One model for the potential energy of a two-atom molecule, where the atoms are separated by a distance r, is U(r) = Uo[(#) ¹² (1 where ro 0.8 nm and Uo 6.1 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 Teq= 0.89105934nm Hint: Hint: Hint: ********* Hint: ********* Hint: Hint: 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.) F(req+71)=-1.288eV/nm Hint: Hint: 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) = 3.99eV

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One model for the potential energy of a two-atom molecule, where the atoms are separated by a distance r, is
U(r) = Uo[(¹) ¹2 – ( )²]
where ro = 0.8 nm and U₁ = 6.1 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
Hint:
Hint:
Hint:
Hint:
Hint:
Hint:
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)
Hint:
Hint:
0.89105934nm
Kinetic Energy
Hint:
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)
Hint:
Hint:
= -1.288eV/nm
3.99eV
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[(¹) ¹2 – ( )²] where ro = 0.8 nm and U₁ = 6.1 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 Hint: Hint: Hint: Hint: Hint: Hint: 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) Hint: Hint: 0.89105934nm Kinetic Energy Hint: 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) Hint: Hint: = -1.288eV/nm 3.99eV
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