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need help answering these questions first person to answer with well explained step by step gets the points
there's 5 parts to the problem
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(d) Find the maximum kinetic energy of the object. 0.0649 J (e) What is the spring constant of the spring? 33.8 n/m (c) What is the TOTAL distance the object moves through in one cycle? 24.8 cm 1. An object weighing 44.1 N hangs from a vertical massless ideal spring. When set in vertical motion, the object obeys the equation y(t) = (6.20 cm) cos[(2.74 tad/s)/ - 1.40]. (a) Find the time for this object to vibrate one complete cycle. 2.29 s (b) What are the maximum speed and maximum acceleration of the object? 0.170 m/s 0.465 m/s^2

Explanation / Answer

w = 2.74

T = 2 pi / w = 2 pi / 2.74

T = 2.29 s

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b) max speed = w A = 2.74 * 6.2 = 0.1699 m/s

= 0.170 m/s

w2 * A = 0.465 m/s2

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c)distance =4 A = 4 * 6.2

= 24.8 cm

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d) 0.5 m w2 A2

1/2(44.1N / 9.8) (0.172)

= 0.064 J

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e) w = sqrt [k/m]

w2 = k / (44.1/9.8)

2.742 = k/4.5

k = 33.78 N/m

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