QUESTION6 (2+3+2+3 10 Marks) A particle can only move along the x-axis. There is only one...
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?
4. Charges on x-axis produce an electric potential V(x) = 450x2 along the x-axis, where x is in meters and V is in volts. A particle of charge q 60 nC and mass m = - 1.5 g moves in this potential with turning points at +8.0 cm. (a) What is the total energy of the particle in this potential? (b) What is the speed of the particle at x = 3.0 cm? (c) What is the magnitude and direction...
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...
4. [3 points] A force parallel to the y-axis acts on a particle moving along the y-axis. This force produces potential energy U(y) given by U()-a By, where a 0.6 J/m2 and B 3.8J/m. What is the magnitude and direction of the force when the particle is at y 7.5 m?
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.
A 0.109-kg particle undergoes simple harmonic motion along the horizontal x-axis between the points ㄨㄧ--0.279 m and X2 = 0.499 m. The period of oscillation is 0.557 s. Find the frequency, the equilibrium position, Xeq, the amplitude, A, the maximum speed, Vmax, the maximum magnitude of acceleration, amax, the force constant, k, and the total mechanical energy, Etot
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 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?
(10%) Problem 13: A particle of mass 0.15 kg moves along the x-axis with a potential energy whose dependence on x is shown in the figure. U(X)(J) 4 12.07 .. 4.07 4.0 8.0 12.0 16.0 20.0 x(m) -4.07 -8.07 -12.07 25% Part (a) What is the force in the x-direction, in newtons, on this particle at x = 8.0 m? Grade Summary Deductions 0% Potential 100% π HOME sino cos tan cotan asin() acos atan acotan) sinh cosh) tanho cotanh()...
A 5.60-kg particle moves along the x axis. Its position varies with time according to x = t + 4.0t3, where x is in meters and t is in seconds. (a) Find the kinetic energy of the particle at any time t. (Use the following as necessary: t.) K = (b) Find the magnitude of the acceleration of the particle and the force acting on it at time t. (Use the following as necessary: t.) a = F = (c)...