Loading module…

What you will learn in Mechanics

1. Introduction to Motion
Position, velocity, and acceleration, introduced together through free fall.
2. Free Fall
Every object falls at the same rate under gravity alone — mass doesn't change fall time.
3. Projectile Motion
Horizontal and vertical motion happen independently — decompose, then recombine.
4. Newton's First Law
An object in motion stays in motion at constant velocity unless a net force acts on it.
5. Newton's Second Law
Net force equals mass times acceleration — combine forces, then see the resulting acceleration.
6. Newton's Third Law
Every force has an equal and opposite reaction force, acting on a different body.
7. Friction
Static friction holds an object still up to a threshold; past that threshold, kinetic friction takes over.
8. Circular Motion & Centripetal Force
Moving in a circle at constant speed still means constantly accelerating — toward the center.
9. Momentum & Impulse
A force acting over time changes momentum by exactly the impulse it delivers.
10. Collisions
Momentum survives every collision; kinetic energy only survives the perfectly elastic ones.
11. Work
A force does work only through the part of it that lies along the motion — and a force that varies does the area under its graph.
12. Kinetic and Potential Energy
Net work is the change in kinetic energy; gravity's work does not care about the route, which is what lets potential energy exist.
13. Power
Power is how fast work is done — P = W/t, or P = Fv — and fixed power means less force to spare the faster you go.
14. Vectors: Adding, Resolving, Multiplying
Forces add as arrows, not as numbers; a vector splits into components along any axes; and the two products of vectors are work, a number, and torque, a vector standing out of the plane.
15. Relative Velocity in a Plane
A velocity depends on who is watching: v_AB = v_A − v_B, worked out for a boat crossing a river, rain on a walker and two cars at a crossroads.

What you will learn in Mechanics

1. Introduction to Motion

Position, velocity, and acceleration, introduced together through free fall.

2. Free Fall

Every object falls at the same rate under gravity alone — mass doesn't change fall time.

3. Projectile Motion

Horizontal and vertical motion happen independently — decompose, then recombine.

4. Newton's First Law

An object in motion stays in motion at constant velocity unless a net force acts on it.

5. Newton's Second Law

Net force equals mass times acceleration — combine forces, then see the resulting acceleration.

6. Newton's Third Law

Every force has an equal and opposite reaction force, acting on a different body.

7. Friction

Static friction holds an object still up to a threshold; past that threshold, kinetic friction takes over.

8. Circular Motion & Centripetal Force

Moving in a circle at constant speed still means constantly accelerating — toward the center.

9. Momentum & Impulse

A force acting over time changes momentum by exactly the impulse it delivers.

10. Collisions

Momentum survives every collision; kinetic energy only survives the perfectly elastic ones.

11. Work

A force does work only through the part of it that lies along the motion — and a force that varies does the area under its graph.

12. Kinetic and Potential Energy

Net work is the change in kinetic energy; gravity's work does not care about the route, which is what lets potential energy exist.

13. Power

Power is how fast work is done — P = W/t, or P = Fv — and fixed power means less force to spare the faster you go.

14. Vectors: Adding, Resolving, Multiplying

Forces add as arrows, not as numbers; a vector splits into components along any axes; and the two products of vectors are work, a number, and torque, a vector standing out of the plane.

15. Relative Velocity in a Plane

A velocity depends on who is watching: v_AB = v_A − v_B, worked out for a boat crossing a river, rain on a walker and two cars at a crossroads.