3. Two interacting atoms experience the potential shown on the image. Each atom

Question

3. Two interacting atoms experience the potential shown on the image. Each atom has a mass of 7.3 x 1026 kg. a. Suppose that the total energy of the atoms is Etota+4 atom +6 =-2 x 10-21. At this energy are the two atoms bound or free to be anywhere? Briefly but completely explain how you know this. (asy mptotically reaches 0.0 J atr= ) b. What is the kinetic energy of the atoms when a 2 distance of 3 A separates them? What is the speed of each atom? -6 c. Given the above total energy, at what separation-8 1) atom-atom distancer [A] distance would these two atoms experience the greatest magnitude force? At that point, what direction would the force be in? Be sure to fully justify your answers.

Explanation / Answer

3. given m = 7.3*10^-26 kg

a. Et = -2*10^-21 J

at -ve total energy, the atoms must be bound and not free to go anywhere

b. at a distance of 3 A

KE = TE - PE

but PE is maximum in magnitudfe at this point

hence Ke = 0 j

C. hecne , from the previous calculations

the maximum force will be exerted on each other by the particles at d = 4 A ( from the graph)

below the 3 A limit, the force keeps on increasing as the distance reduces indefinitely

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