1. What is the Momentum Change Formula?

The momentum change formula (Δp = F × Δt) calculates the change in momentum of an object when a constant force is applied over a specific time interval. This is derived from Newton's second law of motion and represents the impulse-momentum theorem.

2. How Does the Calculator Work?

The calculator uses the momentum change equation:

Where:

• \( \Delta p \) — Change in momentum (kg·m/s)
• \( F \) — Force applied (N)
• \( \Delta t \) — Time interval (s)

Explanation: The change in momentum equals the product of the constant force and the time duration over which it acts.

3. Importance of Momentum Calculation

Details: Calculating momentum change is essential in physics for analyzing collisions, understanding motion dynamics, and solving problems involving impulse and force interactions.

4. Using the Calculator

Tips: Enter force in newtons (N) and time interval in seconds (s). Time must be a positive value greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is momentum?
A: Momentum is the product of an object's mass and velocity (p = m×v), representing the quantity of motion.

Q2: How is this related to impulse?
A: Impulse (J) equals the change in momentum (J = Δp), and impulse is also equal to force multiplied by time (J = F×Δt).

Q3: Does this formula work for variable forces?
A: This formula applies to constant forces. For variable forces, you need to integrate force over time (Δp = ∫F dt).

Q4: What are typical units for momentum?
A: Momentum is measured in kg·m/s (kilogram-meter per second) in the SI system.

Q5: How is conservation of momentum related?
A: In closed systems with no external forces, total momentum is conserved, making this principle fundamental in collision analysis.