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 “q . qicbni2l9-r r.pbd 6z38thsweeping out equal areas in equal time” can be derived most directly from which conid9pqn z2qc8i.-.r l3 tr hbb6servation 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 elliptictvjgqo:am(svko71 1 2al orbits with the Sun located at one focus of the ellipse.” This statement is1 2vsjvg7:t1mka o(qo best summarized by which 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 the force of gravitational attraction betwpmt sj5,.0:n )m qgknween two small objects if the mass of each object is doubled anm .w0sj pqmnk: ,5tgn)d 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 fvc5t9tsgia yq)p6 x+ 9 y:fw+yorce of 4.0 N. What will be the force if the distance 6a)y5y wt:s+cxy9 qv +fgp9itbetween 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 dewe: axk(j5ze 8nsity.z8jx w5: k(eae Planet X has twice the radius 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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单选题 ( 1.0 分) 切至整卷模式搜藏此题

16.46 Two spherical, non-rotating *- d 5rxy.leok:vab7q planets, X and Y, have the same uniform density. Planet X has t 5veqkx7doy*abl.: r -wice 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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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 pe4a /z1v+faj2 sdo3of8ssrl6z**ygh( a *oz satellite by setting the gravitation8* *agoh/ofazv3sfzs1 el p+r *2j (so6z4adyal 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 Earth attracts John Glenn with a gravitational force F cppl.gale ( qw1w1(u0at the surface of the Earth. When he made his famous second flight in orbit, the gravitational force on John Glenn while he was in orbit was clolpl1(u0 gc(1w.q eawpsest 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 (ignoj7pob nq;bgfw/5o 0y-re any influence of the Sun), which one of the following best expresses the magnitude of the Moon’sbg0fo;-bjo n7q5w/py 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 7js.j3c df kl4tc;m) cv 7a.infor the international space station, which of the following graphs wouldaclkisd.73c)c;tj4fn j. 7m v 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 Moon experiences. ok/2pwvkr )g the same gravitational force as a second object at the surface of the Earth. Which of the following would be a reasonable conclusi2/kvr gop) .wkon?

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 of -u1oq2hp prc 6the 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 halfwaycuph2 o16-q pr 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 sevenxjyr3e1o/h u)d2 - xpk times the mass of Earth and twice the radius of Earth. The magnitude of the gravitational acceleration at the surface of this planet is most 3/j2d xr) oeuhx y1kp-nearly:

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14#

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98.24: A planet has a radius one-half that of Earl 2:+b*x-ohgcgnb-t wth and a mass one-fifth the Earth’s mass. The gravitationa-gg :btc*xb h+-l2 ownl acceleration at the surface of the planet is most nearly

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15#

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08.38: Akg 1200 satellite orbits Plane x 9vo),cvgoxbyg .,jfifhz+0o7v 4v -t 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 force exerb zcoix o7hvx,ggfvoj, 9f4y+ -v.)v0ted 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 the mass of our v c91nj.iff gu(5k2tynszt d3u4a 5 +dsun. The planet’s orbital radius is the same as the Earth’s. Approxgu1+ 4sn5.act k5(29ntivuff3zy ddjimately how many Earth 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 2, are put into circular i( m2 f ,3j deznz4jlw+vl4g7norbit 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 in7 4 zjwjml +2(lifg ,3zde4nvs 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 wituh0p 5z,lic9a h 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” refersd;, (vj/o g 7,t.sftpyqiz1 dc to the force a scale registers. If the Earth were to stop rotating, but not change shapg/q,dt1;,czt (p .jvfy i7dsoe,

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 comepe(:e2dd e0bur;x:za t moves from aphelion (the point on the orbit farthest from the sun) to perihelion (the point on te;up0de( :2b zd eax:rhe 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 shown, the two stars follow circular orbits 5gg8cs k:t w 2i*m*-z+vvuvhiabout the system’s center of ma:5vv c*iiv*ksw8th g m2g+u z-ss. 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 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 orbital radius Ril xg db ;w1;vzdk +0rpl8x*r6a gzp:; around a heavy stationary mass. An external impulse is quickly applied to the rocket directly opposite to the velocity and the rocket’s speed 1 wlzrpldp;0gxi8 a; bvd:*6gzkr ;+xis 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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