A body of mass m = 4kg moving with a velocity 10 m/s collides elastically head-on with another stationary object for 1.5 sec. The impulsive force versus time graph is shown during the collision of the body and object. Find the mass object in kg.

Engineering

Physics

Newtons Second Law of Motion

Collision

Momentum and Energy Conservation for System of Particles

Question

A body of mass m = 4kg moving with a velocity 10 m/s collides elastically head-on with another stationary object for 1.5 sec. The impulsive force versus time graph is shown during the collision of the body and object. Find the mass object in kg.

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$J = \frac{1}{2} \times 40 \times (0.5 + 1.5) = 40 NS$

V₄ = 40 – 40 = 0 ⇒ velocity is exchanged.
⇒ m₁ = m₂