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Forces in Action

Density, pressure and upthrust

  • 3 things to know
  • Papers 1 and 3

Overview

Recall questions on density and pressure with their calculations, pressure at a depth p = hρg, why pressure increases with depth, how the pressure difference produces upthrust, and Archimedes' principle.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Numbers

Define density and write its equation, identifying each term.

Key term

Explain how the pressure difference between the top and bottom of a submerged object produces upthrust.

Key term

Define upthrust.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define pressure.

    Model answer

    Pressure is force per unit area.

  2. 2

    State the equation for pressure at a depth in a fluid of uniform density.

    Model answer

    p = ρgh, where ρ is the fluid density, g is gravitational field strength, and h is the depth.

  3. 3

    Calculate the pressure when density = 1030 kg m⁻³, gravitational field strength = 9.81 N kg⁻¹, depth = 0.65 m.

    Model answer

    Pressure = 1030 × 9.81 × 0.65 = 6570 Pa.

  4. 4

    Define upthrust.

    Model answer

    Upthrust is the upward buoyancy force exerted on an object by a fluid in which it is immersed.

  5. 5

    Define density.

    Model answer

    Density is mass per unit volume.

  6. 6

    Write the equation for density and identify each term.

    Model answer

    ρ = m/V, where ρ is density, m is mass, and V is volume.

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Density means mass per unit volume.
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