What is the change in potential energy if the distance separating the electron and proton is increased to 1.0 nm?

Explanation:

The change in potential energy can be expressed as:

where K is a constant with a value of , q1 and q2 are the charges of the proton and the electron and r is the distance between them.

The charge for the proton is and the charge for the electron is .

Converting r=1.0nm to m:

Replacing values:

can be answered using momentum.

momentum = p

p1= mass1 * velocity1

p1 = p2

therefore

p1 = 6kg * 4m/s

p1 = 24kgm/s

p2=m2 * v2

24 kgm/s = 7kg * v2

v2 = 24 kgm/s / 7kg

v2= 3.42 m/s

wavelength divides in half and speed stays the same.