if a force of 50 N stretches a spring 250 mm, what is the spring constant?

1 answer

use the equation
F=-k(x)
F is the force
units:newtons (N)
K is the constant
units: newtons/meters (N/m)
x is the displacement
units: meters (m)

First you must convert the millimeters into meters
250mm=.25m
Since the spring is being pulled downward the displacement will also be negative making the ending product positive.

50=-k(-.25)
200 N/M=k