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A solid cube of mass 21 kg and edge length 1.5 m rests on a horizontal floor as shown in the figure. A person then pushes on the upper edge of the cube. Assume the force F is applied at the corner of the cube at an angle of $\alpha = 15^\circ$ above the horizontal direction. At what magnitude of F will the crate begin to tip? Assume the frictional force from the floor is large enough to prevent the cube from sliding.

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If a lady consumer evaluated PRICESAT as 4, TASTESAT as 4, and SERVICE SAT as 4, then, what will be the expected OSAT? SUMMARY OUTPUT Regression Statistics Multiple R 0.567 R Square 0.322 Adjusted R Square 0.287 Standard Error 1.388 Observations 84.000 ANOVA df 4.000 SS 72.196 MS 18.049 F 9.367 Significance 0.000 Regression 152.221 Residual 1.927 Total 224.417 Coefficients Standard Error t Stat p-value Lower 95% Upper 95% Intercept 1.368 0.675 2.027 0.046 0.024 2.712 PRICESAT 0.337 0.112 3.007 0.004 0.114 0.559 TASTESAT 0.319 0.110 2.897 0.005 0.100 0.538 SERVSAT -0.010 0.115 -0.091 0.928 -0.239 0.218 FEMALE 0.323 2.165 0.033 0.056 1.341

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Q2. A cannon that is capable of firing a shell at speed $ v_{o} $ is mounted on a vertical tower of height $ h $ that overlooks a level plain below. What is the maximum range $ R $ of the cannon?

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The number of possible ligands to the Fe(II) group of heme within myoglobin is 0 1 02 6 8

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Suppose you borrow $458,000 at 5.52% annual interest compounded monthly, for 25 years. First, find the monthly payment. Then, fill in the following amortization schedule. The monthly payment is $ (Round to the nearest cent) Round the table values to the nearest cent. Month Interest Payment Principal Payment Loan Balance 1 $ $ $ 2 $ $ $ 3 $ $ $

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1. Fertilization by dad: provides rest of nuclear DNA to zygote and starts the translation of Maternal Gradient Proteins

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What is the worst-case big O running time for finding the maximum value in an array of size n by scanning from left to right and keeping track of the largest value? $O(n)$ $O(n^2)$ $O(1)$ $O(\log n)$ $O(n \log n)$ $O(2^n)$

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The model is shown below mathematics of a pendulum actuated by a motor. This pendulum models the dynamics of a simple optical arm.\\ $\ddot{\theta} + \frac{3g}{2l}sin(\theta) = \frac{3}{ml^2}T$\\ You want to bring the position of the pendulum at the equilibrium point $(\theta, \omega) = (0,0)^T$ by means of a PID controller:\ $C(s) = K_p + \frac{K_I}{s} + K_Ds$\ a) Find the values of the parameters $(K_P, K_I, K_D)$ PID controller that allows to bring the pendulum to the desired position.\ b) Is the PID controller capable of returning the pendulum to the equilibrium point $(\theta, \omega) = (0,0)$ if the initial condition is $(\theta, \omega) = (\pi/2,0)^T$? Justify the answer.\ Values\ Pendulum mass=1Kg\ Pendulum length=1m\ Gravity acceleration=g=9.81m/s^2

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For the circuit given in the figure find the Thevenin equivalent circuit: a) Find $v_{oc}$ and $i_{sc}$ Determine the value of $V_{TH}$ b) Find the $R_{TH}$ using two methods: - The definition of $R_{TH}$ - The method of test source $V_t$ and the resulting $I_t$

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4. a) Calculate the footprint (size) and cost of a solar farm to produce 1 MWh energy per day. The farm is located in an area with solar radiance equivalent to 5 kWh/m$^2$ and receives 10 hours sun per day. The farm is using solar cells made of polycrystalline silicon with 20% efficiency. The solar panels are made in 1m x 2m in size, and cost of each panel is $300. PTS: 10 b) If the output of the solar farm is used to produce hydrogen by electrolysis of water, calculate the volume of hydrogen produced at 500 atmosphere pressure. PTS: 10 c) Assume each fuel cell vehicle needs 5 kg of hydrogen on-board, how many fuel cell cars can be charged per day from the solar farm. PTS: 5

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lorenzo r.