Question

click and drag on elements in order
assume the acceleration due to gravity, $g$, is $10\\ \text{m/s}^2$ on earth and $1.6\\ \text{m/s}^2$ on the moon. arrange the following from the largest mass to the smallest mass. place the largest mass at the top.
① instructions
a 1000 n rock on the moon
a 20 n rock on the earth
a 100 n rock on the moon
a 500 n rock on the earth

Explanation:

Step1: Recall mass-weight formula

The relationship between weight $W$, mass $m$, and gravitational acceleration $g$ is $m = \frac{W}{g}$.

Step2: Calculate mass of 1000 N moon rock

Earth $g=10\ \text{m/s}^2$, moon $g=1.6\ \text{m/s}^2$.
$m_1 = \frac{1000}{1.6} = 625\ \text{kg}$

Step3: Calculate mass of 100 N moon rock

$m_2 = \frac{100}{1.6} = 62.5\ \text{kg}$

Step4: Calculate mass of 500 N Earth rock

$m_3 = \frac{500}{10} = 50\ \text{kg}$

Step5: Calculate mass of 20 N Earth rock

$m_4 = \frac{20}{10} = 2\ \text{kg}$

Step6: Compare and order masses

$625\ \text{kg} > 62.5\ \text{kg} > 50\ \text{kg} > 2\ \text{kg}$

Answer:

1. A 1000 N rock on the moon
2. A 100 N rock on the moon
3. A 500 N rock on the Earth
4. A 20 N rock on the Earth