A copper rod of length 1.14 m is lying on a frictionless table (see the drawing). Each end of the rod is attached to a fixed wire by an unstretched spring that has a spring constant of k = 77 N/m. A magnetic field with a strength of 0.26 T is oriented perpendicular to the surface of the table. (a) What must be the direction of the current in the copper rod that causes the springs to stretch? (b) If the current is 13 A, by how much does each spring stretch? fal Dinestien Table (top view) Fixed wires- ● (out of paper) Copper rod · - JENIF

1.7 x 10-27 kg and a charge 3.0 x 10 m/s in the direction illustrated by a red arrow in the drawing above. The particle enters a region with a uniform magnetic field of magnitude B = 0.1 T (direction is given as a black arrow in the drawing). An angle between velocity and A positively charged particle with a mass m = e = 1.6 x 101 C moves with a speed v = %3D magnetic field vectors is 30 degrees. (a) (E. motion in a plane transverse to B. Show that the radius of this circle is R = Part of the particle's trajectory in this region will be circular 0.16 m. (b) complete revolution around the circle is T = 6.7 x 107 s. Show that the time it takes the proton to execute one (c) Sketch the three-dimensional trajectory of the particle. How far will the particle move in the direction of B in the time T = 6.7 x 10 s?

A bar slides to the right at a constant speed of 2.1 m/s on two frictionless rails. The resistance of resistor R is 5.2 Q, and a 2.5 T constant magnetic field is directed perpendicularly downward, into the page. Let e = 1.2 m. Bin x x app x x (a) Find the current passing through the resistor. A I = (b) The direction of magnetic force on the moving bar is O No magnetic force O Right O Left O Out of the page O Into the page 1 x x x X x x x x X X x x * * x x x * * x x x x x x xx X X x x

Sodium ions (Na+) move at 0.858 m/s through a bloodstream in the arm of a person standing near a large magnet. The magnetic field has a strength of 0.254 T and makes an angle of 57.0° with the motion of the sodium ions. The arm contains 115 cm³ of blood with a concentration of 4.00 x 1020 Na+ ions per cubic centimeter. If no other ions were present in the arm, what would be the magnetic force on the arm? N

6. A ski starts from rest and slides down 20° incline 100 m long   (a) If the coefficient of friction is 0.090, what is the ski's speed at the base of the incline?    (b) If the snow is level at the foot of the incline and has the same coefficient of friction, how far will the ski travel along the level? Use energy methods.

An infinitely long wire carrying a current of I = 2.95 A is bent into the shape shown in the figure. The angle the arc subtends is e = 68.0° and the radius of the arc is 24.5 cm. Determine the magnitude and direction of the magnetic field at the point P which is at the center of the arc. (Let the +x direction point to the right, the +y direction point up, and the +z direction point out of the page.) magnitude direction --Select--- -Select--- +x

A 1.00 C charge enters a uniform magnetic field. The magnetic field vector has the following components:  1.00 T in the x-direction, 2.00 T in the y-direction, and 3.00 T in the z-direction.  The particle enters the magnetic field with a constant velocity whose components are as follows: 4.00 m/s in the x-direction, 5.00 m/s in the y-direction, and 6.00 m/s in the z-direction. - What are the components of the magnetic force in the particle? (Fx, Fy, and Fz) -  What is the magnitude of the magnetic force?

A current of strength I=1A flows through the copper wire. The wire consists of two straight parts between points A(1,2,3)cm and B(1,3,2)cm and between points B and C(2,1,3)cm. The wire is located in a homogeneous magnetic field of induction B=1T. a) If the total force on the wire is 0, calculate the direction of the magnetic field. b) If we rotate the direction of the magnetic field so that the total force on the wire is the largest, calculate the maximum possible force on the wire.