Work in 1-dimension for simplicity. let ф(2', t) %3dt(2", 2)ф(т, t), where t(',x) is called the "space translation operator from x to x". so that r' = x + dx. explain why the following form makes (a) consider an infinitesimal space translation, sense for the corresponding "infinitesimal space translation operator": idx t(xdr, x) 1 + ô+ (dx2) (b) hence show that o is the momentum operator. (c) explain why the full space translation operator is thus given by and comment on the relationship of this expression to the usual taylor series expansion of /(x',t) around the point r

How do the measurements of charge at the different locations on the sphere compare to each other? the charge measurements are different at all locations on the sphere. the charge measurements are virtually not the same at all locations on the sphere except for the charge at the very top and at the very bottom that are equal. the charge measurements are virtually the same at all locations on the sphere except for the charge at the very top. at the top, the conductive sphere has a small disk that is made of different material. the charge measurements are the same at all locations on the sphere. what happens to the charge on the conductive sphere when it is connected to a source of charge such as the electrostatic voltage source? nothing will happen because no charge goes around the surface of the sphere. the charge on the conductive sphere spreads out over the surface of the sphere; being greater in some specific locations on the sphere. the charge on the conductive sphere spreads out uniformly over the surface of the sphere. the charge on the conductive sphere spreads out non-uniformly over the surface of the sphere.

What is the final velocity of the initial velocity of 25 and -50?

Thomas his older brothers, who own a junk yard, on the weekends to earn extra money. he likes to them push broken-down cars to the back of the junk yard because it makes him feel strong. last saturday, they pushed three cars with different weights, and he noticed he used different amounts of force for each one. the cars were the following weights: white car: 2,700 kg red car: 1,500 kg blue car: 2,100 kg think about how much force is needed to move each car. which correctly lists the cars in order from the most to least amount of force needed to move them? a) white, blue, red b) blue, red, white c) red, white, blue d) white, red, blue