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Does an object necessarily needs physical contact in order to move, because as far as I can guess.. energy doesn't have to be contained in matter in order to work, just like heat works in distance.

The kinetic energy is not the only force that can make the object move.

Qmechanic
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Edenia
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Physical contact is mainly a human illusion anyway.

Suppose your hand pushes a pint of beer across a table. Both hand and glass are made up of atoms/ions/molecules, all of which are nuclei surrounded by electron clouds. These electrons in the glass and the hand repel each other. In reality hand and glass never really touch each other. Actual 'contact' would require the Coulombic potential energy to reach $+\infty$.

It just feels that way because we experience the net force between the objects, mediated through the real electronic repulsion between hand and pint glass.

Gert
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Gravity and the electromagnetic field are good examples. Earth orbits around the Sun without any physical contact, a bit of physical contact with the Sun could make a disaster ... . Or in a magnetic field, any charged particle depending on its charge is pushed or pulled by the magnetic field. Take two magnets and draw them near each other, you should feel the force between them with your hand.

DanielC
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Two objects can never really "touch" See this here What does it mean for two objects to "touch"?. Also objects can move around with gravity or electromagnetism without physical contact (two magnets can attract and repel without any physical contact and objects gravitate toward each other without physical contact).