The general expression EP=12kx2-kx0x of elastic potential energy is derived, which explains the common point that the potential energy has potential energy: the potential energy is related to the selection of the potential energy zero point. The potential energy value can take a positive value or a negative value, and the potential energy is increased. It has nothing to do with the choice of potential zero. In this paper, Fx discusses the potential energy of the spring oscillator. The image is clear, concise and intuitive, and it can be used to solve the physical problems simply. A horizontally placed spring oscillator with a stiffness coefficient of k and an object mass of m. Establish an ox coordinate system and select o point as the coordinate origin. The positional coordinate of the end point A (hereinafter referred to as the natural end point of the spring) when the spring is in the freely extended state is X0. When the spring is in any state, the position coordinate of the end point P (hereinafter referred to as the arbitrary end point of the spring) is X. If the origin of the coordinate is the potential energy zero point, according to the definition of the potential energy, the elastic potential energy is equal to the self-potential energy zero point to the P point and the elastic force. The collinearity and the reverse external force f do positive work. For the sake of simplicity, dx<0 is discussed as an example when x>0, dx>0 or x<0. Take the lead straight down to the ox axis, take the equilibrium position of the object as the coordinate origin and the potential energy zero point, then the spring natural end point coordinate xo<0, the spring arbitrary end point coordinate is x. The elastic potential energy is equal to the trapezoidal oocabc area, ie equal to the rectangular oocbc The sum of the area and the area of ​​the triangle ocab. If the equilibrium position of the selected object is the zero point of the gravitational potential energy, the gravitational potential energy is equal to the negative value of the area of ​​the rectangular ocde, which is larger than the area of ​​the rectangular oocbc, and is different. Therefore, the sum of the elastic potential energy and the gravitational potential energy of the spring oscillator is equal to the area of ​​the triangular ocab. If the X axis is translated upward by mg/k, the sum of the elastic potential energy and the gravitational potential energy of the quasi-spring oscillator is equal to the area under the curve fc=kxc. It can be seen from the above discussion that if the vertical suspension spring oscillator under gravity acts as the coordinate origin and the potential energy zero point, the sum of the elastic potential energy and the gravitational potential energy will appear in a single form of elastic potential energy, ie EP. =12kx2+k|xo|x-mgx=12kx2(2) The lower end of the spring with the stiffness coefficient K is vertically suspended with two objects, the masses are m1 and m2 respectively. After reaching the balance, the m2 is suddenly removed, and the maximum speed of the m1 motion is sought. Solve the vertical ox coordinate system, and select the equilibrium position after the spring suspension m1 as the coordinate origin and the elastic potential energy and the zero potential of the gravitational potential energy. If the spring, m1 and earth are selected as a system, according to equation (2) and the law of conservation of mechanical energy, there are E=12kx2+12m1v21=12k(m2gk)2 When x=0, Ek=12m1v21 is the maximum, that is, v1 is maximum. Therefore v1=m2g/m1k.
Led grow bars 320W, with 6head grow bar, samsung chip and meanwell driver, Epistar chip also available, 4/6/8/10/12 bars can be customized, each bar include 3500k white and 660nm red, the best spectrum for indoor plant growth, 3500 white can replace the sunshine lighting, give plants more energy.
Greenhouse Growing Light,Greenhouse Grow Lights,Greenhouse Plant Lights,Plant Grow Lights
Low Light Herbs,Cheap Grow Light For Herbs ,Indoor Herb Garden Light,Indoor Herbs Low Light
Shenzhen Wenyi Lighting Technology Co., Ltd , https://www.szwenyigrow.com