A toy car having mass m = 1.50 kg collides inelastically with a toy train of mass M = 3.50 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 = 4.65 m/s. Immediately after the collision, the toy car is observed moving in the positive x-direction with a velocity of 2.20 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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Asked Jan 14, 2020
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A toy car having mass m = 1.50 kg collides inelastically with a toy train of mass M = 3.50 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 = 4.65 m/s. Immediately after the collision, the toy car is observed moving in the positive x-direction with a velocity of 2.20 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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Expert Answer

Step 1

Given:

Mass of a toy car (m) = 1.5 kg

Mass of a toy train (M) = 3.5 kg

Velocity of toy train in positive x direction (Vi) = 2.20 m/s

Velocity of toy car in positive x direction (vi) = 4.65 m/s

Velocity of toy car in positive x direction after collision (vf) = 2.20 m/s

Step 2

Part (a)

The mass will be conserve before and after collision,

Physics homework question answer, step 2, image 1
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Step 3

Part (b)

The change in kinetic energy will be the difference between kinetic ...

Physics homework question answer, step 3, image 1
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