Motion In Two Dimension(12th Grade > Physics ) Questions and answers for exam Preparation

MOTION IN TWO DIMENSION MCQs

Total Questions : 31 | Page 4 of 4 pages

Question 31. If a particle of mass m is moving in a horizontal circle of radius r with a centripetal force (-

\frac{k}{r^{2}}

) , the total energy is

Discuss Question

Answer: Option A. -> - k2r
:
A

\frac{m v^{2}}{r}

\frac{k}{r^{2}}

\Rightarrow

v^{2}

\frac{k}{r}

∴

K.E =

\frac{1}{2} m v^{2}

\frac{k}{2 r}

P.E =

\int

F dr =

\int

\frac{k}{r^{2}}

dr = -

\frac{k}{r}

∴

Total energy = K.E + P.E =

\frac{k}{2 r}

\frac{k}{r}

\frac{k}{2 r}

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