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An object's mass and weight on Earth are 5 kg and 49 N. Taking the Moon's $g$ as 1/6th of Earth's, its mass and weight on the Moon are:
A5 kg and 8.17 N
B0.83 kg and 8.17 N
C5 kg and 49 N
D0.83 kg and 49 N
Answer & Solution
Correct answer: A. 5 kg and 8.17 N
1. Mass is the amount of matter; it does not change with location, so it stays 5 kg on the Moon.
2. Weight is $W = mg$ and varies with $g$.
3. On the Moon $g$ is 1/6th of Earth's, so weight $= \dfrac{49}{6}$.
4. $\dfrac{49}{6} \approx 8.17$ N, giving 5 kg and 8.17 N.
5. Options that change the mass are wrong because mass is constant everywhere.
_Source: Balbharati (Maharashtra Board) Class 10 Science & Technology, Ch 1 "Gravitation", p.24_
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