A particle enters a region where the potential in joules is given by U(x) = 2x3...
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...
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)?
A particle (q = 5.0 nC, m = 3.0 mg) enters a region where the magnetic field has components Bx = 0, By = 0 and B. = 4.0 T. The initial velocity of the particle as it enters this region is given by Vx = 7.0 m/s, Vy = 6.0 m/s and V2 = 8.0 m/s. (a.) What is the magnitude of the magnetic force and the magnitude of the acceleration of the particle? (b.) What is the radius...
A particle (q= 5.0 nC, m = 3.0 mg) enters a region where the magnetic field has components By = 0, By = 0 and B, = 4.0 T. The initial velocity of the particle as it enters this region is given by Vx - 7.0 m/s, Vy = 6.0 m/s and vz = 8.0 m/s. (a.) What is the magnitude of the magnetic force and the magnitude of the acceleration of the particle (b.) What is the radius and...
A 1kg particle is in a region where the potential energy can be represented by the function U(x) = x 2 − 5, where using x in meters will give you U in J. The particle is released from rest at x = 2.0m. (a)In which direction does it move? Why? (b)What is its velocity when it has moved 2m? (c)Where does the particle first come to rest after you release it? (d)Describe the long-term motion of the particle.
A single conservative force F = (8.0x - 12) N where x is in meters, acts on a particle moving along an x axis. The potential energy U associated with this force is assigned a value of 23 ) at x = 0. (a) Write an expression for U as a function of x, with U in joules and x in meters. U(X) = (b) What is the maximum positive potential energy? (c) At what negative value of x is...
Q3 Q3 A Particle(9=5.012.m= 3.0 mg) enters a region where the magnetic field has components Buz O By-O and Buz4.01 The initial velocity of the particle as it enters Elis region is given by V = 70 mis. Vy = 6 mls V2 = 8.0 mis A what is the magnitude of the magnetic force and the magnitude of the acceleration of the Particle ? B what is the radius and Pitch of the helical trajectory of this partide ?
A single conservative force F with arrow = (7.0x − 12)i hat N where x is in meters, acts on a particle moving along an x axis. The potential energy U associated with this force is assigned a value of 29 J at x = 0. (a) Write an expression for U as a function of x, with Vin joules and x in meters. U(x) (b) What is the maximum positive potential energy? (c) At what negative value of x...
5. Consider a particle moving in the region x>0 under the influence of the potential U(x) = C (a/x + x/a), where C=1J, and a=2m. (a) Find the equilibrium positions and determine whether they are stable or unstable. (b) Find U at those equilibrium positions. (c) Sketch U(x) without using a computer (explain how you get the sketch) and discuss the motion of the particle in details in all the different regions if its total energy E1 = 2 J,...
A particle with charge 7.76 x 10-8C is moving in a region where there is a uniform 0.700 T magnetic field in the +x-direction. At a particular instant, the velocity of the particle has components vx = -1.68 * 104 m/s, vy - -3.61 * 104 m's, and 13 -6.35 104 m/s. A. What is the x-component of the force on the particle at this time? B. What is the y-component of the force on the particle at this time?...