An artificial satellite moving in a circular orbit at a distance $h$ from the centre of the Earth has a…
An artificial satellite moving in a circular orbit at a distance $h$ from the centre of the Earth has a total energy $E_0$. Then, its potential energy is
$-E_0$
$1.5 E_0$
$E_0$
$2 E_0$
Solution
Potential energy, $U=\frac{-G M m}{h}$
Total energy, $E_0=\frac{-G M m}{2 h}$
Hence, potential energy $=2 \times$ Total energy
$
\begin{aligned}
& =2 \times E_0 \quad\left(\because \text { Total energy }=E_0\right) \\
& =2 E_0
\end{aligned}
$