What fraction of an iceberg is submerged? (ρice = 917 kg/m3, ,ρsea = 1030 kg/m3.)

What Fraction Of An Iceberg Is Submerged? (ice = 917 Kg/m3, ,sea = 1030 Kg/m3.)

Answers

Answer 1

Answer:

Choice d. Approximately [tex]89\%[/tex] of the volume of this iceberg would be submerged.

Explanation:

Let [tex]V_\text{ice}[/tex] denote the total volume of this iceberg. Let [tex]V_\text{submerged}[/tex] denote the volume of the portion that is under the liquid.

The mass of that iceberg would be [tex]\rho_\text{ice} \cdot V_\text{ice}[/tex]. Let [tex]g[/tex] denote the gravitational field strength ([tex]g \approx 9.81\; \rm N \cdot kg^{-1}[/tex] near the surface of the earth.) The weight of that iceberg would be: [tex]\rho_\text{ice} \cdot V_\text{ice} \cdot g[/tex].

If the iceberg is going to be lifted out of the sea, it would take water with volume [tex]V_\text{submerged}[/tex] to fill the space that the iceberg has previously taken. The mass of that much sea water would be [tex]\rho_\text{sea} \cdot V_\text{submerged}[/tex].

Archimedes' Principle suggests that the weight of that much water will be exactly equal to the buoyancy on the iceberg. By Archimedes' Principle:

[tex]\text{buoyancy} = \rho_\text{sea} \cdot V_\text{submerged} \cdot g[/tex].

The buoyancy on the iceberg should balance the weight of this iceberg. In other words:

[tex]\underbrace{\rho_\text{ice} \cdot V_\text{ice} \cdot g}_\text{weight of iceberg} = \underbrace{\rho_\text{sea} \cdot V_\text{submerged} \cdot g}_\text{buoyancy on iceberg}[/tex].

Rearrange this equation to find the ratio between [tex]V_\text{submerged}[/tex] and [tex]V_\text{ice}[/tex]:

[tex]\begin{aligned} &\frac{V_\text{submerged}}{V_\text{ice}} \\&= \frac{\rho_\text{ice} \cdot g}{\rho_\text{sea} \cdot g}\\ &= \frac{\rho_\text{ice}}{\rho_\text{sea}}\ = \frac{917\; \rm kg \cdot m^{-3}}{1030\; \rm kg \cdot m^{-3}} \approx 0.89 \end{aligned}[/tex].

In other words, [tex]89\%[/tex] of the volume of this iceberg would have been submerged for buoyancy to balance the weight of this iceberg.


Related Questions

Which wave has high enough energy to cause damage to skin and sometimes cancer?

Answers

Answer: All UV can have harmful effects on biological matter (such as causing cancers) with the highest energies causing the most damage.

Explanation:

Which of the graphs describes the motion of a person who first rode her bicycle at constant speed and then rested?

Answers

Answer:

Its graph 1

Explanation:

She started at the origin and kept riding her bike until she stopped which causes the line to go staright because she's not moving.

HELP PLEASE I WILL MARK BRAINLIEST

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Answer:

Acceleration.

Explanation:

Seems like u don't have time for a explanation. :

Answer:

A. Displacement

A hollow aluminum sphere with outer diameter 10.4 cm has a mass of 746 g .What is the sphere's inner diameter?Express your answer with the appropriate units.Din=

Answers

Answer: the sphere's inner radius is 4.21 cm so the Inner diameter is 8.42 cm

Explanation:

Given that;

mass m = 746 g

diameter d = 10.4 cm

radius r = 5.2 cm

density of aluminum = 2.7 g/cm³

we know that

density × volume = mass

P × 4/3π( r₀³ - ri³) = m

so we substitute

2.7 × 4/3π( 5.2³ - ri³) = 746

11.3097( 5.2³ - ri³) = 746

( 5.2³ - ri³) = 746/11.3097

140.608 - ri³ = 65.961

ri³ = 140.608 - 65.961

ri³ = 74.647

ri = ∛74.647

ri =  4.21 cm

the sphere's inner radius is 4.21 cm so the Inner diameter is 8.42 cm

The inner diameter of the aluminum sphere is 8.42 cm.

The given parameters;

outer diameter of the sphere, d₀ = 10.4 cm mass of the sphere, m = 746 gdensity of aluminum, ρ = 2.7 g/cm³

The volume of the aluminum sphere is calculated as follows;

[tex]volume = \frac{mass}{density} \\\\volume = \frac{746}{2.7} \\\\volume = 276.3 \ cm^3[/tex]

The volume of the sphere from the given outer and inner diameter is calculated as;

[tex]V = \frac{4}{3}\pi r^3\\\\V = \frac{4}{3}\pi \times \frac{d^3}{8} \\\\V = \frac{1}{6} \pi d^3\\\\V = \frac{1}{6} \pi (d_o^3 - d_i^3)\\\\d_o^3 - d_i^3 = \frac{6V}{\pi} \\\\d_i^3 = d_0^3 - \frac{6V}{\pi} \\\\d_i^3 = (10.4)^3 - \frac{6(276.3)}{\pi} \\\\d_i^3 = 597.23\\\\d_i = \sqrt[3]{597.23} \\\\d_i = 8.42 \ cm[/tex]

Thus, the inner diameter of the aluminum sphere is 8.42 cm.

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which of the following could be cause of a irregular systolic reading



1. The one-way valves are not working
2 Blood is not flowing properly from the veins to the heart
3 Carbon dioxide and oxygen are mixing in the blood
4. The left ventricle is having difficulty contracting

Answers

Maybe number 4 could help.

Find the object's positions x1 , x2 , x3 , and x4 at times t1=2.0s , t2=4.0s , t3=13s , and t4=17s .

Answers

Answer:

Explanation:

x₁(2.0) = 4 m

x₂(4.0) = 7 m

x₃(13) = 9 m

x₄(17) = 0 m

a sphere with a radius of 8cm carries a uniform volume charge density of 1.5 find the magnitude of the electric field

Answers

Answer:

E = 5.65 x 10¹⁰ N/C

Explanation:

First we need to find the total charge on the sphere. So, we use the following formula for that purpose:

[tex]q = \sigma V\\[/tex]

where,

q = total charge on sphere

V = Volume of Sphere = [tex]\frac{4}{3} \pi r^3 = \frac{4}{3} \pi (0.08\ m)^3 = 0.335\ m^3[/tex]

σ = volume charge density = 1.5 C/m³

Therefore,

[tex]q = (0.335\ m^3)(1.5\ C/m^3) \\q = 0.502 C[/tex]

Now, we use the following formula to find the electric field due to this charged sphere:

[tex]E = \frac{kq}{r^2}[/tex]

where.

E  = Electric Field Magnitude = ?

k = Coulomb's Constant = 9 x 10⁹ N.m²/C²

r = radius of sphere = 8 cm = 0.08 m

Therefore,

[tex]E = \frac{(9\ x\ 10^9\ Nm^2/C^2)(0.502 C)}{(0.08\ m)^2}\\\\[/tex]

E = 5.65 x 10¹⁰ N/C

I really need help with this

Answers

Answer: i've done the same thing before kinda but anyway use this website that was recommended to me by a teacher https://www.britannica.com/science/mica (i got an A btw)

A powerful missile reaches a speed of 5 kilometers per second in 10 seconds after its launch. What is the average acceleration of the missile during this period?

A. 0.2 meters/second2
B. 0.4 centimeters/second2
C. 0.5 meters/second2
D. 0.5 kilometers/second2

Answers

Answer:

D option

Explanation:

please mark me brainliest and 5 star

Answer:

D. 0.5 km/s2

Explanation:

the distance between my home to school is 3 km and 240 m. what is the distance in km,m and dm​

Answers

Answer:

km = 3.24

m = 3,240

dm = 32,400

Explanation:

km = 1000m

m = 10dm

Explanation:

take a look carefully hope it will help u

Elizabeth was a brilliant lawyer until she began hearing voices and seeing things that are not there. She also has trouble with her thought processes and making sense in her speech. She is suffering from:
A. fugue
B. schizophrenia
C. anxiety
D. dissociation

Answers

answer is B. Schizophrenia

Answer:

B) Schizophrenia

Explanation:

Hope this helps!

Three people are trying to move a box. Which set of forces will result in a net
force on the box of 20 N to the right?
A.
B.
O C.
O D.
18 N
55 N
55 N
6 N
← PREVIOUS
1₂
28 N
16 N 17 N
0
10 N
17 N
$
16 N
-
20 N
6 N



Correct answer is A

Answers

Answer:

A

Explanation:

18-28=10

10+10=20

20N to the right

PLZZZ I will give brainliest. A ball that contains mechanical energy is rolled across the floor. You notice the ball is slowing down. If the ball started with 20 units of energy, explain how much energy would there be when the ball comes to a complete stop? How can you tell?

Answers

Answer: because of friction it will stop rolling completly

Explanation:

Consider the vector below. Determine its length and direction. Vector: 2i+11j+5k2i+11j+5k Magnitude: Direction (unitized):

Answers

Answer:

Magnitude: [tex]\|\vec v\| = 5\sqrt{6}[/tex], Direction (unitized): [tex]\vec u = \frac{\sqrt{6}}{6}\,\hat{i} + \frac{11\sqrt{6}}{12}\,\hat{j}+\frac{5\sqrt{6}}{12}\,\hat{k}[/tex]

Explanation:

Let [tex]\vec v = a\,\hat{i}+b\,\hat{j}+c\,\hat{k}[/tex]. The magnitude of the vector is represented by the Pythagorean formula:

[tex]\|\vec v\| = \sqrt{a^{2}+b^{2}+c^{3}}[/tex] (1)

And the direction is represented by the direction cosines, measured in sexagesimal degrees, that is:

[tex]\theta_{x} = \cos^{-1} \frac{a}{\|\vec v\|}[/tex] (2)

[tex]\theta_{y} = \cos^{-1} \frac{b}{\|\vec v\|}[/tex] (3)

[tex]\theta_{z} = \cos^{-1}\frac{c}{\|\vec v\|}[/tex] (4)

If we know that [tex]a = 2[/tex], [tex]b = 11[/tex] and [tex]c = 5[/tex], then the magnitude and directions of the vector are, respectively:

[tex]\|\vec v\| = \sqrt{2^{2}+11^{2}+5^{2}}[/tex]

[tex]\|\vec v\| = 5\sqrt{6}[/tex]

The direction can be represented by the following unit vector:

[tex]\vec u = \frac{\vec v}{\|\vec v\|}[/tex] (5)

[tex]\vec u = \frac{2\,\hat{i}+11\,\hat{j}+5\,\hat{k}}{2\sqrt{6}}[/tex]

[tex]\vec u = \frac{\sqrt{6}}{6}\,\hat{i} + \frac{11\sqrt{6}}{12}\,\hat{j}+\frac{5\sqrt{6}}{12}\,\hat{k}[/tex]

A 35 kg child goes down a playground that is inclined at an angle of 27.5 degrees above the horizontal. Find the acceleration if the child given that the coefficent of kinetic friction between the child and the slide is 0.415.

Answers

Answer:

4.16m/s²

Explanation:

According to Newtons second law;

[tex]\sum Fx = ma_x\\Fm - Ff = ma_x\\W sin\theta - \mu R cos \theta = ma_x\\mg sin\theta - \mu mg cos\theta = ma_x\\[/tex]

Fm is the moving force

[tex]\mu[/tex] is  the coefficient of kinetic friction between the child and the slide

m is the mass

g is the acceleration due to gravity

a is the acceleration of the child

Substitute the given values and get the acceleration as shown;

35(9.8)sin27.5 - 0.415(35)(cos27.5) = 35a

158.38-12.88 = 35a

145.49 = 35a

a = 145.49/35

a = 4.16m/s²

Hence the acceleration of the body is  4.16m/s²

If a mass of an object is 20 kg on earth, so what will be its weight?

Answers

Answer:

200 Newton

Explanation:

Weight is the force with which earth pulls the object.

W = M× g

where m is mass and g is acceleration due to gravity whose value is approximately 10 Newton

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An 877 kg drag race car accelerates from rest to 116 km/h in 0.951 s. What change in momentum does the force produce? Answer in units of kg. m/s.​

Answers

Answer:

The change in momentum is 28265.71  kg-m/s.

Explanation:

Given that,

Mass of a car, m = 877 kg

Initial velocity of the car, u = 0 (at rest)

Final velocity of the car, v = 116 km/h = 32.23 m/s

Time, t = 0.951 s

We need to find the change in momentum produced by the force. It can be calculated as the difference of final momentum and the initial momentum.

[tex]\Delta P=m(v-u)\\\\=877\times (32.23-0)\\\\=28265.71\ kg-m/s[/tex]

So, the change in momentum is 28265.71  kg-m/s.

A light ray passing from medium 1 to medium 2 is bent away from the perpendicular normal to the boundary surface. What happens to the velocity of the refracted wave as it enters medium 2?


The velocity increases.


The velocity decreases.


The velocity becomes zero.


The velocity does not change.

Answers

Answer:

The answer is a for Plato users.

Explanation:

Since the angle of the refracted ray moves away from the normal, it must be traveling in a faster medium.

Answer: Velocity Increases

Explanation: Plato

The time taken by a mass projected vertically
upwards to reach the maximum height (with air
resistance not neglected) is 10 sec. The time of
descent of the mass from the same height will be​

Answers

Answer:

10s

Explanation:

The time to get to the maximum would be the same as the time to get down to the maximum unless somehow gravity’s changes during the duration it goes up to and from maximum height.

What will happen to the ice cubes in the two spoons? How will they be different?

Answers

Answer: the ice cube to melt more quickly on the metal block than on the wooden block.

Explanation:

which two processes will be involved as this chick grows into a chicken ​

Answers

Answer:

CELL DIVISION THAT INVOLVES MITOSIS AND CELL GROWTH DUE TO TAKING IN NUTRIENTS

Explanation:

Answer: Cell growth due to taking in nutrients and Cell growth due to fertilization​.

Explanation:

What do scientists do? A. They use their knowledge to make public policy. B. They make ethical decisions for the government. C. They gather evidence to help answer questions. D. They discover as many facts as they can.​

Answers

Answer:

Explanation:

C

Suppose that a certain fortunate person has a net worth of $73.0 billion 7.30x10¹9). If her stock has a good year and gains $3.20 billion (3.20 x 109) in value, what is her new net worth? Express your answer to three significant figures.

Answers

Answer:

76.2 billion

Explanation:

73.0 + 3.20 billion = 76.2 billion

Which event is an example of condensation?
• A. A spilled drop of rubbing alcohol disappears.
O B. Fog forms in a valley.
• C. A puddle dries when exposed to the Sun.
D. A lake becomes a skating rink in the winter.

Correct answer B

Answers

Answer:

B. Fog forms in a valley.

Explanation:

If a radio wave has speed 3.00 *10^8 m/s and frequency 94.7 MHz, what is its wavelength? ​

Answers

[tex]We \: know \: that, \: c = λv \\ thus \: \: λ = \frac{c}{v} = \frac{3 \times {10}^{8} \: m {s}^{ - 1} }{94.7 \times {10}^{6} } \\ = 3.16789863≈3.17 \: m[/tex]

Hope this helps :)

Use the illustration below to answer Question #2:

The color spectrum above shows the wavelength range for each color of light. Based on this information, which statement about the colors at each end is true? (AKS 9a, DOK 1)

Red has the longest wavelength and the lowest frequency
Red has the shortest wavelength and the lowest frequency
Violet has the longest wavelength and the lowest frequency
Violet has the shortest wavelength and the lowest freq

Answers

Violet has the shortest wavelength and the lowest frequency.

When the entire spectrum of red visible light passes through a prism the wavelengths are separated into the colors of the rainbow because each color is a different wavelength. Violet has the shortest wavelength at about 380 nanometers and red has the longest wavelength at about 700 nanometers.

Visible light travels at 300,000 km/s and can be separated into 7 colors. From the longest wavelength, they are red, orange yellow green blue indigo, and violet. To clarify color is the eye's perception of different wavelengths of electromagnetic light. When it comes to visible light, the color with the highest frequency violet also has the highest energy. The lowest frequency of visible light red has the lowest energy.

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A cheetah can run at a maximum speed
106 km/h and a gazelle can run at a maxi-
mum speed of 75.6 km/h.
If both animals are running at full speed,
with the gazelle 63.4 m ahead, how long before
the cheetah catches its prey?
Answer in units of s.

Answers

Answer:

Cheetah speed:

Its position at time t is given by

(1)

Gazelle speed:

the gazelle starts S0=96.8 m ahead, therefore its position at time t is given by

(2)

The cheetah reaches the gazelle when . Therefore, equalizing (1) and (2) and solving for t, we find the time the cheetah needs to catch the gazelle:

(2) To solve the problem, we have to calculate the distance that the two animals can cover in t=7.5 s.

Cheetah:

Gazelle:

So, the gazelle should be ahead of the cheetah of at least

Explanation: try these steps to answer

A solid disc is rolling without slipping at constant speed on a horizontal surface. What is the ratio of its rotational kinetic energy to its translational kinetic energy

Answers

Answer:

2/7

Explanation:

The Rotational Kinetic Energy is given as RKE = 1/2 * I * w², where

w = v/R and

I = 2/5mR²

The Translational Kinetic Energy is given as TKE = 1/2 * m * v²

RKE = 1/2 * 2/5mR² * (v/R)²

RKE = 1/2 * 2/5mR² * v²/R²

RKE = 1/5mv²

To get the ratio, we use the relation

RKE / (TKE + RKE)

and thus, we have

1/5mv² / (1/2mv² + 1/5mv²)

1/5mv² / 7/10mv²

1/5 ÷ 7/10

1/5 * 10/7

2/7

Therefore, the ratio of RKE to TKE is 2/7

what is the frequency of a wave traveling at 340 m/s with a wavelength of 125 m

Answers

Answer:

I think it's really cool

As the shuttle bus comes to a sudden stop to avoid hitting a dog. It accelerates unfirmly at -4.1m/s^2 as it slow down from 9.0m/s to 0.0m/s. Find the interval of acceleration for the bus

Answers

The interval of acceleration of the bus will be 2.19 seconds.

What is acceleration?

An object is considered to have been accelerated if its velocity changes. Depending on whether an object is moving faster, slower, or in a different direction, its velocity may change.

Examples of acceleration include a falling apple, the moon orbiting the earth, and a car that has stopped at a stop sign. These examples demonstrate how acceleration occurs whenever a moving object modifies its direction, speed, or both.

Acceleration is a vector quantity.

SI unit of acceleration is m/s.

According to the question, the given values are :

Acceleration, a=-4.1 m/s²

Initial velocity, u=9.0 m/s and,

Final velocity, v=0 m/s

By using Equation of motion, i.e.,

v=u+at

⇒0 m/s=9m/s+(-4.1 m/s²)(t)

⇒-9 m/s=-4.1 m/s²×t

t=(-9 m/s)/(-4.1 m/s²)

t= 2.19 seconds.

Hence, the time interval of acceleration of the bus will be 2.19 seconds.

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