A body is projected vertically upwards from the surface of earth with a velocity 'v' to reach a height of 10R, where R is the radius of the earth, then v is

Step-by-step solution

By conservation of mechanical energy: K_i + U_i = K_f + U_f 1 2 mv^2 - GMm R = 0 - GMm R + 10R 1 2 mv^2 = GMm R - GMm 11R 1 2 v^2 = 10GM 11R v^2 = 20GM 11R Using g = GM R^2 , we get GM = gR^2 v^2 = 20gR^2 11R = 20gR 11 v = 20gR 11 Answer: 20gR 11