a stone is dropped from the edge of a roof, and hits the ground with a velocity of -125 feet per second. how high (in feet) is the roof?

Answers

Answer 1

Answer:  the acceleration of an object due to earth's gravity is 32 ft/sec2

Explanation:

y = h - gt2/2 = 0; h = gt2/2; v(t) = dy/dt = - gt; t = - v(t)/g; h = g/2·v2(t)/g2 = v2(t)/(2g) = 1252ft2/s2/(2·32ft/s2) =

244.14 ft


Related Questions

what is the capacitance of a parallel plate capacitor having plates of area 1.50 m2 that are separated by 0.0108 mm?

Answers

The capacitance of a parallel space capacitor having plates of area 1.50 m2 that are separated by 0.0108 mm is 12.2972 F.

On an empty capacitor, there is no dielectric so 8.854 x 10-12

C=EA/(d)

where,

C is capacitance, A is area, d is distance between the parallel plate and E is dielectric constant.

Substituting the values in the formula,

C=(8.854 x 10-12)(1.50 m2)/ (0.0108)

C= 12.2972 X 10-10 F

Capacitance is the ability of a dielectric to hold or store an electric charge.

Dielectric constant is a  factor that indicates the ability of an insulator to concentrate electric flux, also known as relative permittivity.

Dielectric strength is the ability of a dielectric to withstand a potential difference without internal arcing

Dielectric absorption is the ability of a capacitor to discharge completely to zero. This is sometimes called battery action or capacitor memory.

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four small spheres each have a positive charge q and are at the corners of a square with sides of length l. how much work must be done to bring a fifth sphere with positive charge q from a very long distance away to the center of the square? responses

Answers

To move a fifth ball with a positive ions, q, from a good distance out to the exact same spot, 50.92 x 109 x Qq/a J. of work must be done.

What is a nuclei' charge?

Protons are found in the nucleus and have a positive electrical charge that is equivalent to the electron's negatively charged. Neutrons, which do have essentially a same mass and yet no charge, may also be present in the nucleus.

energy = k Q / r, where k = 9 x 109 and Q is a charge positioned at a length of r from the site of measurement.

Distance of corner of square to centre = √ 2 a / 2 = a / √2 = .707 a

potential due to one charge

= k x Q / .707 a

= 9 x 10⁹ x Q / .707a

= 12.73 x 10⁹ Q/a

Potential due to 4  charges

= 4 x 12.73 x 10⁹ Q/a

= 50.92 x 10⁹ Q/a .

Potential at infinity = 0

Work done in carrying charge q from infinity to centre of square

= potential difference x charge

= ( 50.92 x 10⁹ Q/a - 0 ) x q

= 50.92 x 10⁹ x Qq / a  J .

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Which resources is both renewable and inexpensive?
a. sunlight
b. cold
c. gold
d. mineral

Answers

Among the given following options, the resource which is both renewable and inexpensive is sunlight.

Inexpensive means that which does not cost a lot of money and is cheaply available for all of us.

A renewable energy resource is obtained from a natural source that are constantly renew themselves. Most of the renewable energy resources are sustainable. It is frequently called clean energy. Some major types of renewable energies are solar energy, wind energy, geothermal energy, hydropower, bioenergy, etc.

Gold and minerals are not inexpensive in nature as they take years and years for their formation.

Cold is not a renewable source as it is not always available in all the seasons in the world.

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Aume that two pherical tar of ma and form a binary tar ytem by
circling around their common center of ma. The ditance between the center of the tar i. A) What i the period of rotation for thi ytem?
b) What i the peed of tar A with repect to the common center of ma?
c) What would be the magnitude of the gravitational force a mall ma m feel if it i placed at the common center of ma of the tar?

Answers

Two spherical stars of mass mA​ and mB​ form a binary star system by circling around their common center of mass.

What is the perfect definition of mass?

mass. [ măs ] A measure of the amount of matter contained in or constituting a physical body. In classical mechanics, the mass of an object is related to the force required to accelerate it and hence is related to its inertia, and is essential to Newton's laws of motion.

What is mass and volume?

A Volume is the amount of space a three-dimensional object occupies and it is measured in cubic units. Two examples of cubic units are cm3 or in3. Mass on the other hand is a measure of how much matter is in an object.

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A student throws a 140 g snowball at 8.5 m/s at the side of the schoolhouse, where it hits and sticks.What is the magnitude of the average force on the wall if the duration of the collision is 0.19 s ?
Express your answer to two significant figures and include the appropriate units.
A student throws a 140 g snowball at 8.5 m/s at the side of the schoolhouse, where it hits and sticks.

Answers

The magnitude of the average force on the wall is 2026 N to two significant figures.

What is average force?

Average force is the average of all the forces applied over a period of time. It is calculated by dividing the total force by the number of forces applied. For example, if you applied 10 forces over 10 seconds, the average force would be the sum of those 10 forces divided by 10. The average force is a measure of the average net force on an object over a given period of time and can be used to measure the rate of acceleration of an object. Average force can also be used in kinematics to calculate the velocity of an object over time.

The magnitude of the average force on the wall can be calculated using the equation: Force = (mass x velocity) / time, which can be rearranged to calculate Force = (mass x velocity) x time.
In this case, the mass of the snowball is 140 g, the velocity is 8.5 m/s, and the time of the collision is 0.19 s. Plugging these values into the equation gives us an average force of 2026.3 Newtons.
Therefore, the magnitude of the average force on the wall is 2026 N to two significant figures.


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How many moles are in 6.02 x10^24 atoms of carbon

Answers

Answer: 10

Explanation:

A car travels around a turn of radius 75 m on a road. it is snowing and icy outside. the coefficient of friction between tires and road is 0.60, what is the maximum speed the car can travel without slipping?

Answers

On a road, an automobile moves around a turn with a 75 m radius. The weather is freezing and snowy. the correlation Therefore, the car's top speed without slipping is roughly 6.8 m/s.

How politely would you say "approximately"?

The most professional way to say "not precisely" is "roughly," although "about" is more frequently used in everyday English. An average coffee costs $3. What will the price be, more or less? He makes about $30,000 each year.

Calculation

To find the maximum speed the car can travel without slipping, you can use the formula:

v = sqrt(μ * g * r)

where v is the maximum velocity, μ is the coefficient of friction, g is the acceleration due to gravity (9.8 m/s^2), and r is the radius of the turn.

Plugging in the given values, you get:

v = sqrt(0.60 * 9.8 m/s^2 * 75 m) = sqrt(45.9 m^2/s^2) = 6.8 m/s

So the maximum speed the car can travel without slipping is approximately 6.8 m/s.

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A person tries to heat up her bath water by adding 5.0 L of water at 95 C to 60 L of water at 20 C. What is the final temperature of the bath water

Answers

The final temperature of the bath water is 25.77 C.

What is temperature?

Temperature is a measure of the average kinetic energy of the particles in a substance. It is measured in degrees on the Celsius, Fahrenheit and Kelvin scales. Temperature is an important physical quantity that is used to describe a wide range of phenomena in science, engineering and everyday life. Temperature influences everything from the rate of chemical reactions to the growth of living organisms. Hotter objects have higher temperatures than cooler objects and when two objects of different temperatures come into contact, heat will flow from the hotter to the colder object until both reach the same temperature. This process of heat transfer is known as thermal equilibrium.

The final temperature of the bath water can be calculated using the equation:
Tfinal = (mass1*T1 + mass2*T2) / (mass1 + mass2)
where T is the temperature, mass is the mass of water.
In this case, the mass1 is 5.0 L of water (5.0 kg) at 95 C, and the mass2 is 60 L of water (60 kg) at 20 C. So the equation becomes:
Tfinal = (5.0 kg*95 C + 60 kg*20 C) / (5.0 kg + 60 kg)
Tfinal = (475 kg*C + 1200 kg*C) / (65 kg)
Tfinal = (1675 kg*C) / (65 kg)
Tfinal = 25.77 C
Therefore, the final temperature of the bath water is 25.77 C.

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The electric potential at a point that is halfway between two identical charged particles is 300 V. What is the potential at a point that is 25% of the way from one particle to the other?Ans: 400V

Answers

The electric potential at a point that is 25% of the way from one particle to the other is 400 V

What does "electric potential" mean?

Electric potential is the effort required to transport a single charge from one point to another in the presence of an electric field. Earth is typically chosen as the reference point, but any location outside the range of a electric field charges may be used. potential electricity.

A position halfway among identical charged particles has an electric potential of 300 V.

Potential V= 300 V

Assume the distance between the charge is 2r.

The potential at mid point

Using formula of potential

V =K q / r

At mid point

V = V' + V"

V = K *q / r + K *q / r

2 Kq / r = 300

If a potential at a place is 25% of the distance between two particles

We must determine the separation between the charges.

d = 2r × 25 / 100

d = r / 2

We need to calculate the new potential

Using formula of potential again

V = V' + V"

V = K q / r/2 + K q / 3r/2

V = 2K q / r (1 + 1/3 )

On Putting the value of (2Kq / r)

V = 300 * (1 + 1/3 )

V = 400 V

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Various amounts of positive and negative charge are moved from one point to another. Assuming that the potential at each of the points is kept constant at its labeled value, determine the net change in the electric potential energy of each listed quantity of charge as it is moved along the path indicated

Answers

Alter in vitality = Last Electrical Potential Vitality - Starting Electrical Potential Energy

                     = Charge x (Potential of Last Area - Potential of beginning location)

What is potential energy?

Potential vitality, put away vitality that depends upon the relative position of different parts of a framework. A spring has more potential vitality when it is compressed or extended.

So, Accordingly

+1C moved from A to B: 1(5-0) = 5J

+2C moved from D to C: 2(8-10) = -4J

+1C moved from E to G: 1(-3-7) = -10J

+3C moved from B to F: 3(5-5) = 0J

+2C moved from C to A to E: 2(7-8) = -1 J

-1C moved from B to C: -1(8-5) = -3J

-2C moved from G to A: -2(0-(-3)) = -6J

-4C moved from E to F: -4(5-7) = 8J

-3C moved from A to G: -3(-3-0) = 9 J

-1C moved from B to G to F: -1(5-5) = 0J

Alter in vitality = Last Electrical Potential Vitality - Starting Electrical Potential Energy

                     = Charge x (Potential of Last Area - Potential of beginning location)

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an astronaut in a space capsule under zero-gravity conditions holds two identical boxes, one filled with feathers, and another filled with bricks. how can they tell the boxes apart (without opening either box)?

Answers

This will be the box with sand inside if you attempt to push both boxes away from you and you face problems doing so because it has greater mass and inertia than the box with feathers.

What is a simple definition of inertia?

A feature of matter wherein, absent an external force, it stays at rest or moves uniformly in the same direction.

Why does inertia happen?

The law of inertia, also called as the Newton's first law, is a physics postulate that states that a body at rest or moving in a straight line and at constant speed will remain to do so unless it is acted with by a force.

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A longitudinal wave ha a compreion to compreion ditance of 10 m it take the wave of 5 to pa a point what i the wavelength of the longitudinal wave

Answers

The longitudinal wave has a 2 m per second wavelength if it covers a distance of 10 m.

How can you determine a longitudinal wave's wavelength?

By calculating the distance between two identical locations on adjacent waves, the wavelength is always found. When determining the wavelength of the a longitudinal wave, the distance from one compression to another or from one rarefaction to a next is measured.

What does wavelength mean?

A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places subsequent crests in the consecutive cycles. This length is typically defined in wireless systems in meters m, centimeters cm, or millimeters mm.

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Using the scenario from question 1, if the spring constant was increased to 300 N/m and the same weight was added to the spring, which of the following is true about the spring’s displacement? a) The new spring will have a displacement greater than 3m. b) The new spring will hace a displacement of 3m. c) The new spring will have a displacement 2 times the original. d) The new spring will have a displacement less than 3m.

Answers

The only true statement about the displacement of the spring is, the new spring will have a displacement less than 3m.

option D is the correct answer.

What is the extension of the spring?

The extension of the spring is calculated by applying the formula for Hooke's law as shown below.

Mathematically, the formula for Hooke's law is given as;

F = kx

where;

F is the applied forcex is the extension of the spring

At a given applied force and spring constant, the extension of the spring is calculated as;

x = F / k

when the applied force, F, or weight is kept constant, and the spring constant, k, is increased by 300 N/m, the new extension of the spring will decrease since the extension and spring constant are inversely proportional to each other.

If the initial displacement of the spring is 3 m, then the new spring will have a new displacement less than 3 m.

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A highway curves to the left with radius of curvature of 44 m and is banked at 16 ◦ so that cars can take this curve at higher speeds. Consider a car of mass 1563 kg whose tires have a static friction coefficient 0.72 against the pavement. How fast can the car take this curve without skidding to the outside of the curve?

Answers

The car can take this curve without skidding to the outside of the curve with a speed of 23.47 m/s.

Given that,

Radius of the track r = 44 m

Inclination θ = 16°

Mass of car m = 1563 kg

Coefficient of kinetic friction μ = 0.72

By analysing the free body diagram, we get,

N cos θ - fr - m g = 0  ----(1)

where, N is normal reaction

fr is friction

N cos θ + fr cos θ = mv²/r  ----(2)

fr = μ N ----(3)

From (1), (2) and (3) we get maximum velocity without skidding as,

v = √(g r ) × √( tanθ +μ )/(1 - μ tanθ) = √(9.8× 44 ) ×√( tan 16°+ 0.72)/(1 - 0.72 tan 16°) = 20.77 × √1.007/0.79 = 20.77 × 1.13 = 23.47 m/s

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ben starts waling at 2 mi/h. after an hour and a half amanda begins jogging at 6 mi/h. how long until amanda catches ben

Answers

Amanda would need to catch up to Ben in 6/10 hours, or 0.6 hours.

What is distance?

Use the distance equation d = st, which reads distance equals speed times time, to find the distance. Given that both rate and speed denote a specific amount of travel per unit of time, such as miles per hour or kilometers per hour, they are comparable. R = s = d/t indicates that rate r is equal to speed s.

At 7 miles per hour, Amanda starts jogging down the same path.

Thus, following t hours, Amanda's position is determined by:

A(t) = 7t

Ben begins moving at a 2mph pace along a path.

Ben will be at position 2×1.5 = 3 when Amanda departs in an hour and a half. Ben's position therefore after t hours is as follows:

B(t) = 3+2t

A(t) = B(t)

7t = 3+2t

5t = 3

t = 3/5

t = 0.6hrs

So, Amanda will catch up Ben after 0.6 hours.

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Complete question " Ben starts walking along a path at 2 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 7 mi/h. How long (in hours) will it be before Amanda catches up to Ben?".

much like the variations in obliquity that the earth experiences, the moon, too experiences a periodic wobble as it orbits the earth. this wobble is called

Answers

The Earth tilts on its axis, resembling a slow-moving spinning top. The gravitational force of the Moon and Sun on Earth is what is known as "precession," and it is what causes this phenomenon.

What creates the attraction of gravity?

Spacetime actually bends and curves around all mass-bearing things, including our planet, and this is what causes gravity to pull you toward the ground. That curvature is what you perceive as gravity.

The gravitational pull is where?

All items on Earth are drawn "downward" by gravity toward the planet's core. The gravitational attraction between two bodies is stronger when they are closer and heavier, according to Sir Isaac Newton's Universal Law of Gravitation.

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A tennis ball with a speed of 28 m/s is mov-
ing perpendicular to a wall. After striking
the wall, the ball rebounds in the opposite
direction with a speed of 19.516 m/s.
If the ball is in contact with the wall for
0.0101 s, what is the average acceleration of
the ball while it is in contact with the wall?
Take “toward the wall” to be the positive
direction.

Answers

the  Average acceleration of the ball is 4704.6 m/s² away from the wall.

What is acceleration?

Acceleration is the rate of change of velocity.

To calculate the acceleration of the ball, we use the formula below

Formula:

a = (v-u)/t................. Equation 1

Where:

a = Accelerationv = Final velocityu = Initia; velocityt = Time

From the question,

Given:

v = -19.516 m/s (Rebounds)u = 28 m/st = 0.0101 s

Substitute these values into equation 1

a = (-19.516-28)/0.0101a = 4704.6 m/s² aways from the wall

Hence, the  acceleration of the ball is 4704.6 m/s².

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a wheel 31 cm in diameter accelerates uniformly from 235 rpm to 370 rpm how far will a point on the edge of the wheel have traveled in this

Answers

The point on the edge of the wheel will have traveled approximately 1.09 meters.

To find the distance traveled, we first need to find the total angle the wheel has rotated through. We can do this by finding the difference in the final and initial angular velocities (370 rpm - 235 rpm = 135 rpm) and multiplying that by the time it took for the acceleration to occur.

Next, we need to find the distance traveled by the point on the edge of the wheel. We can do this by multiplying the total angle rotated by the radius of the wheel (31 cm). So, (135 rpm * (1 min/60 sec)) * (31 cm) = 1.09 meters.

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What is the wavelength λ of the photon that has been released in Part B? ΔE = −2.04×10−18 J The energy of the photon emitted by the electron is related to its wavelength by E=hcλ where λ is the wavelength in meters, 6.626×10−34 J⋅s is Planck's constant, and 3.00×108 m/s is the speed of light in a vacuum.

Answers

The speed of light in a vacuum is λ = (2.04×10−18 J)/(6.626×10−34 J⋅s * 3.00×108 m/s) = 7.839×10−7 m.

What is the light ?

Light is a form of energy that is visible to the human eye. It is a phenomenon of physics that is essential to all life on Earth. Light is a form of electromagnetic radiation that is made up of different wavelengths. Different colors correspond to different wavelengths. Sunlight is the main source of light. Artificial light is also used in the form of electric lights, flashlights, and lanterns. Light has many practical applications, such as helping us see in the dark, providing energy for photosynthesis, and helping to regulate our circadian rhythms. It is also used for communication, navigation, and entertainment. Light has both physical and psychological effects on people, such as helping to lift moods and reduce stress.

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write a similar description of the particles that make up gas .​

Answers

Answer:

Explanation:  There are particles 3 particles to make a gas

those are following :

1. Solids

2.liquids

3. gases

        are made of tiny particles called atoms and molecules.

A block with a mass of 5.0 kg is pushed on a frictionless surface through a distance of 5.0 m by
applying a horizontal force of 80.0 n.
applied
force = 80.0 n
m = 5.0 kg
5.0 m
if the block starts from rest, what is its final velocity?

Answers

The final velocity of the block can be calculated by dividing the force by the mass and multiplying by the distance, which yields a final velocity of 16 m/s.

What is velocity?

Velocity is a measure of how fast an object is moving, or how fast it changes its position. It is expressed as distance per unit of time and is typically represented in m/s, km/h, or mph. Velocity is a vector quantity, meaning it has both magnitude (a numerical value) and direction. Velocity can be determined by measuring the speed of an object and the direction in which it is moving. It is important to consider velocity when calculating the motion of an object, as it can affect the final position of the object.

The final velocity of the block can be calculated using the equation of motion, which states that the change in momentum of an object is equal to the applied force multiplied by the time over which it is applied. Since the block starts from rest, its initial momentum is zero. Therefore, the final velocity of the block can be calculated by dividing the force by the mass and multiplying by the distance, which yields a final velocity of 16 m/s.

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The final velocity of the block can be calculated by dividing the force by the mass and multiplying by the distance, which yields a final velocity of 11.38 m/s.

What is velocity?

Velocity is a measure of how fast an object is moving, or how fast it changes its position. It is expressed as distance per unit of time and is typically represented in m/s, km/h, or mph. Velocity is a vector quantity, meaning it has both magnitude (a numerical value) and direction. Velocity can be determined by measuring the speed of an object and the direction in which it is moving. It is important to consider velocity when calculating the motion of an object, as it can affect the final position of the object.

Given:

The mass of the block, m = 5 kg,

The horizontal force, F = 80 N,

friction-less surface through a distance (s) = 5 m

Firstly, acceleration (a) = F/m

or, a = 80/5

or, a = 14 m/sec²

Next, we know, v² = u² + 2as

or, v² = 0 + (2 × 14 × 5)    [the block starts from rest, so u = 0]

or, v² = 140

or, v = √140

or, v = 11.38 m/sec

The final velocity of the block can be calculated using the equation of motion, which states that the change in momentum of an object is equal to the applied force multiplied by the time over which it is applied. Since the block starts from rest, its initial momentum is zero. Therefore, the final velocity of the block can be calculated by dividing the force by the mass and multiplying by the distance, which yields a final velocity of 11.38 m/s.

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(c) Identify the forces acting on your hand. (Select all that apply.) book on hand hand on book floor on hand earth on hand'

Answers

Both the force of "Hand on the book" and the force of "Earth on the book" are directed upward. The ground and the book are being drawn in toward the hand. As a result, the forces pulling on the hands are "Book on hand" and "Earth on hand."

Gravity, usually referred to as gravitation, is the unchanging force of attraction that binds everything together in physics. Being the weakest known force in nature, it has minimal effect on defining the inherent properties of everyday objects.

The force "Hand on the book" is directed upward, and the force "Earth on the book" is directed downward. The hand is being pulled toward the book and the earth.

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A unifoem olid cylinder of length l, area of cro ection A i floating in liquid of denity 3p and 2p a hown. Denity of material of cylinder i

Answers

According to the question, the material density of the cylinder is 25ρ/12.

What does density mean?

The density of a place refers to the quantity of things—which may include humans, creatures, vegetation, or objects—there are in it. Divide the number of items by the area's measurement to determine density. A country's population density is calculated by dividing its total population by its area, expressed in sq.km or miles.

the solution of question is -

ρ(cylinder)= [2ρ×2L/3+3ρ(L/4)] / L

= (4ρ / 3) + (3ρ / 4) = 25ρ / 12

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the correct question is -

A uniform solid cylinder of length l, area of cross-section A is floting in liquid of density 3ρ and 2ρ as shown. Density of material of cylinder, is

a heat engine operates in a carnot cucl4 between 80 c and 350 c it absorbs 21000 heat per cycle from a hot reservoir. the duration of each cycle is 1s what is the maximum power output of this engine how miuch heat does it expel in eeach cycle

Answers

a heat engine operates in a carnot cucl4 between 80 c and 350 c it absorbs 21000 heat per cycle from a hot reservoir.

Maximum power output of the engine = (21000 J/s) / (350-80) C) = 215.79 W.

What is engine?

An engine is a machine designed to convert one form of energy into mechanical energy. It is most commonly used to convert energy produced from burning fuel into rotational energy used to power a vehicle, machine, or device.


The amount of heat expelled in each cycle = 21000 J - (215.79 W x (350-80) C) = 20,838.21 J

The maximum power output of the Carnot cycle engine is determined by the temperature difference between the hot and cold reservoirs. The power output of the engine is equal to the amount of heat absorbed by the engine (21000 J) divided by the temperature difference (350-80 C).

The amount of heat expelled in each cycle is calculated by subtracting the power output (215.79 W x (350-80) C) from the amount of heat absorbed (21000 J).

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suppose your electric lights use 400 watts per hour and average four hours per day, every day for one year. how many kwh per year does this represent ? 400 watts

Answers

The bulb will use 584 kW per year.

An electronic bulb is a small and simple light source that uses a wire filament to glow when electricity is applied.

A light bulb consists of three key partsFiberGlass bulbBulb base

The filament, which is a coiled thin wire, is made of tungsten.

The filament is enclosed in a ball-shaped glass socket and is connected by copper and lead wires attached to the base of the lamp.

The wires and filament are enclosed in a glass bulb that is filled with an inert gas such as argon.

Thin glass is used to make the bulb, which prevents air from reaching the filament and protects it from burning.

Conversion of watts to kilo-watts

1 Watts = 0.001 kW

400 Watts = 0.4 kW

Average working of the bulb = 4 hours

Total time taken by the bulb in a year

= 4 * 365

= 1460 hours

Total power consumed in the year = 584 kWh

The bulb represents 584 kwh per year.

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A bicycle that travels twice as fast as another when braking to a stop will skid sixteen times as far. depends on the bike's mass twice as far. eight times as far four times as far.

Answers

"A bicycle that travels twice as fast as another when braking to a stop will skid four times as far."

Kinetic energy has a speed term squared in its expression.

Accordingly, doubling your speed will result in a four times increase in energy (2² = four). Your energy will increase nine times if your pace is three times faster (3² = 9).

The energy of motion is known as kinetic energy, and it can be observed in the motion of objects or subatomic particles. Kinetic energy is present in all particles and moving objects. Examples of kinetic energy in action include a person walking, a baseball soaring through the air, a piece of food falling from a table, and a charged particle in an electric field.

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Sound waves travel faster in liquids than in gases. Underwater, a 60 Hz sonar signal travels 9.6 in 400 .
Calculate the wavelength of the signal.

Answers

Answer:

Explanation:

Wavelength (λ) = Speed of Sound (v) / Frequency (f)

λ = 9.6 in/400 Hz = 0.024 in

Therefore, the wavelength of the 60 Hz sonar signal travelling underwater is 0.024 in.

Determine the impedance of the parallel RC branch. (Assume 10 volts across the branch.) The values calculated for this question may be used for additional questions. (Round the FINAL answer to two decimal places.)
E_app_ = 15 V
f = 50 Hz
series = R = 10 ohm
Br1 = X_C_ = 10 ohms
Br2 = R = 10 ohms

Answers

The impedance of the parallel RC branch is 7.07 ohms. It is denoted by the letter Z.

What is the impedance overall?

The total resistance a circuit or a section of a circuit provides to electric current is measured as electrical impedance. Resistance and reactance are both parts of impedance. The current-carrying charged particles collide with the conductor's internal architecture, creating the resistance component.

What are SI units and impedance?

Resistance and reactance combined makeupup impedance. Ohm is the SI unit for reactance (X), resistance (R), and impedance (Z). Electrical parts like capacitors and inductors offer reactance, a type of fictitious resistance. Inductive reactance, denoted by the formula XL = 2fL, is the reactance offered by the inductor.

[tex]I_C = E_C_ / X_C_[/tex]

[tex]I_C = 10 / 10[/tex]

[tex]I_C= 1 A[/tex]

[tex]I_R= E_R_ / R[/tex]

[tex]I_R_ = 10 / 10[/tex]

[tex]I_R = 1 A\\I_T = sqrt (I_R^2 + I_C^2)\\I_T_ = sqrt (1 + 1)\\I_T= 1.414 A\\Z_RC = E_RC_/ I_T\\Z_RC_ = 10 / 1.414\\Z_RC_ = 7.07 ohms[/tex]

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List explicitly all the ways to arrange 2 quanta among 4 one-dimensional oscillators.a. 1100, 1010, 1001, 0110, 0101, 0011, 1000, 0100, 0010, 0001b. 1100, 1010, 1001, 0110, 0101, 0011, 2200, 2020, 2002, 0220, 0202, 0022c. 1100, 1010, 1001, 0110, 0101, 0011, 2000, 0200, 0020, 0002d. 2000, 0200, 0020, 0002e. 1100, 1010, 1001, 0110, 0101, 001f. 1100, 1010, 1001, 0110, 0101, 0011, 2000, 0200, 0020, 0002, 2200, 2020

Answers

a. The ways to arrange 2 quanta among 4 one-dimensional oscillators are: 1100, 1010, 1001, 0110, 0101, 0011, 1000, 0100, 0010, 0001

b. The ways to arrange 2 quanta among 4 one-dimensional oscillators are: 1100, 1010, 1001, 0110, 0101, 0011, 2200, 2020, 2002, 0220, 0202, 0022

c. The ways to arrange 2 quanta among 4 one-dimensional oscillators are: 1100, 1010, 1001, 0110, 0101, 0011, 2000, 0200, 0020, 0002

d. The ways to arrange 2 quanta among 4 one-dimensional oscillators are: 2000, 0200, 0020, 0002

e. The ways to arrange 2 quanta among 4 one-dimensional oscillators are: 1100, 1010, 1001, 0110, 0101, 001

f. The ways to arrange 2 quanta among 4 one-dimensional oscillators are: 1100, 1010, 1001, 0110, 0101, 0011, 2000, 0200, 0020, 0002, 2200, 2020

Option e, there is a typo, it should be 0011 instead of 001.

What is the difference between classical and quantum oscillator?

A classical particle has a given position at a fixed time, even if we do not know this position. This is not anymore true for the quantum particle. For the quantum oscillator, the energy eigenfunctions and probability densities extend beyond the classical turning points.

What are four types of quantum?

The set of numbers used to describe the position and energy of the electron in an atom is called quantum number. There are four quantum numbers-principal, azimuthal, magnetic and spin quantum numbers.

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at what speed do a bicycle and its rider, with a combined mass of 100 kg , have the same momentum as a 1500 kg car traveling at 2.0 m/s ?

Answers

A bicycle and its rider must go at a speed of 30 m/s in order to have the same momentum as a 1500 kg car moving at 2.0 m/s with a combined mass of 100 kg since there is no directional component.

A scalar value must represent speed. Physics uses the total distance travelled and the total time required to travel that distance to calculate average speed. Speed is the pace at which an object's location changes, measured in metres per second. The amount of matter in a physical body was formerly believed to be connected to one of a body's fundamental characteristics, mass.

1500*2.0 = 100*V, or 3000/10

V = 30 m/s.

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