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
Given
Mass of the object = m
Velocity of the object = v
So,
Initial Kinetic Energy = ½ m v 2
Since the object finally comes to rest
Final Kinetic Energy = - 0
Hence,
Work Done = Change in Kinetic Energy
= ½ m v 2 - 0
= ½ m v 2
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