A 30,000-kg freight car is coasting at 0.850 m/s with negligible friction under a hopper that dumps 110,000 kg of scrap metal into it. (a) What is the final velocity of the loaded freight car? (b) How much kinetic energy is lost?(Check 2 choices for the answer) *

Answers

Answer 1

Explanation:

Given that,

Mass of a freight car, [tex]m_1=30,000-kg[/tex]

Speed of a freight car, [tex]u_1=0.85\ m/s[/tex]

Mass of a scrap metal, [tex]m_2=110,000\ kg[/tex]

(a) Let us assume that the final velocity of the loaded freight car is V. The momentum of the system will remain conserved as follows :

[tex]30000\times 0.85=(30000+110000)V\\\\V=\dfrac{30000\times 0.85}{30000+110000}\\\\=0.182\ m/s[/tex]

So, the final velocity of the loaded freight car is 0.182 m/s.

(b) Lost on kinetic energy = final kinetic energy - initial kinetic energy

[tex]\Delta K=\dfrac{1}{2}[(m_1+m_2)V^2-m_1u_1^2)]\\\\=\dfrac{1}{2}\times [(30,000+110,000 )0.182^2-30000(0.85)^2]\\\\=-8518.82\ J[/tex]

Lost in kinetic energy is 8518.82. Negative sign shows loss.


Related Questions

John sees Linda Running towards him at 11 m/s. while running, Linda throws a ball at 5m/s. what is the speed of the ball as observed by John?​

Answers

11m/s Bc of the fact that he sees her running at 11m/s

What natural product is plastic made from?

Answers

Answer:

cellulose, coal, natural gas, salt and crude oil

Explanation:

Answer:

Plastics are derived from natural, organic materials such as cellulose, coal, natural gas, salt and crude oil.

the most important is crude oil

Which of the following are vector quantities? Select all that apply.
10 degrees Fahrenheit
10 m
7 miles southwest
9 steps to the left
0 75 mph north

Answers

Answer:

7 miles southwest

9 steps to the left

75 mph north

Explanation:

A vector quantity has magnitude and directions. Vector is a terminology used to describe physical quantities with this attribute.

The opposite of vectors are scalar quantities. They only have magnitude but no direction.

The choices which indicates a specific direction is  a true vector.

7 miles south west is displacement of a body

9 steps to the left is displacement

75mph north is a velocity

Displacement and velocity are physical quantities that are vectors

What is the mass of an object that experiences a gravitational force of 685 N near Earth's surface where g

Answers

Answer:

mass = GPE divided by gxh

Explanation:

Answer:

69.9 kg

Explanation:

w = mg

m = w/g

m = 685/9.8

m = 69.9 kg

How much time does it take for a bird flying at a speed of 45 miles per hour to travel a distance
of 1, 800 miles?

Answers

Answer:

40

Explanation:

Which statement best describes the position of a coastal area during a low
tide?
OA.Itis on a side of Earth that faces the Moon directly.
OB. It is on the part of Earth that is experiencing nighttime.
Oc. It is on the part of Earth that is experiencing daylight.
OD. It is on a side of Earth that is perpendicular to the Moon.

Answers

Answer:

C

Explanation:

A car moves with a velocity of 54km/h to a velocity of 72lm/h for 5 minutes. determine the distance covered

Answers

Answer:

The distance covered is 5250 meters

Explanation:

Motion With Constant Acceleration

It's a type of motion in which the velocity of an object changes uniformly in time.

The change of velocities is given by the following equation :

[tex]v_f=v_o+at\qquad\qquad [1][/tex]

Where:

a   = acceleration

vo = initial speed

vf  = final speed

t    = time

The distance traveled by the object is given by:

[tex]\displaystyle x=v_o.t+\frac{a.t^2}{2}\qquad\qquad [2][/tex]

Solving [1] for a:

[tex]\displaystyle a=\frac{v_f-v_o}{t}[/tex]

The car changes its speed from vo=54 Km/h to vf=72 Km/h in t=5 minutes. Let's convert all to meters and seconds.

vo=54 Km/h * 1000/3600 = 15 m/s

vf=72 Km/h * 1000/3600 = 20 m/s

t = 5 min * 60 = 300 s

Now we calculate the acceleration:

[tex]\displaystyle a=\frac{20-15}{300}[/tex]

[tex]\displaystyle a=\frac{5}{300}[/tex]

[tex]a=0.0167\ m/s^2[/tex]

Now for the distance:

[tex]\displaystyle x=15*300+\frac{0.0167*300^2}{2}[/tex]

[tex]\displaystyle x=4500+750=5250[/tex]

x = 5250 m

Note: We have shown only some of the decimals for the acceleration, but we have used all the decimals stored in the calculator to present accurate results.

The distance covered is 5250 meters

Why do we need measurement

Answers

Answer:

Measurement are tools to help know how long or wide something is

Explanation:

Answer:

There is many reasons we need measurement one is to answer questions. Another reason is we need it in are daily life, many jobs require knowing how to use measurements like construction workers and factory's. Without measurement driving and daily life tasks would be difficult.  

what is meant by si unit?

Answers

Answer:

The SI base units are the standard units of measurement defined by the International System of Units (SI) for the seven base quantities of what is now known as the International System of Quantities: they are notably a basic set from which all other SI units can be derived.

Explanation:

A scientist would most likely need to update her model win it a has become too simple be no longer supports the latest results see reduces the need for verbal explanation of data or tea no longer appears interesting

Answers

The question is incomplete, the complete question is;

A scientist would most likely need to update her model when it

a.has become too simple.

b.no longer supports the latest results.

c.reduces the need for verbal explanation of data.

d.no longer appears interesting.

Answer:

b.no longer supports the latest results.

Explanation:

In science, models are prepared to explain experimental results. Each model must have a solid framework supported by experimental results.

However, science is never static. Given the dynamic nature of science, it is possible that latest experimental evidence may no longer support the existing model and the model will need to be reviewed in the light of emerging experimental results.

Helpp! If the box moves 12m to the right calculate the work done on the box.

Answers

Answer:

80 times 12=960

Explanation:

You have to do the equation for work, the equation is work= force times distance, the force here is 80newtons, the distance is 12meters, so you would do 80 times 12 to get your answer of 960

If an object is still in a space (no gravity, no air) and a force is quickly applied upward
what would you expect to happen?​

Answers

Answer:

It will continue to move without slowing down

Explanation:

Because no friction

Answer:

To be logical, it depends on the object. A human can throw a meteor like a soccer ball. So most likely it would get propelled upward with out air force, meaning it would be unable to contract heat to its sedimentary exterior.

HELP PLEASE!!!
An 85-kg clown is fired from rest out of a 480-kg cannon. If the clown’s speed is 18 meters per second after the firing, then what is the recoil speed of the cannon?

Answers

Answer:

101.65 m/s

Explanation:

Step one:

Given data

m1= mass of gun.= 480kg

m2= mass of bullet.  = 85kg

v1=

v2= final velocities of bullet. = 18 meters per second

m1u1+m2u2=m1v1+m2v2

u1=0; u2=0

0=m1v1+m2v2

Step two:

Recoil velocity v1= -(m1/m2)v2

v1= -(480/85)18

v1= 5.64*18

v1=101.65 m/s

How much force is required to raise a 0.2 kg mass?

please only answer if you know it.

Answers

since f= ma and your givens are m=0.2 kg and gravity (also acceleration) is 9.8 m/s [down], to find the force sub the two into the equation so that: f= (0.2)(9.8) which should equal 1.96 N.

We have that for the Question "How much force is required to raise a 0.2 kg mass?" it can be said that

The Force required to raise W=1.962N will be F=1.962N since F=W

F=1.962N

From the question we are told

How much force is required to raise a 0.2 kg mass?  

Generally the equation for the Weight   is mathematically given as

[tex]W=M*g\\\\W=0.2*9.81\\\\W=1.962N\\\\[/tex]

Therefore

The Force required to raise W=1.962N will be F=1.962N since F=W

F=1.962N

For more information on this visit

https://brainly.com/question/23379286


⚠️ HELPPPP PLEASE ⚠️

Which of the following was established by the Continental Congress?

O The Smithsonian

O The Supreme Court

O The US Post Office

O the Continental Army

Answers

Answer:

The second Continental Congress started the Continental Army

Explanation:

The Smithsonian was established by the continental congress

Friction converts Kinetic energy to what type of energy?​

Answers

Answer: Friction between the two surfaces converts kinetic energy into thermal energy.

Explanation: Friction occurs because no surface is perfectly smooth. Rougher surfaces have more friction between them. Friction produces heat because it causes the molecules on rubbing surfaces to move faster and have more energy.

Por que es posible suponer que la energía térmica que gana el agua en un calorímetro es igual a la energía térmica que pierde la muestra que se va a probar

Answers

Answer:

El material del calorímetro es aislante, conducción térmica entre sustancias y alrededores casi nula.

Explanation:

Es posible suponer que la energía térmica que gana el agua en un calórimetro equivale a la energía térmica perdida por la muestra que se prueba, en tanto que el material del calorímetro se caracteriza por ser de naturaleza aislante, es decir, que no permite las interacciones de energía entre los fluidos al interior y los alrededores del calorímetro.

The day VFR visibility and cloud clearance requirements to operate over the town of Cooperstown, after departing and climbing out of the Cooperstown Airport at or below 700 feet AGL are:_________A. 3 miles and clear of cloudsB. 1 mile, 1000 feet above, 500 feet below, and 2000 horizontal from cloudsC. 1 miles clear of cloudsD. 3 miles, 1000 feet above, 500 feet below, and 2000 horizontal from clouds

Answers

Answer:

The correct option is;

C. 1 mile clear of clouds

Explanation:

Given that the indicated airspace location is at or below 700 feet AGL therefore, it is taken as being in the region of a class G airspace which covers the airspace regions from the base up to and equal to 1,200 feet beneath the class E airspace and the requirement for VFR flight for class G are 1 mile and clear of clouds.

Which of the following is NOT an example of a medium.
A. outerspace
B. water
C. air
D. metal

Answers

Answer:

D.) Metal

Explanation:

light can not pass through metal.

The example of a substance which is NOT a medium is:

D. metal

What is a Medium?

It is any material substance which can propagate waves or energy.

Water is the mode of sea waves. Air is the medium through which we hear sound waves. The E.F andM.F are the vehicle of light. Individuals are the vehicle of an arena wave.

Metals are not considered as medium as they do not allow any energy to travel through them.

Thus, option D is correct.

Find more information about Metals here:

brainly.com/question/4701542

Pendulum earth air lololo

Answers

Is this a question?

Answer:

ooooookkkkkk????

Explanation:

Describe how a neutral material becomes attracted to a negatively charged object brought near it.

Answers

Answer:

Electric force

Explanation:

It’s like static stuff

Which of the following are vector quantities? Select all that apply.
10 degrees Fahrenheit
F
o 10 m
N 7 miles southwest
9 steps to the left
75 mph north

Answers

Answer:

7 miles southwest

9 steps to the left

75 mph north

Explanation:

A vector quantity is any physical quantity that specifies the magnitude of the quantity and its direction.

So, the choices that gives a magnitude and direction are vectors.

The other type of physical quantities are the scalar which only specifies the magnitude but no direction;

9 steps to the left and  7 miles southwest are called displacement

75 mph north is velocity

1.5 x 10-3 standard notation

Answers

I may be a little late but the answer is -11.5
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