Question

1 multiple choice 20 points
a 10-kg object on earth will weigh ______ than a 10-kg object on the moon, where gravity is less.
○ more than
○ less than
○ the same as
2 multiple choice 20 points
a 10-kg object will have ______ mass on earth than on the moon.
○ the same
○ less
○ more

Explanation:

Step1: Recall weight formula

Weight is defined as $W = m \times g$, where $m$ is mass and $g$ is gravitational acceleration.

Step2: Compare earth/moon weight

Earth's $g$ is greater than the moon's $g$. For the same $m=10\ \text{kg}$, $W_{\text{earth}} = 10 \times g_{\text{earth}}$ and $W_{\text{moon}} = 10 \times g_{\text{moon}}$. Since $g_{\text{earth}} > g_{\text{moon}}$, $W_{\text{earth}} > W_{\text{moon}}$.

Step3: Recall mass definition

Mass is an intrinsic property, independent of gravity.

Step4: Compare earth/moon mass

The amount of matter in the 10-kg object does not change between earth and moon, so mass is identical.

Answer:

1. more than
2. the same