The capacitance of the RC circuit can be calculated by dividing the time constant by the total resistance.
The time constant (τ) of an RC circuit is given by the product of resistance (R) and capacitance (C), τ = RC. In this case, the time constant is given as 6.27 seconds. The total resistance in the circuit is 123.9 kilohms (123.9 kΩ).
To find the capacitance, we rearrange the formula to solve for C: C = τ/R. Substituting the given values, we have C = 6.27 s / 123.9 kΩ. Simplifying the units, 123.9 kΩ can be written as 123,900 Ω. Therefore, the capacitance of the circuit is equal to 6.27 s / 123,900 Ω, expressed in farads (F).
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A set of pulleys is used to lift a bookcase. 3000 J of work was done in 60 seconds. How much power was used?
Answer:
50 Watts
Explanation:
Power = work / time = 3000J / 60 seconds
What has an ionised atom lost or gained?
Protons
Gamma Rays
Electrons
Neutrons
Answer:
Electrons
Explanation:
Ionised atoms loose and gain electrons.
hope it helps!
A 10-kg mass and a 2.0-kg mass are connected by a light string over a massless, frictionless pulley. If g = 9.8 m/s2 , what is the acceleration of the system when released
For a frictionless pulley with mass connected by a light string, the acceleration for the system when released is equal to 6.5m/s²
How is the acceleration for a frictionless pulley calculated?Using the formula a = (m₂ - m₁)g/(m₁ + m₂)
Where a = acceleration, m = mass and g = gravity
m₁ = 2kg
m₂ = 10kg
g = 9.8m/s²
Applying to the formula, a = (m₂ - m₁)g/(m₁ + m₂) to find the acceleration of a frictionless pulley when released;
a = (10 - 2)(9.8)/(2 + 10)
a = 8(9.8)/12
a = 6.5m/s²
Therefore the system's acceleration 6.5m/s²
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a question about the size of the universe
Answer: The Universe has no scale, no matter and no size it is an infinite void of never-ending wonder.
Explanation:
What is the mass of an object traveling at 30. m/s if it has 33,750 J of energy?
Answer:
\(30 \div 33750 = 0.008888\)
Which direction will thermal energy flow if you pick up a snowball with your bare hand? Thermal energy will flow from the snowball to your hand. Thermal energy will flow from your hand to the snowball. Thermal energy will not flow between your hand and the snowball.
Answer:
b. Thermal energy will flow from your hand to the snowball.
Explanation:
Answer:
B
Explanation:
what is momentum?
what is period of an oscillating body?
what is friction?
Answer:
Explanation:
Momentum is the quantity of motion of a moving body, measured as a product of its mass and velocity.
The period of an oscillating body is the smallest interval of time in which a system undergoing oscillation returns to the state it was in at a time arbitrarily chosen as the beginning of the oscillation.
Friction is a force between two surfaces that are sliding, or trying to slide, across each other. Friction always slows a moving object down. The amount of friction depends on the materials from which the two surfaces are made. The rougher the surface, the more friction is produced.
Which choice below correctly pairs a scientist with their work on atoms and elements
options=
Thompson-the plum pudding model.
Dalton-the quantum theory of the atom.
Bohr-the uncertainty of particles in an atom.
Rutherford-the atomic theory of matter.
The choice that correctly pairs a scientist with their work on atoms and elements is Thompson-the plum pudding model
Dalton's work on atoms and elements is called the atomic theory of matter. The quantum theory of the atom was proposed by Erwin Schrödinger. Bohr's work on atoms and elements is called planetary model / Bohr's atomic model. The uncertainty of particles in an atom is the work of Werner Heisenberg. Rutherford's work on atoms and elements is called Rutherford model of the atom or Rutherford atomic model.
The plum pudding model was the atomic model of J J Thomson. It was proposed in 1900. It explains the inner structure of the atom. He also discovered electrons during a cathode ray tube experiment in 1897.
Therefore, the choice that correctly pairs a scientist with their work on atoms and elements is Thompson-the plum pudding model
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A satellite weighing 5,400 kg is launched into orbit 30,000 km above sea level. The mass of Earth is 6.0 × 1024 kg and its radius is 6,400 km. The gravitational constant is 6.673 × 10–11 N•m2/kg2. What is the gravitational force of Earth on the satellite in scientific notation with two decimals.
A satellite weighing 5,400 kg is launched into orbit 30,000 km above sea level. The mass of Earth is 6.0 × 1024 kg and its radius is 6,400 km. The gravitational constant is 6.673 × 10–11 N•m2/kg2 . What is the gravitational force of Earth on the satellite in scientific notation with two decimals.
–1.6 × 103 N
–1.63 × 103 N
–2.4 × 103 N
–5.27 × 104 N
The gravitational force of Earth on the satellite, given that the satellite is launched into orbit 30000 km above sea level is 1.63×10³ N
How do I determine the gravitational force?The gravitaional force between two objects can be obtained by using the following formula:
F = GM₁M₂ / r²
Where
F is the gravitaional force G is the gravitational constant M₁ and M₂ are the masses of the objects r is the distance apartThe following data were obtained from he question:
Mass of satellite (M₁) = 5400 = 5.4×10³ KgHeight (h) = 30000 km = 30000 × 1000 = 30000000 mMass of Earth (M₂) = 6.0×10²⁴ KgRadius of Earth (R) = 6400 km = 6400 × 1000 = 6400000 mDistance apart (r) = R + h = 6400000 + 30000000 = 36400000 mGravitational constant (G) = 6.673×10¯¹¹ Nm²/Kg²Gravitational force (F) =?The gravitaional force can be obtained as shown below:
F = GM₁M₂ / r²
F = (6.673×10¯¹¹ × 5.4×10³ × 6.0×10²⁴) / (36400000)²
F = 1.63×10³ N
Thus, the gravitational force is 1.63×10³ N
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an open container holds ice of mass 0.550 kg at a temperature of -12.0 ∘c . the mass of the container can be ignored. heat is supplied to the container at the constant rate of 870 j/minute . the specific heat of ice to is 2100 j/kg⋅k and the heat of fusion for ice is 334×103j/kg. part a how much time melts passes before the ice starts to melt? view available hint(s)for part a t melts
It will take approximately 15.97 minutes (or about 16 minutes) for the ice to start melting.
The question asks how much time passes before the ice starts to melt. To find this, we need to calculate the amount of heat needed to raise the temperature of the ice from -12.0 °C to 0 °C.
The specific heat of ice is given as 2100 J/kg⋅K, which means it takes 2100 Joules of heat to raise the temperature of 1 kilogram of ice by 1 Kelvin. Since we know the mass of the ice is 0.550 kg and we want to raise its temperature by 12 K (from -12.0 °C to 0 °C), we can calculate the amount of heat required:
Q = m * c * ΔT
Q = 0.550 kg * 2100 J/kg⋅K * 12 K
Q = 13,860 J
So, it will take 13,860 Joules of heat to raise the temperature of the ice to 0 °C.
The heat supplied to the container is given as 870 J/minute. To find the time it takes for the ice to start melting, we can divide the heat required by the rate of heat supply:
t = Q / (rate of heat supply)
t = 13,860 J / 870 J/minute
t = 15.97 minutes
Therefore, it will take approximately 15.97 minutes (or about 16 minutes) for the ice to start melting.
The time that passes before the ice starts to melt is approximately 16 minutes.
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A mountaineer jumps off a ledge (with a height of 5m) to cross a crevasse with a
gap of 2m. What was the mountaineer's horizontal velocity to clear the gap? (use g=10m/s/s) (answers are in m/s) *
1
2
4
8
Answer: the correct answer is 8 please let me know if I’m wrong
Explanation:
9. A bicyclist is moving down a hill. Her position on the hill gives her 720 J of potential energy, and her
movement gives her 680 J of kinetic energy. What is her total mechanical energy?
A. 260 J
B. 1400 J
C. 2648 J
D. 2.86×105 J
The total mechanical energy of the bicyclist is 1400 J, obtained by adding her potential energy of 720 J and kinetic energy of 680 J. The correct answer is option B.
The total mechanical energy of a moving object is the sum of its kinetic energy and potential energy. Kinetic energy is defined as the energy an object has due to its motion, whereas potential energy is the energy an object has due to its position or configuration.Therefore, the total mechanical energy of the bicyclist is calculated by adding her kinetic energy and potential energy. According to the question, the bicyclist has 720 J of potential energy and 680 J of kinetic energy.Total mechanical energy = Potential energy + Kinetic energy = 720 J + 680 J = 1400 JTherefore, the total mechanical energy of the bicyclist is 1400 J. Therefore, the correct answer is option B.For more questions on mechanical energy
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A 0.149-kg baseball, initially moving at 15 m/s is brought to rest in 0.050 seconds by a baseball glove on a catcher’s hand. The magnitude of the average force exerted on the ball by the glove is
The magnitude of the average force exerted on the ball by the glove is
What is the magnitude of the average force exerted on the ball by the glove?The magnitude of the average force exerted on the ball by the glove is calculated as follows:
Force = Mass × accelerationData given:
Mass, m = 0.149 kg
Velocity, v = 15 m/s
Time, t = 0.050 seconds
However,
Acceleration = Δv / t
where;
Δv is the change in velocityt is the time takenHence;
Force = Mass × Δv / t
Force = 0.149 × (15 - 0) / 0.050
Force = 44.7 N
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if your smart in science please help me, thank u
Answer:
Air steel water
Explanation:
Joshua conducts a study on the mental health of adolescents. He suggests that it is being conducted to fill in insufficient or incomplete information. This falls in what type of knowledge gap? PRACTICAL RESEARCH
Joshua’s study of the mental health of adolescents to fill in insufficient or incomplete information falls under the theoretical knowledge gap in practical research
Practical research is an approach that provides practical solutions to current problems or issues in society. It is an empirical or experimental investigation that employs scientific techniques to discover solutions to practical problems. In practical research, the knowledge gap occurs when the researchers cannot solve or provide explanations for real-world issues, which leads to an incomplete or insufficient understanding of the topic being investigated.
Knowledge gaps can occur in various forms and for various reasons, and identifying them is essential to conduct research to fill these gaps. In the research conducted by Joshua on the mental health of adolescents, he aims to fill the knowledge gap related to adolescents’ mental health by providing a comprehensive understanding of the subject matter.
The knowledge gap here is related to incomplete or insufficient information regarding the mental health of adolescents. Therefore, this type of knowledge gap is theoretical since it relates to the knowledge that is yet to be established or known. To conclude, Joshua's study of the mental health of adolescents falls under the theoretical knowledge gap in practical research.
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Ms. Estes shows her class a video from when she worked at the space center launching rockets. She asks her students which of the following items in the video were examples of Newton's first law of motion? (1 point)
-- The rocket accelerating rapidly off the launch pad
-- The astronaut being pushed back into his seat as the rocket accelerates
-- The astronaut experiencing zero gravity in orbit
-- The booster rocket falling back into the ocean after the launch
The astronaut being pushed back into his seat as the rocket accelerates - this was the example of Newton's first law of motion.
What is Newton's first law of motion?According to Newton's First Law, a body in uniform motion or at rest will remain in that state up to and unless a net external force acts on it.
When the astronaut worked at the space center launching rockets, no force is worked on him. When the rocket accelerates, according to Newton's first law of motion, the astronaut remains in same motion, that's why, he pushed back into his seat .
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at the instant , the athlete is running with a constant speed of 2 m/s. determine the angular velocity at which the camera must turn in order to follow the motion.
In order for the camera to follow the motion of the athlete, it must rotate at an angular velocity of approximately 1.74 rad/s.
We assume that the athlete has a non-zero size, then we can estimate the radius of the athlete's body as follows. Let's say the athlete has a height of 1.8 meters and a width of 0.5 meters. Then, we can estimate the radius of the athlete's body as the average of the height and width, or:
r = (1.8 m + 0.5 m) / 2 = 1.15 m
Using this value of r, we can calculate the angular velocity of the camera as:
ω = v / r
= 2 m/s / 1.15 m
≈ 1.74 rad/s
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Solar-powered cars use energy from the Sun to work. A panel on the car absorbs light energy from the Sun, which
then generates an electric current. This electric current, in turn, allows the car to move. Which shows the correct
order of energy transformations that take place in a solar-powered car?
electrical, chemical, kinetic
electrical, kinetic, radiant
radiant, chemical, electrical
radiant, electrical, mechanical
Answer: I Believe Its radiant, electrical, mechanical!
Explanation:
Please correct me if i'm wrong!
Answer:
D) radiant, electrical, mechanical Is correct!
Explanation:
Hope this helps! :)
Help please!!!! What is the difference between the type of smog experiences by cities in the eastern United States and that found in Southern California?
Both are dangerous on their own, but as they float through the air in Southern California's sunny climate, the sun bakes them into a new molecule called ozone, better known as smog.
What is Smog?Smog development and infiltration over Los Angeles. haze and air pollution in the entire community.
Burning sulfur-containing fossil fuels, particularly coal, causes sulfurous smog, also referred to as "London smog," which is characterized by a high concentration of sulfur oxides in the atmosphere.
The two primary substances in automotive exhaust are nitrogen oxides, which are created in scorching internal combustion engines, and hydrocarbons, which are derived from gasoline.
Therefore, Both are dangerous on their own, but as they float through the air in Southern California's sunny climate, the sun bakes them into a new molecule called ozone, better known as smog.
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Two asteroids in outer space collide, and stick together. The mass of each asteroid, and the velocity of each asteroid before the impact, are known. To find the momentum of the stuck-together asteroids after the impact, what approach would be useful?.
Utilizing the momentum principle is a good strategy since there are no outside forces acting on system, its total linear momentum is constant, and the total beginning and final momentum of the system are equal.
What does momentum mean in the real world?The amount that motion is referred to as momentum. Since an object possesses speed if it is moving and has mass, amount is measurable in this situation. An object doesn't have momentum if it isn't moving. Nevertheless, despite its significance in everyday life, many people remained unaware of it.
What use does momentum serve?Momentum is a vectors quantity since it has both size and direction. Since inertia has a direction, it is used to forecast the direction and rate of motion of objects after a collision. Below is a one-dimensional description of the fundamental characteristics of momentum.
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A force of 16 lb is required to hold a spring stretched 4 inches beyond its natural length. How much work is done in stretching it from its natural length to 10 inches beyond its natural length?
The work done in stretching the spring from its natural length to 10 inches beyond its natural length is 112 lb·in.
The work done in stretching a spring is given by the formula:
\(\[ W = \frac{1}{2} k (x_f^2 - x_i^2) \]\)
In this case, the spring is stretched 4 inches beyond its natural length, so the initial displacement is 4 inches. The force required to hold the spring at this displacement is 16 lb. We can use Hooke's Law to find the spring constant:
\(\[ k = \frac{F}{x_i} = \frac{16 \, \text{lb}}{4 \, \text{in}} = 4 \, \text{lb/in} \]\)
Now, we can calculate the work done in stretching the spring to 10 inches beyond its natural length:
\(\[ W = \frac{1}{2} (4 \, \text{lb/in}) \left( (10 \, \text{in})^2 - (4 \, \text{in})^2 \right) = 112 \, \text{lb·in} \]\)
Therefore, the work done in stretching the spring is 112 lb·in.
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What happens when two sound waves meet in destructive interference?
sorry i did not mean to answer
The steepest street in the world is Baldwin Street in Dunedin, NZ. It is inclined at an angle of 380 , with the horizontal. A child slides down the street with a constant velocity on a sled with high friction runners. What is the coefficient of friction between the sled runners and the street?
Newton's second law allows to find the result for the friction coefficient of the street is:
The friction coeficinwete is: μ = 0.78
Newton's second law establishes a relationship between the net force, the mass and the acceleration of the body.
∑ F = m a
Where bold indicates vectors, m is to mass and acceleration.
In the attached we see a free body diagram, it is a diagram of the forces without the details of the body, the x-axis is parallel to plane also shown with the positive in the direction of movement, going down the plane and the y-axis perpendicular to the plane.
Let's use trigonometry to break down the weight.
Sin θ = \(\frac{W_x}{W}\)
cos θ = \(\frac{W_y}{W}\) / W
Wₓ = W sin θ
\(W_y\) = W cos θ
We write Newton's second law for each axis.
y-axis
N- \(W_y\) = 0
N = mg cos θ
x-axis
Wₓ - fr = ma
Since they indicate that the body goes down at a constant speed, the acceleration is zero.
W sin θ = fr
The friction force is the macroscopic representation of the interactions between the two surfaces and the formula.
fr = μ N
we substitute.
fr = μ mg cos θ
mg sin θ = μ cos θ
μ = tan θ
Let's calculate.
μ = tan 38.0
μ = 0.78
In conclusion using Newton's second law we can find the results for the friction coefficient of the street is:
The frivtion coefficient is: μ = 0.78
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6.A truck drives to a rock quarry at a speed of 20 m/s. The truck takes on a load of
rocks, which doubles its mass, and leaves at the same speed of 20 m/s. Compare the
kinetic energy of the truck as it left the quarry with its kinetic energy on the way to the
quarry. Explain your answer.
Explanation:
The kinetic energy is basically the energy possesses by virtue of a body's motion
1. The truck moving to the quarry
let the mass be x
and the velocity is given as 20m/s
we know that the kinetic energy is given as
KE=1/2mv^2
KE=1/2(x)*20^2
KE=1/2(x)400
KE=200x
2. The truck leaving to the quarry
let the mass be 2x
and the velocity is given as 20m/s
we know that the kinetic energy is given as
KE=1/2mv^2
KE=1/2(2x)*20^2
KE=1/2(2x)400
KE=400x
From the analysis the kinetic energy is a function of mass, doubling the mass doubles the kinetic energy
The S.I. unit of E is NC^-1 and that of B is NA^-1 m^-1, then unit of E/B is
The S.I. unit of E is NC^-1 and that of B is NA^-1 m^-1, then unit of E/B is A m/C (ampere meter per coulomb). This unit represents the ratio between the electric field and the magnetic field, indicating the strength and direction of the electromagnetic field.
The SI unit of electric field (E) is NC^(-1) (newton per coulomb) and the SI unit of magnetic field (B) is NA^(-1) m^(-1) (tesla). To determine the unit of E/B, we need to divide the unit of E by the unit of B.
Dividing the unit of E (NC^(-1)) by the unit of B (NA^(-1) m^(-1)), we can simplify the expression:
E/B = (NC^(-1))/(NA^(-1) m^(-1))
To simplify this expression, we can cancel out the common units in the numerator and denominator:
E/B = (N/C)/(N/(A m))
Now, let's simplify further by dividing the numerator and denominator:
E/B = (N/C) * (A m/N)
Canceling out the common units:
E/B = (A m)/(C)
Therefore, the unit of E/B is A m/C (ampere meter per coulomb).
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A car of mass m1 traveling north at a speed of v1 collides with a car of mass m2
traveling east at a speed of v2. They lock together after the collision.
> Part A: Determine expression for the distance the cars will move until they stop if the coefficient of kinetic friction μk between the cars' tires and the road is about the same for both cars. (Express your answer in terms of the variables m1, m2, v1, v2, μk and appropriate constants.)
> Part B: Determine expression for the direction of the cars' movement after the collision. Zero angle direction is due east. (Express your answer in terms of the variables m1, m2, v1 , v2)
Answer:
Explanation: Part A:
The initial momentum of the two-car system is:
p = m1v1 + m2v2
After the collision, the two cars will be stuck together and move as one. The final momentum of the system is:
p' = (m1 + m2) v'
where v' is the final velocity of the two-car system. Since momentum is conserved, we have:
p = p'
Therefore,
m1v1 + m2v2 = (m1 + m2) v'
The force of friction opposing the motion of the car is:
Ff = μk N
where N is the normal force, which is equal to the weight of the cars:
N = (m1 + m2) g
The force of friction causes the two-car system to decelerate until it comes to a stop. The deceleration is given by:
a = Ff / (m1 + m2)
Substituting the expression for Ff, we get:
a = μk g
The distance the cars will move until they stop is given by:
d = v'² / (2a)
Substituting the expression for v' and a, we get:
d = (m1v1 + m2v2)² / (2μk g (m1 + m2)²)
Therefore, the expression for the distance the cars will move until they stop is:
d = (m1v1 + m2v2)² / (2μk g (m1 + m2)²)
Part B:
Since the two cars lock together and move as one after the collision, the direction of their movement will be determined by the vector sum of their initial velocities. To find the direction of the cars' movement after the collision, we can use the law of conservation of momentum in the x and y directions separately.
In the x-direction, the initial momentum is:
p_x = m1v1 + m2v2
After the collision, the two cars will move in the x-direction only, so the final momentum in the x-direction is:
p'_x = (m1 + m2) v'_x
where v'_x is the final velocity in the x-direction.
Since momentum is conserved in the x-direction, we have:
p_x = p'_x
Substituting the expressions for p_x and p'_x, we get:
m1v1 + m2v2 = (m1 + m2) v'_x
Therefore,
v'_x = (m1v1 + m2v2) / (m1 + m2)
In the y-direction, the initial momentum is:
p_y = 0 + 0 = 0
After the collision, the two cars will move in the y-direction only, so the final momentum in the y-direction is:
p'_y = (m1 + m2) v'_y
where v'_y is the final velocity in the y-direction.
Since momentum is conserved in the y-direction, we have:
p_y = p'_y
Substituting the expressions for p_y and p'_y, we get:
0 = (m1 + m2) v'_y
Therefore,
v'_y = 0
This means that the two cars will move in the x-direction only, and the direction of their movement after the collision is given by:
θ = tan⁻¹(v2/v1)
Calculate the capacitance of a system that stores 9.4 x 10-10 C of charge at
Q
50.0 V. Use C=
AV
O A. 1.9 x 10-11 F
OB. 4.7 x 10-8 F
O C. 5.3 x 1010 F
O D. 2.1 x 107 F
Answer:
A. \(1.88\times 10^{-11}\,F\).
Explanation:
By definition of Electric Capacitance, the capacitance of the system (\(C\)), in farads, is described by the following formula:
\(C = \frac{q}{V}\) (1)
Where:
\(q\) - Electric charge, in coulombs.
\(V\) - Voltage, in volts.
If we know that \(q = 9.4\times 10^{-10}\,C\) and \(V = 50\,V\), then the capacitance of the system is:
\(C = \frac{9.4\times 10^{-10}\,C}{50\,V}\)
\(C = 1.88\times 10^{-11}\,F\)
The correct answer is A.
u r a legend if u get this right
Answer:
A is Spring
B is Winter
C is Fall
D is Summer
Explanation:
marks
An object can travel a distance of 20 meters at the same time that it has a displacement of zero.
A. True
B. False
Answer:
Yes
Explanation:
Yes, displacement can be zero even if the distance is not zero. For example, when a body is thrown vertically upwards from a point A on the ground, after some time it comes back to the same point A.
A copper wire that is 1 mm thick and 30 cm long is connected to a 1 V battery.
(The resistivity of copper is 1.69 x 10-8 Ω⋅m.) Find the current in the wire in [A] assuming it's at room temperature. What is the power in [W] dissipated in the wire at room temperature?
Answer:
154.83 W
Explanation:
Applyying,
P = V²/R..................... Equation 1
Where P = power dissipated, V = voltage R = resistance
But,
R = Lρ/A................. Equation 2
Where L = length of the wire, A = crosssectional area, ρ = resistivity of the wire.
Substitute equation 2 into equation 1
P = V²/(Lρ/A)
P = AV²/Lρ........................ Equation 3
From the question,
Given: L = 30 cm = 0.3 m, ρ = 1.69 x 10⁻⁸Ω⋅m, V = 1 V.
But,
A = πd²/4, Where d = 1 mm
A = (3.14×0.001²/4) = 7.85×10⁻⁷ m²
Substitute these values into equation 3
P = (7.85×10⁻⁷×1²)/(0.3×1.69 x 10⁻⁸)
P = 154.83 W