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F σ := σ ΔL F := Y Y = Young Modulus τ := τ S Δx := A L A h ΔP := B ΔV where B = Bulk modulus V S=shear modulus ρ := M F P := pressure at some depth P := P V A o + ρ g h 1.01310 5 1N 1atm := Pa 1Pa := 1m 2 1 buoyant force B := ρ fluid V fluid g continuity A 1 v 1 A 2 v 2 Bernoulli P + 2 ρ v2 + ρ g y constant ( ) 9 Fahrenheit TF 5 5 := T C + 32 Celsius T C := 9 T F 32 Kelvin T := T C + 273.15 1 Liter = 10-3 m 3 V cube = a 3 A circle = π r 2 Circumference = 2 π r ΔL := α L o ΔT ΔA := 2 α A o ΔT ΔV:= 3 α V o ΔT β V o ΔT Avogadro N A := 6.02 10 23 m atom := molar_mass P V N A n R T n = fraction or multiples of mol R = 8.31J/mol K The exam is closed book and closed notes. Choose the answer that is closest to the given answer. As a student at NJIT I, will conduct myself in a professional manner and will comply with the provisions of the NJIT Academic Honor Code. I also understand that I must subscribe to the following pledge on major work submitted for credit as described in the NJIT Academic Honor Code: On my honor, I pledge that I have not violated the provisions of the NJIT Academic Honor Code. 1. Bar One has a Young s modulus that is bigger than that of Bar Two. This indicates Bar One: a. is longer than Bar Two. b. has a greater cross-sectional area than Bar Two. c. has a greater elastic limit than Bar Two. d. is made of material that is different from Bar Two. e. the temperature of bar Two is lower 2. The standard kilogram is a platinum-iridium cylinder 39.0 mm in height and 39.0 mm in diameter. What is the density of the material? 1
a. 21.5 g/cm 3 b. 19.3 g/cm 3 c. 13.6 g/cm 3 d. 10.7 g/cm 3 e. 8.3 g/cm 3 3. A stonecutter s chisel has an edge area of 0.50 cm 2. If the chisel is struck with a force of 45 N, what is the pressure exerted on the stone? a. 9 000 Pa b. 90 000 Pa c. 170 000 Pa d. 450 000 Pa e. 900 000 Pa 4. A solid object is made of two materials, one material having density of 2 000 kg/m 3 and the other having density of 6 000 kg/m 3. If the object contains equal volumes of the materials, what is its average density? a. 3 000 kg/m 3 b. 4 000 kg/m 3 c. 4 600 kg/m 3 c. 5 300 kg/m 3 d. more information is needed 5. A piece of aluminum has density 2.70 g/cm 3 and mass 775 g. The aluminum is submerged in a container of oil (oil s density = 0.650 g/cm 3 ). How much oil does the metal displace? a. 287 cm 3 b. 309 cm 3 c. 232 cm 3 d. 428 cm 3 e. 1 125 cm 3 6. A block of wood has density 0.50 g/cm 3 and mass 1 500 g. It floats in a container of oil (the oil s density is 0.75 g/cm 3 ). What is the buoyant force? a. 10 N b. 15 N c. 20 N d. 25 N e. 30 N 7. A solid rock, suspended in air by a spring scale, has a measured mass of 9.00 kg. When the rock is submerged in water, the scale reads 3.30 kg. What is the density of the rock? (water density = 1 000 kg/m 3 ) a. 4.55 10 3 kg/m 3 b. 3.50 10 3 kg/m 3 c. 1.20 10 3 kg/m 3 d. 1.58 10 3 kg/m 3 e. 1.23 10 3 kg/m 3 8. The flow rate of a liquid through a 2.0-cm-radius pipe is 0.008 0 m 3 /s. The average fluid speed in the pipe is: 2
a. 0.64 m/s. b. 2.0 m/s. c. 0.040 m/s. d. 3.20 m/s e. 6.4 m/s. 9. An ideal fluid, (of density 0.90 10 3 kg/m 3 ), flows at 6.0 m/s through a level pipe with radius of 0.50 cm. The pressure in the fluid is 1.3 10 5 N/m 2. This pipe connects to a second level pipe, with radius of 1.5 cm. Find the speed of flow in the second pipe. a. 54 m/s b. 18 m/s c. 2.40 m/s d. 0.67 m/s e. 0.33 m/s 10. Water comes down the spillway of a dam from an initial vertical height of 170 m. What is the highest possible speed of the water at the end of the spillway? a. 15 m/s b. 25 m/s c. 58 m/s d. 86 m/s e. 137 m/s 11. It takes 2.0 minutes to fill a gas tank with 40 liters of gasoline. If the pump nozzle is 1.0 cm in radius, what is the average speed of the gasoline as it leaves the nozzle? (1 000 liters = one cubic meter) a. 0.27 m/s b. 1.1 m/s c. 11 m/s d. 23 m/s e. 64 m/s 12. If it is given that 546 K equals 273 C, then it follows that 400 K equals: a. 127 C. b. 150 C. c. 180 C d. 473 C. e. 1 200 C. 13. A temperature change from 15 C to 35 C corresponds to what incremental change in F? a. 20 b. 40 c. 36 3
d. 54 e. 73 14. A steel wire, 150 m long at 10 C, has a coefficient of linear expansion of 11 10 6 /C. Give its change in length as the temperature changes from 10 C to 45 C. a. 0.65 cm b. 1.8 cm c. 5.8 cm d. 8.6 cm e. 12 cm 15. A pipe of length 10.0 m increases in length by 1.5 cm when its temperature is increased by 90 F. What is its coefficient of linear expansion? a. 30 10-6 / C b. 17 10-6 / C c. 13 10-6 / C d. 6 10-6 / C d. 23 10-6 / C 16. Two moles of nitrogen gas are contained in an enclosed cylinder with a movable piston. If the molecular mass of nitrogen is 28, how many grams of nitrogen are present? a. 0.14 b. 56 c. 42 d. 112 e. 1/14 17. One way to heat a gas is to compress it. A gas at 1.00 atm at 25.0 C is compressed to one tenth of its original volume, and it reaches 40.0 atm pressure. What is its new temperature? a. 1 500 K b. 1 500 C c. 1 192 C d. 919 C e. 829 C 18. A spherical air bubble originating from a scuba diver at a depth of 18.0 m has a diameter of 1.0 cm. What will the bubble s diameter be when it reaches the surface? (Assume constant temperature.) 4
a. 0.7 cm b. 1.0 cm c. 1.4 cm d. 1.6 cm e. 1.8 cm 5
1D 2A 3E 4B 5A 6B 7D 8E 9D 10C 11B 12A 13C 14C 15A 16B 17D 18C 6