Question

click and drag on elements in order
assume the acceleration due to gravity, g, is 10 m/s² on earth and 1.6 m/s² on the moon. rank the following from the largest weight (top) to the smallest weight (bottom).
instructions
a 100-kg rock on the earth
a 100-kg rock on the moon
a 500-kg rock on the moon
a 20-kg rock on the earth

Explanation:

Step1: Recall weight formula

Weight $W = m \times g$, where $m$ = mass, $g$ = gravitational acceleration.

Step2: Calculate weight of 100kg Earth rock

$W_1 = 100 \times 10 = 1000$ N

Step3: Calculate weight of 100kg Moon rock

$W_2 = 100 \times 1.6 = 160$ N

Step4: Calculate weight of 500kg Moon rock

$W_3 = 500 \times 1.6 = 800$ N

Step5: Calculate weight of 20kg Earth rock

$W_4 = 20 \times 10 = 200$ N

Step6: Rank weights from largest to smallest

Compare values: $1000 > 800 > 200 > 160$

Answer:

1. A 100-kg rock on the Earth
2. A 500-kg rock on the moon
3. A 20-kg rock on the Earth
4. A 100-kg rock on the moon