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Chapter 13: Q69P (page 384)
Question: In Fig. 13-18b, the scale on which thephysicist stand reads . How long will the cantaloupe take to reach the floor if the physicist drops it (from rest relative to himself) at a height ofabove the floor?
Answer:
Time taken by cantaloupe to reach the floor ist =1.1s
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Two small spaceships, each with mass, are in the circular Earth orbit of the figure, at an altitudeof.Igor, the commander of one of the ships, arrives at any fixed point in the orbitahead of Picard, the commander of the other ship. What are the (a) periodand (b) speedof the ships? At point P in the figure, Picard fires an instantaneous burst in the forward direction, reducing his ship鈥檚 speed byafter this burst; he follows the elliptical orbit shown dashed in the figure. What are the(c) kinetic energy and (d) potential energy of his ship immediately after the burst? In Picard鈥檚 new elliptical orbit, what are (e) the total energy,(f) the semi major axisrole="math" localid="1661171269628" , and(g) the orbital period?(h) How much earlier than Igor will Picard return toP?
Two neutron stars are separated by a distance of. They each have a mass of and a radiusof . They are initially at rest with respect to each other.As measured from that rest frame, how fast are they moving when(a) their separation has decreased to one-half its initial value and(b) they are about to collide?
Figure 13-44 shows four particles,each of mass 20.0 g, that form a square with an edge length of d =0.600 m. Ifdis reduced to0.200 m, what is the change in the gravitational potential energy of the four-particle system?
What are (a) the speed and (b) the period of asatellite in an approximately circular orbit above the surface of Earth? Suppose the satellite loses mechanical energy at the average rate of per orbital revolution. Adopting the reasonable approximation that the satellite鈥檚 orbit becomes a 鈥渃ircle of slowly diminishing radius,鈥� determine the satellite鈥檚
(c) altitude,(d) speed, and(e) period at the end of its 1500th revolution.
(f) What is the magnitude of the average retarding force on the satellite? Is angular momentum around Earth鈥檚 center conserved for (g) the satellite and(h) the satellite鈥揈arth system (assuming that system is isolated)?
A thin rod with mass M=is bent in a semicircle of radius. (Fig. 13-56). (a) What is its gravitational force (both magnitude and direction on a particle with massat P, the center of curvature? (b) What would be the force on the particle the rod were a complete circle?
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