Try it

Force50N

Understand the result

What's going on

Push on something and it accelerates - how much it accelerates depends on how hard you push and how much there is to move. Newton’s second law is the sentence that pins that relationship down exactly.

The formula

F = m × a

F is force in newtons, m is mass in kilograms, a in m/s².

Show the derivation, mnemonic, and worked example

Build it up

Push twice as hard on the same object and it accelerates twice as fast - force and acceleration scale together directly. But push the same amount on something twice as heavy and it only accelerates half as fast - mass resists acceleration. Combine both observations and force has to equal mass times acceleration.

Worked example

Worked example

m = 10 kg, a = 5 m/s²

F = 10 × 5

F = 50 N