A 1.5-kg cart attached to an ideal spring with a force constant (spring constant) of 20 N/m oscillates on a horizontal, frictionless track. At time t = 0.00 s, the cart is released from rest at position x = 10 cm from the equilibrium position
(a) What is the frequency of the oscillations of the cart?
(b) Determine the maximum speed of the cart. Where does the maximum speed occur?
(c) Find the maximum acceleration of the mass. Where does the maximum acceleration occur?
(d) How much total energy does this oscillating system contain?
(e) Express the displacement as a function of time using a cosine function.
(a) 0.58 Hz (b) 0.37 m/s, at the equilibrium position
(c) 1.3 m/s2, at maximum displacement (d) 0.10 J (e) x = (0.10 m) cos (3.7 s-1 t)
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