Object 1 has a mass m1 and a velocity vector v 1 = (2.87 m/s)xhat. Object 2 has a mass m2 and a velocity vector v 2 = (3.06 m/s)yhat. The total momentum of these two objects has a magnitude of 18.6 kg · m/s and points in a direction 66.5° above the positive x-axis. Find m1 and m2.

2 answers

Momentum is a vector:

[email protected] deg= M1*2.87i + M2*3.06j

18.6cos66.5 i + 18.6sin66.5j=...

18.6cos66.5=M1*2.87 solve for M1
18.6 sin66.5=M2*2.87 solve for M2
Bob got it pretty much right

P=total momentum
theta=angle

Pcos(theta)=m1*v1
Psin(theta)=m2*v2

for M2 bob accidentally said v1 for v2