Starting from rest, a car accelerates down a straight road with constant acceleration a1 for a time t1, then the acceleration is changed to a different constant value a2 for an additional time t2 . The total elapsed time is t1 + t2 . Can the equations of kinematics be used to find the total distance traveled?
a. No, because this is not a case of constant acceleration.
b. Yes, use (a1 + a2)/2 as the average acceleration and the total time in the calculation.
c. Yes, use a1 + a2 as the acceleration and the average time (t1 + t2)/2 in the calculation.
d. Yes, break the problem up into 2 problems, one with the conditions for the first time interval and the other with the conditions for the second time interval, noting that for the second time interval the initial velocity is that from the end of the first time interval. When done, add the distances from each of the time intervals.
d
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You discover a binary star system in which one member is a 15 solar mass main-sequence star and the other star is a 10 solar mass giant star. Why should you be surprised, at least at first?
A) The two stars should be the same age, so the more massive one should have become a giant first. B) The two stars in a binary system should both be at the same point in stellar evolution; that is, they should either both be main-sequence stars or both be giants. C) It doesn't make sense to find a giant in a binary star system. D) A star with a mass of 15 solar masses is too big to be a main-sequence star. E) The odds of ever finding two such massive stars in the same binary system are so small as to make it inconceivable.
Which of the following statements about an ellipse is not true?
A) The semimajor axis of an ellipse is half the length of the longest line that you can draw across an ellipse. B) An ellipse with a large eccentricity looks much more elongated (stretched out) than an ellipse with a small eccentricity. C) A circle is considered to be a special type of ellipse. D) The focus of an ellipse is always located precisely at the center of the ellipse.
Is it possible to transfer heat from a cold reservoir to a hot reservoir?
A) No. B) Yes; this will happen naturally. C) Yes, but work will have to be done. D) Theoretically yes, but it hasn't been accomplished yet.