A particle of mass $m$ is moving in a circular orbit of radius $R$ under the influence of a central force given by $F(r) = \frac{k}{r^2}$, where $k$ is a cons ant. If the particle's speed is $v$, what is the total energy of the particle?

Question

A particle of mass $m$ is moving in a circular orbit of radius $R$ under the influence of a central force given by $F(r) = \frac{k}{r^2}$, where $k$ is a cons	ant. If the particle's speed is $v$, what is the total energy of the particle?

Accepted Answer

$\frac{1}{2}mv^2 - \frac{k}{R}$

Post Utme Christopher University 2019 Physics Question 36

A particle of mass $m$ is moving in a circular orbit of radius $R$ under the influence of a central force given by $F(r) = \frac{k}{r^2}$, where $k$ is a cons\tant. If the particle's speed is $v$, what is the total energy of the particle?

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