Solving Battery Problem: Transport 2.6 kg Chocolate up 1000m

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Homework Statement



A 4.5 Volt is labeled: 4.5 V ; 1600 mAh (milliamperehour). This battery is the energy source of a chocolate lift. Find the number of kilograms of chocolater you can Transport with this lift up to the summit. The summit is 1000 meter above the valley Station.

Homework Equations



The solution is 2.6 kg

The Attempt at a Solution



I assume that my start is correct:

J = C * V

so

J = (1600 mAh / (3600 sec * 1000)) * 4.5 V

isn't it?

Is the solution 0.002 J then? What did I wrong?
How do I have to go on?

Thanks in advance!
 
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Now I found out my fault:

1 Ah = 3600 As = 3600 C
C = 1600/1000 * 3600 = 5760
V = 4.5

So:
J = 5760 * 4.5 = 25 920 J

Now my new question:
How can I find out the kilogram with help of the Joule?
 
You find a relevant equation for bringing a mass from the Valley Station to a summit that is 1000 m higher !

Ask yourself: how many Joules do I need to lift 1 kilogram over 1 m ?

Under "relevant equations" a potential helper expects to find the equations you think have to be brought into deal with the problem. "The answer is.." is not a relevant equation! Give me something better !