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How It Works
Newton's Second Law (F = ma) relates the net force on an object to its mass and acceleration. If you know any two of these variables, you can solve for the third. This law is the foundation of classical mechanics and applies to everything from rockets to everyday objects.
Example Problem
A 2,000 kg elevator accelerates upward at 1.5 m/s². What net force is required?
- F = m × a = 2,000 × 1.5 = 3,000 N
The cable must supply this net force plus the elevator's weight to produce the upward acceleration.
Frequently Asked Questions
How is Newton's second law different from the force calculator?
They use the same formula (F = ma). This calculator focuses on Newton's Second Law specifically and is helpful when studying the three laws of motion together.
What happens when multiple forces act on an object?
You sum all forces as vectors to find the net force, then apply F = ma. Only the net force determines the acceleration.
Does F = ma work at very high speeds?
At speeds approaching the speed of light, Newton's Second Law must be replaced by its relativistic form from Einstein's special relativity. For everyday speeds, F = ma is extremely accurate.
Related Calculators
- Force Equation Calculator — the same equation with full unit conversion support.
- Friction Calculator — calculate friction as one of the forces in F = ma.
- Weight Equation Calculator — a special case where a = g.
- Impulse Momentum Calculator — relate force and time to change in momentum.
- Gravity Equations Calculator — calculate gravitational acceleration for use in F = ma.
- Force Unit Converter — convert between newtons, pounds-force, and dynes.
Reference: Lindeburg, Michael R. 1992. Engineer In Training Reference Manual. Professional Publication, Inc. 8th Edition.