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0.325kg block slides on a horizontal frictionless surface. The block is attached to a spring that has a pring constant K=19.5N/m. At one instant the spring is compressed 0.0400m and the velocity of the lock is to the left at 0.300m/s as shown in the figure below. Neglect air resistance. y| 0.300m/s 0.325kg 0.0400m Equilibrium position a) At what values of x does the block stop? b) At what values of x does the block have maximum speed? Find the value of the maximum speed. c) At what values of x does the block have maximum acceleration? Find the value of the maximum acceleration. a If the pOsitionn of the bleokk is degor

0.325kg block slides on a horizontal frictionless surface. The block is attached to a spring that has a pring constant K=19.5N/m. At one instant the spring is compressed 0.0400m and the velocity of the lock is to the left at 0.300m/s as shown in the figure below. Neglect air resistance. y| 0.300m/s 0.325kg 0.0400m Equilibrium position a) At what values of x does the block stop? b) At what values of x does the block have maximum speed? Find the value of the maximum speed. c) At what values of x does the block have maximum acceleration? Find the value of the maximum acceleration. a If the pOsitionn of the bleokk is degor

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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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### Physics Problem: Oscillating Block on a Spring **Problem Statement:** A 0.325 kg block slides on a horizontal frictionless surface. The block is attached to a spring with a spring constant \( K = 19.5 \, \text{N/m} \). At one instant, the spring is compressed by \( 0.0400 \, \text{m} \) and the velocity of the block is to the left at \( 0.300 \, \text{m/s} \) as shown in the figure below. Neglect air resistance. **Diagram Description:** The diagram illustrates a block attached to a horizontal spring. The spring is initially compressed by \( 0.0400 \, \text{m} \) from the equilibrium position. The block, with a mass of \( 0.325 \, \text{kg} \), moves with a velocity of \( 0.300 \, \text{m/s} \) to the left. The equilibrium position is marked on the x-axis. **Questions:** a) At what values of \( x \) does the block stop? b) At what values of \( x \) does the block have maximum speed? **Find the value of the maximum speed.** c) At what values of \( x \) does the block have maximum acceleration? **Find the value of the maximum acceleration.** d) If the position of the block is described by \( x = x_m \cos(\omega t + \theta_0) \), first find all possible values of \( \theta_0 \) and then explain how to determine the value of \( \theta_0 \) that corresponds to the given conditions.
Transcribed Image Text:### Physics Problem: Oscillating Block on a Spring **Problem Statement:** A 0.325 kg block slides on a horizontal frictionless surface. The block is attached to a spring with a spring constant \( K = 19.5 \, \text{N/m} \). At one instant, the spring is compressed by \( 0.0400 \, \text{m} \) and the velocity of the block is to the left at \( 0.300 \, \text{m/s} \) as shown in the figure below. Neglect air resistance. **Diagram Description:** The diagram illustrates a block attached to a horizontal spring. The spring is initially compressed by \( 0.0400 \, \text{m} \) from the equilibrium position. The block, with a mass of \( 0.325 \, \text{kg} \), moves with a velocity of \( 0.300 \, \text{m/s} \) to the left. The equilibrium position is marked on the x-axis. **Questions:** a) At what values of \( x \) does the block stop? b) At what values of \( x \) does the block have maximum speed? **Find the value of the maximum speed.** c) At what values of \( x \) does the block have maximum acceleration? **Find the value of the maximum acceleration.** d) If the position of the block is described by \( x = x_m \cos(\omega t + \theta_0) \), first find all possible values of \( \theta_0 \) and then explain how to determine the value of \( \theta_0 \) that corresponds to the given conditions.
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