SHM: Planet Problem Homework Statement

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The discussion revolves around a physics homework problem involving the measurement of transverse wave speed in a string suspended from a lead weight on a newly discovered planet. The radius of the planet is given as 7.20 * 10^7 m, and the time for a pulse to travel the string is compared to that on Earth. Participants suggest analyzing the differences in wave speed due to varying gravitational forces on the new planet, which affects the tension in the string. There is an emphasis on identifying relevant physics principles and formulas to solve for the planet's mass based on the observed data. The conversation highlights the importance of understanding wave mechanics and gravitational effects in this context.
komarxian
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Homework Statement



You are exploring a newly discovered planet. The radius of the planet is 7.20 * 107 m. You suspend a lead weight from the lower end of a light string that is 4.00 m long and has mass 0.0280 kg. You measure that it takes 0.0685 s for a transverse pulse to travel from the lower end to the upper end of the string. On the earth, for the same string and lead weight, it takes 0.0390 s for a transverse pulse to travel the length of the string. The weight of the string is small enough that you ignore its effect on the tension in the string. Assuming that the mass of the planet is distributed with spherical symmetry, what is its mass?

Homework Equations

The Attempt at a Solution


I don't really know where to go with this? I was thinking something about comparing the radi of the planets, but I'm not sure??
 
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What result/formula do you know for the speed of a transverse wave on a string? The speed of the wave is different in the new planet than at earth, because in the new planet the weight of the lead and hence the tension of the string (those two forces will be approximately equal during the experiment) is different.
 
komarxian said:
I don't really know where to go with this?
When you don't know where to start with a problem, try listing all the physics principles that you can recognize being involved in the problem statement. Then list any formulas involved with that physics. That should give you some clues as to how to move forward.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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