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Chapter 13: Universal Gravitation

Physics For Scientists & Engineers
Pages: 388 - 416

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16 Questions for Chapter 13: Universal Gravitation

  1. A 200-kgobject and a localid="1663652122187" 500-kgobject are separated by 4.00  m.(a) Find the net gravitational force exerted by these object on a 50.0-kg  object placed midway between them.(b) At what position (other than an infinitely remote one) can the 50.0-kg  object be placed so as to experience a net force of zero from the other two objects.

    Found on Page 410
  2. Use Kepler’s third law to determine how many days it takes a spacecraft to travel in an elliptical orbit from a point 6 670 km from the Earth’s center to the Moon, 385, 000 km from the Earth’s center.

    Found on Page 388
  3. An object is released from rest at an altitude h above the surface of the Earth. (a) Show that its speed at a distance r from the Earth’s center, where RE≤r≤RE+h, is v=2GME(1r-1RE+h)

    Found on Page 413
  4. A system consists of three particles, each of mass 5.00g, located at the corners of an equilateral triangle with sides of 30.0cm. (a) Calculate the potential energy of the system. (b) Assume the particles are released simultaneously. Describe the subsequent motion of each. Will any collisions take place? Explain.

    Found on Page 413
  5. Derive an expression for the work required to move an Earth satellite of mass m from a circular orbit of radius to one of radius

    Found on Page 413
  6. 4.(a) Explain why the force exerted on a particle by a uniform sphere must be directed toward the centre of the sphere. (b) Would this statement be true if the mass distribution of the sphere were not spherically symmetric? Explain.

    Found on Page 409
  7. During a solar eclipse, the moon, the earth, and the sun all lie on the same line, with the moon lying between the earth and the sun. (a) What force is exerted by the sun on the moon? (b) What force is exerted by the Earth on the moon? (c) What force is exerted by the sun on the Earth? (d) Compare the answers to parts (a) and (b) .Why doesn’t the sun capture the moon away from the Earth?

    Found on Page 410
  8. Why is the following situation impossible? A spacecraft is launched into a circular orbit around the Earth and circles the Earth once every hour.

    Found on Page 414
  9. Work done on a system puts energy into it. Work done by a system removes energy from it. Give an example for each statement.

    Found on Page 409
  10. Two spheres having masses Mand 2M and radii R and 3R, respectively, are simultaneously released from rest when the distance between their centers is 12R. Assume the two spheres interact only with each other and we wish to find the speeds with which they collide. (a) What two isolated system models are appropriate for this system? (b) Write an equation from one of the models and solve it forv→1 , the velocity of the sphere of mass M at any time after release in terms of v2→, the velocity of 2M. (c) Write an equation from the other model and solve it for speedv1 in terms of speedv2 when the spheres collide. (d) Combine the two equations to find the two speeds v1andv2 when the spheres collide.

    Found on Page 414

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