All categories

2 years ago

PLEASE read this carefully.

1 answer:

5 0

For each of the given scenarios and based on the volume, mass, and density of the spheres, the water level is given as follows:

Scenario 1: The water level will rise; r

Scenario 2: The water level may rise or fall; r or f

Scenario 3: The water level will fall; f

<h3>What is the relationship between volume, density, and mass of the objects?</h3>

The density, volume and mass of an object are related by the formula below:

Density = mass/volume

The rise in the level of fluid when an object is placed in that fluid depends on the weight, volume and density of that object.

This is given by Archimedes' principle which states that the upthrust acting on a body immersed fully or partially in a fluid, is equal to the weight of the fluid displaced.

Based on the above, the water level in each of the scenarios is described thus:

Scenario 1: The new sphere has a radius of r < r0 and a mass of m > m0.

The new has a smaller volume and a greater mass and density. The water level will rise.

Scenario 2: The new sphere has a mass of m > m0 and a density of ρ < ρ0.

The new sphere has a greater volume and will float. Therefore, the water level may rise or fall.

Scenario 3: The new sphere has a density of ρ < ρ0 and a radius of r > r0.

The new sphere has a greater volume but less mass. Therefore, the water level will fall.

In conclusion, the rise or fall of the water level in the container depends on the volume, mass, and density of the spheres.

Learn more about Archimedes principle at: brainly.com/question/775316

#SPJ1

You might be interested in

Five grams of sugar is dissolved in 50 grams of water what is the mass of the water

tangare [24]

The mass of the water with the sugar dissolved in it is 55 grams. This is because when you add the weight of the water, and the sugar that you added, it is 55.

7 0

3 years ago

Read 2 more answers

Lawson's criterion states that the product of ion density and confinement time must exceed a certain number before a break-even

LekaFEV [45]

According to Lawson's criterion, the outcome is determined by the product of ion density and confinement time because the temperature must be maintained for a sufficient confinement time and with a sufficient ion thickness to obtain a net gain of power from a fusion reaction.

<h3>What are Lawson's criterion?</h3>

The overall conditions that must be met in order to produce more energy than is required for plasma heating are usually expressed in terms of the product of ion density and confinement time, a condition known as Lawson's criterion.

In nuclear fusion devices, confinement time is defined as the amount of time the plasma is kept at a temperature above the critical ignition temperature.

Even at temperatures high enough to overcome the coulomb barrier to nuclear fusion, a critical density of ions must be maintained in order to achieve a net yield of energy from the reaction.

Because the density required for a net energy yield is correlated with the confinement time for hot plasma, the minimum condition for a productive fusion reaction is typically stated in terms of the product of ion density and confinement time, which is known as Lawson's criterion.

To learn more about Lawson's criterion, refer:

brainly.com/question/28303495

#SPJ4

7 0

1 year ago

A satellite is to be launched into an orbit of radius,r Show that v = 2gr, where V is the

Snezhnost [94]

Explanation:

We start by using the conservation law of energy:

$\Delta{K} + \Delta{U} = 0$

$\dfrac{1}{2}mv^2 - G\dfrac{mM}{r} = 0$

Simplifying the above equation, we get

$v^2 = 2G\dfrac{M}{r}$

We can rewrite this as

$v^2 = 2\left(G\dfrac{M}{r^2}\right)r$

Note that the expression inside the parenthesis is simply the acceleration due to gravity $g$ so we can write

$v^2 = 2gr$

where $v$ is the launch velocity.

6 0

3 years ago

You treat 9.540 g of the mixture with the acid and isolate 9.355 g of nacl. what is the weight percent of each substance in the

Mila [183]

The weight percentage of sodium carbonate in the mixture is = 67.71%

The weight percentage of sodium bicarbonate in the mixture is = 32.57%

<h3>What does "molar mass" ?</h3>

The total mass throughout grams of all the atoms needed to form a molecule per mole is what makes up the molar mass, also known as the molecular weight. Grams per mole is the unit measuring molar mass.

<h3>According to the given information:</h3>

The interaction between sodium carbonate and hydrochloric acid has the following equation:

Na₂CO₃ + HCl --> NaCl + CO₂ + H₂O

The reaction's balanced equation is,

Na₂CO₃ + 2HCl --> 2NaCl + CO₂ + H₂O -------(2).

When sodium hydrogen carbonate as well as hydrochloric acid react, the following equation results.

NaCO₃ + HCl --> NaCl + CO₂ + H₂O ----------------(3)

The Molar mass :

Na₂CO₃ = 106g/mol

NaCO₃ = 84g/mol

NaCl = 58.5g/mol

The mass of the mixture is Na₂CO₃/NaCO₃ = 9.540g

The molar masses of the constituent elements that make up the compounds are added to determine the molar weight of the substances. In both chemical equations (2) and (3), the unitary technique is employed to calculate the mass of the mixture based on the number of moles (3).

The mass of the sodium carbonate and sodium bicarbonate is calculated with the help of the mass of NaCl formed by the mixture of Na₂CO₃/NaCO₃ with HCl.

The mixture has the following percentage of sodium carbonate:

% of Na₂CO₃ = $\frac{x \times 106}{9.540} \times 100\\$

$=\frac{0.061 \times 106}{9.540} \times 100$

= (6.46/9.540)*100

= 67.71%

The weight percentage of sodium carbonate in the mixture is = 67.71%

The mixture has the following percentage of NaHCO3:

% of NaHCO₃ = $\frac{y \times 84}{9.540} \times 100$

= $=\frac{0.037 \times 84}{9.540} \times 100$

= (3.108/9.540)*100

= 32.57%

The weight percentage of sodium bicarbonate in the mixture is = 32.57%

To know more about molar mass visit:

brainly.com/question/12127540

#SPJ4

I understand that the question you are looking for is:

A mixture of sodium carbonate and sodium hydrogen carbonate is treated with aqueous hydrochloric acid. the unbalanced equations for the resulting's reactions are:

Na2CO3 (s) + HCl (aq) --> NaCl (aq) + CO2(g) + H2O (l)

NaHCO3(s) + HCl (aq) --> NaCl (aq) + CO2(g) + H2O (l)

You treat 9.540g of Na2CO3/NaHCO3 mixture with an excess of aqueous HCl and isolate 9.355g of NaCl. What is the weight percent of each substance in the mixture?

5 0

1 year ago

Reciprocal liking is adaptive because it lowers the risk of relationship rejection.

Mila [183]

I believe that the statement above is TRUE. I can say that it's true because based on the definition of what reciprocal liking is, this is the probability of having to like someone who also likes them in return. Therefore, if they like each other, this means that there is a low risk of rejection in the relationship.

6 0

3 years ago

Read 2 more answers