(--.-Problem 8: A spherical capacitor consists of a single conducting sphere of radius R 14 crm that carries a positive charge Q = 55 nC. The capacitance for this spherical capacitor is given by the equation C 4TeQR Banchi, Stephen-banchis3@students.rowan.edu @theexpertta.com- tracking id: 2N74-2F-82-4A-BAAB-13143. In accordance with Expert TA's Terms of Service. copying this information to any solutions sharing website is strictly forbidden. Doing so may result in termination of your Expert TA Account Part (a) Write an equation for the energy stored in a spherical capacitor when a charge Q is placed on the capacitor. Write your equation in terms of R, Q, and e,o Part (b) Use Gauss's Law to write an equation for the electric field everywhere inside the spherical capacitor (r< R) Δ . ,"、(Part (c) Use Gauss's Law to write an equation for the radial electric field at a radius r outside the spherical capacitor. Give your answer in terms of Q, r, and eo Part (d) Write an equation for the energy density due to the electric field outside the spherical capacitor in terms of Q, r, and έ0 -| Δ :Part (e) Consider a thin spherical shell of thickness dr and radius r > R that is concentric with the spherical capacitor. Write an equation for the total energy contained in the shell in terms of Q, r, dr, and eo -a" K/, Part (f) Find the total energy stored in the field by integrating the energy over the radius outside the conducting shell. Write this total energy contained in the shell in terms of , R, and є0 > Part (g) Calculate the energy stored in the capacitor in units of microjoules. sinO HOM cos cotanasi tan() acos) 456 atan()acotan) |sinh() coshtanh)cotanh() Degrees Radians BACKS Submit Hint I give up!

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Part A 1. A plane is heading due cast. Will its ground speed be greater than or less than its airspeed, and will its flight path be north or south of east when the wind is from a. N b. S 80° W c. S 30° E d. N 80° E

8 4a

Problem 1 student tries to help some local kids make a tire swing by throwing a rope over a branch, which is difficult because there are two branches (they should pick a different tree). The lower 1 m above that. The student throws the weighted end ofa very light rope with an initial angle of 0 = 70° releasing it underhand at a = 6 m from the tree. A branch is e = 7 m off the ground and upper is d 0.5 m from the ground while standing b Determine the INuge of minimum and maximm initial velocities required to get over the lowest lin:b (B) without hitting the upper branch (C).

3. One object dropped from the top of a tall building, and one second later a second object is dropped. Neglecting air resistance, the distance between the falling objects will a. Be constant b. Decrease c. Increase d. Depend on their weight e. Depend on the speed of the plane. Explain your reasoning:

P3b please help me with the answer and full solution