The final angular speed of the sphere is 4ω.
Calculation:Angular momentum will remain conserved.
What is conservation of angular momentum?A spinning system's ability to conserve angular momentum ensures that its spin will not change until it is subjected to an external torque; in other words, the rotation's speed will not change as long as the net torque is zero.
Angular momentum is given by,
L = Iω
where,
L = angular momentum
I = moment of inertia
ω = angular speed
The moment of inertia of a solid sphere is,
I = [tex]\frac{2}{5} MR^{2}[/tex]
For the question,
L₁ = L₂
I₁ω₁ = I₂ω₂
Given,
R₁ = R
R₂ = R/2
ω₁ = ω
To find,
ω₂ =?
Substituting the values in the equation,
I₁ω₁ = I₂ω₂
[tex]\frac{2}{5}[/tex](MR²)ω = [tex]\frac{2}{5}[/tex] M(R/2)²ω₂
R²ω = (R²/4)ω₂
ω = (1/4)ω₂
ω₂ = 4ω
Hence, the final angular speed of the sphere is 4ω.
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4ω is the final angular speed of the sphere.
When a solid sphere of radius r rotates about a diameter with an angular speed w, the sphere then collapses under the action of internal forces to a final radius r/2, 4ω is the final angular speed of the sphere.
Angular momentum will remain conserved.
Angular momentum is given by,
L = Iω
where,
L = angular momentum
I = moment of inertia
ω = angular speed
The moment of inertia of a solid sphere is,
I = [tex]\frac{2}{5}[/tex][tex]MR^{2}[/tex]
For the given problem,
L₁ = L₂
I₁ω₁ = I₂ω₂
We are given,
R₁ = R
R₂ = R/2
ω₁ = ω
To find,
ω₂ =?
On substitution of the values in the equation,
I₁ω₁ = I₂ω₂
[tex]\frac{2}{5}[/tex](MR²)ω = [tex]\frac{2}{5}[/tex] M(R/2)²ω₂
R²ω = (R²/4)ω₂
ω = (1/4)ω₂
ω₂ = 4ω
Hence, we can conclude that the final angular speed of the sphere is 4ω.
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A sound wave has a speed of 340 m/s and a frequency of 1000 hz. The period of the sound is closest to?
The frequency and the period are inversely proportional.
[tex]f=\dfrac{1}{T}[/tex] where T is the period
Solving the QuestionWe're given:
v = 340 m/sf = 1000 HzBecause the frequency and the period are reciprocals of each other, we can find the period of the sound by finding the reciprocal of the frequency:
[tex]T=\dfrac{1}{1000}[/tex]
Answer[tex]T=\dfrac{1}{1000}[/tex]
The quartz crystal in a digital watch has a frequency of 32. 8 khz. what is its period of oscillation?
Time Period of Oscillation-1/32800 Hz
Time Period of Oscillation - 3.04 × 10¹.
Two related parameters are oscillation frequency and period. Actually, they are the opposites of one another. As a result, the following formula can be used to determine the quartz crystal's oscillation period:
Time Period of Oscillation = 1/Oscillation Frequency
where.
Frequency of Oscillation-32.8 KHz
Frequency of Oscillation - 32800 H₂
Therefore
Time Period of Oscillation-1/32800 Hz
Time Period of Oscillation - 3.04 × 10¹.
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The time period of oscillation is 3.04×10
what is time period?
A time period (denoted by 'T'' ) is the time taken for one complete cycle of vibration to pass a given point.[1] As the frequency of a wave increases, the time period of the wave decreases. The unit for time period is 'seconds'.
The related parameters are oscillation frequency and period.They are the opposite of the another.As a result the formula to be used is
frequency=1/time
given:
Frequency of oscillation=32.8khz=32800hz
therefore,
time period of oscillation=1/32800hz
time period of oscillation=3.04×10
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What is the surface tension of water? of rubbing alcohol? was your prediction correct or incorrect?
Rubbing water (isopropyl alcohol) has lesser surface tension than that water.
Water possesses a surface tension of 72 dynes/cm.
Whereas rubbing alcohol has a surface tension of 23 dynes/cm.
what is surface tension?Surface tension is the propensity of liquid surfaces at rest to shrink to the smallest possible surface area.
Because the atoms on the outside of the molecules (often hydrogens) lack strong hydrogen bonding capabilities, most organic liquids have very low surface tensions. Because isopropanol contains just 28%, OH and the remainder is CH or CH3, the linkages that hold a droplet together are few and far between.
The only substance with a higher surface tension than water is liquid mercury (450 dyne/cm).
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How fast isn’t a ball going when it hits the ground after being dropped from a height of 9 m? the acceleration of gravity is 9.8 m/s2
Answer:13,3 m/s
Explanation:We can use the Torricelli equation:
v^2=v0^2+2ah
the initial velocity is 0
v0^2=0
so:
v^2=0+2*9,8*9
v^2=176,4
v=13,3 (approx)
Answer:
For me i think the answer will be 13.72m/s
A spring with a constant k=400n/m shoots a 1. 00kg ball up a frictionless incline after being compressed 0. 150m. what is the maximum height reached by the ball?
The maximum height reached by the ball is 0.46m.
To find the answer, we have to know about the potential energy of a spring mass system.
How to find the maximum height reached by the ball?It is given that,[tex]k=400N/m\\m=1kg\\x=0.150m\\h=?\\[/tex]
We have to find the maximum height reached by the ball.Thus, we have the expression for potential energy of a spring mass system and that of gravitational field as,[tex]U=\frac{1}{2}kx^2 \\U=mgh[/tex]
Combining both, we get,[tex]h=\frac{kx^2}{2mg} =\frac{400*(0.15)^2}{2*1*9.8} =0.46m[/tex]
Thus, we can conclude that, the maximum height reached by the ball is 0.46m.
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What is the electric potential energy of a 4. 0 uc charge placed at that point where the electric potential at that point in space is 8 v?
The electric energy is 32 uj
The electric potential of a point charge is [tex]V=kQ/r[/tex], or [tex]V = k Q / r[/tex]. Electric potential is a scalar while the electric field is a vector. While the total electric field can be computed by adding individual fields as vectors, the voltage resulting from a collection of point charges can be calculated by adding voltages as integers.
It is decided to set the potential at infinity to zero. [tex]E=Fq=kQr^2[/tex], but V for a point charge reduces with distance while decreasing with distance squared. Remember that the electric field E is a vector, but the electric potential V is a scalar with no direction.
The electric energy is (8×4)=32 uj
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The electric potential at that point in space is 8 v is 32uj
what is electric potential energy?
Potential energy is the energy within an object relative to its position and proximity to other objects within a field.
The electric potential of a point charge is V=kQ/rV=kQ/r , or V = k Q / rV=kQ/r . Electric potential is a scalar while the electric field is a vector. While the total electric field can be computed by adding individual fields as vectors, the voltage resulting from a collection of point charges can be calculated by adding voltages as integers.
It is decided to set the potential at infinity to zero.
but V for a point charge reduces with distance while decreasing with distance squared. Remember that the electric field E is a vector, but the electric potential V is a scalar with no direction.
The electric energy is (8×4)=32 uj
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A six volt battery is connected to a three and a six ohm resistor as shown in the circuit diagram. What is the voltage drop across the 6 ohm resistor?
A
1 V
B
3 V
C
6 V
D
12 V
6 V drop occurs across the 6 ohm resistor in the parallel circuit diagram. The correct answer is C.
Since this parallel combination is connected with a cell, the potential difference through each resistor will be 6 volts. Now using I=V/R,
Current through 3 ohm resistor = 6/3 = 2 V
Current through 6 ohm resistor = 6/6 = 1 V
And the total current will be the sum of individual current in each resistor using Kirchoff’s junction law, Total current = 3 ampere
Since it is parallel combination the current passing across two resistors can differ but the voltage drop will remain the same.
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The wavelength of a transverse wave is the distance between successive crests (or troughs). What is the wavelength of a longitudinal wave?
The distance between adjacent compressions or rarefactions is called the wavelength of the longitudinal waves.
To find the answer, we have to know more about the Longitudinal waves.
What are Longitudinal waves?If the particles in of the medium vibrate in the direction of propagation of the wave, the wave motion is called longitudinal wave motion. These waves are possible in media with bulk modulus, such as solids, liquids and gases.Sound waves are longitudinal waves.Longitudinal wave travel in the form of compressions and rarefactions.A compression is a high-density, high-pressure region and a rarefaction is vice versa.The distance between adjacent compressions or rarefactions is called the wavelength of the longitudinal waves.Thus, we can conclude that, the distance between adjacent compressions or rarefactions is called the wavelength of the longitudinal waves.
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A baseball pitcher throws a fastball with a 100 ns impulse. if he applied the force in 0. 15 seconds, what force did he apply?
Answer:
The force he will apply is 666.667 N
Explanation:
The impulse is given as the product of Force and time:
Impulse (I) = F * t
As we are provided with the impulse and that is:
I = 100 ns and t = 0.15 s
So, required force is:
F = I/t
F = 100/0.15
F = 666.6667 N
Open the resistance in a wire simulation, adjust only the length of the resistor, what happens to resistor?
If we increase the length of the resistor, resistance will also increase and vice-versa.
It is given that in a wire simulation, we have to adjust only the length of the resistor.
It required to find the effect on resistor when adjust only the length of the resistor.
What happens to resistor when adjust only the length of the resistor?As we know that the length is directly proportional to the resistance of the wire that means is we increase the size or length of the wire then it also increase the resistance present in the wire. On the other hand if we decrease the length of the wire, it will decrease the resistance. This can be represented as:
Resistance = resistivity × length/area
This is also because there is more collision of the flowing electrons in the wire to the metal ions present there.
Thus if we increase the length of the resistor, resistance will also increase and vice-versa.
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When unpolarized light is incident on a sheet of polarizing material with a transmission axis oriented vertically, what percentage of the light is transmitted through the material
Answer:
If the light were incident upon two polarizers at right angles, no light would get thru - thus each polarizer must block 50% of the light.
One polarizer would allow 50% of the light to pass.
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A concave mirror is also referred to as a converging mirror and it can be defined as a type of mirror that is designed and developed with a reflective surface that is typically curved inward and away from the source of light.
Basically, one common use of a convex mirror include the following:
Shaving mirrorsSearchlightsDental mirrors.What is a convex mirror?A convex mirror is also referred to as a diverging mirror and it can be defined as a type of mirror that is designed and developed with a reflective surface that typically bulges outward toward the source of light.
Basically, one common use of convex mirror is as rear-view mirrors in automobiles vehicles.
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The henry's law constant for n2 is 6. 2×10−4matm at 25∘c. what pressure of nitrogen is needed to maintain a n2 concentration of 0. 53 m?
The pressure of nitrogen which is needed to maintain a N2 concentration of 0. 53 m is 3.2 × 10^(4).
What is pressure?It is defined as the continuous physical force applied on or against an object by something which is in contact with it.
It is also defined as the force per unit area.
What is henry's law?The henry law constant is thr ratio of the partial pressure of compound in air to the concentration of compound in water at given temperature.
C= kp
where,
C is the concentration of compound = 0.53m
k is the henry constant = 6. 2×10−4matm
p is the pressure of compound
By substituting all the value we get,
C = 6. 2×10−4 × p
0.53 = 6. 2×10−4 × p
p = 0.53/6. 2×10−4
p = 3.2 × 10^(4)
Thus we find that the pressure needed to maintain a N2 concentration of 0. 53 m is 3.2 × 10^(4).
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Part a a calorimeter consists of an aluminum cup inside of an insulated container. The cup is weighed on a top-loading balance and is found to have a mass of 31. 91 g. A reaction is conducted in the calorimeter, raising the temperature from 21. 2 c to 26. 1 c what is the change in heat q for the aluminum cup in units of j? aluminum has a specific heat of 0. 903 j 1 ? 1 write your answer to the correct number of significant figures.
The change in heat q for the aluminum cup is 141 J.
What is Specific heat?A substance's heat capacity is the amount of heat needed to increase its overall temperature by one degree. The heat capacity is known as the specific heat capacity or the specific heat if the substance's mass is unity.
change in heat -
The amount of heat Q that is transported to create a temperature shift depends on the substance and phase involved, the mass of the system, and the magnitude of the temperature change. (A) The temperature change and the amount of heat transported are directly inversely related.
The answer's sign dig is determined by a calculation's lowest sign digits.
The solution will need 3 digits because the temperatures are provided with 3 significant digits and the specified heat has 3 significant digits (the mass has 4 significant digits).
31.91 g * 0.903 J/g-C * (26.1 - 21.2 C) = 141 J
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What is the mass of an object that experiences a gravitational force of 685 n near earth's surface where g = 9.80 m/s2?
The mass of an object that experiences a gravitational force of 685 N near earth's surface where g = 9.80 m/s² is 98.89 kg.
What is gravitational force?Any two mass-containing objects are attracted to one another by the gravitational force. Because it consistently attempts to pull masses together rather than pushing them apart, the gravitational force is known as attractive.
In reality, everything in the cosmos is tugging on everything else, including you!
According to the question,
The gravitational force of 685 N near earth's surface.
The acceleration due to gravity is g = 9.80 m/s².
The formula for force acting of the body under the influence of gravitation is ;
Force = mass×acceleration
Substitute the given values;
685 = m×9.8
m = 685/9.8
m = 69.89 kg.
Therefore, mass of an object is 69.89 kg.
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A 1300 kg sports car can accelerate from 0 to 27 m/s in 5.2 seconds. How much power from the engine is directly going into accelerating the car? Group of answer choices 474,000 W 3375 W 35,100 W 91,100 W
The power expended is calculated as 91,100 W.
What is the power?We know that the acceleration can be obtained by the use of the equation;
v = u + at
v = final velocity
u = initial velocity
t = time
a = acceleration
a= v - u/t
a = 27 - 0/ 5.2 = 5.2 m/s^2
Thus;
v^2 = u^2 + 2as
but u= 0 m/s
v^2 = 2as
s = v^2/2a
s = (27)^2/2 * 5.2
s = 70 m
Now;
Work done = 1300 kg * 5.2 m/s^2 * 70 m = 473200 J
Power = 473200 J/5.2 seconds
Power = 91,100 W
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A horizontal 52-n force is needed to slide a box across a flat surface at a constant velocity of 3.5 m/s. what is the coefficient of kinetic friction between the box and the floor?
μk = 0.106 is the coefficient of kinetic friction between the box and the floor
When the box is moving across the flat surface with a constant velocity, the force applied to it must be equal to the kinetic frictional force applied to the object:
F = μk*W = μk*mg
Where,
F = Force applied on box = 52 N
m = mass of box = 50 kg
g = 9.8 m/s²
μk = coefficient of kinetic friction between box and floor
hence,
52 N = μk(50 kg)(9.8 m/s²)
μk = (52 N)/(490 N)
μk = 0.106
Kinetic friction is the name for a force that exists between sliding parts. A force opposing a body's forward motion is applied to one that is moving on the surface. The kinetic friction coefficient between the two materials will determine the magnitude of the force.
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A laser emits light with a frequency of 4. 75×1014 s−1. What is the wavelength of this radiation, in nm?.
A Final statement or concluding statement
The equation that relates wavelength, frequency, and speed of light is
c=λ × ν
To find wavelength, λ = c / f
λ = wavelength in meters
ν = frequency in Hertz (Hz) or 1s or [tex]s^{-1}[/tex].
= 3 ×[tex]10^{8}[/tex] m/s / 4. 75 × [tex]10^{14}[/tex] [tex]s^{-1}[/tex](Using velocity of light as 3 x 108 m/s)
= [tex]6.3[/tex]×[tex]10^{-7}[/tex]m
= [tex]6.3[/tex] × [tex]10^{2}[/tex] nm
How is wavelength related to radiation?Electromagnetic radiation is an electric and magnetic disturbance that travels at the speed of light through space. It has no mass or charge and travels in packets of radiant energy known as photons or quanta.Radio waves and microwaves, as well as infrared, ultraviolet, gamma, and x-rays, are examples of EM radiation. Electromagnetic radiation moves at a constant speed in the form of a waveform.
The relationship of velocity to wavelength and frequency reveals the wave characteristics of EM radiation.
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An object having a fixed emissivity of 0. 725 radiates heat at a rate of 10 w when it is at an absolute temperature t. If its temperature is doubled to 2t, at what rate will it now radiate?.
It will now emit at a rate of 160 W.
What exactly is emissivity?the proportion of an emitter's energy to that of a blackbody, a perfect emitter with the same temperature, wavelength, and viewing circumstances. It ranges from 0 (for the optimum reflector) to 1 and has no dimensions (for a perfect emitter).
Why is emissivity important and what does it mean?The ability to reliably measure temperature using an infrared temperature sensor or a thermal imaging camera depends critically on emissivity, which measures a material's capacity to radiate infrared energy from its surface.
What substances exhibit a high emissivity?The type of surface affects a surface's emissivity in addition to the material. A smooth and polished metal surface will have a low emissivity in contrast to a roughened and oxidized metal surface, which will have a high emissivity.
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What was the possible impact of the maunder minimum on earth?
a) lower temperatures
b) higher temperatures
c) more hours of daylight
d) less hours of daylight
The possible impact of the maunder minimum on earth is a) lower temperatures
The Maunder Minimum, also known as the "prolonged sunspot minimum", was a period around 1645 to 1715 during which sunspots became exceedingly rare. During a 28-year period (1672–1699) within the minimum, observations revealed fewer than 50 sunspots.
The most recent grand solar minimum occurred during Maunder Minimum (1645–1710), which led to reduction of solar irradiance by 0.22% from the modern one and a decrease of the average terrestrial temperature by 1.0–1.5°C
During the Maunder Minimum, the Sun emitted less strong ultraviolet light, and so less ozone formed. The decrease in ozone affected planetary waves, the giant wiggles in the jet stream that we are used to seeing on television weather reports
correct option is
a) lower temperatures
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a lamp marked 100w 250v is lit up for 10hours, costs 2I what is the cost of lighting the lamp
Answer:
2k
Explanation:
100W X 10h = 1000Wh = 1KWh thus cost is 2k
Ice at 0. 0∘c has a density of 917 kg/m3. a 3. 00 cm3 ice cube is gently released inside a small container filled with oil and is observed to be neutrally buoyant. what is the density of the oil, rhooil?
The density of the oil is 917kg/ m³.
An object is said to be naturally buoyant when ithas the tendency to float in a fluid.
from the law of floating when a body float in a liquid,the weight of the liquid displaced by its immersed part is equal to the total weight of body.
That is
weight (w)=upthrust (u)
w=u
therefore
u=Dvg
where, D= density of the ice
v= volume of ice
g= acceleration due to gravity
from the question
given:
D = 917kg/m {}^{3} [/tex]
v = 3.00cm {}^{3} [/tex]
g = 9.8m/s {}^{2} [/tex]
substitute these values in above equation
u = 917(3 \times 10 {}^{ - 6} )(9.8)[/tex]
u=0.027N
but,
upthrust= weight of oil displaced.And the ice will displaced an amount of oil,equal to its own weight.
therefore,
density of oil = u/gv = (0.027)/3 \times 10 {}^{ - 6)} (9.8)[/tex]
density of oil = 917kg/m {}^{3} [/tex]
hence the density of the oil is 917kg/m {}^{3} [/tex]
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2. A rectangular block of weight 300N measures 0.1 m by 0.4 m by 1.5 m.
a) Draw a diagram to show how the block must rest to exert the maximum pressure on the ground. Calculate this
pressure.
b) Draw another diagram showing the position of minimum pressure. Calculate this pressure.
Answer:
that's all I could do.hope it helps.
convert 0.74ev to joules
Approximating the eye as a single thin lens 2. 75 cmcm from the retina, find the eye's near-point distance if the smallest focal length the eye can produce is 2. 20 cm.
The near-point distance of the eye is 11 cm.
What is the eye's near-point distance?The near-point distance of the eye is the closest possible distance an object can be from the eye in order for its image to be formed on the retina. It can also be termed the closest distance of accommodation.
The near-point distance of the eye in the given scenario can be calculated using the lens formula given below:
1/f = 1/v + 1/u
where;
f = focal length
v = image distance
u = object distance
From the data provided;
f = 2.20 cm
v = 2.75 cm
u = ?
Solving for u:
1/u = 1/f - 1/v
1/u = 1/2.20 - 1/2.75
1/u = 0.91
u = 11 cm
In conclusion, the lens formula is used to determine the eye's near-point distance.
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An ordinary car battery has a charge of 13 volts. When starting the car, the battery delivers about 600 amperes to the car motor. What is the resistance of this circuit?
A
46.15 ohms
B
0.02166 ohms
C
600 ohms
D
7800 ohms
Answer:B
0.02166 ohms
Explanation:
Answer:
Explanation:
Formula
Voltage (volts) = current (amps) * resistance (0hms). The terms in brackets are the units.
Givens
V = 13 volts
I = 600 amps
R = ? ohms
Solution
V = I * R
13 = 600 * R Divide both sides by 600
13/600 = 600R/600 Do the division
0.0216 ohms = R This is almost a dead short.
Answer
R = 0.0216
A race car traveling northward on a straight, level track at a constant speed travels 0.760 km in 21.0 s. The return trip over the
same track is made in 26.0 s.
(a) What is the average velocity of the car in m/s for the first leg of the run?
m/s
(b) What is the average velocity (in m/s) for the total trip?
m/s
The average velocity of the car in m/s for the first leg is 36.2 m/s and the average velocity (in m/s) for the total trip is 7 m/s
What is Speed and Velocity ?Speed is the distance travelled per time taken. The S.I unit is m/s. The average speed is the ratio of the total distance travelled to the to time taken. While velocity is the distance travelled in a specific direction per time taken
Given that a race car traveling northward on a straight, level track at a constant speed travels 0.760 km in 21.0 s. The return trip over the same track is made in 26.0 s.
(a) The average velocity of the car in m/s for the first leg of the run will be
Velocity = (0.760 x 1000)/ 21
Velocity = 760 / 21
Velocity = 36.2 m/s
(b) The average velocity (in m/s) for the total trip will be
36.2 - (0.760 x 1000)/ 26
36.2 - (760) / 26
36.2 - 29.2
7 m/s
Therefore, the average velocity of the car in m/s for the first leg is 36.2 m/s and the average velocity (in m/s) for the total trip is 7 m/s
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What is the mechanical advantage of a simple block and tackle with one rope?
2
3
4
1
Answer:
Mechanical advantage is a measure of the force amplification achieved by using a tool, mechanical device or machine system. Ideally, the device preserves the input power and simply trades off forces against movement to obtain a desired amplification in the output force. The model for this is the law of the lever.”
Explanation:
a person can pull approximately 60% of their own weight horizontally along the ground in good conditions. So if we need a 500 lb pull to get something done and we have a single groundman who weighs 200 lb and can therefore generate around 120 lb of pull, how can we accomplish this 500 lb pull? The simple answer is that the groundman can go find 4 or 5 good friends who are willing to drop everything and come and help him pull on the rope.
Present Your Findings
Write a summary paragraph discussing this experiment and the results. Use the following questions to help guide the content of your paragraph.
What was your hypothesis? According to your data, was your hypothesis was correct?
Why did some substances require larger additions before a color change was seen? What does this indicate about the strength of the acid or base?
What happened in the final step of the experiment? What does the final color indicate?
To what extent was this experiment useful in determining pH? Could a specific pH be determined using this procedure?
Why are acid and base indicators important? How could they be used in everyday life?
The sample summary paragraph which discusses an experiment and the results based on the reason why some substances require larger additions before a color change was seen is given below:
If the substance has a weak base solution (pH=8) and you add phenolphthalein, for example, you would only see a pink color change if a lot of phenolphthalein because it is used for stronger bases.
Also, when phenolphthalein is added to acids and weak bases, they tend to have a colorless coloration.
However, if phenolphthalein is added to a strong base, there would be a color change that is noticeable and it would be changed to pink.
What is a Strong Base?This refers to the compound that has the ability to remove a proton from a very weak acid.
Hence, we can see that a summary paragraph is given above based on the use of large addition of elements to some substances before there is a noticeable color change is mentioned above.
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The electric field inside a metallic conductor that is in electrostatic equilibrium is?
The electric field inside a metallic conductor that is in electrostatic equilibrium is zero.
An electric field is a physical field that surrounds electrically charged particles and acts as an attractor or repellent to all other charged particles in the vicinity. It can also refer to a system of charged particles' physical field.
Since there are many electrons, there is also a strong force of repulsion between them. Therefore, the electrons travel to the conductor's surface to reduce the repulsion between them. Therefore, we can state that there is no net charge present inside the conductor.
So, The electric field inside a metallic conductor that is in electrostatic equilibrium is zero.
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