Question

The weight of any person on the moon is about $1/6$ times that on the earth. He can lift a mass of $15\text{kg}$ on the earth. What will be the maximum mass, which can be lifted by the same force applied by the person on the moon?

Answer 1

Step 1. Given:

The weight of person on the moon is $1/6$ times that on the earth.

He can lift a mass of $15\text{kg}$ on the earth

Step 2: To find the maximum mass which can be lifted by the same force applied by the person on the moon.

Weight of person on moon = $\frac{1}{6}$of weight on earth

$g$ on moon = $\frac{1}{6}g$ on earth

The force that is applied by the man to lift mass ‘$m$’ is:

On earth,

$$\begin{gathered} F=mg \\ F=15g \end{gathered}$$

If he can lift a certain mass ‘$m$’ by applying the same force on the moon, then

$$\begin{gathered} m=15\times 6 \\ m=90kg \end{gathered}$$

Hence, the person can lift mass $6$times heavier on the moon than on earth.