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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

08.19: Kepler’s Second Law about “sweeping out equal areas in ,uu :az4n ;7rwyd-aui equal time” can be derived most,iayua4d;r u- : uzwn7 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 sysd 5-gik6 k0k nqyy; and:f,,ictem follow elliptical orbits with the Sun located at one focus of the ellipse.” This statement is best summariz :gcik ; 56yqnkd0yd,i-,akfned 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 to jz plw))68 ihwthe force of gravitational attraction between two small objects if the mass of each object p)68 iwzhj )lwis doubled and 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 gravitational46e(m2ubly5 l9 mqasf force of 4.0 N. What will be the force if the distance between them is dq5e24bfyl9 (l 6a mumsoubled?

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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 plan,8 w* yivq.;(hpog zoqets, X andY, have the same uniform density. Planet X has twice the radius o *oho8zi,y; (qgqvwp .f 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, nonih8d (ettj 6 +l(dk5cq-rotating planets, X and Y, have the same uniform density. kiljtce 6 d8h5(q(d+ tPlanet 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 c52jens2tky4 3h scyc9ys36 gdalculated if it is orbited by a small satellite by setting the gravitational force on the satellite equal to the centripetal force on the satellite. Which of the following would NOT be required in this cayh43d jgs2ek y 6c3ss5t ny2c9lculation?

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:kzb fno)u k y82(bhe1 gravitational force F at the surface of the Earth. When he made his famous second flight in orbit, the gravitational force on Joh8 kb z:ykh)fn(u2eb1 on 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 sy a1at u,u*iob6stem (ignore any influence of the Sun), which one of the following best expresses the magnitude a,6atu1b oui *of the Moon’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 blast rdz c++tl :h+tuo7)tmcj+ea9 s away from the earth with a cargo for the international space station, which of the followingdluc7h et+r cz+9atoj+)t: m+ graphs would 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 7 yw4l z w;m0)m3rmubgMoon experiences the same gravitational force as a second wwrmbm0 )gmy7 34zul;object 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, and a weight, W, at the sug3+ary02 ob/y9fdmx;k ) sydn rface of the moon. If we assume the moon has a nearly uniform density, which of the followingrf b9an;kxs 2d0dy 3moy )/+gy 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 h6h1jav 3k mwlbdx8k97as seven times the mass of Earth and twice the radius of Earth. The magnitude of the kj97av36x l1wkm h8bdgravitational acceleration at the surface of 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 Earth and a mass one-fifr a9 av jaamd,tc7naytc.3) -bvu**,cth the Earth’s mass. The gravitational acceleration at the surface of the plan7,b 9)arvtuy- 3tccc.**mn aad aaj,vet 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 o);lvtd9fcf *a rbits Planet X in a circular orbit with a constant speed of 5,000m/s. The radius ;lcvatff*d 9) 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 orbi 8w-x k8uiyh/7htxe) sts a star with mass one-half the mass of our sun. The planet’s orbital radius is the same as the Eahihxuk y7xe) 8/tw-8s rth’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 r lfr,85oj7z/ qx2yp )vsthf/, are put into 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 f/hzqr5px/tof , 8ls2j7)yv r1 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 tho /vuyjt- a* so:;iop9e 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 forcew xp,m3wpfq8w(z f2 f3yrtn4. a scale registers. If the Earth were to stop rotating, but not change shw(rptfzm y wfwnp8.q 4 3f3x2,ape,

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.1wlna0ka7z1 f t c,+fkr 8qe5p As the comet moves from aphelion (the point on the orbit farthest from the sun) to perihelion (the ptl5 c0p qk1w17znf+aae,f r8koint 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 shown, the two 74 lztj() x*e0ru/eygnhntvlf w/ 51istars 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 total5/0xi7e4g hrv /tnf(nyu tzl)j 1lew* 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 vanq;b ym8 *.9zbga /pbeod 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-major axis a of this new ellme * 8.apbo;y /qz9bbgiptical orbit is

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总分:22分及格:13.2分时间:不限时

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