May/June 2026 Paper 22

2026 · 6 questions · 32 parts · 60 marks

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4(a)Energy Work Power EfficiencyMedium3 marks
An electric train of mass kg travels up a slope at a constant speed, as shown in Figure 4.1.
Figure 4.1, an electric train on a straight track that slopes upward from lower left to upper right; the train's start point at the foot of the slope is labelled X and a point further up the slope is labelled Y
At point X, the train has gravitational potential energy 7.4 MJ.
At point Y, the train has gravitational potential energy 13.0 MJ.
The train takes a time of 52 s to move from X to Y.
The kinetic energy of the train is J.
Calculate the speed of the train.
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4(b)(i)Energy Work Power EfficiencyMedium1 mark
The train is powered by an electric motor. The useful output power of the motor is W.
Define power.
4(b)(ii)Energy Work Power EfficiencyMedium3 marks
Determine the resistive force acting on the train as it moves from point X to point Y.
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4(b)(iii)Energy Work Power EfficiencyMedium3 marks
The current in the motor is 95 A. The potential difference (p.d.) across the motor is 1400 V.
Calculate the percentage efficiency of the motor.
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