What is the minimum amount of energy required to move the satellite from this orbit to a location very far away from the earth?

Respuesta :

The potential energy of a satellite in orbit is given by:
[tex]V = -\frac{GmM}{R} [/tex], where G is the gravitational constant, m mass of the satellite, M the mass of the earth and R the radius of the satellite's orbit.

If the satellite is very far away it's potential energy is zero. 

The minimum amount of work necessary to move the satellite to this point is the difference between the energys:
[tex]0 - V = 0 - (- \frac{GmM}{R} ) = \frac{GmM}{R} [/tex]

The minimum amount of energy required to move the satellite from this orbit to a location very far away from the earth is gravitational potential energy.

Gravitational potential energy is the work-done in bringing a unit charge from infinity to a particular point in a field.

This gravitational potential energy or work-done is the minimum energy required to move any object from an infinite position to a particular point in the field.

The gravitational potential is calculated as follows;

[tex]V = - \frac{Gm}{R}[/tex]

where;

  • G is the gravitational constant
  • m is the mass of the object
  • R is the radius of Earth.

Thus, the minimum amount of energy required to move the satellite from this orbit to a location very far away from the earth is gravitational potential energy.

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