Aparticle is represented by the following wave function: ψ(x) = 0 x < −l/2 = c(2x/l + 1) − l/2 < x < 0 = c(−2x/l + 1) 0 < x < +l/2 = 0 x > +l/2 (a) use the normalization condition to find c. (b) evaluate the probability to find the particle in an interval of width 0.010l at x = l/4 (that is, between x = 0.245l and x = 0.255l. (no integral is necessary for this calculation.) (c) evaluate the probability to find the particle between x = 0 and x = +l/4. (d) find the average value of x and the rms value of x: xrms = (x2)av.

Ann walks 80 meters on a straight line 33 ∘ north of east starting at point 1. draw ann's path. represent ann's walk with a vector of length 80 meters. draw the vector starting at point 1. the length given in the display is in meters.

An charge with mass m and charge q is emitted from the origin, (x,y)=(0,0). a large, flat screen is located at x=l. there is a target on the screen at y position y(h), where y(h) > 0. in this problem, you will examine two different ways that the charge might hit the target. ignore gravity in this problem. 1.assume that the charge is emitted with velocity v(0) in the positive x direction. between the origin and the screen, the charge travels through a constant electric field pointing in the positive y direction. what should the magnitude e of the electric field be if the charge is to hit the target on the screen? express your answer in terms of m, q, y(h), v(0), and l. 2.now assume that the charge is emitted with velocity v(0) in the positive y direction. between the origin and the screen, the charge travels through a constant electric field pointing in the positive x direction. what should the magnitude e of the electric field be if the charge is to hit the target on the screen? express your answer in terms of m, q, y(h), v(0), and l.

Aman is trying to drag a small tree that he cut down. if the static coefficient of friction of the tree on the ground is 0.5 and the tree weighs 670 n, what is the minimum amount of horizontal force that the man will need to apply so that the tree will start moving? o a. 465 n o b. 230 n o c. 670 n o d. 335 n