Free · Dynamics calculators — Why things move ➡️

Linear Momentum Components & Vector Magnitude

Calculate one-dimensional momentum or three Cartesian momentum components and magnitudes from positive mass and signed velocities.

Calculator inputs

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Enter the known values in the units shown. Results update as you type.
Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
Use the worked example to check the method. Reset restores the starting fields.

Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.

A 2 kg object with velocity components 3, 4 and 0 m/s has momentum components 6, 8 and 0 kg·m/s, with magnitude 10 kg·m/s.

Momentum component = mass × velocity component; vector magnitude = √(x² + y² + z²)

Enter these known values and leave the other values blank.

The scalar calculation and the three-dimensional calculation use separate mass fields. Set both if comparing their results.
Components are signed in a fixed Cartesian coordinate system. Magnitudes are nonnegative, and a stationary object has zero momentum.
Mass must be positive. This is the classical relation p = mv, without relativistic effects.
Recovering a component from a magnitude is sign-ambiguous. The retained square-root inverse chooses a nonnegative component; enter the signed component directly when direction is known.
A zero velocity and zero momentum do not uniquely determine mass. The calculator cannot infer missing physical information from that pair.

No. Perpendicular components combine by the square root of their squared sum; their ordinary sum is not the vector magnitude.

Bookify accepts stationary bodies and zero momentum magnitudes while retaining positive masses and component-direction checks.