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Mathematics

Newton's Laws: The Rhythm of Motion

An intuitive journey through the three fundamental laws of motion that govern how objects move and interact in our physical world.

Newton's First Law
∑F⃗=0  ⟹  v⃗=constant\sum \vec{F} = 0 \implies \vec{v} = \text{constant}
Imagine a hockey puck gliding forever on frictionless ice. It keeps its speed and direction perfectly, moving in a straight line, because no force is there to tell it otherwise.
Step-by-step solver
1

(a) First Law

If no external net force acts on an object, its velocity vector remains constant.

∑F⃗=0  ⟹  a⃗=0\sum \vec{F} = 0 \implies \vec{a} = 0
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(b) Second Law

Given a 10N force on a 2kg mass, divide the force by the mass to find the constant acceleration.

a=Fm=102=5 m/s2a = \frac{F}{m} = \frac{10}{2} = 5\text{ m/s}^2
3

(c) Third Law

The rocket and exhaust gas exert equal magnitude forces on each other in opposite directions.

∣F⃗rocket on gas∣=∣F⃗gas on rocket∣|\vec{F}_{\text{rocket on gas}}| = |\vec{F}_{\text{gas on rocket}}|

Original question

''Newton's laws animated'

Follow-up chat

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