Work and the work–energy theorem
Why is ½mv² the combination that matters, and not mv or mv³?
Classical · Module 03
The shift from forces to conservation laws. Instead of integrating the whole messy interaction, you compare the before and the after — which is why this module feels like a cheat code.
By the end of this module
You can solve problems where the forces are unknown, using conserved quantities alone.
Why is ½mv² the combination that matters, and not mv or mv³?
What does it mean for energy to be 'conserved' if I cannot point at it?
Caltech
The 28-blocks parable. If you read one thing in this module, read this.
Why does momentum survive collisions that destroy kinetic energy?
PhET
Set elasticity to 0 and watch momentum hold while energy does not.
Why does the same mass resist spinning differently depending on where it sits?
Why does a spinning top refuse to fall?
Veritasium
The clearest physical explanation of why the torque turns the axis instead of tipping it.
Can one inverse-square law produce all three of Kepler's rules?
Caltech
Newton proved the ellipse with geometry alone. It is worth seeing once.
Check yourself
Every answer comes with the reasoning, not just a verdict. Getting one wrong and reading why is the point.
01A 2 kg ball at 3 m/s strikes a stationary 4 kg ball and they stick together. The final speed is:
02Two objects of equal mass, a solid disc and a hoop, roll from rest down the same ramp. Which reaches the bottom first?
03A skater pulls her arms in and spins faster. Her kinetic energy: