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9709 past papers

9709 · topic questions

Energy, work and power

Mathematics12 questions

12 past-paper questions on Energy, work and power

  • 9709/41 · May/June 20246 marks

    A car of mass 1700kg is pulling a trailer of mass 300kg along a straight horizontal road. The car and trailer are connected by a…

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  • 9709/42 · May/June 20245 marks

    (b) Use an energy method to find the speed of the particles at the instant when they are at the same vertical height.

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  • 9709/42 · October/November 20244 marks

    A block of mass 20kg is held at rest at the top of a plane inclined at 30° to the horizontal. The block is projected with speed…

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  • 9709/41 · October/November 20244 marks

    The car now travels at a constant speed up a hill inclined at an angle of sin¯¹0.15 to the horizontal. Find the greatest possible…

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  • 9709/41 · May/June 20254 marks

    It is given instead that the plane BC is rough. The work done against the frictional force when Q moves 2m down the plane is 1.8…

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  • 9709/41 · May/June 20244 marks

    A train of mass 180000kg ascends a straight hill of length 1.5km, inclined at an angle of 1.5° to the horizontal. As it ascends…

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  • 9709/41 · May/June 20253 marks

    When the lorry has reached a speed of 20 ms⁻¹, it begins to ascend a section of road inclined at an angle α° to the horizontal.…

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  • 9709/42 · May/June 20243 marks

    A cyclist and bicycle have a total mass of 72kg. The cyclist rides along a horizontal road against a total resistance force of 28…

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  • 9709/42 · May/June 20243 marks

    (ii) Find the power of the car's engine.

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  • 9709/42 · May/June 20243 marks

    (b) The car now moves at a constant speed on a straight level road. Given that its engine is working at 54kW, find this speed.

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  • 9709/41 · October/November 20243 marks

    It is given instead that the plane is rough and the particle reaches B with a speed of 8 ms¯¹. The plane is 25 m long and the…

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  • 9709/42 · October/November 20242 marks

    Given that the power and resistance to motion are unchanged, find the steady speed which the cyclist could maintain when riding…

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Energy, work and power (9709) past-paper questions — marked instantly

These are real Cambridge Mathematics past-paper questions on Energy, work and power. Open one, attempt it, then upload your working — MarkScheme grades it against the official 9709 mark scheme so you see exactly where the marks are won and lost on this topic.

Frequently asked questions

How many Energy, work and power questions are there for 9709?
This page collects 12 recent Cambridge Mathematics (9709) past-paper questions tagged to Energy, work and power. Each links straight to instant marking against the official 9709 scheme.
How are Energy, work and power answers marked?
Type or photograph your working and MarkScheme scores it against the real 9709 mark scheme for this topic — method, accuracy and any band descriptors — so you see exactly where the marks are.
Where can I learn Energy, work and power first?
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