Figure 1 shows a boy bouncing on a trampoline. The boy falls from the position in Figure 1 towards the trampoline. Complete the sentences. Choose answers from the box. As the boy falls, there is a decrease in his gravitational potential energy. As the boy falls, there is an increase in his kinetic energy.

GCSE AQA Physics Energy Changes in a System: Figure 1 shows a boy bouncing on

Figure 1 shows a boy bouncing on a trampoline - AQA - GCSE Physics - Question 1 - 2022 - Paper 1

Question 1

Figure 1 shows a boy bouncing on a trampoline. The boy falls from the position in Figure 1 towards the trampoline. Complete the sentences. Choose answers from the ... show full transcript

Worked Solution & Example Answer:Figure 1 shows a boy bouncing on a trampoline - AQA - GCSE Physics - Question 1 - 2022 - Paper 1

Step 1

01.1 Complete the sentences

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Answer

As the boy falls, there is a decrease in his gravitational potential energy.

As the boy falls, there is an increase in his kinetic energy.

Step 2

01.2 Calculate the energy stored by each spring

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Answer

To calculate the energy stored in each spring, use the formula:

$ext{Elastic potential energy} = 0.5 imes ext{spring constant} imes ( ext{extension})^2$ Substituting the values: $ext{Elastic potential energy} = 0.5 imes 120000 imes (0.015)^2$

Calculating the elastic potential energy results in: $ext{Elastic potential energy} = 0.5 imes 120000 imes 0.000225$ $= 13.5 ext{ J}$

Step 3

01.3 Calculate the total energy stored by the 40 springs

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Answer

To find the total energy stored by the 40 springs, multiply the energy stored in each spring by the number of springs:

$ext{Total energy} = ext{Energy per spring} imes ext{Number of springs}$

Using the value from Question 01.2: $ext{Total energy} = 13.5 imes 40 = 540 ext{ J}$

Step 4

01.4 Calculate the maximum kinetic energy of the boy after he bounces

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Answer

The maximum kinetic energy of the boy after he bounces can be calculated as follows:

$ext{Maximum kinetic energy} = 0.45 imes ext{kinetic energy}$ Substituting the values: $ext{Maximum kinetic energy} = 0.45 imes 600 ext{ J} = 270 ext{ J}$

Step 5

01.5 Why is the kinetic energy of the boy after he bounces less than his kinetic energy as he lands?

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Answer

The kinetic energy of the boy after he bounces is less than his kinetic energy as he lands because energy is transferred to the surroundings.

Figure 1 shows a boy bouncing on a trampoline - AQA - GCSE Physics - Question 1 - 2022 - Paper 1

Worked Solution & Example Answer:Figure 1 shows a boy bouncing on a trampoline - AQA - GCSE Physics - Question 1 - 2022 - Paper 1

01.1 Complete the sentences

01.2 Calculate the energy stored by each spring

01.3 Calculate the total energy stored by the 40 springs

01.4 Calculate the maximum kinetic energy of the boy after he bounces

01.5 Why is the kinetic energy of the boy after he bounces less than his kinetic energy as he lands?

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