## Calculator

## Define Impulse

- Impulse in physics in simple terms is defined as the integral of the force with respect to time. In this case the force is expressed as a function of time i.e. the force changes with respect to time.
- Impulse can also be defined as the area under the force vs time curve.

- The impulse formula is given as follows- \text { Impulse }=\int_{t_{1}}^{t_{2}} F_{(t)} \cdot d t
- The SI unit of impulse are N-s or kg-m/s
- Dimensional formula of impulse is \left[\mathrm{M}^{1} \mathrm{~L}^{1} \mathrm{~T}^{-1}\right]

## Formula for momentum

In the case of impulse momentum we are more interested in the linear momentum as compared to the angular momentum.

Linear Momentum is defined as the product of mass and linear velocity by which the mass is moving.

Formula for momentum = m * v

SI unit of momentum is kg-m/s

Dimensional formula of momentum is \left[\mathrm{M}^{1} \mathrm{~L}^{1} \mathrm{~T}^{-1}\right]

## Impulse Momentum Theorem

Impulse momentum theorem is derived from Newtons 2nd law which states that the rate of change of momentum of a body over time is directly proportional to the force applied.

F=m * a

F=m * \frac{d v}{d t}

\int_{t_{1}}^{t_{2}} F d t=\int_{u}^{v} m d v

\int_{t_{1}}^{t_{2}} F d t=m*(v-u)

## How to use calculator

- This impulse momentum calculator can calculate the force required, mass required, change in velocity, initial or final velocity and work done.
- Select what quantity is to be found out.
- Select the given quantities from the drop down.
- Enter the values of the given quantities.
- User can change the units of the quantities if required.
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