Answer to Question #216732 in Classical Mechanics for Danielle

Question

A compact car can climb a hill in 10 s. The top of the hill is 30 m higher than the bottom, and the car’s mass is 1,000 kg What is the power output of the car?

Answer 1

$$P=\dfrac{W}{t}=\dfrac{mgh}{t},$$ $$P=\dfrac{1000\ kg\cdot9.8\ \dfrac{m}{s^2}\cdot30\ m}{10\ s}=29400\ W=29.4\ kW.$$