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Secondary 3 Physics Semestral Assessment 2 (End of Year) Paper 3

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TuitionGoWhere Practice Paper - Physics Secondary 3

TuitionGoWhere Secondary School (AI)

Subject: Physics
Level: Secondary 3
Paper: SA2 Practice Paper (Version 3 of 5)
Duration: 1 hour 15 minutes
Total Marks: 50

Name: ________________________
Class: ________________________
Date: ________________________

Instructions to Candidates:

Write your name, class, and date in the spaces provided.
Answer all questions.
Write your answers in the spaces provided in this booklet.
The number of marks is given in brackets [ ] at the end of each question or part question.
You may use a calculator.
Take the acceleration of free fall, $g = 10 \text{ m/s}^2$ .

Section A: Multiple Choice & Short Structured Questions [20 marks]

1. A student measures the diameter of a wire using a micrometer screw gauge. The main scale reads 2.5 mm and the thimble scale aligns with the 32nd division (where 1 division = 0.01 mm). What is the diameter of the wire?
A. 2.532 mm
B. 2.82 mm
C. 2.5032 mm
D. 5.70 mm

Answer: _______________ [1]

2. Which of the following pairs consists of two vector quantities?
A. Speed and Distance
B. Velocity and Acceleration
C. Mass and Weight
D. Force and Energy

Answer: _______________ [1]

3. A car travels from Town A to Town B, a distance of 60 km, in 1 hour. It then returns from Town B to Town A along the same route in 1.5 hours. What is the average speed for the entire journey?
A. 40 km/h
B. 48 km/h
C. 60 km/h
D. 75 km/h

Answer: _______________ [1]

4. The velocity-time graph below shows the motion of a cyclist.

Image pending generation for this question.

What is the total distance travelled by the cyclist?
A. 50 m
B. 100 m
C. 150 m
D. 200 m

Answer: _______________ [1]

5. A box of mass 20 kg is pushed across a rough horizontal floor with a constant horizontal force of 50 N. The box moves at a constant velocity of 2 m/s. What is the magnitude of the frictional force acting on the box?
A. 0 N
B. 20 N
C. 40 N
D. 50 N

Answer: _______________ [1]

6. A stone is dropped from the top of a cliff. Ignoring air resistance, which graph correctly represents the variation of the stone's acceleration with time?
A. A horizontal line at $a = 10 \text{ m/s}^2$
B. A straight line starting from 0 and increasing
C. A horizontal line at $a = 0 \text{ m/s}^2$
D. A curve decreasing to zero

Answer: _______________ [1]

7. Two forces, 3 N and 4 N, act on an object at right angles to each other. What is the magnitude of the resultant force?
A. 1 N
B. 5 N
C. 7 N
D. 12 N

Answer: _______________ [1]

8. A uniform metre rule is pivoted at the 50 cm mark. A weight of 2 N is hung at the 20 cm mark. Where must a weight of 3 N be hung to balance the rule?
A. 30 cm mark
B. 60 cm mark
C. 70 cm mark
D. 80 cm mark

Answer: _______________ [1]

9. Why does a sharp knife cut better than a blunt knife?
A. The sharp knife has a larger surface area, increasing pressure.
B. The sharp knife has a smaller surface area, increasing pressure.
C. The sharp knife has a larger surface area, decreasing pressure.
D. The sharp knife has a smaller surface area, decreasing pressure.

Answer: _______________ [1]

10. A hydraulic press has a small piston of area $0.01 \text{ m}^2$ and a large piston of area $0.5 \text{ m}^2$ . If a force of 50 N is applied to the small piston, what is the maximum load that can be lifted by the large piston?
A. 1 N
B. 100 N
C. 2500 N
D. 5000 N

Answer: _______________ [1]

11. A crane lifts a load of mass 500 kg vertically through a height of 20 m in 10 seconds. Calculate the power developed by the crane. ( $g = 10 \text{ m/s}^2$ )

Answer space

Answer: ________________________ W [2]

12. A ball of mass 0.5 kg is moving with a velocity of 4 m/s. Calculate its kinetic energy.

Answer space

Answer: ________________________ J [2]

13. Define the term moment of a force.

Answer space

[2]

14. State Newton’s First Law of Motion.

Answer space

[2]

15. A skydiver falls through the air. Explain why the skydiver eventually reaches a constant terminal velocity.

Answer space

[3]

Section B: Structured Questions [30 marks]

16. A student investigates the motion of a trolley rolling down an inclined plane. The trolley starts from rest. The student records the velocity of the trolley at different times.

Time (s)	0.0	0.5	1.0	1.5	2.0
Velocity (m/s)	0.0	1.5	3.0	4.5	6.0

(a) Plot a velocity-time graph for the motion of the trolley on the grid below.
(Note: In a real exam, a grid would be provided. Here, describe the plot or sketch if possible, but for this text format, assume the plot is linear.)

[3]

(b) Use your graph or the table to calculate the acceleration of the trolley.

Answer space

Acceleration = ________________________ $\text{m/s}^2$ [2]

(c) Calculate the distance travelled by the trolley in the first 2.0 seconds.

Answer space

Distance = ________________________ m [2]

(d) The mass of the trolley is 0.8 kg. Calculate the resultant force acting on the trolley.

Answer space

Force = ________________________ N [2]

17. A uniform beam AB of length 4.0 m and weight 200 N is hinged at end A to a vertical wall. The beam is held horizontal by a cable attached to end B and to the wall at a point 3.0 m above A.

(Diagram description: Right-angled triangle formed by wall, beam, and cable. Beam is horizontal base 4m. Wall is vertical height 3m. Cable is hypotenuse.)

(a) Calculate the moment of the weight of the beam about the hinge A.

Answer space

Moment = ________________________ Nm [2]

(b) The tension in the cable is $T$ . The perpendicular distance from the hinge A to the line of action of the tension is 2.4 m. Calculate the tension $T$ in the cable required to keep the beam in equilibrium.

Answer space

Tension $T$ = ________________________ N [3]

(c) State the principle of moments.

Answer space

[2]

18. A block of ice of mass 2.0 kg is sliding on a smooth horizontal surface with a speed of 5.0 m/s. It collides with a stationary block of wood of mass 3.0 kg. After the collision, the two blocks stick together and move with a common velocity $v$ .

(a) State the principle of conservation of momentum.

Answer space

[2]

(b) Calculate the common velocity $v$ of the blocks after the collision.

Answer space

$v$ = ________________________ m/s [3]

(c) Calculate the loss in kinetic energy during the collision.

Answer space

Loss in KE = ________________________ J [3]

19. A diver of mass 60 kg stands on a diving board 10 m above the water surface.

(a) Calculate the gravitational potential energy of the diver relative to the water surface.

Answer space

GPE = ________________________ J [2]

(b) The diver jumps off the board. Ignoring air resistance, calculate the speed of the diver just before entering the water.

Answer space

Speed = ________________________ m/s [3]

(c) In reality, the speed of the diver is less than the value calculated in (b). Explain why.

Answer space

[2]

20. A car of mass 1200 kg accelerates from rest to a speed of 20 m/s in 8.0 seconds.

(a) Calculate the acceleration of the car.

Answer space

Acceleration = ________________________ $\text{m/s}^2$ [2]

(b) Calculate the resultant force acting on the car.

Answer space

Force = ________________________ N [2]

(c) The driving force provided by the engine is 4000 N. Calculate the average resistive force acting on the car during this acceleration.

Answer space

Resistive Force = ________________________ N [2]

End of Paper

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Answers

TuitionGoWhere Practice Paper - Physics Secondary 3

Answer Key & Marking Scheme Paper: SA2 Practice Paper (Version 3 of 5)

Section A: Multiple Choice & Short Structured Questions

1. B
Working: Reading = Main scale + (Thimble $\times$ 0.01). $2.5 + (32 \times 0.01) = 2.5 + 0.32 = 2.82$ mm.
[1]

2. B
Reasoning: Velocity has direction; Acceleration has direction. Speed, Distance, Mass, Energy are scalars. Weight and Force are vectors, but Mass and Energy are scalars.
[1]

3. B
Working: Total Distance = $60 + 60 = 120$ km. Total Time = $1 + 1.5 = 2.5$ h. Average Speed = $120 / 2.5 = 48$ km/h.
[1]

4. C
Working: Distance = Area under v-t graph.
Area = Triangle (0-5s) + Rectangle (5-15s) + Triangle (15-20s).
Triangle 1: $0.5 \times 5 \times 10 = 25$ m.
Rectangle: $10 \times 10 = 100$ m.
Triangle 2: $0.5 \times 5 \times 10 = 25$ m.
Total = $25 + 100 + 25 = 150$ m.
[1]

5. D
Reasoning: Constant velocity means acceleration is zero. Therefore, resultant force is zero. Driving Force = Frictional Force. $F = 50$ N.
[1]

6. A
Reasoning: In free fall (ignoring air resistance), acceleration is constant ( $g \approx 10 \text{ m/s}^2$ ).
[1]

7. B
Working: Resultant $R = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5$ N.
[1]

8. C
Working: Principle of Moments: Clockwise Moment = Anticlockwise Moment.
Pivot at 50 cm.
Weight 2 N at 20 cm: Distance from pivot = $50 - 20 = 30$ cm. Moment = $2 \times 30 = 60$ Ncm (Anticlockwise).
Weight 3 N at $x$ cm: Distance from pivot = $x - 50$ cm. Moment = $3 \times (x - 50)$ (Clockwise).
$60 = 3(x - 50) \Rightarrow 20 = x - 50 \Rightarrow x = 70$ cm.
[1]

9. B
Reasoning: Pressure $P = F/A$ . Sharp knife has small Area ( $A$ ), so for same Force ( $F$ ), Pressure ( $P$ ) is higher.
[1]

10. C
Working: Pascal's Principle: $P_1 = P_2 \Rightarrow F_1/A_1 = F_2/A_2$ .
$50 / 0.01 = F_2 / 0.5$ .
$5000 = F_2 / 0.5 \Rightarrow F_2 = 5000 \times 0.5 = 2500$ N.
[1]

11. 10,000 W
Working:
Work Done = Gain in GPE = $mgh = 500 \times 10 \times 20 = 100,000$ J.
Power = Work / Time = $100,000 / 10 = 10,000$ W.
[2] (1 for Work/Energy, 1 for Power)

12. 4 J
Working:
$KE = \frac{1}{2}mv^2 = 0.5 \times 0.5 \times 4^2 = 0.25 \times 16 = 4$ J.
[2] (1 for formula/substitution, 1 for answer)

13. Moment of a force is the product of the force and the perpendicular distance from the pivot to the line of action of the force.
[2] (1 for "force $\times$ distance", 1 for "perpendicular")

14. An object remains at rest or continues to move at a constant velocity in a straight line unless acted upon by a resultant external force.
[2] (1 for "rest or constant velocity", 1 for "unless resultant force acts")

15. Initially, weight is greater than air resistance, so the skydiver accelerates downwards. As speed increases, air resistance increases. Eventually, air resistance equals weight. The resultant force becomes zero, so acceleration becomes zero, and the skydiver falls at a constant terminal velocity.
[3] (1 for initial acceleration/forces unbalanced, 1 for air resistance increases with speed, 1 for forces balance/resultant zero)

Section B: Structured Questions

16. Motion of a Trolley

(a) Graph:

Axes labelled correctly (Time/s, Velocity/m/s).
Points plotted correctly from table.
Straight line drawn through points starting from origin.
[3] (1 for labels, 1 for points, 1 for line)

(b) Acceleration:
Gradient of graph = $\frac{\Delta v}{\Delta t}$ .
Using points (0,0) and (2.0, 6.0):
$a = \frac{6.0 - 0}{2.0 - 0} = 3.0 \text{ m/s}^2$ .
[2] (1 for method, 1 for answer)

(c) Distance:
Distance = Area under graph.
Area of triangle = $\frac{1}{2} \times \text{base} \times \text{height} = 0.5 \times 2.0 \times 6.0 = 6.0$ m.
[2] (1 for method, 1 for answer)

(d) Resultant Force:
$F = ma = 0.8 \times 3.0 = 2.4$ N.
[2] (1 for formula/substitution, 1 for answer)

17. Uniform Beam

(a) Moment of Weight:
Weight acts at the centre of gravity (midpoint) of the uniform beam.
Distance from hinge A = $4.0 / 2 = 2.0$ m.
Moment = Force $\times$ Distance = $200 \times 2.0 = 400$ Nm.
[2] (1 for distance identification, 1 for calculation)

(b) Tension T:
Principle of Moments: Clockwise Moment = Anticlockwise Moment.
Moment due to Weight (Clockwise) = 400 Nm.
Moment due to Tension (Anticlockwise) = $T \times \text{perpendicular distance}$ .
Given perpendicular distance = 2.4 m.
$400 = T \times 2.4$ .
$T = 400 / 2.4 = 166.67$ N.
Accept 167 N or 166.7 N.
[3] (1 for principle statement/equation, 1 for substitution, 1 for answer)

(c) Principle of Moments:
For an object in equilibrium, the sum of clockwise moments about any pivot is equal to the sum of anticlockwise moments about the same pivot.
[2] (1 for "sum clockwise = sum anticlockwise", 1 for "about same pivot/equilibrium")

18. Collision

(a) Conservation of Momentum:
In a closed system (no external forces), the total momentum before collision is equal to the total momentum after collision.
[2] (1 for "total momentum before = total momentum after", 1 for "closed system/no external forces")

(b) Common Velocity:
Total Momentum Before = $(m_1 \times u_1) + (m_2 \times u_2)$ .
$= (2.0 \times 5.0) + (3.0 \times 0) = 10.0$ kg m/s.
Total Momentum After = $(m_1 + m_2) \times v$ .
$= (2.0 + 3.0) \times v = 5.0v$ .
$10.0 = 5.0v \Rightarrow v = 2.0$ m/s.
[3] (1 for momentum before, 1 for momentum after expression, 1 for answer)

(c) Loss in KE:
KE Before = $\frac{1}{2}m_1u_1^2 + \frac{1}{2}m_2u_2^2 = 0.5 \times 2.0 \times 5.0^2 + 0 = 25$ J.
KE After = $\frac{1}{2}(m_1+m_2)v^2 = 0.5 \times 5.0 \times 2.0^2 = 0.5 \times 5.0 \times 4.0 = 10$ J.
Loss = $25 - 10 = 15$ J.
[3] (1 for KE before, 1 for KE after, 1 for difference)

19. Diver

(a) GPE:
$GPE = mgh = 60 \times 10 \times 10 = 6000$ J.
[2] (1 for formula/substitution, 1 for answer)

(b) Speed:
Conservation of Energy: Loss in GPE = Gain in KE.
$6000 = \frac{1}{2}mv^2$ .
$6000 = 0.5 \times 60 \times v^2$ .
$6000 = 30v^2$ .
$v^2 = 200$ .
$v = \sqrt{200} \approx 14.14$ m/s.
Accept 14.1 m/s.
[3] (1 for energy conservation principle, 1 for substitution, 1 for answer)

(c) Reason for lower speed:
Energy is lost to air resistance (work done against air resistance). Some GPE is converted to heat/internal energy of the air and diver, rather than entirely to kinetic energy.
[2] (1 for mention of air resistance/drag, 1 for energy dissipation/heat)

20. Car Acceleration

(a) Acceleration:
$a = \frac{v - u}{t} = \frac{20 - 0}{8.0} = 2.5 \text{ m/s}^2$ .
[2] (1 for formula/substitution, 1 for answer)

(b) Resultant Force:
$F = ma = 1200 \times 2.5 = 3000$ N.
[2] (1 for formula/substitution, 1 for answer)

(c) Resistive Force:
Resultant Force = Driving Force - Resistive Force.
$3000 = 4000 - F_{\text{resistive}}$ .
$F_{\text{resistive}} = 4000 - 3000 = 1000$ N.
[2] (1 for equation setup, 1 for answer)

End of Marking Scheme