Momentum & Impulse Calculator
What is Momentum and Impulse?
Momentum and Impulse are core concepts in classical mechanics that describe the motion of objects and the effect of forces acting over time. Momentum represents how difficult it is to stop a moving object, while impulse explains how a force changes an object’s motion.
Momentum (p) is defined as the product of mass and velocity:
p = m × v
Where:
• m = mass (kg)
• v = velocity (m/s)
Impulse (J) is defined as the change in momentum of an object. It can be written as:
J = Δp = m(v − u)
This equation shows that impulse depends on how much the velocity of an object changes. Impulse is measured in Newton-seconds (N·s).
How to Use This Calculator
This calculator allows you to compute Momentum change (Impulse), mass, or velocity by entering any three known values.
Steps:
1. Enter any three values (mass, initial velocity, final velocity, impulse).
2. Leave the unknown field empty.
3. Click Calculate.
4. The missing value will be calculated automatically and highlighted.
Worked Example
Suppose a ball of mass 2 kg is moving with an initial velocity of 3 m/s. After being struck, its velocity becomes 7 m/s.
Impulse:
J = m(v − u)
J = 2 × (7 − 3)
J = 8 N·s
This means an impulse of 8 Newton-seconds was applied to the ball to change its velocity.
Real-World Applications
• Sports physics (cricket, football, boxing)
• Vehicle safety and crash analysis
• Rocket propulsion
• Ballistics and defense applications
• Engineering and mechanical system design
Understanding momentum and impulse helps students and engineers analyze collisions, stopping distances, and force interactions accurately. This calculator makes those calculations quick, precise, and easy to understand.
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