Name ___________________________

Dimensional Analysis - Practice Practice Practice! 

Directions: For each problem solve using dimensional analysis.

á         write the equivalence statements

á         write the units the answer will have

á         write down what is given including the units and sig figs

á         show the dimensional analysis string(s) that includes all the units in each conversion factor.

á         I will show the format I use on the next page. Please Arrange your work, so I can see the A) equivalence statements B) conversion factors C) dimensional analysis

1.         John and Celeste want to give all of their chemistry students enough chocolate to make them goofy for the rest of the day. It's a known fact that it takes exactly 47 chocolate chips to make a student goofy. The average cookie contains about 29 chocolate chips. Between them, there are 6 chemistry classes and each class has an average of 18 students. How many chocolate chip cookies does JohnŐs wife, Karen, need to make so John & Celeste can make all their students goofy?

 

2.        On the way to diving in Salt Point, John frequently points out a chicken plucking plant.  If exactly 2 chickens are able to escape from the plant before being plucked, and chickens have on average 512 feathers, how many feathers is the chicken plucking plant not plucking each year due to its daily escape rate?

 

3.        RachelŐs parents live on a farm.  Her mother decided to try and make it a working farm.  She raised 60 goats, then entered into a series of business transactions. She traded all the goats for sheep at an exchange rate of 5 goats for 7 sheep. Next, she exchanged all the sheep for hogs at a rate of 4 sheep for 2 hogs weighing 250 lbs. each. She sold all the hogs at a market price of $55.00 per 100.0 lbs. How much money did she make from the 60 goats?

 

4.       Eggs are shipped from a poultry farm in trucks. The eggs are packed in cartons of one dozen eggs each; cartons are placed in crates that hold 20 cartons each. The crates are stacked in the trucks, 5 crates across, 25 crates deep and 25 crates high. How many eggs are in 5 truckloads?

 

5.        At one time Rigel IV, a class M planet. had a system of weights and measures called the Bozo system. This system was created and used by the Bozonians, who lived on a continent in the Northern hemisphere, and had all of the deficiencies of the current English system on earth. The relationships between the various units used for length in the Bozo system are given below:

 

a.        325 cubebs = 1 furbish

b.       6 furbishes = 1 nautical smile

c.        20 nautical smile = 1 minor league

d.       3 minor leagues = 1 major league

 

Using the above conversion factors determine the number of furbishes a Bozonian would have to walk if his doctor recommended that he walk 2 major leagues each day to maintain cardiovascular health

 

6.      Mark McGuire hit 70 home runs in the 1998 season. Given that there are 4 bases with 90 feet between each base, how many miles did he run that season just from home runs?

 

7.       An automobile is traveling at a speed of 100. km/h on a major highway.  Express the speed of the automobile in m/s.

 

8.      Insurance statistics state that a person loses 8 minutes of average life for each cigarette smoked. If there are 20 cigarettes in a pack and the average cost of cigarette is $4.50 per pack over the next 25 years, how many years of average life would a person lose for smoking 0.5 packs a day for 25 years? How much would the person spend?

 

9.      RachelŐs dog is a bit out of control.  She loves to eat tissues.  If you leave her in a room with a tissue box, she will climb to where it is, take it down, and eat the tissues one by one.  If it takes her 17 seconds to eat one tissue, and there are 150 tissues in one box, how many minutes does Rachel have to realize what sheŐs doing before sheŐs eaten the whole box?

 

10.   Sometimes Marin Academy teachers have been known to assign a bit of homework (just a bit).  If each student takes on average 6.5 classes, and each class assigns on average 45 minutes worth of homework, how many hours of homework is assigned in a school year (averaging 207 academic days) for the entire MA student body (approximately 400. students)?

 

SHOW YOUR WORK FOR QUESTIONS 1 & 2 IN THE SPACE PROVIDED BELOW. YOU WILL NEED TO USE ADDITIONAL PAPER TO FINISH THE PROBLEM SET.

 

1)      A) EQUIVALENCE STATEMENTS

 

_____________________ GOOFY = ______________________ CHIPS

 

_____________________ COOKIE = _____________________ CHIPS

 

_____________________ STUDENTS = __________________ CHEMCLSS

B) CONVERSION FACTORS WRITE 6 CONVERSIONS FACTORS USING THE EQUIVALENCE STATEMENTS ABOVE

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

C) DIMENSIONAL ANALYSIS

 

? COOKIES =

 

 

6 CHEMCLSS

 

 

 

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