the mass of a stone is measured on earth and weighs 90 grams

1 answer

To clarify, the mass of the stone is 90 grams, which is a measure of the amount of matter in the stone. Weight, on the other hand, is the force exerted by gravity on that mass.

On Earth, weight is calculated using the formula:

\[ \text{Weight} = \text{mass} \times \text{gravity} \]

The average acceleration due to gravity on Earth is approximately \(9.81 , \text{m/s}^2\).

If the mass of the stone is 90 grams (or 0.09 kilograms, since 1 gram = 0.001 kilograms), the weight can be calculated as follows:

\[ \text{Weight} = 0.09 , \text{kg} \times 9.81 , \text{m/s}^2 \]

Calculating this gives:

\[ \text{Weight} \approx 0.8829 , \text{N} \]

So, the stone would weigh approximately 0.883 Newtons on Earth.