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  • A satellite goes along an elliptical path around earth. The rate of change of arc length ‘a’ swept by the satellite is proportional to:Option: 1</str

A satellite goes along an elliptical path around earth. The rate of change of arc length ‘a’ swept by the satellite is proportional to:

Option: 1

r


Option: 2

\mathrm{r^2}


Option: 3

\mathrm{r^{1 / 2}}


Option: 4

\mathrm{r^{-1}}


Answers (1)

best_answer

\mathrm{\begin{aligned} & \frac{\mathrm{dA}}{\mathrm{dt}}=\frac{1}{2} \mathrm{r}^2 \omega=\text { cons tan } \mathrm{t}=\mathrm{k} \\ \Rightarrow & \frac{1}{2} \mathrm{r}(\mathrm{r} \omega)=\mathrm{k} \\ \Rightarrow & \mathrm{vr}=2 \mathrm{k} \\ \Rightarrow & \mathrm{v} \propto(1 / \mathrm{r}) . \end{aligned}}

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Anam Khan

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