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A bomb of mass 9 kg explodes into two pieces of mass 3 kg and 6 kg. The velocity of mass 3 kg is 16 m/s, The kinetic energy of mass 6 kg is ____________. -

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Question

A bomb of mass 9 kg explodes into two pieces of mass 3 kg and 6 kg. The velocity of mass 3 kg is 16 m/s, The kinetic energy of mass 6 kg is ____________.

Options

  • 96 J

  • 192 J

  • 384 J

  • 768 J

MCQ
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Solution

A bomb of mass 9 kg explodes into two pieces of mass 3 kg and 6 kg. The velocity of mass 3 kg is 16 m/s, The kinetic energy of mass 6 kg is 192 J.

Explanation:

From the law of conservation of momentum

`3 xx 16 = 6 xx "v"`

`therefore "v" = 8  "m/s"`

`therefore "K.E" = 1/2 xx 6 xx (8)^2`

` = 192  "J"`

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