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Question: A shell of mass 20 kg at rest explodes into two fragments whose masses are in the ratio 2 : 3. The s...

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 of the larger fragment is :

A

96 J

B

216 J

C

144 J

D

360 J

Answer

96 J

Explanation

Solution

\ m1v1 = m2v2 (m1 = 3kg & m2 = 12kg)

\ 8 × 6 = 12 × v2 Ž v2 = 4m/s

\ K2 = 12\frac { 1 } { 2 }(12)(4)2 = 96 J