A train mass of 2000kg and speed 35 m/s collides and sticks to an identical train that is initially at rest .After the collision (a) what is the final speed of the entangled system?
(b) what is the kinetitic energy of the system? compare the final kinetic energy to initial kinetic energy?

Answers

Answer 1

Answer:

The system would be moving at [tex]17.5\; \rm m \cdot s^{-1}[/tex].

The kinetic energy of this system would be [tex]612500\; \rm J \![/tex] after the collision.

[tex]612500\; \rm J[/tex] (same amount) of kinetic energy would be lost.

Explanation:

The momentum of an object is the product of its mass [tex]m[/tex] and its velocity [tex]v[/tex]. That is: [tex]p = m \cdot v[/tex].

Assume that external forces (e.g., friction) have no effect on this system.  The total momentum of this system would stay the same before and after the collision.

Initial momentum of this system:

Moving train: [tex]\begin{aligned}p &= m \cdot v \\ &= 2000\; \rm kg \times 35\; \rm m \cdot s^{-1} \\ &= 70000\; \rm kg \cdot m \cdot s^{-1}\end{aligned}[/tex].Since the other train wasn't moving before the collision, its initial momentum would be [tex]0[/tex].

Hence, the momentum of this system would be [tex]70000\; \rm kg \cdot m \cdot s^{-1}[/tex] before the collision.

Under the assumptions, the collision would not change the momentum of this system. Hence, the momentum of this system would continue to be [tex]70000\; \rm kg \cdot m \cdot s^{-1}[/tex] after the collision.

However, with two identical trains stuck to each other, the mass of this system would be twice that of just one train: [tex]m = 2 \times 2000\; \rm kg[/tex].

Calculate the new velocity of this system:

[tex]\begin{aligned} v &= \frac{p}{m}\\ &= \frac{70000\; \rm kg \cdot m \cdot s^{-1}}{2 \times 2000\; \rm kg} = 17.5\; \rm m\cdot s^{-1}\end{aligned}[/tex].

Calculate the kinetic energy of this system before and after the collision.

Before the collision:

[tex]\begin{aligned}& \text{KE(before)} \\ =\; & \text{KE(moving train)} + \text{KE(stationary train)}\\ =\; & \frac{1}{2} \, m(\text{one train}) \cdot (v(\text{moving train}))^{2} + 0 \\ = \; &\frac{1}{2} \times 2000 \times (35\; \rm m\cdot s^{-1})^{2} \\ = \; & 1225000\; \rm J \end{aligned}[/tex].

After the collision:

[tex]\begin{aligned}& \text{KE(after)} \\ =\; & \frac{1}{2} \, m(\text{two trains}) \cdot v^{2} \\ = \; &\frac{1}{2} \times (2\times 2000\; \rm kg) \times (17.5\; \rm m\cdot s^{-1})^{2} \\ = \; & 612500\; \rm J \end{aligned}[/tex].

Change to the kinetic energy of this system:

[tex]1225000\; \rm J - 612500\; \rm J = 612500\; \rm J[/tex].


Related Questions

hoW DO YOU SPELL THIS?

Answers

Answer:

Spell what?

Can u please mention that too?

Answer:

what

Explanation: how do you spell what please include this in your next post

Guys please help me ​

Answers

Answer:

1)[tex]t=2.26\: s[/tex]

2)[tex]S=33.9\: m[/tex]

3)[tex]v=26.77\: m/s[/tex]

4)[tex]\alpha=55.92[/tex]

Explanation:

1)

We can use the following equation:

[tex]y_{f}=y_{0}+v_{iy}t-0.5*g*t^{2}[/tex]

Here, the initial velocity in the y-direction is zero, the final y position is zero and the initial y position is 25 m.

[tex]0=25-0.5*9.81*t^{2}[/tex]

[tex]t=2.26\: s[/tex]

2)

The equation of the motion in the x-direction is:

[tex]v_{ix}=\frac{S}{t}[/tex]

[tex]15=\frac{S}{2.26}[/tex]

[tex]S=33.9\: m[/tex]

3)

The velocity in the y-direction of the stone will be:

[tex]v_{fy}=v_{iy}-gt[/tex]

[tex]v_{fy}=0-(9.81*2.26)[/tex]

[tex]v_{fy}=-22.17\: m/s[/tex]

Now, the velocity in the x-direction is 15 m/s then the velocity will be:

[tex]v=\sqrt{v_{x}^{2}+v_{fy}^{2}}=\sqrt{15^{2}+(-22.17)^{2}}[/tex]

[tex]v=26.77\: m/s[/tex]

4)

The angle of this velocity is:

[tex]tan(\alpha)=\frac{22.17}{15}[/tex]

[tex]\alpha=tan^{-1}(\frac{22.17}{15})[/tex]

[tex]\alpha=55.92[/tex]

Then α=55.92° negative from the x-direction.

I hope it helps you!

an object falls freely from rest the total distance covered by it in 2s will be​

Answers

Answer:

Distance, S = 19.6 meters

Explanation:

Given the following data;

Time = 2 seconds

We know that acceleration due to gravity is equal to 9.8 m/s².

Also, the initial velocity of the object is equal to zero because it's starting from rest.

To find the total distance covered by the object, we would use the second equation of motion;

[tex] S = ut + \frac {1}{2}at^{2}[/tex]

Where;

S represents the displacement or height measured in meters. u represents the initial velocity measured in meters per seconds. t represents the time measured in seconds. a represents acceleration measured in meters per seconds square.

Substituting into the equation, we have;

[tex] S = 0*2 + \frac {1}{2}*(9.8)*2^{2}[/tex]

[tex] S = 0 + 4.9*4[/tex]

[tex] S = 4.9*4 [/tex]

Distance, S = 19.6 meters

Therefore, the total distance covered by the object is 19.6 meters.

63 km/h is equal to...
O a) 27.5 m/s
b) 18 m/s
c) 1.75 m/s
d) 1.8 m/s
please hurry

Answers

Answer:

17.5 m/s

Explanation:

Refer to the attachment!~

plsss help me
thank you very much

Answers

It’s not loading. My bad

What is air

A. A Buchner substance
B. A compound
C. An element
D. A mixture

Answers

D. A mixture (mark brainliest)

Air is classified as a mixture. Option D is the correct answer.

Air is a combination of different gases, primarily nitrogen (about 78%), oxygen (about 21%), and small amounts of other gases such as carbon dioxide, argon, and trace elements. These gases are not chemically bonded to each other, but rather exist together in the same space. Option D is the correct answer.

In a mixture, the substances involved retain their individual properties and can be separated by physical means. This is true for air as well. The gases in air can be separated through processes like fractional distillation or filtration. It's important to note that air also contains other components such as water vapor, dust particles, and pollutants, which can vary in concentration depending on the location and environmental conditions. These components further contribute to the complex nature of air as a mixture.

Learn more about Air here:

https://brainly.com/question/636295

#SPJ2

2. When you increase your speed from 35 mph to 70 mph, the force of impact you experience will be increased: A. 2 times B. 4 times C. 5 times D. 7 times​

Answers

you just have to divide 35 and 70, the answer is A. 2 times

When you increase your speed from 35 mph to 70 mph, the force of impact you experience will be increased 4 times.

Hence, the correct option is B.

The force of impact in a collision is directly proportional to the square of the velocity. When the speed is doubled (increased from 35 mph to 70 mph), the force of impact will increase by a factor of four ([tex]2^2[/tex]). This is a fundamental concept in physics known as the kinetic energy formula, which is given by:

Kinetic Energy = (1/2) * mass * [tex]velocity^2[/tex]

Since kinetic energy is directly proportional to the square of velocity, doubling the speed results in four times the kinetic energy and, consequently, four times the force of impact.

Therefore, When you increase your speed from 35 mph to 70 mph, the force of impact you experience will be increased 4 times.

Hence, the correct option is B.

To know more about speed here

https://brainly.com/question/17661499

#SPJ2

A uniform electric field is oriented in the −x direction. The magnitude of the electric field is 6500 N/C. How will the equipotential surfaces associated with this electric field be oriented?

Answers

A uniform electric field is an electric field having all of it's lines parallel to each other and of constant magnitude.

12) A negatively-charged balloon touching a wooden wall
A) pulls positive charge on the wall surface toward it.
B) pushes negative charge in the wall away from it.
C) polarizes molecules in the wall.
D) all of the above.

Answers

Answer:

D) all of the above.

Explanation:

First polarises it, cahrging and discharging occurs at once.

A negatively charged balloon touching a wooden wall then from the given options option D is correct which is all of the above.

What is a charge?

Charged matter experiences a force when it is exposed to an electromagnetic field due to the physical property of electric charge. Positive or negative charges can exist in an electric field (commonly carried by protons and electrons, respectively).

Contrary charges attract one another, while like charges repel one another. A neutral object is one that carries no net charge. Classical electrodynamics, the name given to an early understanding of how charged particles interact, is still accurate for issues that do not call for taking into account quantum phenomena.

In the first step it polarizes molecules in the wall, then charging and discharging in the wall will take place at once.

To get more information about Charge :

https://brainly.com/question/19886264

#SPJ2

Một mol khí đang ở điều kiện tiêu chuẩn thì bị nén váo một bình 5 lít. Nhiệt độ khí trong bình là 770 C. Tính áp suất khí?

Answers

Đáp án:

 p=5,74atm

Giải thích các bước giải:

áp suất khí là:

pV=nRT⇒p=nRTV=1.0,082.(77+273)5=5,74atmpV=nRT⇒p=nRTV=1.0,082.(77+273)5=5,74atm

p=5,74atm

Giải thích các bước giải:

áp suất khí là:

pV=nRT⇒p=nRTV=1.0,082.(77+273)5=5,74atmpV=nRT⇒p=nRTV=1.0,082.(77+273)5=5,74atm

An object produces a sound wave with a wavelength 75.0cm. if the speed of sound is 350.0m/s, the frequency of the sound is

Answers

Answer:

wavelength=75.0

speed of sound(v)=350 .0m/s

frequency(f)=?

we know,

v=f*wavelengh

350.0 =f*750

f. =350/75

=4.667

pls mark me brainlest

The first and second coils have the same length, and the third and fourth coils have the same length. They differ only in the cross-sectional area. According to theory, what should be the ratio of the resistance of the second coil to the first coil and the fourth coil to the third

Answers

Answer:

The ratio of the resistances of second coil to the first coil is the ratio of square of radius of the first coil to the square of radius of  second coil.

And

The ratio of the resistances of fourth coil to the third coil is the ratio of square of radius of the third coil to the square of radius of  fourth coil.

Explanation:

The resistance of the coil is directly proportional to the length of the coil and inversely proportional to the area of coil and hence inversely proportional to the square of radius of the coil.

So, the ratio of the resistances of second coil to the first coil is the ratio of square of radius of the first coil to the square of radius of  second coil.

And

The ratio of the resistances of fourth coil to the third coil is the ratio of square of radius of the third coil to the square of radius of  fourth coil.

A(n) 60.9 kg astronaut becomes separated
from the shuttle, while on a space walk. She
finds herself 36.5 m away from the shuttle
and moving with zero speed relative to the
shuttle. She has a(n) 0.928 kg camera in her
hand and decides to get back to the shuttle
by throwing the camera at a speed of 12 m/s
in the direction away from the shuttle.
How long will it take for her to reach the
shuttle? Answer in minutes.
Answer in units of min.

Answers

Answer:

m v = M V  conservation of momentum after  throwing camera

V = m * v / M =   .928 * 12 / 60.9 = .183 m/s

t = S / V = 36.5 / .183 = 199 sec = 3.32 min

CR Physical Science B (GP) 20-21 / 1 Motion
1. A distance-time graph indicates that an object travels 2 m in 2 s and then travels another 80 m during the next 40 s.
What is the average speed of the object?
O 4 m/s
O
2 m/s
O 8 m/s
10 m/s

Answers

Answer:

Average speed = total distance traveled / total time traveled

V = (2 + 80) / (2 + 40) = 82 / 42 = 2 m / s

The brachialis attaches to the forearm .035 m from the elbow at an angle of 32 deg. If the brachialis produces 750 N of force, what is the magnitude of the stabilizing component of the brachialis force

Answers

Answer:

[tex]XY=636N[/tex]

Explanation:

From the question we are told that:

Distance [tex]d=0.35m[/tex]

Angle [tex]\theta=32\textdegree[/tex]

Force [tex]F=750N[/tex]

Generally the equation for magnitude of the stabilizing component of the brachialis force is mathematically given by

 [tex]XY=Fcos\theta[/tex]

 [tex]XY=750cos 32\textdegree[/tex]

 [tex]XY=636N[/tex]

How bullet train and a circuit breaker work on the magnet effect of current

Answers

Mark Brainliest please

Bullet trains

Bullet trains are also called Maglev trains, as they work with the help of powerful electromagnets which make them high speed trains, electromagnets are attached to the metal lining of track,large magnets are present inside the train they work on the principal that like poles repel and unlike poles attract. Circuit breakers it is a device which cuts the power when when there is too much current flowing through the circuits,they are also called fuses, they work with the help of electromagnet to cut the circuit and rejoin.

Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/68150-how-bullet-train-and-circuit-breaker-work-on-the-magnetic-effect.html

kinetic energy of an object is quadrupled, momentum will change by what factor?

Answers

Answer:

So as KE becomes 4times , Momentum will increase by 2 times.

concave mirror daily application​

Answers

Answer:

concave mirror use in headlights and torches

Explanation:

Concave mirrors are used in headlights and torches. The shaving mirrors are also concave in nature since these mirrors can produce enlarged clear images. Doctors use concave mirrors as head mirrors to have a clearer view of eyes, noses, and ears. The dental mirrors used by dentists are also concave.

Which best describes velocity?

A. 15 miles an hour
B. 15 miles an hour going west.
C. Speeding up from 10 to 15 miles an hour.
D. Going 15 miles an hour for 2 hours.

Answers

Answer:

B. 15 miles an hour going west

A 2.5-kg rock is dropped off a 32-m cliff and hits a spring, compressing it 57 cm. What is the spring constant? Round your answer to two significant figures.

The spring constant, k, is
StartFraction N over m EndFraction.

Answers

Answer: 4800 N/m

Explanation:

Given

mass of rock [tex]m=2.5\ kg[/tex]

Height of cliff [tex]h=32\ m[/tex]

compression in the spring [tex]x=57\ cm[/tex]

Here, potential energy is converted into kinetic energy which in turn converts to elastic potential energy of the spring

[tex]\Rightarrow mgh=\dfrac{1}{2}kx^2\\\\\Rightarrow k=\dfrac{2mgh}{x^2}\\\\\Rightarrow k=\dfrac{1568}{0.3249}\\\\\Rightarrow k=4826.100\approx 4800\ N/m[/tex]

Answer:

480

Explanation:

2021

The extension produced on the wire by the application of 300 N force is 2 mm. The elastic energy stored on the wire is​

Answers

Answer:

150000 is the answer to the question

Which of these hazmat products are allowed in your FC?
Please choose all that apply.
A GPS unit (lithium batteries)
A subwoofer (magnetized materials)
A can of hairspray (flammable/aerosols)
Fireworks (explosives)

Answers

Answer: Hazmat products are allowed in your FC are:

A GPS unit (lithium batteries) A subwoofer (magnetized materials)

Explanation:

Hazmat products consist of flammable, corrosive and harmful substances which are actually very hazardous to human health and environment.  

Hazardous material allowed in FC are as follows.

Magnetized material products like as speakers.Non-spillable battery products like toy cars.Lithium-ion battery containing products like laptops, mobile phones etc.Non-flammable aerosol.

So, hazmat allowed products are GPS unit (lithium batteries) and subwoofer (magnetized materials).

Thus, we can conclude that hazmat products are allowed in your FC are:

A GPS unit (lithium batteries) A subwoofer (magnetized materials)

A jet is circling an airport control tower at a distance of 15.8 km. An observer in the tower watches the jet cross in front of the moon. As seen from the tower, the moon subtends an angle of 9.21x10-3 radians. Find the distance traveled (in meters) by the jet as the observer watches the nose of the jet cross from one side of the moon to the other.

Answers

Answer:

The Distance traveled (in meters) by the jet as the observer watches the nose of the jet cross from one side of the moon to the other.

=145.5m

Explanation:

The radius of the circling jet r = 15.8km = 15.8*10^3 m

the angle subtended by moon

θ = 9.21*10^-3 rad

Therefore, the distance traveled by jet is

s = rθ

= (15.8*10^3 m)(9.21*10^-3 )

= (15,800)(0.00921)

=145.5m

What is the change in internal energy if 70 J of heat is added to a system and
the system does 30 J of work on the surroundings. Uze al-Q-W.
O A. 40 J
O B. -40.3
O C. 100.
D. -1003

Answers

Answer:

A. 40 J

Explanation:

Given;

heat added to the system, Q = 70 J

work done by the system, W = 30 J

The change in the internal energy of the system is calculated using the first law of thermodynamic as shown below;

ΔU = Q - W

ΔU = 70 J - 30 J

ΔU = 40 J

Therefore, the  change in the internal energy of the system is 40J

The spring in the figure has a spring constant of 1400 N/m . It is compressed 17.0 cm , then launches a 200 g block. The horizontal surface is frictionless, but the block's coefficient of kinetic friction on the incline is 0.210.
What distance d does the block sail through the air?

Answers

Use the work-energy theorem to find the velocity of the block when it's released by the spring. The work done by the spring on the block as it's restored to equilibrium is

W = 1/2 kx ²

where k is the spring constant and x is the compression of the spring. So

W = 1/2 (1400 N/m) (0.170 m)² = 20.23 J

This is equal to the block's change in kinetic energy ∆K,

W = ∆K

and since it starts from rest, the initial K is zero, leaving us with

W = 1/2 mv ²

where m is the mass of the block and v is its speed, so that

20.23 J = 1/2 (0.200 kg) v ²

==>   v ≈ 14.2 m/s

The block slides at this speed across the frictionless surface until it hits the incline which introduces friction.

First, you need to find the length of the incline. It forms a 45° angle, and the underlying 45°-45°-90° triangle has a hypotenuse of length √2 (2.0 m) ≈ 2.83 m.

Next, you need to find the total work done on the block as it slides up the incline. Use Newton's second law to examine the forces acting on the block during this phase:

• the net force acting on the block in the direction perpendicular to the incline is

F = n - mg cos(45°) = 0

where n = mg cos(45°) ≈ 1.39 N is the magnitude of the normal force and mg cos(45°) ≈ 1.39 N is the perpendicular component of the block's weight;

• the net force acting on the block parallel to the surface is

F = -f - mg sin(45°) = ma

where f = µn = 0.210n ≈ 0.291 N is the magnitude of kinetic friction, mg sin(45°) ≈ 1.39 N is the parallel component of the weight, and a is the acceleration of the block.

Only the parallel forces do work on the block, and this work is negative because friction and weight oppose the block's sliding up the incline. The total work done on the block is then

W = (-0.291 N - 1.39 N) (2.83 m) ≈ -4.74 J

Use the work-energy theorem again to find the block's new speed v at the top of the incline:

W = ∆K

==>   -4.74 J = 1/2 (0.200 kg) v ² - 1/2 (0.200 kg) (14.2 m/s)²

==>   v ≈ 12.4 m/s

And now this becomes a projectile problem. The block travels a horizontal distance x after being launched at an angle of 45° with initial speed 12.4 m/s after time t according to

x = (12.4 m/s) cos(45°) t

Its height y from the 2.0 m-high surface at time t is given by

y = (12.4 m/s) sin(45°) t - 1/2 gt ²

The block lands on the surface when y = 0, which occurs after t ≈ 1.79 s, at which point the block has covered a distance d15.7 m.

The block sail through the air at the distance of "15.8 m"

Given:

Spring constant,

1400 N/m

Mass,

200 g

Block's coefficient,

0.210

By using Work energy theorem, we get

→ [tex]W_{spring}+W_g+W_f = KE_f-KE_i[/tex]

By substituting the values, we get

→ [tex]\frac{1}{2}\times 1400\times (0.17)^2- (0.2\times 9.8\times 2)-(0.21\times 0.2\times \frac{9.8}{\sqrt{2} }\times \sqrt{2}\times 2 )= \frac{1}{2}\times 0.2\times V_f^2[/tex]

here,

[tex]V_f = 12.44 \ m/s[/tex]

→ [tex]d = \frac{V_f^2 Sin 2 \Theta}{g}[/tex]

     [tex]= \frac{(12.44)^2 Sin 90^{\circ}}{9.8}[/tex]

     [tex]= 15.8 \ m[/tex]

Thus the answer above is right.  

Learn more:

https://brainly.com/question/13884105

How high can water be theoretically lifted by a vacuum pump at sea level?

A) less than 10.3 m
B) 10.3 m
C) more than 10.3 m

Answers

Explanation:

everything can be found in the picture

If you wanted to know how much the temperature of a particular piece of material would rise when a known amount of heat was added to it, which of the following quantities would be most helpful to know?

a. coefficient of linear expansion
b. specific heat
c. initial temperature
d. thermal conductivity
e. density

Answers

Answer:

Option (b) is correct.

Explanation:

The amount of heat required to raise the temperature of substance of mass 1 kg by 1 degree C, is called specific heat of the substance.

The formula of the specific heat is

H = m c (T' - T)

where, m is the mass, c is the specific heat and T' - T is the change in temperature.

So, to know the rise in temperature, by adding the known amount of heat, the specific heat is required.

So, option (b) is correct.

A temperature of 200 degrees Fahrenheit is equivalent to approximately A.93.3 degrees Celsius B. 232 degrees Celsius C. 37.8 degrees Celsius D. 840 degrees Celsius

Answers

Answer:

you can use G.oogle for this question.

Answer:

93.3 degrees Celsius.

Explanation:

44. Water from a fire hose knocks over a wooden shed. Compared with the pressure within the water, the pressure exerted against the shed is

a) less.
b) the same.
c) more.
d) nonexistent.

Answers

b i think sorry if it’s wrong

planet smaller than earth but larger than mercury​

Answers

Answer:

venus......................

Other Questions
Show that the set is linearly dependent by finding a nontrivial linear combination of vectors in the set whose sum is the zero vector. (Use s1, s2, and s3, respectively, for the vectors in the set.) S = {(3,4),(1,1),(2,0)} What is the slope of the line shown in the graph?A coordinate plane is shown with points graphed at 2 comma 2 and 0 comma 1. The points are joined by a line. 2 1 1 over 2 1 over 2 Find the surface area of the triangular prism. ______ square centimeters The measures, in degrees, of the three angles of a triangle are given by 2x+1, 3x - 3, and 9x. What is themeasure of the smallest angle? I dont know, please answer it Is brown sugar healthier then white sugar? What is the highest common factor of 65 and 56? Given that average speed is distance traveled divided by time, determine the values of m and n when the time it takes a beam of light to get from the Sun to the Earth (in s) is written in scientific notation. Note: the speed of light is approximately 3.0108 m/s. Enter m and n, separated by commas. In "The Nose" by Nikolai Gogol, which statement is a piece of leads you to infer that Ivan Jakovlevitch is often blamed for things that are not his fault? Find the discriminant and the number of real roots for this equation. x^2 + 2x + 8 = 0 A. -28; no real roots B. 32; one real root C. 32; two real roots D.-28; one real roof what are primary miniral nutrient in plant grawth In the triangle below, what is the measure of Z?A. 90B. 7C. 65D. 50 Which expression is equivalent to 5y^-3 select the correct text in the passage. Which words and phrases show that the passage is a reliable source? Jason works 22 hours a week and has a pre-tax paycheck of $660 per week. Last week he had to work 34 hours, how much will his pre-tax paycheck be? Which of the following describes the reaction of the townspeople when they arrive at the train station in Auschwitz?A. We must revolt."B. "It was imperative to stay together.C. "We were alone."D. "Nobody had ever heard that name. () ? A late preterm newborn is being prepared for discharge to home after being in the neonatal intensive care unit for 4 days. The nurse instructs the parents about the care of their newborn and emphasizes warning signs that should be reported to the pediatrician immediately. The nurse determines that additional teaching is needed based on which parental statement?a. "If our newborn's skin turns yellow, it is from the treatments and our newborn is okay."b. "If our newborn does not have a wet diaper in 12 hours, we will call our pediatrician."c. "We will let the pediatrician know if our newborn's temperature goes above 100.4F (38C)."d. "We will call 911 if we start to see that our newborn's lips or skin are looking bluish." 50 PointsWritten ResponsesWhat does Anne Frank learn about herself during her time in the Annex? What can readers learn about human nature--or people in general--by reading Anne Frank's diary? What drove Anne to continue keeping a diary throughout her time in the Annex? Did her reasons change? How would describe Anne Frank's personality? What events or details provide the strongest clues? What importance does Anne Frank's diary have now? What can today's readers learn from it? what are the different types of fossil