400 gram block, attached to the end of an ideal spring (horizontal)with force constant k=10 K/m, undergoes simple harmonic motion witha maximum displacement of .05m from the relaxed position. Ignoreany friction or air resistance
a. Compute the amplitude of oscillations
b. Compute maximum speed of the block
c. Compute magnitude of the maximum acceleration of the block
d. Compute angular frequency of the oscillations
e. At which positionthe acceleration (magnitude) of the block is themaximum
f. At which positionthe velocity (magnitude) of the block is the maximum
g. How much time doesit take the block to travel from a farthest position to theposition 3 (quarter of a cycle)
h. At which positionthe acceleration is zero?
i. At which positionthe velocity is zero?
j. What is the linearfrequency of the oscillations?
k. What is the totalmechanical energy of the block at the position 4 (fullcircle)
l. Write down theexplicit formula of displacement as a function oftime.