Calculate Tension in String Supporting Copper Block

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To calculate the tension in the string supporting a 1 kg copper block immersed in water, one must consider both the weight of the block and the buoyant force acting on it. The weight can be determined using the mass and gravitational acceleration, while the buoyant force requires calculating the volume of the block using its density. The volume can be found by rearranging the density formula, V = mass/density. Participants emphasized the importance of using units correctly throughout the calculations to ensure accuracy. Understanding these components is crucial for solving the problem effectively.
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Homework Statement



a string supports a solid copper block off mass 1kg(density= 9*103 kgm3) which is completely immersed in water ( density= 1*103kgm3). calc the tension in the string.

Homework Equations



don`t know

The Attempt at a Solution



no clue.
 
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luckyme said:
no clue.

luckyme, we do not do your work for you here on the PF. We can offer tutorial assistance, but you *must* attempt to do the work first. Your other threads with no attempts at working the problems have been deleted. You may re-post them if you show some work.

Now, what are the two components that go into the tension on the string? The weight of the block (in air), and what?
 
the question doesn't say abt surface area. would you work out the upthrust first . don't know volume of water either, don't undstand the componetns.
 
luckyme said:
the question doesn't say abt surface area. would you work out the upthrust first . don't know volume of water either, don't undstand the componetns.

You are given the mass and density of the block. How would you use those to calculate the volume of the block? Use the units to keep your calculation straight.
 
maybe divide by a cubic meter.
 
luckyme said:
maybe divide by a cubic meter.

Don't guess. Use the quantities given, and look at their units. Carry the units along in your calculations along with the numbers, to be sure that you are doing the correct things to get the answer you want.

The units of mass are kg.

The units of density are kg/m^3.

The units of volume are m^3.

What equation could you write to get the volume from the density and mass?

V = ? / ?
 
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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