The mass of the block on the table is 2.33 kg.
The Tension in the rope is 4.9 N.
What is the mass of the block on the table?
The mass of the block on the table is calculated by applying Newton's second law of motion.
Newton's second law of motion states that the force applied on an object is directly proportional to the product of mass and acceleration of the object.
F = ma
where;
m is the mass of the blocka is the acceleration of the blockF(net) = ma
m₂g - m₁g = a(m₁ + m₂)
where;
m₂ is the mass of the hanging blocka is the acceleration of the blockm₁ is the mass of the block on tablem₂g - m₁g = m₁a + m₂a
m₂g - m₂a = m₁a + m₁g
m₂g - m₂a = m₁(a + g)
3.6(9.8) - 3.6(2.1) = m₁(2.1 + 9.8)
27.72 = 11.9m₁
m₁ = 27.72 / 11.9
m₁ = 2.33 kg
The tension in the rope is calculated as follows;
T = m₁a
T = 2.33 kg x 2.1 m/s²
T = 4.9 N
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a car with a momentum of 50000 kg ms north has a mass of 2175 kg what is the velocity of the car
The velocity of the car will be 22.98 m/s with a momentum of 50000 kgms and has a mass of 2175 kg.
Momentum is the term used to describe the state of motion of an item whose mass is non-zero. Thus, momentum has an impact on all moving objects. p=mv, where m is an object's mass and v is its rate of motion, is the formula for momentum. Due to its classification as a part of velocity, momentum is a vector. This implies that momentum has a sizeable magnitude and a clear direction, with the latter shown by a vector or an arrow. A certain mass and speed are two examples of when an object has momentum. Momentum always remains constant as a result. Momentum conservation law states as such.
The formula of momentum will be:
p = mv
where, p = momentum = 50000 kgms
m = mass = 2175 kg.
v = velocity = ?
substitute the given values,
momentum = mass x velocity
50000 =2175 x v
v = 50000 / 2175
=22.98 m/s
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A person moves a box across a room by pushing downwards on it with a force of 485 N at an
angle of 35.0° below the horizontal. If the box has a mass of 32.6 kg and is pushed at constant
velocity, what is the coefficient of kinetic friction between the box and the floor?
The coefficient of kinetic friction between the box and the floor is 0.87.
What is the coefficient of kinetic friction?
The coefficient of kinetic friction between the box and the floor is calculated by applying the formula for net force on the box.
F(net) = ma
where;
F(net) is the net forcem is mass of the boxa is the acceleration of the boxat a constant velocity, the acceleration of the box, a = 0
F(net) = 0
The net force is obtained from the applied force and force of friction;
Fcosθ - μmg = 0
where;
F is the applied forceμ is the coefficient of kinetic frictionθ is the angle at which the force is applied = 90 - 35 = 55⁰μmg = Fcosθ
μ = Fcosθ / mg
μ = (485 x cos55) / (32.6 x 9.8)
μ = 0.87
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What is the change in momentum applied by a boxer to his rival when he strikes him with a force of 200N in 0.05s?
The change in momentum applied by a boxer to his rival when he strikes him with a force of 200N in 0.05s is 10 Ns
What is momentum?Momentum can be defined as "mass in motion". All objects have mass. So if an object is moving, it has momentum and its mass is moving. An object's momentum depends on two variables: How much matter is moving and how fast is it moving? It is the strength or power gained by a movement or sequence of events.
Momentum (P) equals mass (M) times velocity (v). However there are other ways to think about momentum. Force (F) is equal to change in momentum (ΔP) with respect to change in time (Δt). Also, the change in momentum (ΔP) is equal to the momentum (J). Impulse has the same units as impulse (kg*m/s or N*s).
ΔP = F × Δt
ΔP = 200 × 0.05
ΔP = 10 Ns
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How much work is done on the object as it moves from 0.0m to 2.0m?
The work done on the object as it moves from a distance of 0.0m to 2.0m is 40 J.
What is work done?Work done is defined as the product of the force applied and the distance moved by the force.
Work done = force * distanceThe unit of work done is Joules.
Based on the graph:
When the object moves from 0.0 m to 2.0 m
The force applied between 0.0 m to 2.0 m is 20 N
Hence, the work done will be:
Work done = 20 * 2.0
Work done = 40 J
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A laser beam from Earth is reflected back from a mirror on the Moon in 2.60 s. If the distance between Earth and the Moon is 3.85 × 108 m, calculate the speed of light. Please show all work. (ref: p.438-446)
The speed of the light is found to be 1.48 * 10^8 m/s.
What is the speed of the light?We know that the moon is a non luminous body in the solar system. This means that the moon does not produce any light as we can see. The light that appears to come from the moon is light that has been reflected from the surface of the moon.
Now we know that;
Distance that have been covered from the moon = 3.85 × 10^8 m
Time taken to move from the moon = 2.60 s
Speed of the light = Distance/ time
= 3.85 × 10^8 m/2.60 s
= 1.48 * 10^8 m/s
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A machine gun is pointed upward at an angel 30° with respect to the horizontal and fires a projectile with a velocity of 200m/s .find the height and range of the projectile
The height and range of the projectile are 500 meters.
Solution:
The initial vertical speed is 100m/s (200Sin30) so if g is 10m/s per second it will take 10 seconds to rise and 10 seconds to fall → 20 seconds fire time.
Horizontal velocity is 200Cos30 or 173 m/s
Range? 3460 meters.
Height? The average vertical speed is 50m/s (from 100 to zero) and it rises for 10 seconds. 500 meters.
This equation defines the maximum projectile height from the launch position and depends only on the vertical component of the initial velocity. The maximum horizontal distance a projectile travels is called range. The range is the difference between the lowest and highest values. Indicates that the maximum horizontal distance is four times the maximum height the projectile will reach.
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What is the mass of an object moving at a speed of 5 m/s and has a momentum of 20 kg. m/s?
Answer:
An object of mass 20 kg is moving with a velocity of 10 m / s. Its momentum will be: A. 2000 kg · m / s, B. 200 kg · m / s, C. 2 kg · m / s, D. 20 kg · m / s An object of mass 20 kg is moving with a velocity of 10 m / s. Its momentum will be: A. 2000 kg · m / s, B. 200 kg · m / s, C. 2 kg · m / s, and D. 20 kg · m / s.
Explanation:
The correct option is (B) 200 kg.m/s
Given,
Mass of the body = 20 kg
Velocity of the body = 10 m/s
We know,
The momentum of a body is given by the product of the mass of the body and velocity.
So,
M
o
m
e
n
t
u
m
P
=
M
a
s
s
m
×
V
e
l
o
c
i
t
y
v
Putting all the values
P
=
20
×
10
=
200
kg.m/s
Hence the momentum of the body is 200 kg.m/s
(It's solved :))
Mass of a body is 100±2% kg and it's volume is 100±3% m³. Find the percentage error of the density of the body.
The mass and volume of a body are given, then the percentage error of the density of the body will be equal to 5%.
What is density?Mass per unit volume of a solid substance, density. Density is defined as d = M/V, where M stands for gravity, and V for volume.
The measure of density that will be most frequently used is grams per cubic centimeter. For instance, the density of Earth is 5.51 grams per cubic centimeter, whereas the density of water is 1 gram per cubic centimeter. Kg per cubic meter is another method for determining density.
Mass, M = 100±2% kg = 100±0.02 kg
Volume, V = 100±3% m³ = 100±0.03 m³
P =M/V
Use the error analysis method,
log P = log M - log V
Differentiate on both sides of the above equation,
dP/P = dM/M+dV/V
Check for maximum possible error:
dP/P = 0.02/100+0.03/100 = 0.05/100
dP/P = 5%.
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What is the momentum of rolling ball?
30kg/ms is the momentum of an 10 kg bowling ball rolling at 3 m/s.
What is momentum?As momentum depends on both velocity and the direction of the body's motion, it is quantified by "mass velocity". Since velocity is a vector and mass is a scalar, momentum is a vector quantity. Mass times speed equals momentum.
p = mv
where m is the mass of the object , v is the velocity of the object.
From this, we get
p = 10 kg × 3 m/s
= 30 kg m/s
What is velocity?The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate.
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Please help me
Explain why driver age 16-18 are most likely to be involved in traffic accidents
Answer:Lack of experience.
Explanation:
Research from the CDC points to a few key reasons teen drivers are likely to be involved in car accidents: Lack of experience. Teen drivers have triple the fatal crash risk of older drivers, in part because they do not have the skills to recognize and avoid road hazards.
compute the position and the focal lenght of a converging lens of which will profuce the image of a lamp magnified 4 times on a screen 10cm from the lamp
Find the displacement and acceleration of the object in the graph.
The correct answer is as per graph displacement and acceleration is initially 0 m & 0 m/s^2, at middle 0 m & Infinity m/s^2 and finally 320 m & 5 m/s^2 respectively.
What is relation between velocity & acceleration with respect to displacement and time?
Velocity = Displacement / Time
Acceleration = Velocity / Time
Given data:
V1 = 40 m /s, t = 0 (Initial Velocity)
Displacement = 40 x 0 = 0 m,
Acceleration = 40 / 0 = 0 m/s^2
V2 = 0 m/s, t = 4 sec
Displacement = 0 x 4 = 0 m,
Acceleration = 0 / 4 = Infinity m/s^2
V3 = -40 m/s, t = 8 sec
Displacement = -40 x 8 = 320 m (in opposite direction)
Acceleration = -40 / 8 = 5 m/s^2
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what is the importance of Biology Organization?
Answer:
Like everything in life, organisation is important. One major reason is the systematic and structural building of the subject into different levels so it becomes easier to study each separately as opposed to the whole in one go.
Also, it shows how each level integrates into the next in a clear and simpler way.
when we study about cells, as the basic building block of living things, we can focus on the cell as a unit and its structures and the multitude of processes that take place within its membrane and without, we learn how living organisms whether unicellular or multicellular survive. The field of microbiology is well suited to that level.
The next level of tissues, illustrates how similar cells interact and form a group.
Going into organs, different tissues have to be compatible so they can perform specific function(s). This surely is important to illustrate the performance of organs as part of systems.
A whole living organism is a collection of all those systems working together and coordinating on a constant and continuous basis to make sure that the biological machinery is fully functional, free of ailments and diseases.
A healthy organism needs to make sure that all levels are in synchrony to be able to survive and pass on its genetic information to the next offspring to ensure the survival of the species
8. A .5 kg soccer ball is kicked with a force of 50 N for .25 s. What is the change in momentum caused by the kick
The mass of soccer ball is 5 kg. A ball got a force (50 N) which caused change in momentum for 25 second.
The value of the change in momentum can be described below :
The change in momentum is called as Impuls.
The formula of Impuls --> I = F × t
I = Impuls, F = Force (N), t = time (s)
I = F × t
I = 50 × 25 = 1250 Ns
So, the change in momentum of 5 kg ball is 1250 Ns.
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a brick is thrown upwards at an angle 25 to the horizontal and with an initial velocity of 15 m/s
a) how long did the brick stay in air
b) determine the maximum horizontal distance traveled by the brick
a) The brick was in the air for 7.84 sec.
b) The maximum horizontal distance traveled by the brick is 9.1 m.
What is a projectile motion?When a particle is thrown obliquely near the surface of the Earth, it travels in a curved path with constant acceleration towards the center of the Earth (assuming the particle stays near the surface). Such a particle trajectory is said to be a projectile, and the motion is called projectile motion.
How to calculate the following?Time of flight (T) = 2usinθg
Where, u = initial velocity (15 m/s)
θ = 25°
g = 9.8 m/s²
T = 2 × 0.4 × 9.8
T = 7.84 s
Horizontal distance or range (R):
R = [tex]\frac{u^{2}sin2\theta }{2g}[/tex]
R = 9.1 m
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An airplane is flying with a force of 800 N. It experiences a force of air resistance of 40 N and a wind force of 60 N, both acting in the opposite direction that the plane is traveling. What is the net force on the airplane?
An airplane is flying with a force of 800 N. It experiences a force of air resistance of 40 N and a wind force of 60 N, both acting in the opposite direction that the plane is traveling. The net force on the airplane will be 700 N
Force with which airplane is flying ( F1 ) = 800 N
opposite to which two forces are acting
air resistance = 40 N
wind force = 60 N
net force = F1 - 40 - 60 = 800 - 100 = 700 N
The net force on the airplane will be 700 N
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Which of the following correctly ranks the magnitude of the average acceleration of the cart during the four sections of the graph?
a) Acd > Aab > Abc > Ade
b) Abc > Aab > Acd > Ade
c) Aab > Abc > Ade > Acd
d) Acd > Aab > Ade > Abc
The magnitude of the average acceleration of the cart: a(CD) > a(AB) > a(DE) > a(BC). Therefore, option (d) is correct.
What is average acceleration?Acceleration can be defined as the rate of change of velocity and is denoted by ‘a. It is measured in the units of m/s². For a particular interval, the average acceleration is the change in velocity for that specific time interval.
Average acceleration is calculated by the following formula,
Average acceleration = Δv/Δt
Where Δ v is the change in velocity and Δt is the total time in the velocity is changing.
For the curve AB:
Average acceleration = [tex]a =\frac{v_f-v_i}{t_f-t_i}[/tex]
a = (8 -0)/(0.6 - 0) = 13.3 m/s²
For the curve BC:
Average acceleration = [tex]a =\frac{v_f-v_i}{t_f-t_i}[/tex]
a = (8 -8)/1 - 0.6) = 0 m/s²
For the curve CD:
Average acceleration = [tex]a =\frac{v_f-v_i}{t_f-t_i}[/tex]
a = (0-8)/(1.2 -1.0) = -40 m/s²
For the curve DE:
Average acceleration = [tex]a =\frac{v_f-v_i}{t_f-t_i}[/tex]
a = (-4-0)/(2.0 - 1.2) = 5 m/s²
Therefore, the magnitude of the average acceleration of the cart: Acd > Aab > Ade > Abc
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If a space rover has a mass of 3900 kg, then what is its weight
on Mars?
The mass of space will same as 3900 kg on earth and mars. Because mass does not change in space.
If an area rover has a mass of 3900 kg in the world, the mass on Mars when it lands could be 3900kg. The mass of an area rover is 3900 kg.
The mass of the area rover on Mars may also be identical 3900 kg due to the fact the mars is an identical amount it won't trade in line with area or time, it stays consistent. wherein as weight might be modified. The mass of the item is usually steady, anywhere it's far on earth or Moon or any other planet.
Mars is bigger than Mercury, however, it is not as dense because a smaller planet. if you weighed sixty-eight kg on earth you then might weigh 25.6 kg on Mars. due to the fact, Pluto was demoted to a dwarf planet, Mars became the planet wherein you will weigh the least. Jupiter is the biggest planet in our sun gadget with the most mass.
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Suppose a hockey puck slides down a frictionless ramp with an acceleration of 4.10 m/s2. What angle does the ramp make with respect to the horizontal?
Suppose a hockey puck slides down a frictionless ramp with an acceleration of 4.10 m/s2 . The angle that the ramp make with respect to the horizontal will be 24.71°
F net = 0
mg sin(theta ) = mass * acceleration
sin(theta) = a /g
theta = [tex]sin^{-1}[/tex] ( a / g)
= [tex]sin^{-1}[/tex] ( 4.10 / 9.8 )
= [tex]sin^{-1}[/tex] ( 0.418 )
= 24.71°
The angle that the ramp make with respect to the horizontal will be 24.71°
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Which has more momentum a heavy truck moving at 50 km/h or a light truck moving at 50km h?
A heavy truck would have larger momentum.
What does momentum depend on ?Because a body's mass and velocity affect its momentum. Additionally, a large truck would have higher momentum because its mass is greater than that of a light truck.
As momentum depends on both velocity and the direction of the body's motion, it is quantified by "mass velocity". Since velocity is a vector and mass is a scalar, momentum is a vector quantity.
The highest velocity change occurs in instance B, and momentum change relies on velocity change (as stated above). Keep in mind that each of the aforementioned collisions involved a ball rebounding off a wall. Observe that the acceleration, momentum change, and impulse increase with increasing rebound effect.
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A student rubbed a plastic rod with a doth
The rod became negatively charged and the cloth became positively charged
explain why the cloth became positively charged
Answer:
When different insulating materials rub against each other, they can become electrically charged. When the cloth is rubbed against the rod, the friction causes electrons to gain energy, transferring themselves to the rod and therefore becoming posively charged. The rod is now negatively charged as it has gained electrons.
3.A 12V battery is in series with a 10ohm resistor ,an open switch and a 20mH inductor. a) What is the current flowing in the circuit after the switch has been closed for a long time? b) What is the value of time constant c)How much current will be flowing in the circuit after 10ms d) What is the voltage across the resistor and inductor at t=10ms e) At what rate is the current changing at this instant f)How many time constants will it take for the current to reach 99.4% to maximum value
Answer:
A. I = 12/(10 + 20mH) = 0.545 A
B. Time constant = 20mH
C. I = 0.545 * (1 - e^(-10/20mH)) = 0.49 A
D. V = 12 - IR = 12 - (0.545 * 10) = 10.91 V
E. di/dt = 12/20mH = 0.6 A/s
F. It will take 3 time constants for the current to reach 99.4% of its maximum value.
Explanation:
A golf ball has a mass of 45.6 grams. It rolls off a table at a height of 85.0 cm above the ground. As it bounces, 0.115 J of energy is lost. What maximum height does it travel to after the bounce? You may neglect air resistance.
The maximum height traveled by the ball of mass 45.6 grams is 0.593 m.
What it height?Height is the vertical distance between two points.
To calculate the maximum height the golf ball will travel to after the bounce, we use the formula below.
Formula:
h = (mgH-E')/mg......... Equation 1Where:
H = Height of the tableE' = Energy lost by the ballm = Mass of the ballh = Maximum height traveled by the ballg = Acceleration due to gravityFrom the question,
Given:
m = 45.6 g = 0.0456 kgH = 85 cm = 0.85 mE' = 0.115 Jg = 9.8 m/s²Substitute these value into equation 1
h = [(0.0456×0.85×9.8)-0.115]/(0.0456×9.8)h = 0.593 mHence, the maximum height traveled by the ball is 0.593 m.
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A ball is thrown straight upward and returns
to the thrower’s hand after 2.39 s in the air.
A second ball is thrown at an angle of 35.0
◦
with the horizontal.
At what speed must the second ball be
thrown so that it reaches the same height as
the one thrown vertically? The acceleration
of gravity is 9.81 m/s
2
.
Answer in units of m/s.
The speed the second ball must be thrown so that it reaches the same height as the one thrown vertically is 40.84 m/s.
What is the maximum height reached by the first ball?
The maximum height travelled by the first ball is calculated by applying the following kinematic equation as shown below;
h = vt + ¹/₂gt²
where;
v is the initial vertical velocity of the first ball = 0t is the time of motion of the first ballh = 0 + ¹/₂gt²
h = ¹/₂gt²
h = ¹/₂(9.8)(2.39²)
h = 28 m
The speed the second ball must be thrown so that it reaches the same height as the one thrown vertically is calculated as follows;
h = (u²sin²θ)/2g
u²sin²θ = 2gh
u² = (2gh) / (sin²θ)
u² = (2 x 9.8 x 28) / (sin 35)²
u² = 1,668.1
u = √1,668.1
u = 40.84 m/s
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Juan
has been really limiting his calories hoping to lose weight quickly. He figures as long as he drinks a lot of water, the impact on his body will not
be that bad. However, after a week of eating as little as possible, he has actually gained two pounds. What BEST explains why this happened?
A. His body is holding onto calories because of his low calorie intake.
His scale clearly has a problem because he should see weight loss by now.
He was only eating high fat food and now he has switched to healthy food.
D. He is not doing any exercise, so he cannot lose any weight based on diet alone.
B.
C.
He was solely consuming high-fat foods until recently, when he began consuming nutritious foods.
Briefing:
Instead of helping you lose weight, hopping from one diet fad to another can make you put on weight. Your daily calorie intake can fluctuate significantly, which can cause your metabolism to slow down. To adjust to new food, your metabolism needs about three weeks.
Obesity is typically brought on by excessive eating and insufficient exercise. A large portion of the excess energy will be stored by the body as fat if you consume large amounts of energy, especially fat and sugars, without expelling it through exercise and physical activity.
Even if the food is good for you, the calories can still add up and result in a weight loss plateau or even weight gain.
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If I have a USB 3.1 port that provides a maximum current of 0.9A at a voltage of 5V, when I connect a device with a resistance of 2 ohms and I want to calculate the current that will flow through it. I use Ohm's law and calculate that the current that will flow will be 2.5 by dividing the voltage by the resistance, but if the maximum current it provides is 0.9 A how is this possible? Am I calculating wrong?
Answer:
By understanding exactly what the word resistance means in this context. It is a simple constant of proportionality.
sample of a conductor, there was a simple linear relationship between current and voltage. If you doubled the voltage the current would double. It is possible to write
R=V/I
Explanation:
a 4000 kilogram truck travels in a straight line at 10 0 msec what is its momentum
The momentum of the truck is 40,000 kg m/s
Given mass of a truck = 4000 kg
mass when expressed in grams will be
mass of a truck = 4 grams
However since the standard unit of momentum is kg m/s we will not convert the units
And the velocity which is given is 10 m/s
And momentum can be defined as the product of mass and velocity
thus momentum = mass × velocity
momentum = 4000 × 10
momentum = 40000 kg m/s
Thus the momentum of the truck is 40,000 kg m/s
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The diagram shows an oscilloscope
trace from an AC supply. Calculate
the period of this supply if each
horizontal division represents 2ms.
The period of the this given oscilloscope trace from an AC supply is calculated as 1 * 10⁻³ seconds.
What do you mean by period?Period of a wave is the inverse of the frequency so the formula for wave period is, T = 1 / f , where T is period which is the time taken for one cycle to complete, and F is frequency.
To obtain period from frequency, first you have to convert frequency from Hertz to 1/s and then divide 1 by the frequency. The period of a wave is measured in seconds (s), while the frequency is measured in Hertz (Hz).
Given each horizontal division is 2ms
the time= 10ms
Period = 1/T
= 1/10ms
= 0.1ms
Period = 1 * 10⁻³ seconds
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The ability of a covalently bonded atom to attract the shared electrons is called.
What is Electronegativity?
It is unusual for the more electronegative atom to fully dominate the bond pair of electrons in covalent bonds if there is a significant difference in the electronegativities of the bound atoms, leading to the creation of two ions. The more electronegative atom creates an anion in this situation, whereas the more electropositive atom transforms into a cation.All covalent connections between organisms that are not homologous contain an ionic component. The difference in electronegativity determines the covalent bond's ionic nature. The bond will be more covalent than ionic when the electronegativities of the bound species are not significantly different.However, the bond becomes polar enough to be regarded as more ionic than covalent when there is a significant enough difference in the electronegativities of the bound atoms.
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2.
In order to expand agriculture and urban areas to meet increased demand for growing
populations, water supples often have to be diverted. In three to five sentences, construct a
potential chain of consequences for what could happen when water is diverted from large bodies
like lakes and rivers. The chain does not have to be linear (i.e., five steps 1n a row), but can have
several branches, one for each different potential consequence.
Water bodies' quantity and flow both decrease.
What will happen if large water bodies are diverted?When a river is redirected away from major water bodies, like rivers, lakes, etc. the volume of water flowing through the rivers and lakes decreases, and there is a reduction in the flow of water as well. This is because the water flows to the diverted sides of the river. We can say that this river's diversion has a detrimental impact on other communities because the areas it flows through may also suffer from a lack of water for either daily necessities or crop production.
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