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An object of mass, m is moving with a constant velocity, v. Ho... - Science
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
The work done required to stop the object is equal to its kinetic energy.
Expression:
Work Done = Kinetic Energy
W = \frac{1}{2} m v^2
Since the force acts opposite to motion to stop it, the work done on the object is negative of this value, or simply stated, the magnitude of work required is \frac{1}{2} m v^2.
