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Chapter 11: Q12Q (page 458)
What features of the Bohr model of hydrogen are consistent with the later, full quantum mechanical analysis? What features of the Bohr model had to be abandoned?
The features of the Bohr model are electrons revolve around the nucleus in stable orbits without emission of radiant energy.
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An amusing trick is to press a finger down on a marble on a horizontal table top, in such a way that the marble is projected along the table with an initial linear speed and an initial backward rotational speed about a horizontal axis perpendicular to . The coefficient of sliding friction between marble and top is constant. The marble has radius . (a) if the marble slides to a complete stop, What was in terms of and? (b) if the marble, skids to a stop, and then starts returning toward its initial position, with a final constant speed of What was in terms of and? Hint for part (b): when the marble rolls without slipping, the relationship between speed and angular speed is.
In Figure11.89depicts a device that can rotate freely with little friction with the axle. The radius isand each of the eight balls has a mass ofThe device is initially not rotating. A piece of clay falls and sticks to one of the balls as shown in the figure. The mass of the clay isand its speed just before the collision is
(a) Which of the following statements are true, for angular momentum relative to the axle of the wheel? (1) Just before the collision, (for the clay). (2) The angular momentum of the wheel is the same before and after the collision. (3) Just before the collision, the angular momentum of the wheel is. (4) The angular momentum of the wheel is the sum of the angular momentum of the wheel + clay after the collision is equal to the initial angular momentum of the clay. (6) The angular momentum of the falling clay is zero because the clay is moving in a straight line. (b) Just after the collision, what is the speed of one of the balls?
Under what conditions is the torque about some location equal to zero?
A thin metal rod of mass and length is at rest in outer space, near a space station (Figure 11.99). A tiny meteorite with mass travelling at a high speed of strikes the rod a distance from the center and bounces off with speed 60 m/s as shown in the diagram. The magnitudes of initial and final angles to the of the small mass鈥檚 velocity are and .(a). Afterward, what is the velocity of the center of the rod? (b) Afterward, what is the angular velocity of the rod? (c) What is the increase in internal energy of the objects?
What is the angular momentum \({\overrightarrow L _A}\)If \({\overrightarrow r _A} = (9, - 9,0)\)m and \(\overrightarrow p = (12,10,0)\)\(kg.m/s?\)
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