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This question is about energy changes - Edexcel - GCSE Physics - Question 6 - 2021 - Paper 1

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This question is about energy changes. (a) Figure 11 shows a water slide. A person travels from the top to the bottom of the water slide. (i) The mass of the person,... show full transcript

Worked Solution & Example Answer:This question is about energy changes - Edexcel - GCSE Physics - Question 6 - 2021 - Paper 1

Step 1

The mass of the person, m = 72 kg. The change in vertical height, h = 7.0 m. Gravitational field strength, g = 10 N / kg. Calculate the change in gravitational potential energy for the person.

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Answer

To calculate the change in gravitational potential energy (GPE), use the formula:

ΔGPE=m×g×h\Delta GPE = m \times g \times h

Substituting the given values:

ΔGPE=72 kg×10 N/kg×7.0 m\Delta GPE = 72 \text{ kg} \times 10 \text{ N/kg} \times 7.0 \text{ m}

This results in:

ΔGPE=5040 J\Delta GPE = 5040 \text{ J}

Step 2

Explain what happens to the energy as the person comes to rest after the end of the water slide.

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Answer

As the person comes to rest after the end of the water slide, the kinetic energy acquired during the slide is transformed into other forms of energy. Primarily, this energy is dissipated as thermal energy due to friction with the surface of the slide and air resistance. Additionally, some energy may be transferred to the surrounding environment, such as through sound as the person impacts the water or the ground.

Step 3

Explain which one of the three distances shown in Figure 12 should be used to calculate the work done against the force of friction between the box and the slope.

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Answer

To calculate the work done against the force of friction, you should use the distance along the slope the box is pushed. This is important because frictional force acts parallel to the surface over which the box is moved, which in this case is represented by the distance along the inclined plane.

Step 4

Calculate the kinetic energy of a tennis ball travelling at 28 m/s. The mass of the tennis ball = 58 g.

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Answer

First, convert the mass of the tennis ball from grams to kilograms:

m=58extg=0.058extkgm = 58 ext{ g} = 0.058 ext{ kg}

Now, using the kinetic energy formula:

KE=12×m×v2KE = \frac{1}{2} \times m \times v^2

Substituting the values:

KE=12×0.058 kg×(28 m/s)2KE = \frac{1}{2} \times 0.058 \text{ kg} \times (28 \text{ m/s})^2

Calculating this yields:

KE=12×0.058×78422.736 JKE = \frac{1}{2} \times 0.058 \times 784 \approx 22.736 \text{ J}

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