The potential energy of a pair of hydrogen atoms separated by a large distance .x is given by L/(x) = —C6/x6, where C6 is a positive constant. What is the force that one atom exerts on the other? Is this force attractive or repulsive?

Explanation:

The force that one atom exerts on the other is the negative derivative of the potential energy =

F(x) = - ( -C₆ / x⁷) = - (- (-6) C₆ x⁻⁶ ⁻¹) = - 6C₆ /x⁷

when xis negative, F is positive and when x is positive, F is negative. It is therefore and attractive force and F is always directed to the center

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d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day