Answer:
To solve this problem, you can use the following formula:
v = sqrt(k / m) * A
In this formula, v is the velocity of the mass, k is the spring constant, m is the mass of the object, and A is the amplitude of the oscillation.
Since you know the velocity of the mass at 0.25 seconds, you can substitute this value into the formula and solve for A:
2.3 m/s = sqrt(200 N/m / 3.00 kg) * A
A = 2.3 m/s / sqrt(200 N/m / 3.00 kg)
= 0.23 m
So, the amplitude of the oscillation is approximately 0.23 meters.
To find the maximum velocity of the mass, you can substitute the values for k, m, and A into the formula for velocity:
v = sqrt(200 N/m / 3.00 kg) * 0.23 m
= 2.75 m/s
So, the maximum velocity of the mass is approximately 2.75 m/s.
state 2 precautionary measures you would take to maintain the efficiency of an accumulator
On gas-loaded accumulators, safety devices like relief valves, burst discs, and temperature fuse plugs are all used as precautionary measures to maintain the efficiency.
What are accumulators?Accumulators are pressurized containers that can hold fluid. When a system needs a boost in power, this stored energy can be used, recharged, and then used again. The right precautions should be taken to keep pressure and temperatures under control because this stored energy can be hazardous.
On accumulators, a number of modest but crucial accessories can be placed to stop the release of this stored energy and guarantee that temperatures stay within their safe operating range.
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calculate the average speed of the cyclist travelling 100 meters in 40 seconds
To find the average speed of the cyclist, we need to divide the distance traveled by the time it took to travel that distance. So we would divide 100 meters by 40 seconds, which gives us 2.5 meters per second. This is the average speed of the cyclist.
Answer:
The Average Speed is 2.5metres per second
Explanation:
Using Distance,Time,Speed Triangle,
[tex]S = \frac{D}{T}[/tex]
[tex]S = \frac{100}{40}\\[/tex]
[tex]S = 2.5[/tex]
Hence , the average speed is 2.5m/s
You are handed a pring that i 0. 400 m long. You hang the pring from a hook
on the ceiling and attach a 0. 750-kg ma to the other end of the pring. The
tretched pring length i 0. 450 m. What i the pring contant?
The spring constant with given length that stretches upto certain length and has specified mass has a spring constant that is calculated to be 147 N/m.
Given that,
Initial length of the spring = 0.400 m
Final length of the spring = 0.450 m
Change in length, Δx = 0.450 m - 0.400 m = 0.050 m
Mass of the hung object = 0.750 kg
Weight of the hung object, w = 0.750 × 9.8 N = 7.35 N
From Hooke's law it is said that, mathematically
Spring constant = Weight of the hung object/ change in length
Putting in the above given values into the equation, we have,
Spring constant = 7.35/0.050 = 147 N/m
The required spring constant is calculated to be 147 N/m.
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Light demonstrates the characteristics of _______________. particles only waves only both photons and particles both waves and particles
Both the features of waves and particles can be seen in light.only photons and particles only photons and particles, only waves.
Photons are they both waves and particles?Both a wave as well as a particle description of light are possible.The dual character of light has been highlighted in particular by two investigations.When we consider that light is composed of tiny particles, we refer to those particles as "photons."
What are waves and particles both?The following is the image for 'photons & particles combining waves and particles'.While electromagnetic radiation behaves both like a wave and a particle at the same time, it propagates according to linear wave equations and can only be released or absorbed in discrete pieces.
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2. Why might it be beneficial for a photographer to have a polarizing filter for their camera when taking pictures outdoors
A polarizing filter can be beneficial for a photographer when taking outdoor pictures because it can reduce glare and reflections from surfaces such as water and glass.
it can also enhance colors, darken blue skies, and reduce the amount of light entering the lens, allowing for more even exposure. This can be especially useful in situations where the sun is very bright and can create harsh shadows and overexposed highlights. The polarizing filter can also reduce the amount of haze in the atmosphere, which can improve the overall clarity of the image. These effects can help a photographer capture more vivid and detailed images, making them stand out from the crowd.
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What is the formula of law of lever?
"Effort multiplied by an arm equals burden multiplied by an arm," The various loads on the proportionally shorter load arm can be moved by the effort arm.
What does a class lever mean?A lever is a straightforward device with a solid beam and a fulcrum. The effort (input force) and load (output force) are applied to the beam's ends. The pivot of the beam is thought to be the fulcrum.
What do you name a lever?Levers are devices that increase force, to put it simply. Because they merely have the handle and the fulcrum, we refer to them as "basic machines." The "arm" of the lever is the handle or bar; it is the portion that you push against or pull towards.
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The power needed to accelerate a projectile from rest to its launch speed v in a time t is 39.4 W. How much power is needed to accelerate the same projectile from rest to a launch speed of 2v in a time of
The same projectile needs the power to accelerate from rest to a launch speed of 2v at a time of 219.6 W.
Calculation-power P = work/time
= ½mv² / t
P' = ½m(2v)²/t
= 4 * ½mv² / t
= 4 * P
so
P' = 4 * 54.9W
= 219.6 W (or 220 W rounded off)
What is the projectile's acceleration at the pinnacle of its trajectory?As a result, from the moment the projectile is hurled, through its greatest point, and until it touches the earth, its acceleration is 9.81 meters per second per second, or equal to the acceleration caused by gravity.
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What is the difference between the weight of an object and the mass of an object?
A body's mass is the total amount of its material. Gravitational pull on a body is represented by weight.
What is the difference between mass and weight?The relationship between mass and weight Mass is a measure of inertia, whereas weight is a measure of force.
Both of these names are frequently used in the same sentence. Calculating how much matter a body contains requires knowing its mass.
Weight is a unit of measurement for the force that gravity's acceleration has on a mass.
Weight is a measurement of how the force of gravity works upon a mass, whereas mass is a measure of the amount of matter in a material.
In order to determine how much matter a body contains, we need to use its mass.
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You may think of a sheet of aluminum foil as a 2D object, but it is really a 3D object because it has a non-zero thickness. Consider a sheet of aluminum foil that is 17.4 inches by 14.8 inches and has a mass of 10.8 grams. Of the density of aluminum is 2.7 g/cm3, what is the thickness of the foil in mm
Answer:
Below
Explanation:
17.4 inches = 441.96 mm 14.8 inches = 375.92 mm
volume = 441.96 X 375.92 X T
= 166141.6 T mm^3 <===where T = thickness in mm
Volume X density = mass
166141.6 T mm^3 * 2.7 gm/cm^3 * cm^3 / 1000mm^3 = 10.8 gm
solve for T = .024 mm
What is the torque on the lever?
The torque of a lever is equal to the perpendicular force multiplied by the length of the lever arm, which is the distance from the fulcrum of the lever.
Where can I find torque?The formula for torque is rF=rFsin(r). Torque is, in other words, the cross product of the distance vector (the distance between the pivot point and the point at which force is applied) and the force vector, where the angle 'a' between r and F is.
What is torque, and what is its SI unit?The SI unit for torque is the Newton-metre, or kgm2sec-2. Taking into account the formula Torque = Force X Distance While distance and force are measured in meters and newtons, respectively, torque is measured in newton-meters.
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do you think humans might be useful as index fossils in the future. Explain.
Index fossils are fossils that are used to help determine the relative age of rock layers and sedimentary strata. They are typically small, widely distributed organisms that lived for a relatively short period of time and are characteristic of a specific geological period. Index fossils are useful because they can help geologists and paleontologists to determine the relative age of rock formations and to understand the Earth's geological history.
It is unlikely that humans would be useful as index fossils in the future, as the time period during which humans have existed on Earth is relatively short compared to the age of the Earth as a whole. In addition, humans are not small, widely distributed organisms like many of the commonly used index fossils. Instead, humans are large, highly adapted organisms that have a wide range of habitats and are found on most of the continents.
However, it is possible that artifacts or other remains associated with human activity could be used as index fossils in the future. For example, the presence of certain types of tools or other materials might be used to help determine the relative age of a site or to understand the environmental conditions and human activity in a particular region at a specific point in time.
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The Jendrassik maneuver is sometimes used when a subject needs to be distracted, and usually results in a larger reflex test response. Was this true for you? Explain what happened
he JM will heighten (exaggerate) lower limb tendon reflexes by countering some of the normal descending inhibition the brain sends to the reflex arc.
What happens during the Jendrassik maneuver?A medical technique called the Jendrassik manoeuvre involves the patient clenching their teeth, flexing both sets of fingers into a hook-like shape, and interlocking those sets of fingers. The patellar reflex is then induced by striking the tendon below the patient's knee with a reflex hammer.
When the technique is not being used, the reflex outcome of the same movement is compared to the induced reaction. When a patient is focused on the technique, a bigger reflex reaction is frequently seen: "Afferent activity brought on by such muscle tension may activate a weak or seemingly absent reflex.
This is the actual justification for the procedure, not that it is intended to divert the patient's attention, a common misperception that persists to this day." This result
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The Sun's path, as viewed from the equator, is highest in the sky on _____. A) the spring and fall equinoxes B) the winter solstice. C) the summer solstice D) the day when Earth is closest to the Sun
The correct option is A, the Sun's path, as viewed from the equator, is highest in the sky on the spring and fall equinoxes.
Fall equinox is an astronomical event that marks the transition from summer to autumn in the Northern Hemisphere and from winter to spring in the Southern Hemisphere. On the day of the fall equinox, the sun rises directly in the east and sets directly in the west. This marks the end of the summer season and the beginning of the autumn season. During the fall equinox, all areas of the Earth experience nearly the same amount of daylight and darkness.
The fall equinox occurs in the middle of September in the Northern Hemisphere and in the middle of March in the Southern Hemisphere. It is the first day of autumn and the last day of summer in the Northern Hemisphere and the first day of spring and the last day of winter in the Southern Hemisphere.
The fall equinox marks the return of balance after the summer solstice, during which the days are the longest and the nights are the shortest. During the fall equinox, the day and night are of equal length and the sun is directly over the equator. After the fall equinox, the days become gradually shorter and the nights become gradually longer.
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how many electrons are on the move in a circuit where a current of 2.0 A flows for 2.0 minutes?
The number of electrons that move in a circuit where a current of 2.0 A flows for 2.0 minutes will be [tex]1.5X10^2^2[/tex]. The correct option is C.
What is current?Electrical charge carriers, often electrons or atoms deficient in electrons, travel as current. The capital letter I is a typical way to represent current.
A current of 2A passes through a wire for 20 minutes. The number of electrons that crossed the cross-section in this period is
Given that,
Current =2A
Time t= 20min = 20×60s
Let,
n and e be the number and charge of electrons in time t.
So,
The total charge, q(say) in the wire is
q = ne
Hence, the current flowing in time t is
I = q/t
I = ne/t
n = It/e
[tex]n=\frac{2(20X60)}{1.6X10^{-19}} \\\\n=\frac{2400}{1.6X10^{-19}}\\\\n=1.5X10^{22}[/tex]
Thus, the answer is [tex]1.5X10^2^2[/tex], means the correct option is C.
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Your question seems incomplete, the missing options are:
[tex]1.5X10^{21}\\\\1.5X10^{20}\\\\1.5X10^{22}\\\\1.5X10^{21}\\\\1.5X10^{23}[/tex]
Calculate the rotational inertia of 27 kg solid cylinder whose diameter is 0. 24 m about an axis of the cylinder if I= mr^2. Where I is the rotational inertia, m is mass and r is the radius
The value of moment of Inertia of the solid cylinder will be 0.19 kg/m^2
Any item that can be rotated has the property of rotational inertia. It is a scalar value that indicates how challenging it is to alter an object's rotational velocity around a certain rotational axis. The role of mass in linear mechanics is analogous to that of rotational inertia in rotational mechanics.
The formula I = 1/2 [M (R_2^2 + R_1^2)] may be used to calculate the moment of inertia of a hollow cylinder revolving along an axis passing through the centre of the cylinder. The cylinder in this instance will have a mass of M and internal and exterior radii R1 and R2, respectively.
The cylinder's moment of inertia about its axis is (MR^2)/2.
Where, M - mass of object, R = radius of the cylinder.
After putting all the values. we will get,
[tex]=\frac{27 \mathrm{~kg} \cdot(0.24 \mathrm{~m} / 2)^2}{2} \approx 0.19 \mathrm{~kg} \cdot \mathrm{m}^2[/tex]
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Gravity on the surface of the moon is only 1 6 as strong as gravity on the Earth. What is the weight of a 35 kg object on the Earth
Answer:
Weight of a 35kg object on Earth is 350N, while it is 56N on the Moon.
Explanation:
The conversion of mass (kg) to weight (N) on Earth is 1kg to 10N.
Thus, the weight of a 35kg mass on Earth is
35kg × 10 = 350N
On the Moon, conversion of mass to weight is 1kg to 1.6N.
Thus, the weight of a 35kg mass on the Moon is
35kg × 1.6 = 56N
Remember, mass remains constant regardless of location, while weight depends on the strength of the gravitational field.
How much heat is given off when 210.0 g of water at 0°C freezes into ice?
Answer:
it gives off 71.0 kJ of heat.
Explanation:
Two charged particles are located on the x axis. The first is a charge +Q at x = -a. The second is an unknown charge located at x = +3a. The net electric field these charges produce at the origin has a magnitude of 2keQ / a2. What are the two possible values of the unknown charge?
I honestly have absolutely no idea where to begin solving this problem. I know the equation for the electric field (kQ/r2), but I have no idea how to work with the information given to get a net electric force. Can anyone show me where to start?
Two charged particles are located on the x axis.
What are charged particles?
Charged particles are particles that have either a positive or negative electrical charge. These particles can be found in many forms in nature, such as electrons, protons, and ions. These particles are a key component of electricity, and can be used as a source of energy. Charged particles can be found in atoms and molecules, where they interact with other particles and affect their behavior. They can also be found in plasma, a state of matter that is made up of ions and electrons.
1. Start by writing out the equation for the electric field at the origin:
E = (kQ)/r^2
2. Substitute in the values for Q, k, and r, and solve for the unknown charge:
E = (2keQ)/a^2
E = (2k(+Q))/(3a)^2
+Q = (2kE)/(3a)^2
Since the electric field has a magnitude of 2keQ / a2, the unknown charge can be either positive or negative:
+Q = ±(2kE)/(3a)^2
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1. What is the
momentum of a 1.5 × 103-kilogram car
as it travels at 30. meters per second due east for 60.
seconds?
A) 4.5 x 104 kg m/s, east
B) 4.5 x 104 kg.m/s, west
C) 4.5 x 106 kg•m, east
D) 4.5 x 106 kg•m, west
A 1.5 x 103 kg car's momentum is equal to 4.5 x 104 kg m/s east if it moves at a speed of 30 m/s for 60 seconds while traveling straight east.
What is momentum ?Momentum is a property of an object or system that describes its tendency to move or stay in motion. It is equal to the product of the mass of the object and its velocity. Momentum is conserved, meaning that the total momentum of an isolated system remains constant, regardless of any changes or interactions within the system. Momentum is an important concept in classical mechanics, and is directly related to forces, energy, and angular momentum. Momentum is an essential factor for describing the behavior of objects in motion.
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You are on roller blades on top of a small hill. Your potential energy is equal to 1000 joules. The last time you checked your mass was 60.0 kilograms. What is the height of the hill
The height of the hill can be calculated using the formula PE = mgh, where m is the mass, g is the acceleration due to gravity (9.8 m/s2), and h is the height of the hill. So, solving for h, we get h = PE/mg = 1000 J/ (60.0 kg*9.8 m/s2) = 10.2 m.
Therefore, the height of the hill is 10.2 m. The potential energy of an object is the energy it possesses due to its position or state. As the object moves, its potential energy can be converted into kinetic energy, or the energy it has due to its motion. In this case, the rollerblader is on top of the hill, so it has potential energy due to the height of the hill.
The formula for potential energy is PE = mgh, which means that the potential energy is equal to the mass multiplied by the acceleration due to gravity multiplied by the height. In this case, the mass is known to be 60.0 kg, and the potential energy is known to be 1000 J. By using the formula and substituting in the known values, the height of the hill can be calculated.
The height of the hill is determined to be 10.2 m, which is relatively small. This means that the hill is not too steep, and the rollerblader would not have to use a lot of energy to go down it.
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There is a bell on top of a tower that is 45 meters high. The bell has a mass of 20 kg. Calculate its potential energy.
Answer:
9000 Joules
Explanation:
Potential energy = mass x acceleration due to gravity x height
mass = 20kg
acceleration due to gravity = 10m/s2
height = 45 meters
20 x 10 x 45 = 9000 Joules
Why does acceleration increase down a ramp?
Acceleration increase down a ramp, due to an object is free to move under the influence of gravity. That's why acceleration increases.
Acceleration is a measure of how quickly an object's velocity changes. On a ramp, an object is free to move under the influence of gravity. The gravitational force acting on an object is always directed downward, and the force of friction acting on an object is directed upward. The force acting on an object moving down a ramp is the force of gravity minus the force of friction. Since the force of gravity is greater than the force of friction, the net force acting on the object is directed downward, which causes the object to accelerate downward. The angle of the ramp affects the force of friction, as the greater the angle of the ramp, the greater the force of friction, and the less the net force acting on the object and less acceleration. Therefore, acceleration increases down a ramp because the net force acting on an object is directed downward and the angle of the ramp affects the force of friction.
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What additional kind of energy makes Cv larger for a diatomic gas than for a monatomic one?
O Charismatic energy
O Translational energy
O Heat energy
O Rotational energy
O Solar energy
Answer:
translational energy
Explanation:
because is diatomic
the force exerted on the rope by the ceiling is in the _____ direction.
The force exerted on the rope by the ceiling is in the vertical direction. This means that the force is pushing straight down on the rope and is perpendicular to the plane of the ceiling.
The force exerted on the rope by the ceiling is the result of the gravity of the rope itself and the weight of any objects or materials that are attached to the rope.
In order for the force to remain in the vertical direction, the rope must be secured at the top of the ceiling and not allowed to move in any other direction. If the rope were to move in any other direction, the force exerted on the rope by the ceiling would no longer be in the vertical direction and the rope would no longer remain secure.
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If you pound a feather with a hammer, which one feels a greater force? a. always the hammer both feather moves, then it felt the greater force. b. therwise the force the same on both. c. always the feather d. The size of the force is always exactly the same on both of them.
If you pound a feather with a hammer, which one feels a greater force always the hammer both feather moves, then it felt the greater force.
What is the force?
Force is an influence that produces a change in the motion of an object. It is measured in units of mass times acceleration, or newtons (N). Force is a vector quantity, meaning it has both magnitude and direction. Force can cause an object to accelerate, decelerate, remain in motion, change direction, or alter shape. Examples of forces include gravity, friction, tension, and magnetism. Forces can also be generated by electrical, thermal, and nuclear energy. All forces are generated by the interaction of two objects and can be balanced or unbalanced. Unbalanced forces will cause an object to move or accelerate and balanced forces will cause an object to remain stationary or in motion at a constant speed.
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If the material fails when the average normal stress reaches 120 psi, determine the largest centrally applied vertical load p the block can support
Determine the highest centrally applied vertical load p the block can support if the material breaks when the average normal stress reaches 120 psi.
What is meant by material?Objects are made of material, which is a substance or combination of substances. Material can be either pure or impure, made of living things or inanimate objects. Materials can be categorized based on their chemical and physical makeup, as well as their geological or biological origin.The term "material" describes a substance used to create another object. Cloth or other things made of matter that are real-world objects are likewise considered to be materials. The adjective and noun material can be used in a wide variety of contexts.Students can choose to specialize in materials physics as part of their physics degree, which prepares them for high-tech jobs in fields including optical fibers, alternative energy sources, communications, transportation, electronics, and medicine.To learn more about material refer to:
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Electricity travels in closed circuits, and its normal route is through a conductor. Electric shock occurs when:
Electric shock occurs when a person comes into contact with a current flowing through an electrical circuit.
What do you mean by "electric shock"?
Electric shock occurs when a person comes into contact with a current flowing through an electrical circuit. This can happen when the person comes into contact with a live conductor, such as a wire carrying an electrical current, or when the person becomes part of the circuit, such as by touching both a live wire and a ground.
Electric shock can cause a range of symptoms depending on the severity and duration of the exposure, including muscle contractions, burns, internal injuries, and in severe cases, cardiac arrest or death. Electric shocks can also cause electrical burns which can be serious.
When a person comes into contact with a current, it can cause an electric shock, which can range in severity from a mild tingling sensation to severe injury or death. Factors that determine the severity of an electric shock include the amount of current flowing through the body, the duration of contact with the current, and the path the current takes through the body.
It is important to note that Electric shock can be prevented by following safety guidelines and by using proper safety equipment when working with electrical equipment and circuits.
Hence, Electric shock occurs when a person comes into contact with a current flowing through an electrical circuit.
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The amplitude of pulse A is 20 cm and that of pulse B is 10 Cm what is the minimum amplitude of the resultant pulse
The minimum amplitude of the resultant pulse is 10 cm.
What is amplitude of a pulse?The amplitude of a pulse is the maximum height of the waveform measured from the baseline, also known as the peak-to-peak amplitude. In the case of two pulses, A and B, the minimum amplitude of the resultant pulse is determined by the vector sum of the individual amplitudes of the two pulses.
When two pulses are in phase, the resultant pulse amplitude is the sum of the individual amplitudes, which in this case is 20 cm + 10 cm = 30 cm.
However, if the two pulses are out of phase, the minimum amplitude of the resultant pulse is determined by the difference between the amplitudes of the two pulses. In this case, the minimum amplitude of the resultant pulse would be |20 cm - 10 cm| = 10 cm.
So, the minimum amplitude of the resultant pulse is 10 cm.
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600 Joules of work is used to lift a box from the ground to a height of six meters. How much work would have been done if a lever would have been used with an effort arm of 12 meters and a load arm of 6 meters? (10 points)
a. 72 J
b. 100 J
c. 50 J
d. 600 J
Answer:
d. 600 J
Explanation:
You want to know the work done to lift a box using a lever with a mechanical advantage of 2, if the work required without the lever is 600 J.
LeverA lever trades force for distance. That is raising the box a distance of 6 m requires moving the lever arm a distance of 12 m, but only half the force is required. The product of force and distance is the same.
The total required work is unchanged: 600 J.
__
Additional comment
Actually, more work is required to lift the box using the lever. There is work applied to the box, and there is more work applied to moving the lever. (We have to assume a massless lever with no friction in these problems.)
What type of resource is solar and wind?
Solar and wind are renewable resource types.
A renewable resource is an energy source that comes from nature. This is renewable and unlimited. It can be created by utilizing increasingly sophisticated technological developments so that it can become an alternative energy source.
Apart from solar and wind power, renewable energy can also be obtained from hydropower, geothermal, biomass, solar power, wind power, sea heat, waves, and tidal.
Some of the benefits of renewable resources are:
• Minimizing the effects of global warming
• Unlimited energy sources
• Save resources as well as expenses
• In several countries it can create jobs and opportunities
• Easier and cheaper maintenance
• Some technologies are easy to implement in remote areas.
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