Newton's Second Law Calculator

Solve for Force (F), Mass (m), or Acceleration (a) instantly using Newton's Second Law of Motion.

Can you guess the force before checking the answer?

Calculated Force

98 N

Mathematical Walkthrough

F = m · a

1. Convert mass to SI: 10 kg = 10 kg

2. Convert accel to SI: 9.8 mps2 = 9.8 m/s²

3. Calculate Force (SI): 10 kg · 9.8 m/s² = 98 N

About the Newton's Second Law Calculator

Newton's Second Law of Motion describes how the velocity of an object changes when it is subjected to an external force. It is the cornerstone of classical mechanics, dynamics, aerospace engineering, and astrophysics.

Mathematical Formula & Logic

The mathematical equation is: F = m × a Where: - F = Net force applied in Newtons (N) or kg·m/s² - m = Mass of the object in kilograms (kg) - a = Acceleration of the object in meters per second squared (m/s²)

Step-by-Step Example

Calculate the force required to accelerate a 1,500 kg car at a rate of 3 m/s²: F = m × a F = 1500 kg × 3 m/s² = 4,500 Newtons.

Reference Data & Values

parametersi unitformulaimperial
Force (F)Newton (N)F = m × aPound-force (lbf)
Mass (m)Kilogram (kg)m = F / aSlug / Pound (lb)
Acceleration (a)m/s²a = F / mft/s²

Frequently Asked Questions

A Newton is the SI unit of force. It is defined as the force required to accelerate a mass of one kilogram at a rate of one meter per second squared (1 N = 1 kg·m/s²).
Mass is the amount of matter in an object and is constant everywhere in the universe. Weight is the gravitational force acting on that mass (W = m × g) and varies depending on the local gravitational pull (e.g., Earth vs. Moon).
According to Newton's First Law, if the net force is zero, the object will maintain its current state of motion: it will either remain at rest or continue moving at a constant velocity in a straight line.