Description
A bathroom scale, a car's suspension, a diving board, the cushion you're sitting on right now — all of them run on one equation. In this video we put Hooke's Law to work on real problems, then push it as far as it'll go: a cart held between two springs, released and left to oscillate. Free-body diagram, Newton's second law, and a first look at the differential equation that secretly governs it — with the full solution saved for our Oscillations unit later this year.
✅ Apply Hooke's Law to solve for force, spring constant, or displacement
✅ Set up and solve Newton's second law problems involving a spring force
✅ Read a spring constant directly off a force vs. displacement graph
⏱️ Timestamps
0:00 – Hook & objectives
0:27 – Where springs show up in everyday life
0:44 – Hooke's Law: F = kΔx
1:05 – Worked example: finding k from a hanging mass
2:00 – Same spring, new mass: finding the stretch
2:53 – Newton's second law with a spring
4:15 – Reading a force vs. displacement graph
4:46 – The big one: a cart between two springs
5:08 – Demo: watching it oscillate
5:40 – Free-body diagram at the far position
6:41 – Combining into a single restoring force
7:23 – A first look at the differential equation
8:59 – Sketching x(t) and v(t)
12:15 – What's ahead in Oscillations
This video is part of the MasteryFlip approach to AP Physics C — watch, take notes, then come to class ready to work problems together. If you're a teacher curious about flipping your own classroom, check out the ReachEveryStudent Podcast, new episodes every Monday.
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