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LO 7.2. What are the external genitalia of males? Penis and scrotum Prostate and urethra Testicles and bladder Vas deferens and prostate Epididymis and seminal vesicles

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3. Projectile motion: A stunt man drives a car at a speed of 20 m/s off a 30 m high cliff. The road leading to the cliff is inclined upward at an angle of 20°. (a) Draw a picture for this situation. Label the points where the car leaves as the "initial" point and label the point where the car is about the hit the ground as the "final" point. (b) Make sure to label a coordinate system and identify your origin. Then fill out the given and unknown quantities in the table below- Draw a picture for part (a) below: X $x_o = $ $x_f = $ $a_x = $ $v_{ox} = $ $v_{fx} = $ y $y_o = $ $y_f = $ $a_y = $ $v_{oy} = $ $v_{fy} = $ $t = $ (c) How far from the base of the cliff does the car land? (d) What is the car's impact speed? Note that you will have to solve for both the x and y components of the final velocities of the car.

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is best treated with medication. Unfortunatley motivation to take the drugs is low because

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4- Below figure shows an experiment for magnetic levitation of a steel ball. For small motions near the reference position the voltage e on the photo detector is related to the ball displacement x (in meters) by $e=100x$. The upward force (in Newton) on the ball caused by the current i (amps) may be approximated by $f=0.5i+20x$. The mass of ball is 20gr and gravitational force is 9.8 N/kg. The power amplifier is a voltage-to-current device with an output (in amps) of $i=u+V_o$. (40pt) a) Write the equation of motion for this setup b) Give the value of the bias $V_o$ that results in the ball being in equilibrium at x=0 (Assume u=0) c) What is the transfer function from u to e (using $V_o$ is part (b)). d) Design a proportional controller (i.e. $u=-Ke$) to stabilize this system. e) Plot step response of the system for a step input r=0.05m.

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6. Suppose that $X$ satisfies the 1-st Countability Axiom, and let $A \subset X$. Prove that $x_0 \in X$ is a limit point of $A$ if and only if there exists a sequence $\{a_n\} \subset A \setminus \{x_0\}$ such that $a_n \to x_0$. (See Section 17 for the definition of limit point.)

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A spring is compressed a distance, , from equilibrium. If the compression from equilibrium is decreased to , by what factor has the potential energy of the system changed?

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1. Find the equivalent inductance with respect to the terminals a, b [3 points each] 12 mH 24 mH 10 mH a 20 mH 30 mH 9 mH 15 mH 8 mH b 25 ?H 18 ?H a 60 ?H 30 ?H 75 ?H 12 ?H 15 ?H 38 ?H b

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8) The key space for a cryptosystem using 512-bit symmetric keys is A. $512^{100}$ B. $2^{512}$ C. $2^{256}$ D. $100^{512}$ E. Your answer:

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A00-2400-Vtranstormer has a series leakage reactance of 39.3 as referred to the high-voltage side. A load connected to the low voltage side is observed to draw 42KW at unity power factor and the voltage is measured to be 447V. Calculate the corresponding voltage and power factor as measured at the high-voltage terminals.

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Mechanisms 2. Propose an arrow pushing mechanism for the following transformations. For each reaction, indicate the total numbers of steps in the mechanism. You should utilize the space below to draw the mechanisms (variable points, 38 points total). A) HO OH $H_3O^+$ B) $HNO_3$ $NO_2$ $H_2SO_4$ C) $[H_2SO_4]$ $Me_2NH$ $-H_2O$

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jonathan p.