If you apply 1 J of energy to lift a book of 0.5 kg, how high will it rise?

Step 1: Given data

Potential energy is, $PE=1J$

Mass of the book is, $m=0.5kg$

Step 2: Calculating height.

The energy possessed by a body due to its height is termed its potential energy. It is given as,

$PE=mgh$

where, $m$ is mass, $g$ is acceleration due to gravity and $h$ is height.

Assume $g=10m/s^2$.

Substituting the known values in the equation for potential energy, we get,

$$\begin{gathered} 1J=0.5kg\times 10m/s^2\times h \\ h=\frac{1}{0.5\times 10} \\ h=\frac{1}{5} \\ h=0.2m \end{gathered}$$

Therefore, the book will rise to a height of $0.2m$.