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  • An orbiting satellite will escape if  Option: 1 its speed is increased by 41%  

An orbiting satellite will escape if
 

Option: 1

its speed is increased by 41%
 


Option: 2

its speed in the orbit is increased to \sqrt1.5 times its initial value
 


Option: 3

its kinetic energy is doubled
 


Option: 4

if it stops moving in the orbit


Answers (1)

best_answer

\mathrm{ v_e=\sqrt{\frac{2 G m}{r}}, \quad v_0=\sqrt{\frac{G m}{r}}, }

\mathrm{ \frac{v_e-v_0}{v_e}=\frac{v_2-1}{1}=0.41 \text { or } 41 \% }

\mathrm{ \frac{K E_2}{K E_1}=\left(\frac{\mathrm{v}_{\mathrm{e}}}{\mathrm{V}_0}\right)^2=2 }

\mathrm{ \Rightarrow \mathrm{KE} } is doubled

Hence option 3 is correct.

Posted by

rishi.raj

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