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The acceleration due to the gravity of the moon is only $1 / 6$ as strong as the acceleration due to the gravity of the earth. What is the weight in newtons of a $10 kg$ object on the moon?

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15.1 N

16.3 N

12.3 N

11.6 N

answer is B.

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Detailed Solution

The gravitational force on the surface of the moon is only

1 / 6

as strong as the gravitational force on the earth. The weight of a

10 kg

object on the moon is

16.3 N

.
Given data in the problem,
Object mass,

m = 10 kg

And, Acceleration due to gravity on earth,

g_{e} ​ = 9.8 m / s^{2}

Object weight on earth,

{W = mg}_{e}

\Rightarrow W = 10 \times 9.8

\Rightarrow W = 98 N

According to the question the acceleration due to gravity on the moon,

g_{m} = \frac{1}{6} \times 9.8

\Rightarrow g_{m} = 1.63 m / s^{2}

So, object weight on moon,

W = m g_{e}

\Rightarrow W = 10 \times 1.63

\Rightarrow W = 16.3 N

Hence, the weight of that object at the moon is

16.3 N

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