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 1% its speed will?

Answer 1

hello friend...!!

• According to the question it is given that,
the radius is decreased by 1% , we should calculate what happens to the speed.

• we know that, speed is
$v \: \: = \sqrt{ \frac{gm}{r} }$


therefore,

ΔV / V = 1/2 ( ΔR/ R)

in the question it is given that,

ΔR / R = 1%

therefore the change in the speed is,

ΔV / V = 1/2 ( 1 % )

implies,

ΔV / V = 0.5%

thus the change in the speed is 0.5%

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Hope it is useful...!!

Answer 2

The answer is provided in the attachment.
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