A Level H1 Physics Mechanics Quiz

A-Level Physics H1 Quiz - Mechanics

Name: ___________________________
Class: ___________________________
Date: ___________________________
Score: ___________ / 40

Duration: 60 minutes
Total Marks: 40
Topic: Mechanics (Topics 2–7: Forces & Moments, Motion & Forces, Energy & Fields, Projectile Motion, Collisions, Circular Motion & Gravitation)

Instructions:

• Answer all 20 questions.
• Show your working clearly where calculation is required.
• Use $g = 9.81\ \text{m s}^{-2}$ unless stated otherwise.
• Section A: Short structured questions (1–10). Section B: Data and graphical interpretation (11–15). Section C: Extended structured responses (16–20).

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Section A: Short Structured Questions (20 marks)

1. [2 marks] State the principle of conservation of linear momentum.

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2. [2 marks] Write down, in terms of mass $m$ and velocity $v$: (a) the linear momentum $p$ of a body, (b) the kinetic energy $K$ of the body.

(a) $p =$ ___________________
(b) $K =$ ___________________

3. [3 marks] A hockey puck has a horizontal momentum of $4.5\ \text{N s}$ and a kinetic energy of $6.0\ \text{J}$. Calculate the mass and the speed of the puck.

Mass = ___________________ kg
Speed = ___________________ $\text{m s}^{-1}$

Working:

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4. [3 marks] A uniform plank AB has length $4.0\ \text{m}$ and weight $120\ \text{N}$. It rests horizontally on two smooth supports at A and B. A child of weight $300\ \text{N}$ stands $1.0\ \text{m}$ from A.

Generated diagram for Q4.

Draw all forces acting on the plank and label them clearly.

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5. [1 mark] Two parallel wires carry currents in the same direction. On the diagram below, draw one arrow on each wire to show the direction of the magnetic force exerted by one wire on the other.

Generated diagram for Q5.

6. [2 marks] A car accelerates uniformly from rest to $20\ \text{m s}^{-1}$ in $8.0\ \text{s}$. Calculate its acceleration and the distance travelled.

Acceleration = ___________________ $\text{m s}^{-2}$
Distance = ___________________ $\text{m}$

7. [2 marks] Define the term work done by a constant force and state the unit in which it is measured.

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8. [2 marks] A ball of mass $0.20\ \text{kg}$ is thrown vertically upward with initial speed $15\ \text{m s}^{-1}$. Calculate the initial kinetic energy and the maximum height reached.

Initial $E_k$ = ___________________ J
Max height = ___________________ m

9. [2 marks] State Newton’s second law of motion in words and in the form of an equation.

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10. [2 marks] A satellite moves in a circular orbit of radius $r$ with constant speed $v$. State the direction of the net force acting on the satellite and name this force.

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Section B: Data and Graphical Interpretation (10 marks)

11. [2 marks] The table shows the variation of speed $v$ of a trolley with time $t$.

$t$ / s	0	1	2	3	4
$v$ / $\text{m s}^{-1}$	0	2	4	6	8

Plot a graph of $v$ against $t$ on the grid and determine the acceleration.

Acceleration = ___________________ $\text{m s}^{-2}$

Generated graph for Q11.

12. [2 marks] The figure shows a velocity–time graph for a cyclist.

Generated graph for Q12.

Calculate the total distance travelled by the cyclist in 12 s.

Distance = ___________________ m

13. [2 marks] A projectile is launched at $30^\circ$ above the horizontal with speed $25\ \text{m s}^{-1}$. Calculate the horizontal and vertical components of its initial velocity.

$v_x$ = ___________________ $\text{m s}^{-1}$
$v_y$ = ___________________ $\text{m s}^{-1}$

14. [2 marks] The figure shows a force–extension graph for a spring.

Generated graph for Q14.

Determine the elastic potential energy stored when extension is $0.10\ \text{m}$.

$E_p$ = ___________________ J

15. [2 marks] A body of mass $2.0\ \text{kg}$ moves in a circle of radius $3.0\ \text{m}$ at $6.0\ \text{m s}^{-1}$. Calculate its centripetal acceleration and the centripetal force.

$a_c$ = ___________________ $\text{m s}^{-2}$
$F_c$ = ___________________ N

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Section C: Extended Structured Responses (10 marks)

16. [2 marks] A block of mass $5.0\ \text{kg}$ is pulled along a horizontal surface by a force of $40\ \text{N}$ at $30^\circ$ above the horizontal. The frictional force is $10\ \text{N}$. Calculate the horizontal acceleration of the block.

$a$ = ___________________ $\text{m s}^{-2}$

17. [2 marks] Two identical railway trucks each of mass $m$ travel towards each other at speed $u$. They collide and couple together. Show that the combined wreckage is at rest after collision.

Working:

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18. [2 marks] A ball of mass $0.50\ \text{kg}$ falls $20\ \text{m}$ from rest. Calculate its speed just before impact and its momentum on impact.

$v$ = ___________________ $\text{m s}^{-1}$
$p$ = ___________________ $\text{kg m s}^{-1}$

19. [2 marks] A planet orbits a star at radius $R$ with period $T$. State Kepler’s third law in words and write the proportional relationship between $T^2$ and $R^3$.

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20. [2 marks] A pump lifts $12\ \text{kg}$ of water per second through a height of $5.0\ \text{m}$. Calculate the useful power output of the pump.

$P$ = ___________________ W </stage3_quiz_answers_md>

<stage3_quiz_answers_md>

A-Level Physics H1 Quiz - Mechanics: Answer Key

Total Marks: 40
Topic: Mechanics

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Section A

Q1 [2 marks]
Principle: In a closed (or isolated) system, the total linear momentum remains constant provided no external net force acts.
Marking: [B1] total momentum constant in closed system; [B1] no external force / net external force zero.
Teaching note: Momentum is conserved in collisions and explosions if the system is isolated. Do not confuse with energy conservation (kinetic energy is not always conserved).

Q2 [2 marks]
(a) $p = mv$ [B1]
(b) $K = \frac{1}{2}mv^2$ [B1]
Common trap: missing the $\frac{1}{2}$ in (b) or writing $E=mv^2$.

Q3 [3 marks]
Given $p = 4.5\ \text{N s}$, $K = 6.0\ \text{J}$.
Use $K = \frac{p^2}{2m} \Rightarrow m = \frac{p^2}{2K} = \frac{4.5^2}{2 \times 6.0} = \frac{20.25}{12} = 1.69\ \text{kg}$ [M1 for formula, M1 for substitution, A1 for 1.7 kg].
$v = \frac{p}{m} = \frac{4.5}{1.6875} = 2.67\ \text{m s}^{-1}$ [A1].
Mass = $1.69\ \text{kg}$, Speed = $2.67\ \text{m s}^{-1}$.

Q4 [3 marks]
Forces: weight of plank $120\ \text{N}$ down at centre (2.0 m from A); child $300\ \text{N}$ down at 1.0 m from A; $R_A$ up at A; $R_B$ up at B. [All four forces labelled = 3 marks, or 1 each].
Teaching: Plank is uniform so weight acts at midpoint. Reactions are upward at supports.

Q5 [1 mark]
Arrows pointing toward each other (attraction). [1 mark]
Note: Parallel currents in same direction attract.

Q6 [2 marks]
$a = \frac{v-u}{t} = \frac{20-0}{8.0} = 2.5\ \text{m s}^{-2}$ [1].
$s = \frac{1}{2}(u+v)t = \frac{1}{2}(0+20)(8.0) = 80\ \text{m}$ [1].

Q7 [2 marks]
Work done = force × displacement in direction of force [B1]; unit = joule (J) [B1].

Q8 [2 marks]
$E_k = \frac{1}{2}mv^2 = \frac{1}{2}(0.20)(15)^2 = 22.5\ \text{J}$ [1].
At max height, $E_k$ converted to $mgh$: $h = \frac{v^2}{2g} = \frac{225}{2 \times 9.81} = 11.5\ \text{m}$ [1].

Q9 [2 marks]
Second law: Rate of change of momentum proportional to resultant force [B1]; $F = ma$ (or $F = \frac{dp}{dt}$) [B1].

Q10 [2 marks]
Direction: toward centre of circle [1]; name: centripetal force [1].

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Section B

Q11 [2 marks]
Graph: straight line through (0,0),(1,2),(2,4),(3,6),(4,8). Acceleration = gradient = $\frac{8-0}{4-0} = 2.0\ \text{m s}^{-2}$ [2].

Q12 [2 marks]
Area = triangle (0–5 s): $\frac{1}{2} \times 5 \times 10 = 25$; rectangle (5–10 s): $5 \times 10 = 50$; triangle (10–12 s): $\frac{1}{2} \times 2 \times 10 = 10$. Total = $85\ \text{m}$ [2].

Q13 [2 marks]
$v_x = 25 \cos 30^\circ = 21.7\ \text{m s}^{-1}$ [1]; $v_y = 25 \sin 30^\circ = 12.5\ \text{m s}^{-1}$ [1].

Q14 [2 marks]
$E_p = \frac{1}{2} F x = \frac{1}{2} \times 5.0 \times 0.10 = 0.25\ \text{J}$ [2]. (Area of triangle)

Q15 [2 marks]
$a_c = \frac{v^2}{r} = \frac{36}{3.0} = 12\ \text{m s}^{-2}$ [1]; $F_c = m a_c = 2.0 \times 12 = 24\ \text{N}$ [1].

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Section C

Q16 [2 marks]
Horizontal pull = $40 \cos 30^\circ = 34.6\ \text{N}$. Net = $34.6 - 10 = 24.6\ \text{N}$.
$a = \frac{24.6}{5.0} = 4.92\ \text{m s}^{-2}$ [2].

Q17 [2 marks]
Before: momentum = $mu + m(-u) = 0$. After: $(2m)V = 0 \Rightarrow V=0$ [2]. Shows wreckage at rest.

Q18 [2 marks]
$v = \sqrt{2gh} = \sqrt{2 \times 9.81 \times 20} = 19.8\ \text{m s}^{-1}$ [1]; $p = mv = 0.50 \times 19.8 = 9.90\ \text{kg m s}^{-1}$ [1].

Q19 [2 marks]
Kepler: square of period proportional to cube of orbital radius [B1]; $T^2 \propto R^3$ [B1].

Q20 [2 marks]
Work per s = $mgh = 12 \times 9.81 \times 5.0 = 589\ \text{J s}^{-1} = 589\ \text{W}$ [2]. </stage3_quiz_answers_md>

<stage3_quiz_md>

A-Level Physics H1 Quiz - Mechanics

Name: ___________________________
Class: ___________________________
Date: ___________________________
Score: ___________ / 40

Duration: 60 minutes
Total Marks: 40
Topic: Mechanics (Topics 2–7: Forces & Moments, Motion & Forces, Energy & Fields, Projectile Motion, Collisions, Circular Motion & Gravitation)

Instructions:

• Answer all 20 questions.
• Show your working clearly where calculation is required.
• Use $g = 9.81\ \text{m s}^{-2}$ unless stated otherwise.
• Section A: Short structured questions (1–10). Section B: Data and graphical interpretation (11–15). Section C: Extended structured responses (16–20).

---

Section A: Short Structured Questions (20 marks)

1. [2 marks] State the principle of conservation of linear momentum.

---

---

2. [2 marks] Write down, in terms of mass $m$ and velocity $v$: (a) the linear momentum $p$ of a body, (b) the kinetic energy $K$ of the body.

(a) $p =$ ___________________
(b) $K =$ ___________________

3. [3 marks] A hockey puck has a horizontal momentum of $4.5\ \text{N s}$ and a kinetic energy of $6.0\ \text{J}$. Calculate the mass and the speed of the puck.

Mass = ___________________ kg
Speed = ___________________ $\text{m s}^{-1}$

Working:

---

4. [3 marks] A uniform plank AB has length $4.0\ \text{m}$ and weight $120\ \text{N}$. It rests horizontally on two smooth supports at A and B. A child of weight $300\ \text{N}$ stands $1.0\ \text{m}$ from A.

Generated diagram for Q4.

Draw all forces acting on the plank and label them clearly.

---

5. [1 mark] Two parallel wires carry currents in the same direction. On the diagram below, draw one arrow on each wire to show the direction of the magnetic force exerted by one wire on the other.

Generated diagram for Q5.

6. [2 marks] A car accelerates uniformly from rest to $20\ \text{m s}^{-1}$ in $8.0\ \text{s}$. Calculate its acceleration and the distance travelled.

Acceleration = ___________________ $\text{m s}^{-2}$
Distance = ___________________ $\text{m}$

7. [2 marks] Define the term work done by a constant force and state the unit in which it is measured.

---

8. [2 marks] A ball of mass $0.20\ \text{kg}$ is thrown vertically upward with initial speed $15\ \text{m s}^{-1}$. Calculate the initial kinetic energy and the maximum height reached.

Initial $E_k$ = ___________________ J
Max height = ___________________ m

9. [2 marks] State Newton’s second law of motion in words and in the form of an equation.

---

10. [2 marks] A satellite moves in a circular orbit of radius $r$ with constant speed $v$. State the direction of the net force acting on the satellite and name this force.

---

---

Section B: Data and Graphical Interpretation (10 marks)

11. [2 marks] The table shows the variation of speed $v$ of a trolley with time $t$.

$t$ / s	0	1	2	3	4
$v$ / $\text{m s}^{-1}$	0	2	4	6	8

Plot a graph of $v$ against $t$ on the grid and determine the acceleration.

Acceleration = ___________________ $\text{m s}^{-2}$

Generated graph for Q11.

12. [2 marks] The figure shows a velocity–time graph for a cyclist.

Generated graph for Q12.

Calculate the total distance travelled by the cyclist in 12 s.

Distance = ___________________ m

13. [2 marks] A projectile is launched at $30^\circ$ above the horizontal with speed $25\ \text{m s}^{-1}$. Calculate the horizontal and vertical components of its initial velocity.

$v_x$ = ___________________ $\text{m s}^{-1}$
$v_y$ = ___________________ $\text{m s}^{-1}$

14. [2 marks] The figure shows a force–extension graph for a spring.

Generated graph for Q14.

Determine the elastic potential energy stored when extension is $0.10\ \text{m}$.

$E_p$ = ___________________ J

15. [2 marks] A body of mass $2.0\ \text{kg}$ moves in a circle of radius $3.0\ \text{m}$ at $6.0\ \text{m s}^{-1}$. Calculate its centripetal acceleration and the centripetal force.

$a_c$ = ___________________ $\text{m s}^{-2}$
$F_c$ = ___________________ N

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Section C: Extended Structured Responses (10 marks)

16. [2 marks] A block of mass $5.0\ \text{kg}$ is pulled along a horizontal surface by a force of $40\ \text{N}$ at $30^\circ$ above the horizontal. The frictional force is $10\ \text{N}$. Calculate the horizontal acceleration of the block.

$a$ = ___________________ $\text{m s}^{-2}$

17. [2 marks] Two identical railway trucks each of mass $m$ travel towards each other at speed $u$. They collide and couple together. Show that the combined wreckage is at rest after collision.

Working:

---

18. [2 marks] A ball of mass $0.50\ \text{kg}$ falls $20\ \text{m}$ from rest. Calculate its speed just before impact and its momentum on impact.

$v$ = ___________________ $\text{m s}^{-1}$
$p$ = ___________________ $\text{kg m s}^{-1}$

19. [2 marks] A planet orbits a star at radius $R$ with period $T$. State Kepler’s third law in words and write the proportional relationship between $T^2$ and $R^3$.

---

20. [2 marks] A pump lifts $12\ \text{kg}$ of water per second through a height of $5.0\ \text{m}$. Calculate the useful power output of the pump.

$P$ = ___________________ W