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What is the magnitude of the gravitation...

What is the magnitude of the gravitational force between the Earth and a 1kg object on its surface ? (Mass of the earth is `6xx10^(24)` kg and radius of the Earth is `6.4xx10^(6) m)`.

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To find the magnitude of the gravitational force between the Earth and a 1 kg object on its surface, we can use Newton's law of universal gravitation, which is given by the formula: \[ F = \frac{G \cdot M \cdot m}{r^2} \] Where: - \( F \) is the gravitational force, - \( G \) is the gravitational constant \( (6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2) \), - \( M \) is the mass of the Earth \( (6 \times 10^{24} \, \text{kg}) \), ...
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Find the distance of a point from the earth's centre where the resultant gravitational field due to the earth and the moon is zero. The mass of the earth is 6.0xx10^(24)kg and that of the moon is 7.4xx10^(22)kg . The distance between the earth and the moon is 4.0xx10^(5)km .

Knowledge Check

  • Choose the most appropriate option. A rocket is fired from the Earth towards the Sun. At what distance from the Earth's centre, the gravitational force on the rocket is zero? Mass of the Sun = 2 xx 10^(30) kg and mass of the Earth =6 xx 10^(24)kg .

    A
    `2.6 xx 10^(8)m`
    B
    `3.2 xx 10^(8)m`
    C
    `3.9 xx 10^(9)m`
    D
    `2.3 xx 10^(9)m`
  • A synchronous satellite goes around the earth one in every 24 h. What is the radius of orbit of the synchronous satellite in terms of the earth's radius ? (Given: Mass of the earth , M_(E)=5.98xx10^(24) kg, radius of the earth, R_(E)=6.37xx10^(6)m , universal constant of gravitational , G=6.67xx10^(-11)Nm^(2)kg^(-2) )

    A
    `2.4R_(E)`
    B
    `3.6R_(E)`
    C
    `4.8R_(E)`
    D
    `6.6R_(E)`
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    Find the distance of a point from the earth's centre where the resultant gravitational field due to the earth and the moon is zero The mass of the earth is 6.0 xx 10^(24)kg and that of the moon is 7.4 xx 10^(22)kg The distance between the earth and the moon is 4.0 xx 10^(5)km .

    Find the magnitude of the gravitational force between the Sun and the earth. (Mass of the Sun =2xx10^(30) kg, mass of the earth =6xx10^(24)kg and the distance between the centres of the Sun and the earth =1.5xx10^(11)m , (G=6.67xx10^(-11)N.m^(2)//kg^(2))

    Find the distance of a point from the earth's centre where the resultant gravitational field due to the earth and the moon is zero. The mass of the earth is 6.0xx10^24 kg and that of the moon is 7.4x10^22 kg. The distance between the earth and the moon is 4.0xx10^5km .

    A satellite orbits the earth at a height of 400 km, above the surface. How much energy must be expended to rocket the satellite out of the earth's gravitational influence ? Mass of the satellite=200 kg, mass of the earth= 6.0xx10^(24) kg, radius of the earth= 6.4xx10(6) m, G= 6.67xx10^(-11)Nm^(2)Kg^(-2) .

    A satellite orbits the earth at a height of 400km above the surface. How much energy must be expanded to rocket the satellite out of the gravitational influence of earth? Mass of the satellite is 200kg, mass of earth =6.0 xx 10^(24) kg, radius of earth =6.4 xx 10^6 m , G=6.67xx10^(-11)Nm^2 kg^(-2).

    Calculate the speed of projection necessary to send a body right out of the filed of the earth's grvivtational attraction. G= 6.63 xx10^(-11) "newton metre^(2) " Kg^(2) Mass of the earth = 5.97 xx 10^(24) Radius of the earth = 6.37 xx 10^(6) m .