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An object of mass, m is moving with a constant velocity, v. How much work should be done on the object in order to bring the object to rest?

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An object of mass, m is moving with a constant velocity, v. How much work should be done on the object in order to bring the object to rest?

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Initial kinetic energy of the object,

\(K.E_i=\frac{1}{2}mv^2\)

When the object comes to rest,

final kinetic energy of the object, \(K.E_f\)

Change in kinetic energy = \(\frac{1}{2}mv^2 - 0\) = \(\frac{1}{2}mv^2\)

Work done on the project = change in its kinetic energy = \(\frac{1}{2}mv^2\)

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