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Forces and Motion

Forces and Newton's Laws

Pearson Edexcel International GCSE Physics


Forces and their effects

  • A force can change the speed, the direction of motion or the shape of an object.
  • A resultant force in the opposite direction to the velocity: the speed will decrease.
ForceDirection
weightvertically downwards
air resistance, or drag in a liquidopposite to the velocity
frictionopposite to the motion, between two surfaces
upthrustupwards, on an object in a liquid or a gas
tensionalong a string or cable: upwards on a hanging object
thrust, driving forceforwards, pushing a vehicle
liftupwards, on a wing
magnetic force, electrostatic forcebetween magnets, or between charges
  • Label the downward force on any object with mass weight.
  • Draw each force as an arrow starting on the object, in the direction of the force, its length showing its size. Two balanced forces: arrows of equal length.
Air resistance Weight Velocity
Forces on a falling ball: each arrow starts on the ball and its length shows the size of the force.

Scalars and vectors

  • A scalar has magnitude only. A vector has magnitude and direction.
  • Both have magnitude: only vectors have a direction. Force is a vector.
ScalarsVectors
speedvelocity
distancedisplacement
massacceleration
timemomentum
energy, power, temperatureforce, weight

Resultant force

  • The resultant force is the single force with the same effect as all the forces acting on an object.
  • Forces along one line: add forces in the same direction, subtract forces in opposite directions.
  • Give the resultant as a magnitude in N and a direction: left, right, up or down.
  • Balanced forces: the resultant force is zero, so there is no acceleration. The object stays at rest or moves at constant velocity.
  • A vehicle at constant velocity: the driving force = friction + air resistance.
  • Friction and air resistance act in the opposite direction to the velocity.

Force, mass and acceleration

force = mass × accelerationF = m × a
  • F is the resultant force: subtract opposing forces before using the equation.
  • Rearranged: a = F / m, m = F / a.

Weight

weight = mass × gravitational field strengthW = m × g
  • Rearranged: m = W / g, g = W / m.
  • On Earth, g = 10 N/kg.
  • g is the gravitational field strength.
QuantitySymbolUnit
forceFN
massmkg
accelerationam/s2
weightWN
gravitational field strengthgN/kg

Newton's third law

  • Every force has an equal and opposite reaction: when body A exerts a force on body B, body B exerts a force on body A.
  • The two forces: both forces are the same size and the forces are in opposite directions.
  • The two forces act on two different bodies and are the same type of force.
  • Two balanced forces on one object are not a third-law pair: the forces are acting on the same body and the forces are not the same type.
  • A third-law pair: the weight of block and the gravitational force of block on Earth.

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