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Formula To Calculate Acceleration Of A Body

Acceleration Formula:

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

N
kg

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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 = ma, which can be rearranged to a = F/m.

2. How Does the Calculator Work?

The calculator uses Newton's second law formula:

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

Where:

Explanation: The acceleration of an object depends on both the net force applied to it and its mass. A larger force results in greater acceleration, while a larger mass results in less acceleration for the same force.

3. Importance of Acceleration Calculation

Details: Calculating acceleration is fundamental in physics and engineering. It helps predict how objects will move under various forces, design vehicles and structures, and understand motion in everything from subatomic particles to celestial bodies.

4. Using the Calculator

Tips: Enter force in newtons (N) and mass in kilograms (kg). Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What are the SI units for acceleration?
A: The standard SI unit for acceleration is meters per second squared (m/s²).

Q2: Does this formula work for all types of motion?
A: This formula calculates instantaneous acceleration for constant mass systems. For variable mass systems or relativistic speeds, more complex formulas are needed.

Q3: How is this different from gravitational acceleration?
A: Gravitational acceleration (g ≈ 9.8 m/s² on Earth) is a specific case where the force is weight (F = mg). This calculator works for any type of force.

Q4: What if multiple forces are acting on an object?
A: You need to calculate the net force (vector sum of all forces) first, then use that value in the formula.

Q5: Can this calculate deceleration?
A: Yes, deceleration is simply negative acceleration. If the calculated acceleration value is negative, it indicates deceleration.

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