Physics Formula
Newton's Second Law Formula
Relates net force to mass and acceleration.
Formula Summary
Newton's Second Law
Relates net force to mass and acceleration.
- Category
- Physics
- Equation
- F = m × a
- Calculator
- Use Newton's Second Law Calculator →
Equation
F = m × a
Variables
- F = force
- m = mass
- a = acceleration
Units
- Force: Newton (N)
- Mass: kilogram (kg)
- Acceleration: meters per second squared (m/s²)
When To Use This Formula
Use this formula when calculating the net force acting on an object from its mass and acceleration, especially in mechanics and motion problems.
Rearranged Equations
- m = F / a
- a = F / m
How to Use This Formula
- Identify the known values from the problem statement.
- Convert all values into compatible units.
- Substitute the values into the equation and calculate the result.
- Check that the final answer has the correct unit and meaning.
Explanation
Newton's Second Law states that the net force acting on an object equals its mass multiplied by its acceleration. It explains how forces change the motion of objects.
Worked Example
If a 5 kg object accelerates at 2 m/s², the required force is 5 × 2 = 10 N.
Common Mistakes
- Using total mass incorrectly when calculating net force.
- Forgetting that acceleration must use consistent units.
- Ignoring the direction of force and acceleration.
Applications
- Vehicle acceleration calculations.
- Engineering force analysis.
- Motion and mechanics experiments.