The weight W of an object varies inversely as the square of the distance d from the center of the earth. At sea level (3978 mi from the center of the earth), an astronaut weights 122 lb. Find her weight when she is 186 mi above the surface of the earth and the spacecraft is not in motion.
Her weight is _ lb

- anonymous

- katieb

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- amistre64

so we are using 3978 as our earth center distance eh... some books use 4000

- amistre64

inversely proportional means that as one gets more, the other gets less. and we solve it with a fraction:
y = 1/x is an inverse proportion

- amistre64

we also use a number "k" as a constant in the equation to even the two out, otherwise itsd just be nonesense

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## More answers

- anonymous

............this is deep

- amistre64

W = k/(d^2)
122 = k/(3978)^2
k = 122((3978)^2)
k = 19,305,870,48

- amistre64

lol.... its in space, thats like the opposite of deep :)

- amistre64

W = 19,305,870,48 // d^2
W = 19,305,870,48 // (3978+186)^2
W = 19,305,870,48 // 17,338,896
W = 111.344 lbs if I did it right

- anonymous

.........

- anonymous

YES!

- amistre64

is that a right or a wrong lol
if its the same program as the other girl that was here; try 111.34

- amistre64

i take that for a correct lol

- anonymous

Can you that one more time?

- anonymous

My friend Kelley is on here.......and has the same question, just different numbers

- amistre64

I dont know..... the rules change with every iteration of doing the math so it could get tricky.......... ;)

- anonymous

Lol, she is pissed that you got it right for me

- amistre64

hah!! its these big brains in this tiny little head lol

- anonymous

Hey, it seems to work.........ok hers is.....

- anonymous

her astronaut weights 130 lbs

- anonymous

this stuff is nuts

- amistre64

if I start throwing "pi" around like a clown, just shoot me!!

- anonymous

lol
........wow.......
math joke.

- amistre64

is that the only difference in numbers? 130 lbs?

- anonymous

One more thing her astronaut is 173 miles above the surface of the earth

- amistre64

ok.... let me crunch some numbers, do the hokey pokey and turn myself about.....

- anonymous

What is the hokey pokey really IS what it's all about?

- amistre64

W = k/(d^2)
130 = k/(3978)^2
k = 130((3978)^2)
k = 2,057,182,920
-------------------------
W = 2,057,182,920 // d^2
W = 2,057,182,920 // (3978+173)^2
W = 2,057,182,920 // 17,230,801
W = 119.38986 lbs so I would put in... 119.39 as an answer if not, then 119.38

- amistre64

as a kid, it was either the hokey pokey are duck duck goose :)

- amistre64

rock paper scissors hadnt been invented yet lol

- anonymous

lol

- anonymous

She says youre awesome!

- amistre64

now now... she only says it cause its true :)

- amistre64

or shes having a stroke....have her repeat the alphabet just to be sure ;)

- anonymous

She couldnt do that anyways!

- anonymous

We only have like two weeks left.........

- amistre64

......cancer?

- anonymous

almost.........math class.

- anonymous

I have one more............
o........wait......

- anonymous

Well, thanks!

- amistre64

type in a new post ;) that way more people can have a chance to help.... they are jealous of my fan count I just know it ;)

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