QuestionJune 29, 2025

You would have the largest mass of gold if it weighed 1 N on the Moon Earth both the same on the Earth the mass will be double

You would have the largest mass of gold if it weighed 1 N on the Moon Earth both the same on the Earth the mass will be double
You would have the largest mass of gold if it weighed 1 N on the
Moon
Earth
both the same
on the Earth the mass will be double

Solution
4.2(209 votes)

Answer

You would have the largest mass of gold if it weighed 1 N on the Moon. Explanation 1. Determine gravitational acceleration Gravitational acceleration on the Moon is 1.625 \, \text{m/s}^2, and on Earth, it is 9.81 \, \text{m/s}^2. 2. Use weight formula to find mass Weight W = m \cdot g. For the Moon: 1 \, \text{N} = m \cdot 1.625 \, \text{m/s}^2. For Earth: 1 \, \text{N} = m \cdot 9.81 \, \text{m/s}^2. 3. Calculate mass for each case On the Moon: m = \frac{1}{1.625} \approx 0.615 \, \text{kg}. On Earth: m = \frac{1}{9.81} \approx 0.102 \, \text{kg}.

Explanation

1. Determine gravitational acceleration<br /> Gravitational acceleration on the Moon is $1.625 \, \text{m/s}^2$, and on Earth, it is $9.81 \, \text{m/s}^2$.<br />2. Use weight formula to find mass<br /> Weight $W = m \cdot g$. For the Moon: $1 \, \text{N} = m \cdot 1.625 \, \text{m/s}^2$. For Earth: $1 \, \text{N} = m \cdot 9.81 \, \text{m/s}^2$.<br />3. Calculate mass for each case<br /> On the Moon: $m = \frac{1}{1.625} \approx 0.615 \, \text{kg}$. On Earth: $m = \frac{1}{9.81} \approx 0.102 \, \text{kg}$.
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