Created By : Naaz Fatima

Reviewed By : Phani Ponnapalli

Last Updated : May 18, 2023

Impulse and Momentum Calculator is a handy tool that takes mass, velocity as inputs and determines the impulse and momentum in no time. The tool is easy to use and makes your calculations much simpler and explains the work.

Choose a Calculation:
Initial velocity (v₁)
Final velocity (v₂)
Mass

Choose a Calculation:
Force
Time

Choose a Calculation:
Mass
Velocity

### Impulse and Momentum - Definitions

Momentum is defined as mass in motion, and it can exist in any moving object. The change in momentum of an object is equal to its impulse. The force multiplied by the time gap equals the impulse. Impulse is not the same as momentum; rather, it is the rise or reduction in momentum of an object.

### Impulse-momentum Equation

Follow the below sections to learn about the Impulse Momentum Equation. They are as under

The product of an object's mass m and velocity v is the vector value momentum 'p' and it is given by formula p=mv

The term impulse 'J' refers to a change in a body's momentum J=Γêåp

J= p2-p1

J= mv2-mv1 (Since, p=mv)

J= mΓêåv

The symbol for "change" is delta (Γêå). For instance, while p represents the instantaneous momentum, Γêåp represents the change in momentum over the period of time.

### How to find Impulse and Momentum?

Go through the step by step procedure outlined below for your reference and find the impulse and momentum values easily. They are along the lines

Impulse

• Firstly, identify the given inputs mass, initial velocity, final velocity or momentum, etc.
• Later substitute the known values in the equation J= mΓêåv.
• Perform required mathematical calculations and simplify the result further to obtain the Impulse.

Momentum

• Determine the object’s mass and velocity.
• Now, substitute the input values in the formula of determining the momentum i.e. p=mv
• Simplify further to obtain the momentum result.

### Relationship between Impulse and Momentum

According to, newton's second law of motion F = dp/dt

By substituting the value in impulse equation (since J=Fdt), we get J=dp/dt dt

J=dp or J=m dv

### Impulse Equation

The impulse J is defined as the product of time t and the force F exerted on a body: Ft = J. Both momentum and impulse are measured in newton-seconds (symbol: Ns) and expressed in kilograms per second (kgm/s) in SI units.

### How to Use the Impulse and Momentum Calculator?

Follow the simple and easy guidelines listed below on how to use the impulse and momentum calculator over here.

• Firstly, provide the inputs mass, initial, final velocities, etc. in the allotted input fields.
• Then, tap on the calculate button to avail the output.
• Now, you will be redirected to a new window displaying the output impulse, momentum values in no time.

For more concepts check out physicscalculatorpro.com to get quick answers by using this free tool.

### Impulse and Momentum Examples

Question 1: Determine the impulse if the initial and final velocities are 60 m/s and 200 m/s then mass is 30 kg?

Solution:

Let the initial velocity be v1=60 m/s

Let the initial velocity be v2= 200 m/s

We have the mass, m = 30 kg

Put values into the impulse formula

We know that,

Impulse J=mvΓéé - mvΓéü

J=30(200)-30(60)

Impulse (J)=4200 N.s

### FAQs on Impulse and Momentum Calculator

1. What would be the formula for determining velocity based on momentum and impulse?

Formula for velocity based on momentum and impulse is Velocity Change, v=I/m where I stands for Impulse, m for Mass, v for Velocity Change.

2. How to take away the Impulse using the Calculator?

You can use our calculator to get the impulse straight from the impulse formula J = p by entering the starting and final momentum values.

3. How to find Impulse?

You may use the equation J= mv to compute the impulse by entering the mass and velocity change of an object. Enter the values of force and time change instead if you know the force operating on the item.