One object is at rest, and another is moving. The 2 collide in a one-dimensional

Question

One object is at rest, and another is moving. The 2 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 2 objects are 2.7 and 8.1 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

Total momuntum is conserved m1u1 = (m1+m2)V V = m1u1/ (m1+m2) (a) V = 8.1*29/(8.1+3.2) = 20.8 (b) V = 3.2*29/(8.1+3.2) = 8.21

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