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Chapter 13: Gravitation

Fundamentals Of Physics
Pages: 354 - 385

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112 Questions for Chapter 13: Gravitation

  1. A spaceship is on a straight-line path between Earth and the Moon. At whatdistance from Earth is the net gravitational force on the spaceship zero?

    Found on Page 385
  2. A thin rod with massM=5.00kg M=is bent in a semicircle of radiusR=0.650m. (Fig. 13-56). (a) What is its gravitational force (both magnitude and direction on a particle with massm=3.0×10-3kgat P, the center of curvature? (b) What would be the force on the particle the rod were a complete circle?

    Found on Page 385
  3. Two dimensions.In the figure, three point particles are fixed in place in anx-yplane. ParticleAhas massmA , particleBhas mass2.00mA, and particleChas mass3.00mA. A fourth particleD, with mass4.00mA, is to be placed near the other three particles. In terms of distanced, at what (a)xcoordinate and (b)ycoordinateshould particle Dbe placed so that the net gravitational force on particle Afrom particles B, C, and

    Found on Page 379
  4. Figure 13-29 shows six paths by which a rocket orbiting a moon might move from point ato point b. Rank the paths according to (a) the corresponding change in the gravitational potential energy of the rocket–moon system and (b) the net work done on the rocket by the gravitational force from the moon, greatest first.

    Found on Page 378
  5. As seen in the figure, two spheres of massmand a third sphere of massMform an equilateral triangle, and a fourth sphere of massis at the center of the triangle. The net gravitational force on that central sphere from the three other spheres is zero. (a) What isMin terms ofm? (b) If we double the value of, what is the magnitude of the net gravitational force on the central sphere?

    Found on Page 379
  6. Figure 13-30 shows three uniform spherical planets that are identical in size and mass. The periods of rotation Tfor the planets are given, and six lettered points are indicated—three points are on the equators of the planets and three points are on the north poles. Rank the points according to the value of the free-fall acceleration gat them, greatest first.

    Found on Page 378
  7. In Figure (a), particleAis fixed in place atx=-0.20m on thexaxis and particleB, with a mass of 1.0 kg, is fixed in place at the origin. ParticleC(not shown) can be moved along thexaxis, between particleBandx=∞.Figure (b)shows thexcomponentFnet,xof the net gravitational force on particleBdue to particlesAandC, as a function of positionxof particleC. The plot actually extends to the right, approaching an asymptote of−4.17×1010Nas→∞. What are the masses of (a) particleAand (b) particleC

    Found on Page 379
  8. In Fig. 13-31, a particle of mass m(which is not shown) is to be moved from an infinite distance to one of the three possible locations a, b, and c. Two other particles, of masses mand 2m, are already fixed in place on the axis, as shown. Rank the three possible locations according to the work done by the net gravitational force on the moving particle due to the fixed particles, greatest first.

    Found on Page 378
  9. The figure gives the potential energy functionU(r) of a projectile, plotted outward from the surface of a planet of radius. What least kinetic energy is required of a projectile launched at the surface if the projectile is to “escape” the planet

    Found on Page 380
  10. In Problem 1, What ratio m / Mgives the least gravitational potential energy for the system?

    Found on Page 381

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