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  • Show the nature of the following graph for a satellite orbiting the earth. a) KE vs orbital radius R b) PE vs orbital radius R c) TE vs orbital radius R

Show the nature of the following graph for a satellite orbiting the earth.

a) KE vs orbital radius R

b) PE vs orbital radius R

c) TE vs orbital radius R

Answers (1)

Mass of Earth = M_{E}

Radius of orbit of satellite=R

mass of satellite=m

v_{0}=\sqrt{\frac{GM}{R}}

E_{k}=\frac{1}{2}mv_{0}^{2}=\frac{1}{2}m\frac{GM}{R}=\frac{GMm}{2R}

E_{k}\; \alpha \; \frac{1}{R}

E_{p}=-\frac{GMm}{R}

E_{p}\; \alpha \; -\frac{1}{R}

TE=\frac{1}{2}\left ( \frac{GMm}{R} \right )-\frac{GMm}{R}=-\frac{1}{2}\left ( \frac{GMm}{R} \right )

Posted by

infoexpert23

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