The potential energy of a particle = 3x2y (Joules). What is the x-component of the force...

Question

Question

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)?

science physics

Answer 1

Answer #1

given u= 3x2 y = 6x4 x-component of the force F = - du = -2 / Loxy) = - by Ę at (2m, 6m) is F = -6(6m) = -3657

Answer 2

Similar Homework Help Questions

A particle enters a region where the potential in joules is given by U(x) = 2x3...

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. ...

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 single conservative force F(x) acts on a 1.9 kg particle that moves along an x...

A single conservative force F(x) acts on a 1.9 kg particle that moves along an x axis. The potential energy U(x) associated with F(x) is given by U(x) = -4xe-x/6 where U is in Joules and x is in meters. At x = 2 m the particle has a kinetic energy of 7.4 J. (a) What is the mechanical energy of the system? (b) What is the maximum kinetic energy of the particle and (c) the value of x at...

A particle of mass 5 kg is subject to a conservative force whose potential energy (in...

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...

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...

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...

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...

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...

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 force F(x) = (−4.0x2 + 6.0x) N acts on a particle. Picking a convenient reference...

A force F(x) = (−4.0x2 + 6.0x) N acts on a particle. Picking a convenient reference point of the potential energy to be zero at x = 0, find the potential energy for this force. (Use the following as necessary: x. Assume U(x) is in joules and x is in meters. Do not include units in your answer.) The answer I get is (-4/3x^3) + 3x^2, but webassign says its wrong.