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 “swemrd8l8 ;; fjetui2 sm 99ttq2ueping out equal areas in equal time” can be derived most directly from which cons9;m8slteurt9f mitd8uq2; 2j ervation 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 syste st)2e 2di8b*h)xpdth m follow elliptical orbits with the Sun located at one focus of the ellipse.” This statement is best summarized by which one of the fo2xtip*be)hd 8t h)2dsllowing 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 attraction between two s en55en942;rxu wc cnimall objects if the mass rc u;n5cein 2n xew594of each object is 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 boy n;tajtucrtx+r, -:x; s --mzdies attract each other with a gravitational force of 4.0 N,- xrt tt --uy:jxc mzanr+;s;. What will be the force if 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, have the same un8q q7 /zk/t6x2*ok l9soxftioiform density. Planet X9o286oxiqlzo/ 7q/tfks xtk * 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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6#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

16.46 Two spherical, non-rota)3hqi jjam4 :ating planets, X and Y, have the same uniform density. Planet Xim jaah 34):jq 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 calculatuaotf 07/i7myed 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 ca7iy o0/t7 faumlculation?

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 rhjxv: wn6q -(attracts John Glenn with a gravitational force F at the surface of the Earth. When he mhwn r qj6vx(-:ade 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-Ea-5rpsldb l)xpm1 z)q7.c br/lt97i je rth system (ignore any influence of the Sun), which one of thb9rx.)l/j77ztrmbq)l l1sc -5p pe die following best expresses 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 the intvozr,xn .:i0 bernational space station, which of the following graphs would best represent the gravitational force on the cargo versus distance from 0 i,x.rnz :vbothe 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 experiencne(4 amq f.db)es the same gravitational force as a second object at the surface of the Earth. Which of the following would be a reasonf. b4medq ()anable 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.a2+ 8v* ku*cx zeynfg that has a mass, m, and a weight, W, at the surface of the moon. If we assume the moon has a nearly uniform density, whiv+2a* cfyez8*u kx gn.ch 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 Ee3;p) e+u vbnkarth and twice the radius of Earth. The magnitude of the gravitational acceleration at teeb v; n3kup)+he 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 rad8on y ):j0 ;nlwlbuc(uius one-half that of Earth and a mass one-fifth the Earth’s mass. The gravitational acceleratio:8y0o) j nbnuuw;c( lln 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 circular orbit wi 9yev2 dxntrja a5p65*th a constant speed of 5,000m/s. The radius of orbit is 7,500,000 m. What is the magnitude of the gravi95 rtax5avnyj dpe6 *2tational 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 mass oneqa2;b(qu 3 ibh-half the mass of our sun. The ihua b2bqq(;3 planet’s orbital radius is 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 s l1ky3*-g*j 3yyezbk2ig,sw into circular orbit at the same altitude above Earth’s surface. The mass of satellite 2 is twiey3kw31z*isgs2*kb g- yyl j,ce 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 circular orbit around the Earth wdj0wa n yf86d0ith 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,80o*kb -arvu8bz hw( 7 big:tjbv/cl / the word “weight” refers to the force a scale registers. If the Earth were toor-:kbvubvj ga ibwh0(/c*l87/8 b zt stop rotating, but not 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 4-c:(xylvhs grag1 2f elliptical orbit around the sun. As the comet moves from aphelion (the point on the orbit farthest from the sun) to perihelion (the point on the orbishvcg - (21lr4g:xfya t 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 st m-i6 o7xmg18sjd0g gyar system 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 subject only to their mutual gravitational s78m goj g g160yxi-dmattraction. 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 R are.p):)(x *urvp mlir lound a heavy stationary mass. An external impulse is quickly applied to the rocket directly opposite to tlx*e(i:r)m r.)v p ulphe 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 elliptical orbit is

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