What does the slope of an force vs. displacement time represent?

I know that the area under the graph represents work, but what does the slope represent?

1 Answer
Jan 12, 2018

Answer:

Literally the slope means force per unit distance or force gradient. An example is spring constant.

Explanation:

The spring constant is #k= F/(Deltax)#
F is force applied to stretch a spring and causes it to extend by a length #Deltax# from its neutral position. If the neutral position is 0, then the displacement #Deltax = x-0= x#

Let's say # k = 50 N/m#. It means that 50 N is required for every meter being stretched. If you graph #F# v #Deltax#, you get the slope #k#. Therefore the slope of the spring force F vs. x is the spring constant.