A package is oscillating on a spring scale with a period of 4.60 s. At time t =

Question

A package is oscillating on a spring scale with a period of 4.60 s. At time t = 0.00 s the package has zero speed and is at x = 8.30 cm. At what time after t = 0.00 s will the package first be at x = 4.15 cm?

1.53 s Quiz: Homework Chaptex CSecure https/ivylearn.ivytech.edu/courses/830928/quizzes/1744392/take DQuestion 9 1 pts lvy Learn A package is oscillating on a spring scale with a period of 4.60 s. At timet 0.00 s the package has zero speed and is at x = 8.30 cm. At what time after t = 0.00 s will the package first be at x- 4.15 cm? Account 1.53 s O 0.767 s Courses 1.15 s 0.575 s Calendar 1.30 s Inbox Question 10 1 pts Help If a floating log is seen to bob up and down 15 times in 1.0 min as waves pass by you, what are the frequency and period of the wave? 0.25

Explanation / Answer

Q9.

T = time period = 4.6 sec

X0 = Amplitude = 8.30 cm

at t = 0, speed is zero which means package is at the ending point of motion.

Using standard equation:

X = X0*cos wt

w = 2*pi/T

X = X0*cos (2*pi*t/T)

cos (2*pi*t/T) = X/X0

t = (T/(2*pi))*arccos (X/X0)

Using given values:

t = (4.6/(2*pi))*arccos (4.15/8.3)

t = 0.767 sec

Correct option is B.

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