Solved: Calculate Force from Spring Constant & Rod Length

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    Hookes law Law
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To calculate the force needed to stretch a steel rod using Hooke's Law, the formula F = kx is applied, where k is the spring constant and x is the distance stretched. Given a spring constant of 2.1 x 10^6 N/m and a stretch of 0.001 m, the force can be calculated directly by plugging in these values. The discussion emphasizes that understanding the relationship between the variables is key to solving the problem. Participants confirm that with the provided values, calculating the force is straightforward. The focus remains on correctly applying the formula to derive the solution.
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Homework Statement



given a spring constant of 2.1 x 10^6 N/m, calculate the amount of force needed to stretch a steel rod 0.001m

Homework Equations



f=kx

The Attempt at a Solution



dont know
 
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its plug and chug problem... you can't do it ? k and x is given...find f
 
Hookes law states that the force required to stretch/compress a spring is proportional the the distance it stretches. That is where F = kx comes from, since the proportionality statement implies that they differ by a constant. If the constant k was 1, the force would equal the distance and so on. You are given k (the coefficient of proportionality aka spring constant) and x the distance, you simply need to solve for the force right?
 
QuarkCharmer said:
Hookes law states that the force required to stretch/compress a spring is proportional the the distance it stretches. That is where F = kx comes from, since the proportionality statement implies that they differ by a constant. If the constant k was 1, the force would equal the distance and so on. You are given k (the coefficient of proportionality aka spring constant) and x the distance, you simply need to solve for the force right?

correct but idk
 
Let's say A = b*c

b = 10
c = 10

What is A equal to?
 
Given a value for k, and a value for x, can you calculate f ?
 
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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