A horizontal spring with a spring constant of 20.0 N/m is attached to a 0.750 kg mass on a horizontal, frictionless table. The mass is pulled until the spring is stretched to 10.0 cm, then released at time t = 0 s.
a. What is the angular frequency, frequency, and period of the oscillation?
b. What is the amplitude of the motion?
c. At what time will the mass first pass the equilibrium position?
d. At what position is the block after 1.00 seconds?
e. How fast is it going when it passes the equilibrium position?
f. How fast is it going at 2.00 seconds?
g. How fast is it going when it is at the halfway point to the equilibrium position?
h. At what position is it going 0.250 m/s?
i. What is the total mechanical energy of the block?
j. At what position is the energy evenly split between kinetic and spring potential energy?
A horizontal spring with a spring constant of 20.0 N/m is attached to a 0.750 kg mass on a horizontal, frictionless table. The mass is pulled until the spring is stretched to 10.0 cm, then released at time t = 0 s.
a. What is the angular frequency, frequency, and period of the oscillation?
b. What is the amplitude of the motion?
c. At what time will the mass first pass the equilibrium position?
d. At what position is the block after 1.00 seconds?
e. How fast is it going when it passes the equilibrium position?
f. How fast is it going at 2.00 seconds?
g. How fast is it going when it is at the halfway point to the equilibrium position?
h. At what position is it going 0.250 m/s?
i. What is the total mechanical energy of the block?
j. At what position is the energy evenly split between kinetic and spring potential energy?
