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Question
mission nl6: mass vs. weight
the force of gravity of objects on the moon is approximately one-sixth of their value on earth. joes weight on the moon is 100 n. joes mass on the earth will be approximately ______.
a. 6000 n
b. 1000 n
c. 100 n
d. 60 n
e. 6000 kg
f. 1000 kg
g. 100 kg
h. 60 kg
answer:
Step1: Find Earth weight from moon weight
Moon weight is $\frac{1}{6}$ of Earth weight. So Earth weight $W_E = 6 \times W_M$.
$W_E = 6 \times 100\ \text{N} = 600\ \text{N}$
Step2: Calculate mass from Earth weight
Use $W = mg$, so $m = \frac{W_E}{g}$. Take $g = 10\ \text{m/s}^2$ (approx).
$m = \frac{600\ \text{N}}{10\ \text{m/s}^2} = 60\ \text{kg}$
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h. 60 kg