OCR · A-Level · Physics

    Course version: H556 · Version from Sept 2015

    (b) gravitational potential energy of an object in a uniform gravitational…

    Full specification wording

    Kinetic and potential energies: (b) gravitational potential energy of an object in a uniform gravitational field; E p = mgh

    Gravitational potential energy (GPE) is the energy an object possesses due to its position in a gravitational field.

    Checked against the OCR H556 specification (opens in a new tab) on .

    • Point 2 of 3
    • 4 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    Gravitational potential energy (GPE) is the energy an object possesses due to its position in a gravitational field. In a uniform gravitational field, such as near the Earth's surface, the change in GPE when an object of mass m is raised by a height h is given by Ep = mgh, where g is the gravitational field strength (approximately 9.81 N kg⁻¹ on Earth). The equation assumes the field is uniform, meaning g is constant over the height moved. The unit of GPE is the joule (J).

    For example: Lifting a 2 kg mass by 3 m gives Ep = 2 × 9.81 × 3 = 58.86 J. In MCQ questions, you may calculate GPE, compare changes, or identify the effect of changing mass, height, or gravitational field strength.

    What earns the marks

    • Gravitational potential energy is the energy stored in an object due to its position in a gravitational field.
    • In a uniform gravitational field, the change in gravitational potential energy is calculated using Ep = mgh.
    • m is mass in kg, g is gravitational field strength in N kg⁻¹, and h is vertical height change in m.
    • The unit of gravitational potential energy is the joule (J).
    • The equation applies when the gravitational field is uniform, i.e., g is constant over the change in height.

    Common mistakes and how to put them right

    • Using the wrong value for g.

      Put it right: Check the question for the value of g to use; if not given, use 9.81 N kg⁻¹.

    • Forgetting that h is the vertical height change, not the distance moved along a slope.

      Put it right: Use the vertical component of displacement.

    • Mixing up mass and weight.

      Put it right: Ensure you use mass in kg, not weight in N.

    • Assuming the equation applies in non-uniform fields.

      Put it right: For large height changes, g varies and the equation is not accurate.

    Exam tips

    • In multiple-choice questions, check whether the height is vertical; if an object moves along a slope, you must use the vertical height, not the slope length.
    • If the question gives g as 10 N kg⁻¹, use that value; otherwise use 9.81 N kg⁻¹.
    • Remember that gravitational potential energy is relative to a chosen zero level; the equation gives the change in GPE.

    Try the lesson

    The start of the Kinetic and potential energies: (b) gravitational potential energy of an object in a uniform gravitational field; E p = mgh lesson, made from checked teaching notes for this specification point.

    Listen

    Gravitational potential energy (GPE) is the energy an object possesses due to its position in a gravitational field. In a uniform gravitational field, such as near the Earth's surface, the change in GPE when an object of mass m is raised by a height h is given by Ep = mgh, where g is the gravitational field strength (approximately 9.81 N kg⁻¹ on Earth). The equation assumes the field is uniform, meaning g is constant over the height moved. The unit of GPE is the joule (J). For example, lifting a 2 kg mass by 3 m gives Ep = 2 × 9.81 × 3 = 58.86 J. In MCQ questions, you may calculate GPE, compare changes, or identify the effect of changing mass, height, or gravitational field strength. A strong answer earns marks for these points. Gravitational potential energy is the energy stored in an object due to its position in a gravitational field. In a uniform gravitational field, the change in gravitational potential energy is calculated using Ep = mgh. m is mass in kg, g is gravitational field strength in N kg⁻¹, and h is vertical height change in m. The unit of gravitational potential energy is the joule (J). A common slip: Using the wrong value for g: for example, using 10 m s⁻² instead of 9.81 N kg⁻¹ when the question expects the standard value. Instead, check the question for the value of g to use; if not given, use 9.81 N kg⁻¹. Exam tip: In multiple-choice questions, check whether the height is vertical; if an object moves along a slope, you must use the vertical height, not the slope length.

    See it

    A top-down flowchart. The first box reads 'Object of mass m in a uniform gravitational field' and points to a second box, 'Raised by vertical height h', which points to a third box, 'Change in gravitational potential energy'. That box points to a fourth box, 'Ep = mgh'. From this equation box, five boxes branch out: 'm is mass in kg', 'g is gravitational field strength in N kg⁻¹', 'h is vertical height change in m', 'Unit of Ep is the joule (J)', and 'Valid only when g is constant over the height moved'.
    It shows how raising a mass in a uniform gravitational field gives a change in gravitational potential energy calculated with Ep = mgh, along with what each symbol means and when the equation is valid.

    Key words

    Say what each word means before you turn the card.

    Gravitational potential energy

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    Uniform gravitational field

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    Gravitational field strength

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    Ep = mgh

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    See every definition
    Gravitational potential energy
    The energy an object possesses due to its position in a gravitational field, measured in the joule (J).
    Uniform gravitational field
    A field in which g is constant over the height moved, such as near the Earth's surface.
    Gravitational field strength
    The quantity g in the equation Ep = mgh, approximately 9.81 N kg⁻¹ on Earth.
    Ep = mgh
    The equation giving the change in gravitational potential energy when an object of mass m is raised by a height h in a uniform gravitational field.

    Label the diagram

    Some boxes have lost their names. Pick the right name for each number.

    The diagram again, with 3 boxes numbered instead of named. A top-down flowchart. The first box reads 'Object of mass m in a uniform gravitational field' and points to a second box, 'Raised by vertical height h', which points to a third box, 'Change in gravitational potential energy'. That box points to a fourth box, 'Ep = mgh'. From this equation box, five boxes branch out: 'm is mass in kg', 'g is gravitational field strength in N kg⁻¹', 'h is vertical height change in m', 'Unit of Ep is the joule (J)', and 'Valid only when g is constant over the height moved'.
    • 1Box 1

    • 2Box 2

    • 3Box 3

    0 of 3 labelled

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