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 ad 9dkjp o .y3vyi:hs,+bout “sweeping out equal areas in equal time” can be derived most directly from which conservah diy39 yo:p+d v.skj,tion 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 folpem .w8e59zoj cn rfp88 bz:t0rr5 u1dlow elliptical orbits with the Sun located at one focus of the eocpn8bm9p5rwdz 5zu8 1jetfe r.8:r0 llipse.” This statement is 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 to the force of gravitational attractiofrsfb)3zi-a9 n between two small objects if the mass of each object is doubled and the distance fi 9arbfz-3) sbetween 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 witl2lexqm ,f n+1h a gravitational force of 4.0 N. What will be the force il21 nfxe+mq ,lf 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, hc5 gjcxf86 wm j7d9v d:*(qdoaave the same uniform density. Planet X has twice the d9jm:q 5 dcdfgvo6*(wx7jac8radius 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, nk-mng/h4gy a3zah 3 qz )5vsv6on-rotating planets, X and Y, have the same uniform density. Planet X has twice the radius of Planet Y. Letk53y3navva z4 6) mgh-/hszgq $v_x$ 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 wl/d993) w iea jm5z a0yym*vhis 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 reqh*)ze /j5w 9ai0 y3dalmmyw 9vuired 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 graviz1inbhdc rz w+/;efu7p o7v5.tational force F at the surface of the Earth. When he made his famous second flight infve7 +u;or7zw 5cdnpiz/h1. b 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 (w/td3s73l+u c g7jb aszb(t.vignore any influence of the Sun), which one of the following best expr(sts/c+77dg.w3b azbl tju 3 vesses the magnitude 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 blasts away from the earth with a cargo for theluyc-k;ma j wm e7if7/pl 3/d) international space station, which of the following grapy37fkpw u lm/m/;l ic) eaj7d-hs 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 Moon experiences the sam0ba9ji,z oic 3y b;it.e gravitational force as a second object at the surface of the Earth. Whicoiy, i btjic9azb;0.3 h 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,4 lawh y:9ils upw7f() at the surface of the moon. If we assume the moohp7u: s9w)iwll4afy( n 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 * ;5pke h-rhqfbioo(-zuk s.1the radius of Earth. The pu-h sfb( ; kh5z1oqor.*ek-imagnitude of the gravitational 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 .n:jme/ngy39 xlv a w1one-half that of Earth and a mass one-fifth the Earth’s mass. The gravitational acceleration at the surface of1 nxygvja.:/9 wnme l3 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 circular orbit with a constant sp)h3y yg3 ij ayk*j/.,caeq 0dgeed of 5,000m/s. The radius of orbit is 7,500,000 m. What is the magnitude of the gravitational force exerted on the satellite by Pld c giayy hkj,)3a3y.j/ e*0qganet 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-half the mass of our s 9xs)u:m8 bw)b.rw qtxun. The planet’s orbital radius is the same as the Earth’s. Approximately how many Earth years does it take fo)bwq)w.rbtx su8 xm:9r 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 xq59vwck vd* 3pe;7o ainto circular orbit at the same altitude abxk95p*dacqwoe 7;3vv ove 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 makes a circulaa/z6-y,c bk wc.0xz zsr 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 xnc /1 1dgu+ 8b9qeklv;ke3 ytthe force a scale registers. If the Earth were to stop rotating, but n/9c+uyqlk31dxv 1gk8 b;nt e eot 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 ellipticaewdo *k7 dk.*kl orbit around the sun. As the comet moves from aphelion (the point on the orbit farthest from the sun) to perihelion (the d7d*.k kko e*wpoint 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 )hwc r.lc)c/gu: u .entwo 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 subject only to their mutual gravitational attraction. The orbital period of the star of mass M is T. Which one of the following choices repn:wc ) cuh.rc)u.g/e lresents 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 orbi 6,ub),kl qyg7o 8idt+jkhvi: tal 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, thjoku)7y, k+d6 i l,ig:8 qbhtve size of the semi-major axis a of this new elliptical orbit is

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总分:22分及格:13.2分时间:不限时

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