a person using a machine applies a force of 100 newton's over a distance of 10 Meters to raise a 500 n object 1.5 meters what is the work input?

Answers

Answer 1

Answer:

Work done by the machine (W) =  500 × 1.5 = 750 J

Work supplied to the machine (W) = 100 × 10 = 1000 J

              Here, work supplied to the machine is input work = 1000 J


Related Questions

Please help, I really don't know
Estimate the length of the day if the centripetal acceleration at the equator due to the spinning Earth was equal to the acceleration of free fall (g=9.8 ms⁻²)
Thanks

Answers

Final answer:

By setting the formula for centripetal acceleration equal to the acceleration due to gravity and using the known radius of the Earth, we find the speed at the equator. Using this speed to divide the Earth's equator's circumference, we estimate the length of a day to be approximately 1.41 hours or 84 minutes.

Explanation:

To estimate the length of the day if the centripetal acceleration at the equator due to the spinning Earth was equal to the acceleration of free fall (g=9.8 ms⁻²), we need to utilize known physical constants and the formula for centripetal acceleration.

The formula for centripetal acceleration is a_c = v²/r, where v is the speed, and r is the radius of the circular path. We set this equal to g (9.8 m/s²), so v²/r = 9.8 m/s2. Given the known radius of Earth R = 6.376 x 10^6 m, we can solve for the speed at the equator v.

From the speed, we can calculate the time it would take for the Earth to complete a single rotation. Since the distance the Earth covers in a day is a circular path around the Earth’s equator, this distance is equal to the Earth's circumference, which is 2πR. Dividing this by the speed gives the length of a day, which we can calculate to be 1.41 hours or approximately 84 minutes.

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What sequence shows electromagnetic waves arranged from shorter to longer wavelengths ?

A. Visible light , infrared radiation, microwaves,and ultra violet rays

B. infrared radiation, Visible light, ultra violet radiation, and microwaves

C. Microwaves, infrared radiation, Visible light , and ultra violet radiation

D. ultra violet radiation,visible light , infrared radiation, and microwaves

Answers

so from what i was looking at i think the answer is d because The shorter the wavelength, the higher measure of vitality it produces.So the request is D. Bright beams, Visible light, Infrared, and Microwaves.


How is physical change different from a chemical change?

Answers

Hello there!

Physical changes do not change what a substance is, whereas a chemical change results in a new substance being formed, so they do change what a substance is.

I hope I could help you to solve this question. Have a great rest of your day! :)

Final answer:

Physical change involves a change in the form but not in the composition of a substance, such as melting wax. Chemical change, on the other hand, results in a new type of matter, which is observed in reactions like rusting or combustion. They both might involve the emission or absorption of heat.

Explanation:

The difference between physical change and chemical change lies in the alteration of the original composition of matter. In a physical change, such as boiling or melting, the composition remains the same even though the state or form may change. For instance, when wax is heated and turns into liquid, it is a physical change because no new matter is formed.

 

On the other hand, a chemical change involves a transformation in the original matter's structure, leading to a new type of matter. This is observed in processes like rusting of iron or combustion burning. For example, when nitroglycerin explodes, it results in gases that are different from the original matter.

Moreover, chemical and physical changes may involve the release or absorption of heat. The combustion of an oxyacetylene torch is an exothermic process releasing heat, while the use of a cold pack for treating muscle strains is an endothermic process absorbing heat.

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Which layer in the atmosphere contains the most water vapor and gases? A. thermosphere B. stratosphere C. mesosphere D. troposphere

Answers

D. Troposphere

The layer of the atmosphere that is above the troposphere and in which temperature increases as altitude increases. This atmospheric layer contains the ozone layer. The layer closest to Earth, where almost all weather occurs. It contains the gases water vapor, oxygen, nitrogen, and carbon dioxide.


Troposphere layer in the atmosphere contains the most water vapor and gases. Hence, option (D) is correct.

What is atmosphere?

The atmosphere is a key component of Earth's interconnected physical systems. The layers of gases that surround a planet or other celestial body form the atmosphere.

The Earth's atmosphere is made up of 78% nitrogen, 21% oxygen, and 1% other gases. These gases are found in the atmospheric layers (troposphere, stratosphere, mesosphere, thermosphere, and exosphere), which are distinguished by distinct characteristics such as temperature and pressure.

The atmosphere shields life on Earth from incoming ultraviolet (UV) radiation, keeps the planet warm through insulation, and prevents temperature extremes between day and night. The sun heats the layers of the atmosphere, causing convection, which drives air movement and weather patterns all over the world.

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What is the DNA in the G1 stage called?

Answers

Final answer:

The DNA in the G1 phase is unreplicated chromosomal DNA, as this phase involves the cell growing and accumulating the necessary components and energy for upcoming DNA replication in the S phase.

Explanation:

Understanding the G1 Phase of Interphase

The G1 phase is the initial stage of the cell cycle and falls under interphase. It is often referred to as the "first gap" mainly because there are no significant changes visible under a microscope during this period. Despite this, the cell is not dormant; it is engaged in vital preparatory activities. During the G1 stage, the cell grows and increases in size, meticulously assembling the basic biochemical compounds needed for DNA replication.

This includes the building blocks of chromosomal DNA and the associated proteins. In addition to this, the cell is also building up sufficient energy reserves necessary to go through the upcoming phase of DNA synthesis or the S phase, where each chromosome is replicated.

The density of an object is .835 g/cm3. If its volume is 34 cm3, what is the mass of the object?

Answers

D = m/v


Given:

D: .835 g/cm3

V: 34 cm3

M: ?


M= Dxv


M= .835 g/cm3 x 34 cm3

M= 28.39 g

Answer:

28.39

Explanation:

yes I did the math to

a toy car moves around a loop-the-loop track.The loop is 0.5 high.What is the minimum speed of the car at the top of the loop for it to stay on track?

Answers

Answer:

The speed of the car at the apex of the loop must be grater than 2.45 m/s

Explanation:

In order for the car to not fall off the track at the apex of the loop, the norm force of the track at the apex must be greater than zero.

Assuming frictionless life on the track which is also to have a perfectly circular shape near the top (radius being 0.25m), the norm force of the track and gravity both point down and result in the centripetal force:

[tex]F_c=F_N+F_g[/tex]

The formula for centripetal force on a circular trajectory is

[tex]F_c = m\frac{v^2}{r}[/tex]

and so the condition for the car to stay on the track can be written as

[tex]m\frac{v^2}{r} = F_N + mg\implies F_N = m\frac{v^2}{r}-mg>0\\\implies |v| >\sqrt{gr}=\sqrt{9.8\frac{m}{s^2}0.25m}=2.45\frac{m}{s}[/tex]

The speed of the car at the apex of the loop must be grater than 2.45 m/s


The minimum speed of the car at the top of the loop for it to stay on track be 1.57 m/s.

What is centripetal acceleration?

Centripetal acceleration is a characteristic of an object's motion along a circular path. Centripetal acceleration applies to any item travelling in a circle with an acceleration vector pointing in the direction of the circle's center. In your daily existence, you must have encountered numerous instances of centripetal acceleration. A centripetal acceleration occurs when you drive in a circle, and a centripetal acceleration also occurs when a satellite orbits the earth. Centripetal refers to being in the center.

Given parameters:

Height of the loop: h = 0.5 m.

Radius of the loop be: r = h/2 = 0.25 m.

If the mass of the toy car be m, total force acting on the  top of the loop be:

F = mv²/r -mg

For the minimum speed of the car at the top of the loop for it to stay on track: F = 0

⇒  mv²/r -mg = 0

⇒ v = √(gr) = √(9.8×0.25) m/s = 1.57 m/s.

Hence, the minimum speed of the car at the top of the loop for it to stay on track be 1.57 m/s.

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In which situation is maximum work considered to be done by a force

Answers

Answer:

Work done is maximum when the movement of object is in line and direction of force.  

OR

Work done is maximum, when displacement takes place along the direction of force. Work done is given by the equation

                                W = F.S

                                W  = F. S cos Θ

When cos Θ = 0° ; cos 0 = 1

Answer:

The angle between the force and displacement is 0°.

Explanation:

Bo learns about the law of inertia.
It states that objects at rest tend to stay at rest, and objects in motion tend to stay in motion the state of motion changes only when another force acts on an object. Bo wants to use this law to predict how a soccer ball will roll on the grass after he kicks it. which statement BEST describes the motion of the ball
(Answer choices in picture)

Answers

After Bo kicks the ball originately at rest. It changes because it has been acted upon. The ball will roll because of the kick. The friction between the ball and the grass will eventually get it to stop. The answer is A.

Final answer:

According to the law of inertia, a soccer ball will continue moving in the same direction and at the same speed it was initially kicked until the frictional force from the grass causes it to stop.

Explanation:

The concept Bo is learning about, inertia, is the principle in physics that an object will maintain its motion, whether that be at rest or in movement, unless an external force causes it to change. In the context of the soccer ball, once Bo kicks it, the ball will move in the same direction and at the same speed it was initially propelled with. However, the surface it is rolling on (the grass) introduces friction, which is the force that gradually slows the ball's motion down. Overcoming this resistance requires energy. As the ball loses energy due to the friction from the grass, it will eventually come to a stop. Therefore, according to the law of inertia, the ball will continue moving until the frictional force from the grass causes it to stop moving.

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Bo learns about the law of inertia.

It states that objects at rest tend to stay at rest, and objects in motion tend to stay in motion the state of motion changes only when another force acts on an object. Bo wants to use this law to predict how a soccer ball will roll on the grass after he kicks it. which statement BEST describes the motion of the ball

(Answer choices in picture)

A person standing at the edge of a merry-go-round must hold on tightly to keep from flying off the edge as it speeds up. What name is given to the force that keeps the person moving in a circular path?

Answers

Answer:

The force in this setting is called centripetal.

Explanation:

While the centripetal force acts in the direction pointing toward the center of the curvature (in this case the center of the merry-go-around), the foce opposing it is referred to as centrifugal.

Answer:

Centripetal force

Explanation:

Astronauts often undergo special training in which they are subjected to extremely high centripetal accelerations. One device has a radius of 15 m and can accelerate a person at 98 m/s2. What is the speed of the astronaut in this device?

Answers

Answer:

 Speed of astronaut = 38.34 m/s

Explanation:

 Centripetal acceleration is given by the expression, [tex]a=\frac{v^2}{r}[/tex], where v is the velocity and r is the radius.

 Here centripetal acceleration is given, radius is given, we need to find velocity.

 Centripetal acceleration = 98 m/s²

 Radius = 15 m.

 We have,

     [tex]a=\frac{v^2}{r} \\ \\ 98=\frac{v^2}{15} \\ \\ v=38.34m/s[/tex]

Speed of astronaut = 38.34 m/s

28) Q: A: You are sitting in a car that isn't moving; suddenly, the car quickly accelerates. Your body seems to be pushed back against the seat. Which word best explains why your body seemed to be pushed backward against the seat?

Answers

the seat is moving with the car and pushing you to keep up with the car or else the seat breaks and you go flying backwards until something stops you .... ouch.

You feel pushed back against the seat, but it's the seat pushing you forward.

Answer:

Inertia.

Explanation:

The first law of Newton states that a body will remain in the same state of motion ( relative rest or uniform movement) if there is no force applied to it.

Why will the body remain in the same state of motion? This is because of inertia.

Inertia is the property of bodies that tries to keep them in a state of motion.

In the case that the car suddenly moves, your inertia tries to keep you in a relative rest to the ground, that's why your body feels like being pushed back.

which of the following is an inclined plane wrapped around a rod?
A. A Screw
B. A Lever
C. A Wheel and Axle
D. A Pulley

Answers

Alright well the Answer to your question is A). Screw

Hope this helps have a nice day : )

If u want i can explain why

Answer:

answer is screw my good fellow

Explanation:

What is used to identify elements on the periodic table?

Answers

The periodic table can be used to identify an element by looking for the element'satomic number. The atomic number of an element is the number of protonsfound within the atoms of that element. The key of a periodic table will indicate which number represents the atomic number within each elemental square.

Elements on the periodic table are identified by their atomic number (Z), which indicates the number of protons in an atom's nucleus, and by their unique chemical symbol that may derive from their English or Latin names.

Identifying Elements on the Periodic Table

The periodic table is a tabular arrangement of chemical elements, organized by their atomic number, electron configurations, and recurring chemical properties. Each element on the periodic table is represented by a unique chemical symbol, which is a one-, two-, or three-letter abbreviation of its name. The atomic number, represented by the symbol Z, defines the identity of an element by indicating the number of protons in the nucleus of an atom of that element.

For each element listed in the periodic table, you can find its atomic number above the chemical symbol. This is central to the element's identity, as no two different elements share the same number of protons. Additionally, the element's atomic mass is included in the entry, giving an indication of the relative mass of an atom of that element compared to other elements.

Historical elements with symbols based on their Latin names, such as Fe for iron (ferrum) and Pb for lead (plumbum), may seem unrelated to their English names. The periodic table also helps in identifying elements as metals, nonmetals, and organizes them into groups and periods where elements exhibit similar properties.

From a window that is 20 m from the ground a stone with a speed of 10m / s is thrown vertically upwards. Calculate:
a) the maximum height reached and the time it takes to reach it
b) the total time that is in the air

Answers

a)

consider the motion in upward direction as positive and down direction as negative

Y₀ = initial position of the stone = 20 m

v₀ = initial velocity of the stone = 10 m/s

a = acceleration = - 9.8 m/s²

Y = final position of the stone when it reach the maximum height

v = final velocity at the maximum height = 0 m/s

t = time taken to reach the maximum height

Using the equation

v² = v₀² + 2 a (Y - Y₀)

0² = 10² + 2 (- 9.8) (Y - 20)

Y = 25.1 m


also using the equation

v = v₀ + a t

inserting the values

0 = 10 + (- 9.8) t

t = 1.02 sec


b)

consider the motion in upward direction as positive and down direction as negative

Y₀ = initial position of the stone = 20 m

v₀ = initial velocity of the stone = 10 m/s

a = acceleration = - 9.8 m/s²

Y = final position of the stone when it reach the ground = 0 m

t = time taken to reach the ground

Using the equation

Y = Y₀ + v₀ t + (0.5) a t²

0 = 20 + 10 t + (0.5) (- 9.8) t²

t = 3.3 sec

Why are electric motors used in circuits?

Answers

An electric motor converts electrical energy into physical movement. Electric motors generate magnetic fields with electric current through a coil. The magnetic field then causes a force with a magnet that causes movement or spinning that runs the motor. Electric motors are used in all sorts of applications.

On a hike, you travel 2800 m in 2 h. What is your average speed?

Answers

Greetings!

Firstly, to find speed you need to remember the speed formula:

Speed = Distance ÷ Time

You can do it by doing 2800 ÷ 2 but that gives m/h (metres per hour)

So to convert hours into seconds, you multiply 2 by 7200 (amount of second in 2 hours:

2 * 7200 = 14400 seconds

Now we can do distance ÷ time by plugging the values in:

2800 ÷ 14400 = [tex]\frac{7}{36}[/tex] ≈0.194

So the average speed is 0.194m/s (metres per second) Hope this helps!

(Tennis)
Match the terms to their definition.

A ) ace
a stroke done to the right-front of the body (for right-handers), with the racket in a normal position (palm of hand facing opponent)
B ) backhand stroke
position facing the net. Used to begin most tennis strokes
C ) endurance
a tennis stroke made across the body with the back of the hand facing the direction of the stroke
D ) fault
exercising to increase stamina; mostly associated with aerobic activities and cardiovascular health
E ) flexibility
the way the game begins. Governed by a specific set of rules
F ) forehand stroke
a tennis stroke that creates a backspin on the ball
G ) let
is the absolute range of movement in a joint or series of joints and muscles
H ) rally
forward spin (usually of a moving ball) that is imparted by an upward stroke
I ) ready position
a sequence of shots within a point
J ) service
to exert force on an object using muscles
K ) slice
a service winner; the opponent cannot return the serve
L ) strength
when the service hits the net and lands in a let is played and the server gets another ball
M ) topspin
when the ball does not land in the service box

Answers

A) A service winner; the opponent cannot return the serve

B) A tennis stroke made across the body with the back of the hand facing the direction of the stroke

C) Exercising to increase stamina; mostly associated with aerobic activities and cardiovascular health

D) When the ball does not land in the service box

E) Is the absolute range of movement in a joint or series of joints and muscles

F) A stroke done to the right-front of the body (for right-handers), with the racket in a normal position (palm of hand facing opponent)

G) When the service hits the net and lands in a let is played and the server gets another ball

H) A sequence of shots within a point

I) Position facing the net. Used to begin most tennis strokes

J) The way the game begins. Governed by a specific set of rules

K) A tennis stroke that creates a backspin on the ball

L) To exert force on an object using muscles

M) A tennis stroke made across the body with the back of the hand facing the direction of the stroke

The two waves shown here are the same distance from point x and are traveling toward each other
What is the amplitude of the resulting wave when the two waves meet at point x

A). 0.0 cm
B) 1.0 cm
C) 2.0 cm
D) 4.0 cm

Answers

The Answer should be A: 0.0

Answer:

A). 0.0 cm

Explanation:

When two waves travel and meet at the same point, a phenomenon known as interference occurs.

The two extreme cases of interference are the following:

- When two waves in phase meet at the same point, the resultant wave produced by the interference has amplitude which is the sum of the amplitude of the individual waves

- When two waves in anti-phase meet at the same point, the resultant wave produced by the interference has amplitude which is the difference between the amplitudes of the individual waves

In this problem, we have two waves of amplitde A1  = 2.0 cm and A2 = 2.0 cm that meet at X in anti-phase (because they have opposite displacement): therefore, it is a destructive interference, and the resultant amplitude will be

[tex]A=A_1 -A_2 = 2.0 cm - 2.0 cm = 0.0 cm[/tex]

You are an astronaut in space far away from any gravitational field, and you throw a rock as hard as you can. The rock will: slowly slow down and stop continue at the same speed forever continue to accelerate at the rate it was when it left your hand

Answers

the answer to that question is the second option

Final answer:

Drawing from Newton's first law of motion, a rock thrown in space, distant from any significant gravitational field, would continue at the same speed in perpetuity.

Explanation:

In the context of Physics, and in particular Newton's first law of motion, the rock you throw in space, far from any gravitational field, will continue at the same speed forever. This law states that an object will remain at rest or in uniform motion in a straight line unless acted upon by an external force. In space, far from any significant gravitational field, there are essentially no external forces to slow the rock down or change its direction, so it will keep moving at the speed it had when it left your hand.

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what force is required to accelerate a 10 kg mass at 5m/sec^2

Answers

Given Data

Acceleration (a) = 5 m/s²

mass ( m) = 5 Kg

From Newtons II law, We know that

    F = m. a

    F = 10 × 5

      = 50 N

50 N force is required to accerate the mass

how much work does a 30W engine do if it operates for 40 seconds

Answers

Given that :

        Power (P) = 30 W ,

         time (t)     = 40 s,

Work = ?

                   we know that, power is defined as rate of doing work

                   Power = Work ÷ time

                  => Work = Power × time

                                 = 30 × 40

                             W   = 1200 J

the change in momentum experienced by a object is equivalent to the...

a. objects kinetic energy.
b.force acting on the object.
c. impulse acting on the object.
d. objects potential energy.
e. objects velocity.

Answers

Answer: C (impulse acting on the object)

The momentum is defined as it is the impulse acting on the force . Change in momentum is known as Impulse. Impulse is used to increase or decrease the momentum of object.                                    

From Newtons II law

              F = m. a

                = m. v/t               since a = rate of change of velocity.

             F . t = m . v

F . t is known as impulse momentum

a bowling boal has a mass of 5 kg. what happens to its momentum when its speed increase from 1 m/s to 2 m/s?

Answers

Answer:

change in momentum (p) = m. (v₂ -v1)

                                          = 5. (2-1)

                     momentum = 5 m/s.

Answer:

Momentum also increases (doubles from 5 kgm/s to 10 kgm/s)

Explanation:

the momentum is given by

[tex]p=mv[/tex]

where [tex]p[/tex] is momentum, [tex]m[/tex] is mass of thebowling ball ([tex]m=5kg[/tex]), and [tex]v[/tex] is speed.

The momentum when [tex]v=1m/s[/tex] is:

[tex]p=(5kg)(1m/s)\\p=5kgm/s[/tex]

and the momentum when [tex]v=2m/s[/tex] is:

[tex]p=(5kg)(2m/s)\\p=10kgm/s[/tex]

so we can see that the momentum doubles from 5 kgm/s to 10 kgm/s.

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how much power would a light bulb have if it used 30 joules of energy every 3 seconds

Answers

Given that:

 Energy of bulb  (Work ) = 30 J,

 Time (t) = 3 sec

The power consumption =  ?

 We know that, Power can be defined as rate of doing work

              Power (P) = Work(Energy supplied) ÷ time

                               = 30 ÷ 3

                              = 10 Watts

The power consumption is 10 W.


how do we measure or think of speed in the united states?

Answers

I'm not sure what you mean by "think of speed", but the way we measure it is by plugging the numbers into this formula: distance divided by time. If you are trying to find an average speed, then your formula would be: total distance divided by total time. I hope this helped!:)

which fossil fuel is mostly used for heating and cooking

Answers

Natural gas is used for cooking and heating and it is a fossil fuel.

Natural gas is the most used energy sorces in homes


The planet Jupiter’s mean orbital radius is 5.2025 AU’s. what is the period of Jupiter in earth years?

Answers

11.86 years, or around that time it would take about 12 years.

The period of Jupiter's orbit around the sun is  11.862 Earth years.

What is Kepler's law of planetary motion?

Kepler's laws of planetary motion are a set of three laws that describe the motion of planets around the sun. They were formulated by the German mathematician and astronomer Johannes Kepler in the early 17th century, based on observations made by the astronomer Tycho Brahe.

Kepler's first law, also known as the law of orbits, states that the planets move in elliptical orbits around the sun, with the sun located at one of the foci of the ellipse.

Kepler's second law, also known as the law of areas, states that the line connecting a planet to the sun sweeps out equal areas in equal times. This means that a planet moves faster when it is closer to the sun and slower when it is farther away.

Kepler's third law, also known as the law of harmonies, relates the period and distance of a planet's orbit to its mass and the mass of the sun. Specifically, it states that the square of a planet's orbital period is proportional to the cube of its average distance from the sun.

These laws helped to revolutionize the field of astronomy and laid the foundation for the later development of Isaac Newton's laws of motion and gravitation.

Here in the question,

We can use Kepler's third law of planetary motion to calculate the period of Jupiter's orbit around the sun, which relates the period of an orbit to the average distance of the planet from the sun.

Kepler's third law states that:

(T^2) / (R^3) = (4π^2) / G,

where T is the period of the orbit, R is the average distance between the planet and the sun, G is the gravitational constant, and π is pi.

To solve for T in Earth years, we need to convert Jupiter's average distance from AU to kilometers (km) and then to meters (m), and we need to convert Earth years to seconds.

1 AU = 149,597,870.7 km

1 year = 365.25 days = 31,557,600 seconds (approx.)

So, Jupiter's average distance from the sun is:

R = 5.2025 x 149,597,870.7 km = 778,547,200 km = 7.785 x 10^11 m

Substituting the values into Kepler's third law, we get:

(T^2) / (7.785 x 10^11 m)^3 = (4π^2) / 6.6743 x 10^-11 m^3/(kg s^2)

Solving for T, we get:

T = ∛[(7.785 x 10^11 m)^3 / ((4π^2) / 6.6743 x 10^-11 m^3/(kg s^2))] = 11.862 Earth years

Therefore, the period of Jupiter's orbit around the sun is approximately 11.862 Earth years.

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what is the final volume of a gas with an initial volume of 200 .0ml if the pressure decreases from 500.0 kpa to 250.0 kpa

Answers

Answer:

Given Data:

V2 ?

V1 = 200 ml,

P1 = 500kpa and P2 = 2500kpa


From Boyels law (Ideal gas law) Where temperature remains constant, Pressure is inversely proportional to volume.

                   P1 .V1 = P2 . V2  ;       T=Constant

                        V2 = (P1.V1) ÷ P2

                              = (500×200) ÷(250)

                              = 400 ml

The final volume of the gas is 400 ml.

Note: Increased pressure decreases the volume or decreased pressure increase the volume as they are inversely proportional. Here in our answer pressure decreases from 500 kpa to 250 kpa so volume increases from 200 ml to 400 ml.

Using Boyle's Law, the final volume of a gas with an initial volume of 200.0 mL and an initial pressure of 500.0 kPa decreases to 250.0 kPa is calculated by rearranging the equation P₁V₁ = P₂V₂ to solve for the final volume, resulting in a final volume of 400.0 mL.

Find the final volume of a gas following a decrease in pressure, given the initial volume and the initial and final pressures. To solve this problem, we use Boyle's Law, which states that the pressure of a gas is inversely proportional to its volume when temperature and the amount of gas remain constant. The equation derived from this law is P₁V₁ = P₂V₂, where P₁ and V₁ are the initial pressure and volume, respectively, and P₂ and V₂ are the final pressure and volume.

To find the final volume (V₂), we rearrange the equation to V₂ = (P₁V₁)/P₂. Substituting the given values into the equation, we have:
V₂ = (500.0 kPa × 200.0 mL) / 250.0 kPa
V₂ = (100000.0 kPamL) / 250.0 kPa
V₂ = 400.0 mL

Therefore, the final volume of the gas is 400.0 mL.

Please find the equivalent resistance. (the question has been attached below)

Answers

Answer:

The final (equivalent) resistance of the circuit is 5 Ohms.

Explanation:

Use the formulas for combining two resistors

(a) in series [tex]R=R_1+R_2[/tex]

(b) in parallel [tex]\frac{1}{R}=\frac{1}{R_1}+\frac{1}{R_2}[/tex]

Steps:

Start simplifying the circuit at the right end (I am indexing the resistors by the index of the current in the schema)

Step 1: combine resistors 5 and 6 (parallel):

R_A = 1/(1/10+1/30)= 30/4 =15/2 Ohm

Step 2: combine 4 and 7 with R_A (series)

R_B = R4+R_A+R7 = 2 + 15/2 + 1/2 = 10 Ohm

Step 3: Resistor 3 with R_B (parallel):

R_C = 1/(1/15 + 1/10) = 6 Ohm

Step 4: Resistor 2 with R_C (parallel):

R_D = 1/(1/12+1/6) = 4 Ohm

Ste 5 Resistor 1 with R_D (series):

R = 1 + 4 = 5 Ohm

The final (equivalent) resistance of the circuit is 5 Ohms.


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