one object is at rest, and another is moving, The two collide in a one dimention

Question

one object is at rest, and another is moving, The two collide in a one dimentional, completely inactic collision in other words stick together after the collision and move of with a common velocity, movementum is conserved. The speed of the object that is moving initially in 24 m/s. The masses of the two objects are 2.6 and 7.1 kg. Determine the final speed of the two objects system ofter the collision for the case (a) when the large masss object is in moving initially and the case (b) when the small mass object is the one moving initially.

Explanation / Answer

Masses m = 2.6 kg            M = 7.1 kg (a). Initial speeds u = 0                          U = 24 m / s From law of conservation of momentum , mu + MU = ( m+ M) v From this speed of the objects after collison v = [ mu +MU ] / ( m+ M)                                                                       = 17.56 m / s (b). Initial speeds u = 24 m / s                          U = 0 m / s From law of conservation of momentum , mu + MU = ( m+ M) v From this speed of the objects after collison v = [ mu +MU ] / ( m+ M)                                                                       = 6.432 m / s                          U = 0 m / s From law of conservation of momentum , mu + MU = ( m+ M) v From this speed of the objects after collison v = [ mu +MU ] / ( m+ M)                                                                       = 6.432 m / s

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