A $200 k g$ motorcycle is driven around a $14 m$ radius horizontal circular loop at a constant speed of $15 m / s$ . Calculate the required centripetal force on the motorcycle.

Q. A body of mass m performs uniform circular motion along a circular path of radius

r

with velocity

v

. If its angular momentum is

L

,then the centripetal force acting on it is:

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If the centripetal force to keep the ball in a horizontal circular loop is 10 N, it achieves an angular velocity of 0.25 rad/s with a radius 10 m, then calculate its required mass.

The correct option is A 16 kg Given: F = 10 N, angular velocity ω = 0.25 rad/s, radius r = 10 m We know that, centripetal force on an object is given by, F = mω²r Therefore, m = Fω²r i.e. m = 100.252×10 So, mass of the ball is, m = 16 kg

If the centripetal force to keep the ball in a horizontal circular loop is $10 N$ , it achieves an angular velocity of $0.25 r a d / s$ with a radius $10 m$ , then calculate its required mass.