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Q.

The mass of an object is 90 kg. If the mass of Mon is one-sixth the mass of the earth, what is the weight of the object on Moon?

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a

147 x 105 dynes

b

253 x 104 dynes

c

147 N

d

253 N

answer is A, C.

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Detailed Solution

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The weight of the object on mars will be 147 N.


Given,
Mass of the object, m=90 kg
Weight of the object, W=mg
                                        =90×9.8
                                        =882 N
The amount of matter that makes up an object is its mass. It is a scalar quantity. In contrast, a body is drawn toward the centre of the earth by the force of an object's weight. It is a vector quantity that is oriented toward the earth's centre. 

The formula, W=mg

Where, m is the object's mass, and g is its gravitational acceleration, can be used to determine the weight. 

The mass of an object is constant, while the weight of an object varies with the variation in acceleration due to gravity.
The ratios of the weight of an object on earth to the weight of an object on the moon can be calculated as
mgemgm =gegm 
9.81.7=6
The weight of the object on the moon  =16×weight of the object on earth
=16×882
=147N

Convert to dynes:

  • 1 N = 10⁵ dynes
  • Therefore, 147 N = 147 × 10⁵ dynes = 1,470,000 dynes
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