Question

The quantity of matter contained in an object is called mass. It remains constant whether the object is on earth, the moon, or even in outer space. Weight on the other hand is the force of attraction of the earth with which an object is attracted towards the earth. Now, suppose a man weighs $600$ N on earth, his weight on moon would be $100$ N.

Acceleration due to gravity on the moon is

• A. $10m/s^2$
• B. $9.8m/s^2$
• C. $1.66m/s^2$
• D. $1m/s^2$

Answer 1

The correct option is C

$1.66m/s^2$

Step 1: Given

Weight of man on earth$=600N$

Weight of man on mass$=100N$

Step 2: Finding g on the moon

By using formula $W=m\times g$

$$\begin{gathered} 600=m\times 10 \\ \frac{600}{10}=m \\ m=60\text{kg} \end{gathered}$$

Mass of man on the moon $=60kg$

We have,

$$\begin{gathered} W=m\times g \\ 100=60\times g \\ \frac{100}{60}=g \\ g=1.66m/s^2 \end{gathered}$$

Hence, acceleration due to gravity on the moon is $1.66m/s^2$