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Mechanics — Classical Physics Complete Guide

Mechanics is the branch of physics that studies how objects move and the forces that cause that motion. This hub covers everything from SUVAT kinematics and Newton laws to work, energy, momentum, and collisions — with study notes, formulas, and MCQ practice.

Study Notes: Classical Mechanics

1. Kinematics — The SUVAT Equations

Kinematics describes how objects move without asking why. For any object with constant acceleration, five equations connect displacement (s), initial velocity (u), final velocity (v), acceleration (a), and time (t):

  • v = u + at
  • s = ut + ½at²
  • v² = u² + 2as
  • s = ½(u+v)t
  • s = vt − ½at²

On a velocity-time graph: slope = acceleration, area under line = displacement.

2. Newton Laws of Motion

First Law (Inertia): An object stays at rest or at constant velocity unless a net external force acts on it.

Second Law: F = ma. Net force equals mass times acceleration. Force and acceleration are in the same direction.

Third Law: Every force has an equal and opposite reaction acting on a different object. The rocket pushes gas backward; gas pushes rocket forward.

3. Work, Energy, and Power

Work W = Fs cosθ — work done = force × displacement × cos(angle). Kinetic energy KE = ½mv². Gravitational potential energy PE = mgh. Conservation of energy: in a closed frictionless system, KE + PE = constant. Power P = W/t.

4. Momentum, Impulse, and Collisions

Momentum p = mv (vector, SI unit kg·m/s). Impulse J = FΔt = Δp. In a closed system, total momentum is conserved. Elastic collisions conserve both momentum and KE. Inelastic collisions conserve momentum only.

Mechanics Formula Sheet

Key formulas with definitions, variables, and SI units.

Newton 2nd Law

F = ma

Net force = mass × acceleration

Unit: N (Newtons)

Kinetic Energy

KE = ½mv²

Energy of motion

Unit: J (Joules)

SUVAT (1)

v = u + at

Final velocity from initial + acceleration × time

Unit: m/s

Work Done

W = Fs cosθ

Work = force × displacement × cosθ

Unit: J (Joules)

Momentum

p = mv

Mass × velocity (vector)

Unit: kg·m/s

Weight

W = mg

Gravitational force on an object

Unit: N (Newtons)

Frequently Asked Questions

Common questions about this topic, answered clearly.

Classical mechanics describes the motion of macroscopic objects under forces. It is built on Newton three laws and conservation laws for energy and momentum, and applies to everyday objects moving much slower than light.

SUVAT equations solve any constant-acceleration kinematics problem. Identify which three of the five variables (s, u, v, a, t) you know, pick the equation that uses those three plus your unknown, then solve.

In elastic collisions, both momentum and kinetic energy are conserved (ideal billiard balls). In inelastic collisions, momentum is conserved but kinetic energy is lost to heat/sound/deformation (car crash).

The net work done on an object equals its change in kinetic energy: W_net = ΔKE = ½mv² − ½mu². This connects force, motion, and energy in a single equation.

Related Physics Topics

Wave Physics

Oscillations, transverse waves, and the wave equation.

Newton's Laws

Deep dive: F=ma, free body diagrams, and applications.

Physics Formulas

Complete formula library for all mechanics topics.

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