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O-LevelPhysicsEnergy & Work5054/21 · Oct/Nov 2017 · Q915 Marks

Section B Answer two questions from this section. Answer in the spaces provided. Fig. 9.1 shows a large container ship travelling at constant speed in a straight line. [Figure 9.1] The resistive force acting on the ship is 2.8 × 10⁶ N.

  1. (a)(i)The speed of the ship is 9.7 m/s. Calculate the work done against the resistive force on the ship in 1.0s. work done = [2]
  2. (a)(ii)The engines are powered by oil. State the energy transfer that is taking place when the ship is travelling at constant speed.[2]
  3. (b)(i)The mass of the ship is 2.2 x 10⁸kg. The engines are switched off and the resistive force causes the ship to decelerate. Calculate the initial deceleration of the ship. deceleration = [2]
  4. (b)(ii)1.As the speed of the ship decreases, its deceleration changes. Suggest and explain how the deceleration changes.[2]
  5. (b)(ii)2.On Fig. 9.2, sketch a possible speed-time graph for the ship as it decelerates to rest. [Figure 9.2][2]
  6. (b)(ii)3.Explain how the distance travelled by the ship may be determined from the speed-time graph.[2]
  7. (c)(i)When the ship is travelling at a different speed, energy is being supplied to the engines at a rate of 33 MJ/s. The efficiency of the engines is 0.36 (36%). State a relationship that defines efficiency.[1]
  8. (c)(ii)Calculate the rate at which energy is wasted in the engines. rate at which energy is wasted = [2]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2017). The mark or mark type is shown in brackets.

  1. [C1] (WD) = Fx or 2.8 × 10⁶ × 9.7
  2. [A1] 2.7 × 10⁷ J
  3. [B1] from chemical (potential energy)
  4. [B1] to thermal (energy) / heat
  5. [C1] (a = )F/ m or 2.8 × 10⁶ / 2.2 × 10⁸
  6. [A1] 0.013 m/s²
  7. [B1] deceleration / it decreases
  8. [B1] resistive force decreases or resistive force depends on speed
  9. [B1] curve/line from 9.7 to zero and gradient negative (allow zero at end)
  10. [B1] magnitude of gradient decreasing
  11. [B1] area mentioned
  12. [B1] area under line / curve or convert cm² (of graph paper) to distance or in terms of the scales
  13. [B1] (efficiency = ) useful energy output / total energy input or useful power output / total power input
  14. [C1] 33 x 0.64 or 12 MJ/s
  15. [A1] 21 MJ/s

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About this question

Topic
Energy & Work, O-Level Physics (syllabus 5054). Structured question, 15 marks.
Source
O-Level Physics, Oct/Nov 2017 Paper 2 Variant 1, question 9.

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