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The expression for kinetic energy can be derived using the work-energy theorem. By integrating the equation \(F = ma\) with respect to displacement, we obtain \(W = \frac{1}{2}mv^2 - \frac{1}{2}mu^2\), where \(W\) is the work done, \(m\) is the mass, \(v\) is the final velocity, and \(u\) is the iniRead more

The expression for kinetic energy can be derived using the work-energy theorem. By integrating the equation \(F = ma\) with respect to displacement, we obtain \(W = \frac{1}{2}mv^2 – \frac{1}{2}mu^2\), where \(W\) is the work done, \(m\) is the mass, \(v\) is the final velocity, and \(u\) is the initial velocity. Since work done is equal to the change in kinetic energy, we have \(W = KE – KE_0\), which simplifies to \(KE = \frac{1}{2}mv^2\).

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