Which of the following observations of an extrasolar planet system would be inconsistent with what we expect from the nebular theory of solar system formation?
A) a system which has two terrestrial planets close in and two jovian planets farther out
B) a system in which some planets have small moons orbiting in a direction opposite to the planet's rotation
C) a system in which some planets rotate in a direction opposite to their orbits
D) a system in which all the planets orbit in completely different planes
D) a system in which all the planets orbit in completely different planes
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A solid lead cylinder 0.6-m in diameter and 0.6-m long, initially at a uniform temperature of 121°C, is dropped into a 21°C liquid bath in which the heat transfer coefficient h cis 1135 W/(m2 K). Plot the temperature-time history of the center of this cylinder and compare it with the time histories of a 0.6 m-diameter, infinitely long lead cylinder and a lead slab 0.6 m-thick.
GIVEN
• A solid lead cylinder dropped into a liquid bath
• Cylinder diameter (D) = 0.6 m
• Cylinder (L) = 0.6 m
• Initial uniform temperature (To) = 121°C
• Liquid bath temperature (T?) = 21°C
• Heat transfer coefficient h c= 1135 W/(m2 K)
FIND
(a) Plot the temperature-time history of the cylinder center (b) Compare it with the time history of a 0.6 m diameter, infinitely long lead cylinder (c) Compare it with the time history of a lead slab 0.6 m thick
ASSUMPTIONS
• Two dimensional conduction within the cylinder
• Constant and uniform properties
• Constant liquid bath temperature
SKETCH
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If the frequency of the motion of a simple harmonic oscillator is doubled, by what factor does the maximum acceleration of the oscillator change?
A) 2 B) 4 C) 1 D) 1/2 E) 1/4