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CAIE A Level Mathematics 9709

Energy, work and power questions

Exam-style questions on Energy, work and power, ordered from foundation to challenge. Pick one, write your answer the way you would in the exam, and it comes back marked against the mark scheme, point by point.

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Written by Markquill to follow the Cambridge International syllabus. Markquill is independent and is not affiliated with or endorsed by Cambridge International.

  1. 2 marksFoundationA particle of mass 4 kg moves with speed 4 m/s. Find its kinetic energy in joules.
  2. 2 marksFoundationA constant horizontal force of magnitude 20 N moves a body through a distance of 10 m. Calculate the work done by the force.
  3. 2 marksFoundationA body of mass 10 kg moves with a speed of 4 m/s. Calculate its kinetic energy.
  4. 2 marksFoundationA car travels at a constant speed of 18 m/s. The driving force from the engine is 400 N. Find the power output of the engine.
  5. 2 marksFoundationA constant horizontal force of 9 N acts on a body and moves it a distance of 8 m along a straight horizontal surface. Find the work done by the force.
  6. 2 marksFoundationA car's engine provides a constant driving force of 400 N when the car is travelling at a constant speed of 20 m/s. Calculate the power output of the engine.
  7. 3 marksStandardA body of mass 2 kg slides from rest down a smooth slope. The vertical drop from the starting point to the bottom of the slope is 11.25 m. Ignoring friction,
  8. 4 marksChallengeA box of mass 8 kg is sliding on a rough horizontal surface with an initial speed of 5 m/s. The constant frictional force acting on the box is 2 N. Using the work-energy principle, find the distance, in metres, the box…
  9. 4 marksChallengeAn object of mass 7 kg is moving on a rough horizontal surface with initial speed 8 m/s. A constant friction force of 4 N acts on the object. Using the work-energy principle, find the distance travelled by the object…