Two marbles are rolling along parallel tracks (which may or may not be inclined). A stroboscopic photograph showing a top view of the positions of the marbles at equally spaced instants of time looks like this:
At what instant(s) of time do the marbles have the same instantaneous velocity?
A. At time tB
B. At time tG
C. At both tB and tG
D. Some instant between tC and tD
E. Some instant between tD and tE
F. Roughly time tD
F. Roughly time tD
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In the context of star clusters, which of the following statements is true of the turnoff point?
A) It is the point on the main sequence of a Hertzsprung-Russell diagram that is used to determine the luminosity class of the stars in the cluster. B) Stars at this point are considered to have just taken birth and have 90 percent of their life remaining. C) The life expectancy of the stars at this point is not equivalent to the age of the cluster. D) It is the point on the main sequence of a Hertzsprung-Russell diagram where stars evolve to the right of the H-R diagram to become giants.
A 5,000 kg satellite is orbiting the Earth in a geostationary orbit. The height of the satellite above the surface of the Earth is 
A. 
B. 
C. 
D. 
E. 
Consider the ratio of the surface area of a cylinder to its volume. Assume the height is equal to its diameter. What happens to this ratio if the diameter of the cylinder decreases by a factor of 2?
A. Remains the same B. Decreases by a factor of 2 C. Increases by a factor of 2 D. Decreases by a factor of 4 E. Increases by a factor of 4
An amount of work equal to 2.0 J is required to compress the spring in a spring-gun. What is the "launch speed" of a 26.0-g marble?
a. 12.4 m/s b. 13.4 m/s c. 8.8 m/s d. 3.92 m/s e. 0.392 m/s