Example 9-16

Example 9-16 - Mgh Because the sphere...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Example 9-16 A Bowling Ball A bowling ball that has an 11-cm radius and a 7.2-kg mass is rolling without slipping at 2.0 m/s on  a horizontal ball return. It continues to roll without slipping up a hill to a height  h  before  momentarily coming to rest and then rolling back down the hill. Model the bowling ball as a  uniform sphere and find  h . PICTURE  No slipping occurs, so no energy is dissipated by kinetic friction. No external forces act  on the ball–hill–Earth system, so no external forces do work on the system. The initial kinetic  energy, which is the translational kinetic energy, , plus the kinetic energy of rotation about the  center of mass, , is converted to potential energy 
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Mgh . Because the sphere rolls without slipping, the initial linear and angular speeds are related by SOLVE 1. Make a labeled sketch showing the ball in both its initial and final positions ( Figure 9-34 ). 2. No external forces act on the system, so the work done by external forces is zero, and no slipping occurs, so no energy is dissipated by kinetic friction. Thus, mechanical energy is constant: Answer: 3. Apply conservation of mechanical energy with U i = 0 and K f = 0. Write the total initial kinetic energy K i in terms of the speed and the angular speed ω 1 : Answer: 4. Substitute from and solve for h : Answer:...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern