AQA-style topic test · Forces · Higher tier
Time allowed: 50 minutes
Total: Separate Physics 42 marks · Combined Science 30 marks (skip Questions 06 and 07)
You need: a calculator, a ruler and the equation sheet.
Instructions: Answer all questions on paper. Show your working in calculations. Give answers to an appropriate number of significant figures. Gravitational field strength = 9.8 N/kg. Open the mark schemes only when you have finished the whole test.
Question 01
01.1 Two forces act on a boat. A force of 30 N acts east and a force of 40 N acts north.
Determine the size of the resultant force. You may use a scale drawing. [2 marks]
Mark scheme
correct scale drawing (forces tip-to-tail at right angles) or √(30² + 40²) (1)
50 N (1) – allow 49–51 N from a scale drawing
01.2 A worker pushes a box with a force of 250 N for 4.0 m across a floor.
Calculate the work done. [2 marks]
Mark scheme
W = 250 × 4.0 (1)
W = 1000 J (1)
01.3 What is meant by 1 joule of work done? [1 mark]
Mark scheme
a force of 1 N moves an object through 1 m (in the direction of the force) (1)
Question 01 total: 5 marks
Question 02
A car starts from rest and accelerates steadily to 20 m/s in 8.0 s. It then travels at a constant 20 m/s for 12 s.
02.1 Calculate the acceleration of the car in the first 8.0 s. [2 marks]
Mark scheme
a = 20 ÷ 8.0 (1)
a = 2.5 m/s² (1)
02.2 Use the area under a velocity–time graph to calculate the total distance travelled in the 20 s. [3 marks]
Mark scheme
triangle: ½ × 8.0 × 20 = 80 m (1)
rectangle: 12 × 20 = 240 m (1)
total = 320 m (1)
02.3 A train travelling at 30 m/s brakes steadily and stops in a distance of 450 m.
Calculate the deceleration of the train.
Use the equation: v² − u² = 2 a s [3 marks]
Mark scheme
0² − 30² = 2 × a × 450 (1)
a = −900 ÷ 900 (1)
deceleration = 1.0 m/s² (1) – allow a = −1.0 m/s²
Question 02 total: 8 marks
Question 03
A student investigates how the force on a trolley affects its acceleration. A string attached to the trolley runs over a pulley to a hanging mass holder. Light gates measure the acceleration.
03.1 Describe how the student can change the force while keeping the total mass constant. [2 marks]
Mark scheme
start with masses stacked on the trolley (1)
move them one at a time from the trolley to the hanger (1)
03.2 Describe the graph of acceleration against force that the student should expect. [1 mark]
Mark scheme
a straight line through the origin / acceleration directly proportional to force (1)
03.3 The measured accelerations are all slightly lower than expected. Suggest a reason and how to reduce the effect. [2 marks]
Mark scheme
friction acts on the trolley / at the pulley, so the resultant force is smaller (1)
tilt the runway slightly so the trolley just keeps moving at a steady speed (1)
03.4 Define inertial mass. [1 mark]
Mark scheme
a measure of how difficult it is to change an object’s velocity / force ÷ acceleration (1)
Question 03 total: 6 marks
Question 04
04.1 A car of mass 1200 kg travels at 15 m/s. Calculate its momentum. [2 marks]
Mark scheme
p = 1200 × 15 (1)
p = 18 000 kg m/s (1)
04.2 A 2.0 kg trolley moving at 3.0 m/s hits a stationary 1.0 kg trolley. They stick together.
Calculate their velocity after the collision. [3 marks]
Mark scheme
momentum before = 2.0 × 3.0 = 6.0 kg m/s (1)
6.0 = 3.0 × v (1)
v = 2.0 m/s (1)
Question 04 total: 5 marks
Question 05
05.1 Explain the factors that affect the stopping distance of a car. Include why a very large deceleration can be dangerous. [6 marks]
Mark scheme
Level 3 (5–6 marks): factors are clearly linked to thinking distance or braking distance, with explanations, and the dangers of large decelerations are explained.
Level 2 (3–4 marks): factors for both thinking and braking distance are given, with some explanation.
Level 1 (1–2 marks): some factors are listed with little or no explanation.
0 marks: no relevant content.
Indicative content:
• stopping distance = thinking distance + braking distance
• tiredness, alcohol, drugs and distractions increase reaction time, so thinking distance increases
• higher speed increases both thinking and braking distance
• wet or icy roads and worn tyres reduce friction, so braking distance increases
• worn brakes reduce the braking force
• braking: friction does work, transferring kinetic energy to the thermal store of the brakes
• large decelerations need large braking forces, which can make the brakes overheat and the driver lose control / skid
Question 05 total: 6 marks
🔷 SEPARATE PHYSICS ONLY – Combined Science students skip Questions 06 and 07
(Moments, pressure in fluids, and force as rate of change of momentum are only in Separate Physics.)
Question 06
06.1 A child of weight 300 N sits 2.0 m from the pivot of a seesaw. A second child of weight 400 N sits on the other side.
Calculate how far from the pivot the second child must sit for the seesaw to balance. [3 marks]
Mark scheme
clockwise moment = anticlockwise moment (1)
300 × 2.0 = 400 × d (1)
d = 1.5 m (1)
06.2 Calculate the pressure due to the water at a depth of 10 m in a lake.
Density of water = 1000 kg/m³
Use the equation: p = h ρ g [2 marks]
Mark scheme
p = 10 × 1000 × 9.8 (1)
p = 98 000 Pa (1)
06.3 Explain why an object submerged in water experiences an upthrust. [2 marks]
Mark scheme
pressure increases with depth, so the pressure on the bottom surface is greater than on the top surface (1)
so there is a resultant upward force (1)
Question 06 total: 7 marks
Question 07
07.1 In a crash test, a car of mass 1000 kg travelling at 15 m/s is brought to rest in 0.10 s.
Calculate the average force on the car.
Use the equation: F = m Δv ÷ Δt [2 marks]
Mark scheme
F = 1000 × 15 ÷ 0.10 (1)
F = 150 000 N (1) – allow 1.5 × 105 N
07.2 Explain how an air bag reduces the force on a driver in a crash. [3 marks]
Mark scheme
the air bag increases the time taken for the driver to stop (1)
so the rate of change of momentum is smaller (1)
force = rate of change of momentum, so the force on the driver is smaller (1)
Question 07 total: 5 marks
END OF TEST. Total: Separate Physics 42 marks · Combined Science 30 marks.
Next: Forces – Foundation test · Forces topic page · All topic tests