Newton's Second Law Calculator

Solve for any variable using F = m × a. Select what you want to find, then enter the other two values.

Solve For

Known Values

Tip: gravity on Earth = 9.81 m/s²

Result

Step-by-step

Formula Reference

Force
F = m × a
Newtons (N)
Mass
m = F / a
kilograms (kg)
Acceleration
a = F / m
m/s²

Quick Examples

Useful Constants

Gravity (Earth)9.81 m/s²
Gravity (Moon)1.62 m/s²
Gravity (Mars)3.72 m/s²
1 N1 kg·m/s²
1 kN1,000 N

Frequently Asked Questions

What is Newton's Second Law?

Newton's Second Law states that the net force on an object equals the product of its mass and acceleration (F = ma). A larger force produces greater acceleration; a heavier object requires more force for the same acceleration.

What is the unit of force?

The SI unit of force is the Newton (N), defined as the force needed to accelerate 1 kg by 1 m/s². 1 N = 1 kg·m/s². Other units include pound-force (lbf) and dyne (CGS).

Can acceleration be negative?

Yes. Negative acceleration (deceleration) means the object is slowing down or accelerating in the direction opposite to motion. The formula still applies: a negative F produces a negative a for the same positive mass.

How does this differ from Newton's First and Third Laws?

The First Law describes inertia (objects stay at rest or in uniform motion without net force). The Second Law quantifies how force changes motion. The Third Law states that every action has an equal and opposite reaction.