In the context of the behavior of black holes, briefly explain the concept of time dilation
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If you were to leap into a black hole of a few solar masses from a distance of an astronomical unit, the gravitational pull would not be very large, and you would fall slowly at first. Of course, the longer you fell and the closer you came to the center, the faster you would travel. Your wristwatch would tell you that you fell for about two months before you reached the event horizon.Your friends who stayed behind would see something different. They would see you falling more slowly as you came closer to the event horizon because, as described by general relativity, time slows down in curved space-time. This is known as time dilation. In fact, your friends would never actually see you cross the event horizon. To them you would fall more and more slowly until you seemed hardly to move. Generations later, your descendants could focus their telescopes on you and see you still inching closer to the event horizon. You, however, would have sensed no slowdown and would conclude that you had crossed the event horizon after about two months.
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Significant Figures: Add the following lengths, each obtained from a different measuring instrument, and round the answer to the proper number of significant figures: 20.02 m, 5.91 m, 0.0097 m, and 2.467 m.
Fill in the blank(s) with the appropriate word(s).
A car is moving with a speed of 32.0 m/s. The driver sees an accident ahead and slams on the brakes, giving the car a deceleration of 3.50 m/s2. How far does the car travel after the driver put on the brakes before it comes to a stop?
A) 4.57 m B) 9.14 m C) 112 m D) 146 m E) 292 m
Beryl states that insulation with the smallest possible thermal conductivity is best to keep a house warm in winter, but worst for keeping a house cool in summer. Sapphire insists the reverse is true: low thermal conductivity is good in the summer, but bad in the winter. Which one, if either is correct?
a. Beryl, because low thermal conductivity results in low heat transfer. b. Beryl, because low thermal conductivity results in high heat transfer. c. Sapphire, because low thermal conductivity results in low heat transfer. d. Sapphire, because low thermal conductivity results in high heat transfer. e. Neither, because low heat transfer is desirable both in summer and in winter.
A tank contains benzene, which has index of refraction 1.50. A dime is on the bottom of the tank. When viewed at normal incidence the dime appears to be 61 cm below the surface of the benzene. What is the actual depth of the benzene?
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