13. 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 0.4 A its speed is measured to be + 0.25 m/s. (Hint: x(t) = Asinwt). Calculate the period of the motion. ge A) 3.55 s B) 4.62 s C) 5.63 s D) 7.39 s E) 7.88 s

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13. 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 0.4 A its speed is measured to be + 0.25 m/s. (Hint: x(t) = Asinwt). Calculate
the period of the motion.
41 Page
A) 3.55 s
B) 4.62 s
C) 5.63 s
D) 7.39 s
E) 7.88 s
Transcribed Image Text:13. 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 0.4 A its speed is measured to be + 0.25 m/s. (Hint: x(t) = Asinwt). Calculate the period of the motion. 41 Page A) 3.55 s B) 4.62 s C) 5.63 s D) 7.39 s E) 7.88 s
Expert Solution
Step 1

The speed of an object performing SHM is given by the equation

v=ωA2-x2ω is the angular frequency of oscillationsA is the amplitude of oscillationsx is the position

From the given problem, the amplitude of the mass performing SHM is 0.2 m, and when the position of the object is 0.4 times this amplitude, its speed is 0.25 m/s

 

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