1. What is the Impulse-Momentum Theorem?

The Impulse-Momentum Theorem states that the change in momentum of an object equals the impulse applied to it. Impulse is the product of force and the time interval over which it acts.

2. How Does the Calculator Work?

The calculator uses the Impulse-Momentum Theorem equation:

Where:

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

Explanation: The theorem shows that a small force acting over a long time can produce the same momentum change as a large force acting over a short time.

3. Importance of Momentum Change Calculation

Details: Understanding momentum change is crucial in physics, engineering, and safety design. It helps analyze collisions, rocket propulsion, and vehicle safety systems.

4. Using the Calculator

Tips: Enter force in newtons (N) and time interval in seconds (s). Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What are the units of impulse?
A: Impulse has the same units as momentum (kg·m/s), which are equivalent to newton-seconds (N·s).

Q2: How is this related to Newton's Second Law?
A: The theorem is derived from Newton's Second Law (F=ma) and the definition of acceleration (a=Δv/Δt).

Q3: What's the difference between impulse and momentum?
A: Momentum is a property of a moving object (p=mv), while impulse is the change in momentum caused by a force over time.

Q4: Why is this important in car safety?
A: Safety features like airbags and crumple zones increase Δt to reduce the force (F) needed to change momentum during a collision.

Q5: Can this be used for rotational motion?
A: There's an angular version of the theorem relating torque, time, and change in angular momentum.