9781118230725.pdf

two-body system and one-dimensional collision of Fig. 9-14. From Eq. 9-25 , we can relate to the total linear momentum of that t ...

236 CHAPTER 9 CENTER OF MASS AND LINEAR MOMENTUM Additional examples, video, and practice available at WileyPLUS m h M v There a ...

Elastic Collisions in One Dimension As we discussed in Module 9-6, everyday collisions are inelastic but we can approximate some ...

To do so, we rewrite Eq. 9-63 as m 1 (v 1 iv 1 f)m 2 v 2 f (9-65) and Eq. 9-64 as* (9-66) After dividing Eq. 9-66 by Eq. 9-65 ...

and the conservation of kinetic energy is written as (9-72) To solve these simultaneous equations for v 1 fandv 2 f, we first re ...

Collisions in Two Dimensions When two bodies collide, the impulse between them determines the directions in which they then trav ...

ation we would rewrite Eq. 9-77 for components along the xaxis as m 1 v 1 im 1 v 1 fcosu 1 m 2 v 2 fcosu 2 , (9-79) and along ...

242 CHAPTER 9 CENTER OF MASS AND LINEAR MOMENTUM Figure 9-22(a) An accelerating rocket of massMat time t, as seen from an inerti ...

Integrating leads to in which Miis the initial mass of the rocket and Mfits final mass. Evaluating the integrals then gives (sec ...

244 CHAPTER 9 CENTER OF MASS AND LINEAR MOMENTUM mustbe conserved (it isa constant), which we can write in vector form as , (9-5 ...

QUESTIONS 245 Questions 1 Figure 9-23 shows an overhead view of three particles on which ex- ternal forces act. The magnitudes a ...

9 Two bodies have undergone an elastic one-dimensional collision along an xaxis. Figure 9-31 is a graph of position versus time ...

PROBLEMS 247 ••4 In Fig. 9-37, three uniform thin rods, each of length L22 cm, form an in- verted U. The vertical rods each hav ...

248 CHAPTER 9 CENTER OF MASS AND LINEAR MOMENTUM ••15 Figure 9-44 shows an arrangement with an air track, in which a cart is con ...

PROBLEMS 249 12.0 m/s and angle u 1 35.0. Just after, it is traveling directly upward with velocity of magnitude 10.0 m/s. The ...

250 CHAPTER 9 CENTER OF MASS AND LINEAR MOMENTUM μ L μ = 0 μ R dL dR Figure 9-57Problem 44. ••35 Figure 9-53 shows an approximat ...

PROBLEMS 251 ••47 A vessel at rest at the origin of an xycoordinate system ex- plodes into three pieces. Just after the explosio ...

252 CHAPTER 9 CENTER OF MASS AND LINEAR MOMENTUM h 1 2 Frictionless μ k Figure 9-67Problem 68. Basketball Baseball (a) Before (b ...

PROBLEMS 253 Module 9-8 Collisions in Two Dimensions ••71 In Fig. 9-21, projectile particle 1 is an alpha particle and target pa ...

254 CHAPTER 9 CENTER OF MASS AND LINEAR MOMENTUM 84 Figure 9-73 shows an overhead view of two particles sliding at constant velo ...