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Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

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13 questions

SA-9709-P4-FE-0072 marksL1 FoundationCalculatorInclined planes
A particle of mass 33 kg is held at rest on a smooth plane inclined at 25∘25^\circ by a force PP acting up the plane, parallel to it. Find PP, correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-FE4-0014 marksL1 FoundationCalculatorInclined planes
A particle of mass 44 kg is held at rest on a smooth plane inclined at 35∘35^\circ by a force PP N acting up the plane, parallel to it. Find PP and the normal reaction, each correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-FE4-0053 marksL1 FoundationCalculatorInclined planes
A particle of mass 22 kg rests on a plane inclined at α\alpha to the horizontal, where tan⁡α=34\tan\alpha=\tfrac34. Find the component of its weight down the plane and the normal reaction.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-FE4-0071 markL1 FoundationCalculatorRough slopes
A block on a rough slope is held by a force PP up the slope, and is on the point of moving up. Friction acts
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-FE-Q031 markL1 FoundationCalculatorInclined planes
For a particle of mass mm on a plane inclined at α\alpha, the component of its weight down the plane is
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-FE-0064 marksL2 StandardCalculatorInclined planes
A block of mass 22 kg rests in equilibrium on a rough plane inclined at 30∘30^\circ. Find the friction force, the normal reaction (3 s.f.), and the least possible value of μ\mu (3 s.f.).

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-FE4-0023 marksL2 StandardCalculatorRough slopes
A block of mass 33 kg rests on a rough plane inclined at 25∘25^\circ and is on the point of slipping down it. No other force acts apart from weight, normal reaction and friction. Find μ\mu, correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-FE4-0064 marksL2 StandardCalculatorRough slopes
A block of mass 1010 kg rests on a rough plane inclined at α\alpha, where sin⁡α=0.28\sin\alpha=0.28 and cos⁡α=0.96\cos\alpha=0.96. The coefficient of friction is 0.50.5. Find the greatest possible friction and the actual friction force.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-FE-0085 marksL3 ExamCalculatorInclined planes
A particle of mass 33 kg is held at rest on a smooth plane inclined at 25∘25^\circ by a horizontal force PP. Find PP and the normal reaction, each correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-FE-0096 marksL3 ExamCalculatorRough slopes
A block of mass 66 kg is on a rough plane inclined at 20∘20^\circ, with μ=0.2\mu=0.2. A force PP acts up the plane, parallel to it. Find the least and greatest values of PP for which the block stays at rest, each correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-FE4-0034 marksL3 ExamCalculatorRough slopes
A block of mass 55 kg is on a rough plane inclined at 30∘30^\circ, with μ=0.2\mu=0.2. A force PP N acts up the plane, parallel to it, and the block is on the point of moving up the plane. Find PP, correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-FE4-0044 marksL3 ExamCalculatorRough slopes
The block in the previous question (55 kg, 30∘30^\circ, μ=0.2\mu=0.2) is now on the point of slipping down the plane while held by a force PP N acting up the plane. Find PP, correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-FE-0137 marksL5 ExtensionCalculatorRough slopes
A particle of mass 55 kg is on a rough plane inclined at 30∘30^\circ, with μ=0.3\mu=0.3. It is held by a horizontal force PP and is on the point of slipping down the plane. Find PP, correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme