Practise

Question bank

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

TopicSkillDifficulty

12 questions

SA-9702-PQ3-0011 markL1 FoundationCalculatorResolving

20

N force acts at

30^\circ

above the horizontal. Calculate its horizontal component.

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SA-9702-PQ3-0021 markL1 FoundationCalculatorResolving

Calculate the vertical component of the same

20

N force at

30^\circ

above the horizontal.

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SA-9702-PQ3-0031 markL1 FoundationCalculatorAdding vectors

Forces of

6.0

N and

8.0

N act at right angles. Calculate the magnitude of the resultant.

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SA-9702-PQ3-0041 markL1 FoundationCalculatorAdding vectors

For the same forces (

6.0

N and

8.0

N at right angles), calculate the angle between the resultant and the

8.0

N force.

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SA-9702-PQ3-0061 markL1 FoundationCalculatorAdding vectors

Which quantity is a vector?

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SA-9702-PQ3-0121 markL1 FoundationCalculatorAdding vectors

Which list contains only scalar quantities?

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SA-9702-PQ3-0052 marksL2 StandardCalculatorAdding vectors

Two

5.0

N forces act from the same point with an angle of

60^\circ

between them. Calculate the magnitude of their resultant.

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SA-9702-PQ3-0072 marksL2 StandardCalculatorAdding vectors

An aircraft heads due north at

200

m s⁻¹ relative to the air. The wind blows due east at

50

m s⁻¹. Calculate the aircraft's resultant speed relative to the ground.

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SA-9702-PQ3-0082 marksL2 StandardCalculatorResolving

10.0

kg block rests on a slope inclined at

30^\circ

to the horizontal. Calculate the component of its weight acting down the slope. (

g=9.81

m s⁻²)

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SA-9702-PQ3-0092 marksL2 StandardCalculatorResolving

For the same block, calculate the component of its weight perpendicular to the slope.

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SA-9702-PQ3-0101 markL2 StandardCalculatorAdding vectors

Forces of

3

N and

4

N act on a point in any directions. Which could not be the magnitude of their resultant?

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SA-9702-PQ3-0113 marksL3 ExamCalculatorAdding vectors

Three forces act on a particle in equilibrium:

3.0

N due east,

4.0

N due north, and a third force

F

. Determine (a) the magnitude of

F

(b) the angle

F

makes below the westward direction, in degrees.

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