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Kinetic energy of a rolling body: rotational share or speed of the centre

This type of question, asked 6 times: 26 Jun 2022, 29 Jan 2023, 31 Jan 2023, 12 Apr 2023, 5 Apr 2024, 24 Jan 2025. All 6 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    26 Jun 2022

    94
    Solid spherical ball is rolling on a frictionless horizontal plane surface about its axis of symmetry. The ratio of rotational kinetic energy of the ball to its total kinetic energy is:-

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  2. Question 2

    29 Jan 2023

    26
    A solid sphere of mass 2 kg2\text{ }kg is making pure rolling on a horizontal surface with kinetic energy 2240 J2240\text{ }J. The velocity of centre of mass of the sphere will be____ ms−1ms^{- 1}
  3. Question 3

    31 Jan 2023

    22
    A solid sphere of mass 1 kg1\text{ }kg rolls without slipping on a plane surface. Its kinetic energy is 7×10−3 J7 \times10^{- 3}\text{ }J. The speed of the centre of mass of the sphere is____ cms−1cms^{- 1}
  4. Question 4

    12 Apr 2023

    22
    For a rolling spherical shell, the ratio of rotational kinetic energy and total kinetic energy is x5\frac{x}{5}. The value of xx is___
  5. Question 5

    5 Apr 2024

    115
    A hollow sphere is rolling on a plane surface about its axis of symmetry. The ratio of rotational kinetic energy to its total kinetic energy is x5\frac{x}{5}. The value of xx is _______ .
  6. Question 6

    24 Jan 2025

    79
    A solid sphere is rolling without slipping on a horizontal plane. The ratio of the linear kinetic energy of the centre of mass of the sphere and rotational kinetic energy is :

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