Question

if an astronaut weighs 981 n on earth and only 160 n on the moon, then what is his mass on the moon?
____ kg
use g = 1.6 m/s² on the moon and do not include units in your answer.

Explanation:

Step1: Recall weight - mass formula

Weight $W = mg$, where $W$ is weight, $m$ is mass and $g$ is gravitational acceleration.

Step2: Rearrange formula for mass

$m=\frac{W}{g}$. We use the weight and $g$ value on the Moon. Given $W = 160\ N$ and $g = 1.6\ m/s^{2}$ on the Moon.
$m=\frac{160}{1.6}$

Step3: Calculate the mass

$m = 100$

Answer:

100