The potential energy of a particle = 3x2y (Joules). What is the x-component of the force on the particle if it is placed at location of (2 m, 6 m)?
The potential energy of a particle = 3x2y (Joules). What is the x-component of the force...
A particle enters a region where the potential in joules is given by U(x) = 2x3 + 2x2 where x is in meters. What is the x-component of the force felt by the particle if it is at x = 2 m? O 32N o -32 N 0-24N O 24N
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...
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 10 g particle has the potential energy shown in the figure. A) Draw a force-versus-position graph from x = 0 cm to x = 6 cm B) How much work does the force do as the particle moves from x = 2 cm to x = 6 cm ANSWER: W = -2.0J C) What speed does the particle need at x = 2 cm to arrive at x = 6 cm with a speed of 10 m/s? ANSWER: v_i...
U(x) Goules) x (meters) The graph above shows the potential energy upx) of a particle as a function of its position x a. Identify all points of equilibrium for this partidle. Suppose the particle has a constant total energy of 4.0 joules, as shown by the dashed line on the graph. b. energy of the particle at the following positions x2.0 m li.x=4.0 m c. Can the particle reach the position x-0.5 m?。Yes。No
An object's total energy is affected by a potential energy of the form U(x)=-6x^-2 (the potential has units of joules). What is the magnitude of the conservation force (in newtons) responsible for this potential when the object is at x=0.72 m. Give your answer with 2 sig figs.
A 4-kg particle moves along the x-axis under the influence of a conservative force. The potential energy is given by U(x) = bx^3 , where b = 8.0 J/m^3 . What is the magnitude of the acceleration of the particle (in m/s2 ) when it is at the point x = 2 m?
3. A particle subject only to conservative forces has the potential energy vs. position curve shown to the right. The function for the potential is: U(x)-k where γ 1.00 J.m2 and k-7.00 Jr. The particle has a mass of 3.00 kg. (a) Calculate the force on the particle as a function of position, F(x). (b) At which points, (A, B, C, D), must the particle be placed at rest such that it will stay at rest? Why must the particle...
A particle that can move along the x-axis experiences an interaction force Fx=(3x2−5x)N where x is in m. Find an expression for the system's potential energy. Express your answer in terms of the variables x and the constant of integration C, where C is in joules.
A force parallel to the x-axis acts on a particle moving along the x-axis. This force produces potential energy U(x) given by U(x) = αx4 , where α = 1.25 J/m4. What is the force (magnitude and direction) when the particle is at x = -0.856 m?