Force, Mass and Acceleration

We have seen that:

If the mass (of the trolley) is constant and the applied force is increased, then the acceleration _____.

If the applied force is constant and the mass (of the trolley) is increased then the acceleration _____.

We can say that the acceleration is proportional to the Force and inversely proportional to the mass.

This can be written mathematically as follows:
a ∝ F
a 1
m

We can combine these two proportionalities as follows:
a F
m

and rearrange to form:

F ∝ ma

The units of force are _____. One _____ is defined as the force required to give a _____ of 1kg, an _____ of 1m/s2. So our proportionality becomes an equality as follows:

F = ma

where

F = Force in Newtons, N
m = Mass of the object in Kilograms, kg
a = Acceleration of the object in metres per second per second, m/s/s or m/s2 or ms-2

This can be summarised in the following 'magic triangle':