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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’s 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’s 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?
An object of mass mis initially held in place at radial distancefrom the center of Earth, whereis the radius of Earth. Let MEbe the mass of Earth. A force is applied to the object to move it to a radial distance, where it again is held in place. Calculate the work done by the applied force during the move by integrating the force magnitude.
One model for a certain planet has a core of radiusR and mass Msurrounded by an outer shell of inner radius R, outer radius 2R, and mass4M. Ifand, what is the gravitational acceleration of a particle at points (a)R(b)3Rfrom the center of the planet?
In Problem 1, What ratio m / Mgives the least gravitational potential energy for the system?
The mean diameters of Mars and Earth are and , respectively. The mass of Mars is timesEarth’s mass. (a) What is the ratio of the mean density (mass perunit volume) of Mars to that of Earth? (b) What is the value of thegravitational acceleration on Mars? (c) What is the escape speedon Mars?
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