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Gravitation

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Weight

Tanusri Gururaj, Academic content writer of Physics at Edumarz


The force which attracts objects towards the Earth.

  • W = mg 


  •  SI unit: Newton (N)


  • The weight of an object varies from place to place and is measured using a spring balance.


  • At the center of the Earth, ‘g’ becomes zero and, hence, weight also becomes zero. 


  • Weight of a body on the moon:

Let us assume the following-

m = mass of the body to be measured on the moon

Mm = mass of the moon

Me = mass of the Earth

Rm = radius of the moon

Re = radius of the Earth

Wm = weight of the body with mass ‘m,’ on the moon

We = weight of the body with mass ‘m,’ on the Earth 


Wm = G Mm m/Rm2

We = G Me m/Re2

Wm/We = Mm Re2/Me Rm2


Using the following values to calculate Wm/We

Me = 5.98 x 1024

Mm= 7.36 x 1022

Rm = 6.37 x 106

Re = 1.74 x 106

Putting the above values, we get Wm/We = ⅙

Hence the weight of an object on the moon = ⅙ ( weight of the same object on Earth)


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