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

An orbiting satellite will escape if

Option: 1

its 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}}}, \\ & \Rightarrow \frac{\mathrm{v}_{\mathrm{e}}-\mathrm{v}_0}{\mathrm{v}_0}=\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, satellite will escape.

Posted by

sudhir kumar

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