A child is twirling a 0.0142-kg ball on a string in a horizontal circle whose ra

Question

A child is twirling a 0.0142-kg ball on a string in a horizontal circle whose radius is 0.0733 m. The ball travels once around the circle in 0.695 s. (a) Determine the centripetal force acting on the ball. (b) If the speed is doubled, by what factor does the centripetal force increase?

A child is twirling a 0.0142-kg ball on a string in a horizontal circle whose radius is 0.0733 m. The ball travels once around the circle in 0.695 s. (a) Determine the centripetal force acting on the ball. (b) If the speed is doubled, by what factor does the centripetal force increase?

Explanation / Answer

a) centripital force = mv^2/r

v = 2pi*r/T = 2*3.14*0.0733/0.695 = 0.662336690647482 m/sec

mv^2/r= 0.0142* 0.662336690647482* 0.662336690647482/0.0733 = 0.084984944928 N

b) in the speed is coubled the the force increases by 4 times

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