A particle of mass m = 1.1 kg and initial velocity v0 = 13 m/s directly to the right, strikes an initially stationary particle of mass M = 17.5 kg. The collision is inelastic. Afterwards, particle m is observed moving at a speed v = 4.5 m/s, at an angle θ = 59° from its initial direction of motion, and particle M is observed moving at a speed V, as shown in the figure. - Find V, the final speed of particle M, in m/s. (V=?) - What happens to V if m << M? -What happens to V if m >> M? -What happens to V as v → 0?
A particle of mass m = 1.1 kg and initial velocity v0 = 13 m/s directly to the right, strikes an initially stationary particle of mass M = 17.5 kg. The collision is inelastic. Afterwards, particle m is observed moving at a speed v = 4.5 m/s, at an angle θ = 59° from its initial direction of motion, and particle M is observed moving at a speed V, as shown in the figure.
- Find V, the final speed of particle M, in m/s. (V=?)
- 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°.
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