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Space, Time and Motion

Power and modelling motion in small time steps

  • 3 things to know
  • Components 01, 02 and 03

Overview

Recall questions on power and the watt, power = ΔE/t and power = Fv, climber, car and motor calculations, why higher speeds need more power, iterative models of motion and their two update rules, why start-of-interval velocities underestimate displacement, smaller time steps, and modelling forces that vary with speed.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Key term

Define power.

Key term

State the equation for average power in terms of energy transferred and time.

Key term

Define the watt.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define power.

    Model answer

    Power is the rate at which energy is transferred, which is the same as the rate at which work is done.

  2. 2

    State the equation for average power in terms of energy transferred and time.

    Model answer

    The average power is given by power = ΔE/t.

  3. 3

    Define the watt.

    Model answer

    One watt is a rate of energy transfer of one joule per second.

  4. 4

    Show that power can be written as force multiplied by velocity.

    Model answer

    Power is ΔE/t = FΔs/t, and Δs/t is the velocity, so power = Fv.

  5. 5

    A climber transfers 7.7 × 10³ J of energy in 15 s. What is the average power developed?

    Model answer

    power = ΔE/t = 7.7 × 10³/15 = 5.1 × 10² W.

  6. 6

    A car travels at a steady 25 m s⁻¹ against a total resistive force of 800 N. Calculate the useful output power of its engine.

    Model answer

    power = Fv = 800 × 25 = 2.0 × 10⁴ W.

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