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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.
enter the answer
Step1: Recall the formula for weight
Weight \(W = mg\), where \(m\) is mass and \(g\) is acceleration due to gravity.
Step2: Calculate mass on the Moon
Given \(W = 160\space N\) (weight on Moon) and \(g=1.6\space m/s^{2}\) (acceleration due to gravity on Moon).
From \(W = mg\), we can solve for \(m\) as \(m=\frac{W}{g}\).
Substitute \(W = 160\) and \(g = 1.6\) into the formula: \(m=\frac{160}{1.6}\).
$$m=\frac{160}{1.6}=100$$
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