A fast train has a speed of 181 km/hr. Because its wheels have a limited grip to the railway, the train must not accelerate at more than 0.058g (where g = 9.81 m/s2) while turning, or it will derail. What is the smallest radius of curvature for the track that the train can tolerate? If there is a curve of radius 1.100 km, what speed must the train mantain to keep the acceleration at the limit?

Answers

Answer 1

a. The the smallest radius of curvature for the track that the train can tolerate is 4.44 km

b. The speed must the train mantain to keep the acceleration at the limit is 25 m/s

a. What is the smallest radius of curvature for the track that the train can tolerate?

Using the equation for centripetal acceleration, we find the radius of the circle the train can tolerate.

So, centripetal acceleration a = v²/r where

v = speed of train and r = radius of curvature of track.

What is the radius of curvature of the track?

Making r subject of the formula, we have

r = v²/a

Given that the train has a speed of 181 km/hr and its acceleration must not exceed 0.058g, we have that

v = 181 km/hr = 181 × 1000 m/3600 s = 50.28 m/s and a = 0.058g = 0.058 × 9.81 m/s² = 0.569 m/s²

So, substituting the values of the variables into the equation for r,we have

r ≥ v²/a

r ≥ (50.28 m/s)²/0.569 m/s²

r ≥ 2528.0784 m²/s²/0.569 m/s²

r ≥ 4443.02 m

r ≥ 4.44 km

So, the the smallest radius of curvature for the track that the train can tolerate is 4.44 km

b. If there is a curve of radius 1.100 km, what speed must the train mantain to keep the acceleration at the limit?

Using the equation for centripetal acceleration, we find the radius of the circle the train can tolerate.

So, centripetal acceleration a = v²/r where

v = speed of train and r = radius of curvature of track.What is the speed of the train?

Making v subject of the formula, we have

v = √ar

Given that there is a curve of radius 1.100 km and its acceleration must not exceed 0.058g, we have that

r = 1.100 km = 1100 m and a = 0.058g = 0.058 × 9.81 m/s² = 0.569 m/s²

So, substituting the values of the variables into the equation for r,we have

v = √ar

v = √(0.569 m/s² × 1100 m)

v = √(625.9 m²/s²)

v = 25.02 m/s

v ≅ 25 m/s

So, the speed must the train mantain to keep the acceleration at the limit is 25 m/s

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Related Questions

During the COVID pandemic many people acted to help those in need despite the risk to themselves. This action best illustrates

Answers

Measures for protecting workers from exposure to and infection with SARS-CoV-2, the virus that causes Coronavirus Disease 2019

Calculate the average speed (in m/s) of a cheetah that run 140 meters in 5 seconds

Answers

Given :

Distance travelled by Cheetah = 140 mTime taken by Cheetah = 5 seconds.

How to calculate average speed?

Average speed is calculated by Distance travelled / time taken.

Here, we know distance is 140 m and time is 5 seconds. Substituting the values,

=) Distance / Time

=) 140 m / 5 s

=) 28 m/s.

Therefore, the average speed (in m/s) of a cheetah that runs 140 meters in 5 seconds is 28m/s.

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A right triangle has a leg that measures 17 measures 24 ft. What would the missing length be

Answers

The lenght of the missing side is 29.41 ft.

To calculate the missing length of the triangle, we use pythagoras theorem.

What is pythagoras theorem?

Pythagoras theorem states that in a right angle triangle, the square the hypotenus is equal to the sum of the square of the two other sides.

These can be expressed mathematically as

a² = b²+c²...............Equation 1

From the question,

b = 17 ftc = 24 ft

Substitute these values into equation 1

a² = 17²+24²a² = 289+576a² = 865a = √865a = 29.41 ft.

Hence, the lenght of the missing side is 29.41 ft.

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Question 12 (1 point)
Football player Joe is running toward the opponent's goal line with the football, and slows down as he encounters the other team. If the opponent's goal line is the reference point, which of the following best describes his motion?

Question 12 options:

Negative Velocity, Positive Acceleration


Negative Velocity, Negative Acceleration


Positive Velocity, Positive Acceleration


Positive Velocity, Negative Acceleration

Answers

Answer:

d

Explanation:

I remember it was right

An auto's velocity increases uniformly from 6.0 m/s to 20 m/s while covering 70 m in a straight line. Find the acceleration and the time taken.

Answers

An auto's velocity increases uniformly from 6.0 m/s to 20 m/s while covering 70 m in a straight line, its acceleration is 2.6 [tex]m/s^2\\[/tex] and the time taken is 5.4 s.

Acceleration

The probable rate at which an object’s velocity changes with respect to time is referred to as its acceleration in mechanics. They are vector quantities and accelerations.

The direction of the net force acting on an object determines the direction of its acceleration.

Measurement scale

The meter per second ([tex]m/s^2\\[/tex]) unit of acceleration is used to measure speed. The square meter is a measure of area ([tex]m^2[/tex])

The auto's velocity increases uniformly from 6m/s to 20m/s while it is covering the total of 70m.

Since it increases uniformly, thus we can use equation of motion

[tex]V^2 - U^2 =2as[/tex]

U = 6m/s

V = 20m/s

s = 70 m

Thus,

[tex](20)^2 - (6)^2 = 2*a*70[/tex]

a = 2.6 [tex]m/s^2\\[/tex]

Then for the time, we have

a = [tex]\frac{(V-U)}{t}[/tex]

2.6 = [tex]\frac{20 - 6}{t}[/tex]

t = 5.4 s

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What balancing level are we at if we are standing at normal posture?
Medium
High
Low
Normal

Answers

The balancing level that we are when standing at a normal posture is the Normal balancing level. That is option D.

What is posture?

Posture is defined as the bearing of one's body while at rest or while moving.

Normal posture can be defined as the normal position of the body while standing which involves standing straight and tall with shoulders back and the hands by the sides with the head kept in line with the body level.

The balancing level of posture is that level where the body is being positioned in such a manner as to reduce the amount of work done by the muscles.

Therefore, the balancing level that we are when standing at a normal posture is the Normal balancing level.

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According to newtons 1st law of motion if u leave a cookie on a plate and there is no one else in the house,where will the cookie be in an hour?

Answers

On the plate still or covered in ants

a ball is thrown vertically upward with a speed of 19 m/s from a height of 7 m. how high does the ball rise from original position?

Answers

The ball rise 18.42 m from its original position.

What is Height?

Height is the vertical distance between two points.

To calculate the height of the ball, from the original position, we use the formula below.

Formula:

v² = u²+2gh.......... Equation 1

Make h the subject of the equation

h = (v²-u²)/2g...........Equation 2

Where:

v = Final speedu = Initial speedg = Acceleration  due to gravityh = Height of the ball from the original position

From the question,

v = 0 m/su = 19 m/sg = -9.8 m/s²

Substitute these values into equation 2

h = (0-19²)/(2)×(-9.8)h = -361/-19.6h = 18.42 m

Hence, the ball rise 18.42 m from its original position.

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Snow how the units of from the ROU Fundamental for (A) (Area) (B) (speed) is derived whits,​

Answers

Area and Speed are derived Units Because they are derived from the Fundamental Units

By proceeding using the dimensional analysis,

We can see,

Area = Length of object x Breadth of object

As we know, both the length and the breadth of the object are measured as Meter(M),

Area = M x M

Now, for Speed,

Speed = distance/time

unit of distance is Meter(M) and unit of time is Second(S), both of these are fundamental quantities.

Speed = Meter/second

Speed = M/S

As we can see, the unit of area is a composition of a fundamental unit and speed is also a composition of fundamental unit and any unit which is composition of one or more fundamental unit is called derived Unit.

Hence it is proved that Area and Speed are Derived Units.

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What is the change in the freezing point of water when 68.5 g of sucrose is
dissolved in 500.0 g of water?
Kf of water = -1.86°C/mol
molar mass sucrose = 342.30 g/mol
ivalue of sugar = 1
OA. -0.215°C
OB. 0.254°C
C. -0.744°C
D. 0.0186°C
SUBMIT

Answers

When 68.5 g of sucrose is dissolved in 500.0 g of water, the freezing point of the water decreases by -0.744°C.

The correct option is C.

What does freezing point mean?

The temperature at which a liquid freezes is known as the freezing point. The freezing point normally rises with increased pressure, much like the melting point does. Combinations and some organic materials, such lipids, have freezing points that are lower than melting points.

Briefing:

The following formula is used to determine the freezing point depression:

ΔT = i m

where ,

ΔT is the change in freezing point,

i is the van't Hoff factor,

is the freezing point depression constant, and

m is the molality of the solution.

It is given in the question that the

of water = -1.86°C/mol

molar mass sucrose = 342.30 g/mol

i value of sugar = 1

500.0 g of water and 68.5 g of sucrose are dissolved in it.

ΔT  = 1 * -1.86° *m

molality = (68.5/342.3)/(500/1000)= 0.200116857/.5

m = 0.400

ΔT  = 1 * -1.86° * 0.400

ΔT  = - 0.744°C

The change in the freezing point of water when 68.5g of sucrose is dissolved in 500.0 g of water is - 0.744°C .

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A car accelerates from rest to a speed of 33 m/s. If the distance traveled by the car is 125m, how long
did it take for the car to reach this speed?

Answers

The car reaching to the given speed at the time, t = 0.264 s

Equation :

To know the time of the car reaching to the given time use formula,

s = d / t

where,

s is speed

d is distance

t is time

Given,

distance, d = 125m

speed, s = 33m/s

time, t = ?

Putting values,

33m/s = 125 m / t

t = 33 m/s / 125m

t = 0.264 s

Speed time and distance relation :

Speed is calculated as follows: speed = distance x time. Knowing units for distance and time is necessary to calculate the units for speed. The units will be in metres per second (m/s) in this example because the distance is measured in metres (m) and the time is measured in seconds (s).

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A ball is dropped from the top of a tall building of height = 91 m. What was the magnitude of the velocity of the ball at impact?

The magnitude of gravity use 10
m/s²

Answer to the nearest hundredth of a meter/sec

Draw a position time graph that represents the problem

Draw a velocity time graph that represents the problem.

Answers

The magnitude of velocity of the ball dropped from a 91 m tall building at the point of impact is 42.8 m / s

s = ut + 1 / 2 at²

a = v / t

s = Distance

u =Initial velocity

a = Acceleration

t = Time

s = 91 m

a = 10 m / s²

s = ut + 1 / 2 at²

91 = 0 + ( 1 / 2 * 10 * t² )

t = √ ( 18.2 )

t = 4.27 s

v = 10 * 4.27

v = 42.7 m / s

The position-time graph and the velocity-time graph that represents the problem is drawn in the image attached.

Therefore, the magnitude of velocity of the ball is 42.7 m / s

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A soccer ball is kicked horizontally off a cliff with an initial speed of 8 m/s and lands 16 m from the base of the cliff.

Answers

The height of the cliff from the ground is 19.6 meters.

What is Projectile motion?

Projectile motion is the motion of an object thrown or projected into the air, subject to only the acceleration due to gravity.

Given is the initial speed of soccer ball kicked horizontally off a cliff which is 8 m/s. It cover a horizontal distance of 16 m. From this, we can write -

Horizontal initial velocity = u [h] = 8m/s

Horizontal distance covered = S [h] = 16m

For horizontal direction, of motion, we can write -

u [h] = 8m/s

S [h] = 16m

From second equation of motion applied for the horizontal direction -

S[h] = u[h] x t + 1/2 a[h] x t²

Since horizontal acceleration a[h] is zero, we can write -

t = S[h]/u[h]

t = 16/8

t = 2 seconds

Since the ball is kicked horizontally, the initial vertical velocity u[v] will be 0 m/s.

The acceleration in the vertical direction a[v] is directed vertically downwards and is equal to 9.8 m/s².

From second equation of motion applied for the vertical direction -

S[v] = u[v] x t + 1/2 x a[v] t²

S[v] = 1/2 x a[v] t²                      {u[v] = 0}

S[v] = 1/2 x 9.8 x 4

S(v) = 9.8 x 2

S[v] = 19.6 m

Therefore, the height of the cliff from the ground is 19.6 meters.

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[ The given question is not complete, the complete question is -

A soccer ball is kicked horizontally off a cliff with an initial speed of 8 m/s and lands 16 m from the base of the cliff: What is the time of flight of the soccer ball? What is the height of the cliff? ]

What were you doing when you felt most passionate and alive and where?

Answers

A happiness that is full of significance and delight as well as a sense of vitality and freedom results from this kind of all-consuming desire. This is your chance to live a more fulfilled life where finding joy in what you do instead of pursuing the one thing you love is the goal.

Passion fuels our motivation. It aids us in constructing our dreams and goals. It's how we decide what our life's job is, and why we put in the effort to get there. Our lives are useless and unfulfilling without passion—for our friends and family, for creating beauty, for giving back, or for fulfilling a higher purpose.

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An airplane touches down at a speed of 55.0 m/s on a runway that is 600.0 m long. The plane can decelerate at a uniform rate of 2.50 m/s². Will the plane be able to stop before the end of the runway?

Answers

The final velocity of the plane at the end of the railway is:

V2f=v2i+2a(x)

v2f=(55m/s)2−(2)(2.5m/s2)(600m)

vf=5m/s.

Since the final velocity is not equal to zero, the plane would not be able to stop at the end of the runway.

Technically, there may be the most effective manner for the aircraft to stay putting motionless inside the air if weight and raise cancel every other out perfectly, and at the equal time thrust and drag cancel every different out too. but this is exceptionally uncommon. To live within the air and sustain its flight, a plane wishes to be moving forward.

In addition to wing spoilers, airplanes use disc brakes. aircraft disc brakes are just like the braking system in automobiles. They consist of a pair of calipers that, while engaged, squeeze pads towards the rotors of an aircraft's landing gear. Disc brakes are designed to stay static at all times. maximum planes use a long runway earlier than takeoff to gain enough velocity for the aircraft to raise up into the air. most airplanes can take off handiest if they are moving rapidly sufficient.

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I’m curious to the differences between a rhetorical essay and a persuasive essay? Can anyone help out with a quick thorough answer?

Answers

Answer:

In a rhetorical essay you only analyze and cite 1 source in a persuasive essay you cite and analyze many different sources

Explanation:

1. Compare the kinetic energy distributions for the heavy vs. light particles at the same
temperature. Are these the same or different? What about the speed distributions?
2. Compare the kinetic energy distributions for the heavy vs. light particles at different
temperatures. Are these the same or different? What about the speed distributions?
3. Compare the kinetic energy distributions for the mixture to those of the heavy-only and light-
only gases at the same temperature. Are these the same or different? What about the speed
distributions?
4. Summarize your observations about the relationships between molecular mass (heavy vs.
light), kinetic energy, particle speed, and temperature.

Answers

Only when the average speed of the heavy particles is lower than that of the light particles will the average kinetic energy of the light particles equal the average kinetic energy of the heavy particles.

How do the kinetic energy of the light and heavy particles compare?

Only when the average speed of the heavy particles is lower than that of the light particles will the average kinetic energy of the light particles equal the average kinetic energy of the heavy particles.

As the temperature rises, the particles accumulate kinetic energy and quicken. The actual average speed of the particles is influenced by both their mass and temperature; at a given temperature, larger particles travel more slowly than lighter ones.

Given that the formula for calculating a particle's kinetic energy is

Ek = 1/2 mu²,

The formula for particle speed is [tex]$$c = [3RT/M]^{1/2[/tex].

The graphs of kinetic energy and particle speed show that the heavier particles only have higher peaks, whilst the lighter particles only have lower peaks.

It is clear from the graphs and the temperatures employed that the graphs' shapes were nearly identical. It does not appear to be significantly impacted by temperature.

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The drawing shows two tug-of-war teams. Each person in the red team is
pulling with a force of 250 N. Each person in the blue team is pulling with a
force of 200 N.
S
AX
a What is the total force exerted by the blue team?
b What is the total force exerted by the red team?
c What is the resultant (unbalanced) force on the rope?
d Which team will win?

Answers

a) Force exerted by blue team  = 1200N

b) Force exerted by red team=1250N

c) Resultant =50N in the direction of red team

d) Red team will win as they are pulling with greater force

There are 6 people on blue team and 5 people on red team

so here it is given that in blue team a person exerts a force of 250N and number of people is 6 , then total force will be 200x6=1200N

so here it is given that in red team a person exerts a force of 200N and number of people is 5 , then total force will be 250x5=1250N

the unbalance force here is 1250-1200=50N

from the above we know that red team have an extra force of 50N so they will win the match as they are pulling with greater force.

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It is observed that 54.90 mL of water at 20∘C completely fills a container to the brim. When the container and the water are heated to 60∘C, 0.35 g of water is lost. Part A What is the coefficient of volume expansion of the container? Density of water at 60 ∘C is 0.98324 g/mL.

Answers

The coefficient of volume expansion is given as  1.5012 x10^-4

What is volume?

A volume can simply be defined as the amount of space occupied by any three-dimensional solid. The solids can take the shape or form of a cube, a cuboid, a cone, a cylinder or a sphere

Volume of water that is lost

= (0.35) * (0.98324) mL

= 0.3441 mL

The original volume of

55.50 mL will increase to

55.8441 mL

V(t) = Vo [1 + γ(60.0 - 18.7)]

=> coefficient of volume expansion,

γ = (Vt - Vo) / [Vo * 41.3]

= (0.3441) / [(55.50) (41.3)

= 1.5012 x10^-4

The coefficient of the volume expansion can be the measure of the fractional change of size per unit change in the temperature with the surrounding pressure being constant.

In conclusion, the coefficient of volume  is most applicable to the fluids.

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The process of estimating values between measured data points is called

interpolation
extrapolation
parallax

Answers

It's interpolation
Pls mark as brainliest

Answer:

interpolation

Explanation:

I got it right on the test.

Which characteristic is used to measure of light radiated by sh star

Answers

The characteristic that is used to measure light radiated by a star is luminosity. The correct option is C.

What is luminosity?

The radiant power emitted by a light-emitting object with respect to time is measured as luminosity, which is an absolute measure of radiated electromagnetic power.

The total amount of electromagnetic energy radiated per unit of time by a star, cosmos, or other celestial object is referred to as luminosity in astronomy.

The amount of light emitted by a star is measured using luminosity. It is the total amount of emery or light emitted by a star per unit of time. Or it is the total energy produced by a star in one second from its surface.

Thus, the correct option is C.

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Your question seems incomplete, the missing options are:

Size

color

luminosity

temperature

An archer stands at rest on a frictionless frozen lake; his total mass including his bow and quiver of arrows is 60.00 kg. He then fires a 0.030kg arrow at 50.0 m/s at an angle of 30.0° above the horizontal. If it takes 650N of force to break the ice and the arrow leaves the bow in 10ms, what force does the archer exert on the ice?

Answers

The speed of the archer is 0.15m/s

The weight of the arrow compared to the man is

60/0.03 = 2000.

Thus, the man is 2000x heavier than the arrow.

Momentum is defined as P = m v or mass times velocity.

This must always be conserved. Since they stand at rest, the total momentum is zero.

The momentum of the arrow once shot is

50 x 0.03,

and thus the momentum of the archer is given by

60 x speed = 50 x 0.03

This rearranges into speed = (50 x 0.03) / 60

=0.15m/s

The speed of the archer is

=(speed of the arrow x mass of the arrow) / mass of the archer

=(50 × 0.030)/60

=0.15m/s

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A runner can maintain a constant acceleration of 1.1m/s^2 for 8.5 seconds. What distance could the runner cover in that time of starting from rest

Answers

The distance covered by the runner after starting from rest is 39.74 m/s².

The real route length of a moving particle or object is referred to as distance. The shortest distance between a body's initial and final positions is referred to as displacement. Speed is the amount of distance a particle travels in one unit of time.

The constant acceleration of a runner is 1.1 m/s².

The runner maintains the constant acceleration for 8.5 seconds.

So,

a = 1.1 m/s²

t = 8.4 seconds

Since the runner starts from the rest.

Therefore, the initial velocity u = 0 m/s

Using the equation of motion,

s = ut + (1/2) × a × t²

s = 0 × 8.5 + ( 1/2 ) × 1.1 × 8.5 × 8.5

s = ( 1/2 ) × 79.475

s = 39.737 m/s²

s = 39.74 m/s²

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A Ford F150 can slow to a stop from 60 m/s in 2.44 seconds with an acceleration of -0.207 m/s2. What is the braking distance of the car?

Answers

The braking distance of the car, given the data from the question is 145.784 m

How to determine the braking distance

From the question given above, the following data were obtained:

Initial velocity (u) = 60 m/sTime (t) = 2.44 sAcceleration (a) = -0.207 m/s²Final velocity (v) = 0 m/Breaking distance (s) =?

The breaking distance of the car can be obtained as illustrated below:

s = ut + ½at²

s = (60 × 2.44) + (½ × -0.207 × 2.44²)

s = 146.4 + (-0.616)

s = 146.4 - 0.616

s = 145.784 m

From the calculation made above, we can conclude that the breaking distance of the car is 145.784 m

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A displacement is related to time as x=Asin(2πft).where A is a constant,t is the time and f is the frequency.Find the dimensions of A.

Answers

The dimension of the amplitude, A is L.

What is amplitude of a wave?

The amplitude of a wave is the maximum displacement of the wave.

The amplitude of a wave is measured in the units of meters.

The given displacement of the light wave;

x = A sin(2πft)

where;

x is the displacement of the waveA is the amplitude of the wavef is frequency of the wavet is time of the wave's motion

Dimension of of amplitude, A

Since amplitude of a wave measures the wave's displacement, then amplitude will have the same dimension as displacement.

A = meters = L

Thus, the dimension of the amplitude, A is L.

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A person swims at a constant speed of 1 meter per second. What type of function can be used to model the distance the swimmer travels?
Hint: sketch a graph of what this would like and see which parent function it looks like

Answers

If a person swims at a constant speed of 1 meter per second, than the linear function will be used to model the distance travelled by the swimmer.

The parent function is "the principal's of ice"

A linear function is a function that forms a straight line on a graph. It is generally a polynomial function whose degree is at most 1 or 0. Although linear functions are also represented in terms of calculus and linear algebra.

Here Y-axis represents Distance and X-axis represents Time.

Also speed is the rate of change of distance with respect to time i.e. distance is changing linearly with time

Mathematically it is  [tex]Speed = \frac{distance}{time}[/tex].

Change in Distance = Change in time and hence speed is constant.

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What did the Nuremberg Laws do:
A. Kept Jews from being German citizens and marked them with a Star of David
B. Establish the policy of mass-murder against the Jews
C. Moved Jews from occupied countries to ghettos
D. Prevented Jews from being teachers or judges

Answers

The Nuremberg Laws did Option A.) “Kept Jews from being German citizens and marked them with a Star of David.”

Established in 1935, the Nuremberg Laws were antisemitic but authorized laws that were imposed on Jews. These laws kept Jews from being German citizens through a statement that summarized the idea that German citizens had to have German blood to be a citizen. This left many Jews in chaos because while it kept them from residing in a certain state, it also prevented them from leaving Germany.

Answer Recap: Option A is the correct answer.

A light-year (ly) is the distance light travels in one year (at speed of 2.998 × 10^8 m/s ). An astronomical unit (AU) is the average distance from the Sun to Earth, 1.50 × 10^8 km. 1 year = 3.156 × 10^7 s.

A. How many meters are there in 1.50 ly ?

B. How many AU are there in 1.50 ly light-year?

Answers

There are few points given to us in this question.

The speed of lightTime (in seconds) in a yearDistance between Earth and SunSpeed of light in m/s

A) There are 1.41× 10^16 m in 1.5 light years

B) There are 9.4 × 10^4 AU in 1.5 light years

What is a light year?

Many might confuse it with time because of the presence of term “year” this term is actually used for space objects to measure distance. Light Year is the distance travelled by light in one Earth year.

It’s a term named by German scientist Friedrich Bessel who first used it in 1838.

One light year is about 6 trillion miles or 9.46 trillion kilometers.

To solve part A, we will first multiply V(light) with time (in seconds) in a year and multiply the product with 1.5 light year per light year.

Now let us understand what is Astronomical Unit AU?

AU is also used to measure distance but within our solar system. It is usually the average distance between Sun and Earth. It is about 93 million miles or 150 million kilometers.

To solve part B, we first convert the light year to AU and we do this by using the final value from part A and then convert it in significant figure to obtain a proper value for the answer.

The calculations are shown in the figures below.

Hence,

A) There are 1.41× 10^16 m in 1.5 light years

B) There are 9.4 × 10^4 AU in 1.5 light years

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The gravitational potential energy of an object
depends on ....
[mark all correct answers]
a. mass of the object
b. velocity of the object
c. gravitational field
d. height of the object
e. stretch of the object
f. stiffness of the object

Answers

The gravitational potential energy of an object depends on  mass of the object, gravitational field and height of the object.

What is gravitational potential energy?

The gravitational potential energy of an object is the energy possessed by the object due to the object's position above the ground level.

P.E = mgh

where;

m is mass of the objectg is acceleration due to gravityh is the height of the object

The factors affecting gravitational potential energy of an object include;

mass of the objectheight of the objectacceleration due to gravity or gravitational field

Thus, the gravitational potential energy of an object depends on  mass of the object, gravitational field and height of the object.

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In a nuclear power plant, a 1.0 kg of water at 58.6 °C is converted into 1.0 kg of steam at 131.8 °C. The total heat (in kcal) supplied by the plant is: Use cwater = 1.00 kcal/(kg.°C), csteam = 0.48 kcal/(kg.°C), and Lv = 540.0 kcal/kg

Answers

The total heat supplied by the plant to convert the water to steam is 596.7 kcal.

What is heat capacity?

Heat capacity is the quantity of heat required to raise the temperature of entire mass of a substance.

Q = Heat supplied to the water to the boiling point + Heat supplied to vaporize the water.

Q = mc₁Δθ + mc₂Δθ + mLv

where;

m is the mass of the waterc₁ is specific heat capacity of waterc₂ is specific heat capacity of steamΔθ is change in temperatureLv is latent heat of vaporization

Substitute the given parameters and solve for the heat supplied in the process.

Q = (1)(1)(100 - 58.6) + (1)(0.48)(131.8 - 100)  + 540(1)

Q = 41.4 + 15.264 + 540

Q = 596.7 kcal

Thus, the total heat supplied by the plant to convert the water to steam is 596.7 kcal.

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