Momentum Calculator - Linear Momentum

This physics calculator helps you calculate linear momentum using mass and velocity. Momentum is a fundamental concept in physics that describes the quantity of motion of an object.

Momentum Definition

• Linear Momentum: Product of mass and velocity
• Formula: p = mv (Momentum = mass × velocity)
• Vector: Momentum has both magnitude and direction
• Units: kg·m/s (SI unit)

Momentum Units

• kg·m/s: SI unit of momentum
• g·cm/s: CGS unit of momentum
• lb·ft/s: Imperial unit
• slug·ft/s: US customary unit

Momentum Conservation

• Law of Conservation: Total momentum remains constant in isolated systems
• Collisions: Momentum is conserved in all collisions
• Explosions: Total momentum before = total momentum after
• External Forces: Only external forces change total momentum

Applications

• Collision Analysis: Car crashes and impact studies
• Sports: Ball motion and player collisions
• Rocket Propulsion: Conservation of momentum in space
• Particle Physics: Subatomic particle interactions
• Engineering: Impact testing and safety design
• Astronomy: Celestial body interactions

Types of Momentum

• Linear Momentum: Motion in a straight line (p = mv)
• Angular Momentum: Rotational motion (L = Iω)
• Relativistic Momentum: High-speed motion (p = γmv)
• Quantum Momentum: Wave-particle duality

Important Notes

• Momentum is a vector quantity (has direction)
• Momentum is conserved in all interactions
• Momentum depends on both mass and velocity
• Momentum can be transferred between objects
• Momentum is related to force: F = Δp/Δt

Momentum Relationships

• Force: F = Δp/Δt (Force = change in momentum over time)
• Impulse: J = FΔt = Δp (Impulse = change in momentum)
• Kinetic Energy: KE = p²/(2m) (Kinetic energy in terms of momentum)
• Collision: p₁ + p₂ = p₁' + p₂' (Conservation in collisions)

Momentum Examples

• Elastic Collision: Both momentum and kinetic energy conserved
• Inelastic Collision: Momentum conserved, kinetic energy not
• Perfectly Inelastic: Objects stick together after collision
• Explosion: Single object breaks into multiple pieces

Momentum Effects

• Impact Force: Higher momentum = greater impact
• Stopping Distance: Related to momentum and braking force
• Recoil: Backward momentum in firearms
• Propulsion: Forward momentum in rockets