Practise questions · Salam Academy

SA-9709-P4-FE-0013 marksL1 FoundationCalculatorResolving

Forces of

3

N due east and

4

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.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-FE1-0012 marksL1 FoundationCalculatorResolving

A force of

50

N acts at

40^\circ

above the horizontal. Find its horizontal and vertical components, correct to 3 significant figures.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-FE1-0042 marksL1 FoundationCalculatorTypes of force

A box of mass

4

kg rests on a horizontal table. A string attached to the top of the box pulls vertically upwards with tension

15

N, but the box stays on the table. Find the normal reaction.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-FE1-0051 markL1 FoundationCalculatorTypes of force

A book rests on a table. By Newton's third law, the force paired with the weight of the book is

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-FE1-0072 marksL1 FoundationCalculatorResolving

Two forces of

8

N and

P

N act at right angles. Their resultant has magnitude

17

N. Find

P

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-FE-G012 marksL1 FoundationCalculatorResolving

A force of

20

N acts at

30^\circ

above the horizontal. Find its horizontal and vertical components, correct to 3 significant figures.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-FE-Q011 markL1 FoundationCalculatorTypes of force

Taking

g=10\ \text{m s}^{-2}

, the weight of a

2

kg mass is

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-FE-0113 marksL2 StandardCalculatorResolving

Two forces of

10

N and

6

N act at a point, with an angle of

60^\circ

between their directions. Find the magnitude of their resultant.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-FE1-0024 marksL2 StandardCalculatorResolving

Forces

(5\mathbf{i}+2\mathbf{j})

N,

(3\mathbf{i}-8\mathbf{j})

N and

(-2\mathbf{i}+3\mathbf{j})

N act on a particle. Find the magnitude of the resultant, and the angle it makes with

\mathbf{i}

(in degrees, to 1 decimal place, below the

\mathbf{i}

direction).

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-FE1-0063 marksL2 StandardCalculatorResolving

A force has horizontal component

12

N and vertical component

5

N. Find its magnitude and the angle it makes with the horizontal, in degrees to 1 decimal place.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-FE1-0082 marksL2 StandardCalculatorTypes of force

A block of mass

6

kg rests on a horizontal floor. It is pulled by a force of

20

N at

30^\circ

above the horizontal and does not move. Find the normal reaction.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-FE1-0094 marksL3 ExamCalculatorResolving

Two forces, each of magnitude

10

N, act on a particle. One acts due east and the other at

60^\circ

north of east. Find the magnitude of the resultant (3 s.f.) and its direction, as an angle north of east.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P4-FE1-0036 marksL4 ChallengingCalculatorResolving

Forces of

10

N,

8

N and

6

N act on a particle in directions

0^\circ

,

90^\circ

and

225^\circ

, measured anticlockwise from the positive

x

-axis. Find the magnitude of the resultant (3 s.f.) and the angle it makes with the positive

x

-axis (1 d.p.).

Salam Academy Original Practice · Proposed mark scheme

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