Answer:
Earth is heated by energy from the Sun.
Explanation:
This is correct on edge.
Radiation examples: Earth heated by Sun's energy, soup microwaved. Other options involve conduction or convection, not radiation.
Radiation refers to the transfer of heat energy through electromagnetic waves. Based on the given options, the examples of radiation are:
Earth is heated by energy from the Sun.
This is an example of radiation because the Sun emits heat energy in the form of electromagnetic waves, which travel through the vacuum of space and reach Earth, warming it in the process.
Soup is heated in a microwave.
Microwaves use electromagnetic radiation to heat food. Microwaves are a form of electromagnetic waves, and they directly heat the water molecules inside the food, causing it to heat up.
Water is boiled in a pot on a stove burner.
This is also an example of radiation. When the stove burner heats the pot, the pot, in turn, heats the water through the process of conduction, but there is also radiation involved. As the pot gets hot, it emits infrared radiation, which further heats the water.
The other examples mentioned (Troy's hand being burned, hot dog getting warm over a fire) involve conduction and convection, not radiation.
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If some electrons are transferred from object A to object B,
A. Object A will have a positive charge
B. Object A will have a negative charge
C. Object B will have a positive charge
D. B and C
Answer: A. Object A will have a positive charge.
Explanation: If the number of protons and electrons are the same, their net charges cancel each other out, and you have a neutral charge. If electrons are transferred to another object, the amount of positive charge will outweigh the amount of negative charge. As a result, you are left with an overall positive charge in object A. Meanwhile, object B is now negative.
Final answer:
When electrons are transferred from object A to object B, object A will become positively charged (option A) due to the loss of negatively charged electrons. This makes the answer A. Object A will have a positive charge.
Explanation:
If some electrons are transferred from object A to object B, the correct answer is A. Object A will have a positive charge. This is because electrons have a negative charge, and removing them from an object leaves that object with an excess of positive charge in the form of protons (which are positively charged and present in every atom). Object B, receiving the electrons, will become negatively charged since it gains additional negative charges.
With reference to the information provided:
Ball 1 (analogous to object A) will have a positive charge if it loses electrons.Ball 2 (analogous to object B) will have a negative charge if it gains electrons.If a positively charged object is in contact with an uncharged object in a closed system, the uncharged object will become positively charged.How is transported soil different from residual soil? A. It forms on unconsolidated materials. B. It transports other materials. C. It has been moved from another location. D. It develops on bedrock
Answer:
C. It has been moved from another location.
Explanation:
Residual soil is that which has been formed by the weathering of the rocks in the same place where it is located, with a virtually zero displacement of the particles, while the transported soil is that which forms a loose mantle, resulting from the disintegration or decomposition of the rocks. Since it is an unconsolidated mantle, its products are transported by water, wind or ice.
Answer:Hello the correct answer for penn foster is it forms on uncosolidated materials.
Explanation:
16. A 6 kg block is falling toward a spring located 1.8 m below. If it has a speed of 4 m/s at first,
what will be the maximum compression of the spring? Assume the spring constant is 2000 N/m
[6 marks][1 mark for Comm]
Answer:
Maximum compression of the spring: [tex]\rm 0.423\; m[/tex].
Explanation:
Let [tex]x[/tex] be the maximum compression, in meters, of the spring.
What's the initial kinetic energy of this block?
The initial velocity [tex]v[/tex] of the block is [tex]\rm 4\;m\cdot s^{-1}[/tex].The mass of the block is [tex]\rm 6\;kg[/tex].Initial [tex]\displaystyle \mathrm{KE} = \frac{1}{2} \;m\cdot v^{2} = \rm \frac{1}{2} \times 6\times 4^{2} = 48\;J[/tex].What's the final kinetic energy of this block?
The block would have come to a stop by the time the spring reaches its maximum compression. [tex]v = 0[/tex]. As a result, the final kinetic energy of the block shall also be zero.Let the initial height of the block be zero.
The height of the block will be [tex]\rm -1.8\;m[/tex] by the time it reaches the top of the spring. However, the height of the block will become even more negative as the spring compresses. If the maximum compression of the spring is [tex]x[/tex] meters, the height of the block will be [tex]-(1.8 + x)[/tex] meters by the time the spring reaches its maximum compression.
The change in the height of the block will thus be [tex]-(1.8 + x)\;\mathrm{m}[/tex] relative to the initial position of the block. The change in the block's potential energy due to gravity will be:
[tex]\Delta \mathrm{GPE} = m\cdot g\cdot \Delta h = 6\times 9.8 \times (-(1.8 + x)) = -105.948- 58.86\;x[/tex].
The mechanical energy of an object is the sum of its kinetic energy and its potential energy. What will be the change in the mechanical energy of the block?
[tex]\text{Change in Mechanical Energy} \\ = \text{Change in KE} + \text{Change in PE} \\ = (0 - 48) + ((-105.948- 58.86\;x) - 0)\\ = (-153.948 - 58.86\;x)\; \text{J}[/tex].
The block has lost [tex](153.948 + 58.86\;x)\; \text{J}[/tex] of energy as it travels from its initial position to the place where the spring is most compressed. Energy conserves. Those energies are transferred to the spring. Assume that there's no energy loss in this process. All those [tex](153.948+ 58.86\;x)\; \text{J}[/tex] would have become the elastic potential energy of the spring.
On the other hand, it is assumed that the spring is compressed by a distance of [tex]x[/tex] meters. By Hooke's Law, the elastic potential energy of the spring will be:
[tex]\displaystyle \text{Elastic Potential Energy} = \frac{1}{2} \; k\cdot x^{2} = \frac{1}{2}\times 2000 \times x^{2} = 1000\; x^{2}\;\text{J}[/tex].
There are thus two expressions for the Elastic Potential Energy of the spring:
[tex](153.948+ 58.86\;x)\; \text{J}[/tex] from the conservation of energy, and[tex]1000\; x^{2}\;\text{J}[/tex] by Hooke's Law.The two expression shall be equivalent. Equate the two expressions and solve for the compression of the spring, [tex]x[/tex].
[tex]153.948+ 58.86\;x = 1000\; x^{2}[/tex].
[tex]1000\; x^{2}- 58.86\;x - 153.948 = 0[/tex].
[tex]\displaystyle x_{1} = \frac{-(-58.86) +\sqrt{(-58.86)^{2} - 4\times 1000 \times (-153.948)}}{2\times 1000} = \rm 0.423[/tex].
[tex]\displaystyle x_{2} = \frac{-(-58.86) +\sqrt{(-58.86)^{2} - 4\times 1000 \times (-153.948)}}{2\times 1000} = -0.364[/tex].
Consider the expression for the height of the block when it is at the top of the spring and when the spring reaches maximum compression:
Height of the block at the top of the spring: [tex]\rm -1.8\;m[/tex];Height of the block when the spring reaches maximum compression: [tex]-(1.8 + x) \; \text{m}[/tex]. This height will be [tex]\rm -2.2\; m[/tex] if [tex]x_{1}[/tex] is correct, and [tex]\rm -1.4\; m[/tex] if [tex]x_{2}[/tex] is correct. The block compresses the spring and will be below its initial position at the top of the spring. Therefore, [tex]x > 0[/tex] and only [tex]x_{1}[/tex] is correct.The maximum compression of the spring will be 0.423 meters.
Earth has a mass of 5.97 x 1024kg, and a mean radius of 6.38 x 10m. What would be the orbita
satellite in orbit 1.44 x 108 m above Earth?
a. v, = 630m/s,
c. v, - 1630m/s,
T = 2.78 x 10 s
T=5.78 x 10s
b. V = 1820m/s,
d. V, - 1260m/s,
T = 6.78 x 106 s
T=5.78 x 10's
Please select the best answer from the choices provid
Answer:
v = 1630 m/s
T = 5.78 x 10^5 s
Explanation:
The tangential speed of the satellite can be found by requiring that the gravitational force on the satellite is equal to the centripetal force:
[tex]G\frac{Mm}{(R+h)^2}=m\frac{v^2}{R+h}[/tex]
where
G is the gravitational constant
M=5.97 x 1024kg is the Earth's mass
m is the satellite's mass
[tex]R=6.38 \cdot 10^6 m[/tex] is the Earth's radius
[tex]h=1.44\cdot 10^8 m[/tex] is the altitude of the satellite
v is the speed of the satellite
Solving for v,
[tex]v=\sqrt{\frac{GM}{R+h}}=\sqrt{\frac{(6.67\cdot 10^{-11})(5.97\cdot 10^{24}kg)}{6.38\cdot 10^6 m+1.44\cdot 10^8 m}}=1627 m/s \sim 1630 m/s[/tex]
And the period of the orbit is equal to the ratio between the distance covered during one revolution (the circumference of the orbit) and the speed:
[tex]T=\frac{2 \pi (R+h)}{v}=\frac{2\pi (6.38\cdot 10^6 m+1.44\cdot 10^8 m)}{1630 m/s}=5.79\cdot 10^5 s[/tex]
So the correct answer is
v = 1630 m/s
T = 5.78 x 10^5 s
what may happen if oceanic plates stop moving
Answer:
the earth would be a different place, for example there wouldnt be anymore volcanic eruptions
Explanation:
when the earth plates stops moving is the source to everything, the ground would shake, waves would stop ect
There would be no new island formations when oceanic plates stop moving.
Explanation:
The oceanic plate or the tectonic plate movement determines the several activity of land and ocean which keep making the life possible. As the plate movement stop, volcanic eruption will be stopped, sea floor will not spread further, every activity below ground will cease.
The pressure increases inside the core and so does the erosion. The continent will be lost with all its life on the land. Oceanic life will survive more but may freeze the planet to die.
EXPLAIN the measures that can be taken to ensure safety in a storm.
Hello There!
Great Question You Asked.
I Will Provide A Number Of Steps To Below To Show You Measures of Being Safe
Number 1.
Find shelter immediately. If you find yourself caught in a lightning storm, the key to minimizing danger is to get inside a protective structure. While most people seek shelter if lightning appears to be near, people commonly wait too long to seek shelter. If you can detect lightning, it may be close enough to strike you so always make sure you are safe.
Number 2.
Try to stay away from windows because windows provide a direct path for lightning.
Number 3.
Don’t touch anything metal or electrical.
Which vector best represents the net force acting on +3C charge in the diagram?
A
B
C
D
-- The two negative charges both attract the positive charge at the origin.
-- The -4C charges are horizontally symmetrical, so there's no net horizontal force on the +3C at the origin.
-- However, the -4C both pull it down.
-- So the net force on the +3C at the origin is directed straight down.
The arrow labelled ' C ' represents the net force on it.
Answer:
Choice C I got it correct on the assignment.
Explanation:
Which natural process is responsible for ridge push
Answer:
seafloor spreading
Explanation:
PhYsIcS
Find the acceleration of the block.
Answer:
C. 7 m/s²
Explanation:
The horizontal forces acting on the block are the 80 N tension, the 60 N tension, and friction. Apply Newton's second law:
∑F = ma
80 N − 60 N − F = (10 kg) (1 m/s²)
20 N − F = 10 N
F = 10 N
If S₁ goes away, the acceleration becomes:
∑F = ma
80 N − 10 N = (10 kg) a
70 N = (10 kg) a
a = 7 m/s²
2. How much work does gravity do in causing a 6 kg hammer to fall to the ground from a
height of 10 m?
Answer:
Therefore, gravity does 588.6 Joules of work in causing the 6 kg hammer to fall 10 meters.
Explanation:
Gravity does work by exerting a force on the hammer over a certain distance. We can calculate this work using the formula:
Work = Force x Distance (where force is parallel to the direction of movement)
In this scenario:
Force = Gravitational force acting on the hammer (Weight of the hammer)
Distance = Height fallen
Force:
We can calculate the gravitational force (weight) using the formula: Weight = Mass x Gravity
Mass of the hammer (m) = 6 kg
Gravity (acceleration due to gravity) = 9.81 m/s² (approximately)
Weight = 6 kg * 9.81 m/s² = 58.86 N (Newtons)
Distance:
Distance (d) = 10 m
Work done by gravity:
Work = Force x Distance = 58.86 N * 10 m = 588.6 Joules
Therefore, gravity does 588.6 Joules of work in causing the 6 kg hammer to fall 10 meters.
Is a typical refrigerator door made of iron or aluminum? Explain.
Answer: Aluminum, because the parts that make a refrigerator are most definitely aluminum
Explanation:
A typical refrigerator door is made of steel or aluminum and not by iron. Similarly, the exterior cabinet also made of aluminum metal.
What are raw materials of refrigerator ?The outer cabinet and door, the inner cabinet or liner, the insulation placed between the two, the cooling system, the refrigerant, and the fittings make up the majority of modern refrigerators. Aluminum or steel sheet metal that has occasionally been preprinted is used to make the cabinet and door.
Typically, the metal is bought in a coil and supplied either straight into the production process or chopped to size and fed in sheets. Like the outside cabinet, the inside cabinet is built of sheet metal or plastic.
Fiberglass or polyfoam insulation is used to fill the space between the inner and exterior cabinets. Aluminum, copper, or an alloy is used to make the compressor, condenser, coils, and fins of the cooling system.
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“Persistence, patience, perseverance... When something doesn't work, there is always a solution”
Who said that?
Answer:
Thomas Edison
Explanation:
Albert Einstein and Thomas Edison both highlighted the importance of these qualities to achieve success. Their insights demonstrate that long-term commitment and effort are crucial for overcoming challenges.
"Persistence, patience, perseverance... When something doesn't work, there is always a solution" is a quote often associated with the importance of these qualities in achieving success. A well-known quote by Albert Einstein complements this idea: "It's not that I'm so smart; it's just that I stay with problems longer." This emphasizes the value of persistent effort over innate ability.
Similarly, Thomas Edison, the famous inventor, highlighted persistence when he said, "I've just found 10,000 ways that won't work!" after numerous attempts to create a functional light bulb filament. These examples show that successful individuals frequently attribute their achievements to perseverance and long-term commitment rather than just intelligence or luck.
A student claims that any object in motion must experience a force that keeps it in motion. Do you agree or disagree? Explain your reasoning.
Answer: agree
Explanation: because there is always a force that causes motion..
Also I’m back
Where’s the old gang?
Newton's first law of motion states that an object in motion will continue to move at a constant speed in a straight line unless acted upon by an external force. So, not all objects in motion require a force to keep them in motion.
Explanation:According to Newton's first law of motion, an object in motion will continue to move at a constant speed in a straight line unless acted upon by an external force. So, it is not true that any object in motion must experience a force to keep it in motion. The force is only necessary to change the object's state of motion, such as slowing it down or altering its direction.
For example, imagine a hockey puck sliding on a frictionless ice rink. Once given an initial push, the puck will continue moving at a constant speed in a straight line until it encounters an external force, such as contact with the boards or another player.
Therefore, I disagree with the student's claim. An object in motion does not necessarily need a force to keep it in motion, but rather a force is required to change its state of motion.
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Globalization is the process of
Answer:
Globalization is the process by which the interaction and integration among the people of different nations for the aim of trading, exchange of information and services.
This process directly affects the culture, economic development, physical well beings and political around the world.
The exchange of goods and services, cultural things, and imports and exports of different types of objects are exchanges around the world known as Globalization.
Final answer:
Globalization is the process that leads to increased international integration and interconnectivity, fueled by advancements in communication and transportation, resulting in integrated markets, governments, and cultures.
Explanation:
What is Globalization?
Globalization is the process by which there is a growing exchange of goods, services, ideas, and cultural practices among nations, leading to a more interconnected and interdependent world. It encompasses the increasing interconnectedness of countries resulting from advancements in communication and transportation technology, which includes the rise of the Internet and the decline in trade barriers such as tariffs. In the business world, globalization refers to the international nature of trade, characterized by cross-border movements of commodities, capital, and labor. It often starts with individual motives like market expansion or improving healthcare access but tends to have a cascading effect, integrating governments, cultures, and financial markets into a global marketplace. This process has commercial, philanthropic, entrepreneurial, and cultural dimensions and can lead to benefits such as the distribution of clean-water technology to underserved areas.
suppose a scientist found a new matal-like substance in the desert. He determined its mass to be 20 grams. The volume was determined by water displacement to be 5 cm^3. What is the density of the substance? Will it sink or float in liquid water ( 1g/cm^3)?
Density = (mass) / (volume)
Density = (20 g) / (5 cm³)
Density = 4 g/cm³ .
The density of the substance is greater than the density of water. A lump of the substance will sink in water, unless the lump is formed into a shape that displaces 20 cm³ of water or more, such as a tiny boat shape.
Which statement describes how rays behave when they travel through media during reflection and refraction?
During refraction, rays stay in the original medium, and during reflection, rays pass into a new medium.
During reflection, rays stay in the original medium, and during refraction, rays pass into a new medium.
During reflection and refraction, rays stay in the original medium.
During reflection and refraction, rays pass into a new medium.
Answer:
B. During reflection, rays stay in the original medium, and during refraction, rays pass into a new medium.
Explanation:
Trust me bro.
B. During reflection, rays stay in the original medium, and during refraction, rays pass into a new medium describes how rays behave when they travel through media during reflection and refraction.
What happens when light rays reflect?Rays change direction as they reflect off the surface, move from one transparent medium to another, or pass through a medium whose composition is constantly changing.
Reflection involves changing the direction of the wave as it bounces off the barrier. Refraction of a wave involves changing the direction of the wave as it transitions from one medium to another. The refraction or curvature of a wave path involves changes in wave velocity and wavelength.
Considering the two videos we just watched, light can either bounce (reflect) through one medium and bounce (reflect) in another medium, or bend (break) as it passes through one medium and another. I have.
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If an object falls for 4 seconds, how fast is it going when it hits the ground?
Acceleration due to gravity is about 9.8 m/s²
So after every second, the speed increase by 9.8 m/s
After 1 second, the object would fall at a speed of 9.8 m/s
After 2 seconds the object would fall at a speed of 19.6 m/s
So after 4 seconds, the object is going to be at a speed of:
9.8 x 4 = 39.2 m/s
-------------------------------------------------
Answer
39.2 m/s
What is the mass of a stone moving at a speed of 15 meters/second and having a momentum of 7.5 kilogram - meters / seconds
Answer:
0.5 kg
Explanation:
The momentum of an object is defined as
p = mv
where
m is the mass
v is the velocity
In this problem we have,
v = 15 m/s is the velocity of the stone
p = 7.5 kg m/s is the momentum
Solving for m, we can find the mass of the stone:
[tex]m=\frac{p}{v}=\frac{7.5 kg m/s}{15 m/s}=0.5 kg[/tex]
Data:
p = 7.5kg-m/s
v = 15m/s
m = ?
Explanation:
P = m×v
m = P/v
m = 7.5/15
m = 0.5kgs
Runner A had the highest velocity. Runner C had the lowest velocity. Runners A and B started at the same position, but runner C started ahead of runners A and B. What did you include in your response? Check all that apply.
Runner A had the highest velocity.
Runner C had the lowest velocity.
Runners A and B started at the same position.
Runner C started ahead of runners A and B.
Answer:
A. C. and D.
Explanation:
Answer:
A, C, and D
Just confirming
Which element's symbol could replace the question mark in
the diagram?
O boron (B)
O neon (Ne)
O rubidium (Rb)
O arsenic (As)
Answer:
arsenic (As)- last choice
The element's symbol could replace the question mark in the diagram is Arsenic (As).
What is element?An element is characterized by its atomic number. Each element has different number of protons in the nuclei of its atoms.
The diagram represents the electrons in the form of dots. The no of dots or electrons attached to the element with question mark is five. So, the element recognized as Arsenic.
Thus, the element's symbol could replace the question mark in the diagram is Arsenic (As).
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Which one of these is currently conducting manned space exploration?
A. Apollo
B. Voyager
C. space shuttle program
D. International Space Station
Answer:D.International Space Station
Explanation:
The only one still in space
Answer: D. International Space Station
Explanation: The International Space Station is currently orbiting Earth.
Molecules can be made of atoms Of
the same element only
different elements only
the same or different elements
Answer:
Molecules can be made of the atoms of same element as well as of the different elements.
Explanation:
H2 is called a molecule because it is made up of atoms of same elements H.
Also, H2O is called a molecule as it is made up of atoms of different elements H and O.
Answer:
The same or different elements
Explanation:
I did this question, thats correct.
A charge of 8.4 × 10–4 C moves at an angle of 35° to a magnetic field that has a field strength of 6.7 × 10–3 T.
If the magnetic force is 3.5 × 10–2 N, how fast is the charge
Answer:10842.33m/s
Explanation:
F=qvBsine
V=f/(qBsine)
V=(3.5×10^-2)÷(8.4×10^-4×6.7×10^-3×sin35)
V=10842.33m/s
how does the suns energy contribute to the carbon cycle
Answer:
Photosynthesis
Light energy from the sun stimulates photosynthesis by green plants. One major component of the carbon cycle is the reduction of the carbon (IV) oxide content in the atmosphere by plants. Plants take in Carbon (IV) oxide to use during the process of making their own food. During this process light energy is absorbed by chlorophyll and is used to convert carbon (IV) oxide and water to glucose.
This glucose is used during respiration by living organisms that give out carbon (IV) oxide. The cycle continues.
PLEASE HELP ASAP
What is the clockwise torque on the following lever?
5.0 Nm
125 Nm
250 Nm
0.0 Nm
Torque = (force perpendicular to the radius) x (length of the radius)
Torque = (25 N) x (5 m)
Torque = 125 N-m
Bro the answer you want is 125 NM
Hope this helps have a great day
Give 3 examples of something with kinetic energy.
Explanation:
Radio wavesstatic electricity a car moving along the road3 examples of kinetic energy:
The river flow down the stream or the falling at the gorge has kinetic energy possessed in it. The basketball dribbled down which bounces back to the certain height has the kinetic energy in the ball. The shooting star falls down in the sky or space with the kinetic energy in it.Kinetic energy is the form of energy which is associated with motion of the body who possesses it. Kinetic energy is dependent upon “mass and velocity” of the body.
IDENTIFY the common types of precipitation. COMPARE and CONTRAST them.
The most common types of precipitation are:
- rain
- snow
- hale
The rain comes in liquid form. In order for the rain to occur, the temperature in the upper parts of the troposphere should not be too low, thus the condensation of the water vapor can only go from gaseous to liquid form. The rain occurs in the lower latitudes, as well as in the mid-latitudes mostly from spring to autumn.
The snow occurs in the higher latitudes and in the mid-latitudes during winter. In order for the snow to form, the temperatures in the upper parts of the troposphere should be below the freezing point, so the water vapor crystallizes into small ice crystals.
The hale occurs in the warmer period in the mid-latitudes, and occasionally in the lower latitudes. The hale is formed when during the condensation of the water vapor into liquid form, the air mass encounters much lower temperatures below the freezing point. This results in the formation of large crystals that fall on the surface in the form of frozen, circular-shaped pieces.
Amir observes Wave 1 and Wave 2 crashing into each other at two different intervals. His experiments produce Wave 3 and Wave 4. Amir records his data in a table.
What is the best statement about the data collected in Amir’s table?
Wave 3 resulted from destructive interference, and Wave 4 resulted from constructive interference.
Waves 3 and 4 resulted from constructive interference.
Waves 3 and 4 resulted from destructive interference.
Wave 3 resulted from constructive interference, and Wave 4 resulted from destructive interference.
Answer:
"Wave 3 resulted from constructive interference and Wave 4 resulted from destructive interference."
Explanation:
Constructive Interference:
When two waves meet in such a way that their crests line up together, then it's called constructive interference. The resulting wave has a higher amplitude.
Destructive Interference:
In destructive interference, the crest of one wave meets the trough of another, and the result is a lower total amplitude.
The amplitude of Wave 3 is higher than both the Waves, 1 & 2, so it must be a result of constructive interference.
The amplitude of Wave 4 is less than both the Waves, 1 & 2, so it must be a result of destructive interference.
Answer:
Wave 3 resulted from constructive interference and Wave 4 resulted from destructive interference."
Explanation:
Find the magnitude of the sum
of these two vectors:
12.0 m
45.0° 9.66 m
please HELP me with this
Answer:
8.57 m
Explanation:
To solve the problem, we have to decompose the two vectors along the two directions first:
Vector A:
- x component: Ax = +9.66 m
- y compoment: Ay = 0 (the vector lies along the x-axis)
Vector B:
- x component: [tex]B_x = -(12.0 m) cos 45^{\circ}=-8.49 m[/tex]
- y component: [tex]B_y = (12.0 m) sin 45^{\circ}=8.49 m[/tex]
So now we can find the sum of the two vectors by adding the components along each axis:
[tex]R_x = A_x + B_x = 9.66 m - 8.49 m = 1.17 m[/tex]
[tex]R_y = A_y + B_y = 0 + 8.49 m = 8.49 m[/tex]
And the magnitude of the sum is given by Pythagorean theorem:
[tex]R=\sqrt{R_x^2+R_y^2}=\sqrt{(1.17 m)^2+(8.49 m)^2}=8.57 m[/tex]
To find the magnitude of the sum of two vectors, you add their magnitudes if they're in the same direction. Given the vectors are 12.0 m at 45.0° and 9.66 m (undirected), assuming the same direction, the magnitude of the sum is 21.66 m.
Explanation:In this problem, we're dealing with vector addition in Physics, specifically calculating the magnitude of the sum of two given vectors. Given that the first vector has a magnitude of 12.0 m at an angle of 45.0°, and the second vector has a magnitude of 9.66 m (with no specific direction provided), we can use the principle of vector addition to find the resultant vector.
In the absence of the direction of the second vector, let's presume it's following the same direction for simplicity. The sum of these vectors (or the resultant vector) can be obtained by adding the magnitudes of the two vectors since they are in the same direction. So, the magnitude of the resultant vector is 12.0 m + 9.66 m = 21.66 m.
If the second vector was in a different direction, we would have to decompose the vectors into their horizontal and vertical components, add these components separately, and then calculate the magnitude and direction of the resultant vector using trigonometric principles.
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How much heat is absorbed by a 67g iron skillet when its temperature rises from 14oC to 22oC?
Explanation:
The heat (thermal energy) absorbed by the iron skillet can be found using the following equation:
[tex]Q=m.C.\Delta T[/tex] (1)
Where:
[tex]Q[/tex] is the heat
[tex]m=67 g[/tex] is the mass of the element (iron in this case)
[tex]C[/tex] is the specific heat capacity of the material. In the case of iron is [tex]C=0.444\frac{J}{g\°C}[/tex]
[tex]\Delta T=T_{f}-T_{i}=22\°C - 14\°C= 8\°C[/tex] is the variation in temperature
Knowing this, lets rewrite (1) with these values:
[tex]Q=(67 g)(0.444\frac{J}{g\°C})(8\°C)[/tex] (2)
Finally:
[tex]Q=237.98 J[/tex]