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Practise

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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2730 questions · page 36 of 137 · choose a topic above to narrow them down

SA-9709-P4-EW4-0032 marksL1 FoundationCalculatorPower
A car's engine works at 4040 kW against a constant resistance of 16001600 N on a level road. Find the car's maximum speed.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-EW-G012 marksL1 FoundationCalculatorWork
A crate is pulled 55 m along a horizontal floor by a force of 2020 N at 30∘30^\circ above the horizontal. Find the work done by the force, correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-FE-0013 marksL1 FoundationCalculatorResolving
Forces of 33 N due east and 44 N due north act on a particle. Find the magnitude of the resultant and the angle it makes with east, in degrees to 1 decimal place.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-FE-0032 marksL1 FoundationCalculatorEquilibrium
A particle is in equilibrium under three forces: 88 N due east, 66 N due north and a third force FF. Find the magnitude of FF.

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Salam Academy Original Practice · Proposed mark scheme
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-FE1-0012 marksL1 FoundationCalculatorResolving
A force of 5050 N acts at 40∘40^\circ above the horizontal. Find its horizontal and vertical components, correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-FE1-0042 marksL1 FoundationCalculatorTypes of force
A box of mass 44 kg rests on a horizontal table. A string attached to the top of the box pulls vertically upwards with tension 1515 N, but the box stays on the table. Find the normal reaction.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-FE2-0013 marksL1 FoundationCalculatorEquilibrium
A particle is in equilibrium under the forces (4i+7j)(4\mathbf i+7\mathbf j) N, (−6i+2j)(-6\mathbf i+2\mathbf j) N and F\mathbf F. Find the magnitude of F\mathbf F, correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-FE3-0013 marksL1 FoundationCalculatorFriction
A box of mass 88 kg rests on a rough horizontal floor with μ=0.3\mu=0.3. A horizontal force of 2020 N is applied and the box does not move. Find the maximum possible friction and the actual friction force.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-FE3-0022 marksL1 FoundationCalculatorFriction
A block of mass 1010 kg on a rough horizontal floor is on the point of moving when a horizontal force of 3535 N is applied. Find μ\mu.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-FE3-0032 marksL1 FoundationCalculatorFriction
A crate of mass 1212 kg rests on a rough horizontal floor with μ=0.25\mu=0.25. Find the least horizontal force needed to make it move.

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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-FE-G012 marksL1 FoundationCalculatorResolving
A force of 2020 N acts at 30∘30^\circ above the horizontal. Find its horizontal and vertical components, correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-KM-0013 marksL1 FoundationCalculatorsuvat
A car travelling at 20 m s−120\ \text{m s}^{-1} brakes uniformly and stops in 5050 m. Find the deceleration and the time taken.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-KM-0033 marksL1 FoundationCalculatorVertical motion
A stone is dropped from rest from a height of 4545 m. Find the time to reach the ground and its speed on impact.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-KM-0043 marksL1 FoundationCalculatorGraphs
A car accelerates uniformly from rest to 12 m s−112\ \text{m s}^{-1} in 44 s, travels at 12 m s−112\ \text{m s}^{-1} for 1010 s, then decelerates uniformly to rest in 66 s. Find the initial acceleration and the total distance travelled.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-KM1-0013 marksL1 FoundationCalculatorsuvat
A particle starts from rest and moves with constant acceleration 3 m s−23\ \text{m s}^{-2}. Find its velocity and its displacement after 44 s.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-KM1-0023 marksL1 FoundationCalculatorsuvat
A car accelerates uniformly from 5 m s−15\ \text{m s}^{-1} to 17 m s−117\ \text{m s}^{-1} in 44 s. Find its acceleration and the distance travelled.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-KM2-0013 marksL1 FoundationCalculatorVertical motion
A ball is dropped from rest from a height of 8080 m. Find the time it takes to reach the ground and its speed on impact.

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Salam Academy Original Practice · Proposed mark scheme