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 26 m/s. The masses of the two objects are 3.3 and 8.7 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)8.7*26=(3.3+8.7)*v' so v'=18.85 b)3.3*26=(3.3+8.7)*v so v=7.15

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