A bobsled team is trying to make the qualifying round in the winter Olympics. Include units as appropriate below.

(a) The team travels around an ideally-banked curve (where friction plays no role in the motion and so can be neglected) at 55.0° at a

speed of 32.0 m/s. What is the radius of the turn?

T =

(b) What is the team's centripetal acceleration?

ac =

When kicking a soccerball, a player rotates her left leg about her hip joint. Treat the effect of air resistance to be negligible and the

clockwise direction of rotation to be positive. Include units as appropriate below.

(a) If the speed of her shoe is 37.0 m/s and her hip joint is 1.05 m from the tip of her shoe, what is the angular speed of the shoe tip as

seen from her left?

(b) Her shoe is in contact with the initially stationary 0.50 kg soccerball for 20.0 ms. What is the magnitude of the average force applied

to the soccerball to give it a speed of 20 m/s?

Fav =

(c) If she kicks the ball as described in part (b) what is the maximum range of the soccerball on level ground? (Recall a previous

formula from your formula sheet).

R=