Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 9, Problem 9.68AP
(a) Figure P9.36 shows three points in the operation of the ballistic pendulum discussed in Example 9.6 (and shown in Fig. 9.10b). The projectile approaches the pendulum in Figure P9.36a. Figure P9.36b shows the situation just after the projectile is captured in the pendulum. In Figure P9.36c, the pendulum arm has swung upward and come to rest momentarily at a height A above its initial position. Prove that the ratio of the kinetic energy of the projectile–pendulum system immediately after the collision to the kinetic energy immediately before is m1|/(m1 + m2). (b) What is the ratio of the momentum of the system immediately after the collision to the momentum immediately before? (c) A student believes that such a large decrease in mechanical energy must be accompanied by at least a small decrease in momentum. How would you convince this student of the truth?
Figure P9.36 Problem. 36 and 43. (a) A metal ball moves toward the pendulum. (b) The ball is captured by the pendulum. (c) The ball–pendulum combination swings up through a height h before coming to rest.
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Review. A student performs a ballistic pendulum experiment using an apparatus similar to that discussed in Example 9.6 and shown in Figure P9.36. She obtains the following average data: h = 8.68 cm, projectile mass m1 = 68.8 g, and pendulum mass m2 = 263 g. (a) Determine the initial speed v1A of the projectile. (b) The second part of her experiment is to obtain v1A by firing the same projectile horizontally (with the pendulum removed from the path) and measuring its final horizontal position x and distance of fall y (Fig. P9.43). What numerical value does she obtain for v1A based on her measured values of x = 257 cm and y = 85.3 cm? (c) What factors might account for the difference in this value compared with that obtained in part (a)?
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Chapter 9 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
Ch. 9 - Two objects have equal kinetic energies. How do...Ch. 9 - Your physical education teacher throws a baseball...Ch. 9 - Two objects are at rest on a frictionless surface....Ch. 9 - Rank an automobile dashboard, seat belt, and air...Ch. 9 - In a perfectly inelastic one-dimensional collision...Ch. 9 - A table-tennis ball is thrown at a stationary...Ch. 9 - A baseball bat of uniform density is cut at the...Ch. 9 - A cruise ship is moving at constant speed through...Ch. 9 - You are standing on a saucer-shaped sled at rest...Ch. 9 - Prob. 9.2OQ
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