Laws of Motion ↔ Work, Energy & Power

• Work done by friction = f_k × d (negative work, removes kinetic energy)
• Impulse-Momentum Theorem ↔ Work-Energy Theorem: both relate cause (force) to effect (change in state)
• Conservation of momentum ↔ Conservation of energy in elastic collisions — both apply simultaneously

Laws of Motion ↔ Circular Motion

• Centripetal force IS Newton's Second Law applied to circular motion: F = $mv^{2}$/r = ma_c
• Banking angle derivation uses Newton's second law in two directions simultaneously

Laws of Motion ↔ Gravitation

• Apparent weight concept links to gravitational field strength
• Weightlessness in orbit: gravitational force provides centripetal force — not a contradiction but an application of Newton's laws

Laws of Motion ↔ Fluid Mechanics

• Viscosity is friction for fluids; terminal velocity occurs when drag force balances gravity (F_net = 0 → a = 0 → constant velocity — Newton's First Law)

Laws of Motion ↔ Rotational Motion

• Torque τ = Iα is the rotational analogue of F = ma
• Angular momentum L = Iω is the rotational analogue of linear momentum p = mv
• Conservation of angular momentum mirrors conservation of linear momentum (when τ_ext = 0)

Laws of Motion ↔ Thermodynamics

• Pressure in kinetic theory derived from Newton's Second Law applied to molecular collisions with container walls: P = F/A = $\Delta p$/(A·$\Delta t$)