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Question

The weight of an object on the surface of moon is _______ of the weight of object on the surface of the earth.


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Solution

  1. Acceleration due to gravity: Acceleration due to gravity by the earth is the acceleration achieved by any object due to the gravitational force of attraction by any planet.
  2. Because each planet has a distinct mass and radius, each planet's gravitational acceleration will be different.
  3. The mass of the moon is 1100times and the radius of the moon 14times that of the earth.

Weight on Earth:

We=GMemRe2

Weight on Moon:

Wm=GMmmRm2

Dividing the value of weight on Moon by weight on Earth,

WmWe=GMmmRm2×Re2GMem

=MmMe×Re2Rm2=Mm100Mm×4Rm2Rm2=16100=16

weightofanyobjectontheMoon=16weightofanyobjectontheearthsurface

Thus, the weight of an object on the surface of the moon is 16 of the weight of an object on the surface of the earth.


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