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  • An orbiting satellite will escape ifOption: 1 ts speed is increased by 41%Option: 2 its spe

An orbiting satellite will escape if

Option: 1

ts speed is increased by 41%


Option: 2

its speed in the orbit is increased to \sqrt{1.5}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{\begin{aligned} & \mathrm{V}_{\mathrm{e}}=\sqrt{\frac{2 \mathrm{GM}}{\mathrm{r}}}, \mathrm{V}_0=\sqrt{\frac{\mathrm{GM}}{\mathrm{r}}}, \\ & \frac{\mathrm{v}_{\mathrm{e}}-\mathrm{v}_0}{\mathrm{~V}_{\mathrm{e}}}=\frac{\sqrt{2}-1}{1}=0.41 \text { or } 41 \% \\ & \frac{\mathrm{KE}_2}{\mathrm{KE}_1}=\left(\frac{\mathrm{v}_{\mathrm{e}}}{\mathrm{v}_0}\right)^2=2 \end{aligned}}

= KE is doubled

Hence (A) and (C) are correct.

Posted by

Gautam harsolia

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