1. What is the Velocity Formula With Force?

Definition: This calculator computes the final velocity of an object based on applied force, time duration, mass, and initial velocity.

Purpose: It helps physics students and professionals determine an object's velocity after a force has been applied for a certain time.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( v \) — Final velocity (meters per second, m/s)
• \( F \) — Applied force (Newtons, N)
• \( t \) — Time duration (seconds, s)
• \( m \) — Mass of object (kilograms, kg)
• \( u \) — Initial velocity (meters per second, m/s)

Explanation: The impulse (force × time) divided by mass gives the change in velocity, which is added to the initial velocity.

3. Importance of Velocity Calculation

Details: Understanding velocity changes helps in designing mechanical systems, analyzing collisions, and solving motion problems in physics.

4. Using the Calculator

Tips: Enter the force in Newtons, time in seconds, mass in kilograms, and initial velocity in m/s. Mass must be > 0, time must be ≥ 0.

5. Frequently Asked Questions (FAQ)

Q1: What if the initial velocity is zero?
A: If u=0, the formula simplifies to v = (F × t)/m, which is common for objects starting from rest.

Q2: How does mass affect the result?
A: Greater mass results in smaller velocity change for the same force and time (inverse relationship).

Q3: What units should I use?
A: Use consistent SI units: Newtons (N), seconds (s), kilograms (kg), and meters per second (m/s).

Q4: Can this be used for variable forces?
A: This formula assumes constant force. For variable forces, integration would be needed.

Q5: How does this relate to Newton's Second Law?
A: This is essentially F=ma integrated over time, where a is acceleration (change in velocity over time).