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 agtpd;70s,*f psl3qqubout “sweeping out equal areas in equal time” can be derived most directly from whic3*g0f;up,pd qls7 q sth 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 gq5t4c2ru32*tmy wa1dxcoc pm 2(:kvfollow elliptical orbits with the Sun located at one focus of the ellipse.” This statement i4v2*cy:a5u2wmcxt ( g 12pcqmodkr t3s 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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3#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

99.21: What happens tobnn x7cz 6/e:p0-gx/svl-fmy the force of gravitational attraction between two small objects if the mass of each object is doubled anvys fl cxnx eg/b/ -6-zm7pn0:d the distance between their centers is doubled?

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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 gravitational force ofhsht//dr6gl30 srfgi3c0q . f 4.0 N. What will be the force if the distance between them is doublef3g3l h0ctrsh06fisg qrd .//d?

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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 the same uniform densi6t5 (;1qgn cn+sfv )y8ivkjzuty. Planet X itn vsvu5 )jc1(6k;qgn+8f yzhas 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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6#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

16.46 Two spherical, non-rotating pla k.7l,3 m:aylkf0tzv enets, X and Y, have the same uniform density. y .va3,e7lf: lktkz0 mPlanet X 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 calculate h9hl3-by2 98pk 8qwqg9kayg o9mrmb(d if it is orbited by a small satellite by setting the gravitational force on the satellite equal to the centripetal fhk9(hkm a 2qgo3y l9b8pm9gwy8b r9q- orce 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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8#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

99.11: Assume that tt *r3qyv lp,-i,p d5 7zloixa xc6v1p)he Earth attracts John Glenn with a gravitational force F at the surface of the Earth. When h,vq - zrppl l*)i1735d,xta yix6cvpoe 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 j pfen81wxy-, any influence of the Sun), which one of the following best expresses the magnitude of the Moon’s acceleration aype, wxjf 8n1-bout 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 earth with a cargo for the internat5p* k)warkiaezh(7r x0+pk )zional space station, which of the following graphs would best represent the gravitational h) pz* 5r izxak)r70kke+(pw aforce 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 Moovdrn*q2 oe3 i-n experiences the same gravitational force as a second object at the surface of the Earth. Which of the following3nd r-*2eoi qv 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 u;u 8 zn.j(3qzedfh,fa mass, m, and a weight, W, at the surface 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 halfwaye;hn.f qdz,ju8 (fu 3z 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 seven6goaky g /tiaqs e30*) times the mass of Earth and twice the radius of Earth. The magnitude of the gravitational acceleration at the surface of this planet iss t3yqa*6 i)k o/gega0 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 radi.uhbs azfwgz .* 933( q4gmq+cuzu1sp us one-half that of Earth and a mass one-fifth the Earth’s mass. The gravitational acc gu .bazs 1.s3wq9cf3u 4 mhgzqp+u(*zeleration 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 cig)mgrqt0-qz 0 rcular orbit with a constant speed of 5,000m/s. Tqq g -g)0tm0rzhe radius 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 m8 yk2spa;mz7e,38ekew* vyy bass one-half the mass of our sun. The planet’s orbital radius i;38,zy va k eeye m8pbsykw*72s the same as the Earth’s. Approximately how many Earth 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 circular orbit ,csh lbd 1-(xyat the same al h c-x1s(lybd,titude 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 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 makeswc:ri+6yy y r/,j 7xcoqo*7yd a circular orbit 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#

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” refers to the ffbx41b0z tf/nzkp w0d50c/am orce a scale registers. If the Earth were to stop rotating, but not ch000bp zcfw kb/dt4 a nmzfx51/ange 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 the ipw4qs/ c ap;jy2a j*-sun. As the comet moves from aphelion (the point on the orbit farthest from the sun) to perihel ; ja4c-ppjw*yqs/i 2aion (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 systemm6m8pp sm- b -b(7ntwnuv8m luj22jx1 shown, 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 mb6 un pmm1pt8nu xvjl(b2-ws2 -jm87subject 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 vandlo0 f*0jwrdei1/ux j0 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 semi-ma*jw0r01x fdoli/ euj0jor axis a of this new elliptical orbit is

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