The following figure is a potential energy curve for a 1 kg object in an unusual conservative force. (20 Marks) a. Identify and label the locations and potential energies of points of stable and unstable equilibrium. b. List the ranges in x where the object would experience a force pushing in the positive x direction. c. List the ranges in x where the object would experience a force pushing in the negative x direction. d. If the object starts at rest at x = 1 m. i. Identify the location of its turning point. ii. At what value of x does it have maximum kinetic energy and what is its speed at that point? iii. Provide a sketch of its kinetic energy as a function of x (ensure the energy values are roughly correct in this sketch).
The following figure is a potential energy curve for a 1 kg object in an unusual...
(a) Sketch a potential energy function as a function of position (one-dimensional) that has two stable equilibriums and one unstable equilibrium. (b) For three different locations (none of which should be a point of equilibrium), indicate the direction of the force a particle at these locations would experience.
Learning Goal: To be able to interpret potential energy diagrams
and predict the corresponding motion of a particle. Potential
energy diagrams for a particle are useful in predicting the motion
of that particle. These diagrams allow one to determine the
direction of the force acting on the particle at any point, the
points of stable and unstable equilibrium, the particle's kinetic
energy, etc. Consider the potential energy diagram shown. (Figure
1) The curve represents the value of potential energy U...
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...
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...
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...
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...
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...
2) The figure shows the potential energy diagram of a particle oscillating on a spring. a) What is the spring's equilibrium length? b) The particle's turning points are at 16 cm and 24 cm. Draw the total energy line and label it Kinetic Energy (J) Potential Energy (J) 16 20 12 24 28 x(cm) Stuttga yom 1620 c) What is the particle's maximum kinetic energy? d) Sketch the particle's kinetic energy as a function of position. e) What will be...
The potential energy of an object constrained to move only along the x-axis is given by U=5x^2-4x where U is in Joules and x is in meters. a. Find the force associated with this potential. b. Assuming no other forces act on the object find the equilibrium positions of the object and determine whether each is stable, unstable, or neutral.