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Force Calculator (F = ma)

Force Calculator (F = ma)

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This calculator solves F = ma for whichever variable you need, e.g. a 10 kg object accelerating at 5 m/s² requires a force of 50 N.

Newton's second law states that force equals mass times acceleration. Choose which variable you want to solve for, enter the other two known values, and this calculator computes the missing one.

This relationship is the foundation nearly every other calculator in this dynamics category builds on in some way — momentum, work, and energy calculations all ultimately trace back to force and the motion it produces. Force is measured in newtons, where one newton is defined as exactly the force needed to accelerate a 1 kg mass at 1 m/s² — a definition that makes the units in F = ma work out cleanly without any extra conversion factor, unlike some other physics formulas that require a constant to make the units match.

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  • F = m × a, so a 10 kg object accelerating at 5 m/s² requires a net force of 50 N.
  • Force is measured in newtons (N), where 1 N = 1 kg·m/s² - the force needed to accelerate 1 kg at 1 m/s².
  • This is the foundation of all dynamics - every other calculator in this category (momentum, energy, work) builds on this same relationship between force, mass, and motion.

How do I calculate force using Newton's second law?

Multiply the mass by the acceleration: F = m × a.

What force is needed to accelerate a 10 kg object at 5 m/s²?

F = 10 × 5 = 50 N.