Asquare loop of wire with side length 10 cm is moving to the right with constant speed of 16 m/s. the loop has total resistance of 0.8 ohms. it begins in a region with no magnetic field, then enters a region of magnetic field (wider than 10 cm) with a strength of 0.5 t pointing out of the page. finally it leaves the field. 1. when totally in the field, what is the magnitude of the magnetic flux through the loop? 2. as the loop enters the field, what is the magnitude of the induced emf around the loop?

Astudent throws a water balloon with speed v0 from a height h = 1.76 m at an angle θ = 21° above the horizontal toward a target on the ground. the target is located a horizontal distance d = 9.5 m from the student’s feet. assume that the balloon moves without air resistance. use a cartesian coordinate system with the origin at the balloon's initial position. (a) what is the position vector, rtarge t, that originates from the balloon's original position and terminates at the target? put this in terms of h and d, and represent it as a vector using i and j. (b) in terms of the variables in the problem, determine the time, t, after the launch it takes the balloon to reach the target. your answer should not include h. (c) create an expression for the balloon's vertical position as a function of time, y(t), in terms of t, vo, g, and θ. (d) determine the magnitude of the balloon's initial velocity, v0, in meters per second, by eliminating t from the previous two expressions.