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A body weighs $490 N$ on a planet whose acceleration due to gravity is half of that of the earth. Calculate the mass of the body. (Take $g_{e} = 9.8 m / s^{2}$ )

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50 kg

200 kg

490 kg

100 kg

answer is D.

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Detailed Solution

The mass of the body is

100 kg

.
Given data and assumptions:
The weight of the object on the planet is,

W = 490 N

Accelleration due to gravity of the planet is

g_{p} = \frac{1}{2} \times g_{e}

The value of

g_{e}

at the surface of the earth is

9.8 m / s^{2}

. So, the value of

g_{p}

on the planet will be,

g_{p} = \frac{1}{2} \times 9.8

= 4.9 m / s^{2}

Thus,
Weight of an object is calculated as,

W = m \times g

490 = m \times 4.9

m = \frac{490}{4.9}

m = 100 kg

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