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 21 m/s. The masses of the two objects are 2.1 and 8.6 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. (a) v_f = ________ (b) v_f = __________

Explanation / Answer

a) 8.6 (21) = (8.6 +2.1) V ( conserving mpmentum)

V = 180.6/ 10.7= 16.878 m/s

b) 2.1 (21) = (8.6 +2.1) V

V= 44.1/10.7= 4.121 m/s

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