Assuming the earth to be a sphere of uniform mass density, the weight of a body at a depth d = R 2 from the surface of earth, if its weight on the surface of earth is 200 N , will be : (Given R = radius of earth)

Step-by-step solution

The acceleration due to gravity with depth is g ' = g 1 - d R The given data is W = 200   N d = R 2 Let the weight be at the given depth, W ' . Hence, the value is m g ' = m g 1 - R 2 R = m g 2 The Weight W ' = W 2 = 200 2 = 100   N