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CAIE A-Level Physics AS 4 Forces Density and Pressure Questions

Practise analysing moments, couples, equilibrium, centres of gravity, density, pressure, hydrostatic relations and upthrust from diagrams and measurements.

Syllabus
2028–2030
Course
Physics 9702
Level
AS

Exam points

  • calculate moments and couples and use the principle of moments to analyse turning effects in rigid bodies
  • resolve and combine forces, applying equilibrium conditions to supported or suspended systems
  • use centre of gravity and line-of-action reasoning to assess balance and stability
  • calculate density and pressure from measured quantities and interpret their units and geometry
  • apply hydrostatic pressure and upthrust relationships to explain and calculate forces in fluids

Covered syllabus points

4.1 Turning effects of forces4.2 Equilibrium of forces4.3 Density and pressure

Question 1

[Maximum number: 1]

What is the centre of gravity of an object?

A

the geometrical centre of the object

B

the point at which the weight of the object may be considered to act

C

the point on the object about which there is a zero net torque

D

the point where gravity acts on the object

Question 2

[Maximum number: 1]

The diagram shows a uniform rod, X Y, that is freely hinged to a vertical wall at end Y. The rod is at an angle of 60∘60^{\circ} to the wall.

Figure for Question 2 — CAIE A-Level Physics AS

A force F acts at an angle of 30∘30^{\circ} to the rod at end X. The rod has a weight of 3.0 N and is in equilibrium.

What is the magnitude of force F ?

A

0.87 N0.87 \mathrm{~N}

B

1.5 N1.5 \mathrm{~N}

C

2.6 N2.6 \mathrm{~N}

D

5.2 N5.2 \mathrm{~N}

Question 3

[Maximum number: 1]

The diagram shows the arrangement of atoms in a particular crystal.

Figure for Question 3 — CAIE A-Level Physics AS

Each atom is at the corner of a cube.
The mass of each atom is 3.5×10−25 kg3.5 \times 10^{-25} \mathrm{~kg}. The density of the crystal is 9.2×103 kg m−39.2 \times 10^{3} \mathrm{~kg} \mathrm{~m}^{-3}.
What is the shortest distance between the centres of two adjacent atoms?

A

3.8×10−29 m3.8 \times 10^{-29} \mathrm{~m}

B

6.2×10−15 m6.2 \times 10^{-15} \mathrm{~m}

C

3.4×10−10 m3.4 \times 10^{-10} \mathrm{~m}

D

3.0×10−9 m3.0 \times 10^{-9} \mathrm{~m}

Question 4

[Maximum number: 1]

A uniform beam PQ rests horizontally on a support at point S .

Figure for Question 4 — CAIE A-Level Physics AS

A rope is attached at one end of the beam. The rope is at an angle of 60∘60^{\circ} to the vertical and exerts a force F, in newtons, on the beam.

What is the moment, in Nm , of the force F about the point S ?

A

1.1 F

B

1.3 F

C

1.9 F

D

2.2F

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