A body is projected from earth's with thrice the escape velocity from the surface of the earth. What will be its velocity when it will escape the gravitational pull?

Step-by-step solution

Energy required to escape the earth's gravitational field is 1 2 mV _e^2 Energy given to the body is = 1 2 ~m (3 ~V _ e )^2= 9 2 mV _ e ^2 If V is velocity of the body when it has escaped from earth's gravitational field then aligned & 1 2 mV ^2= 9 2 mV _ e ^2- 1 2 mV _ e ^2 & 1 2 mV ^2=4 mV _ e ^2 & V ^2=8 ~V _ e ^2 & ~V =2 2 ~V _ e aligned