The potential energy of a particle of mass m at a distance r from a fixed point O is given by V r = k r 2 / 2 , where k is a positive constant of appropriate dimensions. This particle is moving in a c

Question

The potential energy of a particle of mass m at a distance r from a fixed point O is given by $V (r) = k r^{2} / 2$ , where k is a positive constant of appropriate dimensions. This particle is moving in a circular orbit of radius R about the point O. If v is the speed of the particle and L is the magnitude of its angular momentum about O, which of the following statements is (are) true?

Question diagram: The potential energy of a particle of mass m at a distance r

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Answer:

B, C

Solution:

$V = \frac{k r^{2}}{2}$
$L = m v R$
$= m \sqrt{\frac{k}{m}} R . R$
$= \sqrt{m k} R^{2}$
$L = \sqrt[m]{\frac{k}{m} R^{2}}$

TestHub · Accepted Answer

V = k r 2 2 L = m v R = m k m R . R = m k R 2 L = k m R 2 m

Physics - Rotation Question with Solution | TestHub

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