Chapter - 4 Work and Energy

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Q
Work and Energy

Question:

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?

Answer:

When a body is in motion it possesses kinetic energy. The kinetic energy of an object of mass, m moving with a velocity, v is given by the expression,

K.E. = frac{1}{2}mv^2

Therefore, a negative work equal to the amount of kinetic energy is required to be done on the object to bring the object to rest.

W = -frac{1}{2}mv^2


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