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The width of a human hair is 80 mu m. If a human is about 1.8 m tall, how many h

ID: 1654613 • Letter: T

Question

The width of a human hair is 80 mu m. If a human is about 1.8 m tall, how many human hair thicknesses is that? During a rainstorm, 0.1 m of rain falls. If your roof has an area of 100 m^2, (a) What is the volume of water that fell on your roof in m^3. (b) The mass of 1 m^3 of water is 1000 kg. What is the mass of the water from part (a)? If a human has a mass of 80 kg, how many humans is that water mass equivalent to? The units of energy is mass times velocity^2. Show that this has the same units as Force time distance. You are driving on the Autobahn in Germany at 100 miles per hour (there is no speed limit on the autobahn). If you destination is 400 km away, how long will you need to drive? Suppose starting from your present location, you walk 2 km N, 3 km E, and 3 km S. What is the total distance traveled? What is your displacement vector? Given the following vectors A = 1.0i+3.0j, B = 2.0i-+4.0j, +1.0j+1.0k, C = 3.45i+3.2j-1.0k, find (a) A + B (b) A + B - C (c) 2A - 3B + 1.5C (make sure you have the correct number of significant digits) A plane is flying 5km high above the flat ground, 3 km E and 4 km S of you. What angle does the displacement vector make with the flat ground?

Explanation / Answer

1.

Number of human hair width =1.8/(80*10-6)=22,500

2.

a.

Volume of water fell on roof top is

V=0.1*100=10 m3

b)

Given

1 m3=====>1000 kg

10 m3====> ?

Mass =10*1000/1=10,000 kg

c)

N=10000/80=125