SOLUTIONS

Fermi Problems (C division)                                                   

Utah Science Olympiad                                                                              

Weber State University                                                                                                                    

March 6th, 2004                                                         

 

 

 

Description

Answer

Score

1.   

 

Our current elevation above sea level (in meters):

3

 

2.   

The area of an average adultís skin (in square meters):

0

 

3.   

Number of gallons of ice cream consumed in Utah last year:

7

 

4.   

Volume of Earth (in cubic meters):

21

 

5.   

Number of tennis balls that could fit into this room:

6

 

6.   

Number of letters in the alphabet:

1

 

7.   

How many dollars would each person on this planet possess if there were a "mole" of dollars to distribute?

14

 

8.   

Number of births per year in world:

8

 

9.   

Number of frames in a 2-hour long motion picture:

5

 

10.    

Number of stars viewable to the naked eye on a clear, dark night:

3

 

11.    

Number of hairs on the average human head:

5

 

12.    

Ratio of age of universe to age of a human lifespan:

8

 

13.    

Height of a piece of paper if it could be folded in half 50 times (in meters):

11

 

14.    

Number of cellular phones currently used in the U.S.:

8

 

15.    

Number of motor vehicles in the world:

9

 

16.    

Total length of wire on spool (sitting on desk in this room), in meters:

2

 

17.    

Tons of gravel held in the back of a dump truck:

1

 

18.    

Time it takes light to travel from Mars to Earth (in seconds):

3

 

19.    

Number of cockroaches in the U.S.:

12

 

20.    

Mass (in kilograms) of exhaust produced by one tank of gasoline burned by a large truck/SUV:

2

 

21.    

The power output of the Sun is 400-trillion-trillion Watts.  How many incandescent light bulbs would be necessary to output energy at the same rate?

25

 

22.    

Time (in seconds) spent sleeping over an entire lifetime:

9

 

23.    

Fraction of one year equal to one second:

-6

 

24.    

Total energy exhausted by one person in a lifetime (in food calories):

5

 

25.    

Area (in square meters) of entire human population if everyone crowded together:

9

 

26.    

Total area of Earth (in square kilometers):

8

 

27.    

Gallons of soft drinks consumed in the U.S. each year:

10

 

28.    

Speed at which human hair grows (in meters per second):

-7

 

29.    

The thickness of rubber (in meters) lost with each rotation of a carís tire on the road:

-11

 

30.    

Number of electrons in a liter of water:

27