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Compare the binding energy of a body at rest on the surface of the earth with the binding energy of a body of same mass at rest on the surface of the moon. (g = 9.8 m/s^2 , Radius of the earth = 6400 km, Radius of the moon= 1747 km)

Compare the binding energy of a body at rest on the surface of the earth with the binding energy of a body of same mass at rest on the surface of the moon. (g = 9.8 m/s^2 , Radius of the earth = 6400 km, Radius of the moon= 1747 km)

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Grade:12

1 Answers

Pooja
127 Points
4 years ago

Binding energy on surface of earth is
Ee= GMem/Re = mgeRe


Similarly on moon it is
Em= GMmm/Rm = mgmRm

Comparing both
Ee/Em = geRe/gmRm
             = 9.8 × 6400 / 1.625 × 1747
             =22

It is 22 time more on earth than on moon

 

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