Work, energy and power questions

Questions to attempt

3 questions on Work, energy and power, each with its mark scheme and worked method. Reveal the answer when you have had a go.

1. FM1-2.1 · Kinetic and potential energy, work and power. The work-energy principle. The principle of conservation of mechanical energy.

   Q1

   ORIGINAL

   Year 1

   Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

   1.

   A $1200\,\text{kg}$ car climbs a road inclined at $5^\circ$ to the horizontal at a constant speed of $20\,\text{m s}^{-1}$. The resistance is $400\,\text{N}$. Taking $g=9.8\,\text{m s}^{-2}$, find the engine power.

   (4)

   (Total for Question 1 is 4 marks)

   Reveal answer and method

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2. FM1-2.1 · Kinetic and potential energy, work and power. The work-energy principle. The principle of conservation of mechanical energy.

   Q2

   ORIGINAL

   Year 1

   Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

   2.

   A $1200\,\text{kg}$ car increases its speed from $10\,\text{m s}^{-1}$ to $14\,\text{m s}^{-1}$. Calculate the net work done on the car.

   (2)

   (Total for Question 2 is 2 marks)

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3. FM1-2.1 · Kinetic and potential energy, work and power. The work-energy principle. The principle of conservation of mechanical energy.

   Q3

   ORIGINAL

   Year 1

   Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

   3.

   A $2\,\text{kg}$ particle moves along a horizontal line. A constant driving force of $20\,\text{N}$ acts forwards while the resistance after displacement $x\,\text{m}$ is $(2+0.5x)\,\text{N}$. Its speed at $x=0$ is $3\,\text{m s}^{-1}$. Find its speed when $x=8$.

   (5)

   (Total for Question 3 is 5 marks)

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FM1-2 Work, energy and power revision notes