How many drops per second keeps the protagonist awake? answer check

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Homework Help Overview

The problem involves a physics scenario where a character in a novel is kept awake by drops from a leaky faucet. The setup includes a specific height from the faucet to the sink and the timing of the drops as they fall.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the timing of the drops and the relationship between the height of the faucet and the rate at which drops fall. There are mentions of unit labeling and dimensional analysis related to the calculations.

Discussion Status

The discussion includes feedback on unit labeling errors that do not affect the final result. Participants are exploring the implications of these errors and how they relate to the overall understanding of the problem.

Contextual Notes

There are indications of potential confusion regarding unit conversions and the dimensions involved in the calculations, which are being examined in the context of the problem.

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Homework Statement



Your roommate is an aspiring novelist and asks your opinion on a matter of physics. The novel's central character is kept awake at night by a leaky faucet. The sink is 19.6cm below the faucet. At the instant one drop leaves the faucet, another strikes the sink below and two more are in between on the way down. How many drops per second are keeping the protagonist awake?

Homework Equations



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The Attempt at a Solution



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You had a couple of slips in labeling units correctly, but that did not affect the final result, which is correct.
 
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voko said:
You had a couple of slips in labeling units correctly, but that did not affect the final result, which is correct.

Like where 980ms^-2 should be 980cms^-2.
 
That is one.

Another is where you calculate how many frames you have in one second. Obviously, the dimension of that is s-1.
 

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