(Solved): Two atoms interact with a potential energy between them that varies as a function of their separati ...

Two atoms interact with a potential energy between them that varies as a function of their separation, as shown in the graph below. We take the zero of ener be when they are very far apart and at rest. When we first encounter these atoms, they have a total energy \( \epsilon_{1} \) as shown on the figure. Which of the following statements is true? (Select all that apply. They are in a bound state. The tofal eneror of the molecule is negative. The total eneray of the molecule is zero. The atoms have negative kinetic energy. The total energy of the molecule is positive. If the molecule made up of these two atoms is at reut, each atom has 0 kinetic energy. \( \mathbf{x} \) If the atoms were in the state labeled \( E_{1} \), which of the statements below is true? (Select all that apply. To shift them to the state with total energy \( E_{2} \), you would have to add \( E_{2} \) to their energy. By pulling them completely apart, you would gain an energy \( E_{1} \) that you could use elsewhere. To pull them completely apart, you would have to add \( -E_{1} \) to their energy. To pull them completely apart, you would have to add \( E_{1} \) to their energy. To shift them to the state with total energy \( E_{2} \), you would have to add \( E_{2}-E_{1} \) to their energy.