Two trains traveling towards one another on a straight track are 300m apart when the engineers on both trains become aware of the impending Collision and hit their brakes. The eastbound train, initially moving at 97.0 km/h Slows down at 3.50ms^2. The westbound train, initially moving at 127 km/h slows down at 4.20 m/s^2. What is the distance between them once they stop (express your answer to the two significant figures)

Answers

Answer 1

Answer:

48 m

Explanation:

Two trains traveling towards one another on a straight track are 300m apart when the engineers on both trains become aware of the impending Collision and hit their brakes. The eastbound train, initially moving at 97.0 km/h Slows down at 3.50ms^2. The westbound train, initially moving at 127 km/h slows down at 4.20 m/s^2.

The eastbound train

First convert km/h to m/s

(97 × 1000)/3600

97000/3600

26.944444 m/s

As the train is decelerating, final velocity V = 0 and acceleration a will be negative. Using third equation of motion

V^2 = U^2 - 2as

O = 26.944^2 - 2 × 3.5 S

726 = 7S

S = 726/7

S1 = 103.7 m

The westbound train

Convert km/h to m/s

(127×1000)/3600

127000/3600

35.2778 m/s

Using third equation of motion

V^2 = U^2 - 2as

0 = 35.2778^2 - 2 × 4.2 × S

1244.52 = 8.4S

S = 1244.52/8.4

S2 = 148.2 m

S1 + S2 = 103.7 + 148.2 = 251.86

The distance between them once they stop will be

300 - 251.86 = 48.14 m

Therefore, the distance between them once they stop is 48 metres approximately.


Related Questions

A jogger runs 3 miles east then 7 miles west what is her displacement

Answers

Answer: 4 miles.

Explanation:

Let's use the rectangular coordinates (x,y)

And define:

East as the positive x-axis.

North as the positive y-axis.

We know that, if the jogger starts at the point (0mi, 0mi):

"Runs 3 miles East"

Then the new position is (3mi, 0mi)

"Then 7 miles west"

The new position is (3mi - 7mi, 0mi) = (-4mi, 0mi)

Now, the displacement is calculated as the difference between the initial position and the final position, and this can be written as:

D = I (-4mi, 0mi) - (0mi, 0mi)I = √( (-4mi - 0mi)^2 + (0mi - 0mi)^2) = 4mi

The total displacement is 4 miles.

A ball rolls at a speed of 6cm/s how far does the ball roll in 40 seconds ? ____cm

Answers

240 cm you do 6x 40 and should get 240cm

The difference between the two molar specific heats of a gas is 8000J/kgK. If the ratio of the two specific heats is 1.65, calculate the two molar specific heats.

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Answer:

sorry

Explanation:

pls search on google

PLEASE HELP BALANCED AND UNBALANCED FORCE QUESTION

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Answer:

YW

Explanation:

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5. While you're ice-skating with your friends, you push off from one end of
the rink and slide forward. Based on Newton's first law of motion, what
is true?
A. You will lose your balance and fall over before you reach the middle of
the ice rink
B. You will continue to slide across the ice until a force makes you stop or
change direction
C. The force of gravity will make you keep your velocity until your friends
make you stop
D. The size of your ice skates will determine how quickly or slowly you
travel across the ice
ype here to search

Answers

Answer:

B

Explanation:

Newton's 1st law of motion is anything that is at rest remains at rest and anything in motion remains in motion so you will continue to slide until you come into contact with the opposite wall or another force.

which term describes the energy an object has because of its motion? Potential Nuclear Kinetic Thermal

Answers

Answer:

The answer is Kinetic Energy

Explanation:

Kinetic energy is the term describes the energy an object has because of its motion. Option C is correct

What is kinetic energy?

The energy of the body by the virtue of its motion is known as the kinetic energy of the body. It is defined as the product of half of mass and square of the velocity.

KE =1/2mv²

Where,

m is the mass

KE is the kinetic energy

v is the velocity of the body

The word "kinetic energy" refers to the energy that an item possesses as a result of its motion.

Hence option C is correct.

To learn more about kinetic energy refer to the link;

https://brainly.com/question/999862

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Please help Its due in ten minutes

Answers

Here you go, hope this helps you.

In her dissertation research, a graduate student finds a correlation of +0.95 between two of the variables being studied. How should she interpret this correlation coefficient

Answers

Answer:

Explanation:

A correlation of +0.95 between two variables signifies a strong positive relationship between the two measured variables (the dependent and independent). The value is usylay called the correlation Coefficient (r) as it measures the level or degree of relationship or correlation between two measured linear variables. The value ranges between - 1 and +1 with + signifying a positive relationship (increase or decrease in one variable leads to corresponding increase or decrease in the other) while a negative correlation means (a decrease in A leads to increase in B and vice versa). A correlation Coefficient of 0 means no relationship and the strength of the relationship increases as the value approaches - 1 or +1.

Can someone please help me. I think it D but I wanna make sure kk and thank you What is the main purpose of an scientific investigation A) to persuade with bias B) to teach an lesson C) to form an opinion D) to test a hypothesis

Answers

Answer: I believe it to be D.

PLEASE HELP A car accelerates from rest at 2.92 m/s2 What is the velocity at the end of 5.1 s? Answer in units of m/s. What is the displacement after 5.1 s? Answer in units of m.

Answers

Answer:

first you have to organize the data. a=acceleration t=time v0=inicial velocity vf=final velocity

a=2.92m/s2

t=5.1s

vf=?

v0=0

now the formula you have to use is: vf=vi+a*t (final velocity equals to inicial velocity plus acceleration times time)

Explanation:

i was the best at my class, hope it helped

1) Describe the motions of the moon relative to the Earth and the sun. Explain how this causes us to see phases of the moon, and identify these phases by name.

Answers

Answer:

Explanation:

The moon is a natural satellite of the earth, which performs rotational and revolutionary motions simultaneously. As the earth rotates about its axis, the moon rotates round it. But revolves round the Sun, as the earth also revolves round the Sun.

The motion of the moon causes series of its phases. Some major phases of the moon are, new moon, 1st quarter, full moon, and 3rd quarter (last quarter).

Since the moon reflects the light from the Sun, the face of the moon reflecting the light from the Sun changes gradually with respect to its motion.

At new moon, the face of the moon reflect no light. But reflects 100% at full moon. While both 1st and 3rd quarters show partial reflections.

25 POINTS!! ANSWER CORRECTLY FOR BRANLIEST!

Which of the following statements describes an interaction between the atmosphere and biosphere?

Water and its vapor move through air.
Earth's internal heat warms the layer of air around it.
Oceans provide an environment for sustaining marine life.
Life is possible on Earth due to layers of air that surround it.

Answers

Answer:

the answer is probably most likely D first and if thats incorrect than its B

Hope it helps

a body has got its mass 100 kg .calculate it's weight​

Answers

Answer:

220.46 lbs

Multiply the mass by 2.205 for an approxinate result.

The answer is 220.462.

How to solve 5,897,159 milligrams into kilograms?

Answers

Answer:

5.897159 kilograms

Answer:

5.897159 kilograms

Explanation:

5,897,159÷1000000=5.897159

PLEASE HELP ANSWER THIS WORKSHEET IT'S DUE TODAY WILL GIVE BRAINLIEST BALANCED AND UNBALANCED WORKSHEET

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Answer:The net force for A. Is 2 and the resultant motion is up

B. NET force: 2 resultant motion: left

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C. Net force: 3 Resultant motion: Left

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D. Net Force: 7 Resultant motion: right

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E. Net Force:0 resultant motion: NO MOTION

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F. NET Force: 3 resultant motion: Down

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G. NET FORCE: 10 resultant motion: up

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H. Net force: 3 Resultant motion: left

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I. Net force: 50 Resultant motion: right

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J. NET FORCE: 75 Resultant motion: down

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K. Net force :200 Resultant motion: Right

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L. force: 0 resultant motion:No motion

Explanation:

Explain why the cyclist must be fed in order to continue to pedal? answer fast please​

Answers

The cyclist must be fed because he needs energy from the food he eats

The cyclist must be fed in order to continue to pedal because food will

provide him/her with energy to continue with it.

Cycling and other forms of activities involve the use of energy by the body ton perform them and the energy dwindles with time which is why we eat everyday to gain more energy.

The cyclist will have to eat foods such as carbohydrates so as to have more

energy to continue to pedal.

Read more on https://brainly.com/question/17404321

Does the horizontal distance d travelled by the ball depend on the height of release? If it does depend on the height, what is the mathematical relationship between the variables

Answers

Answer:

Explanation:

Yes , the horizontal distance travelled by the ball will depend upon the height of release .

When a ball is thrown at some angle from a height , it has two components , the vertical component and horizontal component . The ball goes in horizontal direction due to its horizontal component . Its vertical component has no role to play .  But the horizontal range covered by the body thrown

depends upon the duration of time in which it remains in air . The longer it remains in air , the greater distance it can cover horizontally .

Horizontal distance covered = t x horizontal velocity

If V be the velocity of throw and Vx be its horizontal component

Horizontal distance covered = t x Vx

Now t depends upon the height . If height rises , time of fall will increase so horizontal distance covered will increase .

If h be the height from which the body is thrown , Vy be the vertical upward component of initial velocity

from the relation

s = ut + 1/2 at²

h = - Vy t  + 1/2 at²

As h increases , t will increase and therefore horizontal distance covered will increase. If the ball has only  horizontal velocity initially , Vy = 0

h = 1/2 gt²

[tex]t = \sqrt{\frac{2h}{g} }[/tex]

Horizontal distance covered  = t x Vx

= [tex]\sqrt{\frac{2h}{g} } \times V_x[/tex]

From this expression also

Horizontal distance covered is proportional to [tex]\sqrt{h}[/tex] .

A car accelerates from rest to 90m/s in 3 seconds. What is the acceleration and how far did it travel?

Answers

Answer:

Explanation:

1.)acceleration= final velocity-initial velocity/time

90m/s-0m/s /3seconds

=30m/s^2

2.) distance= speed*time

90m/s*3seconds

=270m

Why water is not used as a thermometric liquid? ​

Answers

Answer:

Explanation:There are many reasons why water is not used as a thermometric liquid (or is less preferred), chief among which is its transparency. It is thus comparatively harder to make any readings with it. It also has a lower boiling and higher freezing point compared to most liquids.

A team of seven psychologist is study love, but each psychologist is working from a different perspective. In your opinion, what might each pyschologist stufy?

Answers

Answer:

- Behavioral Psychologists

- Psychodynamic Psychologist

- Biological Psychologist

- Cognitive Psychologist

- Evolutionary Psychologist

- Socio - Cultural Psychologist

- Humanist Psychologist

Explained in explanation section

Explanation:

There are different classes of psychologists but for the purpose of this question we need just 7 that would fit into the study of love. These 7 will be;

1) A behavioral Psychologist might study behaviors associated with love, such as hugging, caressing or kissing.

2) A psychodynamic psychologist might study how a people's challenges with love are caused by unmindful and unresolved conflicts.

3) A biological psychologist might study which chemicals in the brain such as dopamine make people feel loved. He might also study parts of the what parts of the brain are active when people are in love.

4) A cognitive psychologist might study how people's cognitive processes will change when they are in love.

5) An evolutionary psychologist might study how certain actions or behaviors associated with love provided our forefathers with sufficient knowledge to handle their love problems.

6) A sociocultural psychologist might study how people express love in in various cultures across the world.

7) A humanistic psychologist might study the behavior of those who feel most loved and the impact it has in their lives

Answer:

A psychodynamic psychologist might study how a person's problems with love are caused by unconscious, unresolved conflicts. A behaviorist might study observable behaviors associated with love, such as hugging or kissing. A cognitive psychologist might study how a person's cognitive processes change when one is in love.

What is the distance a bike travels at 38 km/he for 4.5 seconds?

Answers

Answer:

2.36m/s

Explanation:

first you have change 38km/hr into m/s

then divide your answer with 4.5

Yvette drops her cell phone as she is getting out of the truck one day she noticed that the cell phone fell 1.5m to the ground how fast was the phone moving right before hitting the ground

Answers

Answer:

The speed was 5.42 m/s

Explanation:

The height of fall of the phone s = 1.5 m

The phone was at rest in her hand, so the initial velocity u = 0 m/s

The velocity right before the phone strikes the ground v = ?

Using the equation

[tex]v^{2}[/tex] = [tex]u^{2}[/tex] + 2gs

where

g is the acceleration due to gravity = 9.81 m/s^2

substituting values, we have

[tex]v^{2}[/tex] = [tex]0^{2}[/tex] + 2(9.81 x 1.5)

[tex]v^{2}[/tex] = 29.43

v = [tex]\sqrt{29.43}[/tex] = 5.42 m/s

What is the unit measure for energy

Answers

Answer:

unit measure of energy is joule

Answer:

unit of energy measurement is joule

What part of physics are you looking forward to the most?

Answers

Answer:

all of it

Explanation:its cool

Under most conditions, except ________ change, the resistance of an object is a constant and does not depend on the amount of the voltage or the amount of current passing through it.

Answers

Answer:

Temperature change

Explanation:

If you are facing north, then east is to your

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East is to your left if you are facing north

Answer:

The real answer is right

Explanation:

The unit meters corresponds to what variable

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Do you have any options? My guess would be distance but I could be wrong.

Which of the following is a result of the transfer of energy?

- gravity
- matter
- magnetism
- sound

Answers

Answer: Sound

Explanation: it's asking which of the following is a result of transfer of energy and sound comes from vibrations

If a boat travels 20 km in 3 h due north, what is the boat’s average velocity?

Answers

Answer: 6.66666667 or 6.66 km per hour

Explanation: (velocity = distance÷time) or (v=d÷t)

name the fundamental units involved in pascal

Answers

Explanation:

Hey there!

Here,

Pascal is a unit of pressure.

[tex]pressure = \frac{f}{a} [/tex]

Now, As per the formula the units are:

kg, m and s^2.

Hope it helps...

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