FPE-2 Given the potential energy function shown to the right, fill in the following table: Point a b C d e Sign of the slope (+,-, or 0) Sign of the force (+,-, or 0) (right or left) Force direction U(r) U-0 d
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Q: FPE-2 Given the potential energy function shown to the right, fill in the following table: U(r) Sign…
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We will answer the question using relation between potential energy function and force. The details are as follows.
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- Consider the potential energy diagram shown. (Figure 1) The curve represents the value of potential energy U as a function of the particle's coordinate x. The horizontal line above the curve represents the constant value of the total energy of the particle E. The total energy E is the sum of kinetic (K) and potential (U)energies of the particle. What point on the graph corresponds to the maximum kinetic energy of the moving particle? At what point on the graph does the particle have the lowest speed?Which of the following energy vs. time graphs match the color of the graphs below for a ball tossed straight up at an initial height. GRAPH Energy of A Tossed Ball 120 100 80 60 Маx. Height 40 20 Energy (J)In each situation shown in the figure below, a ball moves from point A to point B. For each case, find an algebraic expression for the change in potential energy in terms of the parameters given in the figure. You can assume that the radius of the ball is negligible. (Use any variable or symbol stated on each corresponding picture along with the following as necessary: g.) Δυ, Case 1 AU Case 2 %3D AU Case 3 m Case 1 R Case 2 B m m R 2R Case 3 1053 DM
- A free-floating ball is attached to three springs that are anchored to posts at points (0,0), (0, 1), and (2, 0) on the plane, each with the same spring constant k = 2kg/s. The ball will eventually come to rest at the point that will minimize the total (elastic potential) energy of the system. Find the coordinates of this point where the ball comes to rest. %3DConsider a force in R3 defined by f(x,y,z)=(6*x*y^3, 9*x^2*y^2+2*y,0). Find the potential energy U(x,y,z) such that U(0,0,0)=0.How did you solve D? Wouldn't it's distance be different from that of Point 1 to Point 2 as would be Point 3 to Point 2 and shouldn't that effect the answer for work needed to be done?
- Please explain An electrically charged particle is held fixed at the origin. Let V = 1/r be the potential energy of a second particle with unit electric charge located at (x, y, z), where r = sqrt(x^2 + y^2 + z^2). The force on this second particle is given by −∇V . Calculate the force on the particle when it is at (1, 2, −2). Show workingWork problemwhat is the work done by individual