Does Pushing an Object in Space Result in Infinite Kinetic Energy?

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SUMMARY

Pushing an object in space results in a finite amount of kinetic energy, as established by Newton's laws of motion. When a force is applied to an object in a vacuum, it continues to move indefinitely unless acted upon by another force, but the kinetic energy remains constant. The misconception that energy is required to maintain motion in space is clarified; no energy is needed to keep an object moving once it has been set in motion. The discussion emphasizes that while an object can move forever, the kinetic energy it possesses is not infinite.

PREREQUISITES
  • Understanding of Newton's laws of motion, particularly the first and second laws.
  • Familiarity with the concept of kinetic energy and its conservation.
  • Knowledge of the effects of friction and forces in different environments, such as a vacuum.
  • Basic principles of classical mechanics and inertial reference frames.
NEXT STEPS
  • Study Newton's laws of motion in detail, focusing on their applications in space.
  • Explore the concept of kinetic energy and its mathematical formulation.
  • Investigate the effects of gravity and other forces on motion in a vacuum.
  • Learn about inertial and non-inertial reference frames in classical mechanics.
USEFUL FOR

Students of physics, educators teaching classical mechanics, and anyone interested in the principles of motion in space.

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By Newton's second law of motion - inetia,we know that if we push a body in space it will keep moving forever (if nothing stops it) (am I wrong?) but when I think about conservation of energy law I am starting to have problems- let's say that I pushed a body in space,the energy converted into kinetic energy and the body stats moving..i know that nothing stops it but how the energy that I invenst converted to kind of infinity kinetic energy?
hlp?
 
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That's right. Unless some other force stops it, the object will continue to move forever. The kinetic energy it has is finite though, not infinite, so whether you stop it now or in 10 billion years it will possesses the same amount of kinetic energy. There's nothing strange about this, it's simply the fact that you need to apply a force to stop something. If we say that we will never apply a force, then the object will continue on forever. (Though that's completely non-realistic of course, as gravity has an infinite range and will constantly act on it)
 
It sounds like you believe that it requires energy for a body in space to keep moving. That is incorrect. No energy is needed.

On earth, things like cars do need energy to keep moving because of friction, but in an ideal space vacuum, there is no friction.


Newton's first law of motion says, "When viewed in an inertial reference frame, an object either remains at rest or continues to move at a constant velocity, unless acted upon by an external force."
 
When you pushed it, you gave it a finite amount of kinetic energy. It still has that energy later (assuming nothing else happens to it), and it will have it as long as it keeps moving. This energy lasts as long as the body is moving, but it does not increase. It is the same amount of energy as it was when you had just pushed it. Infinitely lasting is not the same as infinite amount :-)
 
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