A classical mechanics problem by Archit Tripathi

Classical Mechanics Level 4

Two bodies of masses 3 k g 3 kg and 2 k g 2 kg collide head on. Their relative velocities before and after collision are 15 m / s 15 m/s and 5 m / s 5 m/s respectively. Find the loss in kinetic energy of the system.


The answer is 120.

Archit Tripathi by Archit Tripathi , 23, India

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1 solution

Archit Tripathi
Dec 5, 2016

One of the simplest way to solve is, to use concept of reduced mass.

Loss in K.E of system = m ( v 2 − u 2 ) 2 \frac{m(v^{2} - u^{2})}{2}

where m m is the reduced mass. Pluggin in the values, we get answer as 120 J \boxed{120 J} .

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