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Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

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13 questions

SA-9709-P4-EW-0062 marksL1 FoundationCalculatorPower
A car's engine works at 3030 kW against a constant resistance of 12001200 N on level ground. Find the car's maximum speed.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-EW-0102 marksL1 FoundationCalculatorPower
A crane lifts a 200200 kg load through 1515 m at constant speed in 2020 s. Find the average power.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-EW4-0011 markL1 FoundationCalculatorPower
A car's driving force is 20002000 N when it is moving at 25 m s−125\ \text{m s}^{-1}. Find the power of its engine, in kW.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-EW4-0022 marksL1 FoundationCalculatorPower
A motor lifts a load of mass 500500 kg through a vertical height of 1212 m at constant speed in 3030 s. Find the power of the motor.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-EW4-0032 marksL1 FoundationCalculatorPower
A car's engine works at 4040 kW against a constant resistance of 16001600 N on a level road. Find the car's maximum speed.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-EW-Q011 markL1 FoundationCalculatorPower
The unit of power is the
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-EW-Q021 markL1 FoundationCalculatorPower
A vehicle with power PP moving at speed vv has driving force
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-EW-0074 marksL2 StandardCalculatorPower
A car of mass 10001000 kg works at 2424 kW against a resistance of 800800 N on level ground. Find its acceleration when its speed is 15 m s−115\ \text{m s}^{-1}.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-EW4-0043 marksL2 StandardCalculatorPower on hills
A car of mass 15001500 kg climbs a hill inclined at α\alpha, where sin⁡α=0.1\sin\alpha=0.1, at a constant speed of 12 m s−112\ \text{m s}^{-1}. The resistance to motion is 300300 N. Find the power of the engine, in watts.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-EW4-0063 marksL2 StandardCalculatorPower
A car of mass 12001200 kg moves along a level road. Its engine works at 3636 kW, and when its speed is 20 m s−120\ \text{m s}^{-1} its acceleration is 0.5 m s−20.5\ \text{m s}^{-2}. Find the resistance to motion.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-EW-0084 marksL3 ExamCalculatorPower on hills
The car (mass 10001000 kg, resistance 800800 N, power 2424 kW) climbs a hill inclined at α\alpha, where sin⁡α=0.05\sin\alpha=0.05, at constant speed. Find this speed, correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-EW4-0054 marksL3 ExamCalculatorPower on hills
A car of mass 800800 kg travels down a hill inclined at α\alpha, where sin⁡α=140\sin\alpha=\tfrac1{40}. The engine works at 1212 kW against a resistance of 500500 N. Find the car's acceleration when its speed is 20 m s−120\ \text{m s}^{-1}.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-EW-0136 marksL4 ChallengingCalculatorPower on hills
A car of mass 12001200 kg climbs a hill inclined at α\alpha, where sin⁡α=120\sin\alpha=\tfrac1{20}, working at 3030 kW against a resistance of 600600 N. Find its acceleration when its speed is 15 m s−115\ \text{m s}^{-1}, and its maximum speed up the hill.

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Salam Academy Original Practice · Proposed mark scheme