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The football has a mass of 0.42 kg - Edexcel - GCSE Physics - Question 3 - 2023 - Paper 1

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The football has a mass of 0.42 kg. The football gains 11 J of gravitational potential energy as it moves from the ground to the wall. Calculate the height at whic... show full transcript

Worked Solution & Example Answer:The football has a mass of 0.42 kg - Edexcel - GCSE Physics - Question 3 - 2023 - Paper 1

Step 1

Calculate the height at which the ball hits the wall.

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Answer

To find the height, we can rearrange the gravitational potential energy equation:

Δh=ΔGPEm×g\Delta h = \frac{\Delta GPE}{m \times g}

Substituting the values into the equation:

Δh=11 J0.42 kg×10 N/kg\Delta h = \frac{11 \text{ J}}{0.42 \text{ kg} \times 10 \text{ N/kg}}

Calculating the denominator gives:

0.42×10=4.2 N0.42 \times 10 = 4.2 \text{ N}

Hence:

Δh=114.22.619 m\Delta h = \frac{11}{4.2} \approx 2.619 \text{ m}

Rounding to two decimal places, we find:

Δh2.6 m\Delta h \approx 2.6 \text{ m}

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