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Kinetic, potential and total energy of a satellite in orbit

This type of question, asked 4 times: 27 Jul 2022, 8 Apr 2023, 12 Apr 2023, 2 Apr 2025. All 4 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    27 Jul 2022

    6
    Two satellites A and B having masses in the ratio 4:34:3 are revolving in circular orbits of radii 3r3r and 4r4r respectively around the earth. The ratio of total mechanical energy of AA to BB is:

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  2. Question 2

    8 Apr 2023

    12
    Given below are two statements: Statement I : If EE be the total energy of a satellite moving around the earth, then its potential energy will be E2\frac{E}{2}. Statement II: The kinetic energy of a satellite revolving in an orbit is equal to the half the magnitude of total energy EE. In the light of the above statements, choose the most appropriate answer from the options given below

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  3. Question 3

    12 Apr 2023

    2
    Two satellites A and B move round the earth in the same orbit. The mass of AA is twice the mass of BB. The quantity which is same for the two satellites will be:

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  4. Question 4

    2 Apr 2025

    100
    A satellite of mass 1000 kg is launched to revolve around the earth in an orbit at a height of 270 km from the earth's surface. Kinetic energy of the satellite in this orbit is ____\_\_\_\_ ×1010 J\times 10^{10}\text{ }J. (Mass of earth =6×1024 kg= 6 \times 10^{24}\text{ }kg, Radius of earth == 6.4×106 m6.4 \times 10^{6}\text{ }m, Gravitational constant == 6.67×10−11Nm2 kg−26.67 \times 10^{- 11}{Nm}^{2}{\text{ }kg}^{- 2} )