Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa

A satellite is orbiting around the earth with speed V. To make the satellite escape, what is minimum percentage increases in its speed?( in %)

Option: 1

41.4

 


Option: 2

241.4

 


Option: 3

141.1

 


Option: 4

82.8


Answers (1)

best_answer

As we learn

Relation of escape velocity and orbital velocity -

V=\sqrt{\frac{GM}{R}}

V_{e}=\sqrt{\frac{2GM}{R}}

V\rightarrow Orbital velocity

V_{e}\rightarrow Escape velocity

- wherein

v=\frac{V_{e}}{\sqrt{2}}

V_{escape}= \sqrt{2}V_{orbital}

 

 V_{e} = \sqrt{2}V_{0}

%increases in speed = \frac{V_{e} -V_{0}}{V_{0}}*100

                                = \frac{\sqrt{2}V_{0} -V_{0}}{V_{0}}*100 = \left ( \sqrt{2}-1 \right )*100

                                = 41.4%%

 

Posted by

qnaprep

View full answer

Similar Questions

Latest Question