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Velocity Equation With Force

Velocity Formula:

\[ v = v_0 + \frac{F}{m} \times t \]

m/s
N
kg
s

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1. What is the Velocity Equation With Force?

Definition: This calculator computes the final velocity of an object when a constant force is applied for a certain time period.

Purpose: It helps in physics and engineering to determine how an object's velocity changes under applied force.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ v = v_0 + \frac{F}{m} \times t \]

Where:

Explanation: The force divided by mass gives acceleration, which when multiplied by time gives the velocity change, added to the initial velocity.

3. Importance of Velocity Calculation

Details: Understanding velocity changes under force is crucial for vehicle design, projectile motion, and mechanical systems.

4. Using the Calculator

Tips: Enter the initial velocity (default 0), force in newtons, mass in kilograms, and time in seconds. Mass must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What if the force is not constant?
A: This equation only works for constant force. For variable force, integration would be needed.

Q2: Does this account for friction or air resistance?
A: No, this is the ideal case. For real-world applications, additional forces would need to be considered.

Q3: What units should I use?
A: Use SI units: newtons (N) for force, kilograms (kg) for mass, and seconds (s) for time.

Q4: Can I use this for rotational motion?
A: No, this is for linear motion. Rotational motion uses torque and moment of inertia.

Q5: What if mass is very small?
A: Extremely small masses approach relativistic effects where this classical equation doesn't apply.

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