Question

When its engine of power 75.0 kW is generating full power, a small single-engine airplane with mass 700 kg gains altitude at a rate of 2.60 m/s .

A)What fraction of the engine power is being used to make the airplane climb? (The remainder is used to overcome the effects of air resistance and of inefficiencies in the propeller and engine.)

Compare the rate of increase in potential energy with the engine power. The ratio will be the fraction that you are being asked to determine.

The rate of increase in potential energy is M g dh/dt.
dh/dt is the rate of increase in altitude, 2.60 m/s. m is the mass and g is the acceleration of gravioty.