Question

The weight of a body on the moon is $60N$. What is the weight of that body on earth?

Answer 1

Step 1: Given data:

Weight of the body on moon,$W_m=60N$.

Assume the weight of a body on earth, $W_e.$

Mass of the body be $m.$

Acceleration due to gravity on earth be $g_e=9.8m/s^2.$

Acceleration due to gravity on the moon be $g_m=\frac{1}{6}{g}_{e}or{g}_e=6g_m.$

Step 2: Finding the weight of the body on earth:

The mass of a body is constant everywhere.

The weight of the body on the moon is,

$$\begin{gathered} Weight=Mass\times Acceleration\left(duetogravity\right) \\ {W}_m=m\times g_m-----\to \left(1\right) \end{gathered}$$

The weight of the body on the earth is,

$W_e=m\times g_e------\to \left(2\right)$

Putting these value $g_e$ in the equation (2).

$$\begin{gathered} W_e=m\times 6g_m \\ {W}_e=6(m\times g_m) \end{gathered}$$

From the equation (1).

$$\begin{gathered} W_e=6W_m \\ {W}_e=6\times (60N) \\ {W}_e=360N \end{gathered}$$

Hence, the weight of the body on the earth is $360N$.