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

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08.19: Kepler’s Second Law ao+m p2 lotuwf,2. nb(pbp (2fxbout “sweeping out equal areas in equal time” can be derived most directly from xofp(p lo(2ub+, m2nwfp2. tbwhich conservation law?

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16.17:“All planets in the solar system follow elliptical orbits q4h8 (.qy evudwith the Sun located at one focus of the ellipse.” This statement is best summarized by which d e. qh48uy(qvone 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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99.21: What happens to the force of gravi e cj717x)g e ikob+qtx0:ncv*tational attraction between two small objects if the mass of each object is doubled and the distance between theirgj b)7eqnicoc1:kv +*07extx centers is doubled?

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95.09 Two spherical bodies attract each other with a ,,vn-p: iip tdgravitational force of 4.0 N. What will be the force if the distance between th ,,n-t divpi:pem is doubled?

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14.27: Two spherical, non-rotatinnltrw* 0e:(m mg planets, X andY, have the same uniform density. Planet X hrmnem*w:0l t (as 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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16.46 Two spherical, non-rotating p mwg82a*d()j8o 9g1jfheb n omlanets, X and Y, have the same uniform density. Planet X has twice the radiusno)dbgjf(12hjew*g o 8a 9m8 m 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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01.16: The mass of a planet can be) cyrg8d.c.)ll.-ifwxw p h-c calculated if it is orbited by a small satellite by settin)hd.pi-wc)w.- 8y c c. glxfrlg the gravitational force on the satellite equal 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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99.11: Assume that the Earth attracts John Glenn wit0qd bbfl8a1 x:o yd6 lpy9(ny9h a gravitational force F at the surface of the Earth. When he made his famous second flight x9q0ado9 d1bflb 8(yy6 pyln:in orbit, the gravitational force on John Glenn while he was in orbit was closest to which of the following?

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14.30: Considering only thwmyh-c 6cows /s 1p*v;t3/l sje Moon-Earth system (ignore any influence of the Sun), which one of the following best expresses ths3pmvhjw/coct-l6 s sy/w*;1 e magnitude of the Moon’s acceleration about the Earth?

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10#

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02.19: As a rocket blasts away from t .,dmztosi* nh*co(v /he earth with a cargo for the international space station, which of the following graphs would best represent the gravitational force on the cargo versu/vo nzto cims* *d,.(hs distance from the surface of the Earth?

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11#

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99.33: One object at the surface of the Moon as(6zl9jjatm cg;(0f experiences the same gravitational force as a second object at thjszg m9fla ;0(a t6jc(e 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 su,e)2 x ji-ehsb.1dtk 4qgo9svrface of the moon. If we assume the moon has a2 ,tijgeh)d4vss-bexqk1. o9 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#

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96.23: A hypothetical planet has seven times the mass of Earth and twic ocma2ps ,20t8sc 5ye iybl8g8e the radius of Earth. The magnitude of the gravitational acceleration at the surface of this planet is most5mi8cye ls 2 8aopg,2ybc08 st nearly:

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14#

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98.24: A planet has a radius one-half that of Earth and a mass one-fifth (k irz)u9mn2wthe Earth’s mass. The gravitational acceleration at 2wrik9 nu z()mthe surface of the planet is most nearly

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15#

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08.38: Akg 1200 satellite orbits Planet X in a circular orbit with a constan+zpv y0lnv+k,:9 ve9b f-m6/drxk pyst speed of 5,000m/s. The radius of orbit is 7,500,000 m. What is the magnitude of the gravitational force exerted on tkypp9k ylfrd6 -vx9++0sb/ vnm: , zevhe satellite by Planet X?

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16#

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94.34: A hypothetical planet on-(md/0u7wst) vof 7cw6 jtvsrbits a star with mass one-half the mass of our su wut 07)w 6mjnd-stov/vc 7(sfn. The 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#

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97.12: Two artificial satellites, 1 and 2, are + tfu40ipo8u5ray9)vliyb v 2 put into circular orbit at the same altitude above Ear0fiba8vyu4ripylv5 )t+o92u th’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#

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15.22 Satellite 1 makes a circular orbit around the Earth with. mba-u 47; h wyj6ahzqinw(d4 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#

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98.33: In the following problem, the word “weiwsz55f+. e-jmt9rjs)l cuko 2 ght” refers to the force a scale registers. If the Earth were to stop rotating, but not chaz tskjc.mo 29- u+rsw)efj5l5nge 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#

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10.42: A comet moves in an elliptical orbit aqb a.z,. jqbqkv;. b2dround the sun. As the comet moves from aphelion (the point on the orbit farthest from the sun) to perihelion (the point on the orbit cv;2 aq qbzbd. .jb,.kqlosest to the sun), which of the following results is true?

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21#

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17.48: In the binary star system shown, the two stars follow ci3hbd t .m-s)vsb*io5ercular 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 tota v )bio*ss.tmb-3e5 hdl 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#

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06.50: A rocket is in a circular orbit with speed vand or -hpl;0 s8x9jt f6bnlsbital radius R around a heavy stationary mass. An external impulse is quicf hs; 69-bn0 xpj8stllkly 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 elliptical orbit is

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