Force Calculator (Newton's Second Law)

Solve Newton's second law F = ma for net force, mass or acceleration, with force in newtons, pound-force and kilogram-force.

N
1 lbf = 4.448 N; 1 kgf = 9.807 N.

Results

Acceleration (a)
2.125 m/s²
Net force (F)
51 N
Mass (m)
24
Force in pound-force
11.465 lbf
Force in kilogram-force
5.2006 kgf
Acceleration in g
0.21669 g

How it’s calculated

Newton’s second law says the acceleration of an object is proportional to the net external force on it and inversely proportional to its mass. One newton is the force that accelerates 1 kg at 1 m/s².

F = m · a a = F ÷ m m = F ÷ a 1 N = 1 kg·m/s²

Example (OpenStax University Physics Vol. 1 §5.3): a net force of 51 N on a 24 kg lawn mower gives a = 51 ÷ 24 = 2.1 m/s².

Use the net force: the vector sum of all forces, e.g. push minus friction.

Frequently asked questions

What is the difference between mass and weight?

Mass (kg) is the amount of matter; weight is the gravitational force on it, W = m·g. A 10 kg mass weighs about 98 N on Earth.

How many newtons is a pound?

One pound-force is 4.448 N. A kilogram-force is 9.807 N.

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Sources

Formulas are taken from the free public references above. Results are provided “as is” for informational and educational purposes only. See our disclaimer.

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