NEET2016PhysicsGravitationActual
A satellite of mass m is orbiting the earth (of radius R ) at a height h from its surface. The total energy of the satellite in terms of g o , the value of acceleration due to gravity at the earth's surface, is
Options
- Am g 0 R 2 2 R + h
- B- m g 0 R 2 2 R + h
- C2 m g 0 R 2 R + h
- D- 2 m g 0 R 2 R + h
Correct answer
B. - m g 0 R 2 2 R + h
Step-by-step solution
The total energy of a satellite in the orbit is E = - G M m 2 r r = R + h g 0 = G M R 2 ⇒ E = - m g 0 R 2 2 R + h