How Do You Calculate Amplitude and Period in Simple Harmonic Motion?

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To calculate the amplitude of the simple harmonic motion for a 0.1 kg block attached to a spring with a force constant of 40 N/m, the relevant equations include w^2 = k/m and x = A sin(wt). The amplitude can be determined by analyzing the maximum displacement from the equilibrium position when the spring is fully stretched. The time for the block to return to its initial position can be found using the period of the motion, which is related to the angular frequency. Understanding the net force on the block when it is at rest is also crucial for solving these problems.
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hard physics question! help please

Homework Statement


How do I solve the 2 questions below?:

Questions 23 24
A 0.l kilogram block is attached to an initially unstretched spring of force constant k = 40 Newtons per meter as shown above. The block is released from rest at time t = 0. (the image is attached below).

23. What is the amplitude of the resulting simple harmonic motion of the block?
(A) m (B) (C) (D) (E) 1m

24. At what time after release will the block first return to its initial position?
(A) (B) (C) (D) (E)

Homework Equations



w^2= k/m
x = Asin(wt)
F=kx
dunno wat else??

The Attempt at a Solution



I tried plugging in those 3 equations together and manipulating equations. couldn't get anything though. Someone please help. I think I'm missing an important equation.
 

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bumped
 


can someone help pl0x
 


How far does the spring stretch when the net force on the block is zero? i.e. when k·|x-x0|=mg .

Describe the motion of the block (in words) over one complete period.
 

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