Gravity and Planetary Motion - 无忧得胜-网上国际课程 (5edu.win)

1#

08.19: Kepler’s Second Law about “sweeping*,jfc w f+x6 w8dkzt*z out equal areas in equal time” can be derived most directly from which conservaf *x,wz*zj t6w 8df+kction law?

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2#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

16.17:“All planets in the solar system foll8.)y; d yheervy7 b/slow elliptical orbits with the Sun located at one focus of the ellipse.” This statement is best summarized by which one of /y.dyy8) bvr7l;see h the following choices?

A. Kepler’s First Law

B. Kepler’s Second Law

C. Newton’s Universal Law of Gravitation

D. Einstein’s Law of Gravity

E. Schwarzchild’s Law of Orbits

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3#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

99.21: What happens to the force of gravitatihkrio042 u+4iy vyu)conal attraction between two small objects if the mass of each object is doubled and the distance between their centerk04ruyhyivi4c o )+u2s is doubled?

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4#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

95.09 Two spherical bodies attract each othek. o7ft9g5ckh0 +psq ur with a gravitational force of 4.0 N. What will be the force if the distance between t9pq 75k ochfg0skt.u+hem is doubled?

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5#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

14.27: Two spherical, nonls)q ( :bxgt1fye06o*tioj cdb.g6v/ -rotating planets, X andY, have the same uniform density. Planet X has twice the radius itvgs qcb.6) gxy fo(btod 0je/l:61* of Planet Y. Let $g_x$ and $g_y$ represent the accelerations due to gravity at the surfaces of Planet X and Planet Y, respectively. What is the ratio of $g_x:g_y$?

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6#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

16.46 Two spherical, non-rotating planets, X and Y, have the same uniform*e.wijbx1y- sa3w ; jh density. Planet X has twice the radius of Pl.e*sj b3wi wh y-x1a;janet Y. Let $v_x$ and $v_y$ represent the escape speed at the surfaces of Planet X and Planet Y, respectively. What is the ratio of $v_x:v_y$?

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7#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

01.16: The mass of a planet can be calculated if it is orbited by a small satg584qb-ytron s azdyq71z5bu*3. itc ellite by setting the gravitational force on the satellite equal to t7cgqb b *qo8suz5i5 a-.yr3nd1t y z4the centripetal force on the satellite. Which of the following would NOT be required in this calculation?

A. the mass of the satellite

B. the radius of the satellite's orbit

C. the period of the satellite's orbit

D. Newton's universal gravitational constant

E. all of the above are required for this calculation

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8#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

99.11: Assume that the Earth attracts John Gleu hbistp)h2(;9 ngl0mnn with a gravitational force F at the surface of the Earth. When he made his famous second flight uib th2plmn 90(;s)hgin orbit, the gravitational force on John Glenn while he was in orbit was closest to which of the following?

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9#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

14.30: Considering only the Moon-Earth system (ignorip p9rfp7 g0;v t.z-nu2u3*ksxpy 5p xe any influence of the Sun), which one of the following best expresses the magnitude of the Moon’s accets2p-zxp xu. pfgrp3v;9p*k i0yn7 5uleration about the Earth?

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10#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

02.19: As a rocket blasts away from the earth6y(9/2gwq/mzoe ;a7bbq qtk v with a cargo for the international space station, which of the following graphs would best represent the gravitational force on the cargo versus d6(9 yq; k/z7 geovbwb2tqqm/ aistance from the surface of the Earth?

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11#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

99.33: One object at the surface of the Moon experiences thphjdoi 2w/to,r y55 np9rt+5 sc ,5leve same gravitational force as a second object at the surfacpywe 5rhrio,5jc2n9vlto t5+ 5psd/,e of the Earth. Which of the following would be a reasonable conclusion?

A. both objects would fall at the same acceleration

B. the object on the Moon has the greater mass

C. the object on the Earth has the greater mass

D. both objects have identical masses

E. the object on Earth has a greater mass but the Earth has a greater rate of rotation.

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12#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

00.24 Consider an objeck2y)ifcr e +;wt that has a mass, m, and a weight, W, at the surface of the moon. If we assume the moon has a nearly uniform density, which of the following would be closest to the object’s mass and weight at a distance halfway between Moon’sw;y2rc +fe)ki center and its surface?

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13#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

96.23: A hypothetical planet has seven times the mass of Evxshgn8)u8 v4w u, qg2arth and twice the radi 8vxh 24quvgws)u, gn8us of Earth. The magnitude of the gravitational acceleration at the surface of this planet is most nearly:

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14#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

98.24: A planet has a raj-9 .l,,ndsjveae t*9obfs+nykjc ;2dius one-half that of Earth and a mass one-fifth the Earth’s mass. The gravitational acceleration at the surface of te- s2l,sk c; +vydf9 btaoj9n.je,j*nhe planet is most nearly

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15#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

08.38: Akg 1200 satellite orbits Planet X in a cvlqs4da:y,qar9-+vnhj :s5w 8/ mmccircular orbit with a constant speed of 5,000m/s. The radius of orbit is 7,500,000 m. v h4sdj58 /w+na-:cyalq:,rcmvs 9mq What is the magnitude of the gravitational force exerted on the satellite by Planet X?

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16#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

94.34: A hypothetical planet orbitsm4qvi5wns7vkyr/n r1e qv3hc 5xf+ g5.z4v2b a star with mass one-half the mass of our sun. The planet’s orbital radine4rv iv .v7mkxwq /zh5fb3n4q c1 +ryv5s25gus is the same as the Earth’s. Approximately how many Earth years does it take for the planet to complete one orbit?

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17#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

97.12: Two artificial satellites, 1 and 2, are put into circular orbit at the5pan+ l2 6la ccfhp+zx2 uac27 same altitude above Earth’s surface. The mass of satellih 5l2ccn u2a az+7p6xl fp+2acte 2 is twice the mass of satellite 1. If the period of satellite 1 is T, what is the period of satellite 2?

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18#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

15.22 Satellite 1 makes a circular orbg /::gq ;60ufn:wtfd e9csmpgdg4;yo1zw am 2it around the Earth with a radius $r_1= R$. Satellite 2 makes a circular orbit around the Earth with a radius $r_2= 2R$. We let v represent the speed of a satellite and a represent the magnitude of a satellite’s acceleration. Which one of the following choices gives the correct relation between the speeds and accelerations of the satellites?

A. $v_2=\frac{1}{\sqrt{2}}v_1,a_2=\frac{1}{4}a_1$

B. $v_2=\frac{1}{2}v_1,a_2=\frac{1}{4}a_1$

C. $v_2=\frac{1}{\sqrt{2}}v_1,a_2=\frac{1}{2}a_1$

D. $v_2=\frac{1}{2}v_1,a_2=\frac{1}{2}a_1$

E. $v_2=v_1,a_2=\frac{1}{2}a_1$

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19#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

98.33: In the following problem, the word “weight” refers to the force a scale r+(dwg-f pve(br593 zzz ld zp-egistersp5 zl+e (zdzpg(-9-bz wv d3rf. If the Earth were to stop rotating, but not change shape,

A. the weight of an object at the equator would increase.

B. the weight of an object at the equator would decrease.

C. the weight of an object at the north pole would increase.

D. the weight of an object at the north pole would decrease.

E. all objects on Earth would become weightless.

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20#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

10.42: A comet moves in an elliptical orbit around the sun. As the comet crvdnyhf1 (b(k)l +o u(.a6lcmoves from aphelion (the point on the orbit farthest from the sun) to perihelion (the point on the orbit closest to the sun), which of the followi1cdc l (la) (nu.vfr(byo+6hkng results is true?

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21#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

17.48: In the binary star system shown, the two stars follow circular orbitxea f bpzp7f)c+-9aq(s about the system’s center of mass. The stars are separated by a distance D that is large com(axfppzeqa 7c)9bf-+ pared to their size and are subject only to their mutual gravitational attraction. The orbital period of the star of mass M is T. Which one of the following choices represents the total mass of the binary star system?

A. $\frac{π^{2}D^{3}}{5GT^{2}}$

B. $\frac{4π^{2}D^{3}}{5GT^{2}}$

C. $\frac{4π^{2}D^{3}}{GT^{2}}$

D. $\frac{16π^{2}D^{3}}{5GT^{2}}$

E. $\frac{25π^{2}D^{3}}{4GT^{2}}$

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22#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

06.50: A rocket is in a circular orbit with a /fgw).qb1n rspeed vand orbital radius R around a heavy stationary mass. An extw/)f1 qanbg. rernal impulse is quickly applied to the rocket directly opposite to the velocity and the rocket’s speed is slowed to v/2, putting the rocket into an elliptical orbit. In terms of R, the size of the semi-major axis a of this new elliptical orbit is

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