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A satellite orbits the earth at a height...

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)`.

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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).

A satellite orbits the earth at a height 'R' from the surface. How much energy must be expended to rocket the satellite out of earth's gravitational influence?

Knowledge Check

  • A satellite of a mass m orbits the earth at a hight h above the surface of the earth. How much energy must be expended to rocket the satellite out of earth's gravitational influence? (where M_(E) and R_(E) be mass and radius of the earth respectively)

    A
    `(GM_(E)m)/(4(R_(E)+h))`
    B
    `(GM_(E)m)/(2(R_(E)+h))`
    C
    `(GM_(E)m)/((R_(E)+h))`
    D
    `(2GM_(E)m)/((R_(E)+h))`

  • Calculate the force of gravitation due to earth on a ball of 1 kg mass lying on the ground.(Mass of earth =6xx10^(24) kg Radius of earth =6.4xx10^(3) km and G=6.7xx10^(-11)Nm^(2)/Kg^(2)

    A
    `4.9 N`
    B
    `9.8 N`
    C
    `19.2 N`
    D
    None of the above

  • 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`

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    A satellite orbits the earth at a height of 500 km from its surface. Compute its (i) Kinetic energy, (ii) potential energy, and (iii) total energy. Mass of the satellite=300 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) . Will your answer alter if the earth were to shrink suddenly to half its size?

    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 ?

    A satellite orbits the earth at a height of 3.6xx10^(6)m from its surface. Compute it’s a kinetic energy, b. potential energy, c. total energy. Mass of the satellite =500kg mass of the earth =6xx10^(24) kg, radius of the earth =6.4xx10^(6), G=6.67xx10^(-11)Nm^(2)kg^(-2) .

    Find the escape velocity of a body from the earth. [M(earth) =6xx10^(24)kg, R(earth) =6.4xx10^(6)m, G=6.67xx10^(-11)N.m^(2)//kg^(2)]

    A geostationary satellite orbits the earth at a height of nearly 36,000 km from the surface of the earth. What is the potential due to earth's gravity at the site of the satellite ? Mass of the earth= 6xx10^(24) kg and radius =6400 km.

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