Recent content by SPhy

Homework Statement Compute Limit as x--> infinity of (logx)(log(logx)) / x The Attempt at a Solution Graphically, I see that the answer is perhaps zero, but I am not sure how to approach this algebraically. I worked at this for a couple hours, trying L'Hospital's rule but that did not really...

Homework Statement A gas-tight frictionless piston of small thermal conductivity slides in a thermally insulated cylinder, dividing it into two compartments, A and B, each containing nA=n and nB=0.45n moles of ideal monatomic gas (n moles). Initially the temperature of the gas is To in...

Ahhh! Got it, thanks!

For the equation to balance we must require 2NO2 . So the number of moles of gas that occupy the flask contain both gases? Thus the .00555 value is actually the disassociated amount?

I managed to get the correct answer, however I don't know if my logic was sound. Homework Statement At ordinary temperature nitrogen tetroxide is partially dissociated (broken up) into nitrogen oxide. Into an evacuated flask of 250 cm^3 volume, 0.86g of liquid N2O4 at 0 C is introduced. When...

Homework Statement Given a conservative force, how can we obtain the change in potential energy? Given a potential energy function, how can we determine the associated conservative force? One dimensional.Homework Equations Fx = -du/dx ΔU = -∫ F dx The Attempt at a Solution I know I can...

Correct, but my difficulty had lied in finding that T value. Which I believe is roughly, 1.01 seconds. From that point I can plug into car A's position to find brake distance.

Well, after .85 seconds, car B does have deceleration, and at that point, car A is still decelerating. Perhaps I can take advantage of the "reaction distance" of car B.

Is it possible for me to define the function, such that, car B's position function includes the deacceleration rate? Despite that, in the first .85 seconds, the speed is constant? If so, perhaps I can write... Car B x(t) = -(1/2)(a)(t - .85)2 + Vo(t - .85) + distance traveled after .85...

Understood. Hm, let's see, if we plug .85 seconds into car A's position function, we get, about 27.3 meters of travel. On the other hand, when we plug .85 seconds into car B's position function we get roughly 26.4 meters of travel. Which means, even after all the allotted reaction time has...

Homework Statement Car A is traveling at a speed of 31.0 m/s, car B is 3.5 meters behind car A traveling at the same speed. Suddenly, car A comes to a halting stop. Car B's reaction time to the stop is 0.85 seconds. Even if you assume both cars slow at the same rate, a crash will occur. Assume...

Even numbered book problem Homework Statement A person goes for a drive, and after, measured by the odometer, reads 37.35 miles in length. This person then replaces the tires with new ones and goes for the same drive, however, now the odometer reads 36.68 miles. Obviously the new tires are...

Homework Statement Find an expression equivalent for the derivative of the scalar triple product a(t) . (b(t) x c(t))The Attempt at a Solution Initially I figured since whatever comes out of B X C is being dotted with A, I can use the derivative rules of a dot product: (a(t)' . (b(t) x...

Homework Statement A particle with a unit charge enters a magnetic field B = i + j with velocity v = 17k . Find the magnitude and direction of the force on the particle. The Attempt at a Solution Had no issues finding the magnitude. However, when finding the direction of the force...

Homework Statement x = eKcos(k) y=eKsin(k) -∞ < K < ∞ Find an equation in polar coordinates for the above curve The Attempt at a Solution I am not fully clear as to what the question is asking. If its asking for (r,k), where K is normally a theta value then it would be...