Particle of mass m moves along x-axis under a conservative force given by F=A(e^(-2(x-xo)/xo)-e^(-x/xo)) where A and xo are constants. Assume potential energy at infinity (Uo) =0.
Calculate the potential energy of the particle in term of A,x,and xo.
Particle of mass m moves along x-axis under a conservative force given by F=A(e^(-2(x-xo)/xo)-e^(-x/xo)) where A...
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?
A conservative force F(x) acts on a 1.7 kg particle that moves along an x axis. The potential energy U(x) associated with F(x) is graphed in the figure. When the particle is atx-2.0 m, its velocity is -1.7 m/s. (a) What is F(x) at this position, including sign? Between what positions on the (b) left and (c) right does the particle move? (d) what is its particle's speed at x = 7.0 m? x (m) 0 10 15 0 -5...
A conservative force F(x) acts on a 2.0 kg particle that moves along an x axis. The potential energy U(x) associated with F(x) is graphed in the figure. When the particle is at x-2.0 m, its velocity is -1.4 m/s. (a) What is F(x) at this position, including sign? Between what positions on the (b) left and (c) right does the particle move? (d) what is its particle's speed at x = 7.0 m? x (m) 10 15 (a) Number...
1a. 1b. 1c. A single conservative force = (AX - B) N, where x is in meters, and A and B are positive constants, acts on a particle moving along an x axis. The potential energy U associated with this force is assigned a value of 0 at x = 0. (a) Write an expression for the potential energy associated with this force. (b) What is the maximum positive value of the potential energy? In the figure, a block of...
A particle of mass m = 2.70 kg moving along the x axis from x = 0 to x = 10.6 m experiences a net conservative force in an isolated system given by F = 5x − 4, where F is in newtons and x is in meters. (a) What is the work done on the particle by the force F? J (b) What is the change in the potential energy of the system during this motion? J (c) If...
Q2)) A particle of mass m is under the action of a force given by : F = F + Cx; where F, and C are positive constants. If the particle starts motion from rest at x = 0; a) Is this force is conservative or not? and why? b) Find the change in its kinetic energy. c) Find the velocity of the particle as a function of distant x.
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...
The conservative force F = (3.00x + 4.00) N does work on a particle moving along the x axis. What is the magnitude of the change in potential energy (in J) of the particle when particle moves from x = 2.0 m to x = 3.0 m? a. 10.5 b. 11.5 c. 12.5 d. 13.5 e. 14.5
A particle of mass m moves in one dimension along the positive x axis. It is acted on by a constant force directed toward the origin with magnitude B, and an inverse-square law repulsive force with magnitude A/x^2. Find the potential energy function, U(x). Sketch the energy diagram for the system when the maximum kinetic energy is K_0 = 1/2 mv_0^2 Find the equilibrium position, x_0.
U(U) x(m) 5 10 15 A particle moves under the influence of a conservative force. The graph shows the potential energy U as a function of position x. Which of the following graphs best shows the force F exerted on the particle as a function of r? F(N) ->x(m) F(N) →x(m) (W)x+ F(N) (W)x+ F(N) (W)x+ F(N)