A 29000-kg open railroad car, initially coasting at 0.825 m/s with negligible friction, passes under a hopper that dumps 117500 kg of scrap metal into it.

a)What is the final speed, in meters per second, of the loaded freight car?
b)How much kinetic energy is lost, in joules, when the freight car receives this scrap metal? Ignore the free-fall kinetic energy of the scrap metal.

Answers

Answer 1

Answer:

a) Answer: 0.16331 m/s

b) Answer: 8522.66 joules

Explanation:

Answer 2

The final speed is  0.1633 m/s.

When the freight car receives this scrap metal, 7915.72 Joule kinetic energy is lost.

What is momentum?

A body has momentum while it is moving, according to our understanding. It is said that a body's momentum is equal to the sum of its mass and speed. A body's direction is important when discussing momentum. Its direction belongs to the body's direction of motion.

(a) Given parameter:

Mass of the railroad car, M = 2900 Kg.

Mass of the scrap metal, m= 11750 Kg.

Initial speed of the car, u = 0.0825 m/s.

Initial speed of the scrap metal = 0 m/s.

Final speed of the system, v = ?

Then, initial momentum of the  system = initial momentum of the car +  initial momentum of the scrap metal .

= (29000×0.825 + 117500×0) kg.m/s.

= 23925 kg.m/s.

Final momentum of the system = total mass of the system× final speed

= (29000 + 117500)× v kg.m/s

= 146500v kg.m/s.

Hence, from principle of conservation of momentum,

initial momentum of the  system = Final momentum of the system

⇒ 23925 = 146500v

⇒ v = 0.1633 m/s.

The final speed of the  loaded freight car is 0.1633 m/s.

(b) Lost in kinetic energy = initial kinetic energy of the car - final kinetic energy of the loaded car.

= 1/2*29000*0.825² -1/2*(29000 + 117500)* 0.1633² Joule.

= 7915.72 Joule.

Hence, 7915.72 Joule kinetic energy is lost in this process.

Learn more about momentum here:

https://brainly.com/question/24030570

#SPJ2


Related Questions

Which sense is used to determine whether an object is something you might want to eat?

smell

sight

taste

all of the above

Answers

Answer: D, All of the above!

Explanation:

I just helped my daughter with this test and it was correct!! Good luck !!

Part IV Objects on an incline w/ Tension + Friction
1. A small 63 kg sleigh is pulled by a rein attached to horse up a 15'angle hill to the
horizontal. The tension of the rein is 510 N. The coefficient of kinetic friction is
0.25
a. What is the normal force that the sleigh exerts on the hill?
b. What are the magnitude and direction of the sleigh's acceleration?

Answers

(a) The normal force on the sleigh is 596.36 N.

(b) The magnitude and direction of acceleration of the sleigh is 3.2 m/s² upwards.

The given parameters;

mass of the sleigh, m = 63 kginclination of the hill, θ = 15⁰tension on the rein, F = 510 Ncoefficient of friction, μ = 0.25

The normal force on the sleigh is calculated as follows;

[tex]F_n = mg \times cos(\theta)\\\\F_n = 63 \times 9.8 \times cos(15)\\\\F_n = 596.36 \ N[/tex]

The magnitude and direction of acceleration of the sleigh is calculated as follows;

[tex]\Sigma F= ma\\\\F - mgsin(\theta) - F_f = ma\\\\F - mgsin(\theta) - \mu F_n = ma\\\\510\ - \ 63 \times 9.8 \times sin15 \ -\ 0.25\times 596.36 = 63a\\\\201 .11 = 63a\\\\a = \frac{201.11}{63} \\\\a = 3.2 \ m/s^2 \ upwards[/tex]

Learn more here:https://brainly.com/question/19133846

Hãy giải thích sự phát âm của cái sáo khi thổi vào nó

Answers

Giải thích các bước giải:

Âm phát ra từ cái sáo khi thổi là do:

-Không khí ngoài ống sáo chuyển động và phát ra âm thanh.

-Thân sáo chuyển động và phát ra âm thanh.

-Thân sáo dao động và phát ra âm thanh.

-Cột không khí trong ống sáo dao động và phát ra âm thanh.

If someone were to be researching and studying similarities between our sun and a neighboring star, what kind of scientific investigation would they be conducting

Answers

Answer:

a

Explanation:

because there both in the solar system

There are billions of galaxies in the universe and each contains trillions of stars which are different in size, distance from the earth, brightness etc.When we scientifically investigate about this we can obtain the stars of similarity to sun in brightness and size.

What is galaxies?

Galaxies are a group of stars, dust and dark matter joined together by the force of gravitation. Three trillions of stars in each galaxies. Some stars forms a group of certain  size and shape and number also they are called constellations.

Sun is the closest star to earth. Thus sunlight is the major source of energy in earth. Sunlight reaches the earth surface within a time of 8 minute and 6 seconds.

The star which nearest to sun is named proximacentory which far from the earth and we can see it as spot of light in the sky. There are many more stars which are giants are more brighter than sun.

The brightness and luminosity is determined based on the distance from the earth. Which can be calculated in terms of light years. Each star has an age and length of life. After that the star may die still their light energy can be seen in sky because their light takes more years to reach here.

To find more on stars, refer the link;

https://brainly.com/question/21521087

#SPJ5

An object's inertia causes it to come to a rest position.

Answers

Answer:

no

Explanation:

the inertia of an object does not make it to come to rest, this is normally caused by friction

The best evidence for dark matter in the milky way comes from the observation that the rotation curve

Answers

It’s quite flat at great distance from the center

A block with initial velocity of 3 m/s slides 9 m across a rough horizontal surface before coming to rest. What is the coefficient of kinetic
friction?

Answers

The coefficient of kinetic friction between the block and the horizontal surface is 0.051.

The given parameters;

initial velocity, u = 3 m/sdistance traveled by the block, s = 9 m

The acceleration of the block is calculated as follows;

[tex]v^2 = u^2 + 2(-a)s\\\\v^2 = u^2 - 2as\\\\a = \frac{u^2 - v^2}{2s} \\\\a = \frac{3^2 - 0^2}{2\times 9} \\\\a =0.5 \ m/s^2[/tex]

The coefficient of kinetic friction between the block and the horizontal surface is calculated as follows;

[tex]\mu_k mg = ma\\\\\mu_k = \frac{a}{g} \\\\\mu_k = \frac{0.5}{9.8} \\\\\mu_k = 0.051[/tex]

Learn more here:https://brainly.com/question/19454558

What is electromagnetic force and how does it work and what it does??

Answers

Answer:

Explanation:

The electromagnetic force, also called the Lorentz force, acts between charged particles, like negatively charged electrons and positively charged protons. Opposite charges attract one another, while like charges repel. The greater the charge, the greater the force.

List examples of how the Bill of Rights protects you:
.
.
.
.
.

Answers

guaranteeing freedom of speech, press, assembly, and exercise of religion

Find the acceleration if the force is 10 N and the mass is 5000 g.

Answers

Answer:

If the force is 10N and mass is 5000G, then a=2m/s2

Explanation:

F=10N

m=5000

g=5kg

a=10N/ 5kg

and finally; a= 2m/s2

what is the full meaning of hip​

Answers

Answer:

History in Perspective (education) HIP. Health Information Professional. HIP.

Explanation:

hope this helps

What do scientists call a substance that contains atoms from two or more different elements that are chemically bonded?

Atom
Compound
Element
Molecule

Answers

Answer is b compound is a substance that contains two or more elements chemically combined in a fixed proportion. The elements carbon and hydrogen combine to form many different compounds.

I'LL MARK YOU BRAINLIST!!
ali starts moving his car from rest and accelerates it at 5 m/s^2 over 8 seconds. what is the velocity of ali's car reached by the end of these 8 seconds ?

Answers

Explanation:

u=0, v=?, a=5m/s², t=8sec

So, by the formula,

v=u+at

v=0+5×8

v=40m/s.

hope this helps you .

true and false? When an object remains stationary, any forces acting on it must be balanced.

Answers

Answer:

Balanced forces acting on a stationary object cause the object to remain at rest. True: Forces can give energy to an object it acts on causing the object to change it state of motion. If forces acting on an object are balanced, they do not cause a change in motion.

Answer:

False

Explanation:

It is NOT possible for just three forces to be acting upon an object and they still balance each other. A free-falling object experiences a balance of forces.

. The gas in a piston (defined as the system) warms and absorbs 655 J of heat. The expansion performs 344 J of work on the surroundings. What is the change in internal energy for the system

Answers

The change in the internal energy for the system is 311 J

The change in internal energy for the system will be the difference between the heat absorbed and the work expansion from the surroundings.

i.e.

ΔU = Q + W

where;

internal energy = Uheat absorbed = Qworkdone on surroundings = -W

ΔU = ( 655 J + ( - 344 J) )

ΔU = 311 J

Learn more about change in internal energy for the system here:

https://brainly.com/question/20920764?referrer=searchResults

What does the state of matter of an object depend on?

type of molecules

size of molecules

speed of molecules

number of molecules

Answers

The answer is: C - speed of molecules

Explanation:

A substance's state of matter — solid, liquid, gas, or plasma — depends on how its molecules move and maintain their volume and shape.

based on what you know about the location in relation to the sun why is this called the goldilock zone in other galaxies

Answers

Answer: It's an area that's an optimal distance from the sun for potentially supporting  life

if the amplitude of a sound wave is tripled, the intensity will:

Answers

Answer:

Increase 9 times

Explanation:

Any vector can be expressed as the sum of two components, usually
referred to as what?

Answers

Two vectors can be added together to determine the result (or resultant). ... computing the vector sum of all the individual forces acting upon that object.

i hope u understand

A flea sits on the edge of a classic record album that is making 1 revolution in 0.56s. The flea is 0.20m from the center of the record
a. what is the fleas velocity?
b. What is the fleas centripetal acceleration?

Answers

Hi there!

We can begin by finding the angular velocity using dimensional analysis:

[tex]\frac{1 rev}{0.56 s} * \frac{2\pi rad}{1 rev} = 11.22 rad/sec[/tex]

(A)

Find the flea's velocity using the following relationship:

v = ωr

v = (11.22)(0.20) = 2.24 m/s

(B)

Centripetal acceleration is given by:

a = ω²r

a = (11.22²)(0.20) = 25.18 m/s²

With an average velocity of 8.3 m/s, what is the displacement (including its sign) of a sled during a straight run of 12 s?

Answers

Answer:

this question makes no sense with out a reference point or direction.

A 455 kg cannon fires a 21 kg cannonball at 26 m/s. If the cannon is on wheels, at what velocity does it move backward?

Answers

Answer:

A cannon ball of mass 4.0 kg is fired from a stationary 96 kg cannon at 120 m/s. Calculate the velocity of the cannon immediately after firing.

total momentum of cannon and cannon ball before = 0 kg m/s - because neither object is moving

total momentum of cannon and cannon ball after collision = 0 kg m/s - because momentum is conserved

Momentum of cannon ball after firing = 4.0 × 120 = 480 kg m/s.

Momentum of cannon after firing = -480 kg m/s (because it recoils in the opposite direction and 480 - 480 = 0 kg m/s, the total momentum after collision).

Rearrange p = m v to find v:

v = p/m

v = 480 divided by 96

v = 5.0 m/s

Note that the forward velocity of the cannon ball was given a positive value. The negative value for the cannon's velocity shows that it moved in the opposite direction.

A quantity that has its own unit and is not derived from another is called a .

Answers

Answer:

Derived quantities are derived from the Fundamental quantities and so the answer is Fundamental Quantity.

A quantity that has its own unit and is not derived from another is called a Fundamental quantity.

The given problem is based on the concept of Fundamental quantities. A fundamental quantity is a physical quantity which does not depends on any other quantities.

For example - Kilogram (kg) is a fundamental quantity, that is unique and it is used to determine the mass of any object.Meter (m) is the fundamental quantity that determines the length of dimensions. Second (s) is the fundamental quantity, that determines the time.

Fundamental quantities are the independent quantities which are utilized for the derivation of another type of physical quantities, known as derived quantities.

Thus, we can conclude that a quantity that has its own unit and is not derived from another is called a Fundamental quantity.

Learn more about the Fundamental quantity here:

https://brainly.com/question/18385964

7. A taxi is travelling at 15 m/s. Its driver accelerates with acceleration 3 m/s2 for 4 s. What is its new velocity​

Answers

Hi there!

To solve, we can use the following equation:

vf = vi + at

vi = initial velocity (m/s)

a = acceleration (m/s²)

t = time (s)

vf = final velocity (m/s)

Plug in the given values:

vf = 15 + 3(4)

vf = 15 + 12 = 27 m/s

Answer:

[tex]\boxed {\boxed {\sf 27 \ m/s}}[/tex]

Explanation:

We are asked to find the new or final velocity of a taxi.

We will use the following kinematic equation:

[tex]v_f=v_i+at[/tex]

The car was initially traveling at 15 meters per second. It accelerated at 3 meters per second squared for 4 seconds.

[tex]v_i=[/tex]15 m/s[tex]a=[/tex]3 m/s ²t= 4 s

Substitute the values into the formula.

[tex]v_f= 15 \ m/s + (3 \ m/s^2* 4 \ s)[/tex]

Multiply the numbers in parentheses.

3 m/s/s * 4 s = 3 m/s *4 = 12 m/s

[tex]v_f= 15 \ m/s +12 \ m/s[/tex]

Add.

[tex]v_f=27 \ m/s[/tex]

The new velocity of the taxi is 27 meters per second.

Wind energy is the example of A) potential energy B)mechanical energy C) Kinetic energy

Answers

Answer:

Kinetic Energy

Explanation:

Its on the internet

the ground wire on a household circuit is typically what color

Answers

Answer:

Hey mate....

Explanation:

This is ur answer.....

Green & Yellow

Hope it helps!

Brainliest pls!

Follow me! :)

The ground wire on a household circuit is green in color in a typical household

What is an electric charge?

Charged material experiences a force when it is subjected to an electromagnetic field due to the physical property of electric charge. You can have positive or negative electric charges (commonly carried by protons and electrons respectively). opposing charges attract one another whereas similar charges repel one another. We refer to an object as neutral if it has no net charge.

The charge on one electron is -1.6 ×10⁻¹⁹ coulomb.

The ground wire is either bare or has green insulation in most residential branch circuit cables in the US.

The norm in Europe and the UK is

live, brown

neutral is blue.

stripes with green and yellow: earth.

Thus,the ground wire on a household circuit is green in color in a typical household

Learn more about an electric charge from here

brainly.com/question/8163163

#SPJ6

OK I have tried answering this for a while but im not very good at this so, how many waves will pass in 1 second if it has a frequency of 10 Hz?

Answers

Frequency means waves passing per second. So 10Hz means 10 waves passing a second

what animal that does not eat meat

Answers

Answer:

An animal that doesn’t eat meat is called a herbivore. An few examples would be cows, rabbits, horses, and goats.

:)

The gravitational field strength on Mars is 3. 7 N/kg. Kai has a mass of 55 kg. What would Kai weigh on Mars? Give your answer to 1 decimal place.

Answers

Hi there!

Weight = mass × acceleration due to gravity (or gravitational field strength)

We can write this as:

W = mg

Plug in the given values:

W = 55 × 3.7

W = 203.5 N

A wooden block moves at a constant speed on a rough horizontal surface. Draw a free-body diagram
clearly showing all the forces applied to the block; compare their magnitudes and directions.

Answers

The weight of the block and normal reaction are equal in magnitude but opposite in direction. Also, the frictional force and applied force are equal in magnitude but opposite in direction.

The forces acting on the wooden block moving at a constant speed include the following;

weight of block acting downwards, Wnormal reaction on the block acting upwards, Napplied force on the block acting towards positive x-direction, Ffrictional force acting towards negative x-direction, [tex]F_f[/tex]

The free-body diagram is presented below;

                                         

                                              N

                                              ↑

                               [tex]F_f[/tex]      ←  ⊕  →   F

                                              ↓

                                              W

The block is moving at a constant speed, we will have the following;

[tex]W = N \\\\F = F_f[/tex]

Thus, we can conclude that the weight of the block and normal reaction are equal in magnitude but opposite in direction. Also, the frictional force and applied force are equal in magnitude but opposite in direction.

Learn more here:https://brainly.com/question/2421394

Other Questions
One theme in Thank You, Maam is that respectful treatment encourages mutual respect. Which passages from the story support this theme?Select all that apply.Thank You, MaamHe did not trust the woman not to trust him. And he did not want to be mistrusted now.He did not trust the woman , not, to trust him. And he did not want to be mistrusted now.The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him.The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him.The water dripping from his face, the boy looked at her. There was a long pause. A very long pause. After he had dried his face and not knowing what else to do dried it again, the boy turned around, wondering what next.The water dripping from his face, the boy looked at her. There was a long pause. A very long pause. After he had dried his face and not knowing what else to do dried it again, the boy turned around, wondering what next.Then, Roger, you go to that sink and wash your face, said the woman, whereupon she turned him looseat last. Roger looked at the doorlooked at the womanlooked at the doorand went to the sink. HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII penguins are birds that are adapted for living near water. penguins have both structural and behavioral adaptation that make them successful in water. which is a structural Adaptation of a penguin A. having oily furb. selecting a mate for life c. living in a large community d. swallowing a stone before diving The partial pressure of CO2 gas in a bottle of carbonated water is 4.60 atm at 25 C. How much CO2 gas (in g) will be released from 1.1 L of the carbonated water when the partial pressure of CO2 is lowered to 1.28 atm? At 25 C, the Henrys law constant for CO2 dissolved in water is 1.65 x 103 atm, and the density of water is 1.0 g/cm3. what do scholars believe about leadership in catal huyuk how did they come to this conclusion Find the measure of the exterior angle. How is stress the number one factor in academic disruption? The erythrocytes main function is which of the following?Kill invaders/pathogensKeep the oxygen supply flowingClose open wounds by clotting Why did Justinian want to expand the Byzantine Empire? How did his actions effect the future of the empire? in the late nineteenth century, a large proportion of swedish immigrants that came to the united states settled in rural areas of Minnesota. descendants of these communities remain in minnesota today as shown on the map. which of the following best describes the pattern of swedish-american ethnicity within minnesotas cultural landscape?a. a diffused pattern of swedish ethnicity evenly distributed across the stateb. a clustered pattern of swedish ethnicity c. a swedish ethnic majority in the northern half of the stated. a swedish ethnic majority throughout the state e. a single remnant area with a high percentage of swedish ethnicity what is the relationship between DNA Chromosomes and organism? which of the following statements if true of high school dropouts Once you can appreciate pop music as a form of _____________, rather than a guide for life, you can have fun with it while still accepting and appreciating yourself.A. religionB. entertainmentC. rulesD. advice Apartheid is a specific example of what system of social stratification? french words adopted into english to mean commonplace I need help with these please spanish What is the standard form of this expression?(1 + 71i)(3 - i) Biology which statement applies to cholesterol?A. It is hydrophobic and found on the outside of the phospholipid biyalerB. It is hydrophilic and found inside the phospholipid bilayerC. It impacts membrane fluidity.D. It is transported in association with glucose in the blood. which correlational coefficient would represent almost no correlation? - psychology Write a procedure for "how to crack an egg" in cooking. You must have at least 3 steps. The format of your procedure is more important than the actual steps on how to do it.