A shell of mass 20 k g 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 - 1 . The kinetic of the larger fragment is

Question

A shell of mass 20 k g 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 - 1 . The kinetic of the larger fragment is, 96 J, 216 J, 144 J, 360 J

MARKS App · Accepted Answer

From conservation of momentum, ∴ m 1 v 1 = m 2 v 2 ( m 1 = 3 k g & m 2 = 12 k g ) ∴ 8 × 6 = 12 × v 2 ⇒ v 2 = 4 m / s ∴ K 2 = 1 2 12 4 2 = 96 J

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