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Originally, scientists predicted small asteroids to be hard and rocky, as any loose surface material (called regolith) generated by impacts was expected to escape their weak gravity. Aggregate small bodies were not thought to exist, because the slightest sustained relative motion would cause them to separate. But observations and computer modeling are proving otherwise. Most asteroids larger than a kilometer are now believed to be composites of smaller pieces. Those imaged at high-resolution show evidence for copious regolith despite the weak gravity. Most of them have one or more extraordinarily large craters, some of which are wider than the mean radius of the whole body. Such colossal impacts would not just gouge out a crater-they would break any monolithic body into pieces. In short, asteroids larger than a kilometer across may look like nuggets of hard rock but are more likely to be aggregate assemblages-or even piles of loose rubble so pervasively fragmented that no solid bedrock is left. The rubble hypothesis, proposed decades ago by scientists, lacked evidence, until the planetologist Shoemaker realized that the huge craters on the asteroid Mathilde and its very low density could only make sense together: a porous body such as a rubble pile can withstand a battering much better than an integral object. It will absorb and dissipate a large fraction of the energy of an impact; the far side might hardly feel a thing. At first, the rubble hypothesis may appear conceptually troublesome. The material strength of an asteroid is nearly zero, and the gravity is so low one is tempted to neglect that too. The truth is neither strength nor gravity can be ignored. Paltry though it may be, gravity binds a rubble pile together. And anybody who builds sandcastles knows that even loose debris can cohere. Oft-ignored details of motion begin to matter: sliding friction, chemical bonding, damping of kinetic energy, etc. We are just beginning to fathom the subtle interplay of these minuscule forces. The size of an asteroid should determine which force dominates. One indication is the observed pattern of asteroidal rotation rates. Some collisions cause an asteroid to spin faster; others slow it down. If asteroids are monolithic rocks undergoing random collisions, a graph of their rotation rates should show a bell-shaped distribution with a statistical "tail" of very fast rotators. If nearly all asteroids are rubble piles, however, this tail would be missing, because any rubble pile spinning faster than once every two or three hours would fly apart. Recently, several astronomers discovered that all but five observed asteroids obey a strict rotation limit. The exceptions are all smaller than about 150 meters in diameter, with an abrupt cutoff for asteroids larger than 200 meters. The evident conclusion-that asteroids larger than 200 meters across are rubble piles-agrees with recent computer modeling of collisions. A collision can blast a large asteroid to bits, but those bits will usually be moving slower than their mutual escape velocity (the lowest velocity that a body must have in order to escape the orbit of a planet). Over several hours, gravity will reassemble all but the fastest pieces into a rubble pile.
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[数学 ]【新版】冲分救命题 -12222
Three numbers are to be selected at random and without replacement from the five numbers 4, 5,7,8, and 11.What is the probability that the three numbers selected could be the lengths of the sides of a triangle?
[数学 ]【新版】冲分救命题 -12221
There are 5!. or 120. ways of arranging 5 different solid-colored flags side by side. If the colors of the flags are red, blue,yellow,green, and orange,how many of those arrangements have either the red fag or the blue flag in the middle position?
[数学 ]【新版】冲分救命题 -12220
k is randomly selected from the set of integers from 1 to 100, inclusive.
[数学 ]【新版】冲分救命题 -12219
REENA'S MOVIE COLLECTION The table above shows the number of movies in each genre in Reena's movie collection. If two different movies are to be selected at random from the collection. what is the probability that neither movie will be in the science fiction genre?
[数学 ]【新版】冲分救命题 -12218
Several 0 and 1 are arranged in a 10*10 palace as follows. Among all the number 0, what is the probability that they are arranged in both an odd row and an odd column? Give your answer as a fraction.
[数学 ]【新版】冲分救命题 -12217
There are 5!, or 120,ways of arranging 5 different solid-colored flags side by side. If the colors of the flags are red, blue,yellow, green, and orange,how many of those arrangements have either the red flag or the blue flag in the middle position?
[数学 ]【新版】冲分救命题 -12216
Pat has five matched pairs of socks and no two of the pairs are the same color. If Pat selects two socks simultaneously and at random, what is the probability that the two socks selected will be a matched pair.
[数学 ]【新版】冲分救命题 -12215
A box contains 100 purple balls, 100 red balls, and 100 white balls. What is the minimum number of balls that must be chosen to ensure that at least 4 of the balls chosen have the same color.
[数学 ]【新版】冲分救命题 -12214
The cast of a certain play has 2 male characters and 2 female characters. The director of the play will select the 2 male characters from 6 male actors and the 2 female characters from 8 female actors. How many different sets of 4 actors, consisting of 2 male actors and 2 female actors, are there that can be selected by the director?
[数学 ]【新版】冲分救命题 -12213
P is the set of all of all positive factors of 20, and Q is the set of all positive factors of 12. If a member of Pwill be chosen at random, what is the probability that the chosen member will also be member of Q .
[数学 ]【新版】冲分救命题 -12212
Average Per-Pupil Expenditures for the I0 Percent of School Districts State X That Had the Highest Expenditures (Group H) Compared to the 10 Percent of School Districts That had the Lowest Expenditures (Group L)
[数学 ]【新版】冲分救命题 -12211
Average Per-Pupil Expenditures for the 10 Percent of School Districts State X That Had the Highest Expenditures (Group H) Compared to the 10 Percent of School Districts That had the Lowest Expenditures (Group L)For the 1986-87 school year, the ratio of the average per-pupil expenditures or the Group L districts to the average for the Group H districts was closest to
[数学 ]【新版】冲分救命题 -12210
Average Per-Pupil Expenditures for the I0 Percent of School Districts State X That Had the Highest Expenditures (Group H) Compared to the 10 Percent of School Districts That had the Lowest Expenditures (Group L) From the 1979-80 school year to the 1989-90 school year, the average per-pupil expenditures for the Group L school districts increased by approximately.
[数学 ]【新版】冲分救命题 -12209
As a telephone salesperson, Kay made an average (arithmetic mean) of x sales calls per day for n consecutive days. On the next day, she made k sales calls. Which of the following represents the average number of sales calls per day for the n+1 days?
[数学 ]【新版】冲分救命题 -12208
Set S consists of 8 positive integrs,3 of which are even, Set T consists of all numbers of the form x+x2 ,where x is member of set S.
[数学 ]【新版】冲分救命题 -12207
Lists S and T each consist of 5 consecutive integers. The greatest integer in S is equal to the least integer in T.
[数学 ]【新版】冲分救命题 -12206
[数学 ]【新版】冲分救命题 -12205
List S : 1,2 ,3, k,2k If k< 2, which of the following numbers could be the median of the five numbers in list ? Indicate all such numbers.
[数学 ]【新版】冲分救命题 -12204
In 1990 approximately what percent of the total population of neighborhood was foreign-born with Europe as region of origin?
[数学 ]【新版】冲分救命题 -12203
A list of the names of the people of the entire 1990 foreign-born population in neighborhood was generated, with each person’s name appearing once. The names of 2 different people will be randomly selected from the list. Which of the following is closest to the probability that both names selected will be names of people whose region of origin was “Other”?
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