**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?**

**11 m s**^{-1}**15 m s**^{-1}**20 m s**^{-1}**24 m s**^{-1}

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$F= \frac{mv^{2}}{r}$ —- 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}

Answer: 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?**

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Answer: 10.4 m s^{-1}, horizontal

**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?**

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Answers: 414 N

**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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Answer: 7.27 degrees

i think the last question is missing a component; the radius.

Thanks for pointing it out. 🙂 I’ve cancelled it until I have the time to fix it.