A Level H2 Physics Practice Paper 1

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TuitionGoWhere Practice Paper - Physics H2 A-Level

TuitionGoWhere Practice Paper (AI) — Version 1 of 5

Subject: Physics H2
Level: A-Level
Paper: Practice Paper (Mechanics Topic Set)
Duration: 1 hour 15 minutes
Total Marks: 60
Name: ___________________________
Class: ______________
Date: ______________

Instructions

• This practice paper contains 20 questions on the topic of Mechanics (A-Level H2 syllabus 9478, Section II).
• Answer all questions in the spaces provided.
• Show all working clearly. Use SI units and appropriate notation.
• Marks for each question are shown in brackets.
• Section marks and question marks sum exactly to 60.

Section A: Foundations of Mechanics (Questions 1–5) [15 marks]

1. State the principle of conservation of linear momentum. [2]
2. A ball of mass $0.20\ \text{kg}$ is thrown vertically upward with initial speed $12\ \text{m s}^{-1}$. Calculate the maximum height reached, ignoring air resistance. [3]
3. A force of $8.0\ \text{N}$ acts on a $2.0\ \text{kg}$ block at rest on a smooth horizontal surface. Calculate the acceleration and the velocity after $4.0\ \text{s}$. [3]
4. Define centripetal force and state the direction in which it acts for an object in uniform circular motion. [2]
5. A spring of constant $k = 50\ \text{N m}^{-1}$ is stretched by $0.10\ \text{m}$. Calculate the elastic potential energy stored. [2]
6. (Note: Section A contains Q1–5 only; Q6 begins Section B.)

Section B: Motion, Collisions and Circular Motion (Questions 6–13) [24 marks]

6. A car of mass $1200\ \text{kg}$ moving at $15\ \text{m s}^{-1}$ collides with a stationary truck of mass $2400\ \text{kg}$. After collision the car moves at $3.0\ \text{m s}^{-1}$ in the same direction. Calculate the velocity of the truck. [3]
7. A $0.50\ \text{kg}$ mass oscillates on a spring ($k = 200\ \text{N m}^{-1}$) with amplitude $0.080\ \text{m}$. Calculate (a) the period, (b) the maximum acceleration, (c) the speed when displacement is $0.050\ \text{m}$. [5]
8. A stone is tied to a string of length $0.80\ \text{m}$ and whirled in a horizontal circle at $2.0$ revolutions per second. Calculate the centripetal acceleration. [3]
9. A projectile is launched horizontally from a cliff of height $45\ \text{m}$ with speed $20\ \text{m s}^{-1}$. Calculate the time to reach the ground and the horizontal distance travelled. [4]
10. State two differences between an elastic and an inelastic collision. [2]

Image pending generation: graph for Q11.

Using the graph in Q11-fig1, calculate the total distance travelled by the vehicle. [3]
12. A disc rotates with angular velocity $\omega = 4.0\ \text{rad s}^{-1}$. A point on the rim at radius $0.15\ \text{m}$ has what linear speed and centripetal acceleration? [2]
13. Explain why a passenger feels pushed outward in a turning car, with reference to Newton's laws. [2]

Section C: Gravitational Fields and Oscillations (Questions 14–20) [21 marks]

14. State Newton's law of gravitation in words. [2]
15. Calculate the gravitational field strength at the surface of Earth ($M = 6.0\times10^{24}\ \text{kg}$, $R = 6.4\times10^{6}\ \text{m}$, $G = 6.67\times10^{-11}\ \text{N m}^2\text{kg}^{-2}$). [3]
16. A satellite orbits Earth at radius $2.0\times10^{7}\ \text{m}$. Calculate its orbital speed. (Use $GM = 4.0\times10^{14}\ \text{N m}^2\text{kg}^{-1}$.) [3]
17. For a simple harmonic oscillator, displacement is $x = x_0\sin(\omega t)$. Show that acceleration $a = -\omega^2 x$. [3]
18. A pendulum of length $1.0\ \text{m}$ has small oscillations. Calculate its period. ($g = 9.8\ \text{m s}^{-2}$.) [2]
19. Describe the energy interchange in SHM between kinetic and potential stores, with reference to displacement. [3]

Image pending generation: experimental_setup for Q20.

State two precautions to improve accuracy in the experiment shown in Q20-fig1. [2]

End of Paper — Total Marks: 60

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TuitionGoWhere Practice Paper — Answer Key (Version 1)

Subject: Physics H2 A-Level
Topic: Mechanics
Total Marks: 60

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Section A (Q1–5) — 15 marks

Q1 [2 marks]
Principle: In a closed (isolated) system, total momentum before an event equals total momentum after, provided no net external force acts.
Marking: 1 mark for system/condition, 1 mark for before=after.

Q2 [3 marks]
Use $v^2 = u^2 + 2as$, at top $v=0$, $a=-g=-9.8\ \text{m s}^{-2}$:
$0 = 12^2 + 2(-9.8)s \Rightarrow s = 144 / 19.6 = 7.35\ \text{m}$.
Marks: 1 formula, 1 substitution, 1 answer.

Q3 [3 marks]
$a = F/m = 8.0/2.0 = 4.0\ \text{m s}^{-2}$.
$v = u+at = 0 + 4.0\times4.0 = 16\ \text{m s}^{-1}$.
Marks: 1 acc, 1 vel, 1 units.

Q4 [2 marks]
Centripetal force is the resultant force causing circular motion, directed toward centre.
Marks: 1 def, 1 direction.

Q5 [2 marks]
$E_p = \frac{1}{2}kx^2 = 0.5\times50\times0.10^2 = 0.25\ \text{J}$.
Marks: 1 formula, 1 answer.

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Section B (Q6–13) — 24 marks

Q6 [3 marks]
Conservation: $m_c u_c + m_t u_t = m_c v_c + m_t v_t$
$1200(15)+0 = 1200(3)+2400 v_t \Rightarrow 18000=3600+2400v_t$
$v_t = 6.0\ \text{m s}^{-1}$.
Marks: 1 eq, 1 calc, 1 ans.

Q7 [5 marks]
(a) $T = 2\pi\sqrt{m/k} = 2\pi\sqrt{0.5/200} = 0.314\ \text{s}$ (2)
(b) $a_{max}=\omega^2 A = (k/m)A = (200/0.5)(0.080)=32\ \text{m s}^{-2}$ (1)
(c) $\omega = \sqrt{k/m}=20\ \text{rad s}^{-1}$, $v=\omega\sqrt{A^2-x^2}=20\sqrt{0.08^2-0.05^2}=12.6\ \text{m s}^{-1}$ (2)

Q8 [3 marks]
$f=2.0\ \text{Hz}, \omega=2\pi f=12.57\ \text{rad s}^{-1}$
$a_c = r\omega^2 = 0.80\times(12.57)^2 = 126\ \text{m s}^{-2}$.
Marks: 1 ω, 1 calc, 1 ans.

Q9 [4 marks]
Vertical: $s=45=\frac{1}{2}gt^2 \Rightarrow t=\sqrt{90/9.8}=3.03\ \text{s}$ (2)
Horizontal: $d = vt = 20\times3.03 = 60.6\ \text{m}$ (2)

Q10 [2 marks]
Elastic: KE conserved, relative speed of separation = approach. Inelastic: KE not conserved, objects may stick.
1 mark each.

Q11 [3 marks]
Graph areas: accelerate triangle $0.5\times10\times20=100\ \text{m}$; constant $20\times20=400\ \text{m}$; decel triangle $0.5\times10\times20=100\ \text{m}$. Total $=600\ \text{m}$.
Marks: 1 each segment or 3 for total with working.

Q12 [2 marks]
$v = r\omega = 0.15\times4.0 = 0.60\ \text{m s}^{-1}$; $a = v^2/r = 0.36/0.15 = 2.4\ \text{m s}^{-2}$.
1 each.

Q13 [2 marks]
Passenger tends to continue straight (Newton 1); seat provides inward force; feeling of outward push is fictitious (from accelerating frame).
1 each point.

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Section C (Q14–20) — 21 marks

Q14 [2 marks]
Force between two point masses ∝ product of masses / square of separation, attractive along line joining.
1 prop, 1 direction.

Q15 [3 marks]
$g = GM/R^2 = (6.67\times10^{-11}\times6.0\times10^{24})/(6.4\times10^6)^2 = 9.8\ \text{N kg}^{-1}$.
1 formula, 1 sub, 1 ans.

Q16 [3 marks]
$v=\sqrt{GM/r} = \sqrt{4.0\times10^{14}/2.0\times10^7} = \sqrt{2.0\times10^7}=4470\ \text{m s}^{-1}$.
1 eq, 1 calc, 1 ans.

Q17 [3 marks]
$x=x_0\sin\omega t$; $v=dx/dt = x_0\omega\cos\omega t$; $a=dv/dt = -x_0\omega^2\sin\omega t = -\omega^2 x$.
1 diff, 1 diff, 1 sub.

Q18 [2 marks]
$T=2\pi\sqrt{L/g}=2\pi\sqrt{1.0/9.8}=2.01\ \text{s}$.
1 formula, 1 ans.

Q19 [3 marks]
At extremes displacement max → PE max, KE zero; at centre x=0 → KE max, PE min; continuous interchange, total constant.
1 extreme, 1 centre, 1 total.

Q20 [2 marks]
Precautions: (1) measure amplitude from equilibrium with eye level to avoid parallax; (2) use small oscillations to approximate SHM.
1 each.

Total: 60 marks.