AP Physics Summer Assignment Question

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The discussion revolves around simplifying the expression for the period Ts in a physics problem. The correct formulation is clarified as Ts=2π√(4.5*10^-2 kg / (2.0*10^3 kg/s²)). Participants emphasize the importance of using parentheses for clarity and suggest working through the numbers and units separately. One user expresses gratitude for previous assistance that helped them understand the problem better. The conversation highlights the collaborative nature of learning physics and the value of community support.
NoIdea2015
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Homework Statement


Ts=2π√4.5*10-2kg/2.0*103kg/s2

Homework Equations

The Attempt at a Solution


I just started Physics Yesterday and have no idea what to do.
 
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That's not a problem statement.
 
NoIdea2015 said:

Homework Statement


Ts=2π√4.5*10-2kg/2.0*103kg/s2

Homework Equations

The Attempt at a Solution


I just started Physics Yesterday and have no idea what to do.
I assume you are trying ro simplify the expression.
First, let's make the expression correct by using parentheses. I believe it should read Ts=2π√(4.5*10-2kg/(2.0*103kg/s2)).
Or more clearly, ##2\pi\sqrt{\frac{4.5 *10^{-2}kg}{2 *10^3 kg s^{-2}}}##.
You can work with the numbers and the units separately. For the units it reduces to √(kg/(kg s-2)). Can you see how to simplify that?
 
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@haruspex I am probably so late to this response that it might be a little silly to respond, but I feel as if I have to thank you because your answer, all those months ago, helped me realize what I was supposed to being doing. I honestly meant to respond soon after you posted but it somehow slipped my mind. Better late than never, right?
 
NoIdea2015 said:
@haruspex I am probably so late to this response that it might be a little silly to respond, but I feel as if I have to thank you because your answer, all those months ago, helped me realize what I was supposed to being doing. I honestly meant to respond soon after you posted but it somehow slipped my mind. Better late than never, right?
Thanks for letting me know. It's nice to know I helped.
 
Stay gold, haruspex. Stay gold.
 
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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