Here is a small selection: (Remember, D=M/V)
1. Your backpack has a 43 L capacity. While backpacking in a foreign land, you find some fresh coffee beans which you want to take home to share with your family, so you empty out your bag and fill it with beans. If the coffee beans have a density of 0.561 kg/L, how heavy will your backpack be?
2. When you were backpacking (in question 1!) you also found some very tasty chocolate powder which you knew your mother would enjoy. If the density of this chocolate powder is 0.641 kg/L, and you filled your 43 L backpack with chocolate powder instead of coffee beans, how much heavier would your backpack be?
3. A mechanic drains 3.4 L of used fuel oil out of your car, and when he weighs it, he finds that it weighs 3.45 kilograms. What is the density of the oil? The mechanic fills your car up with 3.4 L of clean fuel oil. If clean fuel oil has a density of 0.89012 kg/L, how much lighter will your car be with the new oil?
4. You want to buy as many apples as you can from the local farm. Apples are sold for $2.50 for a 10 kg bag. If the density of apples is 0.641 kg/L, and your 1995 Ford Escort wagon has a cargo capacity of 2,563 L, how many kilograms of apples can you stuff into your car, and how much will it cost?
Answers in the comments
10 comments:
1. Your backpack will have a mass of 24.123 kg
2. The mass of the chocolate powder backpack will be 27.563 kg, which is 3.44 kg lighter
3. The density of the oil is 1.0147 kg/L; the car will be 0.4235 kg lighter
4. You can fit in 1642.883 kg of apples; it will cost $410.72
Is not the chocolate heavier than the coffee beans?
that's a lot of apples....
I guess the chocolate powder is heavier, you're right. Oops.
thats a lot of math.
wow, rach can you help me with my lesson plans and units too?? ;)
Rachel... you are crazy!!! I tried to leave all remnants of grade school and high school math behind me in a big pile of dust and tried to avoid all memories associated with it!! And now they're all dredged up again and my brain is spinning...
So, if you were to dredge up high school math and it's density was 2.34 kg/L, and if your brain had a capacity of 5.6 L, how heavy is the math material in your skull if it expands and fills the whole area?
haha :). i believe the math would weigh about 13.104 kg. That's a lot of math... yikes. And that's coming from the person who actually kind of LIKED doing physics because of all the math invovled... man i was a geek... :).
A geek, Rach? I don't know... perhaps instead a creative and inquisitive young high school student who had a dedication to her studies and, well, perhaps an over-fascination with her calculator. Come to think about it, weren't we all geeks for one reason or another?
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