Secondary 3 Physics Practice Paper 2

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TuitionGoWhere Practice Paper - Physics Secondary 3

TuitionGoWhere Practice Paper (AI) - Version 2

Subject: Physics
Level: Secondary 3
Paper: Practice Paper 2 of 5
Duration: 1 hour 45 minutes
Total Marks: 60
Name: ____________________ Class: __________ Date: __________

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Instructions to Candidates

1. Answer all questions.
2. Write your answers in the spaces provided.
3. For calculations, show all working clearly.
4. Use $g = 10 \text{ m s}^{-2}$ unless otherwise stated.
5. Use a calculator where necessary.

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Section A: Short Answer and Application (20 Marks)

Question 1 A ball is thrown vertically upwards. At the highest point of its trajectory, state the: (a) Velocity of the ball. [1] (b) Acceleration of the ball. [1]

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Question 2 Distinguish between a scalar quantity and a vector quantity. Provide one example of each from the study of mechanics. [2]

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Question 3 A block of mass $2.0 \text{ kg}$ is pushed across a smooth horizontal surface with a constant force of $10 \text{ N}$. Calculate the acceleration of the block. [2]

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Question 4 Explain why a passenger in a bus tends to fall forward when the bus suddenly brakes. [2]

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Question 5 A uniform meter rule is balanced at its center. A weight of $0.5 \text{ N}$ is placed at the $10 \text{ cm}$ mark. Calculate the force required to balance the rule if it is applied vertically upwards at the $80 \text{ cm}$ mark. [3]

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Question 6 Define the term pressure and state its SI unit. [2]

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Question 7 A hydraulic jack has a small piston of area $0.01 \text{ m}^2$ and a large piston of area $0.1 \text{ m}^2$. If a force of $50 \text{ N}$ is applied to the small piston, calculate the force exerted by the large piston. [3]

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Question 8 State the principle of conservation of energy. [2]

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Question 9 A $0.5 \text{ kg}$ object is lifted vertically through a height of $2 \text{ m}$. Calculate the gain in gravitational potential energy. [2]

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Section B: Structured Questions (20 Marks)

Question 10 A car of mass $1200 \text{ kg}$ accelerates uniformly from rest to a velocity of $20 \text{ m s}^{-1}$ in $8 \text{ s}$. (a) Calculate the acceleration of the car. [2] (b) Calculate the resultant force acting on the car during this acceleration. [2] (c) If the total driving force is $4000 \text{ N}$, calculate the resistive force (friction and air resistance) acting on the car. [2]

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Question 11 A wooden block of mass $1.5 \text{ kg}$ is pulled up a rough inclined plane at a constant speed. The distance moved along the plane is $4.0 \text{ m}$, and the vertical height gained is $1.2 \text{ m}$. The pulling force applied is $20 \text{ N}$. (a) Calculate the work done by the pulling force. [2] (b) Calculate the gain in gravitational potential energy of the block. [2] (c) Determine the energy lost to friction as the block moves up the plane. [2]

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Question 12 A diver jumps from a platform $10 \text{ m}$ above the water. (a) Calculate the velocity of the diver just before hitting the water, assuming no air resistance. [3] (b) Explain, in terms of forces, how the diver's acceleration changes if air resistance is taken into account. [3] (c) Define terminal velocity in the context of a falling object. [2]

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Question 13 A uniform beam of length $2.0 \text{ m}$ and weight $10 \text{ N}$ is pivoted at its center. A mass of $0.4 \text{ kg}$ is placed $0.5 \text{ m}$ to the left of the pivot. (a) Calculate the anticlockwise moment about the pivot. [2] (b) Where should a mass of $0.2 \text{ kg}$ be placed to the right of the pivot to maintain equilibrium? [3]

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Section C: Extended Analysis (20 Marks)

Question 14 A small metal sphere is released from rest in a tall cylinder filled with oil. (a) Describe the motion of the sphere from the moment it is released until it reaches a constant speed. [4] (b) Draw a free-body diagram of the sphere when it has reached terminal velocity. Label all forces. [3] (c) If the sphere were replaced by one of the same size but greater density, explain how the terminal velocity would change. [3]

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Question 15 A block is placed on a rough horizontal surface. A horizontal force $F$ is applied to the block. (a) If $F$ is less than the maximum static friction, describe the state of motion of the block. [2] (b) If $F$ is increased such that the block accelerates at $2 \text{ m s}^{-2}$, and the mass of the block is $3 \text{ kg}$ while the kinetic friction is $4 \text{ N}$, calculate the magnitude of $F$. [3] (c) Explain the difference between static friction and kinetic friction. [2]

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Question 16 A system consists of two masses $m_1 = 2 \text{ kg}$ and $m_2 = 3 \text{ kg}$ connected by a light inextensible string over a frictionless pulley (Atwood machine). (a) Calculate the acceleration of the system when released from rest. [4] (b) Calculate the tension in the string during the motion. [3]

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Answer Key - Physics Secondary 3 Practice Paper (Version 2)

Section A

Q1 (a) $0 \text{ m s}^{-1}$ [1] (b) $10 \text{ m s}^{-2}$ downwards [1]

Q2 Scalar: Magnitude only (e.g., mass, speed, distance) [1]. Vector: Magnitude and direction (e.g., weight, velocity, displacement) [1].

Q3 $F = ma \implies 10 = 2a \implies a = 5 \text{ m s}^{-2}$ [2]

Q4 Due to inertia, the passenger's body tends to maintain its state of motion (forward velocity) while the bus slows down. [2]

Q5 Pivot at $50 \text{ cm}$. Distance of $0.5 \text{ N}$ from pivot = $50 - 10 = 40 \text{ cm} = 0.4 \text{ m}$. Anticlockwise moment = $0.5 \times 0.4 = 0.2 \text{ Nm}$. Clockwise moment = $F \times (80 - 50) = F \times 0.3 \text{ m}$. $0.3F = 0.2 \implies F = 0.67 \text{ N}$ [3]

Q6 Pressure is the force acting normally per unit area [1]. SI unit: Pascal (Pa) or $\text{N m}^{-2}$ [1].

Q7 $P_1 = P_2 \implies F_1/A_1 = F_2/A_2 \implies 50/0.01 = F_2/0.1 \implies F_2 = 500 \text{ N}$ [3]

Q8 Energy cannot be created or destroyed, only transformed from one form to another [2].

Q9 $GPE = mgh = 0.5 \times 10 \times 2 = 10 \text{ J}$ [2]

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Section B

Q10 (a) $a = (v-u)/t = (20-0)/8 = 2.5 \text{ m s}^{-2}$ [2] (b) $F_{\text{net}} = ma = 1200 \times 2.5 = 3000 \text{ N}$ [2] (c) $F_{\text{net}} = F_{\text{driving}} - F_{\text{resistive}} \implies 3000 = 4000 - F_r \implies F_r = 1000 \text{ N}$ [2]

Q11 (a) $W = F \times d = 20 \times 4.0 = 80 \text{ J}$ [2] (b) $GPE = mgh = 1.5 \times 10 \times 1.2 = 18 \text{ J}$ [2] (c) Energy loss = $W_{\text{applied}} - \Delta GPE = 80 - 18 = 62 \text{ J}$ [2]

Q12 (a) $v^2 = u^2 + 2as \implies v^2 = 0 + 2(10)(10) = 200 \implies v = \sqrt{200} \approx 14.1 \text{ m s}^{-1}$ [3] (b) Initially, $a=g$. As velocity increases, air resistance (drag) increases. Net force ($W - \text{Drag}$) decreases, so acceleration decreases. [3] (c) The constant maximum velocity reached by a falling object when the drag force equals the weight. [2]

Q13 (a) $W = mg = 0.4 \times 10 = 4 \text{ N}$. Moment = $4 \times 0.5 = 2.0 \text{ Nm}$ [2] (b) $W_2 = 0.2 \times 10 = 2 \text{ N}$. $2.0 = 2 \times d \implies d = 1.0 \text{ m}$ from pivot. [3]

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Section C

Q14 (a) The sphere starts from rest and accelerates downwards. As speed increases, the viscous drag force increases. The net force decreases, causing the acceleration to decrease until it becomes zero. [4] (b) Diagram should show: Weight ($W$) acting downwards, Upthrust ($U$) and Drag ($D$) acting upwards. $W = U + D$. [3] (c) Greater density means greater weight for the same volume. A higher speed is required for the drag force to increase enough to balance the larger weight. Thus, terminal velocity increases. [3]

Q15 (a) The block remains at rest (equilibrium) because the applied force is balanced by the static friction. [2] (b) $F_{\text{net}} = ma \implies F - 4 = 3(2) \implies F - 4 = 6 \implies F = 10 \text{ N}$ [3] (c) Static friction is the force that prevents an object from starting to move; kinetic friction is the force that opposes the motion of an object already sliding. [2]

Q16 (a) $a = \frac{(m_2 - m_1)g}{m_1 + m_2} = \frac{(3-2)10}{3+2} = \frac{10}{5} = 2 \text{ m s}^{-2}$ [4] (b) For $m_1$: $T - m_1g = m_1a \implies T - 20 = 2(2) \implies T = 24 \text{ N}$ [3]