4. How work done is related to gravitational potential and kinetic energies? Also discuss the total energy of a system when forces other than gravitational force do work.

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4. How work done is related to gravitational potential and kinetic energies? Also discuss the total energy of a system when forces other than gravitational force do work.
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How work done is related to gravitational potential and kinetic energies?

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Let us consider we are lifting one object of mass "m" with a constant velocity "v". At height "h" we have the gravitational potential energy of the particle is, V=mgh

Where g is the gravitational acceleration at that place.

We have the kinetic energy of the object is T=12mv2  

Hence the amount of work done to move the object to a height h is W=T+V

Hence, W=mgh+12mv2 

 

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