1. What is Mass Calculation from Force and Velocity?

The mass calculation from force and velocity uses the impulse-momentum theorem to determine an object's mass when force, time, and velocity change are known. This approach is derived from Newton's second law of motion.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( m \) — Mass (kg)
• \( F \) — Force applied (N)
• \( t \) — Time duration of force application (s)
• \( \Delta v \) — Change in velocity (m/s)

Explanation: This formula is derived from the impulse-momentum theorem, where impulse (F×t) equals the change in momentum (m×Δv).

3. Importance of Mass Calculation

Details: Calculating mass from force and velocity measurements is crucial in physics experiments, engineering applications, and motion analysis where direct mass measurement may not be feasible.

4. Using the Calculator

Tips: Enter force in newtons (N), time in seconds (s), and velocity change in meters per second (m/s). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the impulse-momentum theorem?
A: The impulse-momentum theorem states that the impulse applied to an object equals the change in its momentum (F×t = m×Δv).

Q2: When is this calculation most useful?
A: This calculation is particularly useful in collision analysis, rocket propulsion, and any scenario where force is applied over time to change an object's velocity.

Q3: What are the SI units for this calculation?
A: Force in newtons (N), time in seconds (s), velocity change in meters per second (m/s), and mass in kilograms (kg).

Q4: Are there limitations to this formula?
A: This formula assumes constant force and works best for rigid bodies where mass remains constant during the velocity change.

Q5: How does this relate to Newton's second law?
A: This is essentially a rearranged form of Newton's second law (F = m×a), where acceleration is expressed as Δv/t.