Whats is the different between kienetic energy and momentum

In summary, kinetic energy and momentum are different concepts with different units. While energy is a scalar quantity, momentum is a vector quantity. These concepts are mathematical in nature and it is important to develop mathematical thinking to understand them. The conservation laws of energy and momentum are connected to time and space isotropy, which are also mathematical concepts. Non-mathematical concepts, such as evolution, love, pleasure, and unicorns, have the potential to be mathematized but currently do not have mathematical explanations. An example of momentum and energy can be illustrated by catching a baseball, where the momentum is how much it makes your hand jump back and the energy is how much it hurts when it hits.
  • #1
Arslan
20
0
whats is the different between kienetic energy and momentum.with examples . i know the mathemetical formulaies..... the things that i want to get are the concepts.Thanks in advance.
 
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  • #2
Energy is a scalar momentum is a vector. Energy and momentum have different units.
 
  • #3
There aren't really any nom-math concepts: the words are just names for the mathematical concepts!
 
  • #4
What you need to understand, Arslan, is that mathematical concepts are not just as good as other types of concepts, most often, they are much better due to improved precision.

Thus, you need to develop mathematical thinking, i.e, understand the world in the terms of maths.

There is nothing "behind" you have to grasp by means of the maths, it is the maths itself you have to grasp&embrace.
 
  • #5
The energy and momentum conservation laws are connected to time and space isotropy.
 
  • #6
inline said:
The energy and momentum conservation laws are connected to time and space isotropy.
And are "conservation law" and "isotropy" non-mathematical concepts? :confused:
 
  • #7
arildno said:
And are "conservation law" and "isotropy" non-mathematical concepts? :confused:
Can you give me an example of non-mathematical concepts?
 
  • #8
Evolution.
 
  • #9
inline said:
Can you give me an example of non-mathematical concepts?

Love, pleasure and unicorns?
At least, those concepts are, at present, non-mathematized, but that, of course, do not deny their potential mathematizability. :smile:
 
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  • #10
If you want a kind of feel for momentum and energy, consider catching a baseball. Momentum is how much it makes your hand jump back when it hits, energy is how much it hurts when it hits. If you had a little marble, a baseball and a bowling ball hit your hand with the same momentum, they would make your hand jump back the same amount, but the marble would really hurt because it was traveling very fast and had more energy, the baseball less so, and the bowling ball hardly at all, because it would be moving slowly and have less energy.

Thats not the best example, because you might say the marble hurts because its smaller. But if you had a baseball filled with cotton, and one filled with lead, the cotton one would hurt more too, because it would really be traveling fast, while the lead one wouldn't hurt hardly at all, because it would be traveling so slowly. If the cotton ball weighed maybe an ounce and a baseball weights a half a pound, and the baseball hit your hand at 60 miles an hour, the cotton ball would have to hit your hand at almost 500 miles an hour to have the same momentum! That would hurt. If the lead ball weighed 5 pounds, it would only hit your hand at about 6 miles per hour, about as fast as a person walks.
 
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1. What is kinetic energy?

Kinetic energy is the energy an object possesses due to its motion. It is a form of energy that can be transferred from one object to another.

2. What is momentum?

Momentum is a measure of an object's motion, determined by its mass and velocity. It is the product of an object's mass and velocity.

3. How are kinetic energy and momentum related?

Kinetic energy and momentum are related in that they both involve an object's motion. Kinetic energy is a measure of the amount of energy an object has due to its motion, while momentum is a measure of the object's motion itself.

4. What is the difference between kinetic energy and momentum?

The main difference between kinetic energy and momentum is that kinetic energy is a type of energy, while momentum is a measure of an object's motion. Kinetic energy depends on an object's mass and velocity, while momentum only depends on an object's mass and velocity.

5. When is kinetic energy more useful than momentum?

Kinetic energy is more useful than momentum when studying the transfer or conversion of energy in a system. It is also more useful when considering the potential for an object to do work, as work is directly related to kinetic energy. However, momentum is more useful in predicting how objects will interact and change their motion in collisions or other interactions.

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