Yes I think so because F=P*A which you need to change P into density which gives ρgz. Also the pressure is always changing with the depth you cannot use the fixed area so you need the change in height times the length.
Thanks for all your help!
Ok thanks!
I'm still a little confused though...So p(z)A is the force right? And if you were to integrate this: p(z)wh = p(z)wdz you would get p(z)wz from 25 to 0?
Ok thanks! So pressure would be ρgh=(1000)(9.8)(25)= 2.45*105 Pa
then you could use the equation p=F/A to find F but this would give you 6.125*108 N which is double than the actual answer of 3.1*108 N
1. Homework Statement
A dam is made which is rectangular and flat in profile. It is a depth of 25m and a width of 100m and holds back fresh water which has a density of 1000 kg m3 .
What is the total force that the water exerts on the dam?
2. Homework Equations
F=ρA
|dF|=pdA
d/dz p=-ρg
3...
I'm not really sure.... it was on a sheet my professor handed out it's suppose to be a parametrization for the volume or something it should have actually have been written as V(T)≈(1+β(Δt))V0
1. Homework Statement
An object has a density of 1250 kg /m3 at 10◦C and a coefficient of linear expansion of α = 2.5 × 10−5 1 /K . What is the object’s density when the temperature is 25◦C?
2. Homework Equations
V=βV0ΔT
V(T)=(1+β(Δt))V0
3. The Attempt at a Solution
How I got the answer...
Pressure would increase with depth.
So p=g*h*density
=9.81*1000*0.119=
1163 Pa
Then for the next part the the force is equal to pressure times area which would equal 1163 Pa * (0.119m)2=16.4 N
Then for finding the tension in the rope... The correct answer is 32.8 N what do you double the...
[QUO TE="uselesslemma, post: 5061484, member: 542831"]Did you try expressing the volume expansion formula in terms of ρ instead of V? You should find a result that is independent of the object's mass.
Ok so you go....
V=3αVΔT
=3αΔTM/ρ
=3(2.5*10-5)(298-283)M/1250
=9.0*10-7M
Am I on the right...
Ok thanks! So you could use the equation β=3α and then use the volume expansion formula. The equation that relates density to volume is ρ=M/V... but you don;t know what the mass is.
A 5.0 kg cube of metal has a density of 3000 kg m3 and is held by a vertical string while immersed in water which has a density of 1000 kg m3 . Assume that the cube is oriented so that all the faces are either vertical or horizontal.
1. What is the difference in pressure between the top of the...
An object has a density of 1250 kg m3 at 10◦C and a coefficient of linear expansion of α = 2.5 × 10−5 1 /K . What is the object’s density when the temperature is 25◦C?
I have tried using the equation ΔL=αL° ΔT but this equation has nothing to do with density.
the answer should be: 1248.6
Your...