A body is projected vertically upwards from earth's surface with velocity 2 v _ e , where v _ e is escape velocity from earth's surface. The velocity when body escapes the gravitational pull is

Step-by-step solution

aligned The kinetic energy given to the body = k &= 1 2 ~m (2 Ve )² &= 1 2 (4 mV _ o ² ) aligned The kinetic energy required to escape from the earth's gravitational field = K ^ = 1 2 m V ₀² If its velocity is V after escaping from the earth's gravitational field then its kinetic energy will be aligned 1 2 mV ² &= 1 2 (4 mV _ e ² )- 1 2 mV _ e ² &= 1 2 (3 mV _ e ² ) V ² &=3 ~V _ e ² V &= 3 ~V _ e aligned