Weight on Earth and Weight on Moon

Weight on Earth:
Weight is the force with which a body is attracted towards the center of the Earth due to gravity. The weight of an object depends on its mass and the acceleration due to gravity.

Given that the weight of the body on Earth is 48 N, we can assume that the mass of the body is unknown.

Weight on Moon:
The weight of an object on the Moon is different from its weight on Earth because the acceleration due to gravity on the Moon is much less than on Earth. The Moon has only about 1/6th the gravity of Earth.

To calculate the weight of the body on the Moon, we can use the formula:

Weight = mass × acceleration due to gravity

Since the mass of the body is unknown, we can rearrange the formula to solve for mass:

mass = Weight / acceleration due to gravity

On the Moon, the acceleration due to gravity is approximately 1.6 m/s².

Calculating the Weight on Moon:
Using the given weight on Earth (48 N) and the acceleration due to gravity on the Moon (1.6 m/s²), we can calculate the weight of the body on the Moon:

mass = 48 N / 1.6 m/s² = 30 kg (approx.)

Now, we can calculate the weight on the Moon using the mass and the acceleration due to gravity on the Moon:

Weight = mass × acceleration due to gravity
= 30 kg × 1.6 m/s²
= 48 N

Thus, the weight of the body on the Moon is 48 N, which is the same as its weight on Earth.

Therefore, the correct answer is option D) 8 N is incorrect as it does not match the calculated weight.