A goose is flying south for the winter at a constant speed. Keep in mind that one mile is 1.61 km and one pound is 454 g. The goose has a mass of 23.9 lb (pounds) and is flying at 8.00 miles/h (miles per hour). What is the kinetic energy of the goose in joules?
I got 900026.8883 J
hm, probably not, that's a lot of energy for one bird
anyway, this is a very complicated conversion factor but let's start w/ 8.0 mph|dw:1536695159208:dw|
ok
1 mile = 1.61 km as indicated by the problem so let's put that where it belongs so the units can cancel out
okay so it would be 1.61/1mile
|dw:1536695216132:dw|
60 minutes in an hour, 60 seconds in a minute so applying these conversion factors:
|dw:1536695254643:dw|
|dw:1536695274189:dw|
Where do you 1 hr/60 min and 1min/60s conversions come into play. Like why are those there?
I'm sorry Im really trying to understand so thats why I ask questions
the units of joules are kg * (m/s^2) so we need to convert from hours to seconds
ohh because we havew to have seconds
okay i understand
oh, I forgot, we need to convert from km to meters but that's just a simple 1000 * multiplication
|dw:1536695401195:dw|
anyway multiplying all that out gives us 8 * 1.61 * 1000 / (60*60) = 3.57777....cont. m/s
now, since units of joules need kg not pounds we do another conversion to get 23.9 lb to kg
|dw:1536695508275:dw|
multiplying all that out gives (23.9/1000)*454 = 10.8506kg
thankfully it's the easy part now 1/2 mv^2 = (1/2)(10.8506)( 3.57777)^2
are you dividing it by 1000 because you want it to go from grams to kilograms?
yes
69.44621722
yup and since we have three sig figs we round that to 69.4
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