Chapter 9, Problem 8PCE

Object 1 has a mass m₁ and a velocity $\stackrel{\to }{v_1}=(2.80\text{m/s})\hat{\text{x}}$. Object 2 has a mass m₂ and a velocity $\stackrel{\to }{v_2}=(3.10\text{m/s})\hat{\text{y}}$. The total momentum of these two objects has a magnitude of 17.6 and points in a direction 66.5° above the positive x axis Find m₁ and m₂.