The volume of water in the lake can be calculated as:
Volume = length x width x depthVolume = 2 km x 8 km x 0.1 km = 1.6 km^3 = 1.6 x 10^9 m^3The mass of water can be calculated as:
Mass = density x volume = 1000 kg/m^3 x 1.6 x 10^9 m^3 = 1.6 x 10^12 kgUsing the values for mass, acceleration due to gravity, and vertical distance, we get:
Potential energy = 1.6 x 10^12 kg x 9.8 m/s^2 x 500 m Potential energy = 7.84 x 10^15 JThe amount of electric energy that could potentially be generated by the water in the given lake would depend on several factors, such as the efficiency of the hydroelectric power generation system and the flow rate of the water.
However, to estimate the maximum theoretical potential energy that could be extracted from the water, we can use the formula:
Potential energy = mghwhere:
m = mass of water (density of water x volume)g = acceleration due to gravity (9.8 m/s^2)h = vertical distance through which the waterfalls (500 m)Learn more about electric energy at
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A 10-kg object is near a planet's surface, where the gravitational field strength is 4 n/kg. With what force is the planet attracted to the 10-kg object?.
The force with which the planet is attracted to the 10 kg object is calculated to be 4 N.
Given that,
Mass of object = 10 kg
Gravitational field strength = 4 N/kg
Now, let us determine with what force the planet is attracted to the 10 kg object,
Mathematically, the force with respect to the gravitational field strength is given by the formula,
Force = mass × gravitational field strength
Force = 10 × 4
Force = 40 newton
We can conclude that the force with which the planet is attracted to the 10 kg object is 4 Newton.
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400 N of load can be overcome by an effort of 50 N by using a lever. Calculate the mechanical advantage of the lever.
Answer:
load (l)=400N
Effort(E)=50N
mechanical advantage (MA)= load ÷Effort
(ma)=400÷50
(ma)=8
Explanation:
I copy pasted from the answer from the same question. Remember to first check if ur question is there
How many galaxies does the Milky Way have?
The Milky Way contains hundreds of billions of stars and at least that many planets, as well as gas, dust, and dark matter. It is a spiral galaxy with a diameter of about 100,000 light-years, and it has several satellite galaxies, including the Large and Small Magellanic Clouds, and the Sagittarius Dwarf galaxy.
The Milky Way is the galaxy that our Solar System is a part of. It is a spiral galaxy, meaning that it has a flat disk-like structure with spiral arms that contain stars, gas, and dust. The galaxy is estimated to be about 100,000 light-years across and about 1,000 light-years thick.
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calculate the angular width of the second-order visible spectrum produced by a grating with 500 slits per millimeter, when white light illuminates the grating. take the range of visible spectrum from violet at 400 nm to red at 700 nm.
The angular width of the second-order visible spectrum produced by the grating is 1.3 degrees.
The angular width of the second-order visible spectrum produced by a grating can be calculated using the formula:
θ = λ/d
where θ is the angular width of the spectrum, λ is the wavelength of the light, and d is the spacing between adjacent slits on the grating.
To calculate the spacing between adjacent slits, we can use the fact that the grating has 500 slits per millimeter, or 500,000 slits per meter. Therefore, the spacing between adjacent slits is:
d = 1/(500,000) m = 2 x 10^-6 m
The range of visible spectrum from violet at 400 nm to red at 700 nm covers a wavelength range of:
Δλ = 700 nm - 400 nm = 300 nm
To find the angular width of the second-order visible spectrum, we need to find the wavelengths of light that are diffracted at an angle such that they interfere constructively at the second order. Constructive interference occurs when the path difference between light waves from adjacent slits is an integer multiple of the wavelength. For the second order, this means that the path difference is 2λ, so the condition for constructive interference is:
2d sin θ = 2λ
Rearranging this equation, we get:
sin θ = λ/d
We need to find the values of θ for which sin θ is equal to λ/d for the wavelengths of light in the range from 400 nm to 700 nm. We can use a calculator or a table of values to find the values of sin θ for each wavelength, and then use the inverse sine function to find the corresponding values of θ.
Then, we can subtract the minimum value of θ from the maximum value of θ to find the angular width of the second-order visible spectrum.
Using a calculator or a table, we can find that sin θ is equal to λ/d for the following wavelengths of light:
λ = 410 nm, sin θ = 0.041
λ = 420 nm, sin θ = 0.042
λ = 690 nm, sin θ = 0.070
λ = 700 nm, sin θ = 0.071
Using the inverse sine function, we can find the corresponding values of θ:
θ = 2.4 degrees for λ = 410 nm
θ = 2.5 degrees for λ = 420 nm
θ = 3.6 degrees for λ = 690 nm
θ = 3.7 degrees for λ = 700 nm
The angular width of the second-order visible spectrum is the difference between the maximum and minimum values of θ:
θmax - θmin = 3.7 degrees - 2.4 degrees = 1.3 degrees
Therefore, the angular width of the second-order visible spectrum produced by the grating is 1.3 degrees.
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(Figure 1) shows a collision between three balls of clay. The three hit simultaneously and stick together. Assume that m = 60 g and v = 2.9 m/s. ⬤↘ m 40 m/s, and 45°
←⬤ v 30 g
↑
⬤ 20 g and 2.0 m/s
Part A What is the speed of the resulting blob of clay? Express your answer with the appropriate units. V = ? Part B What is the movement direction of the resulting blob of clay? Express your answer in degrees below the horizontal. θ = ?
The speed of the resulting blob of clay is 20.99 m/s and the direction is 45.82⁰ below the horizontal.
Given :
Masses of balls of clay:
m₁ = 60g,
m₂ =20g,
m₃ = 30g.
Speed of balls of clay :
v₁ = 40m/s,
v₂= 2m/s,
v₃ = 2.9m/s
we can write the speed in vector form as :
υ₁ = 40( x + y)/ √2 m/s,
υ₂ = 2 y m/s,
υ₃ = 2.9 (-y) m/s, where x and y are unit vectors in perpendicular directions.
During a collision, the momentum remains conserved. Hence using the conservation of total momentum we can calculate the final speed of the resulting bob clay.
Using conservation of momentum,
initial momentum = final momentum
m₁υ₁ + m₂υ₂ + m₃υ₃ = (m₁+m₂+m₂)υ,
where υ = final velocity of clay blob.
Putting all the values in the above equation,
60 × 40( x + y)/ √2 + 20×2 y+30 ×2.9 (-y) = (60+20+30) υ
on solving the above equation, we get
υ = 14.63 x + 15.06 y
The magnitude of the final speed will be equal to √(14.63²+ 15.06²)
Final speed= 20.99 m/s.
and
Angle = tan⁻(15.06/14.63)
Angle = 45.82⁰ below the horizontal.
Therefore, the speed of the resulting blob of clay is 20.99 m/s and the direction is 45.82⁰ below the horizontal.
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a mountain climber is about to haul up a 15 m length of hanging rope. how much work w will it take if the rope weighs 2 newtons per meter?
When a mountain climber is preparing to draw up a 15 m length of hanging rope, the work required is W = 225 J if the rope weights 2 newtons per metre.
Find the force equation.
k =2 N/m.
15-x.
F(x) = kx
F(x) = 2(15-x)
interval of 0 to 15.
W = ∫₀¹⁵2(15-x) on the interval 0 to 15
W = 2(15x) - 2(x^2/2)
on the interval 0 to 15
W = 225 J
Work is the amount of energy delivered to an item by an external force when that force moves it a specific distance.
The quantity of energy delivered to an item through work is defined as work done on it.
You are conducting work on an item when you apply a force to it that causes its position to shift in the same direction as the force. The work done on an object is divided into two parts.
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What is your average resting heart rate?
Answer:
from 60 to 100.
Explanation:
Normal heart rates at rest: Children ages 6 - 15 70 – 100
Adults (age 18 and over) 60 – 100
ice crystals that form by accretion are fairly large. explain why they fall slowly.
Ice crystals that form by accretion are fairly large, they fall slowly because of there high surface area to volume ratio, which cause high air resistance.
Ice crystals that form by accretion are large and have a high surface area to volume ratio. This high surface area causes more air resistance, which slows their fall. The larger the surface area, the more air resistance there is, and the slower the crystals fall. Additionally, the shape of the crystals can also affect their fall speed, with more irregular shapes experiencing more air resistance and thus falling slower. Ice crystals are the building blocks of snowflakes and have a well-defined and ordered internal structure. The structure of an ice crystal depends on the conditions under which it forms, such as temperature and humidity. At very cold temperatures, the crystals are usually simple hexagonal structures, while more complex branching structures can form at warmer temperatures.
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A dryer runs on 240 V with a resistance of 30.0 Ω. What is the current of the dryer?
Answer:
Current, I = 8 Amps
Explanation:
Ohm's law states that at constant temperature, the current flowing in an electrical circuit is directly proportional to the voltage applied across the two points and inversely proportional to the resistance in the electrical circuit.
Mathematically, Ohm's law is given by the formula;
\( V = IR\)
Where;
V represents voltage measured in voltage.
I represents current measured in amperes.
R represents resistance measured in ohms.
Given the following data;
Resistance, R = 30 ohms
Voltage, V = 240V
To find the current;
\( I = \frac {V}{R} \)
\( I = \frac {240}{30} \)
Current, I = 8 Amps
Therefore, the current of the dryer is 8 Amperes.
Work is a _______ acting upon an object for a given ______. The amount of work done is equal to the change in ________ of the object.
Answer:
Work is a FORCE acting upon an object for a give DISTANCE. The amount of work done is equal to the change in KINETIC ENERGY of the object.
Explanation:
The answer is from the definition and equations for work:
Work = force*distance = change in kinetic energy
Answer:
energy
Explanation:
i took the quiz
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]
Who sponsored Felix Baumgartner in the second space jump that took placed in
2008?
Alban Geissler, who developed the SKYRAY carbon fiber wing with Christoph Aarns, suggested after Baumgartner's jump that the wing he used was a copy of two prototype SKYRAY wings sold to Red Bull (Baumgartner's sponsor) two years earlier. - wiki
Make the following prefix conversions.
0.001s =ms
Answer:
To convert a millisecond measurement to a second measurement, divide the time by the conversion ratio. The time in seconds is equal to the milliseconds divided by 1,000.
Explanation:
hope it helps
A physics teacher is desperate to break his students
of a physics misconception. To do this, he drops a
book from a height of 1.4 m. How fast is the book
going when it hits the ground?
If a book is drops from a height of 1.4 m, then the speed with which book hits the ground is 5.2 m/s.
Given,
Initial velocity = 0m/s
Height = h = 1.4m
Acceleration due to gravity = 9.8 m/s2.
This can be calculated by using third equation of motion,
v2 - u2 = 2gh
where,
v is the final velocity
u is the initial velocity
h is the height
and g is the acceleration due to gravity.
By substituting all the values, we get
v2 = 2 × 1.4 × 9.8
v2 = 27.44
v = 5.2 m/s
Thus, we concluded that if a book is drops
from a height of 1.4 m, then the speed with which book hits the ground is 5.2 m/s.
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How much heat is required to raise 100 grams of water (c= 4.18) by 5 degrees Celsius?
Answer:
Heat capacity, Q = 2090 Joules.
Explanation:
Given the following data;
Mass = 100 grams
Specific heat capacity = 4.18 J/g°C.
Temperature = 5°C
To find the quantity of heat required;
Heat capacity is given by the formula;
\( Q = mct\)
Where;
Q represents the heat capacity or quantity of heat.
m represents the mass of an object.
c represents the specific heat capacity of water.
t represents the temperature of an object.
Substituting into the formula, we have;
\( Q = 100*4.18*5 \)
Heat capacity, Q = 2090 Joules.
How much electrical energy is involved in this transformation? 60 j 80 j 100 j 120 j
The initial amount of electrical energy involved is 120 J
What is Electrical energy:
It is referred to as the energy that has been converted from electric potential energy.It is also derived as a result of movement of electrically charged particles.Here,
we have an initial amount of electrical energy, E.
E is converted into two forms of energy
light energy (L) heat energy (H)given light energy, L = 20 J
and the Heat energy, H = 100 J
The law of conservation of energy states that energy cannot be created nor destroyed, but only converted into other forms.
According to The law of conservation of energy:
E = L + H
substituting the values, we get
E = 20 + 100
E = 120 J
So, option D is correct.
The initial amount of electrical energy involved is 120 J
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Your question is incomplete as the figure is missing, but most probably the question was:
How much electrical energy is involved in this transformation?
60 J
80 J
100 J
120 J
We can make a simple model of the human vocal tract as an open-closed tube extending from the opening of the mouth to the diaphragm. What is the length of this tube if its fundamental frequency equals a typical speech frequency of 250 Hz? The speed of sound in the warm air is 350 m/s.
The length of the tube is: 1.4 m
What is frequency?It can be said that it is the physical quantity that measures the number of times or cycles in which a wave is repeated over time in seconds. Its unit of measurement is the Hertz (Hz).
To solve this exercise the frequency formula we will use is:
λ = v / f
Where:
f= frequencyv= wave velocityλ= wave lengthGiven info
f= 250 Hzv= 350 m/sλ = ?1 Hz = s˄ -1Applying the wavelength formula we have:
λ = 350 m/s /250 Hz
λ = 1.4 m
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calculate the energy
Answer:
8550 Joules of energy.
Explanation:
The bell is situated at the top of the tower, height = 45mWeight of the bell, F = 190 NThe workdone by the gravitational force = F.hcos180°As a result, when the body is 45 meters above the earth, gravitational force (e.g., weight) works downward. As a result, the angle formed by the force and h = 180°.Therefore the workdone by the gravitational force = 190 × 45 × -1= -8550 J
Thus, potential energy = neg of workdone= -(-8550 J) = 8550 JWhich of the following describes the correct order of energy conversions necessary to form electricity from solar panels?
Solar Heat Kinetic → Electric
Solar- Kinetic Heat → Electric
Solar 1 Heat → Electric
O Solar ->Electric
Answer:
hydrochlorine +12÷B to the power of 4 -× y reapeated zminus 2 to the power of 9
How To Find Normal Force On A Horizontal Surface?
W = Fn, hence Fn = mg for an item resting on a horizontal surface when only weight and Normal forces are acting on the object. The normal force, Fn=mgcos, is used to determine how much an object will move over a surface that is inclined at an angle of .
The object is affected perpendicularly by the normal force maintained on a horizontal surface. The object is prevented from falling by this force, which retains it in place on the surface. Give us a few methods for locating normal force on a horizontal surface. The component that an object experiences as a result of its contact with a surface is known as the normal force in physics. Due to the way it behaves, it is known as "Normal" force.
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What is the basis for the sounds referred to as korotkoff sounds?.
Answer:Korotkoff Sounds. -tapping sounds created by turbulent blood flow in arm. -pressure is slowly being released from cuff, so systolic pressure is above that of the cuff, but diastolic is still below, so the artery opens in systole and collapses in diastole.
Explanation:
Force can be calculated as
In a science museum, a 130 kg brass pendulum bob swings at the end of a 14.4 m -long wire. The pendulum is started at exactly 8:00 a.m. every morning by pulling it 1.7 m to the side and releasing it. Because of its compact shape and smooth surface, the pendulum's damping constant is only 0.010kg/s. You may want to review (Pages 405 - 407) . Part A At exactly 12:00 noon, how many oscillations will the pendulum have completed
Answer:
The time in which the pendulum does a complete revolution is called the period of the pendulum.
Remember that the period of a pendulum is written as:
T = 2*pi*√(L/g)
where:
L = length of the pendulum
pi = 3.14
g = 9.8 m/s^2
Here we know that L = 14.4m
Then the period of the pendulum will be:
T = 2*3.14*√(14.4m/9.8m/s^2) = 7.61s
So one complete oscillation takes 7.61 seconds.
We know that the pendulum starts moving at 8:00 am
We want to know 12:00 noon, which is four hours after the pendulum starts moving.
So, we want to know how many complete oscillations happen in a timelapse of 4 hours.
Each oscillation takes 7.61 seconds.
The total number of oscillations will be the quotient between the total time (4 hours) and the period.
First we need to write both of these in the same units, we know that 1 hour = 3600 seconds
then:
4 hours = 4*(3600 seconds) = 14,400 s
The total number of oscillations in that time frame is:
N = 14,400s/7.61s = 1,892.25
Rounding to the next whole number, we have:
N = 1,892
The pendulum does 1,892 oscillations between 8:00 am and 12:00 noon.
A toaster uses 1500 W of power when connected to a voltage of 120 V. What is the resistance
of the toaster?
AnswerThe current through a toaster connected to a 120-V source is 8.0 A. What power is given off by the toaster? p= 8.0 A : 120V (p=960 W Page 2 7. The resistance of an electric stove eleinent at operating temperature is 11 12.
Explanation:
hope this helps =)
Hello!!
For calculate the resistance of the toaster, we have to applicate formula:
\(\boxed{R= V^{2}/P}\)
\(\textbf{Being:}\)
\(\sqrt{}\) \(P = Potency \ power = 1500 \ W\)
\(\sqrt{}\) \(V = Voltage = 120 \ V\)
\(\sqrt{}\) \(R = Resistance = \ ?\)
\(\text{Then let's \textbf{replace it according} we information:}\)
\(R = (120 \ V)^{2} / 1500 \ W\)
\(R = 9.6 \ \varOmega\)
\(\textbf{Result:}\\\text{The power of the toaster is \textbf{9.6 Ohms}}\)
of the following, where would the weight of an object be the least? 2000 miles above earth's surface at the equator at the south pole at the north pole at the center of earth
The weight of an object would be the least at the center of the Earth. 2000 miles above earth's surface at the equator at the south pole at the north pole at the center of earth.
The weight of an object depends on the gravitational force acting on it. The gravitational force is inversely proportional to the square of the distance between the object and the center of the Earth. As the object moves farther away from the center of the Earth, the gravitational force decreases.
At the center of the Earth, the distance between the object and the center is at its minimum. Therefore, the gravitational force and consequently the weight of the object would be the least at the center of the Earth.
In contrast, as the object moves further away from the center of the Earth, such as 2000 miles above the Earth's surface, the distance between the object and the center increases, resulting in a stronger gravitational force and a greater weight.
Thus, of the options provided, the weight of an object would be the least at the center of the Earth.
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Tiny droplets of water collect in the air as water vapor becomes liquid water. This process in the water cycle is called...
Answer:Condensation
Explanation:
Answer:
Condensation
Explanation:
Condensation is the process by which water vapor in the air is changed into liquid water.
"Water vapor"
"Becomes"
"Liquid water"
The water vapor converted into liquid water, which is the process of condensation.
Hope it helped!
Have a supercalifragilisticexpialidocious day!
A vector is 14.4 m long and
points in a 133 degree
direction.
Find the y-component of the
vector.
The y-component of the vector if the vector is 14.4 m long and points in a 133 degree direction is 9.92m
A vector force is defined as a vector quantity having both magnitude and direction.
If the magnitude of a vector is 14.4m long points in a 133-degree direction, then the y-component of the vector force will be expressed as:
\(v_y = vsin \theta\)
Given the following parameters
\(v = 14.4m\\\theta = 133-90=43^0\)
Substitute the given parameters into the expression
\(v_y=14.4 sin 43^0\\v_y=9.82m\)
Hence the y-component of the vector if the vector is 14.4 m long and points in a 133 degree direction is 9.92m
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Answer:
10.5
Explanation:
The equation for the y-component is Asin(theta) so the equation for this problem would be 14.4sin(133) which equals 10.5314933. We round this equation down to 10.5 and that is your answer.
The amount of energy needed to apply a force of 1 newton over a distance of 1 meter is also called a.
Answer:
Explanation:
The amount of energy needed to apply a force of 1 newton over a distance of 1 meter is also called a joule. The joule (symbol: J) is the SI derived unit of energy. It is the energy transferred to an object when a force of one newton acts on that object in the direction of its motion through a distance of one meter. It is also the amount of energy required to heat 1 gram of water by 1 degree Celsius.
Assuming that the wave speed varies little when sound waves are traveling though a material that suddenly changes density by 10%, what percentage of the incident wave intensity is reflected?
The reflection coefficient is approximately 0.025, which means that 2.5% of the incident wave intensity is reflected.
The amount of energy that is reflected depends on the difference in acoustic impedance between the two materials. Acoustic impedance is the product of the density and the speed of sound in the material.
If the density of a material changes by 10%, then its acoustic impedance also changes by 10%. Assuming that the speed of sound does not change much at the boundary, the difference in acoustic impedance between the two materials is approximately 20%.The reflection coefficient is the ratio of the reflected intensity to the incident intensity of the sound wave. It depends on the difference in acoustic impedance between the two materials:\(R = [(Z2 - Z1)/(Z2 + Z1)]^2\)
where R is the reflection coefficient, Z1 is the acoustic impedance of the first material, and Z2 is the acoustic impedance of the second material.Since the density of the second material has changed by 10%, its acoustic impedance has changed by 10% as well. Therefore, the difference in acoustic impedance between the two materials is approximately 20%. If we assume that the speed of sound does not change much at the boundary, then the acoustic impedance of the first material remains approximately the same.Substituting the values into the formula for the reflection coefficient, we get:
\(R = [(Z2 - Z1)/(Z2 + Z1)]^2\)
\(R = [(1.1Z1 - Z1)/(1.1Z1 + Z1)]^2\)
\(R = [(0.1Z1)/(2.1Z1)]^2\)
\(R = 0.025\)
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what is diamagnetic materials, paramagnetic materials, ferromagnetic materials?
Answer:
Diamagnetic materials are those that some people generally think of as non-magnetic, and include water, wood, most organic compounds such as petroleum and some plastics, and many metals including copper, particularly the heavy ones with many core electrons, such as mercury, gold and bismuth.
Paramagnetic Materials: These are metals that are weakly attracted to magnets. They include aluminum, gold, and copper. The atoms of these substances contain electrons most of which spin in the same direction but not all.
Ferromagnetic materials are those materials which exhibit a spontaneous net magnetization at the atomic level, even in the absence of an external magnetic field. When placed in an external magnetic field, ferromagnetic materials are strongly magnetized in the direction of the field.
Explanation: