Question

an 83.0 kg athlete running a "4-minute mile" (i.e. 4.00 min/mile)

________nm


an electron (me = 9.10939 × 10–28 g) moving at 3.90 × 106 m/s in an electron microscope

______nm

Answer 1

I don't understand what is the question? distance? in nautical meters? or nanometers? The second one makes no sense to me.

Answer 2

I'd guess N-m or work (Joules)

83kg * 9.8 * 1mi * 1609m/mi = 1,308,760 N-m

I'd have guess power, since they specified 4 minutes, but that was not part of the units, as far as I could see.

Answer 3

You just to put it into the de Broglie equation for wavelength, which is, wavelength = h/mv, where h is plank's constant 6.626x10^-34 and m is the mass in kg and v is the speed of the object in m/s. For this one obviously you will have to change the miles a minute to meters per second and then after you need to remember to change the answer from meters to nano-meters by multiplying by 1x10^9.