1. What is Change in Momentum?

Change in momentum (Δp) represents the difference in an object's momentum over time. According to Newton's second law, the change in momentum equals the impulse applied to an object, which is the product of force and the time interval during which the force acts.

2. How Does the Calculator Work?

The calculator uses the impulse-momentum theorem:

Where:

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

Explanation: This equation shows that the change in an object's momentum is directly proportional to both the magnitude of the applied force and the duration for which it acts.

3. Importance of Momentum Calculation

Details: Calculating change in momentum is essential in physics for understanding collisions, analyzing forces in dynamic systems, and solving problems related to impulse and conservation of momentum.

4. Using the Calculator

Tips: Enter force in newtons (N) and time change in seconds (s). Both values must be positive numbers greater than zero for valid calculation.

5. Frequently Asked Questions (FAQ)

Q1: What are the units of momentum change?
A: Momentum change is measured in newton-seconds (N·s) or kilogram-meters per second (kg·m/s).

Q2: How is this related to impulse?
A: Impulse is defined as the change in momentum, so they are numerically equal. Impulse = F × Δt = Δp.

Q3: Can this formula be used for variable forces?
A: For variable forces, you need to integrate force over time: Δp = ∫F dt. This calculator assumes constant force.

Q4: What's the difference between momentum and change in momentum?
A: Momentum (p = mv) is a quantity of motion, while change in momentum (Δp) measures how much that quantity changes over time.

Q5: How does this relate to Newton's second law?
A: Newton's second law states that F = Δp/Δt, which is equivalent to Δp = F × Δt when rearranged.