obtain the relation between potential energy and force for conservative force
Answers
Answer:
We can define potential energy (PE) for any conservative force, just as we defined PEg for the gravitational force. The potential energy of a spring is PEs=12kx2 PE s = 1 2 kx 2 , where k is the spring's force constant and x is the displacement from its undeformed position
Answer:
Potential Energy and Conservative Forces
Work is done by a force, and some forces, such as weight, have special characteristics. Aconservative force is one, like the gravitational force, for which work done by or against it depends only on the starting and ending points of a motion and not on the path taken. We can define a potential energy (PE) for any conservative force, just as we did for the gravitational force. For example, when you wind up a toy, an egg timer, or an old-fashioned watch, you do work against its spring and store energy in it. (We treat these springs as ideal, in that we assume there is no friction and no production of thermal energy.) This stored energy is recoverable as work, and it is useful to think of it as potential energy contained in the spring. Indeed, the reason that the spring has this characteristic is that its force is conservative. That is, a conservative force results in stored or potential energy. Gravitational potential energy is one example, as is the energy stored in a spring. We will also see how conservative forces are related to the conservation of energy.