Momentum Calculator

Linear momentum, impulse, and kinetic energy from mass and velocity.

Inputs

Mass (kg)

Velocity (m/s)

Applied Force (N)

Force Duration (s)

Tab to move between fields

Results

Momentum (kg·m/s)

Kinetic Energy (J)

250

Impulse (N·s)25

Velocity Change (m/s)5

Final Velocity (m/s)15

Final Momentum (kg·m/s)75

Momentum Change (kg·m/s)25

De Broglie0

How to Use This Calculator

Enter mass (kg) and current velocity (m/s) of the object.
Enter applied force (N) and force duration (s) for the impulse calculation.
Read momentum (kg·m/s) and kinetic energy (J).
Review impulse (N·s), velocity change (m/s), and final velocity (m/s) after the impulse.
Confirm that momentum change equals the applied impulse.

How the result changes with Mass (kg)

Mass (kg)	Momentum (kg·m/s)	Kinetic Energy (J)
100,000,000	1,000,000,000	5,000,000,000
350,000,000	3,500,000,000	17,500,000,000
650,000,000	6,500,000,000	32,500,000,000
900,000,000	9,000,000,000	45,000,000,000

What each input means

Mass (kg): Mass of the object in kilograms.
Velocity (m/s): Current velocity (positive direction).
Applied Force (N): Force applied for impulse calculation.
Force Duration (s): Duration the force is applied.

What each result means

Momentum (kg·m/s): p = mv. Linear momentum.
Kinetic Energy (J): KE = ½mv².
Impulse (N·s): J = F·Δt. Change in momentum from applied force.
Velocity Change (m/s): Δv = J/m.
Final Velocity (m/s): v_f = v_i + Δv.
Final Momentum (kg·m/s): Momentum after impulse.
Momentum Change (kg·m/s): Δp = J. Should equal impulse.

How this is calculated

Worked example, using the default values

Identify Input Parameters
4 parameters
Mass (kg) = 5, Velocity (m/s) = 10, Applied Force (N) = 50, Force Duration (s) = 0.5 = 4 input(s) provided
Calculate Momentum
Momentum = massKg * velocityMs
50 = 50
Calculate Kinetic Energy
Kinetic Energy = 0.5 * massKg * velocityMs * velocityMs
250 = 250
Calculate Impulse
Impulse = forceN * timeDurationS
25 = 25
Calculate Velocity Change
Velocity Change = forceN * timeDurationS / massKg
5 = 5

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