Question:

An artificial satellite moving in a circular orbit around the earth has a total (kinetic $+$ potential) energy $E_0$. Its potential energy is

Updated On: Jul 27, 2022
  • $-E_0$
  • $1.5 \,E_0$
  • $2 \,E_0$
  • $E_0$
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The Correct Option is C

Solution and Explanation

Potential energy $=2 \times$ (Total energy) $=2 E_{0}$ Because we know $U=-\frac{G M m}{r}$ $E_{0}=-\frac{G M m}{2 r}$
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Concepts Used:

Gravitational Potential Energy

The work which a body needs to do, against the force of gravity, in order to bring that body into a particular space is called Gravitational potential energy. The stored is the result of the gravitational attraction of the Earth for the object. The GPE of the massive ball of a demolition machine depends on two variables - the mass of the ball and the height to which it is raised. There is a direct relation between GPE and the mass of an object. More massive objects have greater GPE. Also, there is a direct relation between GPE and the height of an object. The higher that an object is elevated, the greater the GPE. The relationship is expressed in the following manner:

PEgrav = mass x g x height

PEgrav = m x g x h

Where,

m is the mass of the object,

h is the height of the object

g is the gravitational field strength (9.8 N/kg on Earth) - sometimes referred to as the acceleration of gravity.