 Online Calculators

# Impulse-Momentum Calculator

Impulse-Momentum Calculator
$$F = \dfrac{m \Delta v}{\Delta t}$$
applied force
F =
units
change in time
mass
change in velocity

## Calculator Use

The Impulse Momentum Calculator uses the formula FΔt = mΔv, or force F multiplied by the change in time Δt equals mass m times the change in velocity Δv.

Calculate force F, change in time Δt, mass m, velocity change Δv, initial velocity v1 or final velocity v2. We also calculate impulse J (Δp) and provide it below the answer for all calculations.

## Impulse-Momentum Formula

$$FΔt = mΔv$$

Where:

• F = applied force
• Δt = change in time
• m = mass
• Δv = change in velocity

In this calculator we use Δt as the time interval. Instead of entering initial time t1 and final time t2, just enter the elapsed time.

You may recognize the left side of the impulse-momentum equation from the impulse formula:

$$J = FΔt$$

and the right side of the equation from the momentum formula:

$$p = mv$$

Change in momentum can be written as:

$$Δp = mΔv$$

As impulse is the change in momentum we get the impulse-momentum equation from the equality:

$$J = FΔt = Δp = mΔv$$

## Calculations Using the Impulse Momentum Formula:

Use the impulse momentum equation to find force, elapsed time, mass, change in velocity, v1, or v2.

Calculate F | Given m, Δv, Δt
Calculate force given mass, change in velocity and change in time.

$$F = \dfrac{m \Delta v}{\Delta t}$$

Calculate F | Given m, v2, v1, Δt
Calculate force given mass, initial velocity, final velocity and change in time.

$$F = \dfrac{m (v_2 - v_1)}{\Delta t}$$

Calculate Δt | Given m, Δv, F
Calculate elapsed time given mass, change in velocity and force.

$$\Delta t = \dfrac{m \Delta v}{F}$$

Calculate Δt | Given m, v2, v1, F
Calculate elapsed time given mass, initial velocity, final velocity and force.

$$\Delta t = \dfrac{m (v_2 - v_1)}{F}$$

Calculate m | Given F, Δt, Δv
Calculate mass given force, change in time and change in velocity.

$$m = \dfrac{F \Delta t}{\Delta v}$$

Calculate m | Given F, Δt, v2, v1
Calculate mass given force, change in time, initial velocity and final velocity.

$$m = \dfrac{F \Delta t}{v_2 - v_1}$$

Calculate Δv | Given F, Δt, m
Calculate change in velocity given force, change in time and mass.

$$\Delta v = \dfrac{F \Delta t}{m}$$

Calculate v1 | Given F, Δt, m, v2
Calculate initial velocity given force, change in time, mass and final velocity.

$$v_1 = v_2 - \dfrac{F \Delta t}{m}$$

Calculate v2 | Given F, Δt, m, v1
Calculate final velocity given force, elapsed time, mass and initial velocity.

$$v_2 = \dfrac{F \Delta t}{m} + v_1$$

Cite this content, page or calculator as:

Furey, Edward "Impulse-Momentum Calculator F Δt = m Δv" at https://www.calculatorsoup.com/calculators/physics/impulse-momentum.php from CalculatorSoup, https://www.calculatorsoup.com - Online Calculators

Last updated: October 11, 2023