Dropping coal on a platfrom (energy cons)

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In summary, a railroad hopper car weighing 20000 kg when empty and carrying 10000 kg of coal travels at a speed of 9 m/s along a track. The coal is steadily released onto a platform below the rails over a period of 5 seconds. The questions asked include the speed of the car after the coal is dumped, the momentum absorbed by the platform, and the average horizontal force on the platform. The total energy converted to heat in the process of the coal coming to rest is 45000J, as the coal loses both its kinetic and potential energy.
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mujadeo
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Homework Statement


A railroad hopper car weighs 20000 kg when empty and contains 10000 kg of coal. As it coasts along the track at 9 m/s the hopper opens and steadily releases all the coal onto a platform below the rails over a period of 5 s.


Homework Equations


d) If the coal fell 5 m, what was the total energy converted to heat in the process of the coal coming to rest?


The Attempt at a Solution



Ive already got the first 3 parts of this question. they are
How fast does the car travel after all the coal is dumped?
=9m/s

What was the momentum absorbed by the platform?
=9000kg/m/s

If the coal comes to rest 1 second after the dumping is finished, what was the average horizontal force on the platform?
=9000N

My question b4 attemptin solution is --how can energy be conserved if coal is at rest? (no potential, and no kinetic).
If it cant, then that would mean all the energy must have gone somewhere.. --heat.

So 9000N*5m = 45000J.
This is wrong.
??
 
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  • #2
You are correct about energy being conserved, what two types of energy does the coal have when it is moving in the train?
When it comes to rest below the train it loses both of these - to heat as you said.
 
  • #3
AHA potential AND kinetic because car moving 9ms
so Ek + Ep = 895000J

thanks!
 

1. What is the purpose of dropping coal on a platform for energy consumption?

The purpose of dropping coal on a platform is to generate energy through combustion. Coal is burned to produce heat, which is then used to power turbines and generate electricity.

2. How does dropping coal on a platform impact the environment?

Dropping coal on a platform can have negative impacts on the environment. Burning coal emits pollutants such as carbon dioxide, sulfur dioxide, and nitrogen oxides, which contribute to air pollution and can harm human health. Coal mining can also have destructive effects on land and water resources.

3. Is dropping coal on a platform a sustainable source of energy?

No, dropping coal on a platform is not considered a sustainable source of energy. Coal is a non-renewable resource, meaning it cannot be replenished in a short period of time. Additionally, the process of mining and burning coal has significant negative impacts on the environment.

4. What are the alternatives to dropping coal on a platform for energy consumption?

There are several alternatives to dropping coal on a platform for energy consumption. These include renewable energy sources such as solar, wind, and hydropower, as well as cleaner fossil fuels such as natural gas. These alternatives are more sustainable and have less negative impacts on the environment.

5. How can we reduce the negative impacts of dropping coal on a platform for energy consumption?

There are several ways to reduce the negative impacts of dropping coal on a platform for energy consumption. These include implementing stricter regulations on emissions and waste management, investing in cleaner coal technologies, and transitioning to alternative energy sources. Additionally, reducing our overall energy consumption through energy efficiency measures can also help mitigate the negative effects of coal consumption.

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