A body of mass 2 kg collides head on with another body of mass 4 kg . If the relative velocities of the bodies before and after collision are 10 ~ms ⁻¹ and 4 . ms ⁻¹ respectively, the loss of kinetic energy of the system due to the collisio

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A body of mass 2 kg collides head on with another body of mass 4 kg . If the relative velocities of the bodies before and after collision are 10 ~ms ⁻¹ and 4 . ms ⁻¹ respectively, the loss of kinetic energy of the system due to the collision is

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Correct answer: B. 56 J

m ₁=2 ~kg , ~m ₂=4 ~kg , u ₁- u ₂=10 ~ms ⁻¹, v ₂- v ₁=4 ~ms ⁻¹e= v₂-v₁ u₁-u₂ = 4 10 = 2 5 Loss of kinetic energy, k = 1 2 ( ~m ₁ ~m ₂ ~m ₁+ m ₂ ) ( u ₁- u ₂ )^2 (1- e ^2 )= 1 2 ( 2 4 2+4 )(10)^2 (1- 4 25 )=56 ~J

A body of mass 2 kg collides head on with another body of mass 4 kg . If the relative velocities of the bodies before and after collision are 10 ~ms ⁻¹ and 4 . ms ⁻¹ respectively, the loss of kinetic energy of the system due to the collision is

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