Description of the steps/processes involved based on electromagnetism in television (any concepts of magnetism)

Until he was in his seventies, Henri LaMothe excited audiences by belly-flopping from a height of 13 m into 35 cm. of water. Assuming that he stops just as he reaches the bottom of the water and estimating his mass to be 72 kg, find the magnitudes of the impulse on him from the water.

A cylindrical capacitor has an inner conductor of radius 1.5 mm andan outer conductor of radius 3.4 mm.The two conductors are separated by vacuum, and the entire capacitor is 3.0 m long. 
a) What is the capacitance per unit length? 
b)The potential of the inner conductor is 350 mV higher than that of the outer conductor. Find the charge (magnitude and sign) on both conductors. Find the charge (magnitude and sign) on both conductors.

A radar station, located at the origin of xz plane, as shown in the figure , detects an airplane coming straight at the station from the east. At first observation (point A), the position of the airplane relative to the origin is $\overrightarrow{R_A}$. The position vector $\overrightarrow{R_A}$ has a magnitude of ${\displaystyle {360}^m}$ and is located at exactly ${\displaystyle {40}^{\circ }}$ above the horizon. The airplane is tracked for another ${\displaystyle {123}^{\circ }}$} in the vertical east-west plane for ${\displaystyle {5.0}^s}$, until it has passed directly over the station and reached point B. The position of point B relative to the origin is $\overrightarrow{R_B}$ (the magnitude of $\overrightarrow{R_B}$ is ${\displaystyle {880}^m}$). The contact points are shown in the diagram, where the x axis represents the ground and the positive z direction is upward.

Define the displacement of the airplane while the radar was tracking it: ${\overrightarrow{R}}_{BA}={\overrightarrow{R}}_B-{\overrightarrow{R}}_A$. What are the components of ${\overrightarrow{R}}_{BA}$
Express ${\overrightarrow{R}}_{BA}$ in meters as an ordered pair, separating the x and z components with a comma, to two significant figures.

Four very long, current-carrying wires in the same plane intersect to form a square with side lengths of 45.0 cm, as shown in the figure blelow. The currents running through the wires are 8.0 A, 20.0 A, 10.0 A, and I.

Part A
Find the magnitude of the current I that will make the magnetic field at the center of the square equal to zero.
Part B
What is the direction of the current I (up or down)?

A constant potential difference of 12V is maintained between the terminals of a 0.25 micro-F parallel plate air capacitor. 
A. A sheet of Mylar is inserted between the plates of the capacitor completely filling the space between the plates. When this is done how much additional charge flows into the positive plate of the capacitor? (K for mylar = 3.1) 
B. What is the total induced charge on either face of the mylar sheet? 
C. What effect does the mylar sheet have on the electric field between the plates? Explain how you can reconcile thiswith the increase of charge on the plates, which acts to increase the electric field.