A 2.50-kg object is attached to a spring with a force constant of 4.10 N/m. The object rests on a horizontal surface that has a viscous, oily substance spread evenly on it. The object is pulled 15.0 cm to the right of the equilibrium position and set into harmonic motion. After f = 2.00 s the amplitude has fallen to 7.00 cm due to frictional losses in the oil. Calculate the natural frequency fo of the system. fo = Hz Calculate the damping constant b for the oil. kg/s Calculate the frequency / of oscillation that will be observed for the motion. Hz How much time t will it ake before the oscillations have died down to one tenth of the original amplitude (1.50 cm)?

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A 2.50-kg object is attached to a spring with a force constant of 4.10 N/m. The object rests on a horizontal surface that has a
viscous, oily substance spread evenly on it. The object is pulled 15.0 cm to the right of the equilibrium position and set into
harmonic motion. After t1 = 2.00 s the amplitude has fallen to 7.00 cm due to frictional losses in the oil.
Calculate the natural frequency fo of the system.
fo =
Hz
Calculate the damping constant b for the oil.
kø/s
Calculate the frequency f of oscillation that will be observed
for the motion.
Hz
How much time t will it take before the oscillations have died
down to one-tenth of the original amplitude (1.50 cm)?
Transcribed Image Text:A 2.50-kg object is attached to a spring with a force constant of 4.10 N/m. The object rests on a horizontal surface that has a viscous, oily substance spread evenly on it. The object is pulled 15.0 cm to the right of the equilibrium position and set into harmonic motion. After t1 = 2.00 s the amplitude has fallen to 7.00 cm due to frictional losses in the oil. Calculate the natural frequency fo of the system. fo = Hz Calculate the damping constant b for the oil. kø/s Calculate the frequency f of oscillation that will be observed for the motion. Hz How much time t will it take before the oscillations have died down to one-tenth of the original amplitude (1.50 cm)?
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