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Question
The mass and weight of an object on earth are 5 kg and 49 N respectively. What will be their values on the moon? Assume that the acceleration due to gravity on the moon is 1/6th of that on the earth.
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Solution
Given:
Mass on earth (me) = 5 kg, weight on earth (We) = 49 N,
acceleration due to gravity on moon (gm) = `9.8/6` m/s2 = 1.6333 m/s2
To find:
Mass (mm), weight (Wm) on moon
Wm = mmgm ...[From Formula]
The mass of the object is independent of gravity and remains unchanged, i.e., 5 kg.
From formula,
Wm = 5 × 1.6333
∴ Wm = 8.1665 N ≈ 8.17 N
On the moon, the mass of the object is 5 kg and the weight is 8.17 N.
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