The football has a mass of 0.42 kg - Edexcel - GCSE Physics Combined Science - Question 2 - 2023 - Paper 1

Given the equation for gravitational potential energy:

$\Delta GPE = m \times g \times \Delta h$

Where:

• ΔGPE = change in gravitational potential energy (11 J)
• m = mass of the football (0.42 kg)
• g = gravitational field strength (10 N/kg)

Rearranging the formula to find Δh gives:

$\Delta h = \frac{\Delta GPE}{m \times g}$

Substituting the known values:

$\Delta h = \frac{11}{0.42 \times 10}$

Calculating the denominator:

$0.42 \times 10 = 4.2$

So, substituting back:

$\Delta h = \frac{11}{4.2} \approx 2.619$

Rounding this gives:

$\Delta h \approx 2.6 \text{ m}$