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Impulse Calculator Using Velocity and Force Graph

Impulse Equation:

\[ \text{Impulse} = \int \text{Force}\, dt = \Delta\text{Momentum} \]

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1. What is Impulse?

Impulse is the product of a force and the time interval over which it acts. It equals the change in momentum of an object and is a vector quantity with both magnitude and direction.

2. How Does the Calculator Work?

The calculator uses the impulse-momentum theorem:

\[ \text{Impulse} = \text{Force} \times \Delta\text{Time} = \Delta\text{Momentum} \]

Where:

Explanation: When a force is applied to an object for a specific time interval, it changes the object's momentum by an amount equal to the impulse.

3. Importance of Impulse Calculation

Details: Impulse calculations are crucial in physics and engineering for analyzing collisions, rocket propulsion, sports mechanics, and safety systems like airbags.

4. Using the Calculator

Tips: Enter the force value in Newtons and the time interval in seconds. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: How is impulse related to momentum?
A: Impulse equals the change in momentum of an object (J = Δp = mΔv).

Q2: What are typical units for impulse?
A: The SI unit is Newton-second (N·s) or kilogram-meter per second (kg·m/s).

Q3: Can impulse be negative?
A: Yes, impulse is a vector quantity. Negative values indicate direction opposite to the chosen positive direction.

Q4: How does this apply to force-time graphs?
A: The area under a force-time graph equals the impulse delivered.

Q5: What's the difference between impulse and impact force?
A: Impact force is the peak force during collision, while impulse is the total force integrated over time.

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