Laws of Motion

Newton's laws, friction, circular motion dynamics

Key Concepts
  • Newton's 1st law: an object continues its state unless acted on by a net force
  • Newton's 2nd law: F = ma (net force causes acceleration)
  • Newton's 3rd law: every action has an equal and opposite reaction
  • Static friction ≤ μₛN; kinetic friction = μₖN (μₖ < μₛ)
  • Pseudo force (−ma) must be added in non-inertial frames
Important Formulae
Newton's 2nd law F = ma
Static friction (max) fₛ = μₛ N
Kinetic friction fₖ = μₖ N
Angle of friction tan θ = μ
Centripetal force F = mv²/r = mω²r
Quick Tips
  • Normal force equals weight only on a horizontal surface with no vertical acceleration.
  • Banking of roads: tan θ = v²/rg (ideal speed, no friction needed).
  • Impulse = change in momentum = F × Δt.
Sample Practice Questions
  1. A bullet of 10 g is fired with 800 m/s from a gun of mass 5 kg. Recoil speed:

    • 0.8 m/s
    • 1.6 m/s
    • 3.2 m/s
    • 8 m/s
    Show answer

    Answer: 1.6 m/s

  2. Which law states that action and reaction are equal and opposite?

    • Newton's first law
    • Newton's second law
    • Newton's third law
    • Law of conservation of momentum
    Show answer

    Answer: Newton's third law

  3. A car takes a circular turn of radius 200 m at 72 km/h. For no skidding, minimum coefficient of friction (g=10):

    • 0.1
    • 0.2
    • 0.3
    • 0.4
    Show answer

    Answer: 0.2

  4. Angle of friction equals the angle whose tangent is:

    • μk
    • μs
    • 1/μs
    • μs²
    Show answer

    Answer: μs

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Practice Questions

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