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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.
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):
On a velocity-time graph: slope = acceleration, area under line = displacement.
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.
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.
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.
Key formulas with definitions, variables, and SI units.
Unit: N (Newtons)
Unit: J (Joules)
Unit: m/s
Unit: J (Joules)
Unit: kg·m/s
Unit: N (Newtons)
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.