Question

A particle of mass m = 1.3 kg and initial velocity v0 = 12.5 m/s, strikes an initially stationary particle of mass M = 10.5 kg. The collision is inelastic. Afterwards, particle m is observed moving at a speed v = 9.5 m/s, at an angle θ = 62° from its initial direction of motion, and particle M is observed moving at a speed V

Find V, the final speed of particle M, in m/s.

What happens to V if m << M?

What happens to V if m >> M?

What happens to V as v → 0?

Write an expression for V as v₀ → 0. You may assume terms like v₀/v vanish.

Write an expression for V if θ = 0. Assume the balls do not stick together.

Write an expression for V if θ = 180°.

Answer 1