Newton's Second Law Calculator

Enter any two of force, mass, and acceleration (use consistent units), then click calculate to get the missing value.

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Fill exactly two of the three fields and the third will be calculated.
Result
Mechanics Diagram
Newton's Second Law: \(F = m a\)

About the Newton's Second Law Calculator

Newton's second law states that acceleration is proportional to the net force and inversely proportional to mass.

With F for net force, m for mass, and a for acceleration, the law is written as F = m · a. This tool uses that relationship for mutual calculation.

If mass and acceleration are known, compute force; if force and mass are known, compute acceleration; if force and acceleration are known, compute mass.

Use consistent units such as N, kg, and m/s². Mixed units can lead to incorrect magnitudes.

Net force is the vector sum of all forces. When friction or other forces exist, resolve the net force first.

All inputs should be greater than zero. If the result seems off, recheck signs, units, and whether you used net force.

Q&A: Newton's Second Law and Applications

1. What is the basic formula of Newton's second law?

F = m · a, where F is net force, m is mass, and a is acceleration.

2. What is the SI unit of force?

The newton (N), where 1 N = 1 kg·m/s².

3. How is acceleration direction related to force?

Acceleration points in the same direction as the net force.

4. What happens if net force is zero?

Acceleration is zero; the object stays at rest or moves at constant velocity.

5. What happens to acceleration if mass increases with the same force?

Acceleration decreases.

6. Why must we use net force instead of a single force?

Motion is determined by the vector sum of all forces, not just one of them.

7. How do you handle friction?

Compute net force by subtracting friction (and other opposing forces) first.

8. Can mass be zero or negative?

Mass should be positive; zero or negative values are not physical.

9. Does F = m · a work for rockets?

It can be a first approximation, but variable mass systems need a more complete treatment.

10. Why is unit consistency important?

The formula is dimensionally strict; mixed units produce incorrect results.

Newton's Second Law Tool

Quickly convert between force, mass, and acceleration for study, engineering estimates, and lab checks.

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