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Pearson Edexcel International GCSE (9–1) · PHYSICS · Chapter

Work and Power

58 practice questions

Topics covered

Practice questions

21–29 of 29 · Normal

  1. Question 21

    1 mark · Normal

    State the formula relating power, work done (or energy transferred), and time.

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  2. Question 22

    3 marks · Normal

    A student with a mass of 60 kg runs up a flight of stairs in 9.0 s. The stairs have 12 steps, each 0.25 m high. Use g = 10 N/kg.

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  3. Question 23

    3 marks · Normal

    A cyclist rides up a hill at a constant speed. Explain, using ideas about energy stores and transfers, why the cyclist must keep pedalling to maintain this speed.

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  4. Question 24

    3 marks · Normal

    A table shows the time taken for four students to lift identical boxes through the same vertical distance:

    StudentTime taken (s)
    Ali10
    Ben8
    Chloe12
    Dina6

    Each box requires 300 J of work to be lifted.

    (a)

    Which student had the greatest power output?

    [1 mark]
    (b)

    Calculate the power output for this student.

    [2 marks]
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  5. Question 25

    6 marks · Normal

    A construction worker lifts a toolbox of mass 12 kg vertically upwards at a steady speed through a height of 2.5 m in 5 seconds.

    (a)

    Calculate the work done by the worker in lifting the toolbox.

    [2 marks]
    (b)

    State the relationship between work done and energy transferred in this process.

    [1 mark]
    (c)

    Calculate the power output of the worker while lifting the box.

    [3 marks]
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  6. Question 26

    5 marks · Normal

    A diver of mass 60 kg jumps from a diving board 8 m above a swimming pool. Ignore air resistance.

    (a)

    Calculate the gravitational potential energy (GPE) that the diver has at the top of the jump, relative to the water.

    [2 marks]
    (b)

    Assuming all of the GPE is converted to kinetic energy (KE), calculate the speed of the diver just before hitting the water.

    [3 marks]
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  7. Question 27

    5 marks · Normal

    A small electric cart has a mass of 120 kg and moves at a steady speed of 5 m/s along a horizontal track for 40 m. The total frictional force opposing its motion is 90 N.

    (a)

    Calculate the work done against friction as the cart moves 40 m.

    [2 marks]
    (b)

    Calculate the kinetic energy of the cart as it moves.

    [2 marks]
    (c)

    State whether the work done against friction is equal to, less than, or greater than the kinetic energy of the cart. Explain your answer.

    [1 mark]
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  8. Question 28

    5 marks · Normal

    A 400 kg rollercoaster car starts from rest at the top of a track 15 m above the ground. The car descends to the lowest point with negligible friction. Use g = 10 N/kg.

    (a)

    Calculate the gravitational potential energy of the car at the top of the track.

    [2 marks]
    (b)

    Calculate the speed of the car at the lowest point, assuming all the potential energy changes to kinetic energy.

    [3 marks]
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  9. Question 29

    6 marks · Normal

    A student with weight 500 N runs up a set of stairs 4 m high in 10 s.

    (a)

    Calculate the work done against gravity as the student climbs the stairs.

    [2 marks]
    (b)

    Calculate the student's power output while running up the stairs.

    [2 marks]
    (c)

    Describe one reason why the actual useful power output of the student might be less than the calculated value.

    [2 marks]
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