1. What is Change in Momentum?

The change in momentum (Δp) of a body represents the difference in its momentum between two points in time. Momentum is a vector quantity that depends on both the mass and velocity of an object, and its change is directly related to the impulse applied to the object.

2. How Does the Calculator Work?

The calculator uses the momentum change formula:

Where:

• \( \Delta p \) — Change in momentum (kg·m/s)
• \( m \) — Mass of the object (kg)
• \( \Delta v \) — Change in velocity (m/s)

Explanation: The change in momentum is calculated by multiplying the mass of the object by its change in velocity. This formula follows directly from the definition of momentum (p = m×v).

3. Importance of Momentum Calculation

Details: Calculating change in momentum is fundamental in physics, particularly in studying collisions, explosions, and other interactions where forces act over time. It's essential for understanding impulse-momentum theorem and conservation of momentum principles.

4. Using the Calculator

Tips: Enter mass in kilograms and change in velocity in meters per second. Mass must be a positive value. The calculator will compute the change in momentum in kg·m/s.

5. Frequently Asked Questions (FAQ)

Q1: What are the units of momentum?
A: Momentum is measured in kilogram-meters per second (kg·m/s) in the SI system.

Q2: Is momentum a vector or scalar quantity?
A: Momentum is a vector quantity, meaning it has both magnitude and direction.

Q3: How is change in momentum related to force?
A: According to Newton's second law, the net force acting on an object equals the rate of change of its momentum (F = Δp/Δt).

Q4: What is the impulse-momentum theorem?
A: The impulse-momentum theorem states that the impulse applied to an object equals its change in momentum (J = Δp).

Q5: Does momentum conservation apply to all systems?
A: Momentum is conserved in isolated systems where no external forces act. This principle is fundamental in analyzing collisions and interactions.