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A container contains 5.0 kg of water - Leaving Cert Physics - Question (a) - 2005

Question (a)

A container contains 5.0 kg of water. If the area of the base of the container is 0.5 m² calculate the pressure at the base of the container due to the water. (accel... show full transcript

Worked Solution & Example Answer:A container contains 5.0 kg of water - Leaving Cert Physics - Question (a) - 2005

Step 1

Calculate the Force (Weight) of the Water

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Answer

The weight of the water can be calculated using the formula:

$F = m imes g$

Where:

$m$ is the mass of the water (5.0 kg)
$g$ is the acceleration due to gravity (9.8 m/s²)

Calculating this gives:

$F = 5.0 imes 9.8 = 49.0 ext{ N}$

Step 2

Calculate the Pressure

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Answer

Pressure is calculated by the formula:

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

Where:

$F$ is the force (49.0 N)
$A$ is the area (0.5 m²)

Substituting the values, we have:

$P = \frac{49.0}{0.5} = 98.0 ext{ Pa}$

Step 3

Final Result

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Answer

Thus, the pressure at the base of the container due to the water is:

$P = 98 ext{ Pa}$

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