Assuming that the gravitational potential energy of an object at infinity is zero, the change in potential energy (final - initial) of an object of mass
, when taken to a height
from the surface of earth (of radius
) is given by, [NEET 2019]
Text Solution
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The gravitational potential energy of an object placed at earth's surface is
… (i)
The negative sign in the above relation indicates that it is the work done in bringing the object from infinity to a distance
.
The gravitational potential energy of object at a height
above the surface of earth is
… (ii)
So, the change in potential energy is

[From Eq. (i) and (ii)]

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