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Option C: The Physics of Sports

Rotational energy, projectiles and the flight of a ball

  • 3 things to know
  • A2 Unit 4 Section B

Overview

Rotational kinetic energy and rolling, projectile range, Bernoulli's equation and the Magnus effect on a spinning ball, and drag and terminal velocity.

What you need to know

Answer each one before you reveal it.

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Key term

What forms of energy contribute to the total mechanical energy of a rolling object?

Numbers

State the formula for drag force and identify each term.

Numbers

State the formula for rotational kinetic energy.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the formula for rotational kinetic energy.

    Model answer

    KE_rotational = (1/2)Iω², where I is moment of inertia and ω is angular velocity.

  2. 2

    Calculate the rotational kinetic energy when moment of inertia = 8.97 kg m², angular velocity = 40 rad s⁻¹.

    Model answer

    Rotational kinetic energy = 0.5 × 8.97 × 40 × 40 = 7176 J.

  3. 3

    What forms of energy contribute to the total mechanical energy of a rolling object?

    Model answer

    Translational kinetic energy, rotational kinetic energy, and gravitational potential energy.

  4. 4

    Write the energy conservation equation for a rolling object descending a height h, and state the relationship linking linear and angular motion.

    Model answer

    mgh = (1/2)mv² + (1/2)Iω², with the relationship v = rω linking linear velocity v and angular velocity ω.

  5. 5

    How is projectile motion typically analysed?

    Model answer

    By treating the horizontal and vertical components of motion independently.

  6. 6

    In projectile motion (ignoring air resistance), how do the horizontal and vertical velocity components behave?

    Model answer

    Horizontal velocity remains constant, while vertical velocity changes due to gravitational acceleration.

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