Year 13 forces in two dimensions and friction test to download as PDF

This Year 13 forces in two dimensions and friction test lasts 40 minutes and is marked out of 20. It covers the whole chapter for pupils aged 17-18, and the full answers are on a separate page.

⏱️ Duration : 40 min
🎯 Total : 20 marks
❓ 5 questions

Mark/20

Question 1 – Resolving and resultant
Two forces act on a particle. One is 15 N due east and the other is 10 N at \(50^\circ\) north of east.
1. Find the resultant force: its magnitude and its direction. [4 marks]
Question 2 – A framed picture
A picture of weight 60 N hangs from two light strings that make angles of \(35^\circ\) and \(55^\circ\) with the horizontal. Find the tension in each string.
Question 3 – A crate pulled by a rope
A crate of mass 12 kg is on a rough horizontal floor with coefficient of friction 0.3. It is pulled by a rope with tension 40 N at \(30^\circ\) above the horizontal. Take \(g=9.8\) m s\(^{-2}\).
1. Find the normal reaction. [2 marks]
2. Find the maximum friction and show that the crate moves. [2 marks]
3. Find the acceleration. [1 mark]
Question 4 – On a slope
A block of mass 5 kg is placed on a rough plane inclined at \(35^\circ\) to the horizontal. The coefficient of friction is 0.4.
1. Show that the block slides. [2 marks]
2. Find its acceleration. [2 marks]
Question 5 – Connected particles
A particle of mass 3 kg on a smooth horizontal table is connected by a light string over a smooth pulley to a particle of mass 2 kg hanging freely. Find the acceleration and the tension.

How to use this Year 13 forces in two dimensions and friction test

First, revise with the forces in two dimensions and friction lesson and the worksheet. Then sit the test in one go, with a timer set to 40 minutes. After that, mark your work with the forces in two dimensions and friction test answers. If you lose marks on a question, redo it the next day without help.

Finally, you can download this Year 13 forces in two dimensions and friction test as a PDF and print it like a real exam paper. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.

Forces in two dimensions and friction – Year 13 A level maths test to download as PDF

Question 1 – Resolving and resultant

Question 2 – A framed picture

Question 3 – A crate pulled by a rope

Question 4 – On a slope

Question 5 – Connected particles

How to use this Year 13 forces in two dimensions and friction test

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