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Derive the equation for work

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Derive the equation for work

Posted by Ashirbad Kanta Mohapatra 7 years, 2 months ago

CBSE > Class 09 > Science

1 answers

Poorvi Jain 7 years, 1 month ago

Let the initial velocity = u, Final velocity = v, Uniform acceleration = a, and Displacement = S, then v2 - u2 = 2aS This gives S = v 2 - u 2 2a , but F = ma. Thus using above equations, we can write the workdone by the force, F as W = ma × v 2 - u 2 2a Or W = 1 2 m( v 2 - u 2 ) = 1 2 m v 2 -1 2 mu 2 = Change in kinetic energy Change in kinetic energy = W = 1 2 m( v 2 - u 2 ) = 1 2 m v 2 -1 2 mu 2 It is clear that the work done is equal to the change in the kinetic energy of an object.

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