08.19: Kepler’s Second Law about “sweeping out equal areas in equal time” cxo3/f69q5s ep 1tlmn ean be derived most directly 1/qfe xtp3en95o sl6mfrom which conservation law?

  16.17:“All planets in thesn-zpp a9mebhfcn*1b,q; +wo 4 yk27m solar system follow elliptical orbits with the Sun located at onez*-9nebskb 7fn+;cqap h op1 , 2m4ymw focus of the ellipse.” This statement is best summarized by which one of the following choices?

  99.21: What happens to the f+ ybd1p +rc+t2 zsxp/gorce of gravitational attraction between two small objects if the mass of each object is doubled and the distance betwy d/+zp+x+s2bgp 1crteen their centers is doubled?

  95.09 Two spherical bodies attract each other wi9owf;cy)yl3 m 2 ky*qvth a gravitational force of 4.0 N. What will be tflmw9yk yqo;c3yv 2) *he force if the distance between them is doubled?

  14.27: Two spherical, non-rotating planetyx:yi:p(7 yqks, X andY, have the same uniform density. Planet X has twice the radius o x:ikq :yp(y7yf 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 $g_x:g_y$?

  16.46 Two spherical, nonbpz3wrb3l3fo k31bh6b2l r 1f-rotating planets, X and Y, have the same uniform density. Planet X hafl6f2b b 3lzwr31kr3ob1h b3p s 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 $v_x:v_y$?

  01.16: The mass of a planetyqno xjn8m 8da .:k1,a can be calculated if it is orbited by a small satellitexm8 q j:.oank8ad1,ny 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 this calculation?

  99.11: Assume that the Earth attracts John Glenn with a gravitational force F /.q p1vdmh fv,ix0owmo7j 1fi(j73 mrat 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 closestd7i mvmxqf.r/1 mo1o3f7(p jhivj,w 0 to which of the following?

  14.30: Considering only the Moon-Earth sysew2nao(8.q0 s owh/n wtem (ignore any influence of the Sun), which one of the following best expresses the magnitude2w/0eo(w w8aho q nns. of the Moon’s acceleration about the Earth?

  02.19: As a rocket blasts away from the earth with a 50,rs c 2aqcrt:lh)ty:5kg oi cargo for the international spacet:lc :5q0g irk2c5a, ryoh)st station, which of the following graphs would best represent the gravitational force on the cargo versus distance from the surface of the Earth?

  99.33: One object at the surface of the Moon experiences th,qohm3/i n 4rre same gravitational force as a sq3ohnm4 i/rr, econd object at the surface of the Earth. Which of the following would be a reasonable conclusion?

  00.24 Consider an object that has a mass, m, and a weiv**4q3512fwxtwqspc t3 + vw0 j joeajght, W, at the surface of the moon. If we assume the moon has a nearo21tjvx4+v*j3ef *ww qc 5qsp jw0a3tly 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?

  96.23: A hypothetical planet has seven times the mas h x*8qswe; ok7k,fa7 8gy*wlys of Earth and twice the radius of Earth. The magnitude of the gravitational acceleration at the surface of this planet is most neake8y7 sxa*ogy7 f8hk;lw* wq, rly:

  98.24: A planet has a rad+6 lgu : q5z tb;,vbcy42ooperius one-half that of Earth and a mass one-fifth the Earth’s mass. The gravitational acceleration at the surface of the planet is me,;: o4 ot5v r6bl pc2+byzqugost nearly

  08.38: Akg 1200 satellite orbits Planet X in a circular orbit with a const8qfn kelb 1w i310(bqmant speed of 5,000m/s. The radius of orbit is 7,500,000 m. What is the magnitude of the gravitational force exerted0 1bqf1b l wniqk3e8(m on the satellite by Planet X?

  94.34: A hypothetical planet orbits a star with mass one-half the mass of o i* -,9.mayvmj)-rhax k *toax 4ibd4qdmf9 .our 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 comple)r f4q*4dv. a -ki*x,xb. ajdm9-9m m tahiooyte one orbit?

  97.12: Two artificial satellites, 1 and 2, are put into circular orbit at th4hb 3v vi7ub yzi+l4z:e same altitude 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 v+:bu iv347 bhlyzi4z2?

  15.22 Satellite 1 makes aphsial9g6p5.qynn nn s1, 6y 5 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?

  98.33: In the following problem, the word “weight” refers to the r; lmevu(-1 -t uxlef9force a scale registers. If the Earth were to stop rotating, buel;1 uv-emxr tfu-9l( t not change shape,

  10.42: A comet moves in an elliptical orbi y ..i*pzh2zqmote2gz -)vs2g jt7od,t 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 following results hsze.,jm ot .2ggz o-d)py72 *ztqi2vis true?

  17.48: In the binary star system shown, themgabj )) )c( rg:-a*zr,ppowx 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 gravitational attraction. Thewx- p r)czr(bpo*a)j,g m)ga: 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?

  06.50: A rocket is in a circueee8u- 3hj :vglar 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:jee vu8- 3ehg R, the size of the semi-major axis a of this new elliptical orbit is