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.
- (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]
- (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]
- (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]
- (b)(ii)1.As the speed of the ship decreases, its deceleration changes. Suggest and explain how the deceleration changes.[2]
- (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]
- (b)(ii)3.Explain how the distance travelled by the ship may be determined from the speed-time graph.[2]
- (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]
- (c)(ii)Calculate the rate at which energy is wasted in the engines. rate at which energy is wasted = [2]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2017). The mark or mark type is shown in brackets.
- [C1] (WD) = Fx or 2.8 × 10⁶ × 9.7
- [A1] 2.7 × 10⁷ J
- [B1] from chemical (potential energy)
- [B1] to thermal (energy) / heat
- [C1] (a = )F/ m or 2.8 × 10⁶ / 2.2 × 10⁸
- [A1] 0.013 m/s²
- [B1] deceleration / it decreases
- [B1] resistive force decreases or resistive force depends on speed
- [B1] curve/line from 9.7 to zero and gradient negative (allow zero at end)
- [B1] magnitude of gradient decreasing
- [B1] area mentioned
- [B1] area under line / curve or convert cm² (of graph paper) to distance or in terms of the scales
- [B1] (efficiency = ) useful energy output / total energy input or useful power output / total power input
- [C1] 33 x 0.64 or 12 MJ/s
- [A1] 21 MJ/s
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