Elastic Collision with Moving Box · CAP 2023 #5

Physics · mechanics

Problem

A very heavy box of mass M is being lifted upward by a crane at a constant velocity u. A ball of mass m≪Mm \ll M is thrown at the box with velocity v at angle α. If the ball hits the box at some time t, what are the x and y components of the velocity of the ball (vx(t),vy(t)v_x(t), v_y(t)) after the collision? Assume a perfectly elastic collision. a) (−vcos⁡α,∣vsin⁡α−gt∣-v\cos\alpha, |v\sin\alpha - gt|) b) (−vcos⁡α,−∣vsin⁡α−gt∣-v\cos\alpha, -|v\sin\alpha - gt|) c) (−vcos⁡α,2u+∣vsin⁡α−gt∣-v\cos\alpha, 2u + |v\sin\alpha - gt|) d) (−vcos⁡α,2u−∣vsin⁡α−gt∣-v\cos\alpha, 2u - |v\sin\alpha - gt|) e) Either a or b. f) Either c or d.

Browse the problem library