Treat the collision as elastic.  A moving billiard ball hits an identical (except for color) stationary ball.   After the collision, the orange ball always goes off in the positive x-direction.  The final speeds are v and V.  Calculate the angle θ that the green ball goes off in.  (θ should be positive.) V0 = the initial green body's speed = 6 m/s M = the mass of both balls = 6 kg φ = the incoming green ball's angle = 70o It's always a good idea to check your answer with the momentum-conservation and energy-conservation equations.

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