An object of mass $m$ moves with constant speed in a circular path of radius $R$ under the action of a force of constant magnitude $F$. The kinetic energy of object is ............

A stone of mass $1\,kg$ is tied to end of a massless string of length $1\,m$. If the breaking tension of the string is $400\,N$, then maximum linear velocity, the stone can have without breaking the string, while rotating in horizontal plane, is $.......\,ms^{-1}$

A particle moves in a circle of radius $25\, cm$ at two revolutions per second. The acceleration of the particle in $m/{s^2}$ is

A particle starting from rest, moves in a circle of radius $r$. It attains a velocity of $\mathrm{V}_{0} \;\mathrm{m} / \mathrm{s}$ in the $\mathrm{n}^{\text {th }}$ round. Its angular acceleration will be

In uniform circular motion, the velocity vector and acceleration vector are

A solid disc rolls clockwise without slipping over a horizontal path with a constant speed $\upsilon $. Then the magnitude of the velocities of points $A, B$ and $C$ (see figure) with respect to a standing