We have two toy rail cars. Car 1 of mass 2 kg is traveling at 6 m/s towards the second rail car of mass 1 kg. Before it is hit, the second rail car is traveling towards the first at 1 m/s. There is a bumper on the second rail car that engages at the moment the cars hit (it connects to the two cars) and does not let go. The bumper acts like a spring of spring constant K = 2 N/m. The second car is 9 meters from a wall at the time of collision. Find the behavior of the system after linkup, where x1(t) and 2(t) are the positions of Car 1 and Car 2 t seconds after collision. x1(t) x2(t) = Will the second car hit the wall, or will it be moving away from the wall as time goes on? Hit the wall ○ Moving away from the wall At what speed would the first car have to be traveling for the system to essentially stay in place after linkup? m/s

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We have two toy rail cars. Car 1 of mass 2 kg is traveling at 6 m/s towards the second rail car of mass 1 kg.
Before it is hit, the second rail car is traveling towards the first at 1 m/s. There is a bumper on the second
rail car that engages at the moment the cars hit (it connects to the two cars) and does not let go. The
bumper acts like a spring of spring constant K = 2 N/m. The second car is 9 meters from a wall at the time
of collision.
Find the behavior of the system after linkup, where x1(t) and 2(t) are the positions of Car 1 and Car 2 t
seconds after collision.
x1(t)
x2(t)
=
Will the second car hit the wall, or will it be moving away from the wall as time goes on?
Hit the wall
○ Moving away from the wall
At what speed would the first car have to be traveling for the system to essentially stay in
place after linkup?
m/s
Transcribed Image Text:We have two toy rail cars. Car 1 of mass 2 kg is traveling at 6 m/s towards the second rail car of mass 1 kg. Before it is hit, the second rail car is traveling towards the first at 1 m/s. There is a bumper on the second rail car that engages at the moment the cars hit (it connects to the two cars) and does not let go. The bumper acts like a spring of spring constant K = 2 N/m. The second car is 9 meters from a wall at the time of collision. Find the behavior of the system after linkup, where x1(t) and 2(t) are the positions of Car 1 and Car 2 t seconds after collision. x1(t) x2(t) = Will the second car hit the wall, or will it be moving away from the wall as time goes on? Hit the wall ○ Moving away from the wall At what speed would the first car have to be traveling for the system to essentially stay in place after linkup? m/s
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