If the weight of an object on the Earth's surface is 2.5 x 10\(^3\)N, what is its weight on the moon's surface if the gravitational force of the moon is one-sixth of the Earth's(g = 10m/s\(^{-2}\))
a
360.87N
b
416.67N
c
214.49N
d
510.79N
Explanation
Correct Option
bVideo Explanation
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PerfectEmerole
4 months ago
The answer is B
since they told us that the gravitational force of attraction of the moon is one sixth of the earth it simply implies that
10ms-² ×1/ 6 = 10/6 = 1.66667ms-² of the moon's acceleration
Note we all know that weight of a body is directly proportional to gravitational force
hence
W1/ge = W2/gm
2.5×10³/10 = W2/1.66667
10W2 = 2.5×10³ × 1.66667
10W2 = 4166.675 divide both side by 10
W2 = 4166.675/10
W2 = 416.6675N approximately 416.67N

