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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), we can use the equation:

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

Substituting the values into the equation:

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

Calculating this gives:

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 gravitational potential energy that was converted to kinetic energy during the slide is dissipated.

  1. Energy Transfer: The kinetic energy is transferred to the surroundings as heat due to friction with the water and air.
  2. Overall Energy Change: The total mechanical energy decreases as the person stops moving, and some of that energy may also be converted to sound energy.

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, the distance along the slope should be used.

This is because work is defined as the force applied over a distance in the direction of that force. The slope distance provides the correct measure over which friction acts when moving the box up the slope.

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}

Using the kinetic energy formula:

KE=12mv2KE = \frac{1}{2} m v^2

Substituting the values:

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

Calculating this gives:

KE=12×0.058×784KE = \frac{1}{2} \times 0.058 \times 784

KE=22.724 JKE = 22.724 \text{ J}

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