(A) x = -7.90, -3, (B) x = -3, -2, 2 (C) x = -3, -0.38, 2 (D) x = -2.62, -0.38, 3

Transcription

1 ) A cubical container that measure 2 m on a side is tightly packed with eight balls and is filled with water. All eight balls are in contact with the walls of the container and the adjacent balls. All of the balls are the same size. What is the volume of water in the container. (A) 0.38 m 3 (B) 2.5 m 3 (C) 3.8 m 3 (D) 4.2 m 3 4) What are the roots of the equation 3 x 8x 3 = 0? (A) x = -7.90, -3, (B) x = -3, -2, 2 (C) x = -3, -0.38, 2 (D) x = -2.62, -0.38, 3 2) What is the rank of the matrix A? A = ) A transit set up 40 m from the base of the vertical chimney reads 32º30 with the crosshairs set on the top of the chimney. With the telescope level, the vertical rod at the base of the chimney is 2. m. Approximately how tall is the chimney? (A) 0 (B) (C) 2 (D) 3 3) At approximately what time between the hours of 2:00 noon and :00 pm would the angle between the hour hand and the minute hand of a continuously driven clock be exactly 80? (A) 5 m (B) 26 m (C) 38 m (D) 28 m 6.) Given dy dx = + x k (A) 2:28 pm (C) 2:33 pm (B) 2:30 pm (D) 2:37 pm What is the value of k such that y is perpendicular to the curve y 2 = 2x at x =? (A) 7 (B) 3 (C) 6 (D) 2 Page

2 7.) A curve passes through the point (,). Determine the absolute value of the slope of the curve at x = 25 if the differential equation of the curve is the exact equation y 2 dx + 2xydy = 0. (A) /250 (B) /25 (C) /50 5 (D) / 25 2.) The critical point for a mixture occurs for which of the following cases? (A) The vapor and liquid exist in a single form. (B) The liquid has no absorbed gas. (C) The vapor phase is stable. (D) The liquid is completely vaporized. 8.) A spherical balloon is filled with air at a rate of m 3 /s. Compute the time rate of change of the surface area of the balloon at the instant the balloon s volume is 3. m 3. (A) 0.67 m 2 /s (B).7 m 2 /s (C) 3. m 2 /s (D) 3.7 m 2 /s 3.) What is most nearly the standard heat of reaction, Δ H, per mole of C 6 H 6 for the following reaction? C 6 H 6 (g) 3C 2 H 2 (g) The enthalpy of reaction for C 2 H 2 if J/gmol; for C 6 H 6, it is J/gmol. (A) -650 kj (B) -600 kj (C) 600kJ (D) 650kJ 9.) Simplify the following expression 2 x 6 lim x 4 x 4 (A) 0 (B) 8 (C) 2 (D) 6 4.) SO 3 has a structural formula represented as a resonance hybrid. 0.) The mole is a basic unit of measurement in chemistry. Which of the following is NOT equal to or the same as mol of the substance indicated? (A) 22.4 L of nitrogen (N 2 ) gas at STP (B) 6.02 x 0 23 oxygen (O 2 ) molecules (C) 2 g of carbon atoms (D) 6 g of oxygen (O 2 ) molecules.) On a hot day, the temperature rises from 3 C in early morning to 37 C in the afternoon. What is the ratio of the concentration (in mol/l) of helium in a spherical balloon in the afternoon to the concentration of helium in the balloon in the morning? Which of the following is a true statement about the meaning of such a structure? (A) One-third of the SO 3 molecules exists as each of the three structures shown. (B) The true structure is a combination of the three with each S - - O bond identical to the other. (C) The molecule fluctuates between the three structures. (D) The arrows indicate equilibrium where an actual chemical reaction is taking place. (A) 0.5 (B) 0.69 (C) 0.92 (D). Page 2

3 5.) The following kinetic data were collected for a specific chemical reaction. What is the rate constant for the reaction? reaction: A + B 9.) The volatility, β, of a stock is found to be.5 times the stock market average. If the risk premium for buying stocks averages 8.3% and the present treasury bill rate (assumed to be risk free) is 7%, what is most nearly the expected rate of return (ER) on the stock? (A) 2.5% (B) 5.3% (C) 8.9% (D) 9.5% (A) 0.0 s - (B) 0.02 s - (C) 0.02 L/mol s (D) 0.03 L/mol s 20.) In determining the cost involved in fabricating subassembly B within XYZ Corporation, the following data have been gathered. 6.) When using net present worth calculations to compare two projects, which of the following could invalidate the calculation? (A) differences in the magnitudes of the projects (B) evaluating over different time periods (C) mutually exclusive projects (D) nonconventional cash flows 7.) A machine is under consideration for purchase. The cost of the machine is $ Each year it operates, the machine will generate a savings of $5000. Given an effective annual interest rate of 8%, what is the discounted payback period on the purchase in the machine? (A).67 yr (B).75 yr (C) 2.5 yr (D) 3.7 yr It is decided to subtract the manufacturing of subassembly B to an outside company. For an order of 00 units, which one of the following unit price bids from outside companies in unacceptable to XYZ Corporation? (A) $3.50/unit (C) $3.75/unit (B) $3.65/unit (D) $4.0/unit 2.) The balance sheet of Allied Company is as follows. 8.) What is work in progress classified as? (A) an asset (C) an expense (B) a liability (D) a revenue What is most nearly the acid test ratio? (A) 0.39 (B) 0.59 (C) 0.85 (D). Page 3

4 22.) For the system illustrated, determine the value of h that puts the system in equilibrium. 24.) The system shown is in equilibrium prior to the application of the 30 N force at A. After equilibrium is reestablished, what is most nearly the displacement at A? (A) 0.50 cm (B).0 cm (C).5 cm (D) 2. cm 23.) A cylindrical tank is at rest as shown. The tank has a weight of 00 kn. Approximately what horizontal force should be applied horizontally at point C to raise the tank? (A) 25 mm (B) 30 mm (C) 37 mm (D) 74 mm 25.) Determine the moment of inertia around the centroidal axis of the following beam. (A) 25 kn (B) 58 kn (C) 67 kn (D) 0 kn (A) 420 cm 4 (B) 650 cm 4 (C) 730 cm 4 (D) 950 cm 4 Page 4

5 26.) A bicycle moves with a constant deceleration of -2 m/s 2. If the initial velocity of the bike is 4.0 m/s, how far does it travel in 3 s? (A) 2.0 m (B) 2.5 m (C) 3.0 m (D) 4.0 m 29.) A 0.05 kg mass attached to a spring (spring constant, k = 0.5 N/m) is accelerated to a velocity of 0.4 m/s. What is the total energy for the body in the following diagram? Neglect the spring mass. 27.) A stream flows at v s = 4.5 km/h. At what angle, θ, upstream should a boat traveling at v b = 2 km/h be launched in order to reach the shore directly opposite the launch point? (A) J (C) J (B) J (D) J 30.) Two identical balls hit head-on in a perfectly elastic collision. Given that the initial velocity of one ball is 0.85 m/s and the initial velocity of the other is m/s, what is the relative velocity of each ball after collision? (A) 22 (B) 24 (C) 26 (D) 28 (A) 0.85 m/s and m/s (B).2 m/s and m/s (C).2 m/s and -5. m/s (D).8 m/s and m/s 28.) A lead hammer weighs 45 N. In one swing of the hammer, a nail is driven.5 cm into a wood block. The velocity of the hammer s head at impact is 4.5 m/s. What is most nearly the average resistance of the wood block? (A) 3020 N (B) 300 N (C) 3920 N (D) 4090 N Page 5