A stone of mass 100 g attached to a string of length 50 cm is whirled in a vertical circle by giving velocity at lowest point as 7 m/s. Find the velocity at the highest point. [Acceleration due to gravity = 9.8 m/s2 ]
Given:- m = 100 g = 0.1 kg, r = 50 cm = 0.5m, g = 9.8 m/s2, vL = 7 m/s
To find:- Velocity at the highest point (vH)
Calculation:- Total energy at highest point,
T.E.(H)= K.E. at lowest point = (1/2)mvL2
∴ T.E(H) = (1/2)x0.1x72
`therefore v_H=5.422` m/s
The velocity at the highest point is 5.422 m/s.