03 // Bidirectional STEM Calculators // PHYSICSp = m × v

Linear Momentum & Impulse Velocity Calculator

Linear momentum p is a conserved vector quantity equal to the product of a body's inertial mass m and translational velocity v: p = m × v.

p = m × v

Pick which value you want to calculate (or type into any field):Solving for: p (kg·m/s) — Linear Momentum

Linear MomentumCalculated

Translational momentum in kg·m/s (or N·s)

0.0110,000,000.00

unit

Object Mass

Body mass in kilograms

0.01100,000.00

Velocity

Linear speed in meters per second

0.011,000.00

Calculated Result · Linear Momentum (p (kg·m/s))

36,000.00

Step-by-Step Calculation

01Canonical Law: p = m × v

02Given Inputs (Base Units): m = 1,800 kg, v = 20 m/s

03Solve for p (kg·m/s) (Linear Momentum): p (kg·m/s) = 36,000

Linear momentum p is a conserved vector quantity equal to the product of a body's inertial mass m and translational velocity v: p = m × v.

Impulse-Momentum TheoremΔp = F_avg × Δt

1 kg·m/s is dimensionally identical to 1 Newton-second (N·s)

NFL Linebacker Sprint110 kg @ 8.5 m/s = 935 N·s

High-impulse collision dynamics

Kinetic Energy RelationE_k = p² / (2m)

Links momentum directly to translational energy

Linear Momentum (p (kg·m/s)) · Object Mass (m)

Compare across:

Linear Momentum & Impulse Velocity Calculator — Object Mass → Linear Momentum
#	Object Mass (kg)	Linear Momentum (p (kg·m/s))	Δ %
01	0.01 kg	0.2	-100.00%
02	818.4305 kg	16,368.61	-54.53%
03	1,800.00 kgCurrent	36,000.00	0.00%
04	2,455.27 kg	49,105.43	+36.40%
05	3,273.69 kg	65,473.84	+81.87%
06	4,092.11 kg	81,842.25	+127.34%
07	4,910.53 kg	98,210.65	+172.81%
08	5,728.95 kg	114,579.06	+218.28%
09	6,547.37 kg	130,947.47	+263.74%
10	7,365.79 kg	147,315.88	+309.21%
11	8,184.21 kg	163,684.29	+354.68%
12	9,002.63 kg	180,052.70	+400.15%
13	9,821.06 kg	196,421.11	+445.61%
14	10,639.48 kg	212,789.52	+491.08%
15	11,457.90 kg	229,157.93	+536.55%
16	12,276.32 kg	245,526.34	+582.02%
17	13,094.74 kg	261,894.75	+627.49%
18	13,913.16 kg	278,263.15	+672.95%
19	14,731.58 kg	294,631.56	+718.42%
20	15,550.00 kg	310,999.97	+763.89%

Was this tool helpful?

Why are kg·m/s and Newton-seconds (N·s) identical?+

Since 1 N = 1 kg·m/s², multiplying by seconds (N·s) cancels one factor of time to yield kg·m/s.

How is momentum conserved in an inelastic collision?+

Even when kinetic energy is lost to heat and deformation, total vector momentum (m₁v₁ + m₂v₂) remains strictly constant in an isolated system.

How do I find average impact force from momentum?+

Divide the change in momentum Δp by the collision contact duration Δt: F_avg = Δp / Δt.