a 1000 kg space craft at 500 m/s is on a collision course with a 400 kg satellite travelling at 700 m/s . Their paths are converging at a 45 degree angle . After the collision they remain locked together. What is the final speed of both satellites? What angle is this at

1 answer

Assume the heavier satellite is traveling in the +x direction. Conserve momentum, so the final velocity (xi+yj) is the solution to

1000*500i + 400*700(.707i+.707j) = (1000+700)(xi+yj)

That will give the x- and y-components of the final velocity, which you can then express as magnitude and direction.