Solving Battery Problem: Transport 2.6 kg Chocolate up 1000m

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In summary, the conversation discusses using a 4.5 Volt battery with a capacity of 1600 mAh to power a chocolate lift. The goal is to determine how many kilograms of chocolate can be transported up to a summit that is 1000 meters above the valley station. The solution is found to be 2.6 kg by using the equation J = C * V. However, the conversation also explores the concept of lifting a mass over a certain distance and the relevant equation for this is needed to find the kilogram value.
  • #1
Physicsrapper
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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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  • #2
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?
 
  • #3
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 !
 

FAQ: Solving Battery Problem: Transport 2.6 kg Chocolate up 1000m

How can I calculate the amount of energy needed to transport 2.6 kg of chocolate up 1000m?

To calculate the amount of energy needed, you can use the formula E = mgh, where E is the energy in Joules, m is the mass of the chocolate in kilograms, g is the acceleration due to gravity (9.8 m/s^2), and h is the height in meters. In this case, the energy needed would be approximately 25,480 Joules.

What type of battery would be best for this task?

The type of battery that would be best for this task would be a lithium-ion battery. These batteries have a high energy density and are commonly used in portable electronic devices and electric vehicles. They also have a longer lifespan and can handle repeated charging and discharging, making them suitable for this task.

How long would the battery last while transporting the chocolate up 1000m?

The duration of the battery depends on various factors such as the type and capacity of the battery, efficiency of the transportation method, and the weight of the chocolate. However, assuming a fully charged lithium-ion battery with a capacity of 5000mAh, it could last for approximately 5 hours while transporting the chocolate up 1000m.

Are there any alternative methods for transporting the chocolate up 1000m without using a battery?

Yes, there are alternative methods for transporting the chocolate, such as using a pulley system or a hand-operated winch. These methods may require more physical effort, but they do not require a battery. However, the efficiency and speed of these methods may not be as high as using a battery-powered transport system.

Is there a way to reduce the energy consumption while transporting the chocolate up 1000m?

Yes, there are ways to reduce the energy consumption while transporting the chocolate. One way is to use a more efficient transportation method, such as an electric vehicle with regenerative braking, which can recover some of the energy used during the ascent. Additionally, reducing the weight of the chocolate or breaking the ascent into smaller intervals can also help reduce energy consumption.

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