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 Forces & Elasticity: 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

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

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Answer

This is because the boy is moving towards the ground, losing height and thus losing gravitational potential energy.

Step 2

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

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Answer

As the boy accelerates due to gravity while falling, his speed increases, resulting in an increase in kinetic energy.

Step 3

Calculate the energy stored by each spring.

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Answer

Using the formula:

elastic ext{ }potential ext{ }energy = 0.5 imes spring ext{ }constant imes (extension)^2$$ Substituting the values: $$elastic ext{ }potential ext{ }energy = 0.5 imes 120000 imes (0.015)^2$$ Calculating this gives: $$elastic ext{ }potential ext{ }energy = 0.5 imes 120000 imes 0.000225 = 13.5 ext{ J}$$

Step 4

Calculate the total energy stored by the 40 springs when each spring is stretched by 0.015 m.

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Answer

Using the energy calculated in the previous part:

The total energy is given by:

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

$Total ext{ }energy = 13.5 ext{ J} imes 40 = 540 ext{ J}$

Step 5

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

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Answer

Given that the maximum kinetic energy after the bounce is 45% of the initial kinetic energy:

$Maximum ext{ }kinetic ext{ }energy = 0.45 imes 600 ext{ J} = 270 ext{ J}$

Step 6

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

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Answer

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

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.

Calculate the energy stored by each spring.

Calculate the total energy stored by the 40 springs when each spring is stretched by 0.015 m.

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

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

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