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Energy needed to raise a body or a satellite to a height, or put it in orbit there

This type of question, asked 5 times: 2 May 2023 S2, 15 May 2023 S2, 11 May 2024 S2, 16 Apr 2026 S2, 19 May 2026 S2. All 5 questions below, oldest first.

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  1. Question 1

    2 May 2023 S2

    39
    The gravitational potential energy required to raise a satellite of mass 'm' to height 'h' above the earth's surface is 'E1_1'. Let the energy required to put this satellite into the orbit at the same height be 'E2_2'. If M and R are the mass and radius of the earth respectively, then E1:E2E_1:E_2 is

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  2. Question 2

    15 May 2023 S2

    5
    The minimum energy required to launch a satellite of mass mm from the surface of a planet of mass MM and radius RR in a circular orbit at an altitude of 2R2R is

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  3. Question 3

    11 May 2024 S2

    45
    The ratio of energy required to raise a satellite to a height 'h' above the earth's surface to that required to put it into the orbit at the same height is (R=R = radius of earth)

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  4. Question 4

    16 Apr 2026 S2

    108
    A body of mass m is taken from earth surface to a height h equal to twice the radius of earth, the increase in potential energy will be (gg = acceleration due to gravity on earth's surface) (R - radius of earth)

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  5. Question 5

    19 May 2026 S2

    109
    The minimum energy required to launch a satellite of mass mm from the surface of a planet of mass MM and radius RR in a circular orbit at an altitude of 3R3R is {G=gravitational constant}\{G = \text{gravitational constant}\}

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