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# Newton's Second Law Calculator

Choose net force, mass, or acceleration, fill the required input boxes, and press the calculate button using Newton’s second law (f=ma) calculator

## Newton’s second law calculator

Newton’s second law calculator manipulates the given data values to find the unknown in Newton’s second law. The calculator finds the values in a very easy way with units.

## What is Newton’s second law?

According to Newton's second law of motion, an object's acceleration is directly proportional to the net force exerted on it and inversely proportional to its mass.

It can be represented mathematically as

**F = ma**

**F**is the net force acting on an object,**m**is the item's mass, and**a**is the acceleration caused by the net force.

This law states that the larger the force applied to an item, the greater its acceleration, and the greater the mass of the object, the smaller its acceleration for a given force.

## What is the Unit of force?

The newton (sign N) is the SI unit of force. It is the force needed to accelerate a one-kilogram mass at one meter per second squared.

The basic unit of force is

`1N = 1kgms`

^{-2}

## Examples:

We have to solve some numerical examples to understand how Newtown second law works.

**Example 1:**

Find the net force when the mass of the object is **12 kg **moving with an acceleration of **16 ms ^{-2}**.

**Solution:**

**Step 1: **first we have to write the data from the given information

`m = 12kg`

`a = 16 ms`

^{-2}

`F=?`

**Step 2:** The formula to determine the force is

`F = ma`

**Step 3:** Put the value in the above formula and simplify it

F= (12) (16)

`F= 192 N`

**Example 2:**

A force of **20 N** acts on a car to produce **10 ms ^{-2}**. what is the mass of the car?

**Solution:**

**Step 1: **first we have to write the data from the given information

`a = 16 ms`

^{-2}

`F = 20 N`

`m=?`

**Step 2:** The formula to determine the force is

`m = F/a`

**Step 3:** Put the value in the above formula and simplify it

m = 20/10

`m = 2 kg`

Hence the mass of the car is 2kg.