Momentum Calculator

Calculate momentum, impulse, and kinetic energy. Understand the relationship between mass, velocity, and force in collisions and motion.
Calculator
Enter your values
Results
10.00 kg*m/s
Momentum
50.00
Kinetic Energy (J)
10.00
Impulse (N*s)
Momentum Analysis
Understanding momentum and energy

Momentum

The object has a momentum of 10.00 kg*m/s. This is the product of its mass (1 kg) and velocity (10 m/s).

Impulse

A force of 10 N applied for 1 s results in an impulse of 10.00 N*s. This impulse causes a change in momentum equal to 10.00 kg*m/s.

Kinetic Energy

The object possesses 50.00 Joules of kinetic energy. Note that kinetic energy scales with the square of velocity.

How to Use

Step-by-step instructions
  1. 1Enter the mass of the object
  2. 2Input the velocity of the object
  3. 3Set the force applied (for impulse calculation)
  4. 4Enter the time duration of the force
  5. 5Review the calculated momentum and related quantities

Momentum Formula

Momentum (p) is the product of mass and velocity. Impulse (J) is the change in momentum, equal to force multiplied by time.
p = mv, J = F?t

Variables:

pMomentum (kg*m/s)
mMass (kg)
vVelocity (m/s)
JImpulse (N*s)
FForce (N)
tTime (s)

Example

Momentum Example

Inputs:

Mass:1 kg
Velocity:10 m/s
Force:10 N
Time:1 s

Steps:

  1. 1.Calculate momentum: p = mv = 1 x 10 = 10 kg*m/s
  2. 2.Calculate kinetic energy: KE = (1/2)mv^2 = 0.5 x 1 x 10^2 = 50 J
  3. 3.Calculate impulse: J = Ft = 10 x 1 = 10 N*s
  4. 4.Note: Impulse equals change in momentum
Result:
Momentum: 10 kg*m/s | KE: 50 J | Impulse: 10 N*s

Frequently Asked Questions

What is momentum?

Momentum is a vector quantity defined as the product of an object's mass and velocity. It represents the 'quantity of motion' an object possesses.

What is impulse?

Impulse is the change in momentum of an object when a force is applied over a period of time. It is equal to the integral of force with respect to time.

How is momentum related to kinetic energy?

Both depend on mass and velocity, but momentum is proportional to velocity (mv) while kinetic energy follows KE = (1/2)mv^2.