Physics Help: Struggling w/Unit Conversion & Homework

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The discussion focuses on the challenges faced by a student struggling with unit conversions in physics homework. The student expresses confusion over converting units like millimeters and milligrams into their SI equivalents. Responses emphasize the importance of understanding prefixes, such as "milli" for millimeters and "kilo" for kilograms, to facilitate conversions. Examples are provided to illustrate how to convert units, including the calculation of 286.6 mm to meters. Several online resources are suggested for further assistance with unit conversions and dimensional analysis.
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I Just Dont Get It!

Its my second day of physics and I have no idea what's going on -_- Its so riduculous We've started converting units and I am just completely lost I have 6 problems for homework and I am basically screwed :_[. Can someone please guide me through one or two of them? some of them are 286.6mm, 760mg, and 60.0ps please guide me through one or two :_[.
 
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It seems like you are working with SI (MKS) units.

If so, is one supposed to convert each unit to its SI basis. For example, mm = millimeter, and the prefix 'milli' means 1/1000 th, or one-thousandth, and 1 mm = 1/1000 m = 0.001 m. The prefixes take the place of many 0's or scientific notation.

Another example, kg, which is kilogram. The prefix 'kilo' means 1000, and 1 kg = 1 kilogram = 1000 grams.

In the first example - 286.6 mm = 286.6/1000 m = 0.2866 m.

See - http://physics.nist.gov/cuu/Units/prefixes.html

and http://en.wikipedia.org/wiki/SI

and this is useful with some examples -
http://www.ebyte.it/library/educards/siunits/TablesOfSiUnitsAndPrefixes.html

a useful calculator
http://www.lenntech.com/unit-conversion-calculator/prefix.htm

Hyperphysics is a good general site -
http://hyperphysics.phy-astr.gsu.edu/hbase/units.html

Good for overchecking calculations
http://hyperphysics.phy-astr.gsu.edu/hbase/unitc.html#uc
 
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One thing to remember also is the concept of 1; that anything divided by itself is 1. 1 foot/12 inches = 1. And that when you muliply 'anything' by 1 the 'anything' does not change. Then it is simply a matter of manipulating the units in the numerator or demominator.
 
thats because you're dividing by 12 inches/ 1 foot so the feet cancel out.
 
Unit conversion

Here's a site on dimensional analysis. http://www.chem.tamu.edu/class/fyp/mathrev/mr-da.html"

Good luck!
 
Last edited by a moderator:
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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