1. You are swinging a ball attached to a string (length is 0.8m) horizontally over your head outside a student dorm.

a. What provides the "center-seeking" force that keeps the ball moving in a circle?

b. If the ball makes 2 complete revolutions per second, what is the angular velocity of the ball?

c. Using the relationship between angular velocity and the tangential velocity, calculate the tangential velocity of the ball.

d. Draw free body diagrams for the ball from viewpoints looking from above (use a polar coordinate system) and looking from the side (use a Cartesian coordinate system where the radial direction is one of the axes).

e. Explain why it is impossible to swing a ball such that both the ball and the string lie in a perfect horizontal plane (if necessary, make appropriate modifications to your free body diagrams above to illustrate how you are able to swing a ball in a perfect horizontal plane).