Answer:
The Height of the ball is 0.299 meters.
Explanation:
The conservation of energy must be taken into account in order to compute the height that the 0.5 kg ball achieves when rolling up a hill.
The ball's initial kinetic energy (KE) is determined by:
KE_initial is equal to (1/2)* m* v2.
Where m = 0.5 kg, the mass of the ball
v = the ball's speed (3 m/s)
The ball's potential energy (PE), which it acquires as it ascends the hill, is determined by:
PE = m * g * h
Where: g = the acceleration brought on by gravity (9.8 m/s2)
h is the hill's height, which will be determined.
We can infer that there isn't much energy lost through friction because the ball slides up the hill. Consequently, the ball's initial kinetic energy will be equal to
KE = PE
(1/2) * m * v^2 = m * g * h
Substituting the given values:
(1/2) * 0.5 kg * (3 m/s)^2 = 0.5 kg * 9.8 m/s^2 * h
0.5 * 0.5 * 9 = 9.8 * h
2.25 = 9.8 * h
h = 2.25 / 9.8
h = 0.229 m
Therefore, The ball reaches a height of 0.229 meters.
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12 A car travels in a straight line at speed v along a horizontal road. The car moves
against a resistive force F given by the equation
F = 400+kv²
where F is in newtons, v in ms-1 and k is a constant.
At speed v = 15ms-1, the resistive force F is 1100 N.
a
Calculate, for this car:
i the power necessary to maintain the speed of 15ms-¹,
ii the total resistive force at a speed of 30 ms-¹,
iii the power required to maintain the speed of 30ms-¹.
Answer:
i) Power = Force * Velocity = 1100 * 15 = 16500 W = 16.5 kW(ii) Find the value of k first: F = 400 + k(15^2) k = 28/9 F = 400 +(28/9)(30^2) = 320
Explanation:
true or false: Objects in motion always come to a stop even if no forces are acting upon them.
Find the speed of a sound wave in air when the temperature of the air is 17.3 °C
The speed of a sound wave in air is 341.33 m/s when the temperature of the air is 17.3 °C.
What is sound?In terms of physics, sound is a vibration that travels through a transmission medium like a gas, liquid, or solid as an acoustic wave. Sound is the reception of these waves and the brain's perception of them in terms of human physiology and psychology.
At 0° C, speed of sound in air is = 331 m/s
speed of sound ∝ √T
Hence, at 17.3°C, the speed of sound in air is = 331 m/s ×√{(273+17.3)/273}
= 341.33 m/s.
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Two people try to lift a heavy box. Jack pulls upward with a 100-newton
force. Jill pulls upward with a 50-newton force, but neither person moves the
box.
Compare the amount of work done on the box by Jack and Jill.
OA) Jack did twice as much work as Jill.
OB) Jack did fifty times more work than Jill.
OC) Jack and Jill did the same amount of work.
Answer:
A ( Jack did twice as much work as Jill
Explanation:
we calibrated the gaussmeter before using it to measure the magnetic field and it should be calibrated every time before usage. without doing so, the data will likely deviate slightly from the expected values. can you think of the reason why the calibration should be done before every measurement?
For our delicate measurement equipment to continue to operate accurately, gaussmeter calibration is necessary. In order to achieve this, we compare the instrument to one with a standard or greater accuracy. Then, if there is a deviation from the actual reading, we find it and fix it.
How is a magnetic field calibrated?By delivering a reverse field to the magnet that is strong enough to bring the output (of flux) down to a reasonable level, magnetic calibration is accomplished.
Using a Tesla or Gauss metre, one may determine the intensity of a magnet's magnetic field. Many people who utilise magnets today possess their own Gauss metres and decide what magnetic field strengths are acceptable. The magnet analyzer will measure the magnetic field strength for multi-polar magnets.
The Hall Effect in semiconductors is the basis for how a digital Gauss metre functions. A voltage is created at a right angle to the current route when a semiconductor with current flowing in one direction is introduced perpendicular to a magnetic field.
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A rabbit runs a distance of 60 meters in 20s. What is the average speed?
Answer:
3 m/s
Explanation:
Given,
Total distance = 60 m
Total time = 20 s
We know that,
Average speed = Total distance/Total time
=> Average speed = 60 m/20 s
=> Average speed = 3 m/1 s
=> Average speed = 3 m/s
Average speed=Total distance/Total time
\(\\ \sf\longmapsto Average\:Speed=\dfrac{60}{20}\)
\(\\ \sf\longmapsto Average\:Speed=3m/s\)
A car, initially traveling at 5 meters per second north, accelerates to 25 meters per second north in 4.0 seconds. Determine the magnitude and direction of the car's acceleration.
Answer:
a = 5 [m/s²]
Explanation:
To solve this equation we must use the following equation of kinematics.
\(v_{f} =v_{o} +a*t\)
where:
Vf = final velocity = 25 [m/s]
Vo = initial velocity = 5 [m/s]
a = acceleration [m/s²]
t = time = 4 [s]
Note: The positive sign for the acceleration in the above equation means that the car is increasing its velocity.
25 = 5 +a*(4)
25 - 5 = 4*a
20 = 4*a
a = 5 [m/s²]
If the half life of a decaying isotope is 10 years, which statement is true after 8 years
Answer:
is suppoesd to say after 20 yrs
Explanation:
is the force ratio fp/fe greater than 1, less than 1, or equal to 1? explain.
The force ratio fp/fe is equal to 1. This is because the unsigned charges of the proton and the electron are equal, and they experience the same electric field. The magnitude of the electric force experienced by a charged particle in an electric field at a position is equal to the product of the electric field and the unsigned charge of the particle.
F = qE
where
F is the force
q is the charge
E is the electric field
The proton and the electron have the same charge, so the magnitude of the force they experience is equal. The electric field is also the same, so the force ratio fp/fe is equal to 1.
fp/fe = q_p E / q_e E = 1
In other words, the force on the proton is equal to the force on the electron.
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A circular coil of wire of 200 turns and diameter 2. 0 cm carries a current of 4. 0 A. It is placed in a magnetic field of 0. 70 T with the plane of the coil making an angle of 30° with the magnetic field. What is the magnetic torque on the coil?
The magnetic torque on the coil is 0.011 Nm, which is calculated using the formula τ = NBIAsinθ, where N = 200, B = 0.70 T, I = 4.0 A, A = π(0.01 m)^2, and θ = 30°.
The formula = NBIAsin, where N is the number of turns in the coil, B is the strength of the magnetic field, I is the current flowing through the coil, A is the area of the coil, and is the angle between the plane of the coil and the direction of the magnetic field, determines the magnetic torque on a circular coil of wire in a magnetic field. The coil in this instance has 200 turns and a diameter of 2.0 cm, resulting in a surface area of (0.01 m)2. The coil has a current of 4.0 A flowing through it and is positioned in a magnetic field of 0.70 T at an angle of 30° to the field's direction.
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what is the velocity of a plane that traveled 5000 miles north followed by 10000 miles north in 20 miles?
Answer:
potential energy
Explanation:
potential energy
Chemical energy, the energy stored in chemical bonds, is thus considered a form of potential energy. Some everyday examples of potential energy include the energy of water held behind a dam, or of a person about to skydive out of an airplane.
The velocity of a plane that traveled 5000 miles north followed by 10000 miles north in 20 hours would be 750 miles/hour.
What is Velocity?The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object.
The mathematical expression for velocity is given by
velocity= total displacement/Total time
The total displacement of the plane = 5000 miles +10000 miles
=15000 miles
velocity = displacement/Time
velocity =15000/20 hours
=750 miles/hour
Thus, the velocity of the plane would be 750 miles/hour.
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Your question seems incomplete, the complete question is,
what is the velocity of a plane that traveled 5000 miles north followed by 10000 miles north in 20 hours?
I need help!!!!!!!!!!!!!!!!!!!
What is an example of magnetism creating electricity?
Answer:
Moving a magnet around a coil of wire, pushes the electrons in the wire and creates an electrical current.
Can someone help me with this last question
Alcohol can be considered a blank
Answer:
a depressant
Explanation:
According to current study, alcohol usage may increase a man's risk of depression in any circumstance. One explanation is that alcohol may cause a genetic defenselessness to the disorientation. Furthermore, because booze is a depressive, this may result in a discouraged frame of mind among persons who already mishandle or rely on drinking. Similarly, having a family who has struggled with alcoholism or depression increases your risk for both issues. Liquor may have a negative impact on sleep, which becomes a significant issue when you're depressed. Melancholy now trades rest quality by causing you to sleep excessively or insufficiently. When you add booze to the mix, your ability to obtain a good night's sleep is gone. Antidepressants, for example, may be used to relieve despondency. If you drink and take antidepressants at the same time, the consequence can be dangerous. For one thing, alcohol might dilute the stimulant's beneficial effects. Furthermore, drinking may have a stronger affect on you than usual, impairing your behavior.
Thanks
Bus with a weight of 650 N is sitting on the ground and the bottom of the box measures 0.5 m by 0.7 m. What is the pressure exerted by the box on the ground?
Answer:
185.71 N
Explanation:
Weight = 650N
Dimensions of box = 0.5m by 0.7m
Pressure = ?
The relationship between these quantities is given by;
Pressure = Weight / Area
Area = 0.7 * 0.5 = 3.5 m^2
Pressure = 650 / 3.5 = 185.71 N
Which layer represented by the canyon wall at this location would have been deposited first in geologic time?
In order to determine which layer represented by the canyon wall at this location would have been deposited first in geologic time, we must first understand the principle of superposition.
This principle states that in an undisturbed sequence of rock layers, the oldest rocks are at the bottom and the youngest rocks are at the top. Therefore, the layer closest to the bottom of the canyon wall would have been deposited first in geologic time. However, it's important to note that this is only true for undisturbed rock layers. If there has been any type of tectonic activity or erosion, the sequence of the layers may have been disrupted. Additionally, determining the exact age of the layers may require the use of radiometric dating methods.
This law states that in undisturbed sedimentary rock layers, the oldest layers are found at the bottom and the layers progressively become younger as you move upward. In a canyon setting, the sedimentary layers are exposed along the canyon walls, enabling geologists to study the history of deposition and geological events. The first layer to be deposited at this location formed the base of the canyon wall, serving as the foundation for subsequent layers. As time progressed, new sedimentary layers were deposited on top of older layers, creating the visually distinct strata that you see along the canyon wall today.
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what is the momentum of a 558 kg car moving with a velocity of 10.9 m/s?
Answer: 6082.2 kg·m/s
Explanation:
Momentum = p = mv = (558 kg)(10.9 m/s) = 6082.2 kg·m/s
Which of the following electromagnetic radiations have the smallest wavelength?A) Ultraviolet wavesB) X-rays C) Gamma raysD) Microwaves
Gamma rays have the smallest wavelength among the given options. So the correct option is C) Gamma rays.
Electromagnetic radiation is characterized by varying wavelengths. The electromagnetic spectrum spans a range of radiations, from longer wavelengths like radio waves to shorter wavelengths like gamma rays. Among the options provided, gamma rays have the smallest wavelength.
Gamma rays possess the smallest wavelength among the given electromagnetic radiations. Gamma rays have extremely short wavelengths, which are even shorter than X-rays and ultraviolet waves. They are highly energetic and are produced through various processes, such as radioactive decay or nuclear reactions. Gamma rays are used in various fields, including medicine (e.g., radiation therapy) and industry (e.g., sterilization), due to their ability to penetrate materials and interact with matter at the atomic level.
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Suppose high tide is at midnight, the water level at midnight is 3 m, and the water level at low tide is 0.5 m. Assuming the next high tide will occur 12 hours later (at noon), find the time, to the nearest minute, when the water level is at 1.125 m for the second time after midnight.
We have that the time, to the nearest minute, when the water level is at 1.125 m for the second time after midnight is
\(t=10.0hours\)
From the Question we are told that
Maximum height \(h_{max}=3m\)
Minimum height \(H_{min}=0.5m\)
Time for next high tide will occur\(T=12 hours =>720 min\)
Generally Average Height
\(h_{avg}=\frac{3+0.5}{2}\\\\h_{avg}=1.75\)
Therefore determine Amplitude to be
\(A=h_{max}=j_{avg}\\\\A=3-1.75\\\\A=1.25\)
Generally, the equation for Time is mathematically given by
At t=0
\(h(x)=Acos(Bx)+h_{avg}\)
Where
\(B=\frac{2\pi}{P}\\\\B=\frac{2\pi}{720}\\\\B=8.73*10^{-3}\)
Therefore
\(h(t)=Acos8.73*10^{-3}(t)+h_{avg}\)
Hence the Time at \(T=1.125\) is
\(1.125(t)=1.25cos(8.73*10^{-3})(t)+1.75\)
\(-0.1249t=1.75\)
\(t=10.0hours\)
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the sun, moon, and stars choose one or more: a. appear to move each day because earth rotates. b. rise north or south of east and set north or south of west, depending on their location on the celestial sphere. c. appear in the same location in the sky everywhere on earth because earth is in the center of the celestial sphere. d. change their relative positions over time.
The correct statement about the sun, moon, and stars are the option A, B, and D. Those are: (a) appear to move each day because the Earth rotates, (b) rise north or south of east and set north or south of west, depending on their location on the celestial sphere, and (d) change their relative positions over time
What are the effects of the Earth's rotation?The rotation of Earth within its own axis, and also changes in the orientation of the rotation axis in space. One rotation of the Earth is in 24 hours. This condition affect the Sun and the Moon, as follow:
- As the Earth rotates from west to east, the Sun appears to rise in the east and set in the west. (option b is correct)
- Just one part of the Earth that faces the Sun is alight and thus experiences day; the part of the Earth that does not face the Sun experiences night.
→ So, the Sun, Moon, and Stars seem to change their relative positions over time (option d is correct) and appear to move each day because the Earth rotates (option a is correct)
→ Therefore, the Sun, Moon, and Stars are not appear in the same location in the sky (option c is incorrect)
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a small object is placed between two plane mirrors inclined at an angle of 60° to each other in a dark room how many images are seen explain
Answer:
nothing
Explanation:
bocouse of darkness
3. Some surfboards weigh more than others. How does a board’s weight affect the amount of force needed to get it moving?
The weight of the board influences the amount of effort required to move it because if it were too heavy, it would just sink, and if it were too light, it would simply float away.
The gravitational pull of a second, significantly bigger object, like the Earth or Moon, on a first object is known as weight. According to the universal law of gravity, any two objects will gravitate toward one another due to their masses with a force that is inversely proportional to the square of the distance between them and precisely proportional to the product of their masses. The source of weight is this law. Because of this, larger objects naturally weigh more when placed in the same location. However, the further an object is from the Earth, the less weight it has. An object's weight at the South Pole is somewhat higher than its weight at the North Pole because the Earth's polar radius is slightly less than its equatorial radius.
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similarities and differences between the last time the globe warmed and the climate changes occurring today.
The similarity between the last time the globe warmed and the climate change occurring today is that both are caused by the emission of greenhouse gases into the atmosphere.
Greenhouse gases trap heat from the sun in the atmosphere, causing the earth's temperature to increase. The difference between the two is that the current warming is happening much faster than the last time the globe warmed. This is largely due to the amount of greenhouse gases that have been released into the atmosphere since the industrial revolution. In addition, the current warming is affecting the global climate in more extreme ways than the last time the globe warmed, with more frequent and intense storms, droughts, and heatwaves.
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n a mass spectrometer, chlorine ions of mass 35u and charge 5e are emitted from a source and accelerated through a potential difference of 250 kv. they then enter a region with a magnetic field, which is perpendicular to their original direction of motion. the chlorine ions exit the spectrometer after being bent along a path with a radius of curvature 3.5 m. what is the value of the magnetic field (u
Magnetic field will be equal to 0.269 T
What is magnetic field?A magnetic field, a vector field that defines the magnetic effect on moving electric charges, electric currents, and magnetic materials. A moving charge within a magnetic field experiences a force perpendicular to its velocity and to the magnetic field.
Given,
Mass of chlorine ion is 35u
We know that 1 u = 1.66 × 10⁻²⁷kg
Radius of circular path (r) = 3.5 m
Mass of chlorine ion = 35 × 1.66 × 10⁻²⁷
= 58.1 × 10⁻²⁷kg
Charge (q) = 1.6 × 10⁻¹⁹C
Potential difference (V) = 250 Kv
According to conservation of energy:
¹/₂ mv² = qV
¹/₂ × 58.1 × 10⁻²⁷ × v² = 1.6 × 10⁻¹⁹ × 25 × 10⁴
v = 2.6 × 10⁶ m/s
As we know,
r = mV/qB
B = mV/qr
B = 58.1 × 10⁻²⁷× 25 × 10⁴/1.6 × 10⁻¹⁹× 3.5
B = 0.269 T
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Houston Astro's pitcher Framber Valdez throws a45.0 m/sfast ball to a Philly's batter, who hits it straight back to the pitcher at35 m/sbefore its caught and the out is called. The mass of a baseball is 145 grams. a. Calculate the initial momentum of the baseball (before it is hit). b. Calculate the final momentum of the baseball (after it is hit). c. The impulse given to the ball by the bat. d. The max force exerted on the ball from the bat, using the graph provided.
Given, Mass of base ball = 0.14 kg
speed before it made the contact with the ball (V i) = 42 m/s
speed after batter hit the ball(V f) = - 48 m/s
a) impulse = change in momentum
=
=
= -12.6 Kg m/s
b) Magnitude of impulse = 12.6 Kg m/
Force =
=
Force = 2520 N
The impulse given to the ball by the bat is, 2520 N.
Impulse is the essential of a pressure, F, over the time c programming language, t, for which it acts. For the reason that pressure is a vector quantity, impulse is likewise a vector quantity. Impulse carried out to an item produces an equivalent vector exchange in its linear momentum, also within the resultant path.
Calculation
Given, Mass of baseball = 0.14 kg
speed before it made the contact with the ball (V i) = 42 m/s
speed after batter hit the ball(V f) = - 48 m/s
a) impulse = change in momentum
= -12.6 Kg m/s
b) Magnitude of impulse = 12.6 Kg m/
Force = 2520 N
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how long does it take light traveling from the sun at 3.0 x 10 8 m/s to reach Jupiter. which is about 780 X 10 5 k/m away
The light travelling from sun to Jupiter in 43.33 minute.
Light can be define as, that it is electromagnetic radiation that can be detected by the human eye.
We are given that,
The distance from sun to Jupiter = d = 780 × 10⁵ km = 7.80 ×10¹¹m
The speed of light from the sun to Jupiter = v = 3.0 × 10⁸m/s
Therefore , to get the value of distance from sun to Jupiter by the equation is given as,
v = x/t
t = x/v
Where, t is the time taken by light from sun to Jupiter and x is the distance and v is shown speed of light from sun to Jupiter.
Then by putting the values in above equation we get,
t = (7.80 ×10¹¹m)/(3.0 × 10⁸m/s)
t = 2.6 ×10³ sec
t = (2.6 ×10³)/60 minutes
t = 43.33minutes
Thus, the light travelling from sun to Jupiter in 43.33minutes.
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a proton is placed at point a. the proton is then removed and an electron is placed at point b. what is the direction of the electric force ? give angle relative to x with ccw as positive. what is the direction of the electric force ? what is true of the magnitude of the two forces?
When a proton is removed from point A and an electron is placed at point B, the direction of the electric force will be from point B towards point A. The angle of this force relative to the x-axis would be 180 degrees, with counterclockwise as positive.
As the electron and proton have equal and opposite charges, the magnitude of the force between them will be the same as the magnitude of the force between the proton and the electron.
The magnitude of the force between the proton and electron can be determined by Coulomb's law, which states that the force is proportional to the product of the charges and inversely proportional to the square of the distance between them.
In other words, the magnitude of the two forces is equal, but the direction of the two forces is opposite.
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A negative charge of -0.0005 C exerts an attractive force of 9.0 N on a second charge that is 10m away. What is the magnitude of the second charge?
The magnitude of the second charge is calculated using Coulomb's law. The magnitude of the second charge is 0.00022 C.
What is Coulomb's law ?Coulomb's law states the force exerted between two charges is directly proportional to magnitude of charges and inversely proportional to their distance.
F = k q1 q1/r²
where k is a constant equal to 8 × 10⁹ Nm²/C²
Given F = 9 N
q1 = - 0.0005 C
r = 10 m
9 N = - 0.0005 C × q2 × 8 × 10⁹ Nm²/C² /(100 m²)
q2 = 9 N × 100 m² / (- 0.0005 C ×8 × 10⁹ Nm²/C² )
= 0.00025 C
Therefore, the magnitude of the second charge here is 0.00025 C.
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The magnitude of the second charge is 3.6 x 10⁻⁶ C.
What is the magnitude of the charge?The electric charge carried by a single proton, or alternatively, the magnitude of the electric charge carried by a single electron, which has charge e, is the elementary charge, which is often represented as e or occasionally q. This fundamental physical constant is this elemental charge.
The electric force between two point charges is given by Coulomb's law:
F = kq₁q₂ / r²
where F is the force between the charges,
k is Coulomb's constant (9 x 10⁹ N·m²/C²),
q₁ and q₂ are the magnitudes of the charges,
and r is the distance between them.
In this problem, we are given the force between two charges and one of the charges.
We can rearrange Coulomb's law to solve for the magnitude of the second charge:
q₂ = F * r² / (k * q₁)
Substituting the given values, we get:
q₂ = 9.0 N * (10 m)² / (9 x 10⁹ N·m²/C² * 0.0005 C)
q₂ = 3.6 x 10⁻⁶ C
Therefore, the magnitude of the second charge is 3.6 x 10⁻⁶ C.
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a. Discuss the 1) coastal engineering projects, 2) phases of a coastal engineering project. b. A wave is approaching perpendicular to the 500 m long breakwater. The incident wave is 1.5 m high and 30 m long. Estimate the height of the wave on 1) the back side of the breakwater at a distance of 250 m from one of the ends, 3) at a distance of 60 m from one of the edges along the time which is at a 60-degree angle with the breakwater. c. A wave in water that is 15 m deep has a period of 11 s and a height of 1.4 m. a) calculate the water particle velocity and the pressure at a point 0 m ahead of the wave crest and 2 m below the still water level, b) calculate the horizontal and vertical displacement of the water particle orbit at this point
Coastal engineering projects involve the design and construction of structures to manage and protect coastal areas from erosion, floods, and other natural hazards.
In a wave approaching perpendicular to a 500 m long breakwater, the height of the wave on the backside at a distance of 250 m from one of the ends can be estimated using wave transformation principles.
However, the height of the wave at a distance of 60 m from one of the edges along a 60-degree angle with the breakwater requires additional information, such as wave direction and wave transformation equations, to provide an accurate estimate.
For a wave in water that is 15 m deep with a period of 11 s and a height of 1.4 m, the water particle velocity and pressure at a point 0 m ahead of the wave crest and 2 m below the still water level can be calculated using wave theory equations. The horizontal and vertical displacement of the water particle orbit at this point can also be determined using the properties of wave motion and particle orbits.
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if a solution contains 30 g of
potassium chloride (KCI) per 100 mL of water at 60°C, the
solution would be considered saturated.
true
false