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 x :fgnzzxlka-n)4 k8( “sweeping out equal areas in equal time” can be derived most directly from w):l(kg-fx4 zkn8azxn hich 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 follow elliptical or;1hgjqe,-ws; fb,;ts8oethd bits with the Sun located at one focus of the ellipse.” This statement is best summarize 1,h;sw e8,;t ght-jdsobqf ;ed 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 attra+b1cxvv2 behd gyng6rw)5v9,ction between two small objects if the mass of each object is doubled and the distance between their centers ib hr ,n)2 exgw9y5+vv1bgcv 6ds 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 of 4.u t,t ndtgqcsx,dk) rd,) ;-(o0 N. What will be the force if the distance betwes dn,x,dc-));(grd o , kuqttten 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 2)(scnxbg k(r4m:(hio ( syya andY, have the same uniform density. Planet X hag(2yi( a(kr)xconbhy m4 ss:(s 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 planets, X anz;:a f 8 aavcza.f jp)hz9-ecf-;eba.d Y, have the same uniform density. .fbc8ca.eafzj;9;e)va -a h:zz ap - fPlanet 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 calculated if 91gisost6ntmckf71e ral2; : it is orbited by a small satellite by setting the gravitational force on the satellite equ9:tres1tgco;67m is2k fl1 anal 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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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 Glenam)6 )do.m ochn with a gravitational force F at the surface of the Earth. When hemoa)6d. mc) ho 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-Eafiwc4(v p3q o798u/jcic1got rth system (ignore any influence of the Sun), which one of the following best expresses the magnitude of the Moon’s acceleratiocv4uif1i8to/cgj 7c o(q pw39n 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 internatioyr kida8k)/*t nal space station, whak t/k i*d8ry)ich of the following 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 Moon experie r9c b75tsph+ zgx;xx0nces the same gravitational force as a second object at the surface of the Earth. W7x95t 0hxgczrx; sp b+hich 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, a4: y vl9ly 2e+q-v()qpylnmkg t the surface of the moon. If we assume the moon has a neaqlvnq)ykll2m (y+9e vp: 4yg-rly 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 twic4i l6wttz78;-5+hnwzfybuqg e the radius of Earth. The magnitude of the gravitational acceleration at the surface of this plagb6fuqw-n 8ihw4z5t+ y7l z;tnet 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 radius0qnpprej . tr. s()t 2n;.ktx(0mjeai one-half that of Earth and a mass one-fifth the Earth’s mass. The gravitational acceleration at the surface of the plan0ts q;ek(p . rem0trj)npi..2at jx(net 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 i81ci;k:8ynhr h d 6ettpzj-( cn 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 exerte:1-e(rj6h dn ipyt cz hkc88;td 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 nz6kxbc j wnntj,d/m2r ate55cc6 ;-) a star with mass one-half the mass of our sun. The planet’s orbital radius is the same as the Earth’s. Approximately how many Earth years does it take for the 6dtw rjncek5 2a 5 cbn6t)/njx m,cz-;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 sybdci6z .q8t-atellites, 1 and 2, are put into circular orbit at the same altiizyq.6tdb -c 8tude 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 makes a circularm m8o8b;7nqrahs 27zf 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 forcni; /em8vm1t/xo)gprku *b r69bl7 tve a scale registers. If the Earth were to stop rotating, but not changeoi /6kr nutg* e1l9mvx) 8;r mpvtbb7/ 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 sun. As the comet movj).f b(s8h fayes from aphelion (the point on the orbit farthest from the sun) to perihelion (the point on the orbit closest to the sun), which of the following )s8hyf(b.f jaresults 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 s ;xcx;wd; k tiwvj(,wp/1nhl* tars follow circular orbits about the system’s center of mass. The stars are s,x(xivkwh l cp dw;*n1t/j;;weparated 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+tj er i*-3d/qm-x ral circular orbit with speed vand 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-ia*l- r+ mre3/d tjqx-major axis a of this new elliptical orbit is

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