Achieve HW WK2-4, #13 Part B Unit Confusion

[Narhayne Nacana 3B]

The question states: "The E.coli bacterium is about 1.9 μm long. Suppose you want to study it using photons of that wavelength or electrons having that de Broglie wavelength."

For part B, I know I have to calculate this using the E electron = KE and using the Debroglie Equation to solve for velocity. However when I do solve for velocity, I get units of kg*m/s^2. Am I supposed to convert this into m/s before plugging it into the E electron? If so, how would I convert it to m/s?

[Zinnia Kwan 3D]

Yes, you need m/s, but you should be able to get this without having to convert. You want to start off by using the de broglie equation to solve for velocity we do λ=H/p or λ=h/(mv).

We would turn this into v=h/(mλ). Plugging in the values that we have, we should get v = for
and the units would cancel out to 404 m/s. Hope this helps.