Hopkins Memorial Forest in western Massachusetts has been collecting meteorological and environmental data for more than 100 years. Scientists at the forest have observed that in the past few years, the sulfate content in water samples collected from Birch Brook has averaged 7.48 mg/L with a standard deviation of 1.60 mg/L.
Meteorological and environmental data are crucial for understanding the state of the natural environment. Hopkins Memorial Forest in western Massachusetts has been collecting this data for over a century. The data collected in the forest can provide valuable insights into how environmental factors such as climate change, pollution, and other factors affect the local ecosystem.They have found that the sulfate content in these samples has averaged 7.48 mg/L with a standard deviation of 1.60 mg/L.
This information is useful for understanding how sulfate levels in the water are changing over time, and whether this could have any implications for the local ecosystem.The scientists at Hopkins Memorial Forest in western Massachusetts have a unique dataset that can provide valuable insights into how environmental factors affect ecosystems over time. By continuing to collect meteorological and environmental data, they will be able to gain a better understanding of how the environment is changing and how these changes could affect the local ecosystem in the future.
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A ball rolls from x = -5 m to x = 0 m in 1 second. What was its average velocity?(Units = m/s)
Don't forget: velocities and displacements to the right are +, to the left are -.
Answer:
\(5\; {\rm m\cdot s^{-1}}\).
Explanation:
Displacement is the change in position. In this example, the position of this ball changed from the initial value of \(x_{0} = (-5)\; {\rm m}\) to the final value \(x_{1} = 0\; {\rm m}\). Subtract the initial position from the final position to find the change in position:
\(\begin{aligned} & (\text{Displacement}) \\ =\; & (\text{Change in Position}) \\ =\; & (\text{Final Position}) - (\text{Initial Position}) \\ =\; & 0\; {\rm m} - (-5)\; {\rm m} \\ =\; & 5\; {\rm m} \end{aligned}\).
Velocity is the rate of change in position. To find average velocity (average rate of change in position), divide the total change in position (displacement) by the time required for the change:
\(\begin{aligned} & (\text{Average Velocity}) \\ =\; & \frac{(\text{Total Change in Position})}{(\text{Time Required})} \\ =\; & \frac{(\text{Displacement})}{(\text{Time Required})}\\ =\; & \frac{5\; {\rm m}}{1\; {\rm s}} \\ =\; & 5\; {\rm m\cdot s^{-1}} \end{aligned}\).
Therefore, the average velocity will be \(5\; {\rm m\cdot s^{-1}}\).
Fighter jets on aircraft carriers are accelerated down a 270 foot "runway" in two seconds when they are taking off. A fully loaded, combat ready F-15 has a maximum take-off weight of 62,000 pounds. To ensure the pilot can reach sufficient velocity within 2 seconds a pneumatic cannon propels the plane down the runway. If this same cannon was used to launch your Toyota Corolla (mass is 2646lbs), how fast in miles per hour would you be going after reaching the end of the runway?
The speed of the Toyota Corolla would have been 143.9 mph.
What is the acceleration of the F-15?
The acceleration of the F-15 can be calculated as follows:
Acceleration = Velocity Change / Time = (Take-off Speed) / Time
where;
Take-off Speed = √(2dg /t²)
Take-off Speed = √(2 x (270 ft) x 32.2 ft/s² / (2 s)²)
T = √(17496) = 131.6 ft/s
Acceleration = Velocity Change / Time
= (131.6 ft/s) / (2 s) = 65.8 ft/s²
We can use the same acceleration to launch the Toyota Corolla, and calculate its final velocity:
Final Velocity = Initial Velocity + Acceleration x Time
where;
Initial Velocity = 0 (because the car is not moving initially), Time = 2 sFinal Velocity = 0 + (65.8 ft/s²) * (2 s) = 131.6 ft/s
Finally, we can convert the velocity from feet per second to miles per hour:
Velocity (mph) = Velocity (ft/s) x (1 hour/3600 s) x (5280 ft/mile)
= 131.6 ft/s x (1 hour/3600 s) x (5280 ft/mile)
= 143.9 mph
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a 5.2kg bowling ball is accelerated from rest to a velocity of 12 m/s as the bowler covers 5.0m of approach before releasing the ball. what force is exerted on the ball during this time?
Answer:
74.88N
Explanation:
From the question,
F = ma................... Equation 1
Where F = force exerted on the ball, m = mass of the ball, a = acceleration
But,
v² = u²+2as.............. Equation 2
Where v = final velocity, u = initial velocity, s = distance.
Given: v = 12 m/s, u = 0 m/s (from rest), s = 5.0 m
Substitute into equation 2 and solve for a
12² = 0²+2×a×5
144 = 10a
10a = 144
a = 144/10
a = 14.4 m/s²
Also Given: m = 5.2 kg,
Substitute into equation 1
F = 5.2×14.4
F = 74.88 N
Hence the force exerted on the ball is 74.88 N
Use the term relative velocity to explain why it is helpful to paddle a boat downstream with
The flow of water.
It is helpful to paddle a boat downstream with the flow of water.
The downstream motion means that the boat and the river are going in the same direction. So, the speed of the boat will always be greater than the speed of the river as the speed of river will add up to that of the boat. The velocity of the boat as seen from the banks or the formula of downstream boating = ( u + v ) km/hr. and this is what we call as the relative velocity of the boat with respect to the river bank.
What is downstream motion?Motion of a boat a waterbody towards the direction of waterflow is called downstream motion.
What is relative velocity?Velocity of a body with respect to another body or reference is called relative velocity.
What is velocity?When speed of a body is defined along with direction, it is velocity.
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It is diffult to measure the volume of gas.Why?
Answer:
The volume of a gas is dependent on pressure and temperature.
Explanation:
Pressure and temperature affect different gases differently giving varied conclusions to the exact volume of that gas.
:-befrank
what is v(b), the electric potential at the inner surface of the conducting shell? define the potential to be zero at infinity.
In order to determine the electric potential at the inner surface of a conducting shell, we need to know the charge distribution on the shell and the potential at a reference point.
Assuming the conducting shell is a spherical shell with uniform charge density, we can use the following steps to determine the electric potential at the inner surface:
Define a reference point as the point at infinity where the potential is zero. Since the conducting shell is an equipotential surface, the potential is constant at all points on the inner surface. Use the definition of electric potential to calculate the potential difference between the reference point and a point on the inner surface of the shell.
The potential at the inner surface of the shell is the sum of the potential difference and the potential at the reference point. Therefore, the electric potential at the inner surface of the conducting shell, V(B), is given by:
V(B) = V(infinity) + ΔV
where V(infinity) is the potential at infinity, which is defined to be zero, and ΔV is the potential difference between infinity and the inner surface of the shell.
Assuming the conducting shell has a total charge Q and a radius R, the potential difference can be calculated as:
ΔV = kQ/R
where k is the Coulomb constant. Therefore, the electric potential at the inner surface of the conducting shell is:
V(B) = 0 + kQ/R
which indicates that the potential at the inner surface of the shell is proportional to the total charge on the shell and inversely proportional to the radius of the shell.
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A tudent who weigh 500 N on Earth travel to a planet whoe ma and radiu are twice that of Earth. Hi weight on that planet i about
His weight on that planet is about 1000 Newton. The result is obtained by using the formula for gravitational acceleration.
What is the formula for gravitational acceleration?The gravitational acceleration (acceleration due to gravity) can be counted by the following formula.
g = GM/R²
Where
g = acceleration due to gravity (m/s²(G = universal gravitational constant (6.6743 × 10⁻¹¹ m³kg⁻¹s⁻²)M = mass of an object (kg)R = distance from the center of mass of object (m)A student weigh 500 N on Earth. He travels to a planet whose mass and radius are twice that of Earth. Find his weight on that planet!
The weight force can be expressed as
W = mg
Let's say
g₁ = gravitational acceleration on Earthg₂ = gravitational acceleration on a planetThe mass of his weight is constant. So, we get
m = m
W₁/g₁ = W₂/g₂
W₁g₂ = W₂g₁
W₁(GM/R²) = W₂(G2M/(2R)²)
W₁(1/R²) = W₂(2/4R²)
W₁ = W₂(1/2)
2W₁ = W₂
W₂ = 2(500 N)
W₂ = 1000 N
Hence, on that planet, his weight is about 1000 Newton.
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What is the reason for a stone sink in the water but a plastic floats?
Select one:
A.
The density of plastic is greater than stone
B.
Mass of the stone is greater than mass of plastics.
C.
The density of plastic is greater than water.
D.
The density of stone is greater than water.
Cindy runs 2 kilometers every morning. She takes 2 minutes for the first 250 meters, 4 minutes for the next 1,000 meters, 1 minute for the next 350 meters, and 3 minutes for the rest.
Cindy’s average speed for the entire run is
meters per minute. One kilometer is the same as 1,000 meters.
Answer:
200 m / min
Explanation:
Total distance = 2000 m
Total time = 2+4+1+3 = 10 minutes
Average speed = 2000 m / 10 min = 200 m/min
Please answer the question
The two possible angles that he can throw the ball is 13.1⁰ and 77⁰.
The time in air for each angle are 0.92 seconds and 4 seconds.
What is the range of a projectile?
The range of a projectile is the maximum horizontal displacement of the projectile.
Mathematically, the range of a projectile is given as;
R = [u² sin(2θ)]/g
where;
θ is the angle of projectionu is initial velocity of the projectilesin(2θ) = Rg/u²
sin(2θ) = (18 x 9.8)/(20²)
sin(2θ) = 0.441
2θ = arc sin(0.441)
2θ = 26.2⁰
θ = (26.2⁰)/2 = 13.1⁰
Second possible angleθ' = 90 - 13.1⁰ ≈ 77⁰
Time of motion of the projectileR = Vₓt
t = R/Vₓ
t = (18 m) / (20 x cos77)
t = 4 seconds
t₂ = (18 m) / (20 x cos13)
t₂ = 0.92 s
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water is know to boil at 100°C.A student boiled water and realised it's boiling point was 101°C.State two possible reasons
-- impurities in the water
-- air pressure is higher than standard
A wave has a wavelength of 2 m and a frequency of 223Hz. How fast is it moving?
The wave is moving at a speed of 446 m/s.
The speed of a wave can be calculated using the formula:
v = λf
where v is the speed of the wave, λ is the wavelength, and f is the frequency.
In this case, the wavelength is 2 m and the frequency is 223 Hz. So, we can substitute these values into the formula:
v = 2 m × 223 Hz
The speed (v) of a wave is the distance it travels per unit time. It is usually measured in meters per second (m/s). Simplifying the expression, we get:
v = 446 m/s
Therefore, the speed of the wave is 446 m/s.
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Mot vat dao dong dieu hoa voi phuong trinh x= 6 cos (pi t-2 pi/3). khoang thoi gian de vat di duoc quang duong 3cm ke tu t=0
The particle will reach a displacement of 3cm from its equilibrium position at t = 1 and t = 7/3.
Given x = 6 cos(pi t - 2 pi/3). x = 3cm, t = 0.
Substituting the given equation, we have:
6 cos(pi t - 2 pi/3) = 3
Simplify the equation:
cos(pi t - 2 pi/3) = 1/2
We know that the cosine function is equal to 1/2 at two specific angles, which are pi/3 and 5pi/3 (due to the 2pi periodicity of the cosine function).
Therefore, we can set up two equations to solve for t:
pi t - 2 pi/3 = pi/3
pi t - 2 pi/3 = 5pi/3
Solving the first equation:
pi t = pi/3 + 2 pi/3
pi t = pi
t = 1
Solving the second equation:
pi t = 5pi/3 + 2 pi/3
pi t = 7pi/3
t = 7/3
Therefore, the conclusion is:
The particle will reach a displacement of 3cm from its equilibrium position at t = 1 and t = 7/3.
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what does the splitting of light into component colours through a prism indicate about the composition of sunlight?
\( \huge\longrightarrow{ \mathfrak{ \underline{ Answer }}}\)
The Sunlight is actually white in colour, but it's a mixture of seven different coloured lights of different wavelengths, and when sunlight is passed through a prism, it splits into its constituent units forming a spectrum when observed on a screen. And this shows that the Sunlight is composed of seven different coloured lights .
____________________________
They are :
Red ( highest wavelength )OrangeYellowGreen Blue Indigo Voilet ( lowest wavelength )____________________________
\(\mathrm{ \#TeeNForeveR}\)
One end of an insulated metal rod is maintained at 100°C while the other end is maintained at 0°C by an ice–water mixture. The rod is 60 cm long and has a cross-sectional area of 1.25 cm2. The heat conducted by the rod melts 8.5 g of ice in 10 min. Find the thermal conductivity k of the metal. For water, Lf = 3.34 × 105 J/kg.
227 W/(m · K)
241 W/(m · K)
253 W/(m · K)
232 W/(m · K)
The thermal conductivity of the metal is approximately B, 241 W/(m · K).
How to determine thermal conductivity?To find the thermal conductivity (k) of the metal, use the formula:
Q = k × A × (ΔT/Δx) × t
Where:
Q = Heat conducted by the rod (in Joules)
A = Cross-sectional area of the rod (in square meters)
ΔT = Temperature difference across the rod (in Kelvin)
Δx = Length of the rod (in meters)
t = Time (in seconds)
Given:
Q = 8.5 g of ice melted = 8.5 × Lf (latent heat of fusion of ice)
Lf = 3.34 × 10⁵ J/kg
Δx = 60 cm = 0.6 m
A = 1.25 cm² = 1.25 × 10⁻⁴ m²
t = 10 min = 600 seconds
ΔT = (100°C - 0°C) = 100 K
Substituting the given values into the formula:
8.5 × Lf = k × (1.25 × 10⁻⁴) × (100 K / 0.6 m) × 600 s
Simplifying the equation:
k = (8.5 × Lf) / [(1.25 × 10⁻⁴) × (100 K / 0.6 m) × 600 s]
Calculating the value:
k = (8.5 × 3.34 × 10⁵) / [(1.25 × 10⁻⁴) × (100 / 0.6) × 600]
k ≈ 241 W/(m · K)
Therefore, the thermal conductivity of the metal is approximately 241 W/(m · K).
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After the Big Bang, in order for the universe to become transparent to light and other electromagnetic radiation, what had to happen?a. stars and galaxies had to formb. the whole universe had to be hotter than the interior of a starc.the universe had to cool enough to allow neutral hydrogen to formd. the dark energy had to dominate over regular matter and energye. telescopes had to be invented
Option c: Following the Big Bang, the cosmos needed to cool enough for neutral hydrogen to develop in order for it to become transparent to light and other electromagnetic waves.
In order for the cosmos to become transparent to light and other electromagnetic radiation after the Big Bang, it had to cool sufficiently for neutral hydrogen to develop.
Recombination took place around 380,000 years after the Big Bang. This epoch in the universe's history is what led to cosmic microwave background radiation (CMB), which serves as a picture of the cosmos at that point in history.
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Look at the diagram. Both cars start from the same point. Which describes the motion shown?
A:One car travels south at 4 m/s. The other car travels east at 2 m/s.
B:One car travels north at 4 m/s. The other car travels west at 2 m/s.
C;One car travels north at 2 m/s. The other car travels east at 4 m/s.
D: One car travels south at 4 m/s. The other car travels west at 2 m/s. 7 of 10
Answer:
I can't see anything so I can't to answer this question
Answer:
I think it MIGHT be A Can't see much ....
Explanation:
which object emits more infrared radiation?
The object that emits more infrared radiation is the sun.
The object that emits more infrared radiation is the one with the higher temperature. This is because the amount of infrared radiation emitted by an object is directly proportional to its temperature. So, if an object has a higher temperature, it will emit more infrared radiation than an object with a lower temperature. The highest temperature object is the sun
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2. Which best represents a physical property of a
substance?
A. Acids act as a corrosive to metal.
B. Gold has a density of 19.3 g/cm3.
C. Sodium combines with chlorine to create
sodium chloride.
D. Hydrochloric acid reacts with zinc metal,
creating hydrogen gas.
An ant on a picnic table travels 3.0 x 101 cm eastward, then 25 cm northward, and finally 15 cm westward. What is the magnitude of the ant's displacement relative to its original position?
The magnitude of the ant's displacement relative to its original position is 43 cm.
What is magnitude?Magnitude is a measure of the size or strength of something. It is usually expressed as a numerical value, such as a number on a scale. Magnitude can refer to physical and non-physical qualities, such as the size of a building or the intensity of an emotion. For example, an earthquake can be measured in terms of its magnitude, which is the amount of energy released during the earthquake. Magnitude can also refer to the brightness of a star, or the size of a hurricane. In astronomy, magnitude is used to measure the brightness of a star or other celestial object.
This is because the ant traveled 3.0 x 101 cm eastward, then 25 cm northward, and then 15 cm westward. The total magnitude of the displacement is the sum of the magnitudes of the individual displacements, which is 3.0 x 101 + 25 + 15
= 43 cm.
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If a car's instantaneous velocity going down a ramp at 40cm is 2,105.3cm/s, predict the velocity of the car when it has traveled a distance of 70cm.
The velocity of the car will be 36.8 m/s when it has traveled a distance of 70 cm.
What is Instantaneous velocity?The velocity at any moment in time during a particle's motion is given by instantaneous velocity, a continuous function of time. By calculating the derivative of the position function, which gives us the functional form of instantaneous velocity v, we may determine the instantaneous velocity at a certain time (t).
Velocity is a vector quantity.
SI unit is m/s.
According to the question, the Given values are :
Distance =40 cm
=0.4 meter
Velocity, v =2105.3 cm/s
=21.053 m/s
21.053=0.4/t
⇒t=0.4/21.053
t=0.019 seconds
Now, the distance is 70 cm
=0.70 meters
v=0.7/0.019
v=36.8 m/sec
Hence, the velocity will be 36.8 m/sec when it has traveled a distance of 70 cm.
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A rock is dropped into a well. If you hear a splash 14 seconds later what was its speed
at the bottom?
Answer:
14 seconds
Explanation:
because you dropped it and it takes 14 seconds
What If Earth got Kicked Out of the Solar System?
Answer:
We wouldn't have our moon and sun. The earth will be colder and darker
Explanation:
Answer:
mars will become habitabe
Explanation:
true fact and every planet will become close to sun
Trong thí nghiệm về giao thoa sóng trên mặt nước gồm hai nguồn kết hợp S1S2 cách nhau 15 cm với dao động với tần số 30Hz. Tốc độ truyền vòng 48 cm/s.
a. Tìm khoảng cách giữa hai cực đại gần nhau nhất.
b Tìm số điểm dao động với biên độ cực tiểu giữa S1S2.
c. Trong vùng giao thoa điểm M trên mái nhất cách S1S2 lần lược các khoảng MS1 =1,5 cm và MS2=7,9 cm. M là cực đại hay cực tiểu và là đường thứ bao nhiêu so với đường trung trực của S1S2.
Answer:
this is a difficult question but I will try to answer it answer for this is 3220 a + b b u s y d l new
1. If we want to increase the strength of an electromagnet, which 2 of
these things can we do?
A)Use a less powerful battery
B)Have more coils of wire
C)Have fewer coils of wire
D)Use a smaller nail
E)Use more paperclips
F)Use a more powerful battery
Answer:
A) Have more coils of wire
F) Use a more powerful battery
A plane is flying horizontally with speed 171 m/s at a height 6520 m above the ground, when a package is dropped from the plane. The acceleration of gravity is 9.8 m/s 2 . Neglecting air resistance, when the package hits the ground, the plane will be 1. directly above the package. 2. ahead of the package. 3. behind the package.
Answer:
2. Ahead of the package
Explanation:
The plane is going straight without stopping while the package is going straight down.
State Newton's first law of motion .
Answer:
dis mans newton says if a body is at rest or moving at a constant speed in a straight linne it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force
Answer:
Newtons first law of motion states that"A body will continue to its state of rest or motion unless external force acted upon it.
g What inductance is needed in series with a 4.7-μF capacitor so the circuit will oscillate at a frequency of 10 kHz?
To determine the required inductance, we can use the formula for the resonant frequency of an LC circuit:
f = 1 / (2π√(LC))
where f is the desired frequency (10 kHz), C is the capacitance (4.7 μF), and L is the unknown inductance. Solving for L, we get:
L = 1 / (4π^2f^2C)
Plugging in the given values, we get:
L = 1 / (4π^2 × 10,000^2 × 4.7 × 10^-6) ≈ 7.23 mH
Therefore, an inductance of approximately 7.23 mH is needed in series with the 4.7-μF capacitor for the circuit to oscillate at a frequency of 10 kHz.
To find the inductance needed in series with a 4.7-μF capacitor for the circuit to oscillate at a frequency of 10 kHz, you can use the formula for resonant frequency in an LC circuit:
f = 1 / (2 * π * √(L * C))
where f is the frequency, L is the inductance, and C is the capacitance. Rearrange the formula to solve for L:
L = 1 / (4 * π^2 * f^2 * C)
Substitute the given values:
L = 1 / (4 * π^2 * (10,000 Hz)^2 * 4.7 * 10^-6 F)
L ≈ 1.131 * 10^-3 H
So, the inductance needed is approximately 1.131 mH.
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5.24 While standing in a low tunnel, you raise your arms and push against the ceiling with a force of 100 N. You mass is 70 kg. A what force does the ceiling exert on you?A 10 NB 100 NC 690 ND 790 NE 980 NB What force does the floor exert on you?A 10 NB 100 NC 690 ND 790 NE 980 N
While standing in a low tunnel, you raise your arms and push against the ceiling with a force of 100 N and mass is 70 kg.
Hence, the correct option is C.
When you push against the ceiling with a force of 100 N, the ceiling exerts an equal and opposite force on you (Newton's third law). This means that the ceiling exerts a force of 100 N on you downwards.
The force that the ceiling exerts on you is also known as the normal force (N) because it is perpendicular to the surface (ceiling) on which you are applying the force.
To calculate the force that the floor exerts on you, we need to consider the forces acting on you in the vertical direction. There are two forces your weight (due to gravity) and the normal force from the floor. When these forces are in equilibrium, you are not accelerating in the vertical direction, i.e. you are at rest.
The weight of you is given by
W = mg
Where W is the weight, m is the mass, and g is the acceleration due to gravity (9.8 m/\(s^{2}\)).
W = (70 kg)(9.8 m/\(s^{2}\)) = 686 N
W = 686 N
Since you are at rest, the forces in the vertical direction must balance each other out. Therefore, the normal force from the floor must be equal to your weight.
Normal force from floor = W = 686 N
Therefore, the force that the floor exerts on you is 686 N.
Hence, the correct option is C.
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X Incorrect; Try Again; 3 attempts remaining Part 8 What is the capactance? Express your answer in farads.
Capacitance is a property of a capacitor and represents its ability to store electrical charge. It is denoted by the symbol C and is measured in farads (F).
The capacitance of a capacitor is determined by its physical characteristics, such as the size, shape, and materials used. It can be calculated using the equation:
C = Q / V
C = capacitance in farads,
Q = charge stored in the capacitor in coulombs,
V = voltage across the capacitor in volts.
In practical terms, capacitance describes the amount of charge that a capacitor can store per unit voltage. A capacitor with a higher capacitance can store more charge for a given voltage, while a capacitor with a lower capacitance can store less charge.
The farad (F) is a relatively large unit of capacitance, and in many cases, capacitors are commonly measured in smaller units such as microfarads (μF), nanofarads (nF), or picofarads (pF), which are equivalent to 10⁻⁶ F, 10⁻⁹ F, and 10⁻¹² F, respectively.
Thus, a capacitor's capacitance reflects its capacity to hold an electrical charge. It is measured in farads (F) and has the sign C.
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Complete question:
What is the capacitance?
Express your answer in farads.