﻿ What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 2R? from Physics Gravitation Class 11 Manipur Board

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What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 2R?

• 5GmM/6R

• 2GmM/3R

• GmM/2R

• GmM/3R

A.

5GmM/6R

From conservation of energy,
Total energy at the planet = Total energy at the altitude

In its orbit the necessary centripetal force provided by gravitational force.
∴

From conservation of energy,
Total energy at the planet = Total energy at the altitude

In its orbit the necessary centripetal force provided by gravitational force.
∴

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