# A toy car having mass m = 1.25 kg collides inelastically with a toy train of mass M = 3.65 kg. Before the collision, the toy train is moving in the positive x-direction with a velocity of Vi = 2.20 m/s and the toy car is also moving in the positive x-direction with a velocity of vi = 4.50 m/s. Immediately after the collision, the toy car is observed moving in the positive x-direction with a velocity of 1.80 m/s.(a) Determine Vf, the final velocity of the toy train.(b) Determine the change ΔKE in the total kinetic energy. Assume friction and the rotation of the wheels are not important so that they do not affect ΔKE.

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A toy car having mass m = 1.25 kg collides inelastically with a toy train of mass M = 3.65 kg. Before the collision, the toy train is moving in the positive x-direction with a velocity of Vi = 2.20 m/s and the toy car is also moving in the positive x-direction with a velocity of vi = 4.50 m/s. Immediately after the collision, the toy car is observed moving in the positive x-direction with a velocity of 1.80 m/s.

(a) Determine Vf, the final velocity of the toy train.

(b) Determine the change ΔKE in the total kinetic energy. Assume friction and the rotation of the wheels are not important so that they do not affect ΔKE.

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Step 1

(a)

From the conservation of momentum of the car and train system,

Substitute the values,

Step 2
Step 3

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