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A box of a certain mass is attached to a spring of spring constant 7.0 N/m and experience simple harmonic motion with an amplitude of 0.2 m. When the position of a box is at 0.4A its speed is measured to be + 0.25 m/s. (Hint: x(t) = Asinwt). Calculate the maximum acceleration of the box.

A box of a certain mass is attached to a spring of spring constant 7.0 N/m and experience simple harmonic motion with an amplitude of 0.2 m. When the position of a box is at 0.4A its speed is measured to be + 0.25 m/s. (Hint: x(t) = Asinwt). Calculate the maximum acceleration of the box.

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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A box of a certain mass is attached to a spring of spring constant 7.0 N/m and experience simple harmonic motion with an amplitude of 0.2 m. When the position of a box is at 0.4A its speed is measured to be + 0.25 m/s. (Hint: x(t) Asinwt). Calculate the maximum acceleration of the box. А. 0.37 m/s2 В. 3.66 m/s2 O C. С. 1.19 m/s2 טך
Transcribed Image Text:A box of a certain mass is attached to a spring of spring constant 7.0 N/m and experience simple harmonic motion with an amplitude of 0.2 m. When the position of a box is at 0.4A its speed is measured to be + 0.25 m/s. (Hint: x(t) Asinwt). Calculate the maximum acceleration of the box. А. 0.37 m/s2 В. 3.66 m/s2 O C. С. 1.19 m/s2 טך
Expert Solution
Step 1

The equation of position of the block attached to the spring which experiences simple harmonic motion is given as is given as

x(t) = Asin(ωt) .........................(1)where,x(t) is the position of the block at any time tA is the amplitude of the blockω is the angular frequency

Here, it is given that

spring constant, k = 7 N/m

amplitude of the box, A = 0.2 m

speed of the box at x = 0.4 A is v = 0.25 m/s

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