A hollow ball (which can be modeled as a thin spherical shell) is released from rest on an inclined board as shown below. Calculate the velocity of the ball at the bottom of the incline, as it rolls without slipping. Use conservation of energy to perform the calculation. Show your work. (Report your answer in units of m/s but only type in the numerical value.)
A hollow ball (which can be modeled as a thin spherical shell) is released from rest on an inclined board as shown below. Calculate the velocity of the ball at the bottom of the incline, as it rolls without slipping. Use conservation of energy to perform the calculation. Show your work. (Report your answer in units of m/s but only type in the numerical value.)
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A hollow ball (which can be modeled as a thin spherical shell) is released from rest on an inclined board as shown below. Calculate the velocity of the ball at the bottom of the incline, as it rolls without slipping. Use conservation of energy to perform the calculation. Show your work. (Report your answer in units of m/s but only type in the numerical value.)
Transcribed Image Text:The image depicts a diagram of a slope with a ball positioned at the top. It illustrates a basic physics setup to study motion along an inclined plane. Here is a detailed breakdown of the diagram:
- **Inclined Plane**: The main feature in the diagram is a sloped surface extending from a height to the ground.
- **Ball**: A circle is placed at the topmost part of the incline, representing an object, such as a ball, ready to roll down.
- **Height (h)**: The vertical height from the top of the inclined plane to the ground is labeled as \( h = 1.2 \, \text{m} \). This indicates the starting height of the ball relative to the base of the incline.
- **Base**: The base of the inclined plane is a horizontal line, representing the ground level.
This setup is commonly used to explore concepts such as gravitational potential energy, kinetic energy, and the motion of objects on inclines in introductory physics.
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