A spring exerts a force of 4x lbs when it is compressed a distance of x feet. How much work is required to compress the spring a distance of one inch?

To find the work required to compress the spring a distance of one inch, we need to use the formula for work:

Work = Force × Distance

Given that the force exerted by the spring is 4x lbs when compressed a distance of x feet, we need to find the force when the spring is compressed one inch. To do that, we need to convert the units appropriately.

1 foot = 12 inches
Therefore, x feet = 12x inches

Now, let's substitute the values we have into the formula for work:

Force = 4x lbs
Distance = 1 inch

Work = Force × Distance
Work = 4x × 1
Work = 4x lbs × 1

The work required to compress the spring a distance of one inch is 4x lbs.