Gravity and Planetary Motion - 题库网 (tiku.one)

1#

08.19: Kepler’s Second Law about “sweeping out equ4dqyjz3*je:i 1:4dtaedju1 s al areas in equal time” can be derived moe1i ed4djjq a jz 1:y*4s:utd3st 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 system follow elliptical orbits 6fac8rgbbf 1r71s1e fwith the Sun located at one focus of the ellipse.” This statement is bestegs c6af1rbff7r81 1b 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 attraction between two small rfs6 lxig.q 2.oqilg2r.s6f x.bjects if the mass of 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 bodies attract each other with a gr))-efp o30msa. s60j fax fxx smnoi 62*tl,qhavitational force of 4.0 N. What will be the forc6,mff xxoj0l0)t*qm fx62se.-)nahip3as ose 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 uniform-yvtf +;otyr+ density. Planet X has twice the radius -fo ;y++tvtyr 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-rotatiqe*fij-n4 h oww/zh :5ng planets, X and Y, have the same uniform density. Planet X has twice the radius of Planet Y. Let hewjw:zf 5 n -oqi4h/* $v_x$ 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 is orbitej;e4oo k9ccj+ z1la4yd 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;yc14oejl+ zkcjo 94a 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 gravitational fo seyuu w/+xzg 3xex883rce F at the surface of the Earth. When he made hixx u /3sgwu3y8e x+8zes 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-Earth system (ignore any influence of the S:m.s-xu u esg.gv0lg: un), which one of the following best expresses the magnitud.:gu x lug.0 gse:svm-e 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 03l ).q7oogd vbkxcsc l1i87/vq c.ey away from the earth with a cargo for the international space station, which of the following graphs would best rep.q80 ck1ylxod7.i7b csg/o)lvec v 3qresent 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 er) iwa *p5)fuoxperiences the same gravitational force as a second object at the surface of the Earth. Which of the following would be a)wp i)uaof *r5 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,w x+o6ihh1 o0+rgj +ycss8v6s m, and a weight, W, at the surface of the moon. If we assume the moon has a nearly uniform density, which of the following would be closest to the object’s mass and weight at a distance halfway between ow+ohcv+hys68jr6g i1sx + 0s 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 ti8 yr5+cbxy h m38d ;ku2rx-kytmes the mass of Earth and twice the radius of Earth. The magnitude of the gravitational accelera-xdcyby53mktk r+;8x h28u yrtion 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-filxggg6iv 6p8a. 6x.wp2wyy 5 dfth the Earth’s mass. The gravitational acceleration at ixg dg..gpy 6lxw8a 265y 6vpwthe 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 orbit z*in smox/ppj1 /h19h;ue s+js Planet X in 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 exer/h xsh nj+m pez1* up9jios1/;ted 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 staroeuw7r k0 bi c.cbk q :on-ux603us0)y with mass one-half the mass of our sun. The planet’s orbital radius is the same as the Earth’s. Approxkcu)0 nu qe0:-oxskiwu673.y0cbr bo imately 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 into circular orbit at t e3bti5h pa*g(cc:uh g:1h6mthe same altitude above Earth’s surf5 3 gupch:: ith*( 16bceagthmace. 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 circular orbit around the Earth with a lis9)4p gsb -vd0 h9giradius $r_1= R$. 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 force a v(sa9(4.j jiuaemc+i x,g s)q scale registers. If the Earth were to stop rotating, but not cha4jgca.i )+ (mqesi9va (usjx ,nge 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 orbw (j dlx/tn6w kehd-t-0;( iofit around the sun. As the comet moves 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 follow et0 t(jx;6n-d (fi l-w/wdhoking 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 s -:*nvyu cfb)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 o*y:u vfsb )nc-nly 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 circular orbit with speed vand orbital radius R aro;cr/+qb f3z/+(iex*nykqe)c 7fql h bund 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;3*) kqfnf( +z/l biyr+xc 7qbe/ceqh this new elliptical orbit is

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