Post Utme Uniport 2024 Physics Question 28

Practice objective / multiple choice question 28 from the 2024 Post Utme Uniport Physics examination.

Post Utme Uniport 2024 Physics Objective / Multiple Choice
Question 28 POST_UTME_UNIPORT • 2024 • PHYSICS • objective

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

Answer Options

Correct Answer A. \( E = \frac{k}{2mr} \)
B. \( E = \frac{k}{mr} \)
C. \( E = \frac{1}{2}mv^2 + \frac{k}{r} \)
D. \( E = \frac{1}{2}mv^2 - \frac{k}{2r} \)
Correct Answer
A
Correct Option:
\( E = \frac{k}{2mr} \)

About This Question

This is Post Utme Uniport 2024 Physics Question 28. It is one of the objective questions from the 2024 Post Utme Uniport Physics examination.

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