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.

Q: What topic does this question test?

This question tests Mechanics in A-Level Mathematics (syllabus code 9709). It is worth 5 marks.

Q: Which exam paper is this question from?

This question appeared in the Cambridge A-Level Mathematics Oct/Nov 2018 examination, Paper 4 Variant 1 (9709_w18_qp_41.pdf).

Question

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.

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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.

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