An 70 kg weight watcher wishes to climb a
mountain to work off the equivalent of a large
piece of chocolate cake rated at 790 kcal (1
kcal = 1000 cal). How high must the person climb?

Question

An 70 kg weight watcher wishes to climb a
mountain to work off the equivalent of a large
piece of chocolate cake rated at 790 kcal (1
kcal = 1000 cal). How high must the person climb?

anonymous · Answer

what's the formula that relates the calories to burn and the weight of the person with the steepness of the mountain and how much to climb? is there one?

anonymous · Answer

i didn't receive one on my worksheet , hope someone knows

anonymous · Answer

ok thanks I'll leave it for someone else

anonymous · Answer

you must first convert Cal to cal. 1 Cal=1kcal, then convert cal to joules

anonymous · Answer

im not sure how to

colouringme · Answer

1 cal = 4.2 joule

astrophysics · Answer

W = mgh
(potential energy)

astrophysics · Answer

$$(1000\times10^3~calories) \times~4.2 J$$

astrophysics · Answer

$$\large Height = \frac{ 4.2\times10^6 }{ 70kg \times9.8\frac{ m }{ s^2 } }=?$$

anonymous · Answer

this is incorrect

astrophysics · Answer

You'll get 6.12x10^3 m.

astrophysics · Answer

How so?

anonymous · Answer

790 Cal, not 1000 Cal

astrophysics · Answer

Oh, my bad, just make that 790x10^3 calories, same process.

anonymous · Answer

please guide him, don't just solve it. make sure he understands each step

astrophysics · Answer

Pls.

anonymous · Answer

you can't even read a question right. pls yourself

astrophysics · Answer

Btw, I love your guide.

anonymous · Answer

he's right tho, we do need to guide them, i got a warning from the moderators for handing out the answers straight away... some users here dont want to learn at all just want the answer and it can get hard to teach them anything, so what do u do then? give the answer or keep hitting the brick wall :)

astrophysics · Answer

I did guide him, I showed him the formula, and you can see I didn't give the final answer since I messed up on one number, only reason eHoaX said that was because he couldn't follow the process himself. I'm sure the OP can follow it easily, since I mentioned W=mgh. That's all OP needs, and after that, it's simple.

anonymous · Answer

im not sure what is the final equation?

anonymous · Answer

Did you find out the energy in that particular amount of chocolate?

anonymous · Answer

im not sure how to solve for anything the equation that was shown to my is confusing.

anonymous · Answer

Okay first you find the amount f energy in that chocolate
790 *10 ^3 * 4.2
that would give you the amount of energy in that chocolate

Good now?

anonymous · Answer

is the answer 11060. (does "^" mean divide?)

anonymous · Answer

to the power = ^

anonymous · Answer

or $$790\times1000\times4.2$$

anonymous · Answer

3318000?

anonymous · Answer

yes good
Now what is the formula for the increase in potential energy when climbing a distance h

anonymous · Answer

w=mgh ?

anonymous · Answer

correct now you know W , g and m just plug in the values and find h :)

anonymous · Answer

W-3318000 G-70 M-790 H- Solve for ?

anonymous · Answer

g = 9.8 or 10 M = 70 W = 3318000 solve for H

anonymous · Answer

464520 ?

anonymous · Answer

how did u get it

anonymous · Answer

3318000/70*9.8

anonymous · Answer

then you should be getting 4836

anonymous · Answer

im still getting 464520....am i multiplying something wrong ?

anonymous · Answer

$$h = \frac{3318000}{70\times9.8}$$

make sure u bracket ur below values

anonymous · Answer

$$h=\frac{3318000}{(70\times9.8)}$$

anonymous · Answer

4836.7346?

anonymous · Answer

yes :)