Optimizing MCAT Physics: Understanding Oscillation with Two Springs

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Two springs with equal masses but different spring constants oscillate with the same amplitude, leading to a discussion on their respective properties. The spring with the larger spring constant has a higher frequency and, consequently, a higher maximum velocity, while the amplitude remains constant for both springs. There is confusion regarding the terms "displacement" and "amplitude," with some participants questioning if they are interchangeable. The consensus leans towards option A being correct, as a larger spring constant results in a higher frequency, which influences maximum velocity. The discussion emphasizes the importance of understanding the relationships between spring constants, frequency, and velocity in oscillatory motion.
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Two springs with equal masses attached but with different spring constants (k) oscillate with the same amplitude. The spring with the larger spring constant (k) has:

a. a higher maximum velocity
b. a larger maximum displacement
c. a lower total energy
d. a lower frequency of oscillation
e. a longer period of oscillationI'm pretty certain that it is not C, D, E based on the equations for both period and frequency and the formula for Potential Energy = 1/2 kx^2

I think it is between A and B. Please help :) thank you!
 
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jehan4141 said:
Two springs with equal masses attached but with different spring constants (k) oscillate with the same amplitude. The spring with the larger spring constant (k) has:

a. a higher maximum velocity
b. a larger maximum displacement
c. a lower total energy
d. a lower frequency of oscillation
e. a longer period of oscillation


I'm pretty certain that it is not C, D, E based on the equations for both period and frequency and the formula for Potential Energy = 1/2 kx^2

I think it is between A and B. Please help :) thank you!

Welcome to the PF.

Is there a difference between "displacement" and "amplitude"?
 
What's another name for maximum displacement? Does the term appear in the question statement?
 
I am unsure if there is a difference.. :( There is no further clarification.

I have a feeling that it could be A based on the fact that, the larger the spring constant (k), the larger the frequency --> f = (1/2pi)(sqrt k/m)If you plug in a large frequency into the equation velocity = frequency x wavelength, you get a higher velocity. However, the thing is, you can only change the velocity of a wave by changing the medium that the wave propagates through. Since we are using 2 different springs, with 2 different spring constants, does this mean we have different mediums? Because that would make A the answer I believe.

THANK YOU FOR THE WARM WELCOME...this message board is awesome!
 
oh and, I know that amplitude has NO EFFECT on period if that helps?
 

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