Kinetic energy of object free fall

In summary, the conversation discusses the relationship between gravitational energy and kinetic energy, as well as the concept of conservation of energy. It is mentioned that kinetic energy is not dependent on the height from which an object was dropped, but it is clarified that the numerical value of kinetic energy can be equal to the value of gravitational energy if the object falls from a certain height. The conversation also touches on the definition of kinetic energy and how it is not affected by external forces.
  • #1
bay
3
0
If an object is dropped from height, h, then gravitational energy is E = mgh, but kinetic energy when object hits the ground is E=(1/2)mv^2. Conservation of energy states that E(g)=E(k). Why does kinetic energy not depend on height object was dropped?
 
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  • #2
It does! Its equal to mgh which is a function of h!
 
  • #3
Shyan said:
It does! Its equal to mgh which is a function of h!
How does the h cancel out?
 
  • #4
bay said:
How does the h cancel out?
It doesn't. ## E_k=\frac 1 2 m v^2 ## is the definition of kinetic energy of a particle with mass m and speed v regardless of what forces are applied to it. Any particle with mass m and speed v, has the kinetic energy ## E_k ##. Now if this particle acquired its kinetic energy by falling from a height h under constant gravitational acceleration g, then the numerical value of ## mgh ## and ## \frac 1 2 m v^2 ## will be equal which means the speed of the particle is ## v=\sqrt{2gh} ##.
 

Related to Kinetic energy of object free fall

What is kinetic energy of an object in free fall?

The kinetic energy of an object in free fall is the energy that it possesses due to its motion. It is defined as the energy that an object has because of its mass and velocity.

What is the formula for calculating kinetic energy?

The formula for calculating kinetic energy is KE = 1/2 * m * v^2, where KE is kinetic energy, m is the mass of the object, and v is the velocity of the object.

Does the kinetic energy of an object in free fall change as it falls?

Yes, the kinetic energy of an object in free fall changes as it falls. This is because its velocity is constantly changing due to the force of gravity.

How does the height of the object affect its kinetic energy in free fall?

The height of an object in free fall does not affect its kinetic energy. The object's kinetic energy is determined by its mass and velocity, not its height.

What is the relationship between kinetic energy and potential energy in free fall?

In free fall, as an object's potential energy decreases due to gravity pulling it towards the ground, its kinetic energy increases. At the point of impact, all of the potential energy is converted into kinetic energy.

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