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Newton's second law is the cornerstone of classical mechanics: the net force on an object equals its mass times its acceleration, F = m × a. Rearranged, the acceleration a body undergoes is a = F / m, and the mass implied by a known force and acceleration is m = F / a. The result is in newtons (N), the SI unit of force defined as the force that gives a 1 kg mass an acceleration of 1 m/s². This calculator also converts to pound-force and kilogram-force, using 1 N = 0.2248 lbf = 0.1020 kgf.

Choose which quantity to solve for and enter the other two. For example, accelerating a 10 kg mass at 9.8 m/s² takes F = 10 × 9.8 = 98 N — which is also the weight of that mass on Earth, since weight is just the gravitational force m × g. Push a 1,500 kg car to 2 m/s² and you need 3,000 N; halve the mass or the acceleration and the force halves too, because force is directly proportional to both.

Force calculations underpin everything from working out the thrust a rocket needs and the braking force to stop a vehicle, to the tension in a lift cable and the recoil of a firearm. Keep the units consistent — kilograms, metres and seconds give newtons — and remember the law describes the net force: if several forces act, add them as vectors first, then divide by mass to get the actual acceleration.