How Far Will the Spring Compress When a 1.5kg Object Is Dropped?

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Homework Help Overview

The discussion revolves around a physics problem involving a 1.5kg object dropped onto a spring with a force constant of 320N/m. Participants are exploring the mechanics of energy conservation in the context of spring compression.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply conservation of energy principles using the equation mgh=0.5kx^2, but encounters discrepancies with the expected answer. They later modify their approach to mg(h+x)=0.5kx^2 and seek clarification on the correctness of this method.

Discussion Status

Participants are engaged in verifying the original poster's approach and discussing the differences between their calculations and the book's answer. There is acknowledgment of a potential source of error related to the value of g used in calculations.

Contextual Notes

There is mention of differing values for gravitational acceleration (g=10 vs. g=9.81), which may affect the calculations and results presented in the book.

semc
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A 1.5kg object is held 1.2m above a spring with force constant 320N/m. The object is dropped on the spring how far does the object compress the spring?

Alright so what i did was mgh=0.5kx^2 but the answer is different from the book. I guess is when the object touches the spring, its exerting a force downward to the spring due to gravity so i tried mg(h+x)=0.5kx^2 and solve the equation however this is wrong again...Can someone tell me what's wrong?
 
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semc said:
...so i tried mg(h+x)=0.5kx^2 and solve the equation however this is wrong again...Can someone tell me what's wrong?
That should work just fine. (It's a conservation of energy problem.) Why do you say it's wrong?
 


So you mean my second attempt is correct? Well, the answer i got is different from the one in my book.
 


semc said:
So you mean my second attempt is correct?
Yes.
Well, the answer i got is different from the one in my book.
Show what you did and what the book says.
 


Hey doc my bad. The book uses g=10 instead of 9.81 hence the difference sorry about that. Thanks man!
 

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