A blue car with mass mc = 415 kg is moving east with a speed of vc = 20 m/s and

Question

A blue car with mass mc = 415 kg is moving east with a speed of vc = 20 m/s and collides with a purple truck with mass mt = 1287 kg that is moving south with a speed of vt = 11 m/s . The two collide and lock together after the collision.

1)What is the magnitude of the initial momentum of the car? in kg-m/s

My attempt: I found the momentum of each car by using the formula m*v. Momentum of car = Mc=8300. Momentum of truck = Mt=14157. Using vector addition after the collision, shouldnt my answer be squareroot(Mc^2+Mt^2)? My answer came to 16410.69, which is Ptotal. Shouldnt the momentum be conserved here? So, Pinitial should eqaual Ptotal. My answer is not being accepted, what am I doing wrong?

Explanation / Answer

You dint take that velocity and momentum are vectors in your solution mc = 415 kg vc = 20 i m/s pc = mc vc = 8300i kgm/s mt = 1287 kg vt = -11 j m/s Pt=mtvt = -14157 j Kgm/s final velocity = vf pc +pt =(mc+mt)vf vf= (8300i -14157 j)/(415+1287) = 4.87 i - 8.31 j m/s

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