Q.

A shell of mass 20kg at rest explodes into two fragments whose masses are in the ratio 2: 3. The smaller fragment moves with a velocity of 6 m/s. The kinetic energy (in joule) of the larger fragment is

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answer is 96.

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Detailed Solution

m1+m2=20kg and m1m2=23⇒m1=8kg ; m2=12kgConservation of momentum, M v=m1v1+m2v2⇒0=8(6)+12(v2)⇒v2=−4 m/s So the kinetic energy of the larger fragment is ⇒K.E=12m2v22=12(12)(−4)2=6(16)=96J
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A shell of mass 20kg at rest explodes into two fragments whose masses are in the ratio 2: 3. The smaller fragment moves with a velocity of 6 m/s. The kinetic energy (in joule) of the larger fragment is