### 8.7: Physical Applications

We will now apply what we have learned about integration to various aspects of science. You may know that in physics, we calculate work by multiplying the force of the work by the distance over which it is exerted. You may also know that density is related to mass and volume. But we now know that distance and volume are very much related to integration. In this subunit, we will explore these and other connections.

### 8.7.1: Distance

Read Section 9.2 (pages 192-194).

Work through each of the three examples on the page. As in any assignment, solve the problem on your own first. Solutions are given beneath each example.

### 8.7.2: Mass and Density

Read this section (pages 341-351).

### 8.7.3: Moments

Work through each of the four examples on the page. As in any assignment, solve the problem on your own first. Solutions are given beneath each example.

### 8.7.4: Work

Read Section 9.5 (pages 205 through 208). Work is a fundamental concept from physics roughly corresponding to the distance traveled by an object multiplied by the force required to move it that distance.

Work through each of the seven examples on the page. As in any assignment, solve the problem on your own first. Solutions are given beneath each example.