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Work done and energyAQA A-Level Further Maths: Mind map

Work done
Kinetic energy

Work and energy

conservation of energy

W = FdKEGPE
GPE
Conservation
Rough plane

Exam questions on Work done and energy

  1. A crate of mass 20 kg is pulled in a straight line across a horizontal floor by a horizontal force of 70 N. The crate moves 12 m. A constant resistance of 30 N opposes the motion.
    The crate starts from rest. Find its speed after it has moved 12 m.2 marks
  2. A ball of mass 0.4 kg is thrown vertically upwards from ground level with an initial speed of 14 m s−114\text{ m s}^{-1}. Air resistance may be ignored. Take g=9.8 m s−2g=9.8\text{ m s}^{-2}.
    Use conservation of energy to find the speed of the ball when it is 6 m above the ground.2 marks
  3. A skier of mass 70 kg starts from rest at the top of a straight slope inclined at 20∘20^\circ to the horizontal and slides 80 m down the slope. A constant resistance of 50 N acts up the slope. Take g=9.8 m s−2g=9.8\text{ m s}^{-2}.
    Find the speed of the skier at the bottom of the slope.3 marks
See the full worksheet

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).