy before the collision:
measured total kinetic energy after the collision:
0.4265
11.14/0
m
see
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A.
Momentum is the product of mass and velocity. That means object with huge mass is at rest has no momentum at all.
B.
Momentum is only conserved in collisions
C.
Momentum is a vector quanity.
D.
Momentum is always conserved.
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their balls at the same instant.
Part A
Whose ball hits the ground first?
O
The balls will hit the ground simultaneously.
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Carla's.
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mentum - Assessment
1.
A box collides with a ball as shown in the diagram below. After the collision, what will the final momentum of the ball
be?
BEFORE COLLISION
4.
15 kgm/s
Mass of car A
10kg
3 kgm/s
Mass of car B
2.
A student is performing a series of experiments where he hits two toy cars together and records the initial and final
velocities of each. Using the data he collected below, how does the total momentum before the cars hit compare to
the total momentum after?
Before the cars hit each other
Before the cars hit each other
20kg
Velocity of car A
2m/s
cument A - Mass of the two cars
Velocity of car B
1m/s
AFTER COLLISION
5 kgm/s
ment B-Speed of two cars before crash
Blue Toyota Prius (your friend's car)
Black Ford F-150 (victim's car)
Mass of car A
After the cars hit each other
10kg
Blue Toyota Prius (your friend's car)
Black Ford F-150 (victim's car)
_kgm/s
Mass of car B
13 kgm/s because this
Closed isolated System, the
System momentum is con
20kg
Velocity of Car A
After the…
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How would I solve this using the momentum impulse model?
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How do you solve this?
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4. If two objects collide and one is initially at rest, is it possible for both to be at rest after the collision? Is it possible for one to be at rest after the collision? Explain.
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the block, determine their resulting velocity.
-10m/s
= 360m/s
90N
0.60N
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Physics
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Q3/ The figure below shows the position of two balls separating in opposite directions after a
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Momentum after collision
a.
Indicate the direction of the momentum of each ball after collision
b.
Were the two balls both moving or can one be initially at rest before collision?
To answer this, choose sample initial velocities representing both cases
C.
Solve each situation using the formulas for elastic collision
d.
Analyze your answer in (b) by comparing your results in (c)
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- A. Perfectly inelastic collisions Figure 1 shows the schematic of the set up for this part of experiment. Before the collision, cart 2 should be at rest. motion detector added mass cart 1 velcro track cart 2 mass of cart 1: 1009.6 g g mass of cart 2: 510 measured velocity of cart 1 before collision: 0.642 m/s measured velocity of the carts after the collision: 0.379 m/s expected velocity of the carts after the collision, based on conservation of momentum: (show calculation here) percent difference between measured and expected final velocities: measured total kinetic energy before the collision: measured total kinetic energy after the collision: 0.4265 11.14/0 m seearrow_forwardselect the statements which is true for momentum. choose all that apply. A. Momentum is the product of mass and velocity. That means object with huge mass is at rest has no momentum at all. B. Momentum is only conserved in collisions C. Momentum is a vector quanity. D. Momentum is always conserved.arrow_forwardTrue or False? 1. You can change an object's momentum without changing its mass or velocity 2.The coefficient of restitution be negative. 3.When the coefficient of restitution is equals 0, it means that the objects stick together after collision. 4.When the coefficient of restitution is equals 0, it means that the objects stick together after collision.arrow_forward
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