Questions
If g is acceleration due to gravity on the Earth's surface, the gain in the potential energy of an object of mass m raised from the surface of Earth to a height equal to the radius R of the earth is
detailed solution
Correct option is A
At a distance x from the centre of earth, the gravitational forceF=GMmx2dW=Fdx=GMmx2dx We get W=∫RR+h GMmx2dx=GMm1R−1R+h =gR2m1R−1R+hTherefore, the gain in potential energy isgR2m1R−12R=mgR2Talk to our academic expert!
Similar Questions
A shell of mass M and radius R has a point mass m placed at a distance r from its centre. The gravitational potential energy U (r) vs r will be
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