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# Answer: A small block is attached to an ideal spring and ISBN: 9780321675460 31

## Solution for problem 23E Chapter 14

University Physics | 13th Edition

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Problem 23E

A small block is attached to an ideal spring and is moving in SHM on a horizontal, frictionless surface. The amplitude of the motion is 0.12 m The maximum speed of the block is 3.90 m/s. What is the maximum magnitude of the acceleration of block?

Step-by-Step Solution:

Solution 23E Step 1: Mass of the block = m in Kg Amplitude A = 0.12 m Maximum speed v max 3.90 m/s Step 2: To find the magnitude of maximum acceleration Maximum acceleration a max = kA m Where k is spring constant. Mass and spring constant (force constant) are not given directly. We need to calculate the ratio of mass and spring constant to find maximum acceleration. Step 3: From conservation of energy 1mv +xkx 1 2 = kA 2 2 2 2 Velocity of the particle is maximum when it is in the mean position where x = 0 therefore 1 2 1 2 2mv max = k2 v = k A or max m

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##### ISBN: 9780321675460

Since the solution to 23E from 14 chapter was answered, more than 465 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Block, maximum, acceleration, amplitude, frictionless. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The full step-by-step solution to problem: 23E from chapter: 14 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. The answer to “A small block is attached to an ideal spring and is moving in SHM on a horizontal, frictionless surface. The amplitude of the motion is 0.12 m The maximum speed of the block is 3.90 m/s. What is the maximum magnitude of the acceleration of block?” is broken down into a number of easy to follow steps, and 46 words. This textbook survival guide was created for the textbook: University Physics, edition: 13. University Physics was written by and is associated to the ISBN: 9780321675460.

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