Applications to Physics

i.e., Work = Force × Distance. And the unit for work is Joule (denoted by J). 1 J = 1 N × 1 m. But in reality, force is not always constant, but a function in terms of position, say F = f(x). In such circumference, we can also define the work using integration: Divide the interval [a, b] into n pieces of length ∆x = b−a n , and in each interval, we take a point xi ∈ [xi−1, xi]. When ∆x is small, the force is almost constantly equal to f(xi ), so an approximation of the actual work is: n ∑