Problem: Does the potential energy of an electron and a proton increase or decrease when the distance is increased from 53 pm to 1.0 nm?

FREE Expert Solution

E → electrostatic potential energy

E=Efinal-Einitial


E=keQ1·Q2d


Initial distance of  53 pm:

1 pm = 10-12 m

d=53 pm×10-12 m1 pm

d = 5.3x10-11 m

E=(8.99×109N·m2C2)(1.6×10-19 C)·(-1.6×10-19 C)(5.3×10-11 m)E=(8.99×109N·m2C2)(-2.56×10-38 C2)(5.3×10-11 m)

Einitial = -4.34x10-18 N•m = -4.34x10-18 J


Final distance of 1.0 nm:

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Problem Details

Does the potential energy of an electron and a proton increase or decrease when the distance is increased from 53 pm to 1.0 nm?

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