1.

The gravitational potential energy of a body at a distance r from the centre of the earth is U.What will be its weight at a distance R from the centre of the earth?a) -Ur/R3.b) -UP/Rc) -Ur/R2d) none of these

Answer»

Gravitational potential energy , U = GMm / r.For calculating the weight at distance 2r from centre of earth , we need to get m*g.But here acceleration due to gravity , g is not equal to 9.8 m/s^-2.Calculation of g can be done using the formula :-g = GM / r^2Therefore, the value of g at a distance of R= GM / R^2Thus , weight of the body at a distance R from the body = mg = GMm / R=- Ur/R



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