Momentum calculator

Type mass m and speed v. The calculator computes p = m v. 70 kg and 1.4 m/s is 98 kg·m/s. 50 km/h is 13.9 m/s, not 50 in an m/s field.

Impulse: J = F Δt. Braking: decelerated motion.

Inputs

Result

Mass and Speed (m/s). Momentum shows up here.

How it works

m v p = m·v
Momentum couples mass with velocity - a slow truck can out-punch a fast bicycle.

Momentum is mass times speed: p = m v. A 70 kg walker at 1.4 m/s (about 5 km/h) has 98 kg·m/s. A 1400 kg car at 13.9 m/s, about 50 km/h, has 19,460 kg·m/s, the 19,500 order on the page. A rider plus bike at 85 kg and 6.9 m/s (about 25 km/h) has about 587 kg·m/s. A bike at 80 kg and 8 m/s is 640 kg·m/s. A 0.43 kg ball at 30 m/s is 12.9 kg·m/s. A 0.06 kg ball at 55 m/s is 3.3 kg·m/s.

A 40,000 kg rig at 22.2 m/s (about 80 km/h) is 888,000 kg·m/s. A 2,000,000 kg consist at 16.7 m/s (about 60 km/h) is 33,400,000 kg·m/s. A 75 kg skater at 12 m/s is 900 kg·m/s. That is why a train takes long to stop and a bike does not: larger m v is harder to change. Twice the v at the same mass is twice the p, but four times Ek, because Ek = ½ m v².

Mass is in kilograms, speed in m/s on the label. The result is in kg·m/s. 50 in an m/s field is 180 km/h, not fifty on the speedo. 72 km/h is 20 m/s. Type 50 km/h as 13.9. A comma and a period are the same v: 1,4 and 1.4. Typed 0 kg or 0 m/s gives p = 0. Both fields need a number before 98 can appear. Momentum is a vector: direction matters when you add momenta. This calculator computes the value m v.

Change of momentum lives on impulse: J = F Δt = Δp. 1000 kg from 20 m/s to rest is 20,000 kg·m/s. Stopping distance and decelerated motion give s and t, not momentum. Here the product stands alone.

The US switch may show pounds on the mass label, but you still want v in m/s from the label. Convert 50 km/h to 13.9 before you type v. The header symbol does not push momentum.

Type 70 and 1.4, click Calculate, and match 98 kg·m/s. Then 1400 and 13.9. Treat 19,500 as the order of a car at 50 km/h, not as energy in joules.

How to use

  1. In the first field enter mass in kilograms, for example 70 or 1400.
  2. In the second field enter v in m/s. 1.4 is an easy walk. 50 km/h is 13.9 m/s, not 50.
  3. Click Calculate. The calculator multiplies m by v. 70 kg and 1.4 m/s give 98 kg·m/s.
  4. Typed 0 gives p = 0. Both fields need a number. 50 in an m/s field is 180 km/h.
  5. Want a change of momentum? Open impulse J = F Δt. Energy is on Ek. Here it stays p = m v.

Formula

p = m · v

m is the mass and v is the velocity in m/s. The result p comes out in kg·m/s. Momentum is a vector, so direction matters when you add momenta together.

p, m, and v in momentum m·v

Momentum in this calculator is mass times velocity. 70 kg at 1.4 m/s is 98 kg·m/s. Direction of v matters when you add momenta; the calculator computes one component.

p
Momentum: p = m v. 70 kg at 1.4 m/s is 98 kg·m/s. 1400 kg at 13.9 m/s is about 19,460 kg·m/s.
m
Mass in kilograms. Zero kg gives p = 0. 40,000 kg at 22.2 m/s is 888,000 kg·m/s.
v
Speed in m/s. 50 km/h is 13.9 m/s, not 50 in the field. Twice v is twice p, but four times Ek.
kg·m/s
The unit of p. Same as N·s. A change of momentum is on impulse: J = Δp.

Real-life examples

Example 1

A 70.0 kg walker moving at 1.4 m/s (about 5 km/h).

Example 2

Rider plus bike, 85.0 kg total, at 6.9 m/s (about 25 km/h).

Example 3

A 1400 kg car rolling at 13.9 m/s (about 50 km/h).

Example 4

A 0.43 kg ball flying 30 m/s after a hard shot.

Example 5

A 0.06 kg ball at 55 m/s (a 193 km/h serve).

Example 6

A 40000 kg rig cruising at 22.2 m/s (about 80 km/h).

Example 7

A 75.0 kg skater on the straight: 12 m/s.

Example 8

A 2000000 kg consist rolling at 16.7 m/s (about 60 km/h).

Example 9

A 0.00 kg mosquito cruising at 0.5 m/s: on the axis.

Example 10

A chest pass: a 0.62 kg ball at 7 m/s.

Frequently asked questions

How much p at 70 kg and 1.4 m/s?

p = 70 × 1.4 = 98 kg·m/s. An easy walk, about 5 km/h.

How much at 1400 kg and 50 km/h?

50 km/h = 13.9 m/s. p = 1400 × 13.9 = 19,460 kg·m/s, the 19,500 order on the page.

Which units do I type?

m in kg and v in m/s on the label. The result is p = m v in kg·m/s.

Is 50 in the field 50 km/h?

If the label is m/s, 50 is 180 km/h. 50 km/h = 13.9 m/s. 72 km/h = 20 m/s.

How is momentum different from kinetic energy?

p = m v. Ek = ½ m v². Different formula, different unit. Twice the v is twice the p and four times Ek.

Where is impulse?

On the impulse page: J = F Δt = Δp. 1000 kg from 20 m/s to rest is 20,000 kg·m/s.

How much at 85 kg and 6.9 m/s?

p ≈ 587 kg·m/s. At 80 kg and 8 m/s that is 640 kg·m/s. At 0.43 kg and 30 m/s that is 12.9 kg·m/s.

Does a comma in 1.4 work?

Yes. 1,4 and 1.4 mean the same v [m/s]. Then p scales with that speed.

Does momentum have a direction?

Yes. Direction matters when you add momenta. This calculator computes the value m v.

How much at a 2,000,000 kg consist and 16.7 m/s?

p = 33,400,000 kg·m/s. At 40,000 kg and 22.2 m/s that is 888,000 kg·m/s.

Knowledge sources

The formula is the school one. Units follow SI; NIST SP 330 and BIPM define the measures, not your result.

Page updated in 2026.