One model for the potential energy of a two-atom molecule, where the atoms are separated by a distance r, is U (r) = Uo[(2) ¹5 (10)6] where ro = 0.6 nm and U = 7.7 eV. Note: 1 eV 1.6 x 10-19 J. Some helpful units: [Force] = eV/nm [Energy] = eV [distance] = nm Equilibrium Distance What is the distance between the atoms when the molecule is in stable equilibrium? Click here for a hint T'eq Force

Principles of Physics: A Calculus-Based Text
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Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
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I need help solving the equilibrium distance, force, and kinetic energy.

One model for the potential energy of a two-atom molecule, where the atoms are separated by a distance r, is
U(r) = Uo[()¹5 (10)6]
where ro = 0.6 nm and U₁ = 7.7 eV.
Note: 1 eV = 1.6 × 10-¹⁹ J.
Some helpful units:
[Force] = eV/nm
[Energy] = eV
[distance] = nm
Equilibrium Distance
What is the distance between the atoms when the molecule is in stable equilibrium?
Click here for a hint
T'eq =
Force
!
If the distance between the atoms increases from equilibrium by r₁ = 0.35 nm, then what is the force from one atom on the other associated with this potential energy?
(Enter your answer as postive if they repel each other, and negative if they attract.)
Fr(req+r₁) =
Kinetic Energy
The atoms are oscillating back and forth. The maximum separation of the atoms is r2 = 2 nm. What is the kinetic energy of the atoms when they are separated by the
equilibrium distance?
Click here for a hint
K(req) =
Transcribed Image Text:One model for the potential energy of a two-atom molecule, where the atoms are separated by a distance r, is U(r) = Uo[()¹5 (10)6] where ro = 0.6 nm and U₁ = 7.7 eV. Note: 1 eV = 1.6 × 10-¹⁹ J. Some helpful units: [Force] = eV/nm [Energy] = eV [distance] = nm Equilibrium Distance What is the distance between the atoms when the molecule is in stable equilibrium? Click here for a hint T'eq = Force ! If the distance between the atoms increases from equilibrium by r₁ = 0.35 nm, then what is the force from one atom on the other associated with this potential energy? (Enter your answer as postive if they repel each other, and negative if they attract.) Fr(req+r₁) = Kinetic Energy The atoms are oscillating back and forth. The maximum separation of the atoms is r2 = 2 nm. What is the kinetic energy of the atoms when they are separated by the equilibrium distance? Click here for a hint K(req) =
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