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

Question

amistre64 · Answer

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

amistre64 · Answer

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 · Answer

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

anonymous · Answer

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

amistre64 · Answer

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

amistre64 · Answer

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

amistre64 · Answer

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 · Answer

.........

anonymous · Answer

YES!

amistre64 · Answer

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

amistre64 · Answer

i take that for a correct lol

anonymous · Answer

Can you that one more time?

anonymous · Answer

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

amistre64 · Answer

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

anonymous · Answer

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

amistre64 · Answer

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

anonymous · Answer

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

anonymous · Answer

her astronaut weights 130 lbs

anonymous · Answer

this stuff is nuts

amistre64 · Answer

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

anonymous · Answer

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

amistre64 · Answer

is that the only difference in numbers?  130 lbs?

anonymous · Answer

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

amistre64 · Answer

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

anonymous · Answer

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

amistre64 · Answer

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 · Answer

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

amistre64 · Answer

rock paper scissors hadnt been invented yet lol

anonymous · Answer

lol

anonymous · Answer

She says youre awesome!

amistre64 · Answer

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

amistre64 · Answer

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

anonymous · Answer

She couldnt do that anyways!

anonymous · Answer

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

amistre64 · Answer

......cancer?

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

Well, thanks!

amistre64 · Answer

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 ;)