What average mechanical power (in W) must a 72.0 kg mountain climber generate to climb to the summit of a hill of height 345 m in 46.0 min? Note: Due to inefficiencies in converting chemical energy to mechanical energy, the amount calculated here is only a fraction of the power that must be produced by the climber's body.

You are out on a nice bike ride in the mountains. You and the bicycle together have a mass of 83 kg. Up ahead, there is a huge hill to climb. You stop and drink some water and start to climb. The climb is very hard work. You entertain yourself with your nifty bike computer, which is reporting a power output of 400.0 W! At the end, you've climbed 128 m vertically in 4 minutes and 32 seconds! a) Assuming your power output was constant, how much work did you do during your climb? b) What is the energy transfer equation during this climb? c) Assuming your power output was constant, and no energy was lost, what was your final kinetic energy (remember you started off at rest?

When its 75-kW (100-hp) engine is generating full power, a small single engine airplane with mass 700 kg gains altitude at a rate of 2.5 m/s (150 m/min, or 500 ft/min). What fraction of the engine power is being used to make the airplane climb (the rest is used to overcome drag and friction)?

A warehouse worker pushes a crate across a rough floor. A frictional force of 22.5 N acts to oppose the motion of the crate, and the worker pushes with a horizontal force of 40.6 N. If the total work done by the worker on the crate is 98.0 J, through what distance did the worker push the crate?