Respuesta :
a) Total mechanical energy of the object-spring system = 0.198 J
b) Maximum speed of the oscillating object = 0.269 m/s
c) Maximum magnitude of acceleration of the oscillating object = 1.72 m/s2
What is acceleration?
Acceleration is the name we give to any process where the velocity changes. Since velocity is a speed and a direction, there are only two ways for you to accelerate: change your speed or change your direction—or change both.
Mass of the object = m = 5.5 kg
Force constant of the spring = k = 225 N/m
Amplitude of the motion = A = 4.2 cm = 0.042 m
Total mechanical energy of the object-spring system = E
Total mechanical energy is equal to the maximum potential the spring can store in this motion.
(a) [tex]$E=\frac{1}{2} \times 300 \times 0.037^2$[/tex]
[tex]$E=0.20535 \text { Joules }$[/tex]
Maxmium speed, [tex]$v_{\max }=$[/tex] AeO
[tex]$\begin{gathered}\omega=\sqrt{\frac{k}{m}}=\sqrt{\frac{300}{5.5}} \\\omega=7.3855 \mathrm{rad} / \mathrm{s} \\v_{\max }=0.037 \times 7.3855 \\V=0.273 \mathrm{~m} / \mathrm{s}\end{gathered}$[/tex]
(C) Maximim acceleration, [tex]$a_m=A \omega^2$[/tex]
[tex]$\begin{aligned}a_{\max } & =0.037 \times 7.3855^2 \\a_{\max } & =2.018 \mathrm{~m} / \mathrm{s}^2\end{aligned}$[/tex]
To learn more about acceleration visit:https://brainly.com/question/12550364
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