An electron enters a region of space at (0, 4) meters going at a velocity of V = 2 * 10⁶i – 3 * 10⁶j m/s. The electric field strength in the region is uniform and is equal to E = -3i - 5j mN/C. Calculate the final velocity and position of the electron after 3 mseconds.

An RLC circuit consists of a resistor R = 12 LaTeX: \ OmegaΩ, a capacitor C = 0.1 F and an inductor L = 2 H. A voltage source is connected that supplies 110 V. If initially the capacitor is
discharged and no current flows through the circuit, find an expression for the charge at all times t.

City of Indianapolis v Edmond 2000: Indianapolis police set up roadblocks in an effort to intercept unlawful drugs by stopping and searching every single care that passed the checkpoint. Edmond, an attorney, sued for a class of motorists stopped at checks saying they violated the 4th amendment.

Did it? Why? Why not?

B= 0.40 ( into the page)

two protons (one proton q=⁺1.6x10^-19L)

V= 2.0 x 10⁴m/s (right x-direction)

a)What is the magnitude and direction of the magnetic force?

b)This force causes it to move in a circular path, the radius of the path is 1.04mm. What is the mass of the particle?

4.Suppose the market for hamburger (restaurants) is perfectly competitive. Suppose the government provides an unit subsidy to hamburger. Explain with the aid of detail diagrams, the immediate effect and long run effect on the following 4 variables:

i)Ps

ii)Pc

iii)Qm

iv)Qi

and

v) # of firms

a. suppose you have been asked to make 2 liters of sucrose syrup at a concentration of 15% w/v how many grams of sucrose would you add?
b. assuming that 1 gram of water is 1 mL of water, what is the molality (m) of the sucrose in the solution question a?

Use SVD method to compress and decompress images in the MATLAB.

Compression function. The input is an image file and k. The output is a text file containing the reduced U, V , and the reduced diagonals of ?.

Decompression function. The input is the output of the compression code. The output is an image (you can use imshow for this purpose).

delta S= 614

delta H = 3934.55

Discuss the values of delta H and delta S determined for Zn(s) I Zn^2+ (aq) II Pb^2+ (aq) I Pb(s) (analysis V. 1-2) in terms of

a. Whether the reaction is endothermic or exothermic

Calculate M for trial 1 and 2 show calculation

Weight of Fas: Trial 1-1.00g Trial 2- 1.00 g

Final reading of buret: 18.00 mL 18.00mL

Initial reading of buret: 50.00 mL 50.00mL

V to equivalence pt.: 26.00mL 26.00mL

Molarity of KMnO4: ? ?