We present the usefulness of the diagrammatic approach for analyzing two dimensional elastic collision in momentum space. In the mechanics course, we have two major purposes of studying the collision problems. One is ...We present the usefulness of the diagrammatic approach for analyzing two dimensional elastic collision in momentum space. In the mechanics course, we have two major purposes of studying the collision problems. One is that we have to obtain velocities of the two particles after the collision from initial velocities by using conservation laws of momentum and energy. The other is that we have to study two ways of looking collisions, i.e. laboratory system and center-of-mass system. For those two major purposes, we propose the diagrammatic technique. We draw two circles. One is for the center-of-mass system and the other is for the laboratory system. Drawing these two circles accomplish two major purposes. This diagrammatic technique can help us understand the collision problems quantitatively and qualitatively.展开更多
This paper studies the trajectory asymptotic behavior of a non-autonomous in- compressible non-Newtonian fluid in 3D bounded domains. In appropriate topologies, the authors prove the existence of the uniform trajector...This paper studies the trajectory asymptotic behavior of a non-autonomous in- compressible non-Newtonian fluid in 3D bounded domains. In appropriate topologies, the authors prove the existence of the uniform trajectory attractor for the translation semigroup acting on the united trajectory space.展开更多
Since their publications, theories in classical and modern physics have thoroughly studied the essence of matters. However, modern physical models only examined the change on the appearance of substances within its su...Since their publications, theories in classical and modern physics have thoroughly studied the essence of matters. However, modern physical models only examined the change on the appearance of substances within its surrounding space, and it has never involved the study of absolute space as models in modern physics did not endorse the existence of absolute space. This work put in question the theories of higher-dimensional Universe accepted in mainstream physics. In order to reignite discussions in the Essence of the Universe, the author proposed the hypothesis that the Essence of the Universe is the zero-dimensional space and that it does not change accordingly with the change in substances, and that space is only and solely space. This work explored the topic of a zero-dimensional Universe using Western and Eastern philosophical concepts and their derivatives. This work concluded that zero-dimensional space could be a possibility that should be further studied, that the <em>cause</em> and <em>information</em> of Intelligent Energy proposed by the author influenced the motion and change of substances, and that time and force were merely parameters that describe the state of matters.展开更多
We present the usefulness of mass-momentum “vectors” to analyze the collision problems in classical mechanics for both one and two dimensions with Galilean transformations. The Galilean transformations connect the m...We present the usefulness of mass-momentum “vectors” to analyze the collision problems in classical mechanics for both one and two dimensions with Galilean transformations. The Galilean transformations connect the mass-momentum “vectors” in the center-of-mass and the laboratory systems. We show that just moving the two systems to and fro, we obtain the final states in the laboratory systems. This gives a simple way of obtaining them, in contrast with the usual way in which we have to solve the simultaneous equations. For one dimensional collision, the coefficient of restitution is introduced in the center-of-mass system. This clearly shows the meaning of the coefficient of restitution. For two dimensional collisions, we only discuss the elastic collision case. We also discuss the case of which the target particle is at rest before the collision. In addition to this, we discuss the case of which the two particles have the same masses.展开更多
文摘We present the usefulness of the diagrammatic approach for analyzing two dimensional elastic collision in momentum space. In the mechanics course, we have two major purposes of studying the collision problems. One is that we have to obtain velocities of the two particles after the collision from initial velocities by using conservation laws of momentum and energy. The other is that we have to study two ways of looking collisions, i.e. laboratory system and center-of-mass system. For those two major purposes, we propose the diagrammatic technique. We draw two circles. One is for the center-of-mass system and the other is for the laboratory system. Drawing these two circles accomplish two major purposes. This diagrammatic technique can help us understand the collision problems quantitatively and qualitatively.
基金Supported by NSFC(51209242,2011BAB09B01,11271290)NSF of Zhejiang Province(LY17A010011)
文摘This paper studies the trajectory asymptotic behavior of a non-autonomous in- compressible non-Newtonian fluid in 3D bounded domains. In appropriate topologies, the authors prove the existence of the uniform trajectory attractor for the translation semigroup acting on the united trajectory space.
文摘Since their publications, theories in classical and modern physics have thoroughly studied the essence of matters. However, modern physical models only examined the change on the appearance of substances within its surrounding space, and it has never involved the study of absolute space as models in modern physics did not endorse the existence of absolute space. This work put in question the theories of higher-dimensional Universe accepted in mainstream physics. In order to reignite discussions in the Essence of the Universe, the author proposed the hypothesis that the Essence of the Universe is the zero-dimensional space and that it does not change accordingly with the change in substances, and that space is only and solely space. This work explored the topic of a zero-dimensional Universe using Western and Eastern philosophical concepts and their derivatives. This work concluded that zero-dimensional space could be a possibility that should be further studied, that the <em>cause</em> and <em>information</em> of Intelligent Energy proposed by the author influenced the motion and change of substances, and that time and force were merely parameters that describe the state of matters.
文摘We present the usefulness of mass-momentum “vectors” to analyze the collision problems in classical mechanics for both one and two dimensions with Galilean transformations. The Galilean transformations connect the mass-momentum “vectors” in the center-of-mass and the laboratory systems. We show that just moving the two systems to and fro, we obtain the final states in the laboratory systems. This gives a simple way of obtaining them, in contrast with the usual way in which we have to solve the simultaneous equations. For one dimensional collision, the coefficient of restitution is introduced in the center-of-mass system. This clearly shows the meaning of the coefficient of restitution. For two dimensional collisions, we only discuss the elastic collision case. We also discuss the case of which the target particle is at rest before the collision. In addition to this, we discuss the case of which the two particles have the same masses.
