The simple motor equations
Torque is proportional to current: T = k x I. Back EMF is proportional to speed: E = k x speed. The supply must cover both the back EMF and the resistance loss, so V = E + I x R, which gives speed = (V minus I x R) / k.
This teaching model uses a small hobby motor with k = 0.02 volt seconds per radian, an armature resistance of 1 ohm and 0.1 amp of friction current. The spin in the scene is slowed down about fifty times so you can follow it.
Why stalled motors get hot
If the shaft is held still there is no back EMF at all, so current is limited only by the winding resistance. That stall current can be many times the running current, which is why a jammed motor overheats quickly.