Math Playground
Physics

Force calculations

Add force vectors, find the net push — and use F = ma.

Add forces as vectors. The net force determines acceleration via F = ma.

Try this
6
a = F / m (mass = 2 kg) = 3
Net force from components

Add the x-components, add the y-components, then combine. Direction: θ = arctan(ΣFy / ΣFx).

Your turn

Forces of 8 N right and 6 N up act on a 5 kg block. What is the magnitude of its acceleration?

Watch out

Don't just add force *numbers* — forces are vectors. 5 N right and 5 N left give 0 N, not 10 N. Only forces along the same line add arithmetically.

Try it

5 N right, 3 N left on a 2 kg object

Net = 2 N right. a = 2/2 = 1 m/s² to the right.