i. What is different about each cart? ii. Based on Newton's 2d law which cart would have a larger acceleration? iii. What does this mean about the time it will take for each cart to move through the compressed distance of the spring?
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.
![Force
Cart I
Mass - M
Lab Set Up #1
Sensor
Lab Set Up #2
Force
Cart 2
Mass -3.SM
Sensor
In a physics lab student have two different setups. Each setup has a frictionless cart connect to an identical massless spring. For each trial
the springs are compressed against a force sensor mounted to the track. Each spring is compressed from the equilibrium position x, to the
compresses position x. When the released cart returns to position x, the spring is no longer in contact with the force sensor. The force
sensor is set to record force and time information.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F730ef53a-a27a-4d62-897c-a16fbe841eab%2Fe476a3ef-7181-4270-8c7c-b2b617e486da%2Fl989rp_processed.jpeg&w=3840&q=75)
![Another student makes the following claim.
"Because each cart is being pushed by identical springs over identical distances, both cart 1 and cart 2 will experience the same impulse,
so the F vs. t graphs will look the same for each cart."
(b) Indicate whether the claim is correct or incorrect and explain why.
i. What is different about each cart?
ii. Based on Newton's 2nd law which cart would have a larger acceleration?
iii. What does this mean about the time it will take for each cart to move through the compressed distance of the spring?
iv. How will the average force exerted on the 1M cart compare to the 3.5M cart?
v. Which cart will experience the greater impulse? Explain
vi. Is the student correct or incorrect?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F730ef53a-a27a-4d62-897c-a16fbe841eab%2Fe476a3ef-7181-4270-8c7c-b2b617e486da%2Fj27a5c2_processed.jpeg&w=3840&q=75)
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