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Select a Calculation
Choose whether you want to find force, mass, or acceleration.
Newton's Second Law Calculator
Force Calculator
Calculate force, mass, or acceleration using Newton's second law of motion. Enter any two known values, select their units, and get an accurate result with automatic unit conversion.
Calculate Force
Enter mass and acceleration to calculate force.
Try an example:
Calculated Force
50 N
Formula used
F = m × a
Calculation
10 kg × 5 m/s²
Base SI result
50 N
Simple Instructions
How to Use the Force Calculator
This calculator can solve for any variable in Newton's second law. You only need to provide the other two known values.
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Enter Known Values
Add the two available values and select the correct measurement units.
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View Your Result
Click the calculation button to see the answer, formula, and working steps.
Understanding the Science
What Is Force?
Definition of Force
Force is a push or pull that can change an object's motion. It can cause an object to accelerate, slow down, stop, or change direction.
In the International System of Units, force is measured in newtons. One newton is the force needed to accelerate a mass of one kilogram by one meter per second squared.
Newton's Second Law
Newton's second law states that an object's acceleration depends on the net force acting on it and its mass. A larger force produces greater acceleration when mass remains constant.
A heavier object requires more force to achieve the same acceleration as a lighter object.
Worked Example
Force Calculation Example
Suppose a worker pushes a 20-kilogram box and causes it to accelerate at 3 meters per second squared.
Known values:
Mass = 20 kg
Acceleration = 3 m/s²
Therefore, the net force acting on the box is 60 newtons.
Practical Information
Where Force Calculations Are Used
Vehicles and Transportation
Engineers calculate force when studying vehicle acceleration, braking performance, collisions, engines, and safety systems.
Machines and Engineering
Force calculations help engineers design motors, lifting equipment, mechanical systems, tools, and industrial machinery.
Sports and Biomechanics
Coaches and researchers measure forces involved in running, jumping, throwing, cycling, and other physical movements.
Aerospace and Space Science
Scientists use force equations to study rocket thrust, gravity, aircraft motion, satellite movement, and orbital mechanics.
This tool calculates force using ideal mathematical relationships.
Real systems may also involve friction, air resistance, gravity,
tension, and other forces.
Common Questions
Force Calculator FAQs
Force is calculated using F = m × a, where F represents force, m represents mass, and a represents acceleration.
The SI unit of force is the newton, represented by the symbol N. One newton equals one kilogram meter per second squared.
Divide force by acceleration. The formula is m = F ÷ a. For example, 100 N divided by 5 m/s² equals 20 kg.
Divide force by mass. The formula is a = F ÷ m. For example, 60 N divided by 20 kg equals 3 m/s².
Yes. The calculator supports pounds for mass and pound-force for force. It automatically converts values before performing the calculation.
No. Mass measures the amount of matter in an object, while weight is the force caused by gravity acting on that mass. Weight can be calculated using W = m × g.