Practice problems
1. A 12 kg penguin is sliding at 5.8 m/s over frictionless snow and encounters a dip in the snow. She starts at a height 4.5 m above the bottom of the dip. How fast is she moving when she reaches a height of 6.1 m at the other side?
2. A block of mass m starts from rest and slides a distance d1 down a stationary ramp of angle θ and then along the floor a distance d2 before coming to a stop. Assume there is friction between the block and ramp, and between the block and floor, both characterized by the same coefficient of kinetic friction.
What is the coefficient of kinetic friction?
Consider the case where d1 = 7.8 m, d2 = 7.2 m and θ = 14 degrees.
3. A 12 kg penguin starts from rest on a 45 m high slope with angle 32 degrees. She slides down the frictionless slope against a horizontal 68 N headwind.
A. What is the work done on the penguin by the wind?
B. How fast is the penguin moving at the bottom of the slope?