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Define pressure - Leaving Cert Physics - Question 1 - 2013

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Define pressure. Describe an experiment to show that the atmosphere exerts pressure. A diver swims upwards from a depth of 50 m to a depth of 20 m below the surfac... show full transcript

Worked Solution & Example Answer:Define pressure - Leaving Cert Physics - Question 1 - 2013

Step 1

Define pressure.

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Answer

Pressure is defined as the force exerted per unit area. Mathematically, this can be expressed by the formula:

P=FAP = \frac{F}{A}

where PP is the pressure, FF is the force applied, and AA is the area over which the force is distributed.

Step 2

Describe an experiment to show that the atmosphere exerts pressure.

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Answer

To demonstrate atmospheric pressure, you can conduct a simple experiment involving a can and water:

  1. Apparatus: Use a can filled with water and place a cardboard lid over it.
  2. Procedure: Carefully invert the can so that the cardboard lid remains in place, and then remove the lid slowly.
  3. Observation/Conclusion: As the cardboard lid is removed, the can remains intact, demonstrating that air pressure acting on the lid supports the weight of the water, illustrating that the atmosphere exerts pressure.

Step 3

Calculate the decrease in pressure on the diver as she swims upwards.

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Answer

To calculate the decrease in pressure as the diver ascends from 50 m to 20 m:

  1. Pressure at 50 m:

    P50=ρgh=1000×9.8×50=490000PaP_{50} = \rho g h = 1000 \times 9.8 \times 50 = 490000 \, \text{Pa}

  2. Pressure at 20 m:

    P20=ρgh=1000×9.8×20=196000PaP_{20} = \rho g h = 1000 \times 9.8 \times 20 = 196000 \, \text{Pa}

  3. Decrease in Pressure:

    ΔP=P50P20=490000196000=294000Pa\Delta P = P_{50} - P_{20} = 490000 - 196000 = 294000 \, \text{Pa}

Thus, the decrease in pressure on the diver as she swims upwards is 294,000 Pa.

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