A 0.340 kg block is attached to ahorizontal, ideal spring with spring constant k = 30.0 N/m. There is no friction. At t = 0, the block has a velocity of - 5.00 m/s and adisplacement of 0.280 m.
Using the general solution for a horizontal springproblem, x(t) = Asin(omega t + phi), where A is theamplitude of the block's motion and phi is the phase angle, answer the followingquestions.
(a) Find the phase angle.
rad
(b) Find the amplitude.
m
(c) Write an equation for the block's position as a function oftime.
x(t) = ( 3 m ) sin ( [4 rad/s ]t +5 rad).
d) What is the period of the block's motion?
s
e) What is the frequency of the block's motion?
Hz
F) What is the maximum spring potential energy stored during the block's motion?
J
g) What is the block's maximum kinetic energy during itsmotion?
J
h) What is the total energy stored in the system?
J