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# Connection Between Noether's Theorem and Classical Definitions of Energy / Momentum

Connection between Noether's Theorem and classical definitions of energy / momentum

Physical Thinking might help over mathematical approaches:The Noether theorem is the one and only which states the correspondences that the energy is nothing but a conserved charge of time translation symmetry and the momentum is the conserve charge of space translational symmetry. These correspondences are the direct consequences of the Noether theorem. For your classical correspondences: 1) The first correspondences have no physical meaning. 2) The equations above gives change in kinetic energy or momentum and not the absolute values. And just because you got two identical looking equations does't mean that you can play with it to make any physical correspondences. 3) The concept of charge is only defined for a symmetry.Therefore, the first conclusions are completely wrong and have no physical meaning.

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linear momentum energy?

momentum is defined because the made from mass and speed. for this clarification for having momentum the speed might want to not be 0, the kinetric skill is 0 if the equipment is nice. it is not available for an merchandise to have a equipment that has linear momentum yet no kinetic skill.

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Do I have knockout power?

It depends if you try to hit with strength or momentum. Obviously, being strong helps, but when you exert your weight into your punch or kick and hitting a soft spot, they will definitely watch out for your punch if you did not rock or knock them out

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Confusion with Conservation of Momentum and 2nd law

If the mass is added to the cart at a non-zero velocity relative to the cart, then friction will impart an impulse to the mass. The mass will impart an equal and opposite impulse to the cart. The net momentum change of the cart-mass system will be zero, but the cart itself must accelerate because of the impulse (its momentum changed) and the mass accelerates opposite until they have identical velocities. There is a horizontal force on the cart.If the mass is added to the cart, moving with the same velocity as the cart (zero relative velocity), the cart does not change velocity because the mass has enough momentum to join the cart without an impulse.In the case of the spinning skater, the angular momentum is conserved so there is no torque. The moment of inertia is changing.

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Is it normal to be envious of successful friends?

Yeah, it kind of is. What you have to do is turn the envy into a positive and that is forward momentum. If they got it you can get it, or something like it that suits yourself. Just find joy in the pursuit of it

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what would happen if you were just free floating in outer space?

momentum and gravity would propel you, but you would die of lack of oxygen long before you could land anywhere, or be rescued

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Why doesn't a ray of light have enough momentum to make us fall?

A ray of light is a geometrical line describing the propagation of an electromagnetic wave. The electromagnetic wave is composed of zillions of photons each with a tiny momentum. The momentum is not large enough to sense an impact, it is pico newtons even for a laser beam. Lasers can have very high energy and momentum, but like knives, they cut soft tissue as they have a small area. A laser large enough to cover a body area would burn up the body. Edit after comments. In contrast to the order of pico Newton force of a pointer laser beam, a velocity of 10m/second to a mass of 1 k gives a 10kg-m/sec momentum, 10 Newtons force. Pico is a factor of 10^-12, there are 13 orders of magnitude to give a mass of a kilogram by a laser beam in vacuum a velocity of ten meters per second, using a light beam

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What is the difference between force (F=MA) and momentum (mass * velocity)?

F=mathe applied force is a product of speed and weight of the moving objectwhere as momentum is a semi permanently stored pressure in moving object which also have FORCE in it that's why its called product of mass x velocity nothing but F=maF=MA= mass x Vt=mass X change in speedt=momentum force

The elusive difference between impulse and momentum

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