animation about potential energy
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Answers:Potential Energy = kx where k = spring constant = 275 N/m x = distance travelled = 3.25 cm = 0.0325 m PE = 275 * (0.0325) => PE = 0.290 J
Answers:Basically, potential energy is stored energy that is waiting to be used. The opposite of potential energy is kinetic energy, energy that involves motion. But one thing that you should remember is that every single object existing has energy no matter if its moving, still, hot, cold, spherical or a cube. Everything has energy.
Answers:Conservation of Energy: Initial Energy = Final Energy Elastic PEi + KEi = Elastic PEf + KEf Elastic PE = 1/2kx^2 KE = 1/2mv^2 PEf = 0, KEi = 0 1/2(200N/m)(x)^2 = 1/2(0.91 kg)* (50m/s)^2 Solve for x
Answers:Part 1) The component of the force that points in the x direction of the does not configure into the problem because it has no bearing on the energy of the system. There is potential energy at the top of the incline and energy lost due to friction. When dealing with energies you look at the initial and final energy states of the system. If you have velocity at the end then that can be related to mgsin(o) if you want to think of some connection. When dealing with energies you have: Potential Energy: mgh (for objects at height h), 1/2 kx^2 (for compressed or elongated springs) Kinetic Energy: 1/2 mv^2 (object in motion) Energy loss due to friction: f*d (friction force over distance) You can find v using your equation of motion and force equations that deals with mgsin(o) if that is the connection you are looking for. Part 2) Charged particles have potential energy between them like massive objects have gravitational potential energy between them. When dealing with objects with mass the newtonian gravitational relationship is given by: F = -GMm/r^2. This is what you use to figure out the potential energy etc. For charged particles the coulomb force is related similarly by this equation: F = kQq/r^2. The Q's are the charges on each particle similar to the masses in the gravity equation. k is just a constant. Notice how both equations have the inverse square distance relationship. From this you can conclude that charged particles have potential just like massive objects. I find it strange that one is dealing with E & M during a mechanics course though! Part 3: I do not think you should be thinking of the negative as a direction. That will cause you much confusion. Remember that gravitational forces are always attractive forces and not repulsive. That is why the equation is set up the way it is. From the force equation you see above for gravity is negative. That means the force is attractive and it does not mean that the force is moving in the negative x direction. If you are looking at two objects you can always orient the objects along a straight line and the negative will imply that the force is pushing/pulling one object towards another. This might help you understand the signs a bit. It is confusing because sometimes the equations you get do imply a direction along the axis and sometimes it does not depending on the equation you have. Hope that helps.