A 37 kg father fashions a swing for his children out of a long rope that he fastens to the limb of a tall tree. As one of the children swings from this rope that is 7.3 m long, his tangential speed at the bottom of the swing is 4.0 m/s. Required:
a. What is the centripetal force of the child at the bottom of the swing?
b. What provides the centripetal force that keeps the child moving in an arc?

1. gravitational acceleration
2. the height of the tree
3. the tension in the rope
4. the weight of the child