... different. Kinetic energy is proportional to the square of the speed, wherease momentum is proportional to the speed.
The momenta would not be the same. Momentum is determined by both mass and velocity, so two objects with different masses and the same kinetic energy would have different momenta.
Smaller than the momentum of the larger mass.
less than the momentum of the larger mass
In a system where the total momentum is zero but the kinetic energy is not zero, it means that the opposing momenta of the individual objects cancel out, resulting in a net zero momentum for the system. However, the objects can still possess kinetic energy due to their individual speeds and masses, which contribute to the overall energy of the system.
You use the formula for kinetic energy for two different objects, inserting the corresponding speeds and masses, then you can compare them.
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.
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.
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.
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.)
You use the formula for kinetic energy for two different objects, inserting the corresponding speeds and masses, then you can compare them.
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.
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.
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.
Electricity is a form of energy that most people use daily, whether it's for lighting, heating, cooking, or powering electronic devices.
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.
Heating an evaporating dish can decrease its mass because the heat causes the liquid to evaporate, leaving behind solid residue or solute. The loss of liquid mass during evaporation reduces the overall mass of the dish.
To find the kinetic energy of the 4kg mass, we first calculate the velocity of the 4kg mass by using the principle of conservation of momentum. The total momentum before the explosion is equal to the total momentum after the explosion. Once we have the velocity of the 4kg mass, we can then calculate its kinetic energy using the formula KE = 0.5 * mass * velocity^2.
The kinetic energy of the softball at 3.30 m s the and a mass of 1.08 kilograms is 3.564 joules.
To calculate the velocity after a perfectly elastic collision, you need to apply the principle of conservation of momentum and kinetic energy. First, find the initial momentum of the system before the collision by adding the momenta of the objects involved. Then, find the final momentum after the collision by equating it to the initial momentum. Next, solve for the final velocities of the objects by dividing the final momentum by their respective masses. Finally, make sure to check if the kinetic energy is conserved by comparing the initial and final kinetic energy values.
No, equal masses of different kinds of matter do not necessarily have the same thermal energy because thermal energy depends on factors such as the specific heat capacity and temperature of the substance. Different materials have different abilities to store and release thermal energy, so even if they have the same mass, their thermal energy content may vary.