Impulse Calculator (with Velocity)

Understanding Impulse Calculator (with Velocity)

Impulse equals the change in momentum: J = mΔv. This form is useful when you know the mass and velocity change.

How to use this calculator

1. Enter the object's mass in a consistent unit, such as kilograms.
2. Enter the change in velocity, 94v, in meters per second.
3. Click calculate to find the impulse, J.
4. Check the result and make sure the sign matches the direction of the velocity change.

The formula explained

This calculator uses the formula \(J = m \times \Delta v\), which computes impulse from mass and change in velocity. The result is the change in momentum, usually measured in \(\text{kg} \cdot \text{m/s}\) or \(\text{N} \cdot \text{s}\).

• J = impulse
• m = mass
• \(\Delta v\) = change in velocity

Step by step method

1. Write the known values for mass and change in velocity.
2. Multiply the mass by the change in velocity using \(J = m \times \Delta v\).
3. Keep the sign of \(\Delta v\), because a positive or negative change shows the direction of the impulse.

Worked example

Problem. A \(2\,\text{kg}\) cart speeds up by \(3\,\text{m/s}\). Find the impulse.

1. Use \(J = m \times \Delta v\).
2. Substitute the values: \(J = 2 \times 3\).
3. Compute the product: \(J = 6\,\text{kg} \cdot \text{m/s}\).

Tips and common mistakes

• Make sure mass and velocity change use compatible units, because the formula depends on consistent units.
• If the object slows down, \(\Delta v\) may be negative, so the impulse will also be negative.

Frequently asked questions