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AS Forces and MotionEnergy & Power 3.3.1(a)3.3.2(a)3.2.1(a)3.2.2(a)3.4.1.2(a)
~15 min Difficulty: 5/10 10 marks
Prior knowledge Newton’s second lawwork donepower
Problem structure
Part (a): acceleration from tension and weight (3 marks). Part (b): power at constant speed (2 marks). Part (c): work done during deceleration (3 marks). Part (d): power comparison (2 marks).

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A lift of total mass 6.0 × 10² kg is accelerated vertically upwards from rest by a cable tension of 6.6 × 10³ N.
(a) 3 marks
Calculate the acceleration of the lift.
(b) 2 marks
The lift reaches a constant speed of 3.0 m s⁻¹. Calculate the power output of the motor when the lift is travelling at this constant speed.
(c) 3 marks
The lift then decelerates uniformly to rest over a vertical distance of 4.5 m. Calculate the work done by the cable tension during this deceleration.
(d) 2 marks
State and explain whether the power output of the motor is greater when the lift is accelerating upwards or when it is moving upwards at constant speed.
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