Q7. To project a body of mass $m$ from earth's surface to infinity, the required kinetic energy is (assume, the radius of earth is $R _ { E } , g =$ acceleration due to gravity on the surface of earth):
(1) $2 m g R _ { E }$
(2) $4 m g R _ { E }$
(3) $m g R _ { E }$
(4) $1 / 2 m g R _ { E }$