As shown in the figure below, cars #1 and #2 are travelling across a horizontal surface. The cars are equipped with a coupling arrangement similar to the one on railroad cars. Car #1 overtakes car #2 and they have a totally inelastic collision and become coupled together. You know the mass of each car; m, = 14.5 kg and m, = 45.0 kg. In addition, you are provided with the following graph, which shows the momentum of car #1 before, during, and after the collision. Determine the velocity of car #2 before the collision. You may ignore friction and treat the wheels of the cars as massless. 922 You have been given the mass of car #1 and the graph provides you with the momentum of the car after the collision. See if you can use this information to determine the velocity of ca =1 after the collision. Knowing the velocity of car =1 after the collision and also knowing that the two cars are coupled together, see if you can determine the velocity and hence momentum of car #2 after the collision. Since momentum is conserved, how does the change in momentum of car #2 during the collision compare to the change in momentum of car = (obtained from the graph)? Knowing how the initial, final, and change in a physical quantity are related, see if you can use this relationship to determine the initial momentum and then initial velocity of car #2. As a check on your work, see if your answers support the knowledge that momentum is conserved. m/s p (kg m/s) 100 40 t (s)

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As shown in the figure below, cars #1 and #2 are travelling across a horizontal surface. The cars are equipped with a coupling arrangement similar to the one on railroad cars. Car #1
overtakes car #2 and they have a totally inelastic collision and become coupled together. You know the mass of each car; m, = 14.5 kg and m, = 45.0 kg. In addition, you are provided
with the following graph, which shows the momentum of car #1 before, during, and after the collision. Determine the velocity of car #2 before the collision. You may ignore friction and
treat the wheels of the cars as massless.
922
You have been given the mass of car #1 and the graph provides you with the momentum of the car after the collision. See if you can use this information to determine the velocity of car
#1 after the collision. Knowing the velocity of car #1 after the collision and also knowing that the two cars are coupled together, see if you can determine the velocity and hence
momentum of car #2 after the collision. Since momentum is conserved, how does the change in momentum of car #2 during the collision compare to the change in momentum of car #1
(obtained from the graph)? Knowing how the initial, final, and change in a physical quantity are related, see if you can use this relationship to determine the initial momentum and then
initial velocity of car #2. As a check on your work, see if your answers support the knowledge that momentum is conserved. m/s
p (kg m/s)
100
40
t (s)
Transcribed Image Text:As shown in the figure below, cars #1 and #2 are travelling across a horizontal surface. The cars are equipped with a coupling arrangement similar to the one on railroad cars. Car #1 overtakes car #2 and they have a totally inelastic collision and become coupled together. You know the mass of each car; m, = 14.5 kg and m, = 45.0 kg. In addition, you are provided with the following graph, which shows the momentum of car #1 before, during, and after the collision. Determine the velocity of car #2 before the collision. You may ignore friction and treat the wheels of the cars as massless. 922 You have been given the mass of car #1 and the graph provides you with the momentum of the car after the collision. See if you can use this information to determine the velocity of car #1 after the collision. Knowing the velocity of car #1 after the collision and also knowing that the two cars are coupled together, see if you can determine the velocity and hence momentum of car #2 after the collision. Since momentum is conserved, how does the change in momentum of car #2 during the collision compare to the change in momentum of car #1 (obtained from the graph)? Knowing how the initial, final, and change in a physical quantity are related, see if you can use this relationship to determine the initial momentum and then initial velocity of car #2. As a check on your work, see if your answers support the knowledge that momentum is conserved. m/s p (kg m/s) 100 40 t (s)
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