Tension (T) provides the centripetal force: T = mv2/r. With r and m constant, T ∝ v2. If
T2 = 4T1, then v22 = 4v12.
Given v1 = 10 rpm, then v2 = √4 × 102 = 20 rpm.
A body of mass $100 \;g$ is moving in a circular path of radius $2\; m$ on a vertical plane as shown in the figure. The velocity of the body at point A is $10 m/s.$ The ratio of its kinetic energies at point B and C is: (Take acceleration due to gravity as $10 m/s^2$)

A sportsman runs around a circular track of radius $ r $ such that he traverses the path ABAB. The distance travelled and displacement, respectively, are:

