Force Calculator, Newton’s Second Law Calculator (Force, Mass, Acceleration)

Force Calculator, calculate force f=ma

This calculator helps engpocket friends to determine force, mass, or acceleration using Newton’s Second Law of Motion, which says that force acting on an object is equal to the mass of that object multiplied by its acceleration.

What is force & Newton’s Law?

Force is a vector quantity that can change the motion of an object or cause deformation. In the International System of Units (SI), force is measured in Newtons (N).

Why we call Newton? Why we used it?

Sir Isaac Newton (1642–1727) was an English mathematician, physicist, astronomer, and author who is famously recognized as one of the most influential scientists and a key figure in the scientific revolution.

We use Newton’s Laws because it acts as the operating system of the physical world for engineers and scientists. Even though Albert Einstein later developed the Theory of Relativity for extreme speeds (near light speed), Newton’s laws still remain the standard for 99.9% of engineering tasks on this human earth.

Our force calculator also used Newton’s Law’s as it based.

Key Concepts of this force calculator post:

• Unit of force: The SI unit is the newton (N). One newton is the force required to accelerate a mass of 1 kg at a rate of 1 m/s².
• Vector Nature: Force has magnitude and direction, making it a vector quantity.
• Net force: When multiple forces act on an object, the net force is the vector sum of all individual forces.
• Weight vs Mass: Mass is the amount of matter in an object (kg), while weight is the force of gravity acting on that mass. On Earth, Weight = Mass × 9.8 m/s².

Force / Newton’s Law formula

Want to know how the force calculator works? It used this formula:

$\begin{aligned} \text{Newton’s Second Law:} \\ F &= m \times a \\ \\ \text{Where:} \\ F &= \text{Force (Newtons, N)} \\ m &= \text{Mass (Kilograms, kg)} \\ a &= \text{Acceleration (meter per second squared, } m/s^2 \text{)} \\ \\ \text{Derived Formulas:} \\ m &= \frac{F}{a} \quad (\text{to find Mass}) \\ a &= \frac{F}{m} \quad (\text{to find Acceleration}) \end{aligned}$

Example problem

A warehouse worker pushes a cart with a mass of 50 kg. If the cart accelerates at of 2 m/s², how much force is the worker applying?

Note: We can use the force calculator above or use the following manual calculation:

Mass = 50 kg

Acceleration (a) = 2 m/s²

So, the calculation is:

$\begin{aligned} F &= m \times a \\ F &= 50 \times 2 \\ F &= \mathbf{100 \text{ N}} \end{aligned}$

Now, we know that the worker is doing / applying a 100 Newton force.

This is the end of our force calculator & Newton’s Law post.

We also provide you a kg to metric tons calculator which you can use on this link. Enjoy!