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Energy Concepts

Conservation of energy and efficiency

  • 3 things to know
  • AS Unit 1

Overview

Recall questions on Conservation of energy and efficiency.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Key term

State the equations for the three forms of mechanical energy.

Key term

State the principle of conservation of energy.

Key term

State the equation for the gravitational potential energy gained by a mass raised through a height.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the principle of conservation of energy.

    Model answer

    Energy cannot be created or destroyed, only transferred from one form to another, so the total energy of a closed system is constant.

  2. 2

    State the equation for the gravitational potential energy gained by a mass raised through a height.

    Model answer

    Ep = mgh, where m is the mass, g is the gravitational field strength and h is the vertical height gained.

  3. 3

    State the equation for the elastic potential energy stored in a stretched spring.

    Model answer

    Ep = ½kx², where k is the spring constant and x is the extension.

  4. 4

    State the equation for the kinetic energy of a moving mass.

    Model answer

    Ek = ½mv², where m is the mass and v is the speed.

  5. 5

    What happens to the speed of an object if its kinetic energy is doubled, with mass unchanged?

    Model answer

    The speed increases by a factor of √2, because kinetic energy is proportional to the square of the speed.

  6. 6

    Use conservation of energy to find the speed of an object dropped from a height h, ignoring air resistance.

    Model answer

    The gravitational potential energy lost equals the kinetic energy gained, so mgh = ½mv², giving v = √(2gh).

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