Calculate Elongation of Spring Given K, Mass & Density

AI Thread Summary
To calculate the elongation of a spring given the spring constant (K) of 119 N/m and a mass of 4.17 kg, the relevant equation is F = -kx, where F is the force exerted by the mass due to gravity. The force can be determined using F = mg, where m is the mass and g is the acceleration due to gravity (approximately 9.81 m/s²). The elongation (x) can then be calculated by rearranging the equation to x = F/-k. The density of the wooden block is not necessary for this calculation. Understanding these equations will help in solving for the elongation of the spring.
dban33
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Homework Statement


How do I find the elongation of a spring when just given K=119 N/m, mass of the wooden block it is attached to=4.17kg and the densty of the wooden block = 695 kg/m^3.


Homework Equations


I do not know what equation to use.


The Attempt at a Solution


I have not been able to make an attempt because I do not know what equation to start off with.
 
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dban33 said:

Homework Statement


How do I find the elongation of a spring when just given K=119 N/m, mass of the wooden block it is attached to=4.17kg and the densty of the wooden block = 695 kg/m^3.


Homework Equations


I do not know what equation to use.


The Attempt at a Solution


I have not been able to make an attempt because I do not know what equation to start off with.

You had the correct equation the first time you posted the question.

dban33 said:

Homework Equations


The equation I was trying to use was Fx=-kx
I do not think this is correct because my answer was wrong.

I'm curious why you multiplied 4.17 by 695?
 
Well I am trying to find the elongation of the spring. So the correct equation is F=-kx?
Does that mean that I change it to solve for x?? x= F/-k
I do not kno how to find the force for the equation if I only have the mass and density of the wooden block the string is attached to. I am completely lost!
 
dban33 said:
Well I am trying to find the elongation of the spring. So the correct equation is F=-kx?
Does that mean that I change it to solve for x?? x= F/-k
I do not kno how to find the force for the equation if I only have the mass and density of the wooden block the string is attached to. I am completely lost!

The density of the wooden block has nothing to do with this problem.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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