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

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Pushing an object in space results in it continuing to move indefinitely, as per Newton's first law of motion, unless acted upon by an external force. The kinetic energy imparted to the object is finite and remains constant as long as no other forces intervene. Energy is not required to maintain its motion in the vacuum of space, unlike on Earth where friction necessitates continuous energy input. The misconception lies in confusing the object's perpetual motion with an infinite increase in kinetic energy. Thus, while the motion lasts indefinitely, the kinetic energy remains the same as when initially imparted.
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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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For simple comparison, I think the same thought process can be followed as a block slides down a hill, - for block down hill, simple starting PE of mgh to final max KE 0.5mv^2 - comparing PE1 to max KE2 would result in finding the work friction did through the process. efficiency is just 100*KE2/PE1. If a mousetrap car travels along a flat surface, a starting PE of 0.5 k th^2 can be measured and maximum velocity of the car can also be measured. If energy efficiency is defined by...

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