1. What is Resultant Velocity?

The resultant velocity is the final velocity achieved by an object when a constant force is applied over a certain distance. It's calculated using the work-energy principle, where the work done by the force equals the change in kinetic energy of the object.

2. How Does the Calculator Work?

The calculator uses the resultant velocity formula:

Where:

• \( v \) — Resultant velocity (m/s)
• \( F \) — Applied force (N)
• \( d \) — Distance over which force is applied (m)
• \( m \) — Mass of the object (kg)

Explanation: The formula derives from equating the work done by the force (F × d) to the kinetic energy gained by the object (½mv²).

3. Importance of Resultant Velocity Calculation

Details: Calculating resultant velocity is essential in physics and engineering for understanding motion dynamics, designing mechanical systems, and predicting object behavior under applied forces.

4. Using the Calculator

Tips: Enter force in newtons (N), distance in meters (m), and mass in kilograms (kg). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What if the force isn't constant?
A: This formula assumes constant force. For variable forces, you'd need to integrate the force over the distance.

Q2: Does this account for friction or air resistance?
A: No, this is the ideal case without energy losses. For real-world applications, additional factors would need consideration.

Q3: What are typical resultant velocity values?
A: Values vary widely depending on application - from slow-moving machinery (0.1 m/s) to high-speed projectiles (1000+ m/s).

Q4: Can this be used for rotational motion?
A: No, for rotational motion you'd need to use torque and moment of inertia instead of force and mass.

Q5: How does this relate to acceleration?
A: This gives the final velocity directly without calculating acceleration, but you could derive acceleration using v² = u² + 2as (with u=0).