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

1#

08.19: Kepler’s Second Law about “sweeping out equal areas in equal cs eo,jn: *atcp *: il17u9qgutime” can be derived osj*ngtcu9up7q,i*l c a1 :e:most 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 o; vledgig7:)zrbits with the Sun located at one focus of the ellipse.” This statement is bestlgd7i: gz ;)ev 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 fom91pf fvs 92yyrce of gravitational attraction between two small objects if the mass of each object is doubled and the disvf1sy29y m p9ftance 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 gravitationa9z*4/rklyx ( s*gcq jgl force of 4.0 Nl* xcqk9sz4y*/ r j(gg. 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 theza4s+ ,s4xm 7zv) alkr.bl 5wg same uniform density. Planet X has twice the radius of v, a)s4z 7+r.4 blxa gszkwml5Planet 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 and Y, have the soykj :f.w* (yj /top+rame uniform density. Planet X has twice the radius of Planet Y.: k+.j*( /ooyfty wpjr 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 it is orbittebayc:iau o/.84 e jgnfps )43/pp/ced by a small satellite by setting the gravitational force on the satellite equal to the centripetal force on the satellite. Which of the folloa/c/4pfyag.bu8cj / ppe i s:3no)4t ewing 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 attractstxn3kcvl 2xw0 vg1hr 3 v3fpa /+bi6*n John Glenn with a gravitational force F at the surface of the Earth. When he made his famous second flight in orbit, the gravitational force on John Glenn while he was in orbit was closest to which of thenxvpx331i0al2v3 6nkfb* /h vrtgcw+ 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-Ean28kihi y q+ hm0:qffa4pw x:;rth system (ignore any influence of the Sun), which one of fn4 qam :qkf2:hh0yi8ix ;w+pthe 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 inter v61/z;iz2c7 qa zt7nroy gp8-vd*ns cnational space station, which of t6o/8 qtn7a7v -idgrsz *pc v z2y1n;czhe 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 experiycr;fr uao9: c;/+r-ibbri +bences the same gravitational force as a second object at the surface of the Earth. Which of the following would be a reasonable+9cuf-r/o ;; irbba +bry :ric 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 surfa55hro i rixin9 fudf9x95+/ uice of the mou+rdx5r5i 9i fnofh9u9i5/x ion. 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 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 timeb-(o; pw,pmqmb cv o e /76b71xq/(ablpacj/es the mass of Earth and twice the radius of Earth. The magnitude of the gravitational a;qa/6bem a(cx 7bp-v/w/olob pm7 (ej,q1cpb cceleration 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 massqg i:a*mb 7g*tja9kew3 (2 nce one-fifth the Earth’s mass. The gravitational a*i9e g at q 7:cg(b*enma2j3wkcceleration 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 orb m+,n:qg7 wylyit 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 exerted on the satellite by nm wy,y7+:ql gPlanet 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 *nl 137wrlg)*h *wh8cczbqa. 7n jnjostar 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 planetalrw*o.j8*3 nn7)nc7qw cbghh z *1lj 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, ayrgur f17k22 1 and 2, are put into circular orbit at the same altitude above Earth’s surface. The mass of satellite 2 is twice the mass of satellit1ruf gka y7r22e 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 od-nohxl1r5pym7i: 44lrjk 2 circular 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 i vz*2y-ofz5h problem, the word “weight” refers to the force a scale registers. If the Earth were-52 yzihvzfo * to 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 elliptical orbit around the sun.*tx zcdz7uu; * As the comet moves from aphelion (the point on the orbit farthest from the sun) to perihelion (the point on the orbxu*zc z7ud t*;it 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, (em uw7jj(av6 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 gravitat(veu(6aj wm7j ional 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 around a.y e.j1.tyzfmy1s sf; heavy stationary mass. An external impulejfy.f ;.yzm11ss .yt se 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 this new elliptical orbit is

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