The kinetic energy $k$ of a particle moving along a circle of radius $R$ depends on the distance covered $s$ as $k = as^2$ where $a$ is a constant. The force acting on the particle is
$2a\frac{{{s^2}}}{R}$
$2as{\left( {1 + \frac{{{s^2}}}{{{R^2}}}} \right)^{1/2}}$
$2as$
$2a\frac{{{R^2}}}{s}$
A body is whirled in a horizontal circle of radius $20 \,cm$. It has angular velocity of $10\, rad/s$. What is its linear velocity at any point on circular path ....... $m/s$
If a force of constant magnitude acts in direction perpendicular to the motion of a particle, then its
A string of length $0.1\,m$ cannot bear a tension more than $100\,N$. It is tied to a body of mass $100\,g$ and rotated in a horizontal circle. The maximum angular velocity can be .......... $rad/sec$
An aircraft executes a horizontal loop of radius $1.00\; km$ with a steady speed of $900 \;km/h$. Compare its centripetal acceleration with the acceleration due to gravity.
What is uniform circular motion ? By using proper figure, obtain equation of acceleration ${a_c}\, = \,\frac{{{v^2}}}{r}$ for uniform circular motion. Show that its direction is towards centre.