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Q42 P

Physics For Scientists & Engineers
Found in: Page 413

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Short Answer

Derive an expression for the work required to move an Earth satellite of mass m from a circular orbit of radius to one of radius

The derivation will be ΔE=GMEm12RE

See the step by step solution

Step by Step Solution

Step 1: Given

Mass of the satellite= mcircular orbit radius from 2RE to 3RE

Step 2: Concept

Earth is a planet that revolves around the sun, and the moon is the natural satellite of Earth. Apart from this, the artificial satellite of the earth can be set in orbit around the earth.

For placing any kind of satellite in the earth’s orbit, the earth satellite energy requirement is as follows:


Step 3: Derive an expression

When the circular orbit radius changes from the radius r=2RE to r=3RE required to work, W will be required to follow.



W = workdoneΔE=EnergyME=mass of the earthG=gravitational constantrf=final radiusri=initial radiusm=mass of the satellite

Hence, the derivation will be ΔE=GMEm12RE .

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