Force Calculator – Easily Calculate Force Using Newton's Second Law
Force is one of the most fundamental concepts in physics. Whether you're studying Newtonian mechanics, solving engineering problems, or analyzing the dynamics of a system, calculating force accurately is essential.
Newton's Second Law
F = m × a
- F = force (Newtons, N)
- m = mass (kilograms, kg)
- a = acceleration (m/s²)
How to Use
- Enter mass in kilograms.
- Enter acceleration in m/s².
- Click Calculate to get force in Newtons.
- Click Copy Result to copy the output.
Example Calculations
m = 5 kg, a = 3 m/s² → F = 5 × 3 = 15 N
m = 70 kg, g = 9.81 m/s² → F = 70 × 9.81 = 686.7 N (weight on Earth)
m = 70 kg, g = 3.72 m/s² → F = 70 × 3.72 = 260.4 N (weight on Mars)
Other Force Formulas (Reference)
- Weight: F = m × g (g = 9.81 m/s² on Earth)
- Friction: F = μ × N
- Spring (Hooke's Law): F = −k × x
Applications
- Physics education: Applying Newton's laws
- Engineering: Load analysis in structures
- Automotive: Braking force, acceleration, drag
- Space science: Gravity calculations on other planets
Frequently Asked Questions
What is the unit of force?
The newton (N). 1 N = 1 kg·m/s².
Can I calculate weight using this?
Yes — enter mass (kg) and gravitational acceleration (9.81 for Earth) to get weight in Newtons.
What gravity value should I use for Mars?
3.72 m/s².
Is force a scalar or vector?
Force is a vector — it has both magnitude and direction. This calculator returns the magnitude.
How do I find mass from force?
Rearrange: m = F / a. Divide the force by the acceleration.
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