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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08.19: Kepler’s Second Law about “swkhbp:yh /y821yjj8 f aeeping out equal areas in equal time” can be derived most directly fj188a k/ybhhypy2jf: rom which conservation law?

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16.17:“All planets in the solar systevlj1h*kb(r xz(8fdc2m follow elliptical orbits with the Sun located at one focus of the ellipse.” This statement is best summarized by which one of the following choices? c(jhbk8z(2 *v xdf1lr

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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99.21: What happens to the force of graviplhktmbx4.7 i2 yg ;t+k-dk1 ltational attraction between two small objects if the mass of each object is doubled and the distance bekh7+ilk pt ;mxk1-24 dl.tbgytween their centers is doubled?

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95.09 Two spherical bodies attract each other with a gravitat 6pv/kc2rqth 3e1yo8wyabd.-ional force of 4.0 N. What will be the force if the distance betwervc -28.q3y /1w bp6 dathekoyen 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, non-rotating planets, X andY, have the same uniform denss b9tl(nw) e6xity. Planet X has twice the radi6ls(tb )9 wexnus 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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16.46 Two spherical, non-rotating planets, X and Y, have the sa ov6t,hfib :0ame uniform density. Planet X has twice the radius oi60o:haf v,tb f Planet 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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01.16: The mass of a planet can be calculated if it is orbited by a small sahdk4qcjcai6jlw ,0w6g+ ) s9 stellite by setting the gravitational force on the satellite equal to the centripetal force on the satellite. ks+cac0s,w9)6l6 q4dhijg wj 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 attrl;ii 6h;zsc9* muh9ynl1k 8whacts John Glenn with a gravitational force F at the surface of the Earth. When he made his famous 9zh m6 h9nisc;wlyih1l*k 8u; 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 (ignore any infl2rj z pc8yk5-cgo ,tmb,8c 1ztuence of the Sun), which one of the following best expresses the cp,k r8yc,mcj bzt 1to5-2gz 8magnitude of the Moon’s acceleration about the Earth?

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10#

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02.19: As a rocket blasts away fon- 7q6*hxlm) ( qzj.kzjpg 1srom the earth with a cargo for the international space station, which of the following graphs would best represent the gravitational g-nl67mzok qqp (1 .j*hxs)jz force on the cargo versus distance 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 gzv:4oj/bqhc;4vqy/ sa0 ew 5 the surface of the Moon experiences the same gravitational force as a second object at the surfag4y 0v;c/oqje bvs /wh54qz a:ce 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 object that has a mass, m, and a weight, W, at the suww ,o faj))* sg7no jo1akew58rface 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’s centeroaw*g o8kjw jaf57wson 1 ),e) and its surface?

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13#

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96.23: A hypothetical planet has sevenruejj ))paor8 8q,r.6ivh :bzd )j dw9 times the mass of Earth and twice the radius of Earth. The magnitude of the gravitational acceleration at the surface of this planet is mos depoz rq j)), r89:v8ba6.)jjud wriht nearly:

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14#

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98.24: A planet has a radius one-half that of Earth and a mass one-fifky(,6hv3xi ,g g4k+wq9x7jlmp6as r sth the Earth’s mass. The gravitational acce6,,4lspkjyg+qx( x 6a9mvwis7r3hg kleration at the surface of the planet is most nearly

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15#

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08.38: Akg 1200 satellite orbits Planet X in a circular orbit wbmos0g79 s8 n-ol2m6qo8 kedqith a constant speed of 5,000m/s. The radius of o0l9 smn 68q8-7smeodboqg ko2rbit is 7,500,000 m. What is the magnitude of the gravitational force exerted on the satellite by Planet X?

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16#

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94.34: A hypothetical planet orbits a star with mass one-half 6 )0kpro il1ikthe mass of our sun. The planet’s orbital radius is the same as the Earth’s. Approximately how many Earth years does it take for the planet to complete one or ) 0ip6iklrko1bit?

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17#

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97.12: Two artificial satellites, 1 and 2, are put intd:v hfkg4j 6r8o 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, what is the 86r jfkh4dg:v period of satellite 2?

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18#

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15.22 Satellite 1 makes a circular orbit arounddx9m jqhug/s n3-u5+m 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#

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98.33: In the following problem, the word “weight” refers to the force a scaayq.g8jf6s;j le registers. If the E sq86jf jg;.ayarth 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#

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10.42: A comet moves in an+hgge8t: fu wcv2 (6ac elliptical orbit around the sun. As the comet moves from aphelion (the point on the orbit farthest from the sun) to perihelion (the poincvtf68auhw eg2: g+c (t on the orbit closest to the sun), which of the following 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 sh2vtnfps 3yhe )87 gz(nown, the two 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 their mutual gravitational attraction. The orbital period of the star of mass M is T. Which one of the following choices represents the total myhp (e f3s2n8zvngt 7)ass 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#

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06.50: A rocket is in a circular orbit with speed vand o mfa hp+8vq3ff,u6k1vrbital radius R around a heavy stationary mass. An external impulse is quickly applied to the rocket directly opposite to the veloci+3fvk avm8 ,fpf u6h1qty 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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