One object is at rest, and another is moving. The two collide in a one-dimension

Question

One object is at rest, and another is moving. The two collide in a one-dimensional, completely inelastic collision. In other words, they stick together after the collision and move off with a common velocity. Momentum is conserved. The speed of the object that is moving initially is 21 m/s. The masses of the two objects are 3.6 and 7.5 kg. Determine the final speed of the two-object system after the collision for the case (a) when the large-mass object is the one moving initially and the case (b) when the small-mass object is the one moving initially.

Explanation / Answer

A) conservation of momentum..

7.5*21=(7.5+3.6)*v

=> v=14.189 m/s

B) conservation of momentum...

3.6*21=(7.5+3.6)*v

=> v=6.810 m/s

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