Let F₁ and F₂ denote the two forces, so the resultant is F₁ + F₂. Then by the triangle inequality,
|F₁ + F₂| ≤ |F₁| + |F₂|
Magnitude must be non-negative, so the minimum magnitude of the resultant is 0. This happens when F₁ and F₂ have the same magnitude, but point in opposite directions.
The maximum magnitude is the sum of the magnitudes of F₁ and F₂. This happens when the magnitudes of F₁ and F₂ are not equal, and the two forces point in the same direction.
True or false? Newton's third law of motion applies in collisions but not in static situations.
False as newton third law can act even body is stationary.
Newton's third law of motion applies in collisions but not in static situations. This is false statement.
What is Newton's laws of motion?The law of inertia is another name for the first law of motion. According to Newton's First Law, a body in uniform motion or at rest will remain in that state up to and unless a net external force acts on it.According to Newton's second law, an object's acceleration caused by a net force is directly proportional to the force's magnitude, moving in the same direction as the force, and inversely proportional to the mass of the object.The third law of motion, which Newton developed, explains what happens to a body when it applies force to another body. Every action has an equal and opposite response, according to Newton's third law.Hence, Newton's third law of motion is applicable on both static and dynamic situations.
Learn more about Newton's third law of motion here:
https://brainly.com/question/29768600
#SPJ2
Electricity & Magnetism
4
Electricity can be used to produce powerful forces.
What type of energy is electricity converted to in an electromagnet?
A. sound energy
B.
heat energy
C. light energy
D. magnetic energy
A projectile is fired into the air at an angle of 50° above ground level and hits a target downrange. Neglecting air drag, it will also hit the target if fired at the same speed at an angle of
Answer:
18 m/s
Explanation:
Range of a projectile on level ground is:
R = v₀² sin(2θ) / g
14.3 m = v₀² sin(2×13°) / 9.8 m/s²
v₀ = 17.9 m/s
Rounded to two significant figures, the launch speed was 18 m/s.
If the bullet is launched at an angle of 50 degrees above ground level, the target will be struck. The angle remains the same. The launch angle obtained is 50 degrees.
Given:
The initial shot was fired at an angle of 50 degrees above ground.
The projectile's starting velocity (v) and magnitude of velocity will remain constant if it is shot at the same pace.
Let the angle of the projectile is x,
The horizontal component of velocity can be calculated as follows:
\(v(x) = v * cos(x)\)
We can write:
since the horizontal part of velocity remains constant:
\(v(x1) = v(x2)\)
\(cos(50) = cos(x)\)
\(50 = x\)
Therefore, if the projectile is launched at the same speed at a 50° angle above ground level, it will strike the target.
To know more about the projectile:
https://brainly.com/question/13388411
#SPJ4
The correct response is given when the angle is asked a question.
Which physical activity is NOT aerobic exercise?
A) Hip-hop dancing
B) Jump roping
C) Yoga
D) Jogging
Answer:
C
Explanation:
Answer:
Hip-hop Dancing
Explanation:
Aerobic exercises are light (somewhat, a more accurate word would be bearable) workouts that you can endure over long periods of time. Anaerobic workouts describe workouts that require sudden burst of energy, like the ones you seen in most forms of dance, such as Hip-hop dance.
Hope this helps!
Create an Energy Concept Map that has all the key terms from the Energy unit. The words should connect with lines, and explanation of why the connection is there should be written on the line.
Energy conservation is the principle that energy is neither created nor destroyed, but can only be converted or transferred. It involves using energy-efficient appliances and transitioning to renewable energy sources to reduce consumption and environmental impact.
Energy conservation refers to the principle that energy cannot be created or destroyed; it can only be converted from one form to another or transferred between systems. This principle is based on the law of conservation of energy, also known as the first law of thermodynamics. In other words, the total amount of energy in a closed system remains constant over time.
One example of energy conservation is the use of energy-efficient appliances in households. By using appliances that are designed to minimize energy waste, such as energy-saving light bulbs, efficient refrigerators, or insulated windows, individuals can reduce their energy consumption and lower their electricity bills. These appliances are designed to convert electrical energy into useful forms, such as light or heat, with minimal energy losses.
Additionally, energy conservation plays a crucial role in sustainable practices and environmental preservation. For instance, reducing reliance on non-renewable energy sources like fossil fuels and transitioning to renewable energy sources such as solar or wind power helps conserve natural resources and reduces greenhouse gas emissions.
In summary, energy conservation is the principle that states energy cannot be created or destroyed but can only be converted or transferred between different forms. By adopting energy-efficient practices and utilizing renewable energy sources, individuals and society can contribute to conserving energy and mitigating environmental impact.
For more such information on: Energy conservation
https://brainly.com/question/27422874
#SPJ8
The question probable may be:
Explain the concept of energy conservation and provide an example of how it applies in real-life situations.
The student has a mass of 50.0 kg. What is her momentum at 2 s (in kgm/s)?
Answer:
50kgm/2
Explanation:
Part-II Work out Step by step clearly (6%) 5. A 5kg mass starts from rest at xo = -1 and moves under the action of a variable force F(x) = √1-x² to point xf = 1. Calculate the total work done by the force? (1%)
If a 5kg mass starts from rest at xo = -1 and moves under the action of a variable force F(x) = √1-x² to point xf = 1. Then the total work done by the force is equal to π/2 + 1.
To calculate the total work done by the force in this scenario, we can use the formula for work:
Work = ∫F(x) dx
where F(x) is the force as a function of position and dx represents an infinitesimal displacement.
In this case, the force is given by F(x) = √(1 - x²), and we need to find the total work done as the object moves from xo = -1 to xf = 1.
Let's break down the calculation step by step:
Write the integral for work:
Work = ∫F(x) dx
Substitute the given force:
Work = ∫√(1 - x²) dx
Integrate with respect to x:
To integrate the square root of (1 - x²), we use the trigonometric substitution. Let's substitute x = sin(θ) and dx = cos(θ) dθ.
Work = ∫√(1 - sin²(θ)) cos(θ) dθ
Simplify the integrand:
Using the trigonometric identity sin²(θ) + cos²(θ) = 1, we can rewrite the integrand as cos²(θ).
Work = ∫cos²(θ) dθ
Apply the power-reducing formula:
The power-reducing formula states that cos²(θ) = (1 + cos(2θ)) / 2. We can use this formula to simplify the integrand further.
Work = ∫(1 + cos(2θ))/2 dθ
Integrate the terms separately:
Work = (1/2) ∫dθ + (1/2) ∫cos(2θ) dθ
The first integral, ∫dθ, is simply θ, and the second integral, ∫cos(2θ) dθ, can be calculated as sin(2θ)/2.
Work = (1/2) θ + (1/2) (sin(2θ)/2) + C
Evaluate the integral limits:
To find the total work done, we need to evaluate the integral at the upper and lower limits of integration.
At xf = 1, the angle θ is π/2, and at xo = -1, the angle θ is -π/2.
Work = (1/2) (π/2) + (1/2) (sin(2(π/2))/2) - [(1/2) (-π/2) + (1/2) (sin(2(-π/2))/2)]
Simplifying further:
Work = π/4 + (1/2) - (-π/4 + (1/2))
Work = π/4 + 1/2 + π/4 + 1/2
Work = π/2 + 1
Therefore, the total work done by the force is equal to π/2 + 1.
To learn more about Workdone click:
brainly.com/question/28172139
#SPJ1
''In general, the normal force is not equal to the weight." Give an example where the two forces are equal in magnitude and at least two examples where they are not.
A normal force is a force applied perpendicular to a surface on an object in contact with it. The weight is the gravitational force imposed on an object, and it is equal to the mass multiplied by the acceleration due to gravity.
When an object is put on a scale at rest on a level surface, the normal force equals the weight. In this instance, the normal force acting upwards from the scale on the object is equal to the weight acting downwards.
Here are two instances of normal forces that are not equal to weight:
When a person stands on an inclined plane or ramp, the normal force applied by the plane is less than the person's weight, because some of the weight is resolved parallel to the plane, causing the person to slide down if enough friction exists.
The normal force exerted by the air or other medium on a person in free fall is zero, while their weight due to gravity stays constant.
learn more about force here
https://brainly.com/question/25239010
#SPJ1
physical properties for soap
Answer:
there are germs in your hand and soap has chemicals that kill germs
Answer:
dino nuggies
Explanation:
cause whynot
A projectile is fired straight up with an initial velocity of 40.0 m/s . Approximately how high will the projectile ?
Answer:
it depends on the wind and any other conditions but if you have a controlled environment it should take 1 second to get 40 meters but it could go higher in which it could take about 5 seconds to go 200 meters
Explanation:
hope it helped
:)
two forces f1=(8i+3j)N and f2=(4i+6j) are acting on 5kg object then what is the magnitude and the direction of the resultant force
what is its acceleration of x and y component
what is the magnitude of acceleration of the object
Two forces f1=(8i+3j)N and f2=(4i+6j) are acting on 5kg object then the magnitude of the resultant force is 15 N and the direction of the resultant force is approximately 36.87 degrees from the positive x-axis.
The acceleration of the object in the x-component (\(a_x\)) is 2.4 \(m/s^{2}\), and the acceleration in the y-component (\(a_y\)) is 1.8 \(m/s^{2}\).
The magnitude of the acceleration of the object is 3 \(m/s^{2}\).
To find the magnitude and direction of the resultant force, we need to add the two given forces together.
Given:
f1 = (8i + 3j) N
f2 = (4i + 6j) N
To find the resultant force (\(F_res\)), we simply add the corresponding components:
\(F_res\) = f1 + f2
= (8i + 3j) + (4i + 6j)
= (8 + 4)i + (3 + 6)j
= 12i + 9j
The magnitude of the resultant force (\(|F_res|\)) can be found using the Pythagorean theorem:
\(|F_res|\)= \(\sqrt{(12^2) + (9^2)}\)
= \(\sqrt{144 + 81}\)
= \(\sqrt{225}\)
= 15 N
So, the magnitude of the resultant force is 15 N.
To find the direction of the resultant force, we can use trigonometry. The direction can be represented by the angle θ between the positive x-axis and the resultant force vector. We can calculate θ using the inverse tangent function:
θ = arctan(9/12)
= arctan(3/4)
≈ 36.87 degrees
Therefore, the direction of the resultant force is approximately 36.87 degrees from the positive x-axis.
Now let's calculate the acceleration of the object in the x and y components. We know that force (F) is related to acceleration (a) through Newton's second law:
F = ma
For the x-component:
\(F_x\)= 12 N
m = 5 kg
Using \(F_x\)= \(ma_x\), we can solve for \(a_x\):
12 N = 5 kg * \(a_x\)
\(a_x\)= 12 N / 5 kg
\(a_x\) = 2.4 \(m/s^{2}\)
For the y-component:
\(F_y\) = 9 N
m = 5 kg
Using \(F_y\) = \(ma_y\), we can solve for \(a_y\):
9 N = 5 kg * \(a_y\)
\(a_y\) = 9 N / 5 kg
\(a_y\)= 1.8 \(m/s^{2}\)
So, the acceleration of the object in the x-component (\(a_x\)) is 2.4 \(m/s^{2}\), and the acceleration in the y-component (\(a_y\)) is 1.8 \(m/s^{2}\).
To find the magnitude of the acceleration (|a|), we can use the Pythagorean theorem:
|a| = \(\sqrt{(a_x^2) + (a_y^2)}\)
= \(\sqrt{(2.4^2) + (1.8^2}\)
= \(\sqrt{5.76 + 3.24}\)
= \(\sqrt{9}\)
= 3 \(m/s^{2}\)
Therefore, the magnitude of the acceleration of the object is 3 \(m/s^{2}\)
For more such information on: force
https://brainly.com/question/25239010
#SPJ11
HELP !Which is an example of a destructive force that shapes Earth's surface?
clouds
volcanoos
wind orosion
sodiment deposits
Answer:
wind orosion is the correct answer dkr this
What is evidence used by Galileo to disprove Aristotle and Ptolemy?
Galileo challenged the Aristotelian-Ptolemaic model, providing support for the heliocentric model and paving the way for a new understanding of the universe.
Galileo Galilei played a crucial role in challenging the prevailing geocentric model of the universe proposed by Aristotle and supported by Ptolemy. He provided several lines of evidence that effectively disproved their theories and supported the heliocentric model proposed by Nicolaus Copernicus. Some of the key evidence used by Galileo includes:
1. Observations through a telescope: Galileo was one of the first astronomers to use a telescope to observe the heavens. His telescopic observations revealed several important discoveries that contradicted the Aristotelian-Ptolemaic worldview. He observed the phases of Venus, which demonstrated that Venus orbits the Sun and not Earth. He also observed the four largest moons of Jupiter, now known as the Galilean moons, which provided evidence for celestial bodies orbiting a planet other than Earth.
2. Sunspots: Galileo's observations of sunspots provided evidence that the Sun is not a perfect celestial body, as suggested by Aristotle. Sunspots indicated that the Sun has imperfections and undergoes changes, challenging the notion of celestial perfection.
3. Mountains on the Moon: Galileo observed the rugged and uneven surface of the Moon, which contradicted Aristotle's belief in celestial spheres made of perfect, unchanging material. The presence of mountains on the Moon suggested that celestial bodies are subject to the same physical laws as Earth.
4. Phases of Venus: Galileo's observations of the phases of Venus provided direct evidence for the heliocentric model. As Venus orbits the Sun, it goes through phases similar to the Moon, ranging from crescent to full. This observation strongly supported the idea that Venus revolves around the Sun.
These lines of evidence presented by Galileo challenged the Aristotelian-Ptolemaic model, providing support for the heliocentric model and paving the way for a new understanding of the universe. His work marked a significant turning point in the history of science and laid the foundation for modern astronomy.
for more questions on heliocentric
https://brainly.com/question/21113123
#SPJ8
Some dragonflies splash down onto the surface of a lake to clean themselves. After this dunking, the dragonflies gain altitude, and then spin rapidly at about 1100 rpm to spray the water off their bodies. When the dragonflies do this "spin-dry," they tuck themselves into a "ball" with a moment of inertia of 2.0×10−7kg⋅m2 . How much energy must the dragonfly generate to spin itself at this rate?
The dragonfly must generate approximately 4.8 × 10^-4 Joules of energy to spin itself at a rate of 1100 rpm.
Start by converting the rotational speed from rpm (revolutions per minute) to rad/s (radians per second). Since 1 revolution is equal to 2π radians, we can use the conversion factor:
Angular speed (ω) = (1100 rpm) × (2π rad/1 min) × (1 min/60 s)
ω ≈ 115.28 rad/s
The moment of inertia (I) is given as 2.0 × 10^-7 kg⋅m².
Use the formula for rotational kinetic energy:
Rotational Kinetic Energy (KE_rot) = (1/2) I ω²
Substituting the given values:
KE_rot = (1/2) × (2.0 × 10^-7 kg⋅m²) × (115.28 rad/s)²
Calculate the value inside the parentheses:
KE_rot ≈ (1/2) × (2.0 × 10^-7 kg⋅m²) × (13274.28 rad²/s²)
KE_rot ≈ 1.331 × 10^-3 J
Round the result to the proper number of significant figures, which in this case is three, as indicated by the given moment of inertia.
KE_rot ≈ 4.8 × 10^-4 J
Therefore, the dragonfly must generate approximately 4.8 × 10^-4 Joules of energy to spin itself at a rate of 1100 rpm.
For more such questions on energy, click on:
https://brainly.com/question/8101588
#SPJ8
List the 6 questions you may apply to formulating a logical, reasonable perspective to any situation.
Steps to formulate a logical, reasonable perspective to any situation are: gather information, identify problem, analyze the situation, consider assumptions, generate solutions, evaluate options, consider your values, make decision and monitor and adjust
What are the 6 questions that may be applied to formulate logical, reasonable perspective to any situation?Here are the six questions that you can apply to formulating a logical, reasonable perspective to any situation:
What are the issues that should be addressed?
What are the relevant facts and data related to this problem or issue?
What assumptions am I making about the problem or issue?
What are the possible solutions or outcomes, and what are the pros and cons of each?
What are my values and priorities related to this problem or issue?
What additional information do I need to make an informed decision or come to a reasonable conclusion?
To know more about perspective, refer
https://brainly.com/question/13107415
#SPJ1
Rahul is carrying a load of 80 kg a distance of 200m in 5 minutes but the same lord is carried by Reena to the same distance in 4 minutes who has. more power.
Answer:
Reena has more power.....
Hope it helps!!!
# 5 what will most likely happen when an air mas of low temperature exists above a water body at a higher temperature?
Heat will transfer from the wetter to the air
Answer:
yes u are correct
Explanation:
Approximately how many times louder is a 150-dB sound than a 80-dB sound?
a 150-dB sound is approximately 10 million times louder than an 80-dB sound.
What is the range of sound?Provide instances of the differences between the audible, ultrasonic, and infrasonic frequency ranges. Three sorts of sound waves, each covering a distinct frequency range, are used. These are what they are:
Waves that fall inside the ear's sensitivity range are referred to be audible waves.Infrasonic waves are those whose frequencies fall below the range of human hearing. Ultrasonic waves are those with frequencies higher than those of sound.The difference in decibels between two sounds is related to the ratio of their intensities (or power) by the following formula:
dB₂ - dB₁ = 10 log10(I₂ / I₁)
where dB₁ and dB₂ are the decibel levels of the two sounds, and I₁ and I₂ are their intensities (or power).
Using this formula, we can find the ratio of the intensity of a 150-dB sound to that of an 80-dB sound:
150 dB - 80 dB = 10 log10(I₁₅₀ / I₈₀)
70 = 10 log10(I₁₅₀ / I₈₀)
7 = log10(I₁₅₀ / I₈₀)
10^7 = I₁₅₀ / I₈₀
I₁₅₀ = 10^7 * I₈₀
This shows that the intensity of a 150-dB sound is 10 million times greater than that of an 80-dB sound.
Therefore, a 150-dB sound is approximately 10 million times louder than an 80-dB sound.
Learn more about the sound here:
https://brainly.com/question/29707602
#SPJ9
A household refrigerator consumes electrical energy at the rate of 200 W. lf electricity costs 5 k per kWh, calculate the cost of operating the appliance for 30 days
Answer:
= 720000 [k]
Explanation:
The cost is equal to 5 [$/kW-h], kilowatt per hour, this value should be multiplied by the power, and then by the time.
\(5[\frac{k}{kw*h}]*200[w]*30[day]*24[\frac{h}{day} ]\)
= 720000 [k]
Replace the incandescent bulb with the Voltage meter and return loop # to 3. What happens when you move the bar magnet back-n-forth through the loop? Does this appear to be creating a Direct Current or an Alternating Current? How do you know?
If we replace the incandescent bulb with a voltage meter and return the loop to its original configuration, then moving the bar magnet back and forth through the loop will induce an electrical current in the loop, as described by Faraday's law of electromagnetic induction.
What is magnet?A magnet is a material or object that produces a magnetic field, which is a force that can attract or repel certain other materials, such as iron or steel. The magnetic field is created by the motion of electric charges within the magnet, which align in such a way that they produce a net magnetic field. Magnets can be made from a variety of materials, including iron, cobalt, nickel, and certain alloys. They come in many different shapes and sizes, including bars, discs, horseshoes, and rings.
Here,
The type of current that is generated depends on the direction and rate of the magnet's motion. If the magnet is moved back and forth with a constant speed and in a straight line, the current induced in the loop will be an alternating current (AC), because the direction of the current will reverse every time the magnet changes direction. This can be observed by the voltage meter reading a voltage that periodically changes in direction.
To know more about magnet,
https://brainly.com/question/30563158
#SPJ1
What is an example of intellectual development?
Answer:
Emotional and Social Development
During the preschool years, your little one is learning to read emotional cues and is getting better at relating to other people, according to the New York University Child Study Center 1⭐
⭐This is a verified and trusted source
New York University Child Study Center: The Preschool Years: (Ages Four and Five) Expectations and Challenges
Goto Source
. He can empathize with others and make friends with other children his own age. By his fifth birthday, your preschooler often seeks friends of the same gender and shows a preference for playing with other children, rather than adults. Your preschooler also engages in pretend play and can probably tell the difference between reality and fantasy, according to the American Academy of Pediatrics.
Physical Development
There's a big difference between a 2-year-old and a 5-year-old. During the preschool years, your child develops in many physical ways. She goes from toddling around unsteadily to being able to jump, stand on one foot, walk up and down stairs and walk backward, according to the New York University Child Study Center 1⭐
⭐This is a verified and trusted source
New York University Child Study Center: The Preschool Years: (Ages Four and Five) Expectations and Challenges
Goto Source
. By the time she's 5, your little one should also be able to ride a tricycle, build a block tower, paint on paper, skip, throw a ball, dress and undress and begin drawing recognizable objects, adds the University of Illinois Extension.
Read the following selections from the section "Mickey Guyton's Star-Spangled Banner."
The Grammy Award-nominated country singer delivered a soaring, emotional version of the anthem largely on bet
own. A small choir and piano later joined her.
Guyton did not appear to drop or flub any words. She wore a royal blue gown.
What conclusion is BEST Supported by the selections?
A- Mickey Guyton has performed at some of the previous Super Bowls.
B- Mickey Guyton spent a great deal of time practicing for her performance.
C- Mickey Guyton was nervous about singing the national anthem mostly on her own.
D- Mickey Guyton put her personal touch on an anthem that came off without a hitch.
Answer:
C
Explanation:
The way in which one atom interacts with another atom is mostly influenced by the configuration of the
A. electrons farthest from the nucleus.
B. protons in the center of the nucleus.
C. electrons closest to the nucleus.
D. protons on the outer edge of the nucleus.
The way in which one atom interacts with another atom is mostly influenced by the configuration of the electrons farthest from the nucleus.
Option A.
What is atom?An atom can be defined as the smallest part of a substance that cannot be broken down chemically. Each atom has a nucleus (center) made up of protons (positive particles) and neutrons (particles with no charge).
The arrangement of electrons in orbitals and shells around the nucleus is referred to as the electronic configuration of the atom.
Thus, we can conclude that the way in which one atom interacts with another atom is mostly influenced by the configuration of the electrons farthest from the nucleus.
The remaining options do not fit the empty space properly, and they include;
protons in the center of the nucleus.electrons closest to the nucleus.protons on the outer edge of the nucleus.Learn more about electron configuration here: https://brainly.com/question/26084288
#SPJ1
What is the speed of... (all answers need to be in meters/sec)
16. A skateboarder rolling 15m in 3 sec
17. A car traveling 100km in 1hr
18. A swimmer going 2000m in 9:12
19. A biker covering 100km in 45min
20. A runner doing a 5k in 20:36
Answer:
Speed=distance/time
Explanation:
Speed=distance/time
16)
15/3 meters per second
5 meters per second
17)
100 kilometers=100,000 meters
1 hour=3,600 seconds
100,000/3,600=27.7777 (7 repeating)
About 27.78 meters per second
18)
9 minutes=540 seconds
540+12=552 seconds
2,000/552≈3.62 meters per second
19)
100 kilometers=100,000 meters
45 minutes=2,700 seconds
100,000/2,700=37.037037037 (037 repeating)
About 37.04 meters per second
20)
5k=5,000 meters
20 minutes=1,200 seconds
1,200+36=1,236 seconds
5,000/1,236≈4.05 meters per second
Three equal positive charges 'q' are at the corners of an equilateral triangle of side 'a'.
a. Assuming that the three charges together create an electric field, find the location of a point other than the obvious one where the electric field is zero.
b. What is the magnitude and direction of the electric field at the top corner due to the two charges at the base?
(a) The location of a point where the electric field is zero is at the center of the triangle which is equal to ¹/₆√3a.
(b) The magnitude and direction of the electric field at the top corner due to the two charges at the base is 1.732 kq/a².
Position where the electric field is zero
The electric field is zero at the center of the equilateral triangle whose magnitude is equal to √3a/6.
Electric field at top corner due to two charges at the baseE = E₁ + E₂
where;
E₁ is electric field at the left base cornerE₂ is electric field at the right base cornerE = kq/a²[(cos 60i + sin 60j) + (-cos 60i + sin 60j)]
E = kq/a²[2(sin 60j)] = 1.732 kq/a²
Thus, the location of a point where the electric field is zero is at the center of the triangle which is equal to ¹/₆√3a.
The magnitude and direction of the electric field at the top corner due to the two charges at the base is 1.732 kq/a².
Learn more about electric field here: https://brainly.com/question/14372859
#SPJ1
A car driving down a street has a kinetic energy of 32,000 J. If the car has a mass of 1,600kg, at what velocity is the car moving?
Explanation:
The mechanical energy can be expressed as kinetic and potential energy, given by the equation;
ME=KE+PE
but since the car isn't elevated off the ground nor is it subjected to the restoring force of a spring, we can then say PE=0
ME=KE
The equation of KE=0.5mv²
ME=0.5mv²
32 000=0.5(1600)v²
\(v {}^{2} = \frac{32 \: 000}{1600 \times 0.5} \)
\(v {}^{2} = \frac{32 \: 000}{800} \)
\( {v}^{2} = 40\)
\(v = \sqrt{40} = 6.324\)
v=6.324 m/s :)
How efficient are the small and large scale solar-power systems used in individual homes and industrial settings? What is the environmental impact of the generation of solar power?
In detail plz
Answer:
\(\color{Blue}\huge\boxed{Answer} \)
The potential environmental impacts associated with solar power—land use and habitat loss, water use, and the use of hazardous materials in manufacturing—can vary greatly depending on the technology, which includes two broad categories: photovoltaic (PV) solar cells or concentrating solar thermal plants (CSP).
Explanation:
I just answer the second question
An oscillating LC circuit consisting of a 1.0 nF capacitor and a 3.0 mH coil has a maximum voltage of 3.0 V. What are (a) the maximum charge on the capacitor, (b) the maximum current through the circuit, and (c) the maximum energy stored in the magnetic field of the coil
Answer:
\(E=4.5*10^-^9J\)
Explanation:
From the question we are told that:
Capacitor \(C=1.0nf\)
Induction \(I=3.0mH\)
Voltage \(V=3.0\)
Generally the equation for Max charge on Capacitor is mathematically given by
\(Q_{max}=C*V\)
\(Q_{max}=1*10^{-9}*3\)
\(Q_{max}=3*10^{-9}C\)
Generally the equation for Energy in magnetic field of the coil is mathematically given by
Since
Energy stored in capacitor = Energy in magnetic field of the coil
Therefore
\(E = (1/2)* C * V^2\)
\(E= 0.5 * 1*10^{-9} *3^2\)
\(E=4.5*10^-^9J\)
Keyana and Sam are testing the law of conservation of energy. They use the same ball and release it from the same vertical height. Keyana is using a frictionless track, while Sam's track has friction. They discover Keyana's ball had more kinetic energy than Sam's when it reached the bottom. Which statement best explains why this happened if energy is conserved? Sam's ball lost mass as it traveled along the track. Sam's ball interacting with the track converted energy into heat. Keyana's ball was able to gain momentum. Keyana's ball had more potential energy.
The true statement is "Sam's ball interacting with the track converted energy into heat." The correct option is B.
The law of conservation of energy states that energy cannot be created or destroyed, only transferred or converted from one form to another. This means that the total amount of energy in a closed system remains constant.
The friction between Sam's ball and the track caused some of the energy to be lost as heat, while Keyana's ball experienced no such loss due to the absence of friction in her experiment. Therefore, Keyana's ball retained more of its initial potential energy as kinetic energy, resulting in a greater velocity and hence more kinetic energy at the bottom.
Option A (Sam's ball lost mass as it traveled along the track) is not true because it is not possible for the ball to lose mass during the experiment. The mass of the ball is a constant value and is not affected by the experiment.
Option C (Keyana's ball was able to gain momentum) is not the best explanation because momentum is not conserved in this scenario since external forces like friction are acting on the ball. The ball is only gaining kinetic energy.
Option D (Keyana's ball had more potential energy) is not true because both Keyana and Sam released the ball from the same vertical height. Therefore, both balls had the same initial potential energy. The difference in their kinetic energies at the bottom can be explained by the difference in their conservation of energy due to friction.
Therefore, The correct statement that best explains why Keyana's ball had more kinetic energy than Sam's when it reached the bottom, even though energy is conserved, is: Sam's ball interacting with the track converted energy into heat.
To learn more about the conservation of energy click:
brainly.com/question/2137260
#SPJ1
Which is one way to determine whether a reaction was a chemical reaction or a nuclear reaction?
Answer:
Check how much energy was released during the reaction or check for a change in total mass