Instruction: Solve the following problems neatly and completely in a one (1) whole sheet of intermediate or yellow paper. 1. A particle with a charge of -1.24 x 10- C is moving with instantaneous velocity u = (1.49 x 10*") f+ (-3.85 x 10* ")j. What is the force exerted on this particle by a magnetic field (a) B = (1.40 7) + (-2.30 7)k and (b) B = (-1.25 T)i + (2.00 T); + (-3.50T)k? 2. A particle with mass 1.81 x 105 kg and a charge of 1.22 x 108 C has, at a given instant, a velocity # = (3.00 x 10*-). What are the magnitude and direction of the particle's acceleration produced by a uniform magnetic field B = (1.63 T) + (0.980 T);? 3. A circular area with a radius of 6.50 cm lies in the xy-plane. What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field B = 0.230 T (a) in the +z- direction; (b) at an angle of 53.1" from the +2-direction; (c) in the +y-direction? 4. The magnetic field in the certain region is 0.128 T, and its direction is that of the +2: axis in the figure below. (a) What is the magnetic flux across the surface aboo in the figure? (b) What is the magnetic flux across the surface befc? (c) What is the magnetic flux across the surface zefd? (d) What is the net flux through all five surfaces that enclose the shaded volume? b 30.0 cm 40.0 cm e 30.0 cm f 50.0 cm