4. [3 points] A force parallel to the y-axis acts on a particle moving along the...
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?
QUESTION6 (2+3+2+3 10 Marks) A particle can only move along the x-axis. There is only one force acting on the particle along the x- axis and the force is conservative where the corresponding potential energy is given by U(x) = ar ifx = 0 or x > 0 where a= 2.0 J/m. The total mechanical energy of the particle is 20 J (a) Are there any equilibrium points? Explain your answer briefly (b) Determine the turning points or point for...
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 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...
Tin- diagram below shows a particle of charge q_0 = 2.00 muC moving along the +y axis with a speed v = 4.00 times 10^6 m/s. A magnetic field B of magnitude 4 00 times 10^-5 T is directed the +Z axis, and an electric field E of magnitude 120 N/C points along the -k axis Determine The magnitude and direction of the magnetic force on the charge. The magnitude direction of the electric force on the charge. The magnitude...
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
Pg.3 51. The position function of a particle moving along an x- axis is given by )4.Se+10+2: where x is measured in meters and t in seconds. a) Where is the particle located at exactly 1s? 5) What is the magnitude of the velocity at 1.5s? ) At what time, if ever, does the particle (momentarily) stop? d) Where is the particle at the time it stops? e) When, if ever, is its acceleration zero? 6] An Airplane whose ground...
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...
A single conservative force acts on a 4.50-kg particle within a system due to its interaction with the rest of the system. The equation Fx = 2x + 4 describes the force, where Fx is in newtons and x is in meters. As the particle moves along the x axis from x = 1.10 m to x = 6.55 m, calculate the following. (a) the work done by this force on the particle J (b) the change in the potential...