To calculate the amount of heat needed to increase the temperature of 150 grams of water from 25 degrees Celsius to 55 degrees Celsius, we can use the formula: Q = mcΔT, where Q is the amount of heat, m is the mass of the substance (in this case, water), c is the specific heat capacity of water, and ΔT is the change in temperature.
First calculate the change in temperature:ΔT = (final temperature) - (initial temperature)ΔT = (55°C) - (25°C)ΔT = 30°C.
Now, we can use the specific heat capacity of water, which is 4.184 J/g°C, to calculate the amount of heat needed: Q = mcΔTQ = (150 g) x (4.184 J/g°C) x (30°C)Q = 18828 J.
Therefore, the amount of heat needed to increase the temperature of 150 grams of water from 25 degrees Celsius to 55 degrees Celsius is 18,828 J.
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The radius of a circle is increasing at a constant rate of 0. 4 meters per second.
The radius of a circle is increasing at constant rate of 0.4 meters per second The rate of increase in the area of the circle at the instant when the circumference of the circle is 60π m is 24 π sec. The correct answer is B.
A circle's radius grows at a constant rate of 0.2 m/sec.
The circle's immediate circumference is m.
We are aware of what the circle's area is.
A =π r²
Compare equation with regard to time t.
dA/dt = 2π r dr/dt
while dr/ dt = 0. 2m/ sec
so
dA/dt = 0.8 π r
The circle's circumference is also known to be,
C= 2π r
60π = 2π r
r = 30
Now put the value r in equation
dA/dt = 0.8 π r
dA/dt = 0.8 π 30
dA/dt = 24 π
Your question is incomplete but most probably your full question was
The radius of a circle is increasing at constant rate of 0.4 meters per second What is the rate of increase in the area of the circle at the instant when the circumference is 60π ? m"
(A) 0.24 π sec (B) 24 π sec (C) 247π sec (D) 30π sec (e)240π sec
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A motion has been made that the Taylorsville Community Group participate in the communit
"Toys for Tots" fund-raising campaign. You are the chairperson.
What type of motion is this?
The Taylorsville Volunteer Organization participating in the community is the subject of a key motion.
What is motion?The motion of an object is the change in its position over time. It can be measured in speed, velocity, and acceleration. Speed is how fast an object is moving, velocity is speed in a particular direction, and acceleration is the rate of change of velocity. Motion can be linear, circular, or oscillatory. Linear motion is the movement of an object in a straight line, circular motion is the movement of an object in a circle, and oscillatory motion is the movement of an object back and forth. Motion can also be described in terms of forces like gravity, friction, and momentum.
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How much potential energy does a 20,000 kg rock on top of a 7,800 m cliff?
The potential energy of the rock of mass 20000 kg is 1528800000 J.
What is potential energy?Potential energy is the energy of a body due to the position of the body in the gravitational field.
To calculate the potential energy of the rock, we use the formula below.
Formula:
P.E = mgh................ Equation 1Where:
P.E = Potential energym = Mass h = Heightg = Acceleration due to gravityFrom the question,
Given:
m = 20000 kgh = 7800 mg = 9.8 m/s²Substitute these values into equation 1
P.E = 20000×7800×9.8P.E = 1528800000 JHence, the potential energy of the rock is 1528800000 J.
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This is a photo of the constellation Orion. Orion can be seen from most places in the world at some point during the year. Orion is not seen from the same place all year long because
Orion can be seen from most places in the world at some point during the year but is not seen from the same place all year long because the earth orbits the sun which result in changes in the night view.
What is Orion?This is referred to as a prominent constellation located on the celestial equator and visible throughout the world ans it is the most conspicuous in the night sky.
This is therefore the reason why it can be seen from most places in the world at some point during the year. During some periods, it is not seen from the same place all year long because the earth orbits the sun which result in changes in the night view and hinders people from seeing it.
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in science, what is occurring when two atoms collide to form a larger atom?
Answer: Fusion
Explanation:
This is the process when two atoms collide and combine to make a bigger atom.
What will be the acceleration, if a vehicle started from rest and its velocity reached 20 m/s after 5 second? Calculate. Ans: 4m/s (2)
Answer: 4m/s2 ✅
Explanation: A vehicle started from rest and its velocity reached 20m/s after 5 seconds. To calculate the acceleration, we can use the formula: acceleration = (change in velocity) / (change in time).
The change in velocity is 20m/s - 0m/s = 20m/s (the final velocity minus the initial velocity)
The change in time is 5 seconds (the time it takes for the velocity to change)
So the acceleration of the vehicle is (20m/s) / (5s) = 4m/s2✅
Answer: The acceleration of the car starting from rest is 4 m/s^2✅
Explanation:
It is an exercise of uniformly varied rectilinear movement.
What will be the acceleration, if a vehicle started from rest and its velocity reached 20 m/s after 5 second?
Data:
a = acceleration = ?
Vo = initial speed = 0
Vf = Final speed = 20 m/s
t = time = 5 s
The formula to calculate the acceleration is a = (Vf - Vo)/t, but it tells us that the car starts from rest, that is, it has no initial velocity, we clear the formula and we are left:
a = Vf/t
a = (20 m/s)/5 s
a = 4 m/s²
The acceleration of the car starting from rest is 4 m/s^2✅.
What is an expression for the volume of the following rectangular prism?
For a rectangular prism, the expression volume is calculated as V = l ⋅ w ⋅ h , where l is the length, w is the width, and h is the height of the rectangular prism.
Volume of Rectangular Prism and Surface AreaIt is much simpler to calculate the surface area and volume of a rectangular prism once it is understood that this type of prism is composed of some sets of identical forms.
The volume of a rectangular prism may be calculated by multiplying its length by its breadth by its height. The surface area of a rectangular prism can be calculated by adding the areas of each of its sides.
If you are familiar with the formulas for the surface area and volume of a rectangular prism, it will be much simpler for you to deal with different geometric shapes.
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The change in internal energy of a system is -5.155 kJ. The system absorbs 2500 J of heat.
Which of the following BEST describes the work related to the system?
A The system performs 7.655 kJ of work on the surroundings.
B The system has 7.655 kJ of work done by the surroundings.
C The system has 2.655 kJ of work done by the surroundings.
D The system performs 2.655 kJ of work on the surroundings.
The work done by the system is -2.655KJ. This states that the system performs 2.655KJ of work on the surroundings. Thus, the correct option is D.
What is work done?Work done is defined as the product of force and the distance over which the force is applied on the object. Work is done when a force is applied to an object and the object experiences motion through a distance.
Given that the work is done on the surrounding, i.e., the work is done by the system and the heat is absorbed by the system.
Therefore,
ΔU = -5.155KJ
q = 2500J = 2.5KJ
Now from first law of thermodynamics,
ΔU = q + w
-5.155 = 2.500 + w = -2.655KJ
w = -2.655KJ
Hence the work done is -2.655kJ.
Therefore, the system performs 2.655KJ of work on the surroundings. The correct option is D.
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A ball is attached to the end of a string. It is swung in a vertical circle of radius 0.90 m. What is the minimum velocity that the ball must have to make it around the circle?
Moving in a vertical circle If the distance is calculated using a fixed point, it will be the same everywhere. The ball needs to travel around the circle at a minimum speed of 44.1 m/s.
What is called velocity?The vectorial expression of velocity is the movement in space-time of an object or particle. The recognised unit of velocity magnitude is the metre per second (m/s) (also known as speed). The rate of speed can also be expressed in centimetres per second (cm/s). The pace at which an object's location changes as seen from a certain angle and as stated by a specific time unit (for example, 60 km/h northbound) is measured by its velocity, which is the direction in which it is travelling.
What is velocity in physics?As a physical vector quantity, velocity must have a specified magnitude and direction. Speed is a coherent derived unit whose quantity is measured in metres per second (m/s or ms1) in the SI. Speed is the scalar absolute value (magnitude) of velocity (metric system). A vector is "5 metres per secon.
The vertical circle has a radius of 0.90 metres.
As the ball rotates vertically and continuously in a circular motion. As a result, the ball will move at the same speed at each point.
Consequently, the centripetal force ought to be constant at each location, that is,
mv2/R
Here, m stands for mass. R is the radius, and v is the speed.
The tension operating on the ball (towards the centre) and the gravitational force acting on it counteract this centripetal force. Thus,
mv2/R=T+mg
The tension should be zero for the minimal velocity. Thus,
mv2/R=mg
Simplify it as,
V2/R=g
V=√Rg
Assume that V is the initial velocity.
1/2mv2=mg(2R)+1/2m(√(gR^2 )
V=√5gR
G's squared value is 9.8 m/s. The ball must therefore move at a minimal speed in order to complete the circle:
V=5×9.8×0.90
V=44.1m/s
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what is the meaning of translational kinetic energy
Answer:
Translational Kinetic Energy Definition
The energy possessed by a body or object due to its velocity in one direction is called translational kinetic energy.
Answer:
Translational kinetic energy is the movement of chemical entity's center of mass.
Example: A train moving on a track or any object free falling due to gravity.
Describe an experiment to investigate the relation between efficiency and load using a block and tackle pulley system.
Answer:
An experiment to investigate the relationship between efficiency and load using a block and tackle pulley system could be set up as follows:
1.Set up a block and tackle pulley system, with a fixed pulley at the top and a movable pulley at the bottom. The pulleys should be mounted on a sturdy frame, and the rope should be of a known length and thickness.
2.Attach a weight to one end of the rope, and a load cell to the other end. The load cell will measure the force applied to the rope.
3.Record the weight of the load and the force applied to the rope using the load cell.
4.Measure the distance the load is raised, and record this distance.
5.Repeat steps 3 and 4 for different loads, increasing the weight of the load in increments of, for example, 5 kg.
6.Calculate the efficiency of the pulley system for each load by dividing the work output by the work input and multiplying by 100. The efficiency of the system can be calculated as follows: Efficiency = (Work out / Work in) * 100.
7.Plot a graph of efficiency against load, and observe the relationship between the two variables.
8.Repeat the experiment with different pulley systems, such as a single pulley system and a double pulley system and compare the results.
9.Record the results and any observations and Analyze the data and make conclusions about the relationship between efficiency and load in a block and tackle pulley system.
An amusement park ride consists of a rotating circular platform 10.8 m in diameter from which 10 kg seats are suspended at the end of 2.85 m massless chains. When the system rotates, the chains make an angle of 38.2 ◦ with the vertical. The acceleration of gravity is 9.8 m/s 2 . θ l d What is the speed of each seat? Answer in units of m/s. 012 (part 2 of 2) 10.0 points If a child of mass 36.8 kg sits in a seat, what is the tension in the chain (for the same angle)?
This question discusses circular motion. Circular motion is the motion of an object that forms a circular path around a fixed point. An object moving in a circle needs a force that always deflects it toward the center of the circular path. This force is called the centripetal force.
Horizontal equilibrium T sinθ = m x v²/r
r = D/2 = 10.8/2 = 5.4 m
From the above two equations, mg tanθ = m x v²/r
but from the figure
r = L sinθ + 5.4 m
r = (2.85 x sin38.2 + 5.4)
r = (2.85 x 0.6184 + 5.4) = 7.1 m
So,
v² = g x tanθ x r
v² = 9.8 x tan38.2 x 7.1
v² = 9.8 x 0.78 x 7.1
v = √54.27
v = 7.36m/s
The speed of each seat is 7.36m/s.
If a child of mass 36.8 kg sits in a seat:
Tenson T = mv²/r
T = 36.8 x 7.36²/(7.1)
T = 280 N
So, the chain tension is 280 N.
Writing the right questions:
An amusement park ride consists of a rotating circular platform 10.8 m in diameter from which 10 kg seats are suspended at the end of 2.85 m massless chains. When the system rotates, the chains make an angle of 38.2◦ with the vertical. The acceleration of gravity is 9.8 m/s.
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What is the formula of magnetic field?
The formula for magnetic field is B = μo(H + M).
The magnetic field of a magnet is the area around it in which a magnetic force is exerted. It is represented by the symbol B and follows the equation B = μo(H + M).
Here, μo is the permeability of free space, H is the magnetic field intensity and M is the magnetization.
The magnetic field can be measured by a variety of instruments such as a Hall probe or a flux meter. It can also be calculated using mathematical models such as the Biot-Savart law or Ampère's law.
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5 decades is what fraction of a century?
What are the main disadvantages for alternative energy sources solar biomass wind geothermal and hydropower )?
Disadvantages of renewable energy
Renewable energy has many benefits, but it’s not always sunny when it comes to renewable energy. Here are some cons of renewable energy when compared to traditional fuel sources:
Renewable energy has high upfront costs Renewable energy is intermittent Renewables have storage capabilities Renewable energy sources have geographic limitations Renewables aren’t always 100% carbon-freeRenewable energy typesThe increasing use of energy sources makes people to find other options than the current energy sources. The types of renewable energy are as follows.
SolarThis type of energy comes from the process of capturing solar radiation or sunlight, then converting it into electricity, heat, or hot water. To get electricity, the sun's heat will be absorbed using solar panels (solar panels) and then convert it into electricity.
Wind energyWind is moving air. Wind has long been used as a source of energy. For example in the Netherlands, the wind is used to drive a pinwheel. This kincie serves as a source of grain processing equipment. Currently, electricity is also able to generate electricity by utilizing turbines. This turbine is used to drive a generator that generates electricity.
Tidal energyThis energy is obtained from the results of the tides. It is known, this type of energy is also used on the east coast of America and Europe. The turbines installed on the waterfront help convert energy from the tides into mechanical energy to grind grain.
Wave EnergyThis type of energy is used to generate electricity. It's just that developing wave energy requires infrastructure with a relatively high cost.
Ocean thermal energySea water has a temperature difference where the inside of the sea water feels cold and the surface of the sea water feels hot because it is exposed to sunlight. This temperature difference is used to generate electrical energy using advanced technology.
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Identify a form of pollution that you observe in your community
An example could be land pollution, like when you see garbage and plastic littered across the grass/sidewalk
i'm behind a car and wish to pass so you turn to the left and pull into the passing lane without changing speed why does the distance increase between you and the car you're following
Since the component of your velocity along the road decreased slightly as there was a component across the road when you changed lanes, the distance increased.
Which element, which disrupts attention, raises risk when driving a car?Driving while distracted might raise the likelihood of a car accident. Distractions include anything that diverts your focus from operating a vehicle. Distracted driving includes a variety of activities, including as texting, chatting on the phone, using a navigation system, and eating while operating a vehicle.On the left, overtake traffic. Only when the open roadway is clearly signposted for two or more lanes of traffic in your direction are you allowed to pass on the right. You do not drive off the road to pass the vehicle in front of you when they are making a left turn.To learn more about velocity refer to:
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10kg shopping cart is pushed with 23 N force over 39 m distance how fast is shopping car traveling after that point?
The shopping car is traveling with speed of 13.40 m/s after that point.
What is acceleration?Acceleration is the rate at which speed and direction of velocity vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates.
Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Due to having both direction and magnitude, it is a vector quantity.
Acceleration of the cart = 23 Newton/10 kg = 2.3 m/s²
Hence, Final speed of the cart after traveling 39 m is = √(2 ×2.3 ×39) m/s
= 13.40 m/s.
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A block on the end of a spring is pulled to position x = a and released from rest. In one full cycle of its motion, what total distance does the block travel?.
The total distance that block travel is 4 A.
How to find the total distance does the block travel?In one full complete cycle of a motion. The block will move back and forth from its original position. Because of the block is pulled to the position x = A, we can say the initial distance travelled = A. When the block is released from the others after being pulled. The cycle = A + A + A = 3A. To hit one full cycle of its motion, the block has to travel, so,
the total distance = 3A + A = 4A
Hence, it is confirm that the total distance the block travel is 4A
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Explain why it is important to identify the health risks in your life
Knowing the risks you and your family may face can help you find ways to avoid health problems.
What is health risk?Health risk can be defined as the chance or likelihood that something will harm or otherwise affect your health. health risk is something that increases your chance of developing a disease.
The main health risk are :
Physical Activity and NutritionOverweight and ObesityTobaccoSubstance AbuseHIV/AIDSMental HealthInjury and ViolenceEnvironmental QualityTherefore knowing the risks and benefits of a medical treatment can help you and your doctor make informed decisions and It can also keep you from fretting over unlikely threats.
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A regulation basketball has a 49 cm diameter and may be approximated as a thin spherical shell. How long will it take a basketball starting from rest to roll without slipping 3.7m down an incline that makes an angle of 51.9° with the horizontal?
The acceleration of gravity is 9.81m/s².
Answer in units of s.
The time taken for the basketball to roll down without slipping is 1.02 seconds.
What is the final speed of the basket ball?The final speed of the basket ball when it rolls to the ground is calculated by applying the principle of conservation of angular momentum.
Fr = Iα
mgd = Iα
where;
m is the mass of the ballg is acceleration due to gravityd is the distance travelled by the ballI is the moment of inertiaα is the angular accelerationThe formula for moment of inertia of a thin spherical sphere is given as;
I = ²/₃MR²
mgd = Iα
mgd = (²/₃MR²)α
gd = (²/₃R²)(ω²/2θ)
gd = (²/₃R²)(v²/(R² x 2θ) )
gd = (²/₃)(v²) /(2θ)
2θgd = ²/₃(v²)
3θgd = v²
v = √ (3θgd)
where;
θ = 51.9° = 0.91 radv = √ ( 3 x 0.91 x 9.8 x 3.7 )
v = 9.95 m/s
The time taken for the ball is calculated as follows;
v = u + gt
v = 0 + gt
t = v / g
t = ( 9.95 ) / ( 9.8 )
t = 1.02 seconds
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A solid cube of mass 87 kg and edge length 0.95 m rests on a horizontal floor as shown below. A person then pushes on the upper edge of the cube with a horizontal force of magnitude F. At what value of F will the cube start to tip? Assume the frictional force from the floor is large enough to prevent the cube from sliding.
The force required to tip the cube is equal to the coefficient of static friction times the weight of the cube.
fx=μs * 87 kg * 9.8 m/s^2
What is the force required to tip the cube?Generally, The cube will start to tip when the net torque about the point of contact between the cube and the floor is equal to zero. The torque is given by:
torque = force x distance from axis of rotation
The distance from the axis of rotation is half the edge length of the cube (0.475m), and the force is the force applied by the person (). Therefore, the torque is:
torque = fx x 0.475
For the cube to tip, the torque due to the person's force must be greater than the maximum torque the friction can provide, which is the friction force times the distance from the axis of rotation.
The maximum torque provided by friction is:
friction torque = friction force x 0.475
Since the friction force is equal to the normal force (mg) multiplied by the coefficient of static friction (μs), the maximum torque provided by friction is:
friction torque = μs * mg * 0.475
where m is the mass of the cube, g is the acceleration due to gravity and μs is the coefficient of static friction between the cube and the floor.
So, we can find the force needed to tip the cube by equating the torque due to the force with that of the friction torque.
Fx*0.475 = μs * m * g * 0.475
Fx= μs * m * g
Fx= μs * 87 kg * 9.8 m/s^2
Note: The coefficient of static friction (μs) is a dimensionless quantity between 0 and 1, it varies depending on the surfaces in contact.
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after a day of testing race cars, you decide to take your own 1560 kg car onto the test track well moving down the track at 10 m/s. You suddenly accelerate to 27 m/s in eight seconds. What is the average net force that you have applied to the car during the eight second interval?
The force applied to the car of mass 1560 kg is 1365 N.
What is force?Force is the product of mass and acceleration.
To calculate the force applied to the car, we use the formula below.
Formula:
F = m(v-u)/t............................ Equation 1Where:
F = Forcem = Massv = Final velocityu = Initial velocityt = TimeFrom the question,
Given:
m = 1560 kgv = 27 m/su = 10 m/st = 8 sSubstitute these values into equation 1
F = 1560(27-10)/8F = 1560×7/8F = 1365 NHence, the force applied is 1365 N.
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9.4 million km in light year.
Hey there!
Answer:
9.4 million kilometers (km) converted to light years would be 9.93580784e-7 I believe.
Hope this helps!
a truck hits a brick wall with a force of 100 000 kg m/s2. the truck comes to a stop in 0.5 s. calculate the impulse the truck experienced
Answer:
[tex]\huge\boxed{\sf I = 50,000\ Ns}[/tex]
Explanation:
Given data:Force = F = 100,000 N
Time = t = 0.5 s
Required:Impulse = I = ?
Formula:I = F × t
Solution:I = 100,000 × 0.5
I = 50,000 Ns
[tex]\rule[225]{225}{2}[/tex]
m=10kg l=100m h=5m Ep=? v=?
The potential energy (Ep) is 490 J and the velocity is 9.9 m/s.
Calculating the potential energy (Ep) :To calculate the potential energy (Ep) of an object with mass M at a height h above a reference point, you can use the formula:
Ep = M * g * h
where,
g =the acceleration due to gravity (approximately 9.8 m/s² on the surface of the Earth).
M = mass
h = height
For this case:
Ep = 10 kg * 9.8 m/s² * 5 m
Ep = 490 J
To calculate the velocity (v) of an object in free fall, you can use the formula:
v = [tex]\sqrt{2gh}[/tex]
So in this case:
v = [tex]\sqrt{2 * 9.8 m/s^{2} * 5 m }[/tex]
v = 9.899 m/s
v ≈ 9.9 m/s
Note: These formulas assume that the object is in free fall and that there is no air resistance or other forces acting on the object.
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ice crystals that form by accretion are fairly large. explain why they fall slowly.
Ice crystals that form by accretion are fairly large, they fall slowly because of there high surface area to volume ratio, which cause high air resistance.
Ice crystals that form by accretion are large and have a high surface area to volume ratio. This high surface area causes more air resistance, which slows their fall. The larger the surface area, the more air resistance there is, and the slower the crystals fall. Additionally, the shape of the crystals can also affect their fall speed, with more irregular shapes experiencing more air resistance and thus falling slower. Ice crystals are the building blocks of snowflakes and have a well-defined and ordered internal structure. The structure of an ice crystal depends on the conditions under which it forms, such as temperature and humidity. At very cold temperatures, the crystals are usually simple hexagonal structures, while more complex branching structures can form at warmer temperatures.
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a pulse covers a distance of 5m in 15seconds . Calculate the sped of the pulse.
According to the question the speed of pulse is = 0.33m/s
What does "speed" in science mean?Velocity is the pace and direction of either an object's movement, whereas speed is now the time rate which an object is travelling along a path. In other words, velocity is a vector, whereas speed would be a scalar value. If you determine how far an object travels in a certain amount of time, you can calculate its speed.For instance, an automobile is moving at a pace of 70 miles per hour if it covers 70 miles in an hour .
How is speed measured?The equation for speed can be obtained by simply dividing time by distance.
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You will choose a weekend activity and plan it accordingly in this practice. Assume
you will be gone for two days and two nights.
Answer the following questions based on what you have learned.
Weekend activity:
The major academic purposes of homework are to help children: —review and practice what they have learned, get ready for the next day's class .
What is an academic person?
An academic is a person who holds a teaching and/or research position at an institution of higher education such as a university, academy, college, seminary, conservatory or institute of technology. The following are examples and counterexamples of who is typically considered an academic.
What means academic education?
Academic education is research-based and consists of academic bachelor's and master's programmes. For academic bachelor's programmes, the main aim is for students to continue their studies in a master's programme. Academic master's programmes are academically oriented but can also include a professional orientation.
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What are the benefits and drawbacks of using geothermal energy as a source of electricity?
Compared to traditional fuels, this energy source is more environmentally benign. a supply of clean energy.
With continued industry research and development, there will be more geothermal resources that can be used for energy production. a sustainable source of energy since, unlike wind and solar, it is constantly available. No fuel is necessary.
The fact that geothermal energy is location-specific is its biggest drawback. Digging causes the discharge of gases into the atmosphere. Earthquakes may be sparked by geothermal energy. High upfront expenses of $2 to $7 million for a plant with a 1-megawatt capacity make this resource expensive to use. No fuel is necessary.
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