Question

How high must you lift a 25 Newton book for it to have the same increase in potential energy as a 20 Newton book that was lifted to 0.5 meters?

Answer 1

Given :

An object with weight 20 N was lifted to 0.5 meters.

To Find :

How high must you lift a 25 Newton book for it to have the same increase in potential energy as the given book.

Solution :

Since both have same potential energy :

$P.E_2 = P.E_1\\\\W_2h_2 = W_1h_1$

Putting all given values in above equation :

$25h_2 = 20\times 0.5\\\\h_2 = \dfrac{20\times 0.5}{25}\\\\h_2 = 0.4\ m$

Therefore, book with same potential energy is at a height of 0.4 m.