A 0.40-kg mass attached to the end of a string swings in a vertical circle having a radius of 1.8 m. At an instant when the string makes an angle of 40 degrees below the horizontal, the speed of the mass is 5.0 m/s. What is the magnitude of the tension in the string at this instant?
A. 9.5 N
B. 3.0 N
C. 8.1 N
D. 5.6 N
E. 4.7 N
Answer: C
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A rod has a length 2.0000 m at 20.0°C. The length of the rod increases to 2.0005 m when the temperature increases to 40.0°C. What is the coefficient of thermal expansion of the material from which the rod is made?
A) 2.00 × 10-5/K B) 2.50 × 10-5/K C) 1.25 × 10-5/K D) 5.00 × 10-3/K E) 5.00 × 10-5/K
A shell-and-tube heat exchanger having one shell pass and four tube passes is shown schematically in the following sketch. The fluid in the tubes enters at 200°C and leaves at 100°C. The temperature of the fluid is 20°C entering the shell and is 90°C leaving the shell. The overall heat transfer coefficient based on the surface area of 12 m2 is 300 W/(m2 K). Calculate the heat transfer rate between the fluids.
GIVEN
• A shell-and-tube heat exchanger with one shell pass and four tube passes
• Temperature of fluid in tube
? Tt,in = 200°C
? Tt,out = 100°C
• Temperature of fluid in shell
? Ts,in = 20°C
? Ts,out = 90°C
• Overall heat transfer coefficient (U) = 300 W/(m2 K)
• Surface area (A) = 12 m2
FIND
• The heat transfer rate (q)
ASSUMPTIONS
• Steady state
• Exchanger geometry is countnerflow
SKETCH
During what phase of the Moon can you see the Moon in the early morning?
A. third quarter B. new moon C. full moon D. first quarter
Instructions: On occasion, the notation 
will be a shorthand notation for 
.
A vector 
is added to 
. The resultant vector is in the positive x direction and has a magnitude equal to . What is the magnitude of ?
A. 11
B. 5.1
C. 7.1
D. 8.3
E. 12.2