Understanding Mass vs. Weight

It's important to understand the difference between mass and weight. Mass is the amount of 'stuff' or matter in an object, and it stays the same no matter where the object is. Weight, on the other hand, is the force of gravity acting on that mass. Weight changes depending on the gravitational pull of the location.

Calculating Weight on Earth

The question gives us the mass of the body as 6 kg. It also provides the acceleration due to gravity on Earth, \(g_{earth} = 10 \, m/s^2\). We can calculate the weight of the body on Earth using the formula:

Weight = Mass \(\times\) Acceleration due to Gravity

So, the weight on Earth is:

\(W_{earth} = m \times g_{earth}\)

\(W_{earth} = 6 \, kg \times 10 \, m/s^2\)

\(W_{earth} = 60 \, N\)

Therefore, the weight of the 6 kg mass on Earth is 60 Newtons (N).

Estimating Weight on the Moon

The Moon has less gravitational pull than Earth. It's a known fact in physics that the gravity on the Moon's surface is approximately one-sixth (1/6) of the gravity on Earth's surface.

This means the weight of an object on the Moon will also be approximately one-sixth of its weight on Earth.

Weight on Moon \(\approx\) \(\frac{1}{6} \times\) Weight on Earth

We calculated the weight on Earth to be 60 N.

\(W_{moon} \approx \frac{1}{6} \times W_{earth}\)

\(W_{moon} \approx \frac{1}{6} \times 60 \, N\)

\(W_{moon} \approx 10 \, N\)

Final Answer Determination

Based on the calculation, the weight of a 6 kg mass on the surface of the Moon is approximately 10 Newtons.