Mr Calcu | Effortlessly solve for force, mass, or acceleration—get fast, accurate answers in seconds.

Easily calculate force, mass, or acceleration using Newton's Second Law. Boost accuracy, solve faster, and feel confident in every physics calculation.

Newton's Second Law Calculator

Newton's Second Law Calculator Guidelines

Get accurate results in just a few clicks—no physics degree required.

How to Use the Calculator

  • Step 1: Choose which variable to calculate: Force, Mass, or Acceleration.
  • Step 2: Enter the other two known values in appropriate units.
  • Step 3: Use the unit toggle to switch between SI (metric) and Imperial systems.
  • Step 4: Click Calculate to see your result instantly.

Input Tips

  • Use positive real numbers; negative mass is non-physical.
  • Force and acceleration direction matter in vector form — use sign conventions accordingly.
  • Ensure units are consistent to avoid conversion errors.

Advanced Use Cases

  • To simulate low-mass high-acceleration systems (like drones)
  • To model ideal physics scenarios (e.g., frictionless planes)
  • To study real-world forces like thrust, drag, and weight

Newton's Second Law Calculator Description

What Is Newton's Second Law?

Newton's Second Law is fundamental to classical mechanics. It defines the relationship between force, mass, and acceleration:

F = ma

Where:

  • F = Force in newtons (N)
  • m = Mass in kilograms (kg)
  • a = Acceleration in meters per second squared (m/s²)

How the Formula Is Derived

The law originates from Newton’s definition of momentum:

F = d(mv)/dt

Assuming mass is constant:

F = m * dv/dt = ma

This explains how force changes the motion of objects proportionally to their mass and the acceleration applied.

Key Assumptions

  • The object is in an inertial reference frame (not accelerating itself).
  • Only net (total) external forces are included.
  • Mass is constant over time (non-relativistic).

When to Use This Calculator

  • To find force when mass and acceleration are known
  • To calculate mass given force and acceleration
  • To determine acceleration given force and mass

Real-World Relevance

  • Engineering: load calculations and mechanical design
  • Physics labs: motion experiments and frictionless dynamics
  • Space science: propulsion analysis and free-body simulations

Try it now—discover just how simple solving motion equations can be!

Example Calculation

Known ValuesUnknownResult
Mass = 5 kg
Acceleration = 2 m/s²
Force10 N
Force = 10 N
Acceleration = 2 m/s²
Mass5 kg
Force = 10 N
Mass = 5 kg
Acceleration2 m/s²
Mass = 0.5 kg
Acceleration = 100 m/s²
Force50 N
Mass = 0 kg
Acceleration = 5 m/s²
Force0 N (idealized test case)
Force = 0 N
Mass = 1000 kg
Acceleration0 m/s² (static object)
Force = 5 N
Mass = 0.01 kg
Acceleration500 m/s²
Force = 980 N
Mass = 100 kg
Acceleration9.8 m/s² (free fall)

Frequently Asked Questions

Newton's Second Law states that the net force acting on an object equals the mass of the object multiplied by its acceleration (F = ma).

Select the variable you want to find, input the other two values, choose the appropriate units, and click 'Calculate'.

Yes, use the unit toggle to convert between metric (SI) and imperial systems.

A mass of 0 represents a non-physical scenario in most cases, but may be used to simulate objects in a vacuum with negligible mass. The resulting force will be 0 regardless of acceleration.

The object will begin to accelerate depending on its mass. If friction or resistance is present, it may offset the net force.

The current version supports scalar values. For vector resolution, you'll need to resolve forces and accelerations into components manually.

This calculator assumes an inertial frame. For non-inertial frames, fictitious forces (e.g., centrifugal force) must be added manually.

Weight is a specific type of force caused by gravity, calculated using F = mg, where g is the gravitational acceleration (≈ 9.8 m/s²).

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