Question

A 4.00 kg ball traveling North with a momentum of 11.2 kg.m/s collides with a 6.0 kg ball traveling
West with a momentum of 18 kg.m/s. The two balls stick together and head off as one. What is the
momentum of the combined masses? What is the velocity of the combined masses?

Answer 1

M1*V1 + M2*V2 = M1*V + M2*V
11.2i - 18 = 4*V + 5*V = 9V
V = -2 + 1.24i = 2.36m/s[31.9o] N. of
W. = 2.36m/s[148.1o] CCW

Momentum = M1*V + M2*V =
4*2.36[31.9] + 6*2.36[31.9] =
9.44[31.9] + 14.2[31.9o]=23.6m/s[31.9o] N. of W.