Can someone help me with these dimensional Analysis problems?
1. If Gasp cigarettes have 5mg tar and 0.4 mg nicotine per cigarette and there are 20 cigarettes per pack, how many packs of cigs. would have to be smoked to coat tour lungs with 4oz (1/4 lb.) of Tar? How many PAcks would you have to smoke to introduce your lungs to one gram of the drug nicotine?
2. You are riding home from a party and the driver has been drinking. The car is traveling at 60 mi per hour. Suddenly a child steps on the road ahead. Because the driver has been drinking, his reaction time has been slowed by 1 sec. How many feet toward the impending accident will the car travel before the driver begins to stop?
3. Some owls maintain territories of up to 3 acres. How many owls could live in a large wooded area of 20 hectares?
(1 hect. = 1 sq. dekameter = 100m² = 2.47 acres)
Please help me solve these problems.
Favorite Answer
You’re taking Physics, right?
Ummm…you’ll need a chart, it’s easiest to explain that way. I can make one for you in paint and send it, if you like.
I’ll try to explain.
First you take 5 mg and make it fraction-esque.
5mg/ 1 c.
Stack them on top of each other like you did in third grade.
Now you need to convert miligrams to grams, so along side write
1000 milligrams/ 1 gram.
[It’ll make sense at the end, trust me]
Now make grams into ounces .
28 grams/ 1 ounce.
okay, [this is where my memory fuzzes, so bear with me]
now make ciggs per pack a fraction.
so put
20c / 1 pack
now you have all these fractions stacked up in a line, just multiply! right across the top. All the numbers on the top row, you mulitiply. ALl the numbers on the bottom row, multiply straight across to get a fraction. Then reduce.
That answers the tar question. Use the same format for the rest on number one.
2) use the same chart
convert miles per hour into meters per second, using a REVERSE of this [I answered a similar question, and am too lazy to retype it]:
First you take ___m/s and make it fraction-esque.
___m/ 1 s.
Stack them on top of each other like you did in third grade.
Now you need to convert seconds to minuets, so along side write
60 seconds/ 1 minuet.
[It’ll make sense at the end, trust me]
Now make minuets into hours.
60 minuets/ 1 hour.
okay, [this is where my memory fuzzes, so bear with me]
now convert meters into miles.
there are 1609 meters in a mile
so put
1609/ 1 mile
That’s how i remember. I’m in AP Physics, so I think I’m right. Good luck! If you want the diagram, feel free to email me.
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