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CBSE Class 11-science Answered

Explain that gravitational force is a conservative force.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

If a body of mass m is released from the top of a smooth inclined plane of height h, it gains speed at the bottom given by

 
V2 - 02= 2gh or 
Kinetic energy acquired by the body at the bottom of inclined plane is
 
Clearly the work done by the gravitational force does not depend on the angle of inclination or path of the falling body. It depends on the initial and final position of the body. This proves that gravitational force is a conservative force.
Answered by | 04 Jun, 2014, 03:23: PM

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