Another conservation of energy problem

In summary, the gravitational potential energy of a ball is equal to its kinetic energy due to the conservation of energy. When a ball is released in a gravitational field, the decrease in potential energy will result in an increase in kinetic energy, as no other forces are acting on the ball. This principle is known as the conservation of energy.
  • #1
physicsman2
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Homework Statement


why is the gravitational potential energy of a ball equal to its kinetic energy


Homework Equations


KE=PE


The Attempt at a Solution


im really not sure, i think its because energy is conserved but i don't know why that is either
 
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  • #2
Yes, it has to do with the conservation of energy. Think of it this way - If you hold a ball in your hand and drop it, the kinetic energy will equal the gravitational potential energy, because the ball cannot acquire energy from any other source. Gravity is the only thing pulling the ball down - no other force is going to help the ball fall.
 
  • #3
oh i understand now thanks
 
  • #4
physicsman2 said:
why is the gravitational potential energy of a ball equal to its kinetic energy

As stated it is not.

The conservation of energy tells you however that the Δ in potential energy will manifest as a Δ in kinetic energy when a ball is released in a gravitational field.
 

FAQ: Another conservation of energy problem

What is conservation of energy?

Conservation of energy is a fundamental principle in physics that states that energy cannot be created or destroyed, only transformed from one form to another.

How does conservation of energy apply to this particular problem?

In this problem, conservation of energy applies by ensuring that the total amount of energy remains constant throughout the system, even if it changes forms. This means that the initial energy of the system must be equal to the final energy of the system.

What are the different forms of energy that are conserved in this problem?

The different forms of energy that are conserved in this problem may include kinetic energy, potential energy, thermal energy, and chemical energy.

What equations or principles can be used to solve this conservation of energy problem?

The most commonly used equations to solve conservation of energy problems include the law of conservation of energy, the work-energy theorem, and the formula for calculating potential energy.

What are some real-life examples of conservation of energy?

Conservation of energy can be seen in many real-life situations, such as a pendulum swinging back and forth, a roller coaster moving along a track, a bowling ball rolling down a hill, or a car braking to a stop. In all of these examples, energy is being transformed from one form to another, but the total amount of energy remains the same.

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