A shell of mass 20 kg at rest explodes into two fragments whose masses are in the ratio 2 : 3. The smaller fragment moves with a velocity of 6 ms^-1. The kinetic energy of the larger fragment is:

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96 J

216 J

144 J

360 J

answer is A.

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Detailed Solution

Mass of smaller fragment $= \frac{2}{5} \times 20 = 8 kg$
So mass of bigger part =12kg
K.E of bigger part
$= \frac{P^{2}}{2 m} = \frac{(8 \times 6)^{2}}{2 (12)} = 96 J$

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