Answer :
To solve this problem, we need to understand how weight is affected by gravitational force. Weight is the force exerted by gravity on an object. It can be calculated using the formula:
[tex]\text{Weight} = \text{mass} \times \text{gravitational acceleration}[/tex]
On Earth, the gravitational acceleration is approximately $9.8 , \text{m/s}^2$. Therefore, the weight of a 10 kg object on Earth is:
[tex]\text{Weight on Earth} = 10 \, \text{kg} \times 9.8 \, \text{m/s}^2 = 98 \, \text{N}[/tex]
However, the moon's gravitational force is only [tex]\frac{1}{6}[/tex] of Earth's gravitational force. Thus, the gravitational acceleration on the moon is:
[tex]\text{Gravitational acceleration on the moon} = \frac{9.8}{6} \, \text{m/s}^2 \approx 1.63 \, \text{m/s}^2[/tex]
Using this information, we can calculate the weight of the 10 kg object on the moon:
[tex]\text{Weight on the moon} = 10 \, \text{kg} \times 1.63 \, \text{m/s}^2 = 16.3 \, \text{N}[/tex]
Therefore, the correct answer is (b) 16.3 N.
