Show, by integrating Coulomb’s Law, that the field anywhere inside of a spherical shell with uniform surface-charge distribution, is zero. You are not allowed to make use of Gauss’ Theorem. Hint: start by showing that the field anywhere along an axis of the sphere is zero. Then, reason that any point within the sphere can be considered to be along a symmetry axis. Warning: be careful, once you do the integral, to make sure you take consistent signs for square roots.

1. what is the formula for finding the vertical distance between two points on a coordinate plane?

Pyotr tchaikovsky sporting goods operates on a 45% overhead based on the selling price, which results in an overhead of $65.34 on the newest version of an air hockey game set. if the air hockey game set costs pyotr tchaikovsky sports $49.32, find the selling price, the markup, and the net profit.

The krasnapolski is a top-of-the-line hotel in amsterdam, the netherlands. among their many services, they rent bicycles to guests. the bicycle checkout is open 24 hours per day 7 days per week and has 50 bicycles on hand. on average, 10 guests request a bicycle each day, arriving completely randomly at all times of the day during the spring and summer seasons. guests keep bicycles for four days on average, with a standard deviation of two days. how long does a guest on average have to wait for a bike? a. approximately 24 hours b. approximately 0.033 hours c. approximately 4 days d. approximately 47 minutes