Lesson R3

R3 Weight and motion under gravity Quiz: AQA Maths, Unit 12

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson R3, Weight and motion under gravity: 20 multiple choice questions for the AQA Maths (7357), Unit 12: Mechanics, written with Revision Ninja.

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The 20 questions

  1. Which expression gives the weight of a particle of mass m?

    • W = m/g
    • W = mg
    • W = g/m
    • W = m + g

  2. What quantity does the symbol g represent in mechanics equations?

    • Body weight
    • Universal constant
    • Gravitational force
    • Gravitational acceleration

  3. Why is the acceleration due to gravity g not a universal constant?

    • Air resistance affects it
    • It varies by location
    • It depends on mass
    • Temperature changes it

  4. A particle has mass 3 kg. With g = 9.8 m s^-2, what is its weight?

    • 0.31 N
    • 29.4 N
    • 2.94 N
    • 3 N

  5. What is the acceleration of an object falling freely near Earth's surface without air resistance?

    • Increasing downwards
    • g downwards
    • Zero
    • g upwards

  6. A stone is dropped from rest from a height of 80 m, with g = 10 m s^-2. How long does it take to reach the ground?

    • 8 s
    • 4 s
    • 16 s
    • 2 s

  7. The stone dropped from rest from 80 m, with g = 10 m s^-2, hits the ground at what speed?

    • 40 m s^-1
    • 20 m s^-1
    • 80 m s^-1
    • 800 m s^-1

  8. A body falls freely from rest for 3 s with g = 10 m s^-2. How far does it fall?

    • 15 m
    • 30 m
    • 90 m
    • 45 m

  9. A 2 kg body falls freely with g = 10 m s^-2. What is the resultant force on it?

    • 20 N
    • 10 N
    • 2 N
    • 0 N

  10. A ball is thrown vertically upwards at 12 m s^-1, with g = 10 m s^-2. How long does it take to reach its highest point?

    • 0.6 s
    • 12 s
    • 2.4 s
    • 1.2 s

  11. The same ball thrown upwards at 12 m s^-1, with g = 10 m s^-2, returns to its launch point after how long?

    • 1.2 s
    • 4.8 s
    • 2.4 s
    • 0.6 s

  12. What property of weight ensures all objects accelerate at g under gravity alone?

    • Inversely proportional to mass
    • Proportional to mass
    • Independent of mass
    • Proportional to volume

  13. A 70 kg person stands in a lift accelerating upwards at 2 m s^-2, with g = 10 m s^-2. What is the normal reaction from the floor?

    • 840 N
    • 140 N
    • 700 N
    • 560 N

  14. A 5 kg body is pulled vertically upwards by a rope with acceleration 1 m s^-2, with g = 10 m s^-2. What is the tension?

    • 45 N
    • 55 N
    • 50 N
    • 5 N

  15. A ball is dropped from rest and takes 2 s to fall. With g = 10 m s^-2, what is the height?

    • 5 m
    • 10 m
    • 20 m
    • 40 m

  16. In AQA A-level Mathematics, what standard value in metres per second squared is used for g?

    • 10
    • 9.8
    • 9.81
    • 9.75

  17. A 4 kg mass is lowered vertically by a rope with downward acceleration 3 m s^-2, with g = 10 m s^-2. What is the tension?

    • 52 N
    • 40 N
    • 28 N
    • 12 N

  18. A stone is projected vertically upwards at 20 m s^-1 from the ground, with g = 10 m s^-2. How high is it after 3 s?

    • 15 m
    • 30 m
    • 60 m
    • 45 m

  19. The stone projected upwards at 20 m s^-1 with g = 10 m s^-2 has what velocity at t = 3 s?

    • 30 m s^-1 upwards
    • 10 m s^-1 upwards
    • 10 m s^-1 downwards
    • 20 m s^-1 downwards

  20. A rocket of mass 500 kg accelerates vertically upwards at 4 m s^-2, with g = 10 m s^-2. What is the thrust?

    • 2000 N
    • 5000 N
    • 9000 N
    • 7000 N

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