Aboy whirls a stone in a horizontal circle of radius 1.4 m and at height 1.5 m above ground level. the string breaks, and the stone flies horizontally and strikes the ground after traveling a horizontal distance of 10 m. what is the magnitude of the centripetal acceleration of the stone while in circular motion?

Explanation:

Given

radius of circle=1.4 m

Height of stone above ground=1.5 m

Horizontal distance(R)=10 m

It is given at the time of break stone flies horizontally thus stone to cover a height of 1.5 m in time t before reaching ground

t=0.55 s

Initial horizontal velocity at the time of break is given by u

u=18.07 m/s

Therefore magnitude of centripetal acceleration is given by

pe = weightxheight = 2000x1000=2,000,000joules