However the relative motion term k c o n v would be completely unaffected by the change in reference frame. So we can say that the work done by the force f on the object equals the kinetic energy gained by the object.
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The translational kinetic energy depends on motion through space and for a rigid body of constant mass is equal to the product of half the mass times the square of the speed.
Translational kinetic energy formula physics. At a microscopic level the translational kinetic energy of molecules is a measure of the temperature of a gas. If we heat the gas the translational kinetic energy of the molecules increases. Average translational ke molecule 3 2 k b t where k b boltzmanns constant 1 38 x 10 23 j k calculation of average translational kinetic energy for physics is made easier.
The kinetic energy is measured in joules j and the temperature is measured in kelvin k. The object has gained kinetic energy due to the motion caused by the applied force. So kinetic energy of a body can be either translational kinetic energy or rotational kinetic energy or both.
When two bodies collide inelastically there is a decrease in their translational kinetic energy after the collision. So we can conclude that the translational motion for an ideal gas depends on the temperature of itself. Clearly in such a reference frame the translational kinetic energy of the system k c m 1 2 m v c m 2 will also be zero since in that frame the center of mass is not moving at all.
The kinetic energy formula for a gas directly defines the kinetic energy possessed by each molecule. Work done on the object by the force f w fs cos θ 1 here θ 0 degree as the displacement s happens in the direction of the force f. The formula for the kinetic energy of a gas defines the average kinetic energy per molecule.
It can be expressed by the following relationship. Ke 1 x m x v2. The kinetic energy of the translational motion of an ideal gas depends on its temperature.
K average kinetic energy per molecule of gas j. 2 kinetic energy formula translational kinetic energy ke depends on speed v and mass m of the moving object. Motion of a freely falling body is a translational kinetic.
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