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If an object weighs $588 N$ on the earth then its mass on the moon is (Take $g = 9.8 m / s^{2}$ )

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50 Kg

55 Kg

60 Kg

None of these

answer is C.

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Detailed Solution

The mass of an object on the moon is

60 Kg

if its weight on earth is

588 N

.
We know that

W = m \times g

where,

W

is the weight of an object

m

is the mass of an object

g

is the gravitational acceleration.
According to the given data, the parameters on the earth’s surface are

W = 588 N

and

g = 9.8 m / s^{2}

By putting these data in the above formulae, we get

588 = m \times 9.8

\Rightarrow m = \frac{588}{9.8}

m = 60 Kg

Therefore, the mass of an object is

60 Kg

if its weight is

588 N

. Since the mass is constant and independent of where it is calculated, the mass of objects on earth and moon is the same.

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