# Questions for Circular Motion (JC) Set 1

A mass of 0.050 kg is attached to one end of a piece of elastic cord of unstretched length 0.50 m. The force constant of the cord is 40 N m-1. The mass is rotated steadily on a smooth table in a horizontal circle of radius 0.70 m. What is the approximated speed of the mass?

1. 11 m s-1
2. 15 m s-1
3. 20 m s-1
4. 24 m s-1

$F= \frac{mv^{2}}{r}$ —- Eqn 1
F = kx, where k is the force constant of the cord, x is the extension of the cord
F = (0.40)(0.20) —- Eqn 2Solving Eqn 1 and 2,
v = 11 m s-1

A 0.500 kg stone is moving in a vertical circular path attached to a string that is 75.0 cm long. The stone is moving around the path at a constant frequency of 2.20 rev s-1. At the moment the stone is overhead, the stone is released. What is the magnitude and direction of the velocity of the stone when it leaves the circular path?

A 30.0 kg child swings on a rope with a length of 4.00 m that is hanging from a tree. At the bottom of the swing the child is moving at a speed of 4.00 m s-1. What is the tension in the rope?

A 2000 kg car is traveling on a banked curved icy road. The velocity of the car is 25.0 m s-1. What will be the angle of the banked road if the car is to travel on the icy road without sliding?

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