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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. Two blocks of masses 3 kg and 5 kg are connected by a string over a frictionless pulley. Acceleration of the system (g=10):

    • 1.25 m/s²
    • 2.5 m/s²
    • 5 m/s²
    • 10 m/s²
    Show answer

    Answer: 2.5 m/s²

  2. The minimum force required to move a block of mass m on a surface with coefficient of static friction μs:

    • mg
    • μs mg
    • mg/μs
    • μs mg/2
    Show answer

    Answer: μs mg

  3. The coefficient of friction between two surfaces is 0.5. Normal force is 20 N. Limiting friction:

    • 5 N
    • 10 N
    • 15 N
    • 20 N
    Show answer

    Answer: 10 N

  4. 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

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Practice Questions

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Frequently Asked Questions

What are the key concepts in Laws of Motion for NEET?

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.

Which formulae are important for Laws of Motion in NEET?

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.

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