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 24 m/s. The masses of the two objects are 3.6 and 7.6 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) when the large-mass object is the one moving initially :
MV =(M+m)v => v= MV/(M+m) =7.6*24/(7.6+3.6) = 16.29 m/s

b)when the small-mass object is the one moving initially.:
mV=(M+m)v' => v' =mV/(M+m) =3.6*24/(7.6+3.6) = 7.714 m/s

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