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Mass And Density On Earth...

Mass And Density On Earth

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Knowing the value of g, how can we calculated the mass and density of Earth?

A planet of radius R=(1)/(10)xx(radius of Earth) has the same mass density as Earth. Scientists dig a well of depth (R )/(5) on it and lower a wire of the same length and a linear mass density 10^(-3) kg m(_1) into it. If the wire is not touching anywhere, the force applied at the top of the wire by a person holding it inplace is (take the radius of Earth =6xx10^6m and the acceleration due to gravity on Earth is 10ms^(-2)

At a height of 10 km above the surface of earth, the value of acceleration due to gravity is the same as that of a particular depth below the surface of earth. Assuming uniform mass density of the earth, the depth is,

Calculate the mass and density of the earth. Given that Gravitational constant G = 6.67 xx 10^(-11) Nm^(2)// kg^(2) , the radius of the earth = 6.37 xx 10^(6) m and g = 9.8 m//s^(2) .

Moment of inertia of the earth about an axis passing through its centre of mass is (where R and rho are radius and density of the earth respectively).

Average density of the Earth

Average density of earth

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