# Range of values that represent Motion of the System...?

Suppose that the total energy of the system is a constant, E = 2. Find the range or ranges of x-values that could represent a motion of the system.

How do you find EXACT values by just drawing the line and finding the points. Is there a way to calculate this or not?

*** do I just make the equation of U(x) equal to 2 and then solve?

### 3 Answers

- ?Lv 71 day ago
The solution is that kinetic energy must exist whenever the potential energy is less than 2. Both of the other answers are a part.

Solve the equation for U(x) = 2 to give the crossing points then identify the regions where U <2

ie a) x<-1.8 b) -1.3<x<1 c) x>1.9

You can find the points accurately by finding the solutions of the equation.

- 2 days ago
Make a horizontal line on Y = 2, and wherever the line intersects are those range of values that could represent the motion of the system