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  4. The ratio of momentum and kinetic energy of particle is inversely proportional to the time. Then this is the case of a:

Q. The ratio of momentum and kinetic energy of particle is inversely proportional to the time. Then this is the case of a:

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Solution:

For uniformly accelerated motion particles momentum is given as $p=$ mat and its kinetic energy is given as $K=(1 / 2) m a^{2} t^{2}$ and the ratio of the two is $p / K=2 / a t$.

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4. A particle of mass $m$ is moving in a circular path of constant radius $r$ such that its centripetal acceleration $a_{c}$ is varying with time $t$ as $a_{c}=k^{2} \, rt^{2}$ , where $k$ is a constant. The power delivered to the particle by the force acting on it is

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