A 3kg object moving at 8 m/s in positive x direction has one dimensional elastic collision with an object of mass M initially at rest. After the collision, object of mass M has velocity of 6 m/s in positive x direction. What is M (in kg)?

Engineering

Physics

Newtons Second Law of Motion

Collision

Momentum and Energy Conservation for System of Particles

Question

A 3kg object moving at 8 m/s in positive x direction has one dimensional elastic collision with an object of mass M initially at rest. After the collision, object of mass M has velocity of 6 m/s in positive x direction. What is M (in kg)?

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3 × 8 = 6 × M + 3v
$e = 1 = \frac{6 - v}{8 - 0}$
⇒    6 – v = 8
       v = – 2
⇒    24 = 6M – 6
       6M = 30
M = 5kg