Answer to Question #267549 in Classical Mechanics for Wil

Question

An airplane has a mass of 35,000 kg and a take off acceleration of 1.20 m/s^2 in 20 m. How much work was done by the take off of the airplane? What is the power if the work was done in 10 seconds?

Answer 1

The work:

$$W=\frac12mv^2=\frac12m(2ad)=840\text{ kJ}.$$

The power:

$$P=W/t=84\text{ kW}.$$