Physics · Unit 2: Dynamics ·  Activity 2-2-2

Newton's Second Law — F = ma

Every informal idea about force and mass from this whole unit collapses into one exact equation today  ·  1 class day

StarringF_net = maa = F_net / m

A brick has way more weight than a rock — but drop them together (ignoring air resistance) and they hit the ground at the same instant. F = ma explains exactly why.

a = F_g / m = mg / m = g — mass cancels out

🧭 Plot Summary

Newton's Second Law: F_net = ma. The net force on an object equals its mass times its acceleration. This one equation makes exact everything you've been reasoning about informally since Lesson 2-1-2 — more force causes more acceleration, and more mass resists acceleration.

The order of operations matters: find the net force first — adding up every force on the object, including friction, with correct signs — and only then divide by mass to get acceleration. Skipping straight to "force equals mass times acceleration" using just one force in a multi-force problem is the single most common error this equation invites.

What you will do in this lesson

  • Turn every informal 'more mass resists more' idea from this unit into one exact equation.
  • Practice finding net force first — including friction — before ever touching F = ma.
  • Solve the oldest trick question in physics: why don't heavier objects fall faster?
  • Separate 'has velocity' from 'has acceleration' for good — force controls one of these, not the other.

Why it matters

Every remaining lesson and project in Unit 2 — inclines, friction ramps, real-world diagnosis — comes down to finding net force and applying F = ma. This is the equation the rest of the unit runs on.

Self-Check Before You Roll On

Check off each item as you get there. These are not grades — they are your own signal.