A particle of mass $m$ is moving in a circular orbit of radius $R$ under the influence of a central force. If the force is given by $F(r) = \frac{k}{r^2}$, where $k$ is a cons ant, find the angular momentum of the particle in terms of $m$, $R$, and $k$.

Question

A particle of mass $m$ is moving in a circular orbit of radius $R$ under the influence of a central force. If the force is given by $F(r) = \frac{k}{r^2}$, where $k$ is a cons	ant, find the angular momentum of the particle in terms of $m$, $R$, and $k$.

Accepted Answer

\frac{m\cdot R^2 \cdot \sqrt{k}}{R}

Post Utme Mountain Top University 2020 Physics Question 36

A particle of mass $m$ is moving in a circular orbit of radius $R$ under the influence of a central force. If the force is given by $F(r) = \frac{k}{r^2}$, where $k$ is a cons\tant, find the angular momentum of the particle in terms of $m$, $R$, and $k$.

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