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+p,h9yr cgj(xt4mka2 Law about “sweeping out equal areas in equal time” can be derived most direct,r m(taj y2+g9px4hck ly from which conservation law?

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16.17:“All planets in the solar system follow elliptical orbits with(f26ah kh0 ,+. tbc kjglt,nmk the Sun located at one focus of the ellipse.” This statement is best summarized by wh l+,knhj t(,mcbhg26at k kf0.ich one of 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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单选题 ( 1.0 分) 切至整卷模式搜藏此题

99.21: What happens to taf , dy q36uvj-1*0v.dqdjcpohe force of gravitational attraction between two small objects if the mass of each object is doubyfvd 6j3-ou ad*0 1jp ,dqqcv.led and the distance between their centers is doubled?

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95.09 Two spherical bodz+ -cmx 6zfq+hnr7qt3ies attract each other with a gravitational force of 4.0 N. What will be the force if the distance between them i 7c+h3-mxn+qrf zzq t6s 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, hz*sy.i0h7x: :8z1w pg8bkndl,yx nzgg o98h e ave the same uniform density. Planet X has twice the radius of Planet Y. Letyxe7z 9 p d:sl z8wxogg*81,h nn. kyzg:0ihb8 $g_x$ 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 same uniforl4)r ledod5 j6m density. Planet X has twice the radius of Planet Y. Let)4r5eojd6d ll $v_x$ 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 calcuc)uok v5 u-e6*jdb 6gclated if it is orbited by a small satellite by setting the gravitation co*e6-)dg uuk5bcj6v al force on the satellite equal to the 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 E8 6 g1i9))lorioemh rharth attracts John Glenn with a gravitational force F at the surface of the Earth. When he made his oo8))rh ir el1m69hg ifamous 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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14.30: Considering only the Moon-Earth system (ignore any influence of 1b;i1/t cs ezfthe Sun),bz;fite/ cs 11 which 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 in2, nwkc,,r(cez; ms zfternational space station, which of the following graphs would best represent the gravitational force on the cargo versus distance from the surface2fzk , cw(;smcn ,e,zr of the Earth?

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11#

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99.33: One object at the surface of the Moon ex1g9 dlh5a icpbhzg *gs:7 bj0-periences the same gravitational force as a second obja -d 0hbg91bg5szl gpj 7i:*chect at the surface 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, anq rd 53+;eleu*0xq3dmjqq* yid a weight, W, at the surface of the moon. If we assume the moon h dx0irqq*u y35;+ejqd* 3lq meas 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#

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96.23: A hypothetical planet has seven times the masfphgu ymx/esa6*m) 5 .s of Earth and twice the radius of Earth. The magnitude of the gravitational acceleration at the surface of this pemmagy x)6ps5f/*.hu lanet is most nearly:

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14#

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98.24: A planet has a radius one-hal4wfo + cvbz r0fd)4z*3iey*iuf that of Earth and a mass one-fifth the Earth’s mass. The gravitational acceleration at the surface of the planet is most nefi )ebio4wczr*fd 0v3+4*z uy arly

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15#

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08.38: Akg 1200 satellite orbits Planet X in a circul-9/caydqtj ,nar orbit with a constant speed of 5,000m/s. The radius of orbit qdct, na/-y9j 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 hypotheticalpidsb. h0+ hh 2qcc1.+leoq3 r planet orbits 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 Earth years does it take for the planet toe h .+1cb3h2qplisd0.ch+r oq complete one orbit?

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17#

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97.12: Two artificial satellites, 1 and 2, are put into circular orbit at the 0z.p 0 leied .)sffavl,f35nhsame altitude above Earth’s surface. The mass of satellit, s f0pnd3ifel.)vf5a.zl h0ee 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#

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15.22 Satellite 1 makes a circular oos,al 7yr;t,t7s /g0zp1xb+eyiu z,krbit 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#

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98.33: In the following problem,-jq.3 t3ph (lccjw,o y the word “weight” refers to the force a scale registers. If the Earth were to stop rotating, but notjo33cypjq h(, c- l.wt 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 thelt m 6zrseedl1h-) 5g9 sun. As the comet moves from aphelion (the point on the orbit farthest from the sun) totz9se me r6h -5)l1ldg 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 shovrhz*uaqg *7+ :10v3qu zqn zzwn, the two stars follow circular orbits about the system’s center of mass. The stars a0zv:znrag+q7 1uh v*3q*zuq zre 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 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 vzrtb3 8y u+e7xand orbital radius R around a heavy 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 zx +yrt7ub83e semi-major axis a of this new elliptical orbit is

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