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GCSE & A-Level Maths

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A-Level MathsEdexcel
5 marks

Question

A particle of mass 5 kg rests on a rough plane inclined at 30° to the horizontal. A force T newtons acts up the plane. Given that the particle is on the point of moving up the plane, find the value of T.

Force diagram: particle on an inclined plane

Worked solution

  1. Resolve perpendicular to the plane: R = 5g cos 30°.
  2. On the point of moving, friction F = μR acts down the plane.
  3. Resolve up the plane: T = 5g sin 30° + μ·5g cos 30°.
Tutor marked your photoSelf-marked: 4 / 5

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  2. STEP 2

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  3. STEP 3

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What you get

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The mark scheme is broken into yes/no points, one per mark. You decide what you earned — the skill the exam really tests.

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FAQ

Questions, answered honestly.

Is examjuice affiliated with any exam board?
No. examjuice is independent and not endorsed by AQA, Edexcel, or any other board. Questions are AI-generated to reflect the style and mark-scheme conventions of those boards, but they are not past papers.
How much can I really trust AI-generated questions?
Treat them like any practice resource: a tool, not a textbook. Every question ships with a full worked solution, and you award your own marks against the scheme. Practising is completely free and unlimited, so you can see exactly what you're getting before paying anything — you only pay if you want AI photo-marking.
Which subjects and exam boards are supported?
Maths only: GCSE (AQA), AS (AQA), and A-Level (Edexcel). examjuice is built around Maths and that's the focus.
How does the marking work?
You work the question on paper. Then the worked solution and mark scheme appear, broken into one yes/no point per mark — you tick what you earned. It's the same skill the exam tests: knowing where the marks come from. On Plus, you can also photograph your working and the Tutor marks it against the scheme for you.
What is ExamJuice Tutor?
An AI maths tutor included with Plus. Ask for a hint or an explanation of any step, highlight part of the worked solution for targeted help, or photograph your handwritten answer and it marks it against the mark scheme — aiming to be generous on messy handwriting and careful on the maths.
Can I cancel any time?
Yes. Subscriptions are monthly. Cancel from your dashboard and you keep access until the end of the paid period. No emails, no calls.

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Questions generated by AI. Not affiliated with any exam board.