Newton’s three laws form the heart of classical mechanics: the first defines inertial frames and the principle of inertia, the second links force, mass and acceleration (F=ma\sum\vv F = m\vv a), the third governs action–reaction pairs. Two historical interludes tell the story of the birth of the Principia and the mystery of inertial versus gravitational mass.

Try it — interactive simulation

Apply a force by dragging the mouse: the object accelerates as a = F/m. Change the mass with the slider; watch force (red), velocity (blue) and the trail.