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An apple has a weight of 1 N and its volume is 121 cm³ - Leaving Cert Physics - Question (b) - 2019

Question (b)

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An apple has a weight of 1 N and its volume is 121 cm³. Calculate the density of the apple. (acceleration due to gravity = 9.8 ms²)

Worked Solution & Example Answer:An apple has a weight of 1 N and its volume is 121 cm³ - Leaving Cert Physics - Question (b) - 2019

Step 1

Calculate the mass of the apple

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Answer

To find the mass, we can use the formula relating weight (W), mass (m), and gravitational acceleration (g):

$W = mg$

From this, we can rearrange to find:

$m = \frac{W}{g}$

Substituting in the given values:

$m = \frac{1 ext{ N}}{9.8 ext{ ms}^2} \approx 0.102 ext{ kg}$

Step 2

Calculate the density of the apple

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Answer

Density ( $\rho$ ) is calculated by the formula:

$\rho = \frac{m}{v}$

where:

$m$ is the mass of the apple = 0.102 kg
$v$ is the volume of the apple = 121 cm³ (which needs to be converted to m³)

First, convert volume:

$121 ext{ cm}^3 = 121 \times 10^{-6} ext{ m}^3$

Now, calculate the density:

$\rho = \frac{0.102 ext{ kg}}{121 \times 10^{-6} ext{ m}^3} \approx 842.15 ext{ kg m}^{-3}$

Thus, the density of the apple is approximately:

$843 ext{ kg m}^{-3}$

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