one object is at rest and another is moving. The two collide in a one dimensiona

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 conserve.d The speed of the object that is moving initially is 25 m/s. The masses of the two objects are 3.0and 8.0 kg. Determine the final speed of the two-object system after the collision fro the case when the large-mass object is the one moving initially and the case when the small-mass object is the one moving initially.

Explanation / Answer

Case1 : Let the mass of the two objects be m1 and m2 where m1 = 3.0 kg and m2 = 8.0 kg Let mass m1 has speed u1 = 25 m/s Let mass m2 has speed u2 = 0 m/s m1 * u1 + m2 * u2 = (m1 + m2) * V where V is common velocity after collision or V = (m1 * u1 + m2 * u2/(m1 + m2)) Case 2: V1 = (m1 * u1 + m2 * u2/(m1 + m2)) Here,u1 = 0 and u2 = 25 m/s

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