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A Level H1 Physics Mechanics Quiz
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Questions
A-Level Physics H1 Quiz - Mechanics
Name: _________________ Class: _________________ Date: _________________
Score: _____ / 50 Duration: 45 minutes
Instructions:
- Answer all questions in the spaces provided
- Show all working clearly
- Use g = 9.8 m s⁻¹ where needed
- Give answers to 3 significant figures unless otherwise stated
Section A: Short Answer Questions [15 marks]
1. State the principle of conservation of linear momentum. [2]
2. Write down expressions for: (a) momentum p in terms of mass m and velocity v [1] (b) kinetic energy K in terms of mass m and velocity v [1]
(a) p = _________________
(b) K = _________________
3. A ball is thrown horizontally from a cliff. State the direction of acceleration during flight and explain your answer. [2]
Direction: _________________
Explanation: _________________________________________________
4. Define what is meant by the moment of a force. [2]
5. Two parallel wires carry current in the same direction. State the type of force between them and sketch arrows on the diagram below to show the direction of these forces. [2]
Type of force: _________________
Wire A |||||||| Wire B
||||||||
Section B: Structured Questions [20 marks]
6. A uniform plank AB of length 4.0 m and weight 200 N rests on two supports at points 1.0 m and 3.0 m from end A. A person of weight 600 N stands at distance x from end A.
(a) Draw a diagram showing all forces acting on the plank when x = 0.5 m. Label all forces clearly. [3]
(b) Calculate the reaction force at each support when x = 0.5 m. [4]
Support at 1.0 m: _________________
Support at 3.0 m: _________________
7. A ball falls vertically through air. Air resistance increases with speed.
(a) Sketch a graph of speed against time for the ball's motion. [2]
(b) Explain the shape of your graph in terms of the forces acting on the ball. [3]
Section C: Problem Solving [15 marks]
8. Two trolleys approach each other on a horizontal track. Trolley A has mass 2.0 kg and velocity 4.0 m s⁻¹ to the right. Trolley B has mass 3.0 kg and velocity 2.0 m s⁻¹ to the left. They collide and stick together.
(a) Calculate the velocity of the combined trolleys immediately after collision. [4]
(b) Calculate the kinetic energy lost in the collision. [3]
9. A projectile is launched at 30° above the horizontal with initial speed 25 m s⁻¹ from ground level.
(a) Calculate the horizontal and vertical components of the initial velocity. [2]
Horizontal component: _________________
Vertical component: _________________
(b) Calculate the maximum height reached by the projectile. [3]
(c) Calculate the total time of flight. [3]
Answers
A-Level Physics H1 Quiz - Mechanics (Answers)
Section A: Short Answer Questions [15 marks]
1. State the principle of conservation of linear momentum. [2]
Answer: In a closed system (or when no external forces act) [1], the total momentum remains constant [1].
Alternative: The total momentum before collision equals the total momentum after collision, provided no external forces act.
2. Write down expressions for: [2]
(a) p = mv [1] (b) K = ½mv² [1]
Common error: Writing K = mv² (missing the ½ factor)
3. A ball is thrown horizontally from a cliff. [2]
Answer: Direction: Vertically downward [1] Explanation: Only gravitational force acts on the ball (ignoring air resistance), which acts vertically downward [1].
4. Define what is meant by the moment of a force. [2]
Answer: The moment of a force is the product of the force and the perpendicular distance from the line of action of the force to the pivot/axis of rotation [2].
Alternative: Moment = Force × perpendicular distance from pivot [2]
5. Two parallel wires carry current in the same direction. [2]
Answer: Type of force: Attractive [1] Diagram should show arrows pointing toward each other [1]
Section B: Structured Questions [20 marks]
6. Uniform plank problem [7]
(a) Diagram should show: [3]
- Weight of plank (200 N downward) at 2.0 m from A [1]
- Weight of person (600 N downward) at 0.5 m from A [1]
- Reaction forces (upward) at 1.0 m and 3.0 m from A [1]
(b) Calculation: [4] Taking moments about support at 1.0 m: R₂ × 2.0 = 200 × 1.0 + 600 × 0.5 [1] R₂ × 2.0 = 200 + 300 = 500 [1] R₂ = 250 N [1]
Using ΣF = 0: R₁ + R₂ = 200 + 600 = 800 R₁ = 800 - 250 = 550 N [1]
7. Ball falling through air [5]
(a) Graph should show: [2]
- Speed increasing with time but curve flattening [1]
- Eventually reaching constant speed (terminal velocity) [1]
(b) Explanation: [3] Initially, weight > air resistance, so net force downward causes acceleration [1] As speed increases, air resistance increases [1] Eventually air resistance equals weight, net force = 0, so speed becomes constant (terminal velocity) [1]
Section C: Problem Solving [15 marks]
8. Collision problem [7]
(a) Velocity after collision: [4] Taking right as positive: Initial momentum = (2.0)(4.0) + (3.0)(-2.0) = 8.0 - 6.0 = 2.0 kg m s⁻¹ [1] Final momentum = (2.0 + 3.0)v = 5.0v [1] By conservation: 5.0v = 2.0 [1] v = 0.40 m s⁻¹ to the right [1]
(b) Kinetic energy lost: [3] Initial KE = ½(2.0)(4.0)² + ½(3.0)(2.0)² = 16 + 6.0 = 22 J [1] Final KE = ½(5.0)(0.40)² = 0.40 J [1] Energy lost = 22 - 0.40 = 22 J [1]
9. Projectile motion [8]
(a) Components: [2] Horizontal: 25 cos 30° = 25 × 0.866 = 21.7 m s⁻¹ [1] Vertical: 25 sin 30° = 25 × 0.5 = 12.5 m s⁻¹ [1]
(b) Maximum height: [3] At maximum height, vertical velocity = 0 Using v² = u² + 2as: 0 = (12.5)² + 2(-9.8)h [1] 0 = 156.25 - 19.6h [1] h = 156.25/19.6 = 7.98 m ≈ 8.0 m [1]
(c) Time of flight: [3] Using s = ut + ½at² for vertical motion, s = 0 (returns to ground level) 0 = 12.5t + ½(-9.8)t² [1] 0 = t(12.5 - 4.9t) [1] t = 0 or t = 12.5/4.9 = 2.55 s ≈ 2.6 s [1]