Figure 10 shows a football kicked against a wall. The football has a mass of 0.42 kg. (i) The football gains 11 J of gravitational potential energy as it moves from the ground to the wall. Calculate the height at which the ball hits the wall. Gravitational field strength = 10 N/kg Use the equation ΔGPE = m × g × Δh height = __________________ m (ii) Calculate the kinetic energy of the football when it is moving at a velocity of 12 m/s. Use the equation KE = \frac{1}{2} m v^2.

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Figure 10 shows a football kicked against a wall - Edexcel - GCSE Physics Combined Science - Question 6 - 2023 - Paper 1

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Figure 10 shows a football kicked against a wall. The football has a mass of 0.42 kg. (i) The football gains 11 J of gravitational potential energy as it moves fro... show full transcript

Worked Solution & Example Answer:Figure 10 shows a football kicked against a wall - Edexcel - GCSE Physics Combined Science - Question 6 - 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 use the equation for change in gravitational potential energy (ΔGPE):

$ΔGPE = m × g × Δh$

Rearranging this gives:

$Δh = \frac{ΔGPE}{m × g}$

We know:

ΔGPE = 11 J
m = 0.42 kg
g = 10 N/kg

Substituting these values into the equation:

$Δh = \frac{11 J}{0.42 kg × 10 N/kg} = \frac{11}{4.2} ≈ 2.62 m$

Thus, the height at which the ball hits the wall is approximately 2.62 m.

Step 2

Calculate the kinetic energy of the football when it is moving at a velocity of 12 m/s.

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Answer

To calculate the kinetic energy (KE), we use the formula:

$KE = \frac{1}{2} m v^2$

Where:

m = 0.42 kg
v = 12 m/s

Substituting the values:

$KE = \frac{1}{2} × 0.42 kg × (12 m/s)^2$

Calculating:

$KE = \frac{1}{2} × 0.42 kg × 144 m^2/s^2 = 30.24 J$

Thus, the kinetic energy of the football is 30.24 J.

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Figure 10 shows a football kicked against a wall - Edexcel - GCSE Physics Combined Science - Question 6 - 2023 - Paper 1

Worked Solution & Example Answer:Figure 10 shows a football kicked against a wall - Edexcel - GCSE Physics Combined Science - Question 6 - 2023 - Paper 1

Calculate the height at which the ball hits the wall.

Calculate the kinetic energy of the football when it is moving at a velocity of 12 m/s.

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