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

1#

08.19: Kepler’s Second Law about “sweeping out equal areas in equl *tk7 u3ec8iwal time” can be derived most directly fro *k8tec7ul3iwm 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 sn a2j8be s*;qyolar system follow elliptical orbits with the Sun located at one focus ofay;j82s qn*eb the ellipse.” This statement is best 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 gravitatiotnwo;2 xs/cx(*f9w0u te g2zanal attraction between two small objects if the mass of each object is doubled and the distance between their centers is doublet20znuowxa9sg2t ( f/;c we*xd?

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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 w ) 4cj/d0bojdjfc2k8qith a gravitational force of 4.0 N. What will be the force if the distance between them is dbfqkcj o 4c8j d2j0/)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 sametwkkr 2d,a- n6 uniform density. Planet X has twice the radius of Planet kd,w a2nk r-t6Y. 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, no4d si3j;dh25lqfr m)p** sqzt n-rotating planets, X and Y, have the same uniform density. Planeq*;*slif4jzd)rm 3 s2pt dq h5t 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 it is u0w8osh4)((nt l/+uuee iiinj4 t.egorbited by a small satellite by setting the gravitational force on the uj+tee /0 ).nouwth8 4ii4g nl(u(seisatellite 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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8#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

99.11: Assume that the Earth attr/(v o,qahe t (zurwi96br4wl+acts 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 w (eu w 6b(9o, qlzr+iar4vth/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 Sp2a+y7iymf8-av:l l0z kwc b4 un), which one of the following best expresses the magnitude of tky -apclyafzl8i:w2v 0 m7b+4he 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 ifczyed*,pd9( qii 0nb(6 f4k mnternational space station, which of the following graphs would6qizc k pe90mybd ff4(d(,n i* 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 experiences the sam v) u :mmdzw-(n1gzy;be gravitational force as a second object at the surface of the Earth. Which of the following would be a reasonable czd1 uzmm-gy(n;bw ) :vonclusion?

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 wemag+ 0 5ubm7k-9,z0s t/7nuztnmx llb ight, W, at the surface of the moon. If we assume the moon has a nearly uniform density, which of the followingt0b,u 5 tm-xul70sg9zn/7mkb z a +lmn 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 plb.83mxa (vzr kanet has seven times the mass of Earth and twice the rad3b8xk (. zvmarius of Earth. The magnitude of the gravitational acceleration 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-fifth th0u g1ss a)1gvf fojy(c)u6sm3o- ywn)e Earth’s mass. The gravitational acceleration ats1y)0ovs 6suufwcgy 1 m3-j(o g) afn) 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 orbitpn 1iv: op/jc(x x:x7t tkia88s 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 exerted on th /oc :78n1xtpjiva x p(x:i8tke 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 one-half the mass of oy 9dhsi+ t b47lf4d0phur sun. The planet’s orbital radius is the same as the Earth’s. Approximately how many Earth years does it take for the planet to comp b44fhddl pst7hy9+i0lete 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 circula(5obxknz crq p1iwl 3 z)x)(6dr orbit at the same altitude above Earth’s surface. The mass of satellite 2 is twice the mass of satel)wi61lc5 dx((b)zpnkrozx q 3lite 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 .v m1 br6vb,t8 rr 6v/cuc-ajdxeu w15Earth 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 force/8vxkzzwngo9*mg ,:tnwhr)/ ga; s5o a scale registers. If the Earth were to stop rot/ nwznm*x:sr9g,8h )zwokgto vag5/; ating, 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 sx,hl6b ve: ggg j.e4u;un. As the comet moves from aphelion (the point on the orbit farthest from the sun) to perihevgxgb46,le.ejuh; :g lion (the point on the orbit 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, the two star4*/xl wwwq7 avia yqv/ 2/gw7ms 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 attraction. The orbital period of the star of mass M is T. Which one of the following choices represents the total mass of the binarywgaiy2am/v w/w77q v*w/ x 4lq 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 op v4gr7(cj g/pgjx- 3gf 7qcr-rbit 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-major ag-j xfr-p pgq/gc37g7jv4( cr xis a of this new elliptical orbit is

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