F(x) = = 5.3x
from 10 to 14 = 256 inch-pounds
Help is always appreciatedA spring of natural length 10 in. stretches 1.5 in. under a weight of 8 lb. Find the force function F(x).
A spring of natural length 10 in. stretches 1.5 in. under a weight of 8 lb. Set up an integral to find
the work done in stretching the spring from its natural length to a length of 14 in.
A spring of natural length 10 in. stretches 1.5 in. under a weight of 8 lb. Find the work done in
stretching the spring from its natural length to a length of 14 in.
F(x)=kx
Use 1.5 for x and 8 for F(x) to find k.
You probably want to use the exact value k=16/3
x is the amount the spring stretches.
When the spring is at its natural lenth of 10 in., x=0
When the spring is at a length of 14 in., x=4
Use those values of x as your limits of integration.