Yes. Kinetic energy is a scalar (non-directional) and momentum is a vector. That means if you have two or more objects in motion their kinetic energies always add. But their momentums must be combined using vector addition and you might get zero. The simple case is two identical masses moving with equal but opposite velocities. Their total momentum is zero because their directions of motion are opposite.
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Yes,
Take two objects of the same mass, A and B, whose velocities, VA and vb, are opposite
Ke = .5(m)(VA)^2 + .5(m)(vb)^2 =
Plug in some numbers, m = 1 kg, VA = 10 m/s, vb = -10 m/s
.5(1)(10)^2 + .5(1)(-10)^2 = 50 + 50 = 100 -- a positive number
momentum can be found using p = mva + mvb
so p = (1)(10) + (1)(-10) = 10 + -10 = 0
No.
If the total kinetic energy is zero, this undeniably means that the bodies are not moving. If they are not moving, the total momentum should be zero. According to me, if the total kinetic energy of a system of bodies is zero, the total momentum should also be zero.
The reverse is true though: A system can have zero momentum (bodies of equal mass move in opposite directions) but a kinetic energy that is not zero.
Sure. In the isolated system of one cue ball rolling north at 1 meter per second
and one cue ball rolling south at 1 meter per second, the total linear momentum
is zero.
If they should happen to collide, centrally and elastically, they would both stop
and just sit there, demonstrating that the zero total momentum of the system
was preserved.
Yes. Kinetic energy is 1/2mv2, momentum is mv. The only way for energy to be zero is for either m or v to be zero. If m or v are zero then mv is zero as well.
If they are of equal mass, velocity, and opposite direction, the momentum of the system is zero. This is because momentum is a vector.
No. Both of those quantities involve the object's speed. So if it has
either one, then its speed is not zero, and it also has the other one.
The kinetic energy of a single gas molecule is not proportional to anything. The average kinetic energy of gas molecules is proportional to their absolute temperature.
The kinetic energy of a single gas molecule is not proportional to anything. The average kinetic energy of gas molecules is proportional to their absolute temperature.
An object at rest. Actually that's the only possible example for a single object. For two objects, you can have objects moving in opposite directions; for example, one may have a momentum of +100 units, and the other, a momentum of -100 units.
Linear momentum is mass times velocity. For a single point object, momentum is conserved, because the object will continue to move at a constant velocity. Nor will its mass change either. For a group of objects, too: When momentum is transferred, for example during a collision, any momentum lost by one object is gained by another. The total momentum remains constant.
All things are related through a single body of energy; the energy within the system that we call "the universe". Everything is comprised of energy, and energy can neither be created or destroyed. The energy within the universe cannot be added to or subtracted from, but it can transform within the system (e.g., potential energy to kinetic energy, matter to photons, chemical energy to kinetic energy, etc.)
No. Even a single electron has momentum.
The kinetic energy of a single gas molecule is not proportional to anything. The average kinetic energy of gas molecules is proportional to their absolute temperature.
The kinetic energy of a single gas molecule is not proportional to anything. The average kinetic energy of gas molecules is proportional to their absolute temperature.
An object at rest. Actually that's the only possible example for a single object. For two objects, you can have objects moving in opposite directions; for example, one may have a momentum of +100 units, and the other, a momentum of -100 units.
Linear momentum is mass times velocity. For a single point object, momentum is conserved, because the object will continue to move at a constant velocity. Nor will its mass change either. For a group of objects, too: When momentum is transferred, for example during a collision, any momentum lost by one object is gained by another. The total momentum remains constant.
nowadays to every single type of energy. such ac magnetic energy, chemical energy, kinetic energy,etc
Energy conversions is the process of energy changing form within a single object. For example, when you release a pendulum, the potential energy it had while being drawn upwards is changed into kinetic energy or the energy of movement. The total amount of energy is kept the same, but is simply changing the amount of energy each type had.
Force is measured as the rate that the momentum of an object changes based on the mass of the object whose momentum is being changed. The unit used is Newtons, and is given as a single kilogram increasing in momentum by 1 meter per second per second.
Energy conversions is the process of energy changing form within a single object. For example, when you release a pendulum, the potential energy it had while being drawn upwards is changed into kinetic energy or the energy of movement. The total amount of energy is kept the same, but is simply changing the amount of energy each type had.
There is no single answer. Velocity is relative, and that means that the kinetic energy of a body also is relative. To calculate the kinetic energy you have to choose a reference frame, and the answer will be different depending on if you choose the person, the belt of the treadmill or the moon. Neither answer is more right or wrong than any other.
Average KE for molecules is defined by (3/2)RT: where R is the ideal gas constant (8.314 J K-1 mol-1 ) and T is the absolute temperature of the fluid (gas/liquid) in Kelvin. The reason for 3/2 is based on the x,y, and z planes that the gas molecules could be moving (vibrating, translating, rotating). For just a single plane it would be 1/2RT. The KE derived from the equation is the average KE for a mole of gas molecules and not the energy of every, or any of the molecules. A single gas molecules chosen at random may have any KE associated with it, but this equation gives the average of all molecules
All things are related through a single body of energy; the energy within the system that we call "the universe". Everything is comprised of energy, and energy can neither be created or destroyed. The energy within the universe cannot be added to or subtracted from, but it can transform within the system (e.g., potential energy to kinetic energy, matter to photons, chemical energy to kinetic energy, etc.)