Prof. Marcia Grail, assisted by her trusty android assistant Codex, is attempting to test her brand new super speed serum. In her lab/hideout, she has a chamber the size of a football field. She will take the serum and immediately run at 0.9c, while Codex remains at rest with respect to the lab. They each have identical timepieces in order to collect the data (the calculated dose means that she should only be able to run at that speed for 0.2 microseconds). Which person can measure the proper time in this situation? When Dr. Grail runs, does the field appear the same to her, or does it appear to change? Explain your answer.
Dr. Grail can measure proper time in this situation as she is at rest with her timepiece.
The field appear to change when Dr. Grail runs as she is moving relative to the field hence she measure contracted length.
(Her lab assistant is at rest with respect to the field so the field appears the same to her.)
Prof. Marcia Grail, assisted by her trusty android assistant Codex, is attempting to test her brand...
Satisfied with her previous experiment in the vacuum chamber, Prof. Marcia Grail needs to store a great deal of energy in order to launch her next attempt at world domination. She decides to store this energy in a gigantic parallel plate capacitor, with the area of the plates fixed, and the distance between the plates minutely tunable. This capacitor is placed in the vacuum chamber from the previous, and the atmosphere removed. If the capacitance is 0.01 Farad, and is...
(Previous) Prof. Marcia Grail is experimenting with energy and electric charge to better create a new doomsday weapon (and take over the world). She gathers a charge of 1.11 x 10^-10 C and places it in the center of a large empty spherical vacuum chamber of radius 250m (the place she fixes this immovable charge can be thought of as the origin of coordinates). The potential at a point 1m away in the positive y-direction is 1 V. What is...