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6xx10^(24)kg: Mass of the Earth :: 6.4xx...

`6xx10^(24)kg`: Mass of the Earth :: `6.4xx10^(6)m`: ______________.

Text Solution

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Radius of the Earth Mass is measured in kg and distance is measured in metres.
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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 = 6.0 ×x 10^(24) kg, radius of the earth = 6.4 xx 10^(6) m , G = 6.67 xx 10^(-11) N m^(2)) kg^(-2) .

A satellite orbits the earth at a height of 500km from its surface. Mass of the earth =6xx10^(24)kg Radius of the earth =6.4xx10^(6)m Mass of the satellite = 300kg G=6.67xx10^(-11)Nm^(2)kg^(-2) Calculate (i) kinetic energy (ii) potential energy and (iii) total energy of the satellite.

Knowledge Check

  • The mass of the earth is 6xx10^(24) kg and that of the Moon is 7.4 xx10^(22) kg. The constant of gravitation G is 6.67 xx10^(-11) "Nm"^(2) "kg"^(-2) The potential energy of the system is -7.79xx10^(28) J The mean distance between the Earth and Moon is .......... metre.

    A
    `3.80 xx10^(8)`
    B
    `3.37xx10^(8)`
    C
    `7..60xx10^(8)`
    D
    `1.90xx10^(2)`

    • Similar Questions

    Explore conceptually related problems

    A satellite orbits the earth at a height of 500km from its surface. Mass of the earth =6xx10^(24)kg Radius of the earth =6.4xx10^(6)m Mass of the satellite = 300kg G=6.67xx10^(-11)Nm^(2)kg^(-2) Calculate (i) kinetic energy (ii) potential energy and (iii) total energy of the satellite.

    A rocket is fired vertically with a speed of 5 km s^(-1) from the earth’s surface. How far from the earth does the rocket go before returning to the earth ? Mass of the earth = 6.0 x× 10^(24) kg, mean radius of the earth = 6.4 xx 10^(6) m , G = 6.67 xx 10^(-11) " N "m^(2) kg^(-2) .

    An apple of mass 250 g falls from a tree. Calculate the acceleration of Earth towards the apple. Mass of the Earth =5.983xx10^(24)kg Radius of the Earth =6.378xx10^(6)mandG=6.67xx10^(-11)Nm^(2)kg^(-2)

    An apple of mass 250 g falls from a tree. Calculate the acceleration of Earth towards the apple. Mass of the Earth =5.983xx10^(24)kg Radius of the Earth =6.378xx10^(6)mandG=6.67xx10^(-11)Nm^(2)kg^(-2)

    A rocket is fired from the earth towards the sun. At what distance from the earth’s centre is the gravitational force on the rocket zero ? Mass of the sun = 2 xx 10^(30) kg. Mass of the earth = 6xx10^(24) kg. Neglect the effect of other planets etc. (orbittal radtus = 1.5 xx 10^(11) m ).

    Say True or False. The mass of the Earth is 6.4xx10^(6)kg .

    What is the gravitational potential energy of the Earth and sun ? The Earth to sun distance is arouund 150 million Km . The mass of the Earth is 5.9 xx 10^(24) kg and the mass of the sun is 1.9 xx 10^(30) kg.

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