Problem 8: A rod of m = 0.12 kg ảnd L = 0.55 m is on a ramp of two parallel rails with angle 0 28 with respect to the horizontal. The current on the rod is I- 0.055 A, pointing into the screen as shown. A uniform magnetic field B 0.55 T which points upward is applied in the region. Ignore the friction on the rails. in Δ Part (a) Calculate the component of the acceleration of the rod along the parallel rails in m/s2. Take up the ramp to be the positive direction tan() acos0 sin cotanasin atan()acotan( cosh tanhOcotanh0 cos0 OME 45 6 END ODegrees Radians BACKSPACE CLE Submit Hint I give up! Hints: 1% deduction per hint. Hints remaining: 3 Feedback: 1% deduction per feedback Part (b) What direction is the rod moving if it started from rest? Down the ramp. VCorreet!

A particle having mass m  = 2.80E-4 kg carries a negative charge q= −1.70E-6 C . The particle is given an initial velocity in the −y direction (downward), as shown in the figure, of v = 7.84E2 m/s. Everywhere in space there is a uniform constant magnetic field B = 0.340 T pointing in the +z  direction, which is out of the plane of the page. What is the speed of the particle after 7 periods of the cyclotron motion (in m/s)?

Problem 10: A magnetic needle with magnetic moment μ-0.065 Am2 is placed in a uniform magnetic field B0.65 T as shown in the figure. The angle between the direction of the magnetic moment and the direction of the magnetic field is θ 250 Randomized Variables μ= 0.065 Arn B- 0.65T θ 250 Δ Part (a) Express the potential energy U in terms oft, B, θ. | cos(p) sin(p) | cos(α) sin(a) cos(0) sin(0) ( HOMI 4 5 6 BACKSPACE CLEAR Submit Hint I give up! Hints: 1% deduction per hint. Hints remaining: 1 Feedback: 1% deduction per feedback. Part (b) Calculate the numerical value of U in J. Part (c) If θ can be changed, which value has the minimum potential energy? Part (d) If θ can be changed, which value has the maximum potential energy in degrees? Δ Part (e) Ignore the mass of the needle, express the work needed to change the angle from θ to α in terms oftı, B, θ, α Part (f) If α-1500, calculate the numerical value of the work in J.

A particle having mass m  = 2.80E-4 kg carries a negative charge q= −1.70E-6 C . The particle is given an initial velocity in the −y direction (downward), as shown in the figure, of v = 7.84E2 m/s. Everywhere in space there is a uniform constant magnetic field B = 0.340 T pointing in the +z  direction, which is out of the plane of the page. What is the speed of the particle after 7 periods of the cyclotron motion (in m/s)?