# Conservation of Energy through friction and cliffs

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In summary, the conservation of energy is a fundamental law that states energy cannot be created or destroyed, only transformed. Friction, a force that opposes motion, can affect the conservation of energy by converting kinetic energy into heat energy. Energy can still be conserved on a cliff as an object falls, following the principle that the total energy must remain constant. The height of the cliff can also impact the conservation of energy by determining the potential energy an object has before falling. Other factors such as air resistance, object mass and shape, and the angle of the cliff can also affect the conservation of energy on a cliff.
mintsnapple

E = K + U
K = 1/2mv^2
u = mgh

## The Attempt at a Solution

Sorry if it's hard to read:

All looks good until the last step. You should not have a v in the answer, just m, g and R.

## 1. What is the conservation of energy?

The conservation of energy is a fundamental law of physics that states that energy cannot be created or destroyed, only transformed from one form to another.

## 2. How does friction affect the conservation of energy?

Friction is a force that opposes motion and converts kinetic energy into heat energy. This conversion results in a loss of energy, making it important to consider in conservation of energy calculations.

## 3. Can energy be conserved on a cliff?

Yes, energy can be conserved on a cliff. As an object falls from a cliff, its potential energy decreases while its kinetic energy increases. The conservation of energy principle states that the total energy (potential + kinetic) must remain constant throughout the fall.

## 4. How does the height of a cliff affect the conservation of energy?

The height of a cliff can affect the conservation of energy by determining the potential energy an object has before falling. The higher the cliff, the greater the potential energy and the more kinetic energy will be gained as the object falls.

## 5. What other factors besides friction can affect the conservation of energy on a cliff?

Other factors that can affect the conservation of energy on a cliff include air resistance, the mass and shape of the object, and the angle of the cliff. All of these factors can influence the amount of potential and kinetic energy present in the system.

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