Q) If the momentum of a body increases by 0.01%, by how much will its Kinetic Energy increase?

A) New momentum = m (1.0001 v)

So new velocity = 1.0001 v

So new kinetic energy = 1/2 * m * V^2

= 1/2 * m * (1.0001 v)^2

= 1/2 * m * 1.00020001 v^2

= 1.0002 x original momentum

So the increase is 0.02 %.

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## Tuesday, September 16, 2008

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