Engineers are using computer models to study train collisions to design safer
train cars. They start by modeling an elastic collision between two train cars
traveling toward each other. Car 1 is traveling east at 6 m/s and has a mass
of 3,154 kg, Car 2 is traveling west at 23 m/s and has a mass of 8,296 kg.
After the collision, car 1 has a final velocity of 7 m/s west. What is the final
velocity of car 2?
A. 18 m/s east
B. 23 m/s west
C. 23 m/s east
D. 18 m/s west
SUN

Answers

Answer 1

Answer:

18 m/s west

Explanation:

Answer 2

The correct option is C. 23 m/s east

What is  law of conservation of momentum ?

Conservation of momentum states that For two or more bodies in an isolated system acting upon each other, their total momentum remains constant unless an external force is applied. Therefore, momentum can neither be created nor destroyed.

using conservation of momentum

m1v1 + m2v2 = m1 v1' + m2 v2'

Given

m1 = 3154 kg

v1= 6m/s

m2 = 8296 kg

v2 = 23 m/s

v1' = 7m/s

v2' = ?

3154 * 6 + 8296 * 23 = 3154 * 7 + 8296 v2'

209732 - 22078 = 8296 v2'

187654 = 8296 v2'

v2' = 22.62 ≈ 23 m/s east

correct option is C. 23 m/s east

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Related Questions

wavelength = 5.4 cm and frequency = 9.4 Hz
What is the speed

Answers

v = f x λ = 9.4 x 0.054 = 0.51 m/s

What is the acceleration of the object if a 300-N force acting on a 25 kg object

Answers

Given parameters:

Force on the object = 300N

Mass of object  = 25kg

Unknown:

Acceleration  = ?

Solution:

According to Newton's second law of motion, force is a product of mass and acceleration.

   Force  = mass x acceleration

Input the parameters and solve for the acceleration;

         300  = 25 x acceleration

           Acceleration  = 12m/s²

The acceleration is  12m/s²

A block is attached to one end of a spring with the other end of the spring fixed to a wall. The block is vibrating horizontally on a frictionless surface. If the mass of the block is 4.0 kg, the spring constant is k

Answers

Complete Question

A block is attached to one end of a spring with the other end of the spring fixed to a wall. The block is vibrating horizontally on a frictionless surface. If the mass of the block is 4.0 kg, the spring constant is k = 100 N/m, and the maximum distance of the block from the equilibrium position is 20 cm, what is the speed of the block at an instant when it is a distance of 16 cm from the equilibrium position?

Answer:

The velocity is [tex]v = 0.6 \ m/s[/tex]

Explanation:

From the question we are told that

  The mass of the block is  m =  4.0 kg

  The spring constant is k =  100 N/m

  The maximum distance of the block from equilibrium position is  d = 20 cm =0.20 m

   The distance considered is  [tex]d_k = 16 \ cm = 0.16 \ m[/tex]

Generally the maximum energy stored in the spring is mathematically represented as

      [tex]E = \frac{1}{2} * k * d^2[/tex]

=>  [tex]E = \frac{1}{2} *100 * 0.2^2[/tex]

=>  [tex]E = 2.0 \ J[/tex]

Gnerally according to the law of energy conservation

   The energy maximum energy of  the spring = energy of  the spring at [tex]d_k[/tex] + energy of the block at [tex]d_k[/tex]

Here energy of the block at [tex]d_k[/tex] is mathematically represented as

        [tex]K_1 = \frac{1}{2} mv^2[/tex]

=>    [tex]K_1 = \frac{1}{2} * 4* v^2[/tex]

=>    [tex]K_1 = 2v^2[/tex]

Generally the energy of the spring at [tex]d_k[/tex] is mathematically represented as

      [tex]E_2 =\frac{1}{2} * k * d_k^2[/tex]

=>    [tex]E_2 =\frac{1}{2} * 100 * (0.16)^2[/tex]

=>    [tex]E_2 =1.28 \ J[/tex]

So

       [tex]2.0 = 1.28 + 2v^2[/tex]

=>    [tex]v = 0.6 \ m/s[/tex]

     

   

Electricity & Magnetism
4
Electricity can be used to produce powerful forces.
What type of energy is electricity converted to in an electromagnet?
A. sound energy
B.
heat energy
C. light energy
D. magnetic energy

Answers

The answer is A. Sound Energy

Pierce conducts an experiment in which waves collide in a way that the energy increases. What has occurred?

Answers

Answer:

The best and most correct answer among the choices provided by the question is the third choice. What he observed on the waves is the constructive interference. I hope my answer has come to your help. God bless and have a nice day ahead!

Explanation:

Answer:

Pierce conducts an experiment in which waves collide in a way that the energy increases. What has occurred?

refraction

reflection

constructive interference <<<---CORRECT

destructive interference

Explanation:

2021 EDGE

I will give you branilest!

A race car exerts 18,344 N while the car travels at an acceleration of 92.54 m/s2. What is the mass of the car? (Use the formula m=F/a)

Answers

the answer is 198.23

Force(f) = 18344 N

Acceleration(a) = 92.54 m/s²

we know that m=f/a

m=18344/92.54</p><p>

ma 198.23 kg

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I need help pls !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

figure d

Explanation:

PLZZZ HURRY!!! I will freind and make brainliest
What are the basic building blocks of matter?


electrons


atoms


molecules


compounds

Answers

Answer:

an atom

Explanation: atom then matter

Answer:

the basic building blocks that make up matter are called atoms.

A bus rolls to a stop along a horizontal road without the driver applying the brakes,
What answer choice BEST explains why this occurred?
A. The natural state of the bus is not to be in motion.
B. The bus ran out of momentum.
C. The force of gravity slowed the bus until it stopped.
D. The opposing force of friction stopped the train.

Answers

Answer:

should be d because friction allows things to go faster or slower

It’s opinion a I’m a 100%

can you describe your own perspective whats Physical Science all about? PLS GUYS HELP​

Answers

Answer:

Physical science is the study of the inorganic world. That is, it does not study living things.  The four main branches of physical science are astronomy, physics, chemistry, and the Earth sciences, which include meteorology and geology.

PLEASE HELP

Discussion: If you put something like a piece of cardboard between a magnet and an iron nail, the magnet still holds the nail in place, even though the magnet is not touching the nail Explain how that happens. Use the words induce, magnetic field, permanent magnet and temporary magnet in your response.​

Answers

The magnetic field is holding onto the nail that’s all I got

When a heavy football player and a light one run into each other, who exerts more force?

Answers

The light football player because he going against someone bigger than him

Answer:

When a heavy football player and a light one run into each other, does the lighter player really exert as much force on the heavy player s the heavy player exerts on the light one. Yes. The interaction between the two players, the force each exerts on the other have equal strength.

Explanation:

The nervous system has two distinct branches. They are the:

Answers

Answer:

central nervous system

peripheral nervous system

Explanation:

The nervous system has two main parts: The central nervous system is made up of the brain and spinal cord. The peripheral nervous system is made up of nerves that branch off from the spinal cord and extend to all parts of the body.Oct 1, 2018

Answer:

The central nervous system

The peripheral nervous system

Explanation:

The central nervous system (CNS) is the brain and spinal cord, and the peripheral nervous system (PNS) is everything else

The resultant force is equel to the.......of all the force


A) sum
B) product
C) subtraction
D) Division​

Answers

Answer:

A) sum

Explanation:

That's the answer bro

Answer:

the answer is C subtraction

A cheetah can run at a maximum speed
91 km/h and a gazelle can run at a maximum speed of 72.7 km/h.
If both animals are running at full speed,
with the gazelle 87.5 m ahead, how long before
the cheetah catches its prey?
Answer in units of s.

Answers

Answer:

Approximately 17.21 seconds

Explanation:

With subtraction, we have the gazelle 18.3 km/h slower than the cheetah, which is about 5.08333 m/s. As the gazelle is 87.5 meters ahead of the cheetah, 87.5 divided by 5.083333333 is about 17.21 seconds.

As part of a carnival game, a 5.00 kg target is freely hanging from a very long and very light wire. Contestants can use one of two 1.5 kg balls to try to hit the target and deflect it high enough to win a prize. Ball A will have an elastic collision and bounce back toward you while ball B will have a nearly perfectly inelastic collision, but rather than sticking to the target, the ball will just drop straight downward to the ground after the collision. You can throw each ball with a velocity of 12 m/s. You are the first to try the game and which ball should you throw? Calculate the expected height the target will reach after each is thrown.

Answers

Answer:

Height ball A will deflect the target is 2.65 m

Height ball A will deflectthe target is 2.2 m

Ball A, will deflect the target to greater height, thus i will throw ball A

Explanation:

Given;

mass of the target, m₁ = 5.00 kg

mass of the ball, m₂ = 1.5 kg

initial velocity of each throw, u = 12 m/s

Throwing ball A; apply the principle of conservation linear momentum for elastic collision;

m₁u₁ + m₂u₂ = v₁m₁ + v₂m₂

The initial velocity of the target, u₁ = 0

The ball bounced back at the same speed, v₂ = -12 m/s

the velocity of the target after collision, = v₁

0 + 1.5 x 12 = v₁(5) + (-12 x 1.5)

18 = 5v₁ - 18

18 + 18 = 5v₁

36 = 5v₁

v₁ = 36/5

v₁ = 7.2 m/s

The vertical height reached by the target is given by;

v₁² = u₁² + 2gh

v₁² = 0 + 2gh

v₁² = 2gh

h = v₁² / 2g

h = (7.2)² / (2 x 9.8)

h = 2.65 m

Throwing ball B; apply the principle of conservation energy for the inelastic collision;

the kinetic energy of the ball will be converted to the potential energy of the target.

¹/₂m₁u₂² = mgh

¹/₂(1.5)(12)² = (5 x 9.8)h

108 = 49h

h = 108 / 49

h = 2.2 m

Ball A will deflect  the target to greater height, thus i will throw ball A.

During a baseball game, a hitter strikes the ball with a bat. When this happens, the ball
and the bat exert a force on each other. Why does the ball accelerate away from the bat
more than the bat accelerates away from the ball?
a. The ball has less mass, so it exerts less force on the bat.
b. The bat exerts more force than the ball because the batter is exerting a force
on the bat as it hits the ball.
c. The ball has less mass, so the equal force on the ball and the bat causes
greater acceleration of the ball.
d. The ball has a greater velocity before the collision, so the force affects the ball
more than it affects the bat.

Answers

Answer:

The answer is c

Explanation:

A storm is moving east toward your house at an average speed of 35 km an hour if the storm is currently 80 km from your house and how much time do you expect it to arrive

Answers

Answer: 2 hours 17 minutes

Explanation: 80/35h = 16/7 = 2hrs 17 minutes

Which pairs of elements could not react to form an Ionic compound

Answers

Answer:

Sodium and calcium

Explanation:

Answer:

Ionic bond is the name given to one of the three ways in which atoms can interact with each other. The other forms of interaction between atoms are the covalent bond, which occurs between atoms of ametals, hydrogens, or ametal and hydrogen, and the metallic bond, which occurs only between atoms of the same metal.

Explanation

:The atoms of the chemical elements that participate in the ionic bond must present, necessarily, the nature of gaining or losing electrons, thus, the ionic bond can occur between:

a metal and an ametal;

a metal and hydrogen.

Sodium: metallic element, as it has the characteristic of losing electron; belonging to the IA family, atomic number 11, with an electron in the valence shell.

Chlorine: ametalic element, as it has the characteristic of gaining electrons; belonging to the VIIA family, with atomic number 17.

Which of the following are examples of
molecules? Check all that apply.
two carbon atoms bonded to each other
a carbon atom
a chain of one hundred carbon atoms bonded
to one another
a carbon atom bonded to an oxygen atom

Answers

Answer:

two carbon atoms bonded to each other

a chain of one hundred carbon atoms bonded to one another

a carbon atom bonded to an oxygen atom

two carbon atoms bonded to each other a carbon atom, a chain of one hundred carbon atoms bonded to one another, a carbon atom bonded to an oxygen atom all these are examples of molecules, therefore all the given options are the correct answer

What is a molecule?

The smallest component of a substance that still has its content and characteristics is called a molecule. It is constructed of two or more atoms connected by chemical bonds. Moles are the foundation of chemistry. Molecules are designated by their elemental symbol and a subscript indicating their atom count.

Atoms are the fundamental unit of an element. They consist of a nucleus and surrounding electrons. When an atom has an incomplete electron shell, it is said to have valence electrons. When two or more atoms come together to share outer shell valence electrons, a covalent bond is formed,

Since molecules include two carbon atoms bonded to each other, one carbon atom, a chain of hundred carbon atoms bonded to one another, and a carbon atom bonded to an oxygen atom, all of the suggested answers are correct.

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An archer shoots an arrow with vertical velocity of 10 m/s and horizontal velocity of
30m/s. What is the maximum height the arrow reaches?

Answers

Answer:

5.1 m

Explanation:

Given in the y direction:

v₀ = 10 m/s

v = 0 m/s

a = -9.8 m/s²

Find: Δy

v² = v₀² + 2aΔy

(0 m/s)² = (10 m/s)² + 2 (-9.8 m/s²) Δy

Δy = 5.1 m

(DUE IN FIVE MINUTES, QUICK)

Explain why your weight would change if you went to the moon, but your mass wouldn’t.

Answers

The moon's gravitation force is determined by the mass and the size of the moon. Since the moon has significantly less mass than the Earth, it will not pull objects toward itself at the strength that Earth will.

An unbalanced force of 23 N is applied to a 13 kg mass. What is the acceleration of the
mass?

Answers

Answer:

1.77 m/s^2

Explanation:

since it is unbalanced there must be net force(resultant force)

[tex]net \: force \: = accleration \: \times mass[/tex]

net force = 23N

mass = 13kg

a = x

x = 23/13

= 1.769...

approximately = 1.77 m/s^2

Add the following vectors:

(a) (12, 5) + (6, 3)
(b) (−3, 8) + (6, −2)
(c) (3, 8, −7) + (7, 2, 17)
(d) (a, b, c) + (d, e, f)

Answers

Answer:

a. (18,8)

b. (3, 6)

c. (10, 10, 10)

d. (a+d, b+e, c+f)

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A jet must reach a velocity of 75 m/s for takeoff. If the runway is
2100 meters long, what must the constant acceleration be?

Answers

Answer:

[tex]a=1.33\ m/s^2[/tex]

Explanation:

Given that,

Initialy, the jet is at rest, u = 0

Final velocity of the jet, v = 75 m/s

Distance, d = 2100 m

We need to find the acceleration of the jet. It is based on the concept of equation of kinematics. Using third equation of motion, w get :

[tex]v^2-u^2=2ad[/tex]

a is acceleration

[tex]75^2=2a\times 2100\\\\a=\dfrac{75^2}{2\times 2100}\\\\a=1.33\ m/s^2[/tex]

So, the acceleration of the jet is [tex]1.33\ m/s^2[/tex].


2) A boat travels 12.0 m while it reduces its velocity from 9.5 m/s to 5.5 m/s. What is the
boat's acceleration while it travels that distance?

Answers

Answer:

2.5m/s^2

Explanation:

Note that the boat is reducing its speed. It is having negative acceleration or deceleration.

V^2 = u^2 -2as ( minus sign is used because of speed is reduced)

Given that,

s = 12 m

v = 5.5 m/s

u = 9.5 m/s

a = (v^2 - u^2) ÷ (-2s)

a= ( 5.5^2 - 9.5^2) ÷ ( -2× 12)

a = 2.5 m/s^2

The acceleration of the boat is -2.5 m/s²

The given paramters;

distance traveled by the boat, d = 12 m

initial velocity of the boat, u = 9.5 m/s

final velocity of the boat, v = 5.5 m/s

The acceleration of the boat is calculated as;

[tex]v^2 = u^2 + 2as\\\\2as = v^2 - u^2\\\\a = \frac{v^2 - u^2}{2s} \\\\a = \frac{(5.5)^2 -(9.5)^2 }{2(12)} \\\\a = -2.5 \ m/s^2[/tex]

Thus, the deceleration of the boat is 2.5 m/s²

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The lungs are large organs which contain smaller, expandable sacs.
These sacs greatly increase the surface area of the lungs.
Why is a large surface area important to the function of the lungs? A. Large amounts of liquid wastes and fatty tissue must be stored in the lungs. B. Oxygen in air taken in by the lungs must move quickly through the lung tissue and into the blood. C. The lungs must be very sturdy and rigid so they cannot move. D. The lungs must be able to filter oxygen from water while the organism is swimming.

Answers

Answer:

B. It is B because without this much space for oxygen and blood to flow and go through, we would not survive.

Explanation:

a single frictionless roller coaster car of mass m=750 kg tops the first hill with speed v=15 m/s ar height h =40m as shown

1) Find the speed of the car at B and C

2) if mass m were doubled, would the speed at B increase, decrease, or remain the same?

Answers

1. The speed of the roller coaster car at point B and C: are 19.8 m/s and 0 m/s respectively.

2. If mass (m) of the roller coaster car were doubled, the speed at B would increase because energy is dependent on  the mass of an object.

Given the following data:

Mass of roller coaster car = 750 kgSpeed of roller coaster car = 15 m/sHeight = 40 meters

1. To find the speed of the roller coaster car at point B and C:

First of all, we would determine the potential energy of the roller coaster car by using the formula:

[tex]P.E = mgh[/tex]

Where:

m is the mass of object.g is the acceleration due to gravity ([tex]9.8\;m/s^2[/tex]).h is the height of an object.

From the diagram, height at point B = [tex]\frac{h}{2} = \frac{40}{2} = 20[/tex] meters

[tex]P.E = 750(9.8)(20)[/tex]

P.E = 147000 Joules.

Next, we would determine the speed by applying the law of conservation of energy.

[tex]Kinetic\;energy = Potential\;energy\\\\\frac{1}{2} mv^2 = mgh[/tex]

Substituting the values, we have;

[tex]147000 = \frac{1}{2} (750)v^2\\\\147000 = 375v^2\\\\v^2 = \frac{147000}{375} \\\\v^2 = 392\\\\v = \sqrt{392}[/tex]

Speed, v = 19.8 m/s

From the diagram, at point C, the speed is equal to zero (0) meters per seconds.

2. If mass (m) of the roller coaster car were doubled, the speed at B would increase because energy is dependent on  the mass of an object.

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Your car is initially at rest when your hit that gas and the car begins to accelerate at a rate of 2.857 m/s/s. The acceleration lasts for 15.5 s. What is the final speed of the car and how much ground does it cover during this acceleration?

Answers

Given parameters:

Initial velocity  = 0m/s

Acceleration  = 2.857m/s²

Time  = 15.5s

Unknown:

Final speed of the car = ?

Solution:

 We use one of the motion equations to solve this problem;

     V = U + at

  Where V is the final velocity

               U is the initial velocity

               a is the acceleration

                t is the time taken

    V = 0 + 2.857 x 15.5  = 44.28m/s

What are four metals other than iron that can be made to exhibit magnetic properties? Fill in the blank. Every magnet has _______ unlike poles. The _______ within a magnet lies between the north and south poles. If the north pole of a bar magnet is brought near the _______ pole of another magnet, the two magnets will repel one another. A material that’s attracted by a magnet but doesn’t necessarily become a magnet itself is called a/an _______ material.

Answers

Answer:

Four metals other than iron that can be made to exhibit magnetic properties are nickel, cobalt, manganese, and chromium.

two

neutral region

north

magnetic

Explanation:

PennFoster

The four metals other than iron that can be made to exhibit magnetic properties are:

NickelCobaltManganeseChromium.

Furthermore, the words which can be used to accurately complete the sentences below are:

Two Neutral region North Magnetic

The magnet has two unlike poles and in the neutral region, there is the South and North poles.

The North and South poles repel each other and a magnet can attract any material which contains iron materials.

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