A-LevelMathematicsMechanics9709/41 · Oct/Nov 2018 · Q35 Marks

A van of mass 2500kg descends a hill of length 0.4 km inclined at 4° to the horizontal. There is a constant resistance to motion of 600 N and the speed of the van increases from 20 m s⁻¹ to 30 m s⁻¹ as it descends the hill. Find the work done by the van's engine as it descends the hill.

(a)A van of mass 2500kg descends a hill of length 0.4 km inclined at 4° to the horizontal. There is a constant resistance to motion of 600 N and the speed of the van increases from 20 m s⁻¹ to 30 m s⁻¹ as it descends the hill. Find the work done by the van's engine as it descends the hill.[5]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.

[M1] KE gained or PE lost attempted
[A1] Both KE and PE correct
[M1] Using work-energy equation in the form WD by engine + PE lost = WD against F + KE gain
[A1] Work-energy equation all correct
[A1] Work done = 167 000 J (167 435.2...)

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Topic: Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source: A-Level Mathematics, Oct/Nov 2018 Paper 4 Variant 1, question 3.

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