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Laws of Motion — Class 9 Maharashtra SSC Science revision notes

A 3-page visual revision sheet for Laws of Motion, written for Class 9 Maharashtra SSC Science. Formulas, diagrams and the traps that cost marks, laid out to be read the night before rather than the term before. Free, and it opens inside CapCompass.

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Laws of Motion in one look

the three laws, the momentum they are really about, and why forces come in pairs

The first law, and what inertia means

  • a body stays at rest, or moves in a straight line at constant speed, unless an unbalanced force acts on it
  • inertia is that resistance to any change in the state of motion, and mass is the measure of inertia
  • so a heavier body has more inertia and is harder both to start moving and to stop
  • inertia of rest: dust flies off a beaten carpet because the carpet moves and the dust does not
  • inertia of motion: a passenger lurches forward when a bus brakes, because the body keeps moving
  • balanced forces produce no change in motion, so a body can move at constant speed with forces acting, provided they cancel

Momentum, and the second law

  • momentum is mass times velocity, p = mv, measured in kg m s⁻¹, and it is a vector
  • so a heavy slow body can carry the same momentum as a light fast one
  • the second law: the rate of change of momentum is proportional to the applied force and happens in its direction
  • for constant mass this reduces to the familiar F = ma
  • one newton is the force giving a mass of 1 kg an acceleration of 1 m s⁻²
  • the same change of momentum spread over a longer time needs a smaller force, which is why airbags, crumple zones and bending the knees on landing all work

The relations of this chapter

  • momentum p = mv
  • the second law, in its general form F = mv - mu/t
  • and for constant mass F = ma
  • conservation of momentum in a collision m_1u_1 + m_2u_2 = m_1v_1 + m_2v_2
  • the third law F_AB = -F_BA

The third law, and the pair of forces

  • to every action there is an equal and opposite reaction
  • the two forces are equal in size and opposite in direction, and they act on two different bodies
  • that last point is everything: because they act on different bodies, they never cancel each other
  • if they acted on the same body, nothing could ever accelerate, which is the usual confusion
  • walking works this way: the foot pushes back on the ground and the ground pushes forward on the foot
  • a gun recoils, a rocket rises by throwing gases backwards, and a boat moves when the oar pushes water back

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