A 10,000 W motor operates an elevator weighing 5000 N. Assuming no frictional losses, how high is the elevator raised in 10 seconds.

20 meters

Explanation:

Given that

Power of the motor, P = 10,000 Watts

Weight of the motor, w = 5,000 Newton

Time used in raising the elevator, t = 10 seconds.

Height the elevator was raised through, h = ?

To find this, we're going to use simple relationship between them all.

Say, we find the power to weight ratio which is, Power / Weight

10,000 / 5,000 = 2

This power to weight ratio is then multiplied by the time used in moving the elevator to get the distance through which it moved.

2 * 10 = 20 meters.