First slide

Motion of planets and satellites

Question

The earth moves around the Sun in an elliptical orbit as shown in the figure. The ratio OA/OB = x. The ratio of the speed of the earth at B to that at A is nearly

Easy

A

$\sqrt{x}$
B

$x$
C

$x \sqrt{x}$
D

$x^{2}$

Solution

Applying conservation of angular momentum at position A and B
${mv}_{A} \times OA = {mv}_{B} \times OB$
$Hence, \frac{v_{B}}{v_{A}} = \frac{OA}{OB} = x$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App