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**Problem**: The potential energy between two identical atoms has the form U(x) = A / x 10 − B / x5 where x is the separation distance between the atoms and A and B are constants with appropriate units. The two atoms, initially very far apart, are released from rest. What is the maximum kinetic energy that each of the two atoms can have?
1. Kmax = (A2 / 2B)
2. Kmax = (B2 / 4A)
3. Kmax = (A2 / 8B)
4. Kmax = (A / 4)
5. Kmax = (B2 / 2A)
6. Kmax = 0
7. Kmax = (B / 8)
8. Kmax = (B2 / 8A)
9. Kmax = (A2 / 4B)
10. Kmax = (B)

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###### Problem Details

The potential energy between two identical atoms has the form U(x) = A / x ^{10} − B / x^{5} where x is the separation distance between the atoms and A and B are constants with appropriate units. The two atoms, initially very far apart, are released from rest. What is the maximum kinetic energy that each of the two atoms can have?

1. K_{max} = (A^{2} / 2B)

2. K_{max} = (B^{2} / 4A)

3. K_{max} = (A^{2} / 8B)

4. K_{max} = (A / 4)

5. K_{max} = (B^{2} / 2A)

6. K_{max} = 0

7. K_{max} = (B / 8)

8. K_{max} = (B^{2} / 8A)

9. K_{max} = (A^{2} / 4B)

10. K_{max} = (B)

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Intro to Conservation of Energy concept. You can view video lessons to learn Intro to Conservation of Energy Or if you need more Intro to Conservation of Energy practice, you can also practice Intro to Conservation of Energy practice problems .

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