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ahmhum
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does anybody know if the action of a real mas-spring system suspended vertically, support or refute the law of conversation of energy
Do you think that this refutes conservation of energy? If so, how? And realize that there are many forces and factors envolved, so try to incorporate all of them in your explanation.ahmhum said:umm a mass hanging on a spring that is vertical
How did you come to these conclusions? So, you hang a mass from the ceiling by a spring. Then, you pull it down to to some elevation and hold it still. Then, you let it go. Is that the situation? I realize that this is just a thought experiment, but try to write a set of instructions for someone to follow so that they could repeat your experiment. This will do two things: 1) help you organize your thoughts and practice being a scientist, and 2) help me see where you are neglecting something.cmj91 said:At the start... all the energy is Elastic Potential ... then at the end... all the energy should be GPE
The spring potential energy should be measured from the unstretched position of the spring, not from the equilibrium position. Measure the change in spring PE from the highest position to the lowest position and then compare that to the change in gravitational PE between those same points.cmj91 said:Using Hooke's Law : 0.5*k*x2
= 0.5 * 40.875Nm-1 * (0.01m)2
0.002044Nm = 0.002044 J
Now the gain in Gravitational Potential Energy (GPE) of the mass :
GPE = Mass * Gravity Constant (9.81N kg-1) * Height Change
GPE = 0.4kg * 9.81Nkg-1 * 0.019m = 0.074556Nm = 0.074556 J
Yes. If you pull the mass a distance X below the equilibrium point and release it, it will rise to a point a distance X above the equilibrium point. (And then continue oscillating between those two points.)cmj91 said:Can I double check with you that in a perfect system (ie no resistance/loss in energy) a spring extended 1cm down would result in a 1cm gain above the equilibrium position?
A vertical mass-spring system is a physical system consisting of a mass attached to a spring that is suspended vertically from a fixed point. The mass can move freely up and down along the length of the spring, and the system is affected by the force of gravity.
The main components of a vertical mass-spring system are the mass, the spring, and the fixed point from which the spring is suspended. The mass and the spring work together to create oscillations in the system, while the fixed point serves as a reference point for measuring the movement of the mass.
A vertical mass-spring system behaves according to Hooke's law, which states that the force exerted by a spring is directly proportional to the displacement of the spring from its rest position. This means that as the mass moves up and down, the spring will stretch and compress, exerting a restoring force that causes the mass to oscillate.
The behavior of a vertical mass-spring system is affected by several factors, including the mass of the object, the stiffness of the spring, and the amplitude and frequency of the oscillations. These factors can impact the period (time for one complete oscillation) and the frequency (number of oscillations per unit time) of the system.
Vertical mass-spring systems have many practical applications, such as in shock absorbers for vehicles, vibration isolation systems for sensitive equipment, and as models for studying harmonic motion in physics. They are also commonly used in musical instruments, such as pianos and guitars, to produce sound through the vibrations of strings attached to a fixed point.