Laws of Motion — NEET Physics
Newton's Three Laws
FIRST LAW (Law of Inertia):
A body continues in its state of rest or uniform motion in a straight line
unless acted upon by an external net force
Inertia: tendency to resist change in state of motion
Inertia ∝ mass (heavier object = more inertia)
Examples: passenger lurches forward when bus brakes (inertia of motion)
dust falls from carpet when beaten (inertia of rest)
coin falls into glass when card is flicked (inertia of rest)
SECOND LAW:
F_net = ma (net force = mass × acceleration)
Vector equation: direction of acceleration = direction of net force
Impulse: J = F × Δt = Δ(mv) = change in momentum
Impulse-momentum theorem: J = mv_f - mv_i
Unit of force: 1 Newton = 1 kg·m/s²
THIRD LAW (Action-Reaction):
For every action, there is equal and opposite reaction
SAME magnitude, OPPOSITE direction, act on DIFFERENT bodies
Action and reaction CANNOT cancel (they act on different objects)
Examples: gun recoil, rocket propulsion, swimming, walking
LINEAR MOMENTUM:
p = mv (vector quantity)
Conservation: if F_net = 0 (no external force), total momentum is conserved
p_initial = p_final for isolated system
Application: collisions, explosions, rocket propulsionFriction
TYPES:
Static friction: prevents relative motion; adjustable up to maximum
f_s ≤ μ_s × N (static friction coefficient × normal force)
Maximum static friction: f_s(max) = μ_s × N
Kinetic friction: opposes relative motion (sliding friction)
f_k = μ_k × N (constant once sliding)
μ_k < μ_s (always: kinetic less than static maximum)
Rolling friction: very small (wheels, ball bearings)
ANGLE OF FRICTION (λ):
tan λ = μ (friction coefficient)
Angle of repose (θ): angle at which object just starts to slide on incline
tan θ = μ_s → θ = angle of friction for static case
FRICTION ON INCLINE:
Normal: N = mg cos θ | Friction (static): f = mg sin θ (when stationary)
Condition for sliding: mg sin θ > μ_s × mg cos θ → tan θ > μ_s
Acceleration when sliding: a = g(sin θ - μ_k cos θ)
FRICTION IS NOT ALWAYS HARMFUL:
Useful: walking, car tyres on road, brakes, writing, machinery
Reduced by: lubricants, ball bearings, polishing, streamliningCircular Motion
UNIFORM CIRCULAR MOTION:
Speed constant but direction changes → acceleration exists
Centripetal acceleration: a = v²/r = ω²r (directed INWARD toward centre)
Centripetal force: F = mv²/r = mω²r (net force required for circular motion)
This is NOT a separate force — it IS the net inward force
The force providing centripetal force: friction, tension, normal, gravity
CIRCULAR MOTION EXAMPLES:
Car on flat road: friction provides centripetal force (f = mv²/r)
Car on banked road: N sin θ provides centripetal force
Ideal banking angle: tan θ = v²/rg (no friction needed at this speed)
Conical pendulum:
T cos θ = mg (vertical equilibrium)
T sin θ = mv²/r = mω²r (centripetal)
→ tan θ = ω²r/g | Period: T = 2π√(l cos θ/g)
Vertical circular motion (ball on string):
At bottom: T - mg = mv²_B/r → T = mg + mv²_B/r (maximum tension)
At top: T + mg = mv²_T/r → T = mv²_T/r - mg
Minimum speed at top: T = 0 → v_min = √(gr)
Using energy conservation: v_B² = v_T² + 4gr
PSEUDO FORCE:
When solving in non-inertial (accelerating) reference frame
Add pseudo force = -ma (opposite to frame's acceleration)
Example: person in accelerating car feels pushed back → pseudo force outward
Centrifugal force: pseudo force in rotating frame (outward)NEET Pattern Questions
COMMON NEET QUESTION TYPES:
Find tension in string during vertical circular motion
Maximum speed on banked/unbanked road without skidding
Impulse calculation from force-time graph area
Conservation of momentum in collision/explosion
Angle of repose and friction coefficient relationship
FORMULA SHEET:
F = ma | J = Δp = F·Δt | p = mv
f_s(max) = μ_s N | f_k = μ_k N | tan(θ_repose) = μ_s
a_c = v²/r = ω²r | F_c = mv²/r
Escape velocity: NOT in this chapter (see Gravitation)
COMMON MISTAKES:
Confusing centripetal force with centrifugal (centrifugal is pseudo, only in rotating frame)
Applying Newton's 3rd law: remember action-reaction on DIFFERENT bodies
Friction direction: always OPPOSES relative motion (or tendency of motion)Study Resources
•NCERT Physics Part 1, Chapters 4 and 5 — Laws of Motion (mandatory)
•DC Pandey Laws of Motion — excellent practice problems for NEET
•PW Physics Wallah — free Laws of Motion NEET lecture series
•NEET PYQ Analysis — 5-7 questions from this chapter every year

