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I just need a bit of help getting started. Thanks so much!

Use (lamda)=h/mv to calculate the wavelength of a person (200 lbs.) running down the hallway at a velocity of 15 mi/hr. Report your answer in nm.

(Note: 1 lb = 454 g; 1 inch = 2.54 cm)

2006-10-09 16:14:02 · 2 answers · asked by SuperCee 2 in Education & Reference Homework Help

I've gotten this far:

wavelength= (6.63 * 10^-34 J*s) / (90,800 g * 670.56 cm/s)

Please help me reduce this to a length measurement. THANK YOU!!!

2006-10-09 16:32:04 · update #1

I'm lost after the 200 in your second line :(

I'll try to see if I get your answer though.

2006-10-09 16:34:30 · update #2

2 answers

wavelength= (6.63 * 10^-34 J*s) / (90,800 g * 670.56 cm/s)

Please help me reduce this to a length measurement.

J = kg·m²/s²

wavelength= 6.63 * 10^-34 kg·m²/s / (90,800 g * 670.56 cm/s)

Convert g to kg and cm/s to m/s:
= 6.63 * 10^-34 kg·m²/s / (90.8 kg * 6.7056 m/s)

The kg, m, and s cancel, leaving m.
= 1.0889 * 10^-36 m

Convert to nanometers:
wavelength = 1.0889 * 10^-27 nm

2006-10-10 07:30:52 · answer #1 · answered by ³√carthagebrujah 6 · 0 0

lambda=h/(mv)
=6.63*10^-34/{(200/2.204)}*0.44704
=0.16*10*-34
=0.16*10^-25 nm
=1.6*10^-26 nm

2006-10-09 23:31:08 · answer #2 · answered by raj 7 · 0 0

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