Chapter 1.4, Problem 26SSC

To determine

The explanation for smaller slope of the graph.

Explanation of Solution

Introduction:

The slope of the graph is the ratio of the vertical change to horizontal change. It gives the behavior of the graph in the complete points of the graph.

The vertical axis of the graph represents the spring's length, and horizontal change represents the mass of the spring. If the slope of the graph becomes small, then the change in the length is small for the corresponding change in the spring's mass. The slope of the graph shows the spring constant, so the spring stretch becomes small for the larger mass.

Conclusion:

The slope of the line gives the ratio of change in the spring's length to change in the mass. Thus, the spring constant of the spring becomes high for the shallower line in the graph.