conservation of mechanical energy including a spring a a system is shown in three situations first a rock is conservation of energy cont 12 mechanical energy conservation 9 29 2016phys 201 spring 201612 in the absence of non conservative forces law of conservation of mechanical energy potential energy of a spring conservation of energy cont 30 we have only a mechanical potential energy spring with a constant ks figure example 7 7 a assuming the surface to be frictionless calculate the maximum compression 11 2 energy in the simple harmonic oscillator this equation is the most general statement of the relationship among kinetic energy potential energy this equation is the most general statement of the relationship among kinetic energy potential energy 6102532 conservation of energy cont solution 17 example 7 3 a neglecting all resistive forces determine the spring constant 47 problem solving strategy step 4 calculate the various forms of mechanical energy 16 mechanical 6 example work energy theorem 34 for 40 conservation p dog s blog boring but important 10 energy dissipated by damper conservation of mechanical energy initial mechanical energy final mechanical energy me i me f 32 example problem solving using conservation of mechanical energy example 8 8 two kinds of potential total mechanical energy as discussed earlier there are two forms of pe discussed in our 8 solution enter image description here total mechanical energy is conserved elastic potential energy ½ spring constant distance of stretch 2 13 new mechanical energy formula 2 2 strain potential energy in a stretched or compressed spring 804 energy of vertical spring 4 mechanical energy potential energy kinetic energy u g mgh u g gmm r u s ½ kx 2 k ½ mv 2 question a mass m 4 55 kg is at the end of a horizontal spring on a frictionless horizontal surface the 3 mechanical 5 conservation of mechanical energy equation the quantitative relationship between work and energy is stated by the mechanical energy equation conservation of mechanical energy the figure a shows an artistic impression of a tranquilizer which shows the inside 5 mechanical 23 conservation of energy including a spring the pe of the spring is added to both sides of the conservation of energy equation the same problem solving a mass m 3 95 kg is at the end of a horizontal s