Newton's laws Edexcel International A Level Physics revision

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In plain words

Three laws explain why things move the way they do. Nothing changes its motion unless a force makes it. The bigger the resultant force, the bigger the acceleration. And forces always come in pairs: push on a wall and the wall pushes back on you just as hard.

4 things to know

  1. First law: a body stays at rest or moves at constant velocity unless a resultant force acts on it. Second law: resultant force = rate of change of momentum, which for constant mass is F = ma.
  2. Third law: if A exerts a force on B, then B exerts an equal and opposite force on A. The two forces are the same type, and act on different bodies.
  3. Draw a free-body diagram showing only the forces acting on the one object, then apply F = ma along the direction of motion.
  4. Mass is the property of an object that resists changes to its motion. Weight is the gravitational force on it: W = mg, where g is the gravitational field strength (9.81 N/kg near the Earth's surface).

Worked example

A 70 kg person stands in a lift accelerating upwards at 2.0 m/s². Find the force from the floor on the person.

  1. Forces on the person: R upwards and weight mg downwards.
  2. Resultant upwards = ma: R − mg = ma, so R = m(g + a).
  3. R = 70 × (9.81 + 2.0) = 827 N.

Tips and tricks

  • F in F = ma is the resultant force. Find that first.
  • A third-law pair never acts on the same object. Weight and the normal force on a book are not a pair.
5 questions, about 2 minutes.

It lands in your notebook with its questions as flashcards.

Newton's laws: 5 questions and answers

These are the quiz’s questions. Do the quiz first, then come back here for the ones that got you.

  1. A body moves at constant velocity. What must be true?
    • No forces act on it.
    • The resultant force on it is zero. (the answer)
    • A constant force acts on it.
    • It has no mass.

    Forces may act, but they balance.

  2. What is the resultant force on a 4.0 kg mass accelerating at 3.0 m/s²?
    • 0.75 N
    • 1.3 N
    • 7.0 N
    • 12 N (the answer)

    F = ma.

  3. Which is true of a Newton's third law pair of forces?
    • They act on the same body.
    • They act on different bodies. (the answer)
    • They are different types of force.
    • They cancel each other out.

    Each acts on one of the two bodies involved.

  4. A person stands in a lift moving up at constant speed. How does the force from the floor compare with their weight?
    • It is greater.
    • It is smaller.
    • It is equal. (the answer)
    • It is zero.

    Constant velocity means no resultant force.

  5. In Newton's second law, force is equal to the rate of change of what?
    • energy
    • velocity
    • momentum (the answer)
    • displacement

    F = Δp ÷ Δt.

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