Rankers Physics

Gravitational Potential Energy: Practice Problem & Solution

The satellite of mass $m$ is orbiting around the earth in a circular orbit with a velocity $v$. What will be its total energy? (1991)
$\left(\frac{3}{4}\right)mv^2$
$\left(\frac{1}{2}\right)mv^2$
$mv^2$
$-\left(\frac{1}{2}\right)mv^2$

Solution Explained:

To solve this problem, we apply the core principles of Gravitational Potential Energy. Understanding the underlying formula is key to arriving at the correct answer below:

Kinetic energy of the satellite is $K = \frac{1}{2}mv^2$ and potential energy is $U = -mv^2$. Total energy $E = K + U = \frac{1}{2}mv^2 - mv^2 = -\frac{1}{2}mv^2$.

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