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9. GRAVITATION

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Gravitational force on the surface of the moon is only $\frac {1} {6}$ as strong as gravitational force on the earth. What is the weight in newtons of a $10\, kg$ object on the moon and on the earth?

A

$15.8\, N$ , $ 45\, N$

B

$14.3\, N$ , $ 56\, N$

C

$16.3\, N$ , $ 98\, N$

D

$12.3\, N$ , $ 89\, N$

Solution

Weight of an object on the moon $= \frac {1} {6} \times $ Weight of an object on the Earth

Also,

Weight = Mass $\times $ Acceleration

Acceleration due to gravity, $g = 9.8 \,m/s^2$

Therefore, weight of a $10\, kg$ object on the Earth $= 10 \times 9.8 = 98\, N$

And, weight of the same object on the moon $=\frac{1}{6} \times 98=16.3\, N$

Std 9

Science

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