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 25 m/s. The masses of the two objects are 3.5 and 7.7 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. v_f = v_f =

Explanation / Answer

m1v1+m2v2 = (m1+m2) vf = > vf = m1v1+m2v2 / (m1+m2)

a) vf = 7.7*25/(11.2) = 17.1875 m/s

b) vf = 3.5*25/(11.2) = 7.8125 m/s

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