College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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**5. (ENERGY CONSERVATION)** Consider the system shown in the figure below, with two blocks of equal mass \( m = 2 \, \text{kg} \) connected by a taut cord over a frictionless pulley, and the leftmost block attached to a spring with spring constant \( k = 100 \, \text{N/m} \). The other end of the spring is tethered to the wall. The coefficient of kinetic friction between the leftmost block and the table is \( \mu_k = \frac{1}{4} \). The system is held with the spring at its relaxed (or equilibrium) length and then released.

*[Diagram Description: The diagram shows two blocks of equal mass labeled \( m \). The leftmost block is connected horizontally to a spring with spring constant \( k \). This block is also connected by a cord that passes over a frictionless pulley to a second block hanging vertically. The friction coefficient between the leftmost block and the table is given as \( \mu_k = \frac{1}{4} \).]*

**(a)** How far does the spring stretch before the blocks come to rest?

**(b)** If the cord connecting the two blocks is then severed, untethering the block on the table to the hanging block, what would be the minimal required coefficient of static friction \( (\mu_s) \) between the block and the table in order for the block on the table to remain stationary?
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Transcribed Image Text:**5. (ENERGY CONSERVATION)** Consider the system shown in the figure below, with two blocks of equal mass \( m = 2 \, \text{kg} \) connected by a taut cord over a frictionless pulley, and the leftmost block attached to a spring with spring constant \( k = 100 \, \text{N/m} \). The other end of the spring is tethered to the wall. The coefficient of kinetic friction between the leftmost block and the table is \( \mu_k = \frac{1}{4} \). The system is held with the spring at its relaxed (or equilibrium) length and then released. *[Diagram Description: The diagram shows two blocks of equal mass labeled \( m \). The leftmost block is connected horizontally to a spring with spring constant \( k \). This block is also connected by a cord that passes over a frictionless pulley to a second block hanging vertically. The friction coefficient between the leftmost block and the table is given as \( \mu_k = \frac{1}{4} \).]* **(a)** How far does the spring stretch before the blocks come to rest? **(b)** If the cord connecting the two blocks is then severed, untethering the block on the table to the hanging block, what would be the minimal required coefficient of static friction \( (\mu_s) \) between the block and the table in order for the block on the table to remain stationary?
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