AS Level · Physics 9702 · Mechanics & materials

Physical quantities & units: AS Level Physics questions with answers

Free Physical quantities & units questions for AS Level Physics (9702), part of Mechanics & materials. Each question has the answer and the marking points an examiner would look for.

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Physical quantities & units practice questions

Question 1Multiple choice · 1 markA* challenge

Which row correctly classifies the four quantities?

vectorscalar
Akinetic energy and weightmomentum and power
Bmomentum and weightkinetic energy and power
Cweight and powermomentum and kinetic energy
Dmomentum and powerkinetic energy and weight
Show answer

Answer: B

Question 2Multiple choice · 1 mark

Which estimate is closest to the power of a domestic kettle?

  1. A 20 kW
  2. B 2 kW
  3. C 200 W
  4. D 20 W
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Answer: B

Question 3Multiple choice · 1 mark

Which statement describes homogeneous equation?

  1. A An error that shifts all readings from the true value by the same amount
  2. B Power per unit area
  3. C An equation in which the base units on each side are the same
  4. D No net transfer of thermal energy between objects
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Answer: C

Question 4Structured · 8 marksA* challenge

A quantity Q is determined using Q = mLT2. The measurements are m = (0.36 ± 0.01) kg, L = (1.160 ± 0.005) m and T = (2.33 ± 0.02) s.

(a)

Determine the SI base units of Q.

[1]
(b)

Calculate Q and its absolute uncertainty. Give your answer to an appropriate number of significant figures.

[4]
(c)

Distinguish between systematic and random errors, and state how each can be reduced.

[3]
Show answers and mark scheme
PartAnswer and marking pointsMarks
(a)kg m s−2
kg m s−2 B1
1
(b)0.0769 ± 0.004
Q = 0.0769 C1
percentage uncertainties added, with T doubled C1
4.9% C1
± 0.004, consistent s.f. A1
4
(c)systematic: readings all too high or too low by the same amount (e.g. zero error), reduced by correcting the instrument; random: scatter about the true value, reduced by repeating and averaging
systematic: consistent shift from true value B1
random: scatter about true value B1
correct method for reducing each B1
3
Question 5Structured · 4 marks

A student measures the distance d moved by a trolley as (5.20 ± 0.02) m in a time t of (1.60 ± 0.05) s.

(a)

Calculate the average speed of the trolley.

[1]
(b)

Calculate the percentage uncertainty in the average speed.

[2]
(c)

State the speed with its absolute uncertainty, to an appropriate number of significant figures.

[1]
Show answers and mark scheme
PartAnswer and marking pointsMarks
(a)3.25 m s−1
3.25 m s−1 B1
1
(b)3.5%
sum of percentage uncertainties C1
3.5% A1
2
(c)3.3 ± 0.1 m s−1
3.3 ± 0.1 m s−1 B1
1
Question 6Structured · 11 marks

A student determines g using a simple pendulum: g = 4π2LT2. She measures L = 1.200 ± 0.002 m and T = 1.80 ± 0.02 s.

(a)

State the difference between a systematic error and a random error.

[2]
(b)

Calculate the value of g.

[1]
(c)

Calculate the percentage uncertainty in g.

[2]
(d)

State g with its absolute uncertainty to an appropriate number of significant figures.

[2]
(e)

Explain why timing 20 oscillations reduces the percentage uncertainty in T.

[2]
(f)

Show that the equation is homogeneous with respect to SI base units.

[2]
Show answers and mark scheme
PartAnswer and marking pointsMarks
(a)systematic: same size and sign each reading (e.g. zero error); random: scatter about mean
systematic error: readings shifted by the same amount / in the same direction (e.g. zero error) B1
random error: unpredictable scatter of readings about the mean B1
2
(b)14.6 m s−2
14.6 m s−2 B1
1
(c)2.4%
%uncertainty = 0.167% + 2 × 1.11% C1
2.4% A1
2
(d)14.6 ± 0.3 m s−2
absolute uncertainty 0.3 C1
g = 14.6 ± 0.3 m s−2 A1
2
(e)same reaction-time uncertainty spread over 20 periods
the absolute uncertainty from reaction time stays the same B1
so divided over 20 periods the uncertainty in T is 20 times smaller B1
2
(f)m / s² = m s⁻² both sides
LHS: m s−2 B1
RHS: m / s2 = m s−2 (4π2 has no units) B1
2

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Original Cambridge-style practice questions written for mentorriyaz.in. These are not Cambridge past paper questions, and this site is not affiliated with or endorsed by Cambridge University Press & Assessment. Updated 2026-11-04. Paper generator · mentorriyaz.in