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Why if total momentum is zero but kinetic energy is not equal to zero?
This sounds like a trick question. Momentum has a sign (positive or negative), and if you have two masses that are going in opposite directions their total momentum is zero. But the sum of their kinetic energies is positive.
How do two kinetic energies compare with one another?
The kinetic energy of an object is directly proportional to its mass and the square of its velocity. When comparing two kinetic energies, the object with the greater mass or velocity will typically have a higher kinetic energy. Alternatively, if their masses and velocities are equal, then their kinetic energies will also be equal.
Can two moving cars of different mass have the same kinetic energy?
Yes, two moving cars of different mass can have the same kinetic energy if they are moving at the same speed. Kinetic energy depends on both mass and velocity, so as long as the cars are moving with the same speed, their kinetic energies will be equal regardless of their masses.
Two books with different masses fall off the same bookshelf as they fall which one has more kinetic energy?
The book with greater mass will have more kinetic energy as it falls from the bookshelf. Kinetic energy is directly proportional to mass, so the book with a higher mass will gain more kinetic energy due to its greater mass.
The different molecules that make up the air in a room have on average the same kinetic energy how does the speed of the different air molecules depend on their masses?
According to the kinetic theory of gases, the average kinetic energy of gas molecules in a room is proportional to temperature, not mass. However, the speed of individual gas molecules is inversely proportional to their mass - lighter molecules will move faster on average compared to heavier molecules at the same temperature. This is because kinetic energy is distributed among all molecules, and lighter molecules can move faster with the same amount of kinetic energy.
Why if total momentum is zero but kinetic energy is not equal to zero?
This sounds like a trick question. Momentum has a sign (positive or negative), and if you have two masses that are going in opposite directions their total momentum is zero. But the sum of their kinetic energies is positive.
If two objects have the same velocity do they have the same momentum?
No, because momentum depends on velocity and mass so they may have the same velocity but if they have different masses then they will have different momenta. (momenta is the plural form of momentum.)
How do two kinetic energies compare with one another?
The kinetic energy of an object is directly proportional to its mass and the square of its velocity. When comparing two kinetic energies, the object with the greater mass or velocity will typically have a higher kinetic energy. Alternatively, if their masses and velocities are equal, then their kinetic energies will also be equal.
Can two moving cars of different mass have the same kinetic energy?
Yes, two moving cars of different mass can have the same kinetic energy if they are moving at the same speed. Kinetic energy depends on both mass and velocity, so as long as the cars are moving with the same speed, their kinetic energies will be equal regardless of their masses.
Can two people be moving at the different speeds and have the same kinetic energy?
Sure. Kinetic energy depends on both mass and speed. So two objects could have different speeds, but if their masses are also different by just the right amount, their KE's could be equal.
Two books with different masses fall off the same bookshelf as they fall which one has more kinetic energy?
The book with greater mass will have more kinetic energy as it falls from the bookshelf. Kinetic energy is directly proportional to mass, so the book with a higher mass will gain more kinetic energy due to its greater mass.
The different molecules that make up the air in a room have on average the same kinetic energy how does the speed of the different air molecules depend on their masses?
According to the kinetic theory of gases, the average kinetic energy of gas molecules in a room is proportional to temperature, not mass. However, the speed of individual gas molecules is inversely proportional to their mass - lighter molecules will move faster on average compared to heavier molecules at the same temperature. This is because kinetic energy is distributed among all molecules, and lighter molecules can move faster with the same amount of kinetic energy.
What have the greatest velocity if each atom had the same kinetic energy?
Kinetic energy depends (increases with) both speed and mass. Therefore, if two different atoms have the same kinetic energy, the lighter atom would need to have a greater speed, to compensate.
Why molecules don't have the same speed at particular temperature?
Molecules in a substance have different speeds at a particular temperature due to their varying masses and kinetic energies. Temperature is a measure of average kinetic energy, so molecules with lighter masses will move faster than molecules with heavier masses, depending on the temperature. This variability in speed contributes to the overall distribution of molecular velocities within a substance.
What happens to kinetic energy when you decrease the mass?
Kinetic energy = K.E. = 1/2 (m)(v)2. Since mass, m, is part of this equation, we see that two particles of equal velocity but of different masses have different kinetic energies. In the case of equal velocities, the particle with the lesser mass will have the lower kinetic energy. Remember that momentum is the derivative of K.E., and so the momentum of an object is also related to the mass of an object as well.
Can two objects have the same temperature but different amounts of mass?
Yes, two objects can have the same temperature but different amounts of mass. Temperature is a measure of the average kinetic energy of particles in an object, while mass is the amount of matter in an object. So, it is possible for objects with different masses to have the same kinetic energy and therefore the same temperature.
Can two people be moving in different speed and have same kinetec energy?
Certainly, because kinetic energy is determined by both mass and speed. If I'm traveling at 1/2 the speed that you are, but I have 4 times as much mass as you have, then our kinetic energies are equal. And for an example in the other direction . . . If my mass is only 1% of yours, but I'm traveling at 10 times your speed, then our kinetic energies are equal. That's how a bullet or a baseball can knock a grown person off his feet. Kinetic Energy = 1/2 (mass) x (speed)2
