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Question 1Mechanics and Motion
A cyclist travels 240 m in 40 s at a constant speed. What is the cyclist's speed?
- 9 600 m/s
- 6 m/s Correct answer.
- 0.17 m/s
- 4 m/s
Explanation
Speed is distance divided by time, so 240 m ÷ 40 s = 6 m/s. The value is a rate of change of position with time and carries units of metres per second.
Question 2Mechanics and Motion
Which quantity is a vector?
- Speed
- Displacement Correct answer.
- Time
- Distance
Explanation
A vector has both magnitude and direction. Displacement specifies how far and in which direction an object has moved from its starting point, whereas distance, speed and time are scalars.
Question 3Mechanics and Motion
A car accelerates uniformly from rest to 20 m/s in 5 s. What is its acceleration?
- 4 m/s² Correct answer.
- 0.25 m/s²
- 100 m/s²
- 5 m/s²
Explanation
Acceleration is the change in velocity divided by the time taken: (20 − 0) ÷ 5 = 4 m/s². The car gains 4 m/s of velocity every second.
Question 4Mechanics and Motion
On a distance-time graph, what does a horizontal straight line represent?
- The object decelerates uniformly
- The object accelerates uniformly
- The object moves at constant speed
- The object is stationary Correct answer.
Explanation
The gradient of a distance-time graph gives speed. A horizontal line has zero gradient, so the distance is not changing and the object is at rest.
Question 5Mechanics and Motion
Which statement is Newton's first law of motion?
- An object remains at rest or in uniform motion unless acted on by a resultant force Correct answer.
- Every action has an equal and opposite reaction
- Force equals mass times acceleration
- The weight of an object equals its mass times gravitational field strength
Explanation
Newton's first law describes inertia: without a resultant force, an object keeps its state of rest or constant velocity. The other statements describe the second law, the third law and the definition of weight.
Question 6Mechanics and Motion
What is the weight of a 60 kg student on the Earth's surface, taking g = 10 N/kg?
- 0.17 N
- 60 N
- 600 N Correct answer.
- 6 N
Explanation
Weight is the force of gravity on a mass, given by W = m × g = 60 kg × 10 N/kg = 600 N. Weight is a force and is measured in newtons.
Question 7Mechanics and Motion
A force of 30 N acts on a 6 kg trolley on a frictionless surface. What is the acceleration of the trolley?
- 5 m/s² Correct answer.
- 180 m/s²
- 0.2 m/s²
- 36 m/s²
Explanation
From Newton's second law, a = F ÷ m = 30 N ÷ 6 kg = 5 m/s². The resultant force and mass together determine the acceleration.
Question 8Mechanics and Motion
A box is pushed with 50 N to the right while friction of 20 N acts to the left. What is the resultant force on the box?
- 70 N to the right
- 30 N to the left
- 70 N to the left
- 30 N to the right Correct answer.
Explanation
Forces in opposite directions subtract, and the resultant acts in the direction of the larger force. So 50 N − 20 N = 30 N to the right.
Question 9Mechanics and Motion
A car accelerates uniformly from 10 m/s to 30 m/s in 8 s. What distance does it travel in this time?
- 320 m
- 160 m Correct answer.
- 80 m
- 240 m
Explanation
The average velocity is (10 + 30) ÷ 2 = 20 m/s, and distance = average velocity × time = 20 × 8 = 160 m. This is valid because the acceleration is uniform.
Question 10Mechanics and Motion
A stone is dropped from rest and falls freely for 3 s, taking g = 10 m/s². What is its speed just before landing?
- 3.3 m/s
- 45 m/s
- 30 m/s Correct answer.
- 90 m/s
Explanation
For free fall from rest, v = g × t = 10 m/s² × 3 s = 30 m/s. The speed increases by 10 m/s each second of fall.
Question 11Mechanics and Motion
A stone is dropped from rest and falls freely for 3 s, taking g = 10 m/s². How far does it fall?
- 90 m
- 30 m
- 15 m
- 45 m Correct answer.
Explanation
Using s = ½gt² with u = 0 gives s = ½ × 10 × 3² = 45 m. The displacement grows with the square of the time because speed is increasing.
Question 12Mechanics and Motion
On a velocity-time graph, what does the area under the line represent?
- Rate of change of acceleration
- Displacement Correct answer.
- Acceleration
- Resultant force
Explanation
The area under a velocity-time graph is velocity multiplied by time, which gives displacement. The gradient of the same graph gives acceleration.
Question 13Mechanics and Motion
A velocity-time graph shows a straight line from 0 m/s at t = 0 to 12 m/s at t = 6 s. What is the acceleration?
- 6 m/s²
- 72 m/s²
- 0.5 m/s²
- 2 m/s² Correct answer.
Explanation
Acceleration is the gradient of a velocity-time graph: (12 − 0) ÷ (6 − 0) = 2 m/s². A straight line means the acceleration is constant.
Question 14Mechanics and Motion
A 2 kg object moving at 6 m/s collides head-on with a stationary 4 kg object, and they stick together. What is their common velocity after the collision?
- 1 m/s
- 6 m/s
- 2 m/s Correct answer.
- 3 m/s
Explanation
Momentum is conserved: (2 × 6) + (4 × 0) = 12 kg m/s before, and (2 + 4) × v = 12 after, giving v = 2 m/s. The combined mass is larger, so the common velocity is lower.
Question 15Mechanics and Motion
What is the momentum of a 0.5 kg ball travelling at 8 m/s?
- 16 kg m/s
- 0.0625 kg m/s
- 4 kg m/s Correct answer.
- 8.5 kg m/s
Explanation
Momentum is mass multiplied by velocity: p = m × v = 0.5 kg × 8 m/s = 4 kg m/s. Momentum is a vector, so its direction is the direction of motion.
Question 16Mechanics and Motion
A force of 200 N acts on a wall for 0.05 s during an impact. What is the impulse?
- 10 N s Correct answer.
- 4 000 N s
- 200.05 N s
- 0.00025 N s
Explanation
Impulse equals force multiplied by the time of contact: 200 N × 0.05 s = 10 N s. Impulse also equals the change in momentum of the object.
Question 17Mechanics and Motion
A uniform metre rule is pivoted at its centre. A 2 N weight hangs 20 cm to the left of the pivot. Where must a 4 N weight be placed to balance the rule?
- 5 cm to the right of the pivot
- 40 cm to the right of the pivot
- 20 cm to the right of the pivot
- 10 cm to the right of the pivot Correct answer.
Explanation
For balance, the anticlockwise moment equals the clockwise moment: 2 N × 20 cm = 40 N cm. Dividing by 4 N gives 10 cm on the right of the pivot.
Question 18Mechanics and Motion
A force of 40 N is applied at the end of a spanner 0.25 m from a nut, perpendicular to the spanner. What is the moment about the nut?
- 40.25 N m
- 10 N m Correct answer.
- 0.00625 N m
- 160 N m
Explanation
The moment of a force is force × perpendicular distance from the pivot: 40 N × 0.25 m = 10 N m. The perpendicular distance is what matters, not the length of the spanner in any direction.
Question 19Mechanics and Motion
A block of weight 30 N rests on a horizontal table. What is the normal reaction force from the table on the block?
- 60 N upwards
- 0 N
- 30 N upwards Correct answer.
- 15 N upwards
Explanation
The block is in equilibrium vertically, so the upward normal reaction balances the downward weight of 30 N. The reaction is a contact force from the table.
Question 20Mechanics and Motion
A skydiver reaches terminal velocity. What is true at this point?
- There is no air resistance acting on the skydiver
- The weight is greater than the air resistance
- The weight equals the air resistance, so the resultant force is zero Correct answer.
- The air resistance is greater than the weight
Explanation
At terminal velocity the upward drag force equals the downward weight, giving zero resultant force and therefore zero acceleration. The skydiver continues at a constant speed.
Question 21Mechanics and Motion
A ball is thrown vertically upwards at 20 m/s, taking g = 10 m/s². How long does it take to reach its highest point?
- 0.5 s
- 2 s Correct answer.
- 4 s
- 20 s
Explanation
At the highest point the velocity is zero, so using v = u − gt gives 0 = 20 − 10t, hence t = 2 s. The acceleration due to gravity acts downwards throughout the motion.
Question 22Mechanics and Motion
A ball is thrown vertically upwards at 20 m/s, taking g = 10 m/s². What is the greatest height reached?
- 80 m
- 10 m
- 20 m Correct answer.
- 40 m
Explanation
Using v² = u² − 2gs with v = 0 gives 0 = 400 − 20s, so s = 20 m. The kinetic energy is converted to gravitational potential energy as the ball rises.
Question 23Mechanics and Motion
A block of mass 5 kg slides down a frictionless slope inclined at 30° to the horizontal, taking g = 10 N/kg. What is the component of weight along the slope?
- 25 N Correct answer.
- 43.3 N
- 50 N
- 0 N
Explanation
The component of weight parallel to the slope is mg sin θ = 5 × 10 × sin 30° = 25 N. This is the force that accelerates the block down the slope.
Question 24Mechanics and Motion
Two forces of 6 N and 8 N act at right angles to each other on a point. What is the magnitude of the resultant force?
- 48 N
- 2 N
- 10 N Correct answer.
- 14 N
Explanation
Perpendicular forces combine by Pythagoras: √(6² + 8²) = √(36 + 64) = √100 = 10 N. The resultant is not the simple sum because the forces act in different directions.
Question 25Mechanics and Motion
A car of mass 1 000 kg brakes from 20 m/s to rest in a distance of 50 m. What is the magnitude of the braking force?
- 400 N
- 4 000 N Correct answer.
- 8 000 N
- 200 N
Explanation
Using v² = u² + 2as gives 0 = 400 + 2a(50), so a = −4 m/s². The braking force is F = ma = 1 000 × 4 = 4 000 N.
Question 26Mechanics and Motion
A student measures the length of a pendulum as 0.842 m using a metre rule. Which statement about the measurement is correct?
- The reading has four significant figures and an absolute uncertainty of about 1 mm.
- The reading has three significant figures and an absolute uncertainty of about 1 mm. Correct answer.
- The reading has three significant figures and a percentage uncertainty of about 1 %.
- The reading has an absolute uncertainty of about 0.1 mm because the rule is marked in millimetres.
Explanation
The digits 8, 4 and 2 are all significant, so the value has three significant figures. A metre rule is usually read to the nearest millimetre, giving an absolute uncertainty of about 1 mm (0.001 m).
Question 27Mechanics and Motion
A cyclist travels 120 m east in 20 s and then 80 m west in 10 s. What is the average velocity of the cyclist for the whole journey?
- 4.0 m/s east
- 1.3 m/s east Correct answer.
- 2.0 m/s east
- 6.7 m/s east
Explanation
Average velocity is total displacement divided by total time. The displacement is 120 m − 80 m = 40 m east, and the total time is 30 s, giving 40 / 30 = 1.3 m/s east.
Question 28Mechanics and Motion
A crate of mass 25 kg is pulled along a rough horizontal floor by a horizontal force of 80 N. The friction force is 30 N. What is the acceleration of the crate?
- 4.4 m/s²
- 3.2 m/s²
- 2.0 m/s² Correct answer.
- 1.2 m/s²
Explanation
The resultant horizontal force is 80 N − 30 N = 50 N. Using Newton's second law, a = F / m = 50 / 25 = 2.0 m/s².
Question 29Mechanics and Motion
A ball of mass 0.20 kg is kicked and leaves the ground at 15 m/s at 30° to the horizontal. Taking g = 10 m/s² and ignoring air resistance, what is the maximum height reached by the ball?
- 5.6 m
- 11 m
- 2.8 m Correct answer.
- 1.4 m
Explanation
The vertical component of velocity is 15 sin 30° = 7.5 m/s. At the highest point the vertical velocity is zero, so using v² = u² − 2gs gives s = u² / (2g) = 7.5² / 20 = 2.8 m.
Question 30Energy, Work and Power
A force of 50 N pushes a box 4 m along the direction of the force. How much work is done by the force?
- 0 J
- 54 J
- 12.5 J
- 200 J Correct answer.
Explanation
Work equals force multiplied by the displacement measured along the force: W = F × s = 50 × 4 = 200 J. The joule is the unit of work, equivalent to one newton-metre.
Question 31Energy, Work and Power
Which quantity is defined as the rate at which work is done or energy is transferred?
- Momentum
- Pressure
- Impulse
- Power Correct answer.
Explanation
Power is the rate of doing work or transferring energy, measured in watts where one watt equals one joule per second. Momentum, impulse and pressure describe motion and force effects, not energy transfer rate.
Question 32Energy, Work and Power
A student lifts a 2 kg mass vertically through 1.5 m at constant speed. Taking g = 10 m/s², what is the gain in gravitational potential energy?
- 3 J
- 30 J Correct answer.
- 15 J
- 20 J
Explanation
Gain in gravitational potential energy equals mgh = 2 × 10 × 1.5 = 30 J. Because the mass moves at constant speed, the work done by the lifting force appears entirely as stored potential energy.
Question 33Energy, Work and Power
Which of the following is the SI unit of power?
- Newton
- Pascal
- Watt Correct answer.
- Joule
Explanation
The watt is the SI unit of power, defined as one joule per second. The joule measures energy, the newton measures force and the pascal measures pressure.
Question 34Energy, Work and Power
A motor does 6000 J of work in 20 s. What is its average output power?
- 120000 W
- 620 W
- 300 W Correct answer.
- 0.0033 W
Explanation
Average power equals work done divided by time taken: P = W / t = 6000 / 20 = 300 W. Dividing by the time converts total energy into a rate.
Question 35Energy, Work and Power
A ball is thrown upwards and rises to its highest point. Which statement about its energy is correct?
- Both kinetic and potential energy increase as it rises
- Gravitational potential energy is converted into kinetic energy as it rises
- Total mechanical energy decreases steadily as it rises
- Kinetic energy is converted into gravitational potential energy as it rises Correct answer.
Explanation
As the ball rises it slows down, so kinetic energy falls while gravitational potential energy increases by the same amount. Ignoring air resistance, the total mechanical energy stays constant.
Question 36Energy, Work and Power
Which of these is a renewable energy resource?
- Wind Correct answer.
- Coal
- Natural gas
- Petrol
Explanation
Wind is renewable because it is continually replenished by solar heating of the atmosphere. Natural gas, coal and petrol are fossil fuels formed over millions of years and are being used far faster than they form.
Question 37Energy, Work and Power
A crane raises a load at constant speed, and a second identical crane raises the same load in half the time. How does the power of the second crane compare with the first?
- It is the same
- It is half as large
- It is four times as large
- It is twice as large Correct answer.
Explanation
Both cranes do the same work because they lift the same load through the same height. Power is work divided by time, so halving the time doubles the power.
Question 38Energy, Work and Power
A force of 40 N acts on a crate at 60° to the horizontal, moving it 5 m horizontally. Which expression gives the work done by the force?
- 40 × 5 × sin 60°
- 40 × 5
- 40 × 5 × cos 60° Correct answer.
- 40 × 5 ÷ cos 60°
Explanation
Only the component of force along the displacement does work, so W = F s cos θ = 40 × 5 × cos 60° = 100 J. The perpendicular component does no work because there is no displacement in that direction.
Question 39Energy, Work and Power
A 1500 kg car accelerates from rest to 20 m/s. What is its gain in kinetic energy?
- 600000 J
- 30000 J
- 300000 J Correct answer.
- 15000 J
Explanation
Kinetic energy equals ½mv² = ½ × 1500 × 20² = ½ × 1500 × 400 = 300000 J. The kinetic energy depends on the square of the speed.
Question 40Energy, Work and Power
An electric kettle rated at 2000 W is used for 3 minutes. How much electrical energy does it transfer?
- 36000 J
- 360000 J Correct answer.
- 6000 J
- 1000 J
Explanation
Energy equals power multiplied by time, with time in seconds: E = 2000 × 180 = 360000 J. Converting 3 minutes to 180 seconds is essential before multiplying.
Question 41Energy, Work and Power
A pump raises 200 kg of water through a height of 10 m in 20 s. Taking g = 10 m/s², what is the useful output power of the pump?
- 200 W
- 1000 W Correct answer.
- 2000 W
- 20000 W
Explanation
Useful work done equals mgh = 200 × 10 × 10 = 20000 J, and power equals work divided by time = 20000 / 20 = 1000 W. This is the useful output power of the pump.
Question 42Energy, Work and Power
A pendulum bob swings from its highest point to its lowest point. Which statement describes the energy change at the lowest point?
- Gravitational potential energy is maximum and kinetic energy is minimum
- Both kinetic and potential energy are at their maximum
- Gravitational potential energy is minimum and kinetic energy is maximum Correct answer.
- Kinetic energy is zero and potential energy is zero
Explanation
At the lowest point the bob has fallen the greatest distance, so its gravitational potential energy is least. All of the lost potential energy has become kinetic energy, so the speed and kinetic energy are greatest there.
Question 43Energy, Work and Power
A machine is supplied with 500 J of energy and does 350 J of useful work. What is its efficiency?
- 70% Correct answer.
- 143%
- 30%
- 14%
Explanation
Efficiency equals useful output energy divided by total input energy, expressed as a percentage: (350 / 500) × 100 = 70%. The remaining 150 J is wasted, usually as heat.
Question 44Energy, Work and Power
A 60 kg student runs up a flight of stairs of vertical height 5 m in 4 s. Taking g = 10 m/s², what is the average power developed?
- 3000 W
- 750 W Correct answer.
- 120 W
- 1200 W
Explanation
Work done against gravity is mgh = 60 × 10 × 5 = 3000 J, and average power is 3000 / 4 = 750 W. Only the vertical height matters, not the length of the staircase.
Question 45Energy, Work and Power
A spring stores 0.5 J of elastic potential energy when stretched by 0.1 m. What is the spring constant?
- 50 N/m
- 100 N/m Correct answer.
- 5 N/m
- 10 N/m
Explanation
Elastic potential energy equals ½kx², so k = 2E / x² = (2 × 0.5) / 0.01 = 100 N/m. Squaring the extension is essential in this calculation.
Question 46Energy, Work and Power
A car of mass 800 kg is travelling at 10 m/s. The brakes apply a constant total force of 2000 N. What is the shortest stopping distance?
- 40 m
- 80 m
- 10 m
- 20 m Correct answer.
Explanation
Initial kinetic energy is ½ × 800 × 10² = 40000 J, and the braking force must do this much work: F × s = 40000, so s = 40000 / 2000 = 20 m. Alternatively the deceleration is 2.5 m/s² and s = v²/(2a) = 20 m.
Question 47Energy, Work and Power
Which statement best explains why a machine can never have an efficiency greater than 100%?
- Useful work is always measured in different units from input energy
- The input energy is always larger than the output energy by a fixed amount of 100 J
- Machines always gain energy from their surroundings during operation
- Friction and other resistive forces always convert some energy into forms that are not useful Correct answer.
Explanation
Energy is conserved, but friction, air resistance and heating always dissipate some input energy into non-useful forms such as thermal energy. The useful output can therefore never exceed the total input.
Question 48Energy, Work and Power
A 50 W lamp and a 100 W lamp are both switched on for 5 hours. Which correctly compares the energy transferred?
- The 100 W lamp transfers four times the energy of the 50 W lamp
- The 100 W lamp transfers twice the energy of the 50 W lamp Correct answer.
- The 50 W lamp transfers twice the energy of the 100 W lamp
- Both transfer the same energy because the time is the same
Explanation
Energy equals power multiplied by time, so for equal times the energy is proportional to power. Doubling the power doubles the energy transferred, so the 100 W lamp transfers twice as much.
Question 49Energy, Work and Power
A force of 30 N moves an object 6 m in the direction of the force. The same object is then moved 6 m with the force perpendicular to the motion. What is the total work done by the force?
- 90 J
- 0 J
- 360 J
- 180 J Correct answer.
Explanation
In the first stage W = 30 × 6 = 180 J. In the second stage the force is perpendicular to the displacement, so cos 90° = 0 and no work is done, giving a total of 180 J.
Question 50Energy, Work and Power
A roller coaster car of mass 500 kg starts from rest at a height of 20 m and descends to ground level. Taking g = 10 m/s² and ignoring friction, what is its speed at the bottom?
- 10 m/s
- 20 m/s Correct answer.
- 40 m/s
- 200 m/s
Explanation
Potential energy mgh = 500 × 10 × 20 = 100000 J becomes kinetic energy ½mv². Solving ½ × 500 × v² = 100000 gives v² = 400, so v = 20 m/s. Notice the mass cancels and the speed depends only on the height.