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A) Define pressure and state its SI unit.

Physics

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ii

25000 Pa25000 \text{ Pa}

2500 Pa2500 \text{ Pa}

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Here is the solution for question 2:

A) Define pressure and state its SI unit.
Pressure is defined as the force applied perpendicular to the surface of an object per unit area over which the force is distributed. Its SI unit is the Pascal (Pa), which is equivalent to Newtons per square meter (N/m2\text{N/m}^2).

B) State 2 factors that determine the pressure at a point in a liquid.
The pressure at a point in a liquid is determined by:

  • The depth of the point below the surface of the liquid.
  • The density of the liquid.

C) State Pascal's principle of transmission of pressure in fluids.
Pascal's principle states that a pressure change at any point in a confined incompressible fluid is transmitted throughout the fluid such that the same change occurs everywhere.

D) A brick 20 cm long, 10 cm wide and 2 cm thick has a mass of 5 kg. Determine the

Part i

Maximum pressure that can be exerted by the brick on a flat surface.

Part ii

25000 Pa25000 \text{ Pa}

Minimum pressure that can be exerted by the brick on a flat surface. (g = 10N/kg)

  1. Calculate the force exerted by the brick (its weight).

    Given mass m=5 kgm = 5 \text{ kg} and acceleration due to gravity g=10 N/kgg = 10 \text{ N/kg}.

    F=m×gF = m \times g F=5 kg×10 N/kgF = 5 \text{ kg} \times 10 \text{ N/kg} F=50 NF = 50 \text{ N}
  2. Calculate the areas of the faces of the brick.

    Length l=20 cm=0.2 ml = 20 \text{ cm} = 0.2 \text{ m}
    Width w=10 cm=0.1 mw = 10 \text{ cm} = 0.1 \text{ m}
    Thickness t=2 cm=0.02 mt = 2 \text{ cm} = 0.02 \text{ m}

    Area 1 (A1A_1) = l×w=0.2 m×0.1 m=0.02 m2l \times w = 0.2 \text{ m} \times 0.1 \text{ m} = 0.02 \text{ m}^2
    Area 2 (A2A_2) = l×t=0.2 m×0.02 m=0.004 m2l \times t = 0.2 \text{ m} \times 0.02 \text{ m} = 0.004 \text{ m}^2
    Area 3 (A3A_3) = w×t=0.1 m×0.02 m=0.002 m2w \times t = 0.1 \text{ m} \times 0.02 \text{ m} = 0.002 \text{ m}^2

    The minimum area (AminA_{min}) is 0.002 m20.002 \text{ m}^2.
    The maximum area (AmaxA_{max}) is 0.02 m20.02 \text{ m}^2.

  3. Calculate the maximum pressure.

    Maximum pressure occurs when the force is applied over the minimum area.

    Pmax=FAminP_{max} = \frac{F}{A_{min}} Pmax=50 N0.002 m2P_{max} = \frac{50 \text{ N}}{0.002 \text{ m}^2} Pmax=25000 PaP_{max} = 25000 \text{ Pa}

    D) i) Maximum pressure: 25000 Pa\boxed{25000 \text{ Pa}}

  4. Calculate the minimum pressure.

    Minimum pressure occurs when the force is applied over the maximum area.

    Pmin=FAmaxP_{min} = \frac{F}{A_{max}} Pmin=50 N0.02 m2P_{min} = \frac{50 \text{ N}}{0.02 \text{ m}^2} Pmin=2500 PaP_{min} = 2500 \text{ Pa}

    D) ii) Minimum pressure: 2500 Pa\boxed{2500 \text{ Pa}}

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