Two cars collide as shown. Car s1 is initially moving along the x-axis at speed v1 and car 2 is stationary. The final speed of car one is 10 m/s and goes 30 degrees north of x-axis. The mass of car 2 is 2000kg and goes 6 m/s at 44 degrees south of x-axis. What is the mass and initial velocity of car 1.
P = mv
The Attempt at a Solution
Pxi = m1v1. Pxf = m1v1*cos(33) + m2v2cos(44), Pxf = m1v1*cos(33) + 12000*cos(44)
My next thought was to set the two equations equal to each other because of conservation of momentum, but that won't work because there are two unknowns. Is the Pxf equation set up correctly, and if so, is there a way in which I can eliminate a variable?