A ball of mass 100 g is made to loop-the-loop in a vertical circle as shown in Fig. 7.1.29. The radius of the circle is 0.5 m (i)-What is the critical velocity at the highest point of the track ? (ii) If the velocity of the ball at the highest point of the track is twice the critical velocity what is the force exerted by the ball against track?

A ball of mass 100 g is made to loop-the-loop in a vertical circle as

1.	A ball of mass 100 g is made to loop-the-loop in a vertical circle as shown in Fig. 7.1.29. The radius of the circle is 0.5 m (i)-What is the critical velocity at the highest point of the track ? (ii) If the velocity of the ball at the highest point of the track is twice the critical velocity what is the force exerted by the ball against track?
Answer» Solution :`mv^(2)//mg, V = sqrt(rg) = sqrt(0.5 XX 98) = 2.2 m//s`. Force `=mv^(2)//r - mg, V = 2.2 m//s, F = 2.9 N`