Question 86: Gravitation

Question

Correct formula for height of a satellite from earths surface is :

Accepted Answer

$$\begin{aligned}
& T=2 \pi \sqrt{\frac{r^3}{G M}} \
& T^2=\frac{4 \pi^2}{G M}(R+h)^3 \
& h=\left(\frac{G M T^2}{4 \pi^2}ight)^{\frac{1}{3}}-R \
& =\left(\frac{G M \cdot R}{R^2} \cdot \frac{T^2}{4 \pi^2}ight)^{\frac{1}{3}}-R \
& =\left(\frac{T^2 R^2 g}{4 \pi^2}ight)^{\frac{1}{3}}-R
\end{aligned}$$

Answer

$$\left(\frac{T^2 R^2 g}{4 \pi^2}\right)^{1 / 3}-R$$

Answer

$$\left(\frac{T^2 R^2 g}{4 \pi}\right)^{1 / 2}-R$$

Answer

$$\left(\frac{T^2 R^2 g}{4 \pi^2}\right)^{-1 / 3}+R$$

Answer

$$\left(\frac{T^2 R^2}{4 \pi^2 g}\right)^{1 / 3}-R$$

Gravitation

Correct formula for height of a satellite from earths surface is :

Choose the correct answer: