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一些学生在物理计算题的解题过程中具有浓厚的“数学味”。而真正的物理过程和物理意义却表达不明确,使解题过程条理不清楚,结果不确切,甚至错解等。现举一例说明之。 [例]如图所示上下都与大气相通的直圆筒,内部横截面积S=0.01米~2,中间用两活塞A与B封住一定质量的理想气体。A、B均可无摩擦上下滑动,但不漏气。A质量不计,B质量为M,并与一倔强系数k=5×10~3牛/米较长弹簧相连。已知大气压P_0=1×10~5帕,平衡时,两活塞间距离l_0=0.6米。现用压力F=5×
Some students have a strong “macho taste” in the process of solving problems in physics calculations. However, the true physical process and physical meaning are not clearly expressed, so that the process of solving the problem is unclear, and the results are inaccurate and even misleading. Here’s an example. [Example] As shown in the figure, a straight cylinder is connected to the atmosphere at both the upper and lower sides. The internal cross-sectional area S is 0.01 to 2 meters, and the two pistons A and B are used to seal the ideal gas of a certain quality. A, B can slide up and down without friction, but does not leak. The mass of A is not counted, the mass of B is M, and it is connected to a long spring with a coefficient of k=5×10~3 N/m. It is known that the atmospheric pressure P_0 = 1 × 10 ~ 5 Pa, when balanced, the distance between the two pistons l_0 = 0.6 meters. Current pressure F=5×