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Energy Concepts

Gravitational and elastic potential energy

  • 3 things to know
  • Component 1

Overview

Gravitational potential energy and elastic potential energy.

What you need to know

Answer each one before you reveal it.

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Key term

State the equation for the change in gravitational potential energy near the Earth's surface, defining every symbol and its unit.

Key term

State the equation for the elastic potential energy stored in a spring obeying Hooke's law, defining every symbol and its unit.

Key term

Explain why the elastic potential energy stored in a spring is ½kx² rather than kx².

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define gravitational potential energy.

    Model answer

    Gravitational potential energy is the energy stored in a body because of its position in a gravitational field.

  2. 2

    State the equation for the change in gravitational potential energy near the Earth's surface, defining every symbol and its unit.

    Model answer

    The equation is ΔE_p = mgΔh, where ΔE_p is the change in energy in J, m is the mass in kg, g is the gravitational field strength in N kg⁻¹ and Δh is the change in height in m.

  3. 3

    Why is the equation ΔE_p = mgΔh valid only for small height changes near the Earth's surface?

    Model answer

    The equation assumes g stays constant. That assumption only holds while the height change is small compared with the radius of the Earth.

  4. 4

    A hiker of mass 65.0 kg climbs 12.0 m vertically. Calculate the gain in gravitational potential energy. Take g as 9.81 m s⁻².

    Model answer

    The gain is 65.0 × 9.81 × 12.0 = 7.65 × 10³ J. Dividing 7651 J by 65.0 × 12.0 returns 9.81 N kg⁻¹.

  5. 5

    Why can only changes in gravitational potential energy be measured, rather than an absolute value?

    Model answer

    The zero of gravitational potential energy is chosen arbitrarily, so only the difference between two positions has physical meaning.

  6. 6

    Define elastic potential energy.

    Model answer

    Elastic potential energy is the energy stored in a body because it has been stretched, compressed or otherwise deformed.

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