Question

A 4.00 kg ball traveling North with a momentum of 11.2 kg ∙ms collides with a 6.0 kg ball traveling West with a momentum of 18 kg ∙ms. The two balls
stick together and head off as one. What is the momentum of the combined
masses? (21.2 kg ∙ms at 32° N of W) What is their velocity? (2.12 m/s @ 32° N of W) I have the answers I just need to know how to do it.

Answer 1

Explanation:

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.