A student investigated the density of different fruits. To determine the density of each fruit, the student measured the volume of each fruit. Figure 3 shows the equipment the student could have used. Describe a method the student could have used to measure the volume of the lime. The student measured the volumes of each fruit three times and then calculated a mean value. The three measurements for a grape were 2.1 cm³ 2.1 cm³ 2.4 cm³ Calculate the mean value. What are the advantages of taking three measurements and calculating a mean value? Tick (✔) two boxes. The mass of an apple was 84.0 g. The volume of the apple was 120 cm³. Calculate the density of the apple. Give your answer in g/cm³. Use the equation: density = mass volume

GCSE AQA Physics Changes of State & the Particle Model: A student investigated the densi

A student investigated the density of different fruits - AQA - GCSE Physics - Question 3 - 2021 - Paper 1

Question 3

A student investigated the density of different fruits. To determine the density of each fruit, the student measured the volume of each fruit. Figure 3 shows the eq... show full transcript

Worked Solution & Example Answer:A student investigated the density of different fruits - AQA - GCSE Physics - Question 3 - 2021 - Paper 1

Step 1

Describe a method the student could have used to measure the volume of the lime.

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Answer

To measure the volume of the lime, the student could follow these steps:

Use a measuring cylinder and fill it with an appropriate amount of water, ensuring it covers the bottom of the cylinder.
Record the initial volume of water in the measuring cylinder.
Carefully place the lime into the measuring cylinder, ensuring it is fully submerged.
Record the new water level in the measuring cylinder.
Subtract the initial volume of water from the new volume to find the volume of the lime.

This method is effective as it accurately measures the volume of irregular objects by utilizing the displacement of water.

Step 2

Calculate the mean value.

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Answer

Mean value is calculated as follows:

$mean = \frac{(2.1 + 2.1 + 2.4)}{3} = \frac{6.6}{3} = 2.2 \text{ cm}³$

Thus, the mean value is 2.2 cm³.

Step 3

What are the advantages of taking three measurements and calculating a mean value?

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Answer

Allows anomalous results to be identified and ignored.
Reduces the effect of random errors when using the equipment.

Step 4

Calculate the density of the apple.

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Answer

Density can be calculated using the formula:

$density = \frac{mass}{volume}$

Substituting the values:

$density = \frac{84.0g}{120cm³} = 0.70\text{ g/cm}³$

Therefore, the density of the apple is 0.70 g/cm³.

A student investigated the density of different fruits - AQA - GCSE Physics - Question 3 - 2021 - Paper 1

Worked Solution & Example Answer:A student investigated the density of different fruits - AQA - GCSE Physics - Question 3 - 2021 - Paper 1

Describe a method the student could have used to measure the volume of the lime.

Calculate the mean value.

What are the advantages of taking three measurements and calculating a mean value?

Calculate the density of the apple.

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