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Two blocks, A and B (with mass 60 kg and 105 kg, respectively), are connected by a string, as shown in the figure below. The pulley is frictionless and of negligible mass. The coefficient of kinetic friction between block A and the incline is  μk = 0.26.  Determine the change in the kinetic energy of block A as it moves from  to , a distance of 24 m up the incline (and block B drops downward a distance of 24 m) if the system starts from rest J

Two blocks, A and B (with mass 60 kg and 105 kg, respectively), are connected by a string, as shown in the figure below. The pulley is frictionless and of negligible mass. The coefficient of kinetic friction between block A and the incline is  μk = 0.26.  Determine the change in the kinetic energy of block A as it moves from  to , a distance of 24 m up the incline (and block B drops downward a distance of 24 m) if the system starts from rest J

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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Two blocks, A and B (with mass 60 kg and 105 kg, respectively), are connected by a string, as shown in the figure below. The pulley is frictionless and of negligible mass. The coefficient of kinetic friction between block A and the incline is 

μk = 0.26.

 Determine the change in the kinetic energy of block A as it moves from  to , a distance of 24 m up the incline (and block B drops downward a distance of 24 m) if the system starts from rest

J

This diagram represents a physics problem involving a block and pulley system on an inclined plane. ### Components of the Diagram: 1. **Block A**: - Positioned on an inclined plane. - Represented by a blue square labeled "A". - Subject to forces such as gravity, normal force, and possibly friction. 2. **Inclined Plane**: - The plane is inclined at an angle of **37°** to the horizontal. - Noted by the angle marker and the associated degree value in the diagram. 3. **Block B**: - Suspended vertically and connected to Block A via a pulley system. - Represented by a beige square labeled "B". - Subject to gravitational force and the tension from the connecting rope. 4. **Pulley**: - Positioned at the top right corner of the inclined plane. - Facilitates the connection between Block A and Block B. - A tension force acts along the rope connecting the two blocks. 5. **Forces Identified**: - Point **D**: Marks the position of the pulley. - Point **C**: Located on the inclined plane, potentially indicating a pivot or a point of analysis. ### Explanation: - **Inclined Plane Analysis**: - For Block A, the forces to consider include the gravitational component acting down the slope, the normal force perpendicular to the plane, and the frictional force (if any), opposing the motion. - The angle of inclination (37°) affects the decomposition of the gravitational force into components parallel and perpendicular to the plane. - **Pulley and Rope System**: - The pulley redirects the force exerted by Block B vertically downward into a force parallel to the inclined plane for Block A. - **Block B**: - Hanging vertically, Block B experiences a gravitational force equal to its weight. - The tension in the rope is consistent throughout the system, assuming an ideal pulley (frictionless and massless). This setup is typically used to explore concepts such as Newton's Laws, friction, tension in ropes, and the dynamics of connected objects on an inclined plane.
Transcribed Image Text:This diagram represents a physics problem involving a block and pulley system on an inclined plane. ### Components of the Diagram: 1. **Block A**: - Positioned on an inclined plane. - Represented by a blue square labeled "A". - Subject to forces such as gravity, normal force, and possibly friction. 2. **Inclined Plane**: - The plane is inclined at an angle of **37°** to the horizontal. - Noted by the angle marker and the associated degree value in the diagram. 3. **Block B**: - Suspended vertically and connected to Block A via a pulley system. - Represented by a beige square labeled "B". - Subject to gravitational force and the tension from the connecting rope. 4. **Pulley**: - Positioned at the top right corner of the inclined plane. - Facilitates the connection between Block A and Block B. - A tension force acts along the rope connecting the two blocks. 5. **Forces Identified**: - Point **D**: Marks the position of the pulley. - Point **C**: Located on the inclined plane, potentially indicating a pivot or a point of analysis. ### Explanation: - **Inclined Plane Analysis**: - For Block A, the forces to consider include the gravitational component acting down the slope, the normal force perpendicular to the plane, and the frictional force (if any), opposing the motion. - The angle of inclination (37°) affects the decomposition of the gravitational force into components parallel and perpendicular to the plane. - **Pulley and Rope System**: - The pulley redirects the force exerted by Block B vertically downward into a force parallel to the inclined plane for Block A. - **Block B**: - Hanging vertically, Block B experiences a gravitational force equal to its weight. - The tension in the rope is consistent throughout the system, assuming an ideal pulley (frictionless and massless). This setup is typically used to explore concepts such as Newton's Laws, friction, tension in ropes, and the dynamics of connected objects on an inclined plane.
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