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Chapter 13: Q3P (page 379)
What must the separation be between a 5.2 kgparticle and a 2.4 kgparticle for their gravitational attraction to have a magnitude of?
The separation between the two particles must be 19 m
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The Sun’s center is at one focus of Earth’s orbit. How far from this focus is the other focus,
(a) in meters and
(b) in terms of the solar radius,? The eccentricity is, and the semimajor axis is.
In Fig. 13-21, a central particle of mass Mis surrounded by a square array of other particles, separated by either distance dor distance d /2along the perimeter of the square. What are the magnitude and direction of the net gravitational force on the central particle due to the other particles?
In 1993 the spacecraft Galileosent an image (Fig. 13-48) of asteroid 243 Ida and a tiny orbiting moon (now known as Dactyl), the first confirmed example of an asteroid–moon system. In the image, the moon, which is wide, is from the center of the asteroid, which is role="math" localid="1661157158474" long. Assume the moon’s orbit is circular with a period of .
(a) What is the mass of the asteroid?
(b) The volume of the asteroid, measured from the Galileoimages, is . What is the density (mass per unit volume) of the asteroid? was sent spinning out of control. Just before the collision and in
In deep space, sphere Aof mass is located at the origin of an x-axis and sphere Bof mass is located on the axis at . Sphere Bis released from rest while sphere Ais held at the origin. (a) What is the gravitational potential energy of the two-sphere system just as Bis released? (b) What is the kinetic energy of Bwhen it has moved toward A?
A rocket moving radially outward from Earth has a speed of when its engine shuts off above Earth’s surface. (a) Assuming negligible air drag acts on the rocket, find the rocket’s kinetic energy when the rocket is above Earth’s surface. (b) What maximum height above the surface is reached by the rocket?
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