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How to Calculate Mass Given Force

Newton's Second Law:

\[ m = \frac{F}{a} \]

N
m/s²

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1. What is Newton's Second Law?

Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. The formula is expressed as F = m × a, which can be rearranged to calculate mass as m = F/a.

2. How Does the Calculator Work?

The calculator uses Newton's Second Law equation:

\[ m = \frac{F}{a} \]

Where:

Explanation: This equation calculates the mass of an object when you know the force applied to it and the resulting acceleration.

3. Importance of Mass Calculation

Details: Calculating mass from force and acceleration is fundamental in physics and engineering applications, including vehicle design, structural analysis, and motion studies.

4. Using the Calculator

Tips: Enter force in Newtons (N) and acceleration in meters per second squared (m/s²). Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for this calculation?
A: Use Newtons (N) for force and meters per second squared (m/s²) for acceleration to get mass in kilograms (kg).

Q2: Can this formula be used for any object?
A: Yes, Newton's Second Law applies to all objects, though relativistic effects become significant at speeds approaching the speed of light.

Q3: What if the acceleration is zero?
A: If acceleration is zero, the formula becomes undefined (division by zero). This typically means either no net force is acting on the object, or the object is moving at constant velocity.

Q4: How does this relate to weight?
A: Weight is a specific case of force where acceleration is due to gravity (approximately 9.8 m/s² on Earth).

Q5: Can I use this for rotational motion?
A: For rotational motion, you would use the rotational equivalent: τ = Iα, where τ is torque, I is moment of inertia, and α is angular acceleration.

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