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Force is measured in newtons (N) - OCR - GCSE Maths - Question 20 - 2021 - Paper 1

Question 20

Force is measured in newtons (N). A force of 198.5 N is applied to a rectangular surface of length 4.9 cm and width 4.1 cm. Work out an estimate of the pressure, in... show full transcript

Worked Solution & Example Answer:Force is measured in newtons (N) - OCR - GCSE Maths - Question 20 - 2021 - Paper 1

Step 1

Calculate the Area of the Rectangle

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Answer

To find the area of the rectangular surface, we use the formula:

$Area = Length \times Width$

Substituting the values:

$Area = 4.9 \text{ cm} \times 4.1 \text{ cm} = 20.09 \text{ cm}^2$

Step 2

Apply the Pressure Formula

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Answer

Next, we apply the formula for pressure:

$Pressure = \frac{Force}{Area}$

Substituting the values for force and area:

$Pressure = \frac{198.5 \text{ N}}{20.09 \text{ cm}^2} \approx 9.86 \text{ N/cm}^2$

Step 3

Round to the Nearest Whole Number

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Answer

Since the question asks for an estimate, we round the pressure:

Estimated Pressure ( \approx 10 \text{ N/cm}^2 )

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