Question A shell is launched from a cannon and explodes mid-air. Which ofthe following is correct after the explosion?Since the explosion exerts external forces on the shell, neitherits horizontal momentum nor its vertical momentum is conserved.Since the explosion exerts only internal forces on the shell,both its horizontal and vertical momenta are conserved.Since the explosion exerts only internal forces on the shell,but gravity is an external force, neither its horizontal momentumnor its vertical momentum is conserved.Since the explosion exerts only internal forces on the shell,but gravity is an external force, its horizontal momentum isconserved but its vertical momentum is not conserved.Since the explosion exerts only internal forces on the shell,but gravity is an external force, its vertical momentum isconserved but its horizontal momentum is not conserved.

is the velocity-versus-time graph of a particle in simple harmonic motion. For help with math skills, you may want to review: vs (cm/s) 60- Calculating Trigonometric Function Values Integrating Trigonometric Functions 30 0 1(s) 12 3 6 9 -30 -60 Part A What is the amplitude of the oscillation? Express your answer with the appropriate units. View Available Hint(s) D .: НА ? Donaan What is the phase constant? Express your answer in radians. View Available Hint(s) PO AO ? Do rad Submit Previous Answers X Incorrect; Try Again; 5 attempts remaining Part C What is the position at t=0 s? Express your answer with the appropriate units. ► View Available Hint(s) NA ? Do = Value Units P Pearson

1. For a Solid Oxide Fuel Cell that uses hydrogen as fuel, calculate the maximum energy output possible at 800°C. 2. For a methanol fuel cell with total reaction equation and AG given, calculate the open circuit voltage. CH;OH + 3/2 O2 2H2O + CO2 AG = -698.2 kJ/mol 3. H2O is electrolyzed using an SOEC reactor. Inlet of the cathode has 30ml/min H20, outlet of anode has 5ml/min O2, and applied current is 2A. Calculate the H2O conversion and Faradaic efficiency (both in %). (Flow rates are given for gas phase in STP)

please help. with brief is possible. thank youwith 1 a, 1 b, 2 and 3 EXPERIMENTS Post-Laboratory Questions 1. In Step 24, you were instructed to wash the precipitates on the filter paper. a. Why was it necessary to wash the precipitate before drying. b. You were instructed to use dilute nitric acid to wash silver chloride, and to use distilled water to wash barium sulfate and calcium carbonate. Why was water used, in place of nitric acid, to wash barium sulfate and calcium carbonate? 2. Some precipitate is lost when the filter paper and precipitate is removed from the drying oven. The her paper and precipitate is subsequently weighed. Would the calculated percent by mass of the unknown lon in the compound be higher or lower than the true value? Justify your answer with an explanation 3. If the filter paper containing the precipitate is significantly charred in the drying oven because the oven temperature is to high, would the calculated percent by mass of the unknown lon in the compound be higher or lower than the true value? Justify your answer with an explanation

The probability density of a random variable $x$ is $$f(x)=a\ \cdotp x^2\ \cdotp \mathrm{e}^{−kx}\ (k>0,\ 0\leq x\leq \infty)$$ Then, the coefficient $a$ equals $$(i)\frac{k^3}{2}\ \ \ \ (ii)\ k^3 \ \ \ \ (iii)\ k^2 \ \ \ \ (iv)\ k \ \ \ \ (v) \frac{2\ \cdotp k}{\pi}$$ Here is what I've tried: $$\int_0^\infty f(x)\mathrm{d}x = 1$$ $$\int_0^\infty\left(a\ \cdotp x^2\ \cdotp \mathrm{e}^{−kx}\right)\mathrm{d}x = 1$$ solving by parts gives result as $$\left[-\frac{a\cdotp\mathrm{e}^{-kx}}{k}\cdotp\left(x^2+\frac{2x}{k}+\frac{2}{k^2}\right)\right]^\infty_0 = 1$$ Now, here I'm stuck. Can't find a way to solve $a$.

I have this question on a work sheet, I have completed part a, b, and c. However I'm not too sure how to work out the last part of it. Any tips or hints would be very much appreciated. Thank you! A prisoner in solitary confinement amuses himself by playing snakes and ladders. He uses a single six-sided die, and his counter starts at square $1$ . There is a ladder going from square $3$ to square $6$ , a ladder from square $4$ to square $8$ , a snake from square $7$ to square $2$ , and a snake from square $9$ to square $1$ . The game is finished when the counter reaches square $10$ and he needs to throw exactly the right number on the die to finish; if it is too large the counter remains unmoved. Use a vector $x(t) = (p_1, p_2, p_5, p_6, p_8, p_{10})^T$ for the probabilities of the counter being on square $(1,2,5,6,8,10)$ respectively at discrete time $t$ . Determine the probability $P(t)$ that the game has not finished at time $t$ . Plot $P(t)$ for $0 \leq t \leq 50$ . We are using matlab :)

The students can now conclude that: dc is divergent. In Planck's Radiation Law, we encounter the integral dx x5(ex – 1) + + 2e* 1+tse .00 of rolex - 1) Yx dec 2 е is convergent. dx sole - 1 1. Explain why a graph of the tangent line to et at t = 0 tells us that for all t. 1+t set X > 3 dx dc 25(e; - 1) < 3 oc dx 2. Substituting t = 1/x, show that for all x = 0 x’le1) x SUBMIT e1/– 1 > X 11 3. Use the comparison test to show that the original integral converges. ana 3a WP