1. What Is The Mass Calculation Formula?

The mass calculation formula \( m = \frac{F \times t}{\Delta v} \) is derived from the impulse-momentum theorem, which states that the impulse of a force equals the change in momentum of an object.

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 calculates the mass of an object by relating the impulse (force × time) to the change in momentum (mass × velocity change).

3. Importance Of Mass Calculation

Details: Calculating mass from force and time measurements is important in physics experiments, engineering applications, and understanding the relationship between force, motion, and mass in various systems.

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 greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the impulse-momentum theorem?
A: The impulse-momentum theorem states that the impulse of a force acting on an object equals the change in momentum of that object (J = F × t = m × Δv).

Q2: When is this formula applicable?
A: This formula is applicable when a constant force is applied to an object for a specific time period, resulting in a change in velocity.

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

Q4: Can this formula be used for variable forces?
A: For variable forces, the calculation requires integration of force over time, making it more complex than this simple formula.

Q5: What are practical applications of this calculation?
A: This calculation is used in crash testing, sports science, rocket propulsion, and any scenario where force application time and velocity change can be measured to determine mass.