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The period of moon around the earth is 2...

The period of moon around the earth is 27.3 days and radius of the orbit is `3.9 xx 10^(5) km`. `G=6.67 xx 10^(-11) Nm^(-2)kg^(-2)`, find the mass of the earth.

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The time period of revolution of moon around the earth is 28 days and radius of its orbit is 4xx10^(5) km. If G=6.67xx10^(-11) Nm^(2)//kg^(2) then find the mass of the earth.

If a spaceship orbits the earth at a height of 500 km from its surface, then determine its (i) kinetic energy, (ii) potential energy, and (iii) total energy (iv) binding energy. Mass of the satellite = 300 kg, Mass of the earth = 6xx10^(24) kg , radius of the earth = 6.4 xx 10^(6) m, G=6.67 xx 10^(-11) "N-m"^(2) kg^(-2) . Will your answer alter if the earth were to shrink suddenly to half its size ?

Knowledge Check

  • Calculate the mass of sum if the mean radius of the earth's orbit is 1.5xx10^(8)km and G=6.67xx10^(-11)Nxxm^(2)//kg^(2)

    A
    `M=2xx10^(30)kg`
    B
    `M=3xx10^(30)`
    C
    `M=2xx10^(15)kg`
    D
    `M=3xx10^(15)kg`

  • A rocket is fired vertically upwards with a speed of upsilon (=5 km s^(-1)) from the surface of earth. It goes up to a height h before returning to earth. At height h a body is thrown from the rocket with speed upsilon_(0) in such away so that the body becomes a satellite of earth. Let the mass of the earth, M = 6 xx 10^(24) kg , mean radius of the earth, R = 6.4 xx 10^(6)m, G = 6.67 xx 10^(-11) Nm^(2) kg^(-2) , g = 9.8 ms^(-2) . Answer the following questions: Time period of revollution of satellite around the earth is

    A
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    B
    `7100 s`
    C
    `5330 s`
    D
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  • The distance between centre of the earth and moon is 384000 km . If the mass of the earth is 6xx10^(24) kg and G=6.66xx10^(-11)Nm^(2)//kg^(2) . The speed of the moon is nearly

    A
    1km/sec
    B
    4 km/sec
    C
    8 km/sec
    D
    11.2 km/sec

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    The radius of the earth is 6.37 xx 10^(6) m and its mean density is 5.5 xx 10^(3) "kg m"^(-3) and G = 6.67 xx 10^(-11) "N-m"^(2) kg^(-2) Find the gravitational potential on the surface of the earth.

    The radius of the moom is 1.7 xx 10^(6) m and its mass is 7.4 xx 10^(22) kg . If G = 6.67 xx 10^(-11) Nm^(2) kg^(-2) , find the value of acceleration due to gravity on the surface of moon.

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