A composite beam of aluminum (Ea 5 72 GPa) and steel (Es 5 190 GPa) has a width b 5 25 mm and heights ha 5 42 mm and hs 5 68 mm, respectively. A bending moment is applied about the z axis resulting in a maximum stress in the aluminum of 55 MPa. The maximum stress in the steel is approximately:
(A) 86 MPa
(B) 90 MPa
(C) 94 MPa
(D) 98 MPa
(B) 90 MPa
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A deep space probe moving forward in space needs to make a course correction and so fires a thruster on the side of the probe 90° away from its direction of motion, as shown below. After the thruster is turned off, which trajectory best describes the probe’s subsequent motion?
A. A
B. B
C. C
D. D
E. E
Each of the following diagrams shows a planet orbiting a star. Each diagram is labeled with the planet's mass (in Earth masses) and its average orbital distance (in AU). Assume that all four stars are identical. Use Kepler’s third law to rank the planets from left to right based on their orbital periods, from longest to shortest. If you think that two (or more) of the diagrams should be ranked as equal drag one on top of the other(s) to show this equality. (Distances are to scale, but planet and star sizes are not.)
All optical telescopes will bring the light from a star to a focus
Indicate whether the statement is true or false
Young open clusters contain a lot of hot, young blue-white stars
Indicate whether the statement is true or false