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Mathematical Requirements (Appendix C)

Substituting into physical equations

  • 4 things to know
  • All units

Overview

Recall questions on Substituting into physical equations.

What you need to know

Answer each one before you reveal it.

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Key term

State the thermal conduction equation that relates the rate of heat transfer to the properties of a material and the temperature gradient.

Key term

Define each term in the momentum equation p = mv.

Numbers

State the equation used to calculate momentum from mass and velocity.

Numbers

Calculate the momentum when mass = 75 kg, velocity = 6.5 m s⁻¹.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Starting from v = u + at, what steps would you take to make a the subject?

    Model answer

    Subtract u from both sides to get v − u = at, then divide both sides by t to give a = (v − u)/t.

  2. 2

    Define each term in the momentum equation p = mv.

    Model answer

    p is momentum, m is mass, and v is velocity.

  3. 3

    Calculate the momentum when mass = 75 kg, velocity = 6.5 m s⁻¹.

    Model answer

    Momentum = 75 × 6.5 = 488 kg m s⁻¹.

  4. 4

    State the kinematic equation that relates final velocity to initial velocity, acceleration and time.

    Model answer

    v = u + at.

  5. 5

    State the equation used to calculate momentum from mass and velocity.

    Model answer

    p = mv, where p is momentum, m is mass, and v is velocity.

  6. 6

    Calculate the momentum when mass = 33.9 kg, velocity = 26 m s⁻¹.

    Model answer

    Momentum = 33.9 × 26 = 881 kg m s⁻¹.

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