# Conservation of Energy with heat

• jakeginobi
This is correct. The initial kinetic energy of the ball is converted into potential energy as it rises, and also into heat energy due to air friction. Therefore, to find the maximum height reached by the ball, we need to add the heat energy to the energy after it has reached its maximum height. In summary, to find the maximum height reached by a 45 kg steel ball projected vertically with an initial speed of 280 m/s, we need to add 8.5E5 J of heat energy to the energy after it has reached its maximum height. This results in a maximum height of 2100 m.
jakeginobi

## Homework Statement

A 45 kg steel ball is projected vertically with an initial speed of 280 m s . While the ball is rising, 8.5E5 J of heat energy are produced due to air friction. What is the maximum height
reached by the ball?

## Homework Equations

Ek = 1/2mv^2 Ep = mgh

## The Attempt at a Solution

I started with Ekbefore=Epafter+Ekafter-Eheat
so It'll be 1/2(45kg)(280m/s) = (45kg)(9.8m/s^2)h + 1/2(45kg)(0) - 8.5E5 J
Solving for H, I got 5927.44 m, the answer is 2100m (rounded), am I suppose to add the heat energy or subtract it from the energy after?

Chestermiller said:
So I'm suppose to add the heat energy to the energy after?

jakeginobi said:
So I'm suppose to add the heat energy to the energy after?
Yes. Why do you think that this is so?

Chestermiller said:
Yes. Why do you think that this is so?
It's because of conservation of energy? The energy before = the energy after

jakeginobi said:
It's because of conservation of energy? The energy before = the energy after
Yes.

## 1. What is the law of conservation of energy with heat?

The law of conservation of energy with heat states that energy cannot be created or destroyed, only transformed from one form to another. This means that the total amount of energy in a closed system remains constant, even as it changes from one form to another, such as from heat energy to mechanical energy.

## 2. How does heat conservation impact the environment?

The conservation of energy with heat is crucial for the balance of energy in the environment. If there is an excess of heat energy, it can lead to global warming and other negative impacts on the environment. By conserving heat energy, we can help mitigate these effects and maintain a healthy balance in the environment.

## 3. Can heat energy be converted into other forms of energy?

Yes, heat energy can be converted into other forms of energy, such as mechanical energy or electrical energy. This process can be seen in power plants, where heat energy from burning fossil fuels is converted into electricity.

## 4. How do we conserve heat energy in our daily lives?

There are several ways to conserve heat energy in our daily lives, including using energy-efficient appliances, insulating our homes to prevent heat loss, and using renewable energy sources. Additionally, small actions like turning off lights and unplugging electronics when not in use can also help conserve heat energy.

## 5. What are the potential consequences of not conserving heat energy?

If we do not conserve heat energy, it can lead to a variety of negative consequences, including increased energy consumption, air pollution, and environmental degradation. It can also contribute to climate change, which can have far-reaching impacts on ecosystems and human societies.

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