How much work is required to move a 1550 kg satellite from a circular orbit with an altitude of 105 km above the surface of Mars to a circular orbit with an altitude of 905 km above the surface of the Mars?

How much work is required to move a 1550 kg satellite from a circular orbit with an altitude of 105 km above the surface of Mars to a circular orbit with an altitude of 905 km above the surface of the Mars?

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter7: Gravitation

Section: Chapter Questions

Problem 2STP

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Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.

Question

final orbit
How much work is required
initial orbit
to move a 1550 kg satellite
from a circular orbit with an
altitude of 105 km above the
surface of Mars to a circular
orbit with an altitude of 905
km above the surface of the
Mars?
RMars = 3390 km
MMars = 6.39 x 1023 kg

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