1. A cyclist of mass 70.0 kg is freewheeling down a hill inclined at 15.0° to the horizontal.
He keeps his brakes on so that he travels at a steady speed of 6.0 m/s. The brakes
provide the only force opposing the motion.
! a. Draw an FBD showing the forces acting on the cyclist.
! b. Calculate the component of his weight acting down the hill.
! c. Calculate the braking force.
! d. Calculate the work done by the brakes in 3.0 s.

2. A car of mass 1500 kg is traveling at 30.0 m/s.
! a. What is its kinetic energy?
! b. It slows to 10.0 m/s. What is the KE now?
! c. What is the change in kinetic energy?
! d. If it takes 80.0 meters to slow down by this amount, what is the average braking
force?

3. A diver of mass 50.0 kg climbs up to a diving platform 1.25 m high.
! a. What is her weight, in N?
! b. What is her change in potential energy?
! c. Where does this energy come from?
! d. She walks off the platform and falls down. What is her KE as she hits the water?
! e. What is her speed as she hits the water?