Suppose that 
both have nonzero y and z components, but both also have zero x components. Which components of 
are nonzero? Select or indicate all the letters that apply.
A. 
is nonzero.
B. 
is nonzero.
C. 
is nonzero.
B. is nonzero.
C. is nonzero.
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When written in scientific notation, 42,300,000,000 is equal to _____
A) 423 × 1011 B) 4.23 × 1010 C) 0.423 × 1013 D) 42.3 × 108
Why do we call dark matter "dark"?
A) It emits no radiation that we have been able to detect. B) It is dark brown or dark red in color. C) It blocks out the light of stars in a galaxy. D) It contains large amounts of dark-colored dust.
A rectangular loop of wire of width 10 cm and length 20 cm has a current of 2.5 A flowing through it. Two sides of the loop are oriented parallel to a uniform magnetic field of strength 0.037 T,
the other two sides being perpendicular to the magnetic field. The magnitude of the torque on the loop is A) 0.0093 m?N. B) 0.025 m?N. C) 0.050 m?N. D) 0.0019 m?N. E) 0.038 m?N.
A stainless steel pin fin 5-cm-long, 6-mm-OD, extends from a flat plate into a 175 m/s air stream as shown in the sketch. Estimate (a) the average heat transfer coefficient between air and the fin. (b) the temperature at the end of the fin. (c) the rate of heat flow from the fin with glycerol at 20°C flowing over the fin at 2 m/s. The plate temperature is 50°C.
GIVEN
• A stainless steel pin fin in an air stream
• Pin length (L) = 5 cm = 0.05 m
• Pin diameter (D) = 6 mm = 0.006 m
• Glycerol velocity (U?) = 2 m/s
• Glycerol temperature (T?) = 20°C
• Plate temperature (Tp) = 50°C FIND
(a) The average heat transfer coefficient ( h c) (b) The temperature of the end of the fin (TL) (c) The rate of heat flow from the fin (qf) ASSUMPTIONS
• Steady state
• Turbulence in the glycerol approaching the fin is low
• Radiative heat transfer is negligible
• Steel is type 304
• Steel properties are uniform
• Variation of the thermal properties of glycerol and steel with temperature is negligible
PROPERTIES AND CONSTANTS
Thermal conductivity (k) = 0.285 W/(m K) Kinematic viscosity (?) = 1175 × 10–6 m2/s Prandtl number (Pr) = 12,609 for type 304 stainless steel ks = 14.4 W/(m K) at 20°C
