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?
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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The object is in motion, so its energy = kinetic energy = 1 /2 mv2
The kinetic energy of the object, when it comes to rest = 0.
Work done on object = change in kinetic energy
= 1 /2 mv2 – 0
= 1 /2 mv2
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The work done on the object to bring the object to rest
= change in kinetic energy
= Final kinetic energy – Initial Kinetic energy
Here final kinetic energy is zero because the object is brought to rest.
= 0 - \(\frac{1}{2}\)mv2
= -\(\frac{1}{2}\)mv2
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