To calculate the work done when a variable force is applied to lift an object of some mass or weight, we’ll use the formula W=integral [a,b] F(x) dx, where W is the work done, F(x) is the equation of the variable force, and [a,b] is the starting and ending height of the object.
Read MoreTo calculate the work done when we lift a weight or mass vertically some distance, we’ll use the integration formula for work, where W is the work done, F(x) is the force equation, and [a,b] is the starting and ending height of the weight or mass. Oftentimes problems like these will have us use a rope or cable to lift an object up some vertical height. In a problem like this, we’ll need to determine the combined force required to lift the rope and the object.
Read MoreTo find the work required to empty a tank, first divide the tank into an infinite number of slices, then calculate the work required to remove a single slice of substance from the tank, then develop an equation to solve for the work needed to empty the entire tank, based on the work that was required to remove the single slice.
Read MoreTo find the work required to stretch or compress an elastic spring, you’ll need to use Hooke’s Law. Every spring has its own spring constant k, and this spring constant is used in the Hooke’s Law formula.
Read More
