in 1986, a gargantuan iceberg broke away from the ross ice shelf in antarctica. it was approximately a rectangle 165 km long, 40.0 km wide, and 250 m thick. (a) what is the mass of this iceberg in kg, given that the density of ice is 917 kg/m3? 1513050 kg (b) how much heat transfer (in joules) is needed to melt it? j (c) how many years would it take sunlight alone to melt ice this thick, if the ice absorbs an average of 120 w/m2, 11.00 h per day?
Answers
(a) The mass of this iceberg is 1513050 kg. (b) To melt this iceberg, it would require 1513050 kg x 334000 J/kg = 5.0 x 1018 J of heat transfer. (c) It would take 4.8 years for sunlight alone to melt this iceberg, given that the ice absorbs an average of 4.2 x 1011 years.
(a) The mass of the iceberg can be calculated using the formula: mass = density x volume. The volume of the iceberg can be calculated by multiplying its length, width, and thickness:
Volume = 165 km x 40.0 km x 250 m
= 1.3 x 1012 m3
Mass = 917 kg/m3 x 1.3 x 1012 m3
= 1.5 x 1015 kg
(b) To calculate the amount of heat transfer needed to melt the iceberg, we need to know the amount of energy required to melt a given mass of ice. This is known as the latent heat of fusion, which is 333.5 kJ/kg for ice.
Therefore, the amount of heat transfer needed to melt the iceberg is:
Heat Transfer = Latent Heat of Fusion x Mass
= 333.5 kJ/kg x 1.5 x 1015 kg
= 5.0 x 1018 J
(c) To calculate how many years it would take sunlight alone to melt the iceberg, we need to know the rate of solar energy absorption. Since the iceberg absorbs an average of 120 W/m2 and 11.00 h per day, we can calculate the rate of absorption as follows:
Rate of Absorption
= 120 W/m2 x 11.00 h/day x 24h/day x 365 days/year
= 11.9 x 106 J/m2/year
Therefore, the amount of time it would take for the sun to melt the iceberg is:
Time = Heat Transfer / Rate of Absorption
= 5.0 x 1018 J / 11.9 x 106 J/m2/year
= 4.2 x 1011 years
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Related Questions
A body of mass 10kg moves in a straight line on a frictionless horizontal, plane. At an instant in its path its speed is 12ms-¹ along the same direction. Assuming that the force acting on the block is constant, determine the value of this force and the change in its kinetic energy.
Answers
The value of the force acting on the 10kg body is 120N and the change in kinetic energy is zero.
Based on the equation F=ma where m=10kg and a=12ms-¹. The force acting on the block is constant as stated in the problem, thus the value of the force is the same throughout the motion.
The change in the body's kinetic energy can be determined using the equation KE=1/2mv², where KE is the kinetic energy, m is the mass of the body, and v is the velocity. The initial kinetic energy can be calculated as KE=1/2(10kg)(12ms-¹)²=720J. At any other point along the straight-line path, the kinetic energy can be calculated using the same formula. Since the plane is frictionless, there is no work done on the body, and the total energy of the body remains constant.
To summarize, the force acting on the body of mass 10kg is 120N and the change in kinetic energy is zero, since the total energy of the body remains constant along its straight line path on a frictionless horizontal plane.
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k-means clustering with k = 3 and Euclidean metric has been used
to cluster two-dimensional data. The cluster centroids are: k1 =
[-5, 3]; k2 = [1, 2]; k3 = [5, -3]. Perform a calculation, write it
do
Answers
K-means clustering is a process of grouping the items into k clusters based on their similarity. For k=3 and Euclidean metric, the items are grouped into 3 clusters: {-5, 3}, {1, 2}, and {5, -3}.
K-means clustering is an unsupervised machine learning algorithm used for grouping similar data. It is an iterative algorithm that works by finding the similarities between the data items and grouping them into k clusters. The similarity measure is calculated based on the distance metric used, in this case, Euclidean distance metric. The Euclidean distance metric calculates the distance between two points by taking the square root of the sum of the squares of the differences between their coordinates. The calculation for the given data set is shown below:Distance between (-5, 3) and (1, 2) = sqrt((1 - (-5))^2 + (2 - 3)^2) = sqrt(36 + 1) = sqrt(37)Distance between (-5, 3) and (5, -3) = sqrt((5 - (-5))^2 + ((-3) - 3)^2) = sqrt(100 + 36) = sqrt(136)Distance between (1, 2) and (5, -3) = sqrt((5 - 1)^2 + ((-3) - 2)^2) = sqrt(16 + 25) = sqrt(41)After the distances are calculated, the items are assigned to the cluster that has the minimum distance from them. In this case, the items are grouped into 3 clusters: {-5, 3}, {1, 2}, and {5, -3}.
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According to newton’s first law of motion, an object in motion will stay in at the same speed and direction unless acted upon by what kind of force?.
Answers
Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force. This tendency to resist changes in a state of motion is inertia.
A force is an effect that can alter an object's motion according to physics. When a mass-containing object increases its velocity, such as when it travels away from rest, a force can cause it to accelerate. A push or a pull is a straightforward method to explain force.
A force is a vector quantity since it has both magnitude and direction. It is calculated using the newton SI unit (N). Force is denoted by the letter F. (formerly P).
The net force acting on an object is equal to the rate at which its momentum changes over time, according to Newton's second law in its original formulation.
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if a planet is in a circular orbit 1 a.u. away from a black hole of 1 solar mass, it will...
Answers
If a planet is in a circular orbit 1 astronomical unit (AU) away from a black hole of 1 solar mass, it will experience a strong gravitational force due to the black hole's massive gravitational field.
The gravitational force exerted by the black hole on the planet will be balanced by the centrifugal force required to keep the planet in its circular orbit.
The speed of the planet in this orbit can be calculated using the formula:
v = √(GM/r)
where G is the gravitational constant, M is the mass of the black hole, and r is the distance of the planet from the black hole.
Plugging in the values, we get:
v = √((6.67 × 10^-11 m^3/kg s^2) × (1.99 × 10^30 kg) / (1.5 × 10^11 m))
v = 29.78 km/s
Therefore, the planet in this scenario would be orbiting the black hole at a speed of approximately 29.78 km/s.
It is important to note that at this distance, the planet is outside the event horizon of the black hole and is not in immediate danger of being swallowed by the black hole.
However, the strong gravitational field of the black hole will affect the planet's orbit and may cause it to process over time.
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An animal moves a distance of 160m in 40 seconds. Calculate the speed.
Answers
Answer:
To calculate the speed of the animal, we need to divide the distance it travels by the time it takes to travel that distance. In this case, the distance is 160 meters and the time is 40 seconds, so the speed is:
speed = distance / time = 160m / 40s = 4 m/s
This means that the animal was moving at a speed of 4 meters per second.
Explanation:
A satellite is orbiting Earth at a distance of 42.0 kilometers. The satellite has a mass of 900kilograms. What is the force between the planet and the satellite? Hint: Recall Earth's mass aradius from earlier problems.
Answers
Answer:
8716.97 N
Explanation:
The force between the planet and the satellite can be calculated using the following equation
\(F=G\frac{m_1m_2}{d^2}\)Where G = 6.67 x 10^(-11) N m²/kg², m1 is the mass of the satellite, m2 is the mass of the Earth and d is the distance from the center of the Earth to the satellite
Since the radius of the Earth is 6,371 km, we get
d = 42 km + 6,371 km = 6413 km
Then, to convert to m, we need to multiply by 1000
d = 6413 km x 1000 m/km = 6.413 x 10^6 m
Finally, replacing m1 = 900 kg, m2 = 5.972 x 10^24 kg, and d = 6.413 x 10^6 m, we get:
\(\begin{gathered} F=6.67\times10^{-11}\frac{(900)(5.972\times10^{24})}{(6.413\times10^6)^2} \\ F=8716.97\text{ N} \end{gathered}\)Therefore, the force between the planet and the satellite is 8716.97 N
The Earth rotates on its axis. what is it's axis.
Answers
Answer:
The thing where the 2 poles sit
Explanation:
The conductor is initially electrically neutral, and then a charge q is placed at the center of the hollow space. Suppose the conductor initially has a net charge of 7q instead of being neutral. What is the total charge on the interior and on the exterior surface when the q charge is placed at the center
Answers
The total charge on the interior of the conductor is zero.
The total charge on the exterior of the conductor is 8q.
Total charge on the interiorDue to large number of electrons available for conduction in a conductor, most of the electrons moves to surface leaving zero net charge inside the conductor.
Thus, the total charge on the interior of the conductor is zero.
Total charge on the exteriorThe total charge on the exterior of the conductor is calculated as follows;
Q = q + 7q = 8q
Thus, the total charge on the exterior of the conductor is 8q.
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A hospital engineer finds an unidentified radioactive source using his Geiger counter in the nuclear medicine department. explain how the engineer could identify what type of radiation is being emitted from the source.
.
Any Idias?
Answers
Ionising radiation such as alpha and beta particles or gamma rays are detected using the Geiger-Müller (GM) tube. The radiation enters the tube through a very thin window at one end.
A radioisotope used for diagnostics must generate enough gamma rays to escape from the body and have a short enough half-life to decay away shortly after imaging is concluded. Tc-99 is the most often used radioisotope in medicine, accounting for approximately 80% of all nuclear medicine treatments.
Nuclear imaging is used to study the function of organs and tissues. During the operation, a trace amount of a radioactive chemical is used to aid in the examination. Body tissue absorbs the radioactive substance, known as a radionuclide (radiopharmaceutical or radioactive tracer).
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The electric potential 5.54 m from a charge is -3680 V. What is the value of the charge? Include the sign, + or -.
Answers
Answer: -2.26
Explanation:
acellus can burn <\3
Answer:
-2.26
Explanation:
its for Acellus
What is the relationship between voltage and current in a circuit, if the resistance remains constant?
Answers
if it ran off a dc i think
In a swinging mishap, Tarzan, whose mass is 82.0 kg, finds himself circling a tree in a horizontal circle at the end of a vine 3.43 m long that makes an angle of 4.88 degrees with the vertical.(a) Find the centripetal force (in Newtons) exerted on him by the vine.(b) Determine Tarzan's centripetal acceleration (in m/s/s).
Answers
(a) The centripetal force exerted on Tarzan is 686 N.(b) Tarzan's centripetal acceleration is 8.36 m/s/s.
(b) In a swinging mishap, Tarzan's centripetal force exerted by the vine is 686 N. Tarzan's centripetal acceleration is 8.36 m/s/s.
Given: The mass of Tarzan,
m = 82.0 kgLength of the vine,
l = 3.43 m
Angle made by the vine with the vertical, θ = 4.88°
To find: The centripetal force and Tarzan's centripetal acceleration.
(a) Calculation of the centripetal force:
Centripetal force, F = mv2/r,
where m is the mass of the object moving in a circular path, v is the velocity, and r is the radius of the circle.Force along the vertical direction (mg) is balanced by the tension in the vine along the direction of the vine. So, the net force is the centripetal force. Frictional force is negligible here because the vine is considered to be massless. Now, the force exerted by the vine is T = F.Using the Pythagorean theorem, we get:
cos θ = r/lcos 4.88°
= r/3.43mr
= 3.40 m
Substituting the values, we get:
F = mv2/rF
= (82.0 kg)(9.81 m/s2)(3.43 m)
F = 2564 N or 2.56 kN
Thus, the centripetal force exerted on Tarzan by the vine is 686 N.
(b) Calculation of Tarzan's centripetal acceleration:Using the formula, a = v2/r, we get:v = rωv = r × 2π/T (since the object makes a complete circle in time T)
Using the Pythagorean theorem, we get:
sin θ = v/v′sin 4.88°
= v/ωl
∴ v = ωl sin 4.88°
Substituting the values, we get: v = 7.12 m/sa = v2/r
Substituting the values, we get:
a = (7.12 m/s)2/3.40 m
Thus, Tarzan's centripetal acceleration is 8.36 m/s/s.
The formulae used to calculate the centripetal force and acceleration are F = mv²/r and a = v²/r, respectively.
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When should you not do if you feel pain while exercising
Answers
Answer:
you should rest or decrease the activity that is causing the problem, ice the painful area
Explanation:
Hope this helps~!
Answer:
Your question is hard to understand, are you asking what you should do?
Explanation:
If so then the answer is to stop doing the exercise. You want to stop immediately because you can cause damage. You can tear a muscle if you keep pushing yourself if you feel pain. (not to be confused with uncomfortableness).
What variable is inversely proportional to electrostatic force?
*k
*q1
*r
*mass
Answers
According to the question, The electrostatic force is inversely related to the square of the separation distance.
Electrostatic force, where is it?Between two charges that are separated by a distance, there is an electrostatic force. The size of each charging and the separation between them determine the strength of the electrostatic force. Two charges that are either positive or negative when placed together repel one another.
Why do electrostatic forces exist?Positively and negatively charges are known to interact with one another. The magnitude of the electrostatic force, however, serves as a gauge for the strength of all this interaction. The magnitude of the static electricity and the spacing between them both contribute to this force.
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In which image below is the angle of refraction the greatest?
Answers
Answer:
Explanation:
Angle of refraction is the angle made by refracted ray with the normal at the point of incidence . In this figure , refracted ray has been shown by line having arrow-head . Normal has been shown by broken line .
We observe that in figure D , angle made by refracted ray with normal is greatest . So figure D is the answer.
The image where the angle of refraction is the greatest is the image D
What is the angle of refraction?The angle of refraction is the angle that the refracted ray made with the x-axis.
The higher the angle between the refracted ray and the x-axis, the higher the angle of refraction and vice versa.
From the given diagram, we can see that the image where the angle of refraction is the greatest is the image D
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A year is the time it takes a planet to complete one orbit. use your data to estimate the year length for each planet. use time units of earth years or earth months. why does it take the outer planets so long to orbit the sun? try to come up with 2 reasons.
Answers
The planets of the solar system has the orbiting time.
Mercury- 88 days, Venus-225 days, Earth- 365 days, Mars-687 days, Jupiter- 12 years, Saturn- 29 years, Uranus- 84 years, Neptune- 165 years, Pluto- 248 years.
What is solar system?Solar system consists of all the planets and the most importantly the center of the solar system is Sun.
Sun is the main focus of the solar system. It emits high temperature light rays on the planets which in turn emit lights and be visible.
Outer planets take longer to orbit the sun because the gravitational pull is weaker as shown in the inverse square law.
The outer planets very far away from the Sun, means that they have more distance to cover in their orbit.
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The amount of current flowing through a conducting material when 360C charge flows for 3min
Answers
Answer:
Amount of current (I) = 2 Amperes
Explanation:
Given:
Coulomb charge = 360 C
Time = 3 min = 3 x 60 sec = 180 sec
Find:
Amount of current
Computation:
Amount of current (I) = Coulomb charge / Time
Amount of current (I) = 360 / 180
Amount of current (I) = 2 Amperes
a group collected data on velocity and time for an object that's constantly accelerating. how could a value of the constant acceleration be estimated? group of answer choices by the slope of a velocity vs time scatterplot. by the slope of a postion vs time scatterplot. by the peak of a histogram of the accelerations. by the peak of a histogram of the velocities.
Answers
The slope of a velocity vs time scatterplot is the most appropriate method for estimating the value of the constant acceleration for an object that is constantly accelerating.
To estimate the value of the constant acceleration for an object that is constantly accelerating, we can use the slope of a velocity vs time scatterplot. This is because acceleration is defined as the rate of change of velocity over time, and the slope of a velocity vs time graph represents this rate of change.
By calculating the slope of the line of best fit for the velocity vs time data, we can determine the value of the constant acceleration. The other options listed, such as using the slope of a position vs time scatterplot or the peak of a histogram of accelerations or velocities, would not give us an accurate estimate of the constant acceleration. This is because acceleration is a rate of change, and is therefore best determined by examining changes in velocity over time.
To estimate the value of constant acceleration for an object with given velocity and time data, you can use the slope of a velocity vs. time scatterplot. This is because the relationship between acceleration, velocity, and time in a constantly accelerating object follows the equation a = (v - u) / t, where a is acceleration, v is final velocity, u is initial velocity, and t is time. The slope of the velocity vs. time scatterplot represents the rate of change of velocity over time, which is the acceleration.
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an EM wave has a speed of 3 x 10^8 m/s and a frequency of 5.0 x 10 ^7 Hz. what is the wavelength of the EM wave
0.17m
1.5 x 10 ^ 16m
6.0m
0.06 m
30 POINTS
Answers
Answer:
i think it is 0.06 but im not sure sorry if im wrong
Explanation:
The Work-Energy Principle states that work is equal to the
change in kinetic energy. What unit measures these variables!
Answers
Answer:
the workenergy principle is measured in joules
i need help with this can give a heart or like if its right
Answers
The new electrostatic force between the charges, given that q₁ is reduced to 1/2q₁ and q₂ is tripped is 3/2Fₑ (Option C)
How do I determine the new electrostatic force?First, we shall determine the initial electrostatic force between the charges. Details below:
First Charge (q₁) = q₁second Charge (q₂) = q₂Electric constant (K) = KDistance apart (r) = rInitial electrostatic force (F) = Fₑ =?F = Kq₁q₂ / r²
Fₑ = Kq₁q₂ / r²
Finall, we shall determine the new electrostatic force. The is illustrated below:
First Charge (q₁) = 1/2q₁second Charge (q₂) = 3q₂Electric constant (K) = KDistance apart (r) = rNew electrostatic force (F) =?F = Kq₁q₂ / r²
F = (K × 1/2q₁ × 3q₂) / r²
F = 3/2Kq₁q₂ / r²
But,
Fₑ = Kq₁q₂ / r²
Thus
F = 3/2Fₑ
Thus, we can conclude that the new electrostatic force is 3/2Fₑ (Option C)
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Children on the autism spectrum are at risk for nutritional deficiencies because?
Answers
Explanation: Research highlights the individuals with ASDS are nutritionally vulnerable because they exhibit a selective or pick eating pattern and sensory sensitivity that predisposes them to restricted intakes.
I hope this helps!
the total energy of a system is 300j. if the potential energy is 40j what is the kinetic energy if the object started 300m above the ground?
Answers
Answer:
43.3 m/s.
Explanation:
Assuming the potential energy is due to the gravitational potential energy, we can use the conservation of energy to find the kinetic energy:
Total energy = Potential energy + Kinetic energy
Kinetic energy = Total energy - Potential energy
Kinetic energy = 300 J - 40 J = 260 J
However, we need to know the mass of the object to convert the kinetic energy to velocity. We can use the potential energy to find the mass:
Potential energy = mgh
40 J = m(9.81 m/s^2)(300 m)
m = 0.137 kg
Now we can use the kinetic energy to find the velocity:
Kinetic energy = (1/2)mv^2
260 J = (1/2)(0.137 kg)v^2
v^2 = (2*260 J) / 0.137 kg
v = 43.3 m/s (rounded to one decimal place)
Therefore, the kinetic energy is 260 J and the velocity of the object when it reaches the ground is 43.3 m/s.
When ionic bonds form compound structures in a solid state, they arrange in latticed, crystalline patterns.
What does this say about the structure of the compound on the molecular level? What does it say about
the properties of that compound?
Answers
Answer:
Structures are determined by two principal factors: the relative sizes of the ions and the ratio of the numbers of positive and negative ions in the compound.
Ionic compounds at a molecular level are arranged in definite patterns to give a crystalline structure leading to a high melting point, high boiling point and high density in ionic compounds.
In ionic bond is formed when a metal transfers electrons to a nonmetal and an ion pair is formed. The ions are held together by strong electrostatic interaction as described by Coulomb's law.
However, the smallest unit of an ionic substance is called the formula unit. The compound arranges itself in definite patterns to form a crystalline lattice. Hence, the structure of ionic compound is highly ordered. This leads to a high melting point, high boiling point and high density in ionic compounds.
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a thin uniform rod of length l, uniformly charged with total charge q, lies along the y axis with its lower end at the origin. calculate the electric potential at a point x
Answers
The electric potential at point x for the given thin uniform rod of length l with charge q is
\(\frac{KQ}{l} ln [\frac{\sqrt{l^{2}+4a^{2} } +l}{\sqrt{l^{2}+4a^{2} } -l} ]\)
Electric potential (also called electric field potential, potential drop, or electrostatic potential) is defined as the amount of work energy required to move a unit charge from a reference point to a specific point in the electric field. More specifically, it is the energy per unit charge of the test charge for which the field perturbation under consideration is so small that it is negligible.
The electrostatic field is a vector quantity denoted as the gradient of the electrostatic potential, a scalar quantity denoted V or sometimes φ.
Calculation :
We know that
\(dv = \frac{KQ}{r}\)
\(dv = \frac{Kdq}{\sqrt{a^{2} +x^{2} } }\) [ ∵ \(dq = \frac{Q}{l} dx\) ]
\(v = \int\limits_ {} \,dv\)
\(v = \frac{KQ}{l}[ln](sec (theta)+tan(theta))\)
\(v =\) \(\frac{KQ}{l} ln [\frac{\sqrt{l^{2}+4a^{2} } +l}{\sqrt{l^{2}+4a^{2} } -l} ]\)
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Jan ran 4 miles north in 28 minutes. What was Jan's average velocity?
Answers
Answer:
3.83 m/s
Explanation:
Given that,
Distance covered by Jan, d = 4 miles
1 mile = 1609.34 m
4 miles = 6437.38 m
Time, t = 28 minutes = 1680 s
Jan's average speed,
v = d/t
\(v=\dfrac{6437.38\ \text{m}}{1680\ \text{s}}\\\\v=3.83\ \text{m/s}\)
Hence, the average velocity of Jan is 3.83 m/s.
Guys I'm in kind of PICKLE!!!!!! I know people say it a lot but I will give Brainiest to the best explained answer. Determine the net force charge acting at q1 (+ 2.0 × 10-5C), caused by q2 (-4.0 × 10-5 C) and q3 (-4.0 × 10-5 Determine the net electric field acting at q1
Answers
Answer:
a) Fnet = 176.78N
b) Enet = 88.39 × 10⁵N/C
Explanation:
This hurts. Help me.
Answers
Answer:
a. T₂ = 60 N
b. W = 25.98 N
Explanation:
a.
Taking right side as positive x direction, the equation for sum of forces in x-direction can be written as follows:
\(T_{2}Sin\ 30^o - T_{1} = 0\\T_{2}Sin\ 30^o = T_{1}\\T_{1} = (T_{2})(Sin\ 30^o)\\where,\\T_{2} = 30\ N\\Therefore,\\T_{1} = (30\ N)(Sin\ 30^o)\\\)
T₁ = 15 N
b.
Taking upward direction as positive y direction, the equation for sum of forces in y-direction can be written as follows:
\(T_{2}Cos\ 30^o - W = 0\\T_{2}Cos\ 30^o = W\\W = (30\ N)Cos\ 30^o\\\)
W = 25.98 N
what is the wavelength of a wave that has a speed of 350 Meters/second and a frequency of 140 hertz?
____ meters
Answers
Answer:
\( \lambda = 2.5 \: m\)Explanation:
To find:-
The wavelength of the wave.Answer:-
We are here given that , the speed of a wave is 350m/s and has a frequency of 140Hz . We are interested in finding out the wavelength of the wavelength of the wave .
As we know that, wavelength, frequency and speed are related to each other as ,
\(\longrightarrow\boxed{ v = \lambda \nu} \\\)
where,
\(v\) is the speed of the wave.\(\lambda\) is the wavelength of the wave.\(\nu\) is the frequency of the wave.On substituting the respective values, we have;
\(\longrightarrow 350 m/s = \lambda \times 140Hz \\\)
\(\longrightarrow \lambda =\dfrac{350}{140} m \\\)
\(\longrightarrow \boxed{\boldsymbol \lambda = 2.5 \ m} \\\)
Hence the wavelength of the wave is 2.5 m .
Answer:
2.5meter
Explanation:
edge 2023
A 0.50 kilogram ball is held at a height of 20 meters. What is the kinetic energy of the ball when it reaches halfway after being released?
A.
49 joules
B.
98 joules
C.
1.0 × 102 joules
D.
1.1 × 102 joules
Answers
Answer:
A
Explanation:
Use the conservation of energy formula to calculate the velocity of the ball when it reaches the halfway point (10m down). Then, use your calculated value to obtain the kinetic energy.
Answer:
A. 49 on Plato
Explanation:
Its the right one trust me .