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动能定理不仅适用于单个物体,同时也适用于几个物体组成的系统。本文给出个物体组成的系统——二体问题在不受力的情况下的动能定理及其应用。 1 二体问题动能定理质量分别为m_1和m_2的两个物体组成的系统在不受外力的条件下,相互作用的内力分别为F_(12)、F_(21),则对m_1和m_2分别写出动能定理为: F_(21)·s_(1地)=1/2m_1v_(1t)~2-1/2m_1v_(10)~2, (1) F_(12)·s_(2地)=1/2m_2v_(2t)~2-1/2m_2v_(20)~2, (2) 由于F_(12)=-F_(21),(1)+(2)式得: F_(21)·(S_(1地)-S_(2地))=1/2m_1v_(1t)~2+1/2m_2v_(2t)~2
The kinetic energy theorem applies not only to a single object but also to a system composed of several objects. This paper presents a system composed of objects - the kinetic energy theorem of the two-body problem without force and its application. 1 The Kinetic Energy Theorem of the Two-body Problem The system of two objects with masses m_1 and m_2 interacts with F_(12) and F_(21) under the condition of no external force, and writes to m_1 and m_2 respectively. The kinetic energy theorem is: F_(21)·s_(1)=1/2m_1v_(1t)~2-1/2m_1v_(10)~2, (1) F_(12)·s_(2)=1/ 2m_2v_(2t)~2-1/2m_2v_(20)~2, (2) Since F_(12)=-F_(21), (1)+(2) yields: F_(21)·(S_(1) Ground)-S_(2 places))=1/2m_1v_(1t)~2+1/2m_2v_(2t)~2