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

?作业考试练习?美国物理杯赛(Physics Bowl)?Gravity and Planetary Motion

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习题练习：Gravity and Planetary Motion

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作者: admin 发布日期: 2025-09-14 23:04 总分: 22分得分: _____________

答题人: 游客未登录开始时间: 24年08月17日 16:00 切换到: 整卷模式

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单选题 ( 1.0 分) 切至整卷模式搜藏此题

08.19: Kepler’s Second Law about “sweeping out equal areas in equal ti)tso j)odyz) 44 2uszqme” can be derived most directly from whicstsquz)4o z)j yd)o 42h conservation law?

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单选题 ( 1.0 分) 切至整卷模式搜藏此题

16.17:“All planets in the solar system follow elliptical orbits with the Sun lojh3z3 /rkn c)scated at one focus of the ellipse.” This statement is best summarized by which one of the fo3 z/k)s3nch jrllowing 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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单选题 ( 1.0 分) 切至整卷模式搜藏此题

99.21: What happens to the force of gravitational attraction between two s+h;-v-iddo3 ro7l xqhza ;j1ymall objects if the mass of each object is dho ra37 zdvjyid;hl 1+qx- -o;oubled and the distance between their centers is doubled?

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单选题 ( 1.0 分) 切至整卷模式搜藏此题

95.09 Two spherical bodies attract each other with a gravitational force of 4x:v: *p iqjwlf0j 3ey;.0 N. What will be the force if the distance betwee jpej:yxv ;03:qfwl* in them is doubled?

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单选题 ( 1.0 分) 切至整卷模式搜藏此题

14.27: Two spherical, ,g dzh.- -fbln pwhef7r** zy.non-rotating planets, X andY, have the same uniform density. Planet X has twice the radius of Planet Y.-zb,efgh.n7w*pf* hl- dz y.r 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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单选题 ( 1.0 分) 切至整卷模式搜藏此题

16.46 Two spherical, non-rotating planets, X andoccq32mh 15gq4zg5h, x1j ffp Y, have the same uniform density. Planet X has twice the radius of Planet Y. Let fq54cm2p35cx gq11gh fojhz, $v_x$ 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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01.16: The mass of a planet can be calculated if qgnj*rsm(bi8 *(di1xk gfu( 0m rx6h8it is orbited by a small satellite by setting the gravitational force on the satellite equal to th u 8( f*kdn *rsg8hb6qrgjiim(1mx0(xe 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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单选题 ( 1.0 分) 切至整卷模式搜藏此题

99.11: Assume that the Earth attracts John Glenn with a gravitational .o y 2d9bjk)+wsi2mgn force F at the surface of the Earth. When he made his 9nb+gsyio m2 )j.k dw2famous second flight in orbit, the gravitational force on John Glenn while he was in orbit was closest to which of the following?

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单选题 ( 1.0 分) 切至整卷模式搜藏此题

14.30: Considering only the Moon-Earth system (iwjan4 u3t.m o0q tpd62gnore any influence of the Sun), wt340.6w noja 2d pmquthich one of the following best expresses the magnitude of the Moon’s acceleration about the Earth?

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10#

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02.19: As a rocket blasts away from the earth with a cargo for the internationwxrqb2-rp y59 al space station, which of the following graphs would best represent the gravitational force on the cargo versus distance from 9r5p-qrx2y bw 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 Moo;trb) 2 qhy8skj a1,jon experiences the same gravitational force as a second object at the surface of the Earth. Which of the following would be a reasonable cok8yqjsrj o, hb1;)2tanclusion?

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 object that has a mass, m, and a weight, W, at the surface obtko z0w hz a20*)1bfov.x6gaya1w l 2f the moon *ozk1yw6obg b0tzva w02a.xlha21)f. 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’s 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 plaz)v/p5:mkr sjwch07n net has seven times the mass of Earth and twice the radius of Earth. The magnitude of the gravitational accelerationvpsz:wn5h/)mc 0r 7kj at the surface of this planet is most nearly:

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14#

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98.24: A planet has a radius oojog 98wt)dw6ne-half that of Earth and a mass one-fifth the Earth’s mass. The gravi6)odjww 89og ttational acceleration at the surface of the 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 Planet3 z, bkf;5d 0thu.*md9te4 (xmunfnii X in a circular orbit with a constant speed of 5,000m/s. The radius of orbit is 7,500,000 m. What is the magnitude of the gravitational forcmt4td.n(5*uui,nf dmzx ;k fei9b3h0e 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 orbits -p zieuadv9b5x0:qgy q/m 03r a star with mass one-half the mass of our sun. The planet’s orbital radius is the same as the Earth’s. Approximately how many Earth0qvq3dyubx0i a:/ m p9-g ze5r years does it take for the planet to complete one orbit?

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17#

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97.12: Two artificial satellites, 1 and )n l/owden1sp) ka;9ppt(ghr (ob, d8 2, are put into circular orbit at the same altitude above Earth’s surface. The mass of satellite 2 is twice the mass of satellite 1. If the period of satellite 1 is T, whanbd,odat9osl egw 1 /p hp; rnk)(8()pt 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 orbit around the Earth with a rado80x tn3 ep) ,3tcdymhius $r_1= R$. 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#

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98.33: In the following problem, the word “weight” refers to the force a scale .gbmm(dx. )vvfm:8tfregisters. If the Earth were to sto:mgbfm8 vvx.dmt ).f( p 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 orbitpr5ua:r d9ko 7 around the sun. As the comet moves from apk957:rpdaur o helion (the point on the orbit farthest from the sun) to perihelion (the point on the orbit closest to the sun), which of the following results is true?

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21#

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17.48: In the binary star system shown, the d*-+, fmlvjnmh /8fustwo stars follow circular orbits about the system’s center of mass. The stars are separated by a distance D that is large compared to their size and are subject only to theirud-m+,hslm*8 j fnvf/ 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 speed vand orbiu:w gt2jx guhfp8z4 06tal radius R around a heavy stg46pf wt uhx028 uzj:gationary mass. An external 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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