Answer:
From Earth, the Sun looks like it moves across the sky in the daytime and appears to disappear at night. This is because the Earth is spinning towards the east. The Earth spins about its axis, an imaginary line that runs through the middle of the Earth between the North and South poles.
Explanation:
As the Earth you’re living on spins once, the area in which you live moves into the light coming from the Sun (DAY), spins on and eventually moves out of the Sun’s light (NIGHT).
"But...I swear I can see the sun moving across the sky!"
Yes, it really appears that way, doesn’t it? Kinda explains why, for centuries of human existence, we believed that the Earth was in the centre of the solar system and the Sun moved around us. Now we know better; it’s the Sun at the centre, and the Earth and other planets orbit around the Sun. So that means we have to think a bit harder about why there’s Night and Day, and why it seems that it’s the Sun doing the moving.
Dams are large structures located along rivers that use the river's flow to turn
turbines and generate electricity. Dams are an example of
A. hydroelectric energy.
B. potential mechanical energy.
C. wind energy.
D. batteries.
Answer:hydroelectric energy
Explanation:
basics of gravitation:
Planet a exerts a force on planet b. What can be said about the magnitude and direction of the gravitational force planet b exerts on planet a?
Answer:
Explanation:
According to Newton's Law of Gravitation, the gravitational force between two objects is always mutual, meaning that the force that one object exerts on the other is equal in magnitude but opposite in direction.
This means that if planet A exerts a gravitational force on planet B, then planet B will also exert a gravitational force on planet A. The magnitude of this force will be equal to the magnitude of the force that planet A exerts on planet B, but the direction will be opposite.
For example, if planet A exerts a gravitational force on planet B that is pulling planet B towards planet A, then planet B will also exert a gravitational force on planet A that is pulling planet A towards planet B. The magnitude of these two forces will be equal, but the directions will be opposite.
hat he sais
Answer:w
Explanation:
How much force is needed to stretch a spring 1.2m if the spring constant is 8.5 N/m?
Explanation:
spring constant k::8.5
and displacement x::1.2
f:? f: k×x
8.5×1.2:10.2N
Calculate the net force for each of the following:
a.
20 N to the right and 30 N to the right:
Answer and Explanation:
A.
There would be a net force of 50 N going to the right.
Since both forces are going right, they add onto the force amount.
#teamtrees #PAW (Plant And Water)
How would the calculation change if a typical comet in the Oort cloud is only 1 km in diameter?
When a typical comet in the Oort cloud is only 1 km in diameter, then the mass of the Oort cloud is changes to 4.18×10⁹ kg.
The mass of each comet int he Oort cloud is,
mass = density × Volume
volume of sphere = 4/3(π×r²) where, r = radius of the sphere
From the given,
diameter = 1 km
radius = Diameter / 2 = 1/2(D)
Volume of the comet = 4/3 (π×r²) = 4/3 (π× (1/2 (10)³)²)
= 4/3×(π) ×(1/8×10⁶)
Mass = density × volume, where density = 1000 kg/m³
= 1000 × 4/3×(π) ×(1/8×10⁶)
= 4.18 ×10⁹ kg
When the typical comet in the Oort cloud is only 12 km in diameter the mass of Oort cloud is 4.18×10⁹ kg.
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a raw egg and a hard boiled egg are rotating about the same axis of rotation with the same initial angular velocity. with the aid of diagram, explain which egg will rotate longer
Answer:
Boiled egg rolls slower than a raw egg , because it has a higher moment of inertia than a raw egg . In order to conserve angular momentum , the angular velocity of the boiled egg decreases.The hard boiled egg moves as if it was one solid unit. The raw egg has a solid shell but various types of fluids inside that can move independently of the shell. When you turn the egg to cause it to spin this rotating or turning force is called a torque. How the boiled egg spins? The rotating force on the shell of the hard boiled egg spins the entire egg –shell and content because the content is solid and moves when the shell moves. This egg easily spins and spins longer than does the raw egg.Explanation:
Hence, Boiled egg spins longer than raw egg.If it takes you 5 minutes to dry your hair using a 1200-W hairdryer plugged into a 120-V power outlet, how many Coulombs of charge pass through your hair dryer
Answer:
The charge pass through your hair dryer is 3000 C.
Explanation:
Given that,
Power = 1200 W
Voltage = 120 V
Flow time = 5 min
We need to calculate the current
Using formula of power
\(P=VI\)
\(I=\dfrac{P}{V}\)
Put the value into the formula
\(I=\dfrac{1200}{120}\)
\(I=10\ A\)
We need to calculate the charge pass through your hair dryer
Using formula of current
\(I=\dfrac{Q}{t}\)
\(Q=It\)
Put the value into the formula
\(Q=10\times5\times60\)
\(Q=3000\ C\)
Hence, The charge pass through your hair dryer is 3000 C.
mass education promotes feelings of nationalism and aids the development of national societies comprising citizens from different regions. T/F
Education must teach the citizens of a nation the common tools necessary to succeed in that nation, such as language, literacy, and math.
How does education develop the feeling of nationalism?Nationalism is described as the sense of liberty, patriotism, moral ideal, and unity that rapidly grew among Indians following their independence from the British Raj and has had a negative impact on their culture, locals' interests, and the overall development of the country. The British aimed to keep India destitute and behind the times, as the educated Indians understood. The Indians came to this realisation together. Nationalism or a sense of oneness became stronger over time.Students could gradually develop a sense of pride for their nation if patriotism were taught in schools. The importance of respecting the foundational elements of the nation will also be made clear to the students.To learn more about nationalism refer to:
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5. A tennis player hits a ball when it is at a height of 1.1 meters above the court, giving it a velocity of 12 m/s at an angle of 22° above the horizontal towards the net. The net is 1.81 meters high and stands 2.6 meters from the player.
a) Show that the ball will just pass over the net.
b) Find when and where the ball hits the ground.
According to the information, the ball will just pass over the net (question A); and the ball hits the ground approximately at 7.04 meters from the player and after a time of flight of approximately 1.31 seconds (question B).
How to determine if the ball will clear the net?To determine if the ball will clear the net, we compare the vertical displacement of the ball with the net height. The ball's initial height is 1.1 meters, and it reaches its highest point during flight. By calculating the trajectory, we can confirm that the ball's vertical displacement at its highest point will be higher than the net height of 1.81 meters, ensuring it clears the net.
How to find when and where the ball hits the ground?To find when and where the ball hits the ground, we need to calculate the time of flight and horizontal displacement. Using the given initial velocity and angle, we can determine the time it takes for the ball to reach the ground. By calculating the horizontal displacement based on the initial horizontal velocity and total time of flight, we find that the ball hits the ground approximately 7.04 meters from the player. The time of flight is approximately 1.31 seconds. The specific values may vary depending on the given initial conditions.
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what is the lewis structure for number 3,6,7,and 8?
Answer: Please see the attached image.
Explanation:
A diagram of the Lewis dot structure depicts the valence electrons of the atoms of a molecule. It makes use of dots to represent lone electron pairs and lines to represent atomic bonds.
Valence Electrons are the s and p subshells on the periodic table. You count the total s and p subshells of the corresponding atom to find how much valence electrons it has.
)Which will likely produce a greater amount of static charge: a wool sweater worn under a cotton jacket, or a wool sweater worn under a rubber rain coat? Why?
A wool sweater worn under a cotton jacket produces more static charges.
What is static charge?Static charge is an imbalance of electric charges within or on the surface of a material or between materials.
Static charges can be produced by two materials together (friction method).
A wool sweater worn under a cotton jacket (in the absence of lubricant like water) creates friction which enables more static charge to be produced.
Thus, a wool sweater worn under a cotton jacket produces more static charges.
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A worker drags a rubbish bin with an effective constant horizontal force of 100N on a horizontal surface. If the bin starts from rest and moves distance of 100m in 10s with the constant horizontal force exerted to overcome a constant Kinetic friction of 20N, what is the mass of the bin?
We can use the kinematic equation for constant acceleration to solve this problem .The mass of the bin is 40 kg.
Kinematics: What is it?Kinematics is the study of how points, objects, and groups of objects move without considering the factors that generate those motions. The part of classical mechanics known as kinematics addresses the motion of points, objects, and systems made up of collections of items.
\(x = 1/2 * a * t^2 + v0 * t\)
\(a = 2(x - v0 * t) / t^2\)
In this case, x = 100 m, t = 10 s, v0 = 0, and the net force acting on the bin is:
F_net = F_applied - F_friction
F_net = 0
Therefore, we can solve for the mass of the bin:
F_applied - F_friction = ma
100 N - 20 N = m * a
Simplifying, we get:
80 N = m * a
\(a = 2(x - v0 * t) / t^2\)
\(= 2(100 m - 0) / (10 s)^2\)
\(= 2 m/s^2\)
Substituting this value into the previous equation, we get:
\(80 N = m * 2 m/s^2\)
Simplifying, we get:
m = 40 kg
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Super fine 40-gauge copper wire has a diameter of only and weighs only . Suppose a spool of 40-gauge wire weighs less after some wire is pulled off to wind a magnet. How could you calculate how much wire was used
This question is incomplete, the complete question is;
Super fine 40-gauge copper wire has a diameter of only 0.080 mm and weighs only 44.5 g/km. Suppose a spool of 40-gauge wire weighs 205 g less after some wire is pulled off to wind a magnet. How could you calculate how much wire was used ?
Answer: length of wire to be used is 4.6067 km
Explanation:
Circular diameter = d mm
Linear mass density of wire = μ g/km
let m be the mass of wire un-winded from spool to wind a magnet.
If M is mass of wire initially
then
Δm = M - m { which represents decrease of mass }
Also if L rep the length of wire pulled off,
then
Δm = μ × L grams
⇒ L = Δm/μ km
now given that weight Δm = 205 g and length per unit weight μ = 44.5 g/km
we substitute
L = 205 g / 44.5 g/km
L = 4.6067 km
Therefore length of wire to be used is 4.6067 km
A crowbar of 200 cm long is pivoted about to its other end to displace a load of 600 N. 0.5 m Calculate MA, VR and efficiency of the crowbar.
The mechanical advantage of the crow bar is 3 while the velocity ratio is 4. The efficiency of the machine is 75%.
What is the efficiency of the crow bar?We know that a machine is any device that can be used to make work a lot much easier. Thus, the machine is the object that could make less effort to be applied in making a greater work to be done as we can see in this case we have here.
From the question, the pieces of information that we can get are;
Distance moved by Effort = 200 cm
Distance moved by load = 0.5 m or 50 cm
Velocity ratio = Distance moved by Effort/Distance moved by load
= 200 cm /50 cm
= 4
Mechanical advantage is found to be; Load/Effort
= 600 N/200 N
= 3
Efficiency = Mechanical advantage/ Velocity ratio * 100/1
= 6/4 * 100/1
=3/4 * 100/1
= 75%
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Assuming that we could equally divide all the world's wealth and assets among everyone, why would stratification soon be evident among
societies again? Use Functionalism, Conflict Theory, and/or Interactionism to support your answer.
Post and respond to at least two other posts.
Answer:
Explanation:
Functionalism: According to functionalism, social inequality is necessary for the smooth functioning of society. This means that even if all the world's wealth and assets were equally divided, people's skills, abilities, and efforts would still differ, leading to differences in income and wealth. Moreover, social positions that require more education, training, and skills would still be rewarded more highly than those that require less. Therefore, some people would still be motivated to achieve more than others and occupy higher social positions. Additionally, some people might not want to work hard and would be content with their share, while others might want to invest their share and accumulate more wealth. This would lead to differences in wealth and income over time, leading to the re-emergence of social stratification.
Conflict Theory: According to conflict theory, social inequality is the result of the struggle for power and resources between different social groups. Even if all the world's wealth and assets were equally divided, some people or groups would still try to monopolize the resources and accumulate more wealth and power than others. For example, some people might try to control the means of production, such as land, factories, and capital, while others might try to control the distribution of goods and services, such as markets, transportation, and communication. Moreover, some people might have more social and cultural capital, such as education, networks, and prestige, which would give them an advantage in achieving their goals. Therefore, social stratification would still exist, but in different forms and with different justifications.
Interactionism: According to interactionism, social inequality is the result of the symbolic meanings and interpretations that people attach to wealth, status, and power. Even if all the world's wealth and assets were equally divided, people would still have different attitudes, values, and beliefs about them, which would affect their behavior and interactions. For example, some people might feel more entitled to a higher share of the wealth and assets because of their race, gender, religion, or nationality, while others might feel less entitled or even resentful. Moreover, some people might use their wealth and assets as symbols of their identity, status, and prestige, while others might reject them as meaningless or corrupt. Therefore, social stratification would still exist, but in different symbolic forms and meanings.
Response to Post 1:
I agree with your analysis from the perspective of functionalism. Even if all the world's wealth and assets were equally divided, people's skills, abilities, and efforts would still differ, leading to differences in income and wealth. Moreover, some people might not want to work hard and would be content with their share, while others might want to invest their share and accumulate more wealth. This would lead to differences in wealth and income over time, leading to the re-emergence of social stratification. Additionally, social positions that require more education, training, and skills would still be rewarded more highly than those that require less. Therefore, the functionalist perspective suggests that social inequality is not only inevitable but also necessary for the smooth functioning of society.
Response to Post 2:
I appreciate your analysis from the perspective of conflict theory. Even if all the world's wealth and assets were equally divided, some people or groups would still try to monopolize the resources and accumulate more wealth and power than others. For example, some people might try to control the means of production, such as land, factories, and capital, while others might try to control the distribution of goods and services, such as markets, transportation, and communication. Moreover, some people might have more social and cultural capital, such as education, networks, and prestige, which would give them an advantage in achieving their goals. Therefore, social stratification would still exist, but in different forms and with different justifications. The conflict
In a game of billiards you give the ball a speed of
0.76 m/s. How much time does it take for the ball to
cover a distance of 0.23 m?
The time taken for the ball to cover a distance of 0.23 m is 0.3 s
What is speed?Speed is the distance travelled per unit. Mathematically, it can be expressed as:
Speed = distance / time
With the above formula, we can determine the time. Detail below:
How to determine the timeFrom the question given above, the following data were obtained:
Speed = 0.76 m/sDistance = 0.23 mTime =?Speed = distance / time
0.76 = 0.23 / time
Cross multiply
0.76 × time = 0.23
Divide both side by 0.76
Time = 0.23 / 0.76
Time = 0.3 s
Thus, the time taken for the ball to cover the distance is 0.3 s
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What happens when a charged balloon is brought close to a wall?
The balloon becomes negatively charged.
The charges in the wall rearrange themselves.
The wall and the balloon repel each other.
The wall becomes negatively charged.
Answer:
a the balloon becomes negatively charged
When a charge balloon brought closer to the wall, they will repel each other. Option C is correct.
Electric Charge:
It shows the degree at which the atom or object has less or more electron than proton.
An atom with extra electrons than proton has negative charge while atoms will less electron than proton has positive charge.
Opposite charge always attracts while similar charges repel each other. Since both wall and balloon are negatively charged.
Therefore, when a charge balloon brought closer to the wall, they will repel each other.
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What is the difference between radial acceleration and tangential acceleration and how do you calculate both of these accelerations?
Answer:
Tangential acceleration is in the direction of velocity - along the circumference of a circle if the object is undergoing circular motion
a = (V2 - V1) / T
Radial acceleration is perpendicular to the direction of motion if the object is not moving in a straight line (perhaps along the circumference of a circle)
a = m V^2 / R = m ω^2 R where R is the radius vector of the velocity - note that the Radius vector is directed from the center of motion to the object and for circular motion would be constant in magnitude but not in direction
ASAP DUE TO DAY PLS HELP MEEEEEE
1. Kinetic energy is the energy of:
A. potential
B. objects at rest
C. objects in motion
D. accelerating objects
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Jibari walks 40.0 meters east in 120.0 seconds. He then walks 30.0 meters west in 60.0 seconds. What is his average velocity for the trip??
We divide the total distance travelled by the period of time to determine the average speed. By dividing the displacement by the time interval, we can determine the average velocity.
How do you calculate a trip's average speed?Average speed was measured by dividing the overall distances you travelled by the total time, whereas average velocity is determined by dividing your movement (a vectors pointing from the initial position toward your end position) by the whole time.
What is an illustration of average speed?For instance, someone travelling at an average speed over 40 miles split by 10 mins, meaning 1 mile per minute, is travelling twenty miles to the north and afterwards 20 miles south (60 mph).
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What is the difference between classical mechanics and quantum mechanics?
Classical mechanics describes the motion of objects on a macroscopic scale, while quantum mechanics deals with the behavior of particles on a microscopic scale. Classical mechanics is deterministic, meaning that it predicts precise outcomes based on initial conditions, while quantum mechanics is probabilistic, providing probabilities of different outcomes. Classical mechanics follows the principle of causality, where every effect has a specific cause, whereas quantum mechanics introduces inherent uncertainty and wave-particle duality. Classical mechanics is well-suited for describing everyday objects, while quantum mechanics is necessary to explain the behavior of particles at the atomic and subatomic levels.
~~~Harsha~~~
Write a short essay describing the six key features of Mesopotamia. Be sure to include how it advanced human society as a whole.
Mesopotamia, with its key features of specialization, government, cities, religion, trade, and written records, advanced human society by fostering economic growth, establishing governance structures, creating urban centers, facilitating cultural exchange, promoting trade networks, and revolutionizing communication and knowledge preservation through writing.
Mesopotamia, often referred to as the "cradle of civilization," possessed several key features that contributed to its advancement and influenced human society as a whole. These features include specialization, government, cities, religion, trade, and written records. Let's explore each of these key features and their significance.
Specialization: Mesopotamian society developed specialization, where individuals began to focus on specific occupations and trades. This led to the emergence of skilled craftsmen, farmers, priests, scribes, and merchants. Specialization allowed for the production of surplus goods, leading to economic growth and the establishment of a more complex society.
Government: Mesopotamia witnessed the development of early forms of government. Initially, city-states were governed by religious leaders known as priest-kings. Over time, as society grew more complex, secular leaders, such as kings, emerged to rule the city-states. These early forms of governance laid the foundation for later systems of government and administration.
Cities: Mesopotamia was characterized by the rise of urban centers. These cities served as political, economic, and cultural hubs. They were densely populated, with advanced infrastructure, including defensive walls, temples, markets, and residential areas. The cities of Mesopotamia, such as Ur, Uruk, and Babylon, provided the framework for the organization and development of early urban societies.
Religion: Religion played a central role in Mesopotamian society. The people of Mesopotamia believed in a pantheon of gods and goddesses and practiced polytheism. Temples were constructed as sacred spaces to honor and worship deities. Priests held significant influence, serving as intermediaries between the people and the divine. Religious beliefs and rituals provided a sense of identity, social cohesion, and moral guidance to the Mesopotamian community.
Trade: Mesopotamia's strategic location between major rivers, the Tigris and Euphrates, facilitated extensive trade networks. The abundance of resources, such as fertile land for agriculture, allowed for surplus production. This surplus was exchanged with neighboring regions, fostering trade and the establishment of commercial relationships. The exchange of goods and ideas through trade networks promoted cultural diffusion and contributed to the overall prosperity and interconnectedness of Mesopotamia.
Written Records: Mesopotamia is credited with the invention of writing, making it one of the earliest literate civilizations. Scribes used wedge-shaped marks known as cuneiform to record important information on clay tablets. The development of writing enabled the recording of laws, contracts, administrative documents, literature, and historical accounts. Written records not only facilitated communication and administration but also served as a means of preserving knowledge and passing it down through generations.
Collectively, these key features of Mesopotamia played a pivotal role in advancing human society as a whole. Specialization allowed for the efficient allocation of resources and the growth of economies. The establishment of early forms of government provided organization and stability to communities. Urbanization transformed social structures and fostered cultural and intellectual exchange. Religion served as a unifying force and provided a moral framework. Trade networks expanded horizons and facilitated the exchange of goods and ideas. Finally, the invention of writing revolutionized communication, education, and the preservation of knowledge.
Therefore, Mesopotamia's legacy as a cradle of civilization lies in its ability to establish foundations for complex societies, laying the groundwork for subsequent advancements in various aspects of human life.
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solve x^2-24x=-50 by completing the square
We have
\(x^2-24x=-50\)We need to complete the square
\(a^2+2ab+b^2\)in thi case
a=x
2ab=-24x
2xb=-24x
b=-12
\(\begin{gathered} x^2-24x+144=-50+144 \\ (x-12)^2=94 \end{gathered}\)Then for each solution we have
\(\begin{gathered} x-12=\pm\sqrt[]{94} \\ \end{gathered}\)\(\begin{gathered} x_1=12-\sqrt[]{94} \\ x_2=12+\sqrt[]{94} \end{gathered}\)what is the turns ratio of a primary transformer with 208 volts and the secondary with 24 volts
By dividing the number of turns on the primary (Np) by the number of turns on the secondary (Ns), one can determine a transformer's turns ratio (Np/Ns) (Ns). As a result, Np/Ns = 8.66 is roughly the turns ratio.
What is the ratio of a transformer's main to secondary turns?Using the turns ratio method is a simpler method. By dividing the higher number of turns by the smaller number of turns, you can find a ratio. For instance: A transformer with a turns ratio of 2:1 will have 100 primary turns and 50 secondary turns.
We can instead apply the following formula:
Vs/Vp = Ns/Np Plugging in the values given:
Vs = 24 V
Vp = 208 V
Vs/Vp = Ns/Np
24/208 = Ns/Np
Simplifying:
0.1154 = Ns/Np
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A magnetic field B = 20.0 mT points in the +y-direction. A rectangular circuit of wire with an area of 200 cm2, which is initially in the xz-plane, rotates into the xy-plane as shown. If this process is smooth and takes 1.2 seconds, what is the magnitude of the emf induced in the loop?
If the process is smooth and only takes the given time, the magnitude of the emf induced in the loop is 3.33 × 10⁻⁴Volts.
Given the data in the question
Magnetic field; \(B = 20mT = 20 * 10^{-3}T\)Area; \(A = 200cm^2 = 0.02m^2\)Time; \(\delta t = 1.2s\)Magnitude of the emf induced in the loop; \(|e| =\ ?\)
From Faraday's law, formula for Induced emf is given as:
\(|e| = -\frac{\delta\theta}{\delta t} \\\\|e| = -\frac{\delta (BAcos\theta)}{\delta t} \\\\|e| = -BA\frac{\delta (cos\theta)}{\delta t}\)
Where \(\delta\theta\) is the change in flux, \(\delta t\) is time taken to change the flux, B is the Magnetic field and A is the area.
We know that; \(\theta = 0^o\ to\ 90^o\), so
\(|e| = -BA\frac{(cos90^o -cos0^o)}{\delta t}\)
Now, we substitute in our given valueslux
\(|e| = [-(20*10^{-3}T)*0.02m^2]\frac{(cos90^o -cos0^o)}{1.2s}\\\\|e| = (-0.0004Tm^2)\frac{(0-1)}{1.2s}\\\\|e| = \frac{0.0004Tm^2}{1.2s}\\\\|e| = 3.33*10^{-4}Volts\)
Therefore, if the process is smooth and only takes the given time, the magnitude of the emf induced in the loop is 3.33 × 10⁻⁴Volts
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Please do help me. Nonsense answers will be reported.
An object is thrown horizontally with a speed of 30 m/s from the top of a building. Complete the table below for the indicated time interval. Use g≈ 10 m/s²)
The time that was taken for the movement of the item is observed as 3 seconds.
How do you use the equations of motion?The equations of motion describe the motion of objects in terms of their position, velocity, acceleration, and time.
For the equation;
v = u + at
This equation relates the final velocity (v) of an object to its initial velocity (u), acceleration (a), and time (t). If three of these variables are known, the equation can be rearranged to solve for the unknown variable.
We know that;
v = u - gt
We know that the object would come to rest after being thrown.
0 = 30 - 10t
-30 = - 10t
t = 3 seconds
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give reasons with examples why houses are made up of bricks and cement instead of metal
Answer:
The most important is that the thermal conductivity of the armadillas several orders of magnitude lower than the thermal conductivity of the metal, therefore it is easier to maintain the temperature in winter
Explanation:
Cement and bricks are used in the construction of houses instead of metal, for several reasons
* The most important is that the thermal conductivity of the armadillas several orders of magnitude lower than the thermal conductivity of the metal, therefore it is easier to maintain the temperature in winter
* Metal has more oxidation problems than brick
* The cost of sheet metal is higher than the cost of cement brick.
URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!!
Answer: Your answer will be D
Explanation:
What is the vibrating source that creates sound waves?
Answer:
Sound is produced when an object vibrates, creating a pressure wave. This pressure wave causes particles in the surrounding medium (air, water, or solid) to have vibrational motion. As the particles vibrate, they move nearby particles, transmitting the sound further through the medium.
Two cars collide head-on and stick together.
Car A, with a mass of 2000 kg, was initially
moving at a velocity of 10 m/s to the east. Car
B, with an unknown mass, was initially at rest.
After the collision, both cars move together at
a velocity of 5 m/s to the west. What is the
mass of Car B?
OF
The mass of Car B is -6000 kg.
To solve this problem, we can apply the principle of conservation of momentum, which states that the total momentum before the collision is equal to the total momentum after the collision.
Therefore, we can write the equation for the conservation of momentum as:
(mass of Car A * velocity of Car A) + (mass of Car B * velocity of Car B) = (mass of Car A + mass of Car B) * velocity after collision
Let's substitute the given values into the equation:
(2000 kg * 10 m/s) + (mass of Car B * 0 m/s) = (2000 kg + mass of Car B) * (-5 m/s)
Simplifying the equation:
20000 kg*m/s = -5 m/s * (2000 kg + mass of Car B)
Dividing both sides by -5 m/s:
-4000 kg = 2000 kg + mass of Car B
Subtracting 2000 kg from both sides:
mass of Car B = -4000 kg - 2000 kg
mass of Car B = -6000 kg
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