Question 14: Gravitation

Question

A satellite is moving around the earth with speed v in a circular orbit of radius r. If the orbit radius is decreased by 2%, its speed will increase by

Accepted Answer

As, orbital velocity of a satellite, $$v = \sqrt {{{GM} \over r}} $$
Hence, $$v \propto {1 \over {\sqrt r }}$$
% increase in speed = $${1 \over 2}$$ (% decrease in radius)
$$={1 \over 2}(2\% ) = 1\% $$
Thus, the speed of satellite will increase by 1%.

Answer

1%

Answer

2%

Answer

1.5%

Answer

1.414%

Gravitation

A satellite is moving around the earth with speed v in a circular orbit of radius r. If the orbit radius is decreased by 2%, its speed will increase by

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