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

1#

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08.19: Kepler’s Second Law about “sweeping out equal areas in equal time” ca08,9l 9favz rjg v/flf7ve1jn n begjl,l9evzf9f8f /v7 0 v1anjr derived most directly from which conservation 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 follow elliptical or7lem 7 :ej5cljbits with the Sun located at one focus of the ellipse.” This statement is best summarized by which one of the following 77l: jclee jm5choices?

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 gravita.vnrgq*pk 68q8 aa(gvtional attraction between two small objects if the mass of each object is doubled and the distance between their centers is doubled?8g(k*.p 8qa6vv g nrqa

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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 other with a gravitas(e)lfe*2d s+hkm0z gtional force of 4.0 N. Wh)d*2hs kse 0gmlfe(+zat will be the force if the distance between them 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, non-rotating planets, X andY, have thee d d,j 5kp:bsc5:gps+ same uniform density. Planet X has twice the radius ope j:c +pb,k5ssd :gd5f 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 anmg sx qn+gq+;xog05y2 d Y, have the same uniform density. Planet X+sq+;gnxyxm0gg2oq 5 has twice the radius of 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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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 smalxr2-4 mq( alpqjiq b ziy)** w1 td4:hlst8-qcl satellite by setting the gravitational force on the satellite equal to the centripetal force on the satellite. Which of the following would NOT be:t-2 dp ys(rlahtlz8xq 1)j*b wiq4q *qim4c- 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 Glenn with a granbu h6if7 -wc r9z4yf o+8hh(avitational force F at the surface of the Earth.ihyf4o h9c(b -uwr nf+az67h8 When he made his famous 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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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 (ignore any inflhq 9 ;+o gc4*/m 9hsx8o+;y9y*o sgmoyrovhh fuence of the Sun), which one of the following best expresses the magnitude of the Mo+ 8;gmxc9shom*hoqho 9fgvy 4ooh/; s*y r+9yon’s acceleration 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 ear4i-w6eoha 0zy;yw uys b- ++weth with a cargo for the international space station, which of the following graphs wouldywz4 yo+0+ih6a-w uey-ebsw; best represent the gravitational 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 the surface of the Moongkr w qli;jn(bg;4w); experiences the same gravitational force as a second object at the surface of the Eaw;gri glj4(w n); ;bkqrth. 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, andwb5q22k vm6n qf7 /lob a weight, W, at the surface of the moon. If we assum 7 6bfq /bk5moqn2lvw2e 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 planet has seven times the mass of Earth and twice the radj+ 0sltjreyui., b;4v ius of Earth. The magnitude of the gravitational acceleration at the surface b elsj+4,rjuv;i .0tyof 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 radius one-half that of Eh:/c:1 c*h aul ywkjv-arth and a mass one-fifth the Earth’ac j hw*hvk c:/1uyl-:s mass. The gravitational 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 Planet X in a circui 3lzvoo,: jhlgc69g9lar orbit with a constant speed of 5,000m/s. The raj,i :3lch9g6 gov9ozldius of orbit 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

94.34: A hypothetical planet orbits a star with mass one-hi1 ;zos,1m+; ;ndq.wpnyv1n ecg j6ptalf the mass of our sun. The planet’s orbital radius is the same as the Earth’s. Approximately how many Eatj16,snp1eq; ocz mdw yin;1;.gn v+prth 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 circuocwefv ) 6 i7vn2dekt,u8u) 7blar orbit at the same altitude above Earth’s surface. The mass of satellite 2 is twice the mass 7 du,v 87i bu2ewfo)kc6e)nvtof 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 orbit around the Earth with a radiusv 8fdu3gm8 ii 16hah1j $r_1= R$. 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 l+9u/esirtl* problem, the word “weight” refers to the force a scale r llr9*/+sueit egisters. 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#

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10.42: A comet moves in an elliptical orbit arounj(nlmfq-(q9s9o t qb *d the sun. As the comet moves from aphelion (the point on the orbit fartq-obj nq((m9qf ts *l9hest 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

17.48: In the binary star sy6ml8r7bfplm2r x-g +r stem shown, the two stars follow circular orbits about the system’s center of mass. The stars are separated by a distancrr-72m6mlbl pfrx+8g e 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 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 oruy 6iz:oe2 )5s ip2psybital radius R around a heav)spz ye: 2opsu6yi2 i5y stationary 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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姓名:游客(未登录)

总分:22分及格:13.2分时间:不限时

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