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Calculate the acceleration due to gra...

Calculate the acceleration due to gravity on the earth 's surface , given that gravitational constant `G = 6.7 xx 10^(-11)` SL unit , radius of he earth = ` 6. 4 xx 10 ^(6) m ` and mean density of earth = ` 5.5 xx 10^(3) kg m^(-3)`.

Text Solution

Verified by Experts

The correct Answer is:
`9.98 ms^(-2)`
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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) .

Calculate the acceleration due to gravity on the earth from the following data G= 6.6 xx 10 ^(-11) N m^(2) Kgm^(-3) Mean density of the earth = 5xx 10 ^(-3) kgm Radius of the earth = 6.4 xx10 ^(6) m .

Knowledge Check

  • Determine the gravitational potential on the surface of earth, given that radius of the earth is 6.4 xx 10^(6) m : its mean density is 5.5 xx 10^(3)kg m^(-3) , G = 6.67 xx 10^(-11) Nm^(2) kg^(-2) .

    A
    `-6.297 xx 10^(7) J kg^(-1)`
    B
    `3.11 xx 10^(11) J kg^(-1)`
    C
    `4 xx 10^(8) J kg^(-1)`
    D
    `-2 xx 10^(9) J kg^(-1)`
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    Calculate the value of acceleration due to gravity at a place of latitude 45^(@) . Radius of the earth = 6.38 xx 10^(3) km .

    Find the magnitude of the acceleration due to gravity at the surface of the earth. ( M = 6 xx 10^(24) Kg, R = 6400 Km)

    Is the acceleration due to gravity of earth g a constant ? Discuss. Calculate the acceleration due to gravity on the surface of a satellite having a mass of 7.4 xx 10 ^(22) and a radius of 7.4 xx 10 ^(22) kg and a radius of 1.74 xx 10^(6)m G(=6.7 xx 10 ^(11) Nm^(2)//kg ^(2) ).Which satellite do you think it could be ?

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