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 changes its velocity from u to v with an acceleration(a) due to the application of a constant force(F) in the direction of motion}%5C%5C%5C%5C %5Ctext{Wok done (W)%3D Force(F) x displacement(s)}%5C %5C %5Crightarrow (1)%5C%5C%5C%5C %5Ctext{We have%2C F%3Dma}%5C%5C%5C%5C %5Ctext{And also from the equation of motion:}%5C%5C%5C%5C %5CRightarrow v^2-u^2%3D2as%5C%5C%5C%5C %5Ctherefore s%3D%5Cfrac{v^2-u^2}{2a}%5C%5C%5C%5C %5Ctext{Substitute above 'F' and 's' values in equation (1) we get}%5C%5C%5C%5C %5CRightarrow W%3Dma%5Ctimes%5Cleft (%5Cfrac{v^2-u^2}{2a} %5Cright )%5C%5C%5C%5C%5C%5C %5CRightarrow W%3D%5Cfrac{m(v^2-u^2)}{2}%5C%5C%5C%5C%5C%5C %5CRightarrow W%3D%5Cfrac12mv^2-%5Cfrac12mu^2%5C%5C%5C%5C %5CRightarrow W%3D %5CDelta%5C K.E%5C %5C %5C [%5Cbecause Kinetic%5C energy%3D%5Cfrac12mv^2]%5C%5C%5C%5C %5Ctherefore %5Ctext{ Change in kinetic energy of the body is equal to the work done by the force})
