U(x) Goules) x (meters) The graph above shows the potential energy upx) of a particle as...
The figure below shows a plot of potential energy U versus position x of a 1.04 kg particle that can travel only along an x axis. (Nonconservative forces are not involved.) In the graphs, the potential energies are U1 = 15 J, U2 = 30 J, and U3 = 40 J. The figure below shows a plot of potential energy U versus position x of a 1.04 kg particle that can travel only along an x axis. (Nonconservative forces are...
A particle of mass 5 kg is subject to a conservative force whose potential energy (in joules) as a function of position (in meters) is given by the equation U(x) =-100x5e-1x [where x > 0] (a) Determine the position xo where the particle experiences stable equilibrium (b) Find the potential energy Uo of the particle at the position x 2106 The particle is displaced slightly from position x = xo and released (c) Determine the effective value of the spring...
A particle is introduced to a region with a potential described by U(x)--2x2 +x*+1 Joules. 3. a. (2 pts) In software, plot the potential U) Set your axis ranges: -2 SxS2 and 0s b. (5 pts) Find the equilibrium positions and determine whether they are stable or c. (8 pts) Describe the motion of the particle for total energy values E-О.0.05. 1.0, 2.0 unstable. Explain how you arrived at your answers. (all in Joules). What I am looking for here...
The figure below shows a plot of potential energy U versus position x of a 1.36 kg particle that can travel only along an x axis. (Nonconservative forces are not involved.) In the graphs, the potential energies are U1 = 15), U2 = 30 ), and U3 = 40 ). Ur--- - U (1) --- + - --- 2 4 6 x (m) The particle is released at x = 4.5 m with an initial speed of 6.0 m/s, headed...
The figure shows a plot of potential energy U versus position x of a 0.280 kg particle that can travel only along an x axis under the influence of a conservative force. The graph has these values: UA = 9.00 J, UC = 20.0 J and UD = 24.0 J. The particle is released at the point where U forms a “potential hill” of “height” UB = 12.0 J, with kinetic energy 5.00 J. What is the speed of the...
Question 7 The figure shows a plot of potential energy U versus position x of a 0.220 kg particle that can travel only along an x axis under the influence of a conservative force. The graph has these values: UA = 9.00 J, Uc = 20.0 J and UD-24.0 J. The particle is released at the point where U forms a "potential hiir of "height" UB-12.0J, with kinetic energy 5.00 J. What is the speed of the particle at (a)x...
24&25 please The figure below shows the potential energy function U (r)for a particle moving along an axis labeled by the coordinate r. Values for energy and distance are in joules (j) millimeters (mm), respectively. The total energy of this particle is E = -4 J. Initially, the particle is at r = 1 mm and moving to the right (direction of increasing r) Which of the following statements best describes the subsequent motion of this particle? a. The particle...
The figure here shows a plot of potential energy U versus position x of a 0.886 ko partide that can travel only along an x ads.Noncordervative forces are not involved.) Three values are U 1 5), Us 35 ) and UC - 45 ). The partide is released at x - 4.5 m with an initial speed of 7.8 m/s, headed in the negative x direction. (a) If the partide can reach x™ 1.0 m, what is its speed there,...
Up x (m) Figure 5 Figure 6 Figure 6 above shows a plot of potential energy U versus position x of a 0.200 kg particle that can travel only along an x axis under the influence of a conservative force. The graph has these values: UA 9.00 J, Uc-20.00 J, and UD- 24.00 J. The particle is released at the point where U forms a "potential hill" of "height" UB 12.00 J, with kinetic energy of 4.00 J. If it...
A particle of mass m moves in one dimension. Its potential energy is given by U(x) = -Voe-22/22 where U, and a are constants. (a) Draw an energy diagram showing the potential energy U(). Choose some value for the total mechanical energy E such that -U, < E < 0. Mark the kinetic energy, the potential energy and the total energy for the particle at some point of your choosing. (b) Find the force on the particle as a function...