The gravitational potential energy of a rocket of mass 200kg at a height of 10^(7)m from the earth's surface is 10^(9)s. The potential energy of the rocket at a height of 26.4xx10^(6)m from the surface of earth is:

The gravitational potential energy of a rocket of mass 200kg at a heig

1.	The gravitational potential energy of a rocket of mass 200kg at a height of 10^(7)m from the earth's surface is 10^(9)s. The potential energy of the rocket at a height of 26.4xx10^(6)m from the surface of earth is:
Answer» `-1.5xx10^(9)J` `-0.5xx10^(9)J` `-2.5xx10^(9)J` `-2XX10^(9)J` SOLUTION :`U=-(GMm)/((R+h))""U'=-(GMm)/((R+h'))` `(U')/(U)=((R+h)/(R+h'))` `=((6.4+10)xx10^(6))/((6.4+26.4)xx10^(6))` `=(16.4)/(32.8)=(1)/(2)` `thereforeU'=-(U)/(2)=(-10^9)/(2)=-0.5xx10^(9)J`