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 27 m/s. The masses of the two objects are 3.1 and 7.4 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

masses of the two objects are 3.1 and 7.4 kg.

(a) when the large-mass object is the one moving initially.

Momentum conservation

27*(7.4) = V*(3.1 + 7.4) = 10.5*V

or       V = 19.03 m/s

(b) when the small-mass object is the one moving initially.

27*(3.1) = V*(3.1 + 7.4) = 10.5*V

or     V   = 7.97 m/s

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