A 0.200-kg object attached to a spring oscillates on a frictionless horizontal table with a frequency of 3.00 Hz and an amplitude 20.0 cm. What is the maximum potential energy Umaxof the system? Umax= J What is the displacement x of the object when the potential energy is one-half of the maximum? x = What is the potential energy U when the displacement of the object is 2.00 cm. U = J
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
A and B were a part of a potential energy topic: I kept getting a wrong answer. I would like some guidance on them.
a. The potential energy of an object attached to a spring is 2.60 J at a location where the kinetic energy is 1.70 J.
If the amplitude ? of the
b.
What is the maximum potential energy ?max of the system?
What is the displacement ? of the object when the potential energy is one‑half of the maximum?
What is the potential energy ? when the displacement of the object is 2.00 cm.
![A 0.200-kg object attached to a spring oscillates on a frictionless horizontal table with a frequency of 3.00 Hz and an amplitude (
20.0 cm.
What is the maximum potential energy Umaxof the system?
Umax=
J
What is the displacement x of the object when the potential
energy is one-half of the maximum?
X =
m
What is the potential energy U when the displacement of the
object is 2.00 cm.
U =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f625a96-005d-4e19-8c74-9c003a987841%2F81f8e992-3a04-48f5-b18e-42dec0314934%2F5l0fn2_processed.png&w=3840&q=75)
![The potential energy of an object attached to a spring is 2.60 J at a location where the kinetic energy is 1.70 J.
If the amplitude A of the simple harmonic motion is 20.0 cm, calculate the spring constant k and the magnitude of the largest
force Fspring,mthat the object experiences.
k =
N/m
Fspring,max
N](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f625a96-005d-4e19-8c74-9c003a987841%2F81f8e992-3a04-48f5-b18e-42dec0314934%2Ff9zj2v_processed.png&w=3840&q=75)
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