Question 170: Gravitation

Question

A satellite is launched into a circular orbit of radius R around earth, while a second satellite is launched into a circular orbit of radius 1.02 R. The percentage difference in the time periods of the two satellites is :

Accepted Answer

$${T^2} \propto {R^3}$$
$$T = k{R^{3/2}}$$
$${{dT} \over T} = {3 \over 2}{{dR} \over R}$$
$$ = {3 \over 2} 	imes 0.02 = 0.03$$
% Change = 3%

Answer

1.5

Answer

2.0

Answer

0.7

Answer

3.0

Gravitation

A satellite is launched into a circular orbit of radius R around earth, while a second satellite is launched into a circular orbit of radius 1.02 R. The percentage difference in the time periods of the two satellites is :

Choose the correct answer: