A medium apple takes about 1 N to hold up. So far, that feel is all the size the newton has had.
Newton's second law can now size the newton exactly.
Rearranged, a = F_net/m says every net force is a mass times an acceleration. So the force unit can be built from the mass unit and the acceleration unit.
One newton is the net force that gives a 1 kg mass an acceleration of 1 m/s².
Scale the force and the acceleration scales with it: a 2 N net force on the same 1 kg mass produces 2 m/s².
Which of these is the definition of one newton?
Fay says: a 6.0 N net force on a 6.0 kg mass gives an acceleration of 1.0 m/s². Is she correct?
In units, the definition reads: 1 N = 1 kg·m/s².
So the newton is not a new base unit. It is shorthand for kilogram meters per second squared.
That shorthand keeps force equations readable: N is quicker to write and to read than kg·m/s².
The definition also gives you a unit check. In a = F_net/m, newtons divided by kilograms leaves m/s², exactly an acceleration's unit.
Written in base units, one newton equals which combination?
Show that a 2 N net force on a 1 kg mass produces an acceleration of 2 m/s².
Write down the values in the question:
F_net = 2 N
m = 1 kg
a = ?
Write down the equation:
a = F_net/m
Substitute in the values:
a = 2 ÷ 1
Simplify:
a = 2 m/s²
A 2 N net force on a 1 kg mass produces 2 m/s²: double the defining force, double the acceleration.
Which statement about the newton is correct?
A classmate writes: 1 N = 1 kg·m/s. What is wrong with the identity?
In a = F_net/m, F_net is entered in newtons and m in kilograms. Why does the result come out in m/s²?