On a 80 km track, a train travels 40 km with a uniform speed of 30 km h¹. How fast must the train travel the next 40 km so as to have average speed 40 km h-¹ for the entire trip?​

Answers

Answer 1

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

In first 40 km, it travels with speed of 30 kmph

So, time taken in this span is :

[tex]\qquad \sf  \dashrightarrow \: \dfrac{40}{30} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{4}{3} \: \:hours[/tex]

And let's assume that it travels with uniform speed of x kmph during next 40 km

Now, time taken in this span of time is :

[tex]\qquad \sf  \dashrightarrow \: \dfrac{40}{x} \: \: kmph [/tex]

Now, we know the formula to find average velocity ~

[tex]\qquad \sf  \dashrightarrow \: v_{avg} = \dfrac{total \: \: distance \: \: covered}{total \: \: time \: \: taken} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 40 = \dfrac{80}{ \frac{40}{30} + \frac{40}{x} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{40}{30} + \dfrac{4 0}{x} = \dfrac{80}{40} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 40 \bigg( \dfrac{1}{30} + \dfrac{1}{ {x}^{} } \bigg) = \dfrac{80}{40} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{30} + \dfrac{1}{ {x}^{} } = \dfrac{2}{40} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{x} = \dfrac{1}{20} - \dfrac{1}{30} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{x} = \dfrac{3 - 2}{60} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{x} = \dfrac{1}{60} [/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 60 \: \: kmph[/tex]

So, for next 40 km, he need to maintain average speed of 60 kmph, in order to keep an average of 40 kmph for the whole trip ~


Related Questions

Derive a relation for the length of a rod at a given tempreture t 0c when l0 is its length at 0 0c

Answers

The relation for the length of road at a given temperature, L at t°c = L0(1 + αΔT)

When a rod is heated from 0°c to a temperature t°c, its length increases which is given by the following formula

ΔL/L0 = αΔT

Where ΔL = change in length = L- L0

Thus,

L-L0/L0 = αΔT

⇒ L-L-L0 = L0(αΔT)

⇒ L = L0 + L0(αΔT)

Or L = L0(1 + αΔT)

Here L is the length at temperature  t°c

L0 is the length at 0°c

α = coefficient of thermal expansion

ΔT = change in temperature

Thus, the relation for the length of road at a given temperature, L at t°c = L0(1 + αΔT).

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How has the Michelson-Morley experiment helped present-day scientists?

Answers

Michelson-Morley experiment helped present-day scientists by explaining how light travels through space and time.

What is an Experiment?

This is referred to as a procedure which is carried out by scientists in other support or refute a hypothesis and an example of such is the Michelson-Morley experiment which helped explain some properties of light.

This experiment was able to explain how light travels in different media and the velocity in which such occurs. It was also discovered that light has a constant speed of light which helped to establish different mathematical relationships between various parameters and helped  present-day scientists discover more.

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What is a Biome?

Define biome:

Each biome consists of many ___________________ whose _______________ have adapted to the

small differences in climate and the environment inside the biome.

To understand a world biome you need to know: (list the 4 things below)

1.

2.

3.

4.

Answers

Answer: Each biome consists of many habitats whose ecosystems have adapted to the small differences in climate and the environment inside the biome.

1. Most Plant and Animal Species Are Found in the Rainforest Biome.

2. Rainforest Plants Help in the Fight Against Cancer

3. Not All Deserts Are Hot.

4. One-Third of the Earth's Stored Carbon Is Found in Arctic Tundra Soil.

Biome  is a regional or global land area that is characterized by the plants, animals and climate in that area.

Each biome consists of many __habits__ whose  _ecosystem_ have adapted to the small differences in climate and the environment inside the biome.

To know a biome following things are important:-climatehabitatanimal and plant adaptation human activity.How many biomes are there?

Based on temperature and rainfall there are six major biomes:

DesertTundraGrasslandConiferous forestDeciduous forestTropical forest

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Ivy and Violet have measured their Buggy Car to have an average speed of 68.0 cm/s. Ms. Sterling has challenged them to release their car from a specific location such that it reaches a finish line in 4.10 seconds. How far from the finish line (in cm) should Ivy and Violet release the car?

Answers

The distance required is 278.8 cm.

What is the speed?

The speed is defined as the ratio of the distance covered to the time taken. Speed is a scalar quantity and the direction of the speed is not considered in the calculation.

We have the following information;

Speed of the car = 68.0 cm/s

Time taken = 4.10 seconds.

Speed = distance / time

distance = speed * time

distance = 68.0 cm/s *  4.10 seconds

Distance = 278.8 cm

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a parallel beam of * particles with fixed kinetic energy is normally incident on a piece of gold foil. (a) if 100 * particles per minute are detected at 20 , how many will be counted at 40 , 60 , 80 , and 100

Answers

A parallel beam of * particles with fixed kinetic energy is normally incident on a piece of gold foil. (a) if 100 * particles per minute are detected at 20, 20 will be counted at 40, 60, 80, and 100.

What is kinetic energy?

In physical science, the dynamic energy of an article is the energy that it has because of its movement. It is characterized as need might have arisen to speed up a body of a given mass from rest to its expressed speed. Active energy is the development energy of an item. Active energy can be moved among objects and changed into different sorts of energy. Nonetheless, it isn't impacted by the climate beyond the article or framework, like air or level. Then again, motor energy is the energy of an item or a framework's particles moving. In spite of expected energy, the dynamic energy of an article is comparative with other fixed and moving items present in its nearby climate.

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ASAP WILL GIVE BRAINLIEST!!!

During a safety test, a car hits a wall and stops in 0.55 s. The net force on the car is 6500 N during the collision.
What is the magnitude of the change in momentum of the car?

Answers

Answer:

The change in momentum of the car is 3575 Kg.m/s

Explanation:

Impulse and Momentum

The impulse (J) experienced by the object equals the change in momentum of the object (Δp).

The formula that represents the above statement is:

J = Δp

The impulse is calculated as

J = F.t

Where F is the applied force and t is the time.

The car hits a wall with a force of F=6500 N and stops in 0.55 s. Thus, the impulse is:

J = 6500 * 0.55

J = 3575 Kg.m/s

The change in momentum of the car is:

[tex]\Delta p= J = 3575\ Kg.m/s[/tex]

The change in momentum of the car is 3575 Kg.m/s

Complete the following sentences.
mento
When you drop a ball, it falls to the ground,
This happens because the
pulls the ball
towards it with a force called
I
Forces are measured in units called
(Total 3 marks)

Answers

force pull the ball towards it with a force called gravity. newton

estimate the value of resistances needed to make a variable timer for intermittent windshield wipers: one wipe every 15 s, 8 s, 4 s, 2 s, 1 s. assume the capacitor used is on the order of 3 μf .

Answers

The minimum value resistance is 330 kΩ and maximum value resistance is 5000 kΩ.

What is resistance?

Resistance is encountered by an electron as it passes through the external circuit's wires and loads. The obstacle to the flow of charge is called resistance. An electron cannot travel in a straight line from one terminal to the next. Instead, a zigzag path is created by several collisions with stationary atoms in the conducting substance. The movement of the electrons is hampered by resistance. Resistance prevents the passage of charge, whereas the electric potential difference between the two terminals promotes it. The combined influence of these two factors determines the rate at which charge flows from terminal to terminal.

Calculations:

θ = R * C

15s --- R = θ / C = 15 / 3x 10^-6 = 5x 10^6Ω----- 5000 kΩ

8s------R = 8 / 3x 10^-6 = 2.7x 10^6 Ω ----------------2700 kΩ

4s------R = 4 / 3x 10^-6 =  1.3x10^6 Ω -------------------1300kΩ

2s------R = 2 /3x 10^-6 = 0.67x 10^6 Ω ------------------670 kΩ

1s -----R = 1 / 3x10^-6 = 0.33x 10^6 Ω---------------------------330 kΩ

Part A

Answer : 330 kΩ ( min)

Part B

Answer: 5000 kΩ (max)

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Abe uses a wheelbarrow to move soil from his garden to a new flowerbed. He exerts an average force of 185 N while pushing the wheelbarrow, and he does 6.1 kJ of work while moving each load of soil. How far is he moving the soil?

Answers

Answer:

The distance he moved the soil is 32.97 m.

Explanation:

Given;

force exerted on the wheelbarrow, F = 185 N

work done in moving the soil, w = 6.1 kJ = 6100

The work done in moving the soil is given as;

Work done = force x distance he moved the soil

W = F x d

d = W / F

d = (6100) / (185)

d = 32.97 m

Therefore, the distance he moved the soil is 32.97 m.

A sound wave from a police siren has an intensity of 100.0 W/m² at a certain point; a second sound wave from a nearby ambulance has an intensity level that is 10 db greater than the police siren's sound wave at the same point. What is the sound level of the sound wave due to the ambulance?

Answers

The sound level of the sound wave due to the ambulance is 140.

What do you mean by sound?

In terms of physics, the sound is a vibration that travels through a transmission medium like a gas, liquid, or solid as an acoustic wave. Sound is the reception of these waves and the brain's perception of them in terms of human physiology and psychology. Only acoustic waves with frequencies between roughly 20 Hz and 20 kHz, or the audio frequency range, can cause a human to have an auditory sensation. These are sound waves with wavelengths ranging from 17 meters (56 ft) to 1.7 millimeters in the air at atmospheric pressure (0.67 in). Ultrasounds are sound waves with a frequency higher than 20 kHz that are inaudible to humans. Infrasound refers to sound frequencies below 20 Hz. Animals of different species have different hearing ranges.

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Calculate the force of gravity between two objects with a mass 1,000,000kg that are 10m apart

Answers

Answer:

F = 0.667 N

Explanation:

Given that,

Masses of two objects, m₁ = m₂ = 1,000,000 kg

The distance between masses, d = 10 m

We need to find the force of gravity between two objects. The formula for the gravitational force is given by :

[tex]F=G\dfrac{m_1m_2}{d^2}\\\\F=6.67\times 10^{-11}\times \dfrac{(1,000,000)^2}{10^2}\\\\=0.667 N[/tex]

So, the force of gravity between two masses is 0.667 N.

Suppose you fill two rubber balloons with air, suspend both of them from the same point, and let them hang down on strings of equal length. You then rub each with wool or on your hair so that the balloons hang apart with a noticeable separation between them. Make order-of-magnitude estimates of (b) the charge on each

Answers

The charge on each balloon is 100nC or 1.2 × 10^-7 C

Consider two balloons of diameter 0.200m each with a mass of 1.00g hanging apart with 0.0500m separation on the ends of string making angles of 10.0° with the vertical.

The charge on each balloon can be found from

[tex]F_{e} = \frac{k_{e}q^{2} }{r^{2}} \\q = \sqrt{\frac{k_{e}q^{2} }{r^{2}}} \\\\q = \sqrt{\frac{(2\times10^{-3N}(0.25m)^{2}}{8.99\times10^{9}N\cdotm^{2}/C^{2}}\\[/tex]

[tex]q = 1.2\times10^{-7}C[/tex] or 100nC

An electric charge is the property of matter where it has more or fewer electrons than protons in its atoms. Electrons carry a negative charge and protons carry a positive charge. The matter is positively charged if it contains more protons than electrons and negatively charged if it contains more electrons than protons.

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what is 19.2×108 minutes in hours? 3.200×109 ​h​ 3.200 times 10 to the power of 9 end power, , ​, h, ​ 1.152×1011 ​h​ 1.152 times 10 to the power of 11 end power, , ​, h, ​ 3.200×107 ​h​ 3.200 times 10 to the power of 7 end power, , ​, h, ​ 1.152×107 ​h

Answers

Answer: the answer is 3.200×107  ​h

Explanation:

here's proof, honestly had no idea either so i just guessed, but hope this helps!

what feature of the mtvr enables improved stopping control by rapidly adjusting air pressure to the brakes to prevent wheel lockup

Answers

Answer:

anti-lock braking system

Explanation:

HELPPPPP
Find an article about recent findings in physics from a reputable source. A quick Internet search can help you find good sources for physics-related articles. If you're unsure about the validity of your source, consult your teacher.

After you've read your article, complete the following in a post on this page:

Summarize it in 1-2 paragraphs.
In an additional paragraph, discuss any evidence presented in the article. Use the following questions to help guide you:
What, if anything, does this evidence support? Is it relevant to the author's main idea(s)?
Is a claim made or a position taken on a scientific issue? If so, to what degree does the evidence and reasoning in the text support that claim?
Cite your source.

Answers

Answer: hope this helps

wrote this last year

Explanation:

Why it is important to study the universe

There are many reasons why it is important to study the universe, such as we would know nothing about zodiac signs, planets, why and how the dinosaurs died.   The universe is an interesting place, and so much of it hasn't been explored. NASA (National aeronautics and space administration) is an agency that is responsible for development and  research of vehicles and activities in space.

The eight planets in your solar system are:

Jupiter~ named after Zeus the king of the gods.

Mars~ Named after the Roman god of war.

Uranus~ named after the Greek god of the sky ( Zeus. )

Mercury~ named after the Roman messenger god.

Venus~ named after the Roman goddess of love and beauty.

Saturn~ named after the Roman god of agriculture and wealth.

Earth~ is the only planet not named after anybody but its nickname is “the blue planet”

Now if we did not study the universe then how would we know all of that?  The universe is a BIG place and we are like Preons ( particles that are the building block to Quarks, Quarks are the particles in protons and neutrons ) compared to the universe.

Did you know that they have discovered an ocean on Jupiter? The ocean on Jupiter is 11 kilometer deep. It has also been discovered that it rains diamonds on Jupiter and Saturn.  One thing about the universe that is interesting to me is our moon, the moon comes in many colors such as:

Blue moon

Pink moon

Red moon

Yellow moon

Orange moon

There is also different types of solar eclipse:

Total eclipse~

Partial eclipse~

Annular eclipse~

The moon also has different phases as well:

Waning crescent

Third quarter

Waning gibbous

FULL MOON

Waxing gibbous

First quarter

Waxing crescent

Here is a fun fact about the moon, the moon is neither a star nor a planet, it is a satellite object. The first man on the moon was Neil Armstrong, and he was a part of Apollo 11, and Gemini 8. One of my favorite quotes from him is “ Mystery creates wonder and wonder is the basis of man’s desire to understand.”  Did you know that if you go to Death Valley, CA you can see the milky way from earth. One of the things I love about the universe is that it is full of mysteries. Lots of things we don't know about the earth and there are a lot of things we would not know if we didn't study the universe. Zodiac signs are the groups we put everyone in. These groups we are put in are deciphered by what month we are born in. The zodiac signs are what groups we are in according to the universe.

Please answer quick :)))
For each of the objects below determine the following:
(a) The forces that do work on the object.
(b) The amount of work done by each force.
(c) The net work done on the object.

Answers

b is the right answer

Using your knowledge of the wave nature of sound, EXPLAIN who heard the basketball hit the backboard first, the ESPN cameraman or photographer? Explain your answer.
A - The camera man
B - the photographer under Miami’s goal.

Answers

Answer:

I can not see the image, so i will answer in a general way.

As you know, the sound behaves like a wave, this means that the sound needs some time to cover a given distance. An example of this motion can be seen when you drop a little stone in water, and you can see how the waves expand.

This means that the one who will hear the sound first, will be always the one that is closer to the source of the sound, in this case, the sound comes from the ball hitting the backboard, then the one who is closer to the backboard will hear the sound first.

When running a long distance during the Texas summer which of the following would happen?

A. an increase in the rate of digestion
B. a decrease in the rate of breathing
C. a decrease in the speed of the plus
D. an increase in the Production of sweat ​

Answers

Answer:

Answer choice D!

Explanation:

When it comes to running during a hot day, the human body responds to extensive periods of heat by producing sweat. Sweat is necessary in order of cooling down the body, so that is why I figured it would be that answer. I hope this helped!

A car weighing 12,000 N is parked on a 36° slope. The car starts to roll down the hill. What is the acceleration of the car?​

Answers

Answer: 5.8 m/s squared

Explanation: just got that question lol

a running person has a what you need. Mass of 60kg and a speed of 3.16m/s what is her kinetic energy?

Answers

Answer:

[tex]\boxed {\boxed {\sf 299.568 \ Joules }}[/tex]

Explanation:

Kinetic energy can be found using the following formula:

[tex]E_k=\frac{1}{2}mv^2[/tex]

where m is the mass and v is the velocity.

The mass of the person is 60 kilograms and the velocity is 3.16 meters per second

[tex]m= 60 \ kg \\v= 3.16 \ m/s[/tex]

Substitute the values into the formula.

[tex]E_k=\frac{1}{2} (60 \ kg) *(3.16 \ m/s)^2[/tex]

First, evaluate the exponent.

(3.16 m/s)²= (3.16 m/s) * (3.16 m/s) = 9.9856 m²/s²

[tex]E_k=\frac{1}{2}(60 \ kg ) (9.9856 \ m^2/s^2)[/tex]

Multiply 60 kg by 9.9856 m²/s²

[tex]E_k=\frac{1}{2} (599.136 \ kg*m^2/s^2)[/tex]

Multiply 599.136 kg*m²/s² by 1/2, or divide by 2.

[tex]E_k=299.568 \ kg*m^2/s^2[/tex]

1 kg*m²/s² is equal to 1 Joule Therefore, our answer of 299.568 kg*m²/s² is equal to 299.568 Joules.

[tex]E_k= 299.568 \ J[/tex]

The running person has a kinetic energy of 299.568 Joules.

Solution:

We know that, Kinetic energy(kE)= 1/2×m×v^2

By applying formula,we get

Or,KE=1/2×60×3.16^2

Or,kE=299.57j

So,her kinetic energy is 2999.5j

1.)A tank travels at a rate of 10.0 km/hr for 12.00 minutes, then at 15.0 km/hr for 8.00
minutes, then turns 180 degrees at 20.0 km/hr for 12.00 minutes. What is the total
distance covered in km by the tank? What is the average speed for the complete trip in
m/s? What is the change of position of the tank? What is its average velocity?
Given
Equation
Find
Diagram

Answers

12.00 min = 0.2 hr

8.00 min = 0.15 hr

Total distance:

(10.0 km/hr) (0.2 hr) + (15.0 km/hr) (0.15 hr) + (20.0 km/hr) (0.2 hr)

= 8.25 km

Average speed:

(10.0 km/hr + 15.0 km/hr + 20.0 km/hr) / 3

= 15 km/hr

Change in position:

(10.0 km/hr) (0.2 hr) + (15.0 km/hr) (0.15 hr) - (20.0 km/hr) (0.2 hr)

= 0.25 km

Average velocity:

(10.0 km/hr + 15.0 km/hr - 20.0 km/hr) / 3

≈ 1.67 m/s

The gravitational force between the Sun and the Earth is about 3.5 x 10²² N.

What would be the value of the gravitational force if the distance between them were quadrupled?

Answers

Answer: 2.2 x 10^21

Explanation:

Justify the shape of energy pyramids

Answers

The shape of the energy pyramid shows that there is enough biomass energy contained in the primary producers at the bottom to support the predators at the top, even though energy is lost at each level. ... Each level is the same height and the available energy is represented by the width of each level.

Soccer player kicks a soccer ball with a force of 1300N. the soccer ball hits the player with a force of what

Answers

Answer:

The traffic light pulling upward on earth with a 1500 N force.

Explanation:

A girl throws a 2 kg rock with a net force of 6 N. What is the acceleration of the rock?

8 m/s2
0.33 m/s
2 3 m/s2
12 m/s2

Answers

it’s 12 m/s2 i believe but i’m nit sure

Answer:

3 m/s2

Explanation:

Took the test

calculate the velocity (in m/s) of an ocean wave that has a wavelength of 50 meters and a frequency of 0.1 hz.

Answers

The ocean wave velocity is 5m/s.

What is wave velocity?

Wave speed commonly refers to velocity, but velocity actually means both speed and direction. A wave's velocity is equal to its wavelength times its frequency (the number of oscillations per second) and is independent of its intensity.

When a point in a rigid body oscillates, both transverse waves (waves in which the point oscillates transversely to the direction of travel) and longitudinal waves (waves in which the point oscillates in the same direction as the direction of travel) are emitted at the same frequency. Longitudinal waves are random, with longer wavelengths traveling faster. Seismic waves, therefore, consist of both longitudinal (P, primary) and transverse (S, secondary) waves and travel through the Earth at two velocities.

Wave velocity is related to wavelength and frequency by the following equations:

Velocity = wavelength x frequency

Using the above formula, we can easily calculate the ocean wave velocity as follows:

Velocity ​​= 50 x 0.1

Velocity = 5m/s

From the calculation above, we know that the ocean wave velocity is 5m/s.

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a ball initially rolling at 10 m/s comes to a stop in 25 seconds. how far does it travel during this time interval\

Answers

Vi= 10m/s Vf= 0 t= 25 seconds
vi + vf = 2x/t
10+0= 2x/25
2x=250
x= 250/2 = 125 meters

What is the quantity name for the derived unit kg/m^3?​

Answers

I am pretty sure it’s kilogram per cubic meter


A player hits a ball with a bat. The action is the force of the bat against the ball.
What is the reaction to this force?

Answers

Answer:

Force of the ball against the bat

Explanation:

Newton's third law of motion states that for every action, there is an equal and opposite reaction. When a player hits a ball with a bat, the force the player exerted on the ball through the bat gave the ball a push force in the forward direction. This is an action force. Now that an action has been initiated, there must be a reaction according to Newton's third law of motion. The magnitude of the force on the ball equals the magnitude of the force on the bat. The direction of the force on the ball is opposite to the direction of the force on the ball. The ball will give the bat an equal and opposite force trying to push the bat backward by resisting the impact of the bat. This is the reaction. The ball will only move if the applied force is able to overcome the resisting force by the bat

Where;

is the action force of the bat against the ball.

is the equal and opposite reaction force of the ball towards the ball.

Which of the following is the standard (SI) unit of temperature?
Kelvin (K)
Celsius (C)
Farrenheit (F)
None of these

Answers

The answer is (C) Calsius i hope this helped

Kelvin (K)

The kelvin (K) is the base unit for temperature of the SI. Kelvin is called the absolute temperature scale because it does not use degrees.

Other Questions
Steve races to the nearest taco stand at lunchtime and sees that his pedometer recorded his peak speed at 91.1 cm/s. What was Steve's peak speed in kilometers per hour? At the beginning of the day the stock market goes down 50 1/2 points and stays at this level for most of the day. At the end of the day the stock market goes up 120 3/4 points from the low at the beginning of the day. What is the total change in the stock market from the beginning Revisit the Essential Question about telling details. Which detalls in the story did you find most telling when trying to understand Farquhar and his situation? If a train is going 3 miles in a hour how much will it go into 2 3/4 a hour Select the best answer.Los salvadoreos salieron de El Salvador para ________Select one:O a. escapar de la guerra civilO b.escapar de Ral CastroO c.escapar de la democraciaO d. escapar del rgimen comunista In a class in which the final course grades depends entirely on the average of four equally weighted 100 point test David has scored 81, 92, and 74 on the first three. What range of scores on the fourth test will give David a b for the semester ( an average between 80 and 89 inclusive) assume that all the test scores have a non negative value For Hobbes, what was the proper role of government for the people? A bank offers 10.00% on savings accounts. What is the effective annual rate if interest is compounded continuously? The rotor in a certain electric motor is a flat, rectangular coil with 80 turns of wire and dimensions 2.50 cm by 4.00 cm . The rotor rotates in a uniform magnetic field of 0.800 T . When the plane of the rotor is perpendicular to the direction of the magnetic field, the rotor carries a current of 10.0 mA . In this orientation, the magnetic moment of the rotor is directed opposite the magnetic field. The rotor then turns through one-half revolution. This process is repeated to cause the rotor to turn steadily at an angular speed of 3.6010 rev/min. (a) Find the maximum torque acting on the rotor. when you think miss strangeworths life, which of the following seems ironic medical team conference, patient and/or family not present, 30 minutes or more participation by nonphysician qualified health care professional. assign the cpt code. | Question 40 (1 point)Why are congressional seats reapportioned every decade?to accommodate an increasing number of senatorsto accommodate an increasing number of House membersto accommodate changes in the national populationto accommodate changes in state populations after the census is taken Determine whether the equation 32 +15= 3(x+5) has one solution, no solution, or infinitely many solutions.one solutioninfinitely many solutions.O no solution12POSSIBLE PO3 4U Assume a 150 -W loudspeaker broadcasts sound equally in all directions and produces sound with a level of 103dB at a distance of 1.60 m from its center.(b) Find the efficiency of the speaker, that is, the fraction of input power that is converted into useful output power. rotein synthesis is an essential part of cellular metabolism, and it requires the involvement of a number of molecules, structures, and organelles. list the molecules, structures, and organelles in the order that enables protein synthesis. start with the instructions that encode a protein, and end with the structure through which a protein leaves the cell. The prehistoric Aegeans created figurines representing females. The statuette figure is portrayed usingthe (blank) geometric shape. a vector with magnitude 8 points in a direction 70 degrees counterclockwise from the positive x axis. write the vector in component form. evaluate 7x2x7x5 using property of numbers name the property in each step7x2x7x5:7x7x2x5(7x7)x(2x5)49x10= 410 Scarlett left her house at time zero and drove to the store, which is 3 blocks away, at a speed of 1 block per minute. Then she stopped and went into the store for 4 minutes. From there, she drove in the same direction at a speed of 5 blocks per minute until she got to the bank, which is 15 blocks away from the store. She stopped at the bank for 3 minutes. Then she drove home at a speed of 3 blocks every minute. Make a graph of showing the number of blocks away from home that Scarlett is xx minutes after she leaves her house, until she gets back home.Click twice to plot a segment.Click a segment to delete it.0Time Elapsed (Minutes)Distance (Blocks from Home)xy How did the Glorious Revolution affect the colonies?O It barred Protestants from immigrating to the colonies.O It sparked revolts such as Leisler's RebellionO It forced colonial governors to convert to Catholicism