College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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The image depicts a physics problem involving a two-mass system connected by a rope over a pulley. The setup includes: - **Mass \( M \)** on a horizontal table connected to mass \( m \) hanging vertically. - The rope and pulley are assumed to be massless and frictionless. - Mass \( M \) is initially at rest and moves to the right, while mass \( m \) moves downward, having been released from rest at a height \( h \). - There is kinetic friction between mass \( M \) and the table, characterized by the coefficient \( \mu_k \). **Objective:** Use energy conservation to derive an expression for the speed of mass \( m \) just before it impacts the floor, under the following conditions: (a) The coefficient of kinetic friction between mass \( M \) and the table is \( \mu_k \). (b) The table is frictionless. (c) Determine the net work done on the system (masses \( M \) and \( m \)) under conditions (a) and (b). Use the work-kinetic energy theorem for your calculations. **Diagram Description:** - The diagram shows a pulley system with mass \( M \) on a table with friction (indicated by \( \mu_k \)) and mass \( m \) hanging vertically with a height \( h \) from the floor. - The forces at play involve gravitational force on mass \( m \), frictional force opposing mass \( M \)'s motion, and the tension in the rope connecting the two masses.
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Transcribed Image Text:The image depicts a physics problem involving a two-mass system connected by a rope over a pulley. The setup includes: - **Mass \( M \)** on a horizontal table connected to mass \( m \) hanging vertically. - The rope and pulley are assumed to be massless and frictionless. - Mass \( M \) is initially at rest and moves to the right, while mass \( m \) moves downward, having been released from rest at a height \( h \). - There is kinetic friction between mass \( M \) and the table, characterized by the coefficient \( \mu_k \). **Objective:** Use energy conservation to derive an expression for the speed of mass \( m \) just before it impacts the floor, under the following conditions: (a) The coefficient of kinetic friction between mass \( M \) and the table is \( \mu_k \). (b) The table is frictionless. (c) Determine the net work done on the system (masses \( M \) and \( m \)) under conditions (a) and (b). Use the work-kinetic energy theorem for your calculations. **Diagram Description:** - The diagram shows a pulley system with mass \( M \) on a table with friction (indicated by \( \mu_k \)) and mass \( m \) hanging vertically with a height \( h \) from the floor. - The forces at play involve gravitational force on mass \( m \), frictional force opposing mass \( M \)'s motion, and the tension in the rope connecting the two masses.
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