. Four railroad cars, each of mass 2.50 104 kg, are coupled together and coasting along horizontal tracks at a speed of vi toward the south. A very strong but foolish movie actor, riding on the second car, uncouples the front car and gives it a big push, increasing its speed to 4.00 m/s southward. The remaining three cars continue moving toward the south, now at 2.00 m/s. (a) Find the initial speed of the cars. (b) How much work did the actor do

Answers

Answer 1

Answer:

a)     v₀ = 2.5 m / s,   heading south.

b)  W = 1,219 10⁵ J

Explanation:

a) For this exercise we can use the conservation of the moment, we create a system formed by all the 4 cars, in this case when the last one separates the forces are intense and the moment is conserved

initial instant. Before separation

        p₀ = M v₀

final instant. When uncoupling the last car

        p_f = 3m v₁ + m v₂

where they indicate that the speed of the wagons is v₁ = 2.00 m / s and the speed of the last wagon is v₂ = 4.00 m / s

the total mass is M = 4m

how the moment is preserved

           p₀ = p_f

         4m v₀ = 3m v₁ + mv₂

         v₀ = ¾ v₁ + v₂ / 4

let's calculate

           v₀ = ¾ 2 + ¼ 4

           v₀ = 2.5 m / s

heading south.

b) work is equal to the change in kinetic energy

              W = ΔK = K_f -K_o

              W = ½ m v_f² - ½ m v₀²

               W = ½ m (v_f² -v₀²)

               W = ½ 2.50 10⁴ (4² - 2.5²2)

               W = 1,219 10⁵ J


Related Questions

Any magnet has two ends, each one called a(n)​

Answers

pole (north pole and south pole)

An organ pipe closed at one end is 0.76 m long. (A) Determine its fundamental frequency. (B) What are the 3rd and 5th harmonics? Note: Use 344 m/s as the speed of sound.

Answers

Answer:

A) 113.16 Hz

B) 339.47 Hz

565.79 Hz

Explanation:

Only odd harmonics are present in closed pipes that was why they asked for 3rd and 5th harmonics.

A 0.102 kg meterstick is supported at its 39.8 cm mark by a string attached to the ceiling. A 0.687 kg mass hangs vertically from the 4.67 cm mark. A mass is attached somewhere on the meterstick to keep it horizontal and in both rotational and translational equilibrium. The force applied by the string attaching the meter stick to the ceiling is 21.6 N. Find the value of the unknown mass. The acceleration of gravity is 9.81 m/s 2 . Answer in units of kg.

Answers

Answer:

1.41 kg

Explanation:

Draw a free body diagram.  There are four forces on the meterstick:

Weight force Mg pulling down,

Weight of the first mass m₁g pulling down,

Weight of the second mass m₂g pulling down,

and tension force T pulling up.

Sum of forces in the y direction:

∑F = ma

T − Mg − m₁g − m₂g = 0

Solve for m₂:

m₂ = (T − Mg − m₁g) / g

Plug in values:

m₂ = (21.6 − 0.102×9.81 − 0.687×9.81) / 9.81

m₂ = 1.41 kg

6. Three resistors: R = 2, R2 = 3, and R3 = 7 are
connected in series to each other and to a 24 V
battery. What is the ammeter reading after the switch
is closed?

Answers

Answer:

Current = 2 Amps

Explanation:

Given the following data:

Voltage = 24V

R = 2, R2 = 3, and R3 = 7

First of all, we would determine the total equivalent resistance;

RT = R + R2 + R3

RT = 2 + 3 + 7

RT = 12 ohms

Next, we would find the current;

Voltage = current * resistance

24 = current * 12

Current = 24/12

Current = 2 Amps

Therefore, the ammeter reading after the switch is closed is 2 Amperes.

A concert loudspeaker suspended high off the ground emits 33.0 W of sound power. A small microphone with a 0.600 cm2 area is 52.0 m from the speaker. What is the sound intensity at the position of the microphone

Answers

Answer:

The sound intensity at the position of the microphone is [tex]9.71\times10^{-4} W/m^{2}[/tex]

Explanation

Sound intensity is given by the formula

[tex]I=\frac{P}{A}[/tex]

Where [tex]I[/tex] is the sound intensity, [tex]P[/tex] is the power and [tex]A[/tex] is the area.

Since the loudspeaker radiates sound in all directions, we have a spherical sound wave where the radius r is the distance of the microphone from the speaker.

∴ [tex]A[/tex] is given by [tex]4\pi r^{2}[/tex] where [tex]r[/tex] is the radius

From the question, [tex]P[/tex] = 33.0W, [tex]r[/tex] = 52.0m

[tex]I=\frac{P}{A} = \frac{P}{4\pi r^{2} }[/tex]

[tex]I = \frac{33.0}{4\pi \times (52.0)^{2} }[/tex]

∴ [tex]I = 9.71\times10^{-4} W/m^{2}[/tex]

Hence, the sound intensity at the position of the microphone is 9.71 × 10⁻⁴ W/m²

I need help with science:

Question 1: Chlorophyll makes some plants look yellow.

True
False
_________________________

Question 2:

Protozoa are a type of unicellular organisms.

True
False
__________________________________
Question 3:

Nerve cells carry oxygen to the body.

True
False
______________________________________

Question 4:

The__ is the basic unit of all living things.

Options:

nucleus
cell
___________________________

if you answer these all right:
( if u want brainlist's answer this question then ask another random question on your page so u can give me brainlist back, also i need to people to answer so i can chose one of you guys to give the brainlist's to, deal or no?)

no links and ill give good points so u better not steal them or ill report...

Answers

I pretty sure number 3 is false

The human body stores chemical energy from digested food. Some of the chemical energy is converted into mechanical energy when the body moves. Which statement is best supported by this information?

The body does not convert chemical energy to thermal energy.
The body does not convert chemical energy to kinetic energy.
Digested food is a source of potential energy.
Digested food is a form of radiant energy.

Answers

The 3rd option is corrected

Answer:

Your answer is c :)

Explanation:

Marcy pulls a backpack on a wheels down the 100m hall. The 60N force is applied at an angle of 30° above the horizontal. How much work is done by Marcy?

Answers

Answer:

Work= Fcos∆×S

W=60N×cos 30⁰×100

W=60×0.866×100=5196.1J

PLEASE GIVE BRAINLIEST

which of the following are true about S waves

1. they begin at an earthquakes focus
2. they can travel through liquids
3. they can travel through solids
4. they move rock at right angles to the direction of wave travel

Answers

Answer:

3. they can travel through solids

4. they move rock at right angles to the direction of wave travel

Explanation:

S waves are called transverse waves they have the ability to move past the solids. They cannot move through the liquids, these waves are perpendicular to the direction of travel.  They are also called longitudinal waves, the ad is second to record on the seismograph as they slowly pass through the rocks. They have a speed of 3.4 to 7.2 km as per the boundary.

Answer:

1, 3, 4

Explanation:

S waves are transverse waves, so they move rock at right angles to the direction of wave travel. Also, S waves can only travel through solids. S waves and P waves both begin at an earthquake's focus.

A car is stopped at a traffic signal. A second car rear-ends the first car. From the crush of the two vehicles, it is estimated that the second car was traveling at 15 mph when it impacted the first car. If the second car laid down 166 feet of skid marks before the crash took place, how fast was the second car traveling when its brakes were locked up

Answers

The question is incomplete. The complete question is :

A car is stopped at a traffic signal. A second car rear-ends the first car. From the crush of the two vehicles, it is estimated that the second car was traveling at 15 mph when it impacted the first car. If the second car laid down 166 feet of skid marks before the crash took place, how fast was the second car traveling when its brakes were locked up? The approach to the intersection where the accident took place is on a 2.5 percent downgrade. Assume the AASHTO recommended deceleration rate of [tex]$11.2 \ ft/s^2.$[/tex]

Solution :

From the equation, the skid distance is given by

[tex]$S=\frac{u_i^2-u_f^2}{2g\left(\frac{a_d}{g}+h\right)}$[/tex]

Here, [tex]$a_d$[/tex] = deceleration rate, [tex]$11.2 \ ft/s^2.$[/tex]

         h = [tex]$-\frac{2.5}{100}$[/tex] = -0.025

         [tex]$u_i$[/tex] = initial speed of the car

         [tex]$u_f$[/tex] = speed when impacted

Therefore,

[tex]$166=\frac{u_i^2-(15 \times 1.467)^2}{2\times 32.2\left(\frac{11.2}{32.2}+0.025\right)}$[/tex]

[tex]$\Rightarrow u_i^2 = 3935.36$[/tex]

[tex]$\Rightarrow u_i = 62.73 \ ft/s$[/tex]

or [tex]$ u_i = \frac{62.73}{1.467} $[/tex]

   [tex]$ u_i = 42.76 \ mph $[/tex]

2) A 45-kg person steps on a scale in an elevator. The scale reads 460 N. What is the elevator doing?

Answers

Answer:

The elevator is stationary

Use the drop-down menus to complete the sentences.
A concave lens is
in the middle than at the edges, and causes light rays to
A convex lens is
in the middle than at the edges, and causes light rays to

Answers

Answer:

1) thinner, diverge

2) thicker, converge

Explanation:

i got it right thanks to the other user :)

A concave lens is thinner in the middle than at the edges, and causes light rays to diverge.

A convex lens is thicker in the middle than at the edges, and causes light rays to converge.

What are concave and convex lens?

The lenses used to form images of the object placed a distant apart.

The concave mirror form images by virtual meeting of the light rays and appear to meet. They are thin at the middle portion.

The convex mirror form images by real meeting of the light rays. They converge the rays coming from object. They are thick at the middle portion.

Thus, A concave lens is thinner in the middle than at the edges, and causes light rays to diverge.

A convex lens is thicker in the middle than at the edges, and causes light rays to converge.

Learn more about concave and convex lens.

https://brainly.com/question/3174756

#SPJ2

If an engine cannot be 100%
efficient, what happens to the
energy that is lost?
A. It disappears.
B. It reproduces.
C. It still exists, but in a different form.

Answers

Answer: Given the evidence in the explanation, I'm pretty sure it's C. It still exists, but in a different form.

Explanation: "Some part of the energy supplied is used to change the internal energy of the system. Some part is also released into the surroundings. Generally, frictional losses are more predominant for the machines being not 100% efficient. This friction leads to the loss of energy in the form of heat, into the surroundings."

The answer is C hope this helps

When you measure the mass of an object you are also measuring its what

Answers

Here ya go-!

Mass is both a property of a physical body and a measure of its resistance to acceleration (a change in its state of motion) when a net force is applied. An object's mass also determines the strength of its gravitational attraction to other bodies. The basic SI unit of mass is the kilogram (kg).

(um im sorry if its wrong-)

(a) The roof of a large arena, with a weight of 290 kN, is lifted by 30 cm so that it can be centered. How much work is done on the roof by the forces making the lift? (b) In 1960 a Tampa, Florida, mother reportedly raised one end of a car that had fallen onto her son when a jack failed. If her panic lift effectively raised 4000 N (about 1/4 of the car's weight) by 5 cm, how much work did her force do on the car?

Answers

Answer:

87000 J ;

200 J

Explanation:

Workdone = mgh

Weight = mg = 290kN = 290 * 1000=290000 N

h = distance = 30 cm = 0.3 m

Workdone = 290000 * 0.3

Workdone = 87000 J

B.)

Workdone = Force * distance

Force = 4000 N

Distance, d = 5 cm = 0.05 m

Workdone by the woman, W = 4000N * 0.05m

W = 200Nm = 200 J

on which principle thermometer is based?​

Answers

Answer:

Thermal Expansion

Explanation:

These liquid thermometers are based on the principal of thermal expansion. When a substance gets hotter, it expands to a greater volume. Nearly all substances exhibit this behavior of thermal expansion. It is the basis of the design and operation of thermometers.

Which is TRUE about static electricity?

It is a stationary electric charge that builds up on an insulating material and is discharged when another material touches it.


It can flow from an electric outlet along a wire to a lamp.

It travels in a circuit.

It usually has a switch that allows you to turn something on or off.

plssssssssssssss answer correct pls correct answers only plsssss not in a mean way

Answers

Answer:

the first one stationary charge

first oneeeeeeeeeeeeeeeeeeee

If a rock is sitting at the top of a 400-m cliff
and has a mass of 32 kg, what is the potential
energy of the rock?

Answers

Answer:

0.

Explanation:

rocks dont have energy

Choose five chemical changes from the list below.

running in place
dropping a glass
rotting milk
apples getting ripe
smashing a rock
digesting your lunch
burning paper
cutting up an apple
iron rusting

Answers

iron rusting, burning paper, rotting milk, digesting your lunch, and apples getting ripe:)) hope this help pls mark me branliest!!<3

write each of the following in scientific notation, correct to 2 decimal places.
a. 0.00000123 N
b. 417 000 000 kg
c. 246800 A
d. 0,00088 mm​

Answers

Answer:

The scientific notation for the each number is given below:

Explanation:

The scientific notation for the following numbers are:

a. For 0.00000123 N

1.23 × 10^-6

b. For 417 000 000 kg

4.17 × 10^8

c. For 246800 A

2.47 × 10^5

d. For 0.00088m

8.8 × 10^-4

The above represent scientific notations of each numbers

Knowledge and skills learned through socialization are an example of

Multiple Choice

1. human resources.
2. social resources.
3. political resource.
4. cultural resources.​

Answers

Answer:

I think no.2 the answer

Because socialization and social resources are both for me

The correct answer is 4. cultural resources. Knowledge and skills learned through socialization.

What are Knowledge and skills learned through socialization?

Knowledge and skills learned through socialization refer to the cultural, social, and behavioral norms and values that individuals learn through interaction with others in their environment. This process of learning begins in childhood and continues throughout an individual's life, through various social institutions such as family, education, religion, media, and peer groups.

Here,
The correct answer is 4. cultural resources. Knowledge and skills learned through socialization are an example of cultural resources because they are shaped by the cultural norms, values, and beliefs of the society in which an individual grows up.

Learn more about knowledge and skill learned here:

https://brainly.com/question/29487322

#SPJ6

An aspirin tablet that contains 75mg of
aspirin and 325mg of inert materials is an
example of
A. qualitative data.
B. quantitative data.
C. neither qualitative or quantitative data.

Answers

Answer:

it is for sure B. Quantitative data !

Explanation:

As I learned from quizlet!. there your welcome

Answer:

B. Quantity

Explanation:

This is easy

what role if any does air resistance have on your results​

Answers

When air resistance acts, acceleration during a fall will be less than g because air resistance affects the motion of the falling objects by slowing it down. ... Air resistance depends on two important factors - the speed of the object and its surface area.

Two coils of wire are placed close together. Initially, a current of 3.03 A exists in one of the coils, but there is no current in the other. The current is then switched off in a time of 3.03 x 10-2 s. During this time, the average emf induced in the other coil is 4.13 V. What is the mutual inductance of the two-coil system

Answers

Answer:

4.13 ×10^-2 H

Explanation:

mutual inductance of the two-coil system can be calculated using below expression

mutual inductance = (- E Δt)/ ΔIp

Where E= average emf induced

Δt= time

ΔIp= change in current

ΔIp=( 0s - 3.03 A)

Δt=3.03 x 10-2 s.

If we substitute the values into above expresion, we have,

E= 4.13 V.

mutual inductance = (- E Δt)/ ΔIp

= - (4.13 V × 3.03 x 10^-2 s.)/ ( 0s - 3.03 A)

= 4.13 ×10^-2 H

Hence, the mutual inductance of the two-coil system is 4.13 ×10^-2 H

Which resource when used causes the most pollution?
solar
coal
wind
O water

Answers

the answer should be coal

ball A is dropped from a hot air balloon rising at a costant velocity of 14,7 m.s'1 at a height of 19,7 m above the ground.the ball took 1.5s to reach its maximum height and hits the ground after some time in air.ignore the effects of air resistanceUse the ground as zero reference.3.1.1calculate the maximum height reached by the ball above the ground​

Answers

Answer:

this slow site thinks the answer is a link

Explanation:

this was a week ago so i dont know if u still need help

If two small beakers of water, one at 70°C and one at 80°C, are
emptied into a large beaker, what is the final temperature of the
water?
a. The final temperature is less than 70°C.
b. The final temperature is greater than 80°C.
c. The final temperature is between 70°C and 80°C.
d. The water temperature will fluctuate.

Answers

Answer:the final temperature is between 70 C and 80 degress c

Explantion: took the test

c. The final temperature is between 70°C and 80°C. Option C is correct.

What is Absolute Zero?

Absolute Zero can describe as,  in a thermodynamic system, there are certain energy levels depending upon the potentials of temperature. At Absolute zero the potentials of temperature are  0 K in the Kelvin scale and   -273° C in the Celsius scale.

Here,

When two small beakers of water at different temperatures are combined in a larger beaker, the final temperature of the water will be somewhere between the initial temperatures of the two smaller beakers. The exact final temperature depends on several factors such as the mass and initial temperature of each beaker, the heat capacity of the large beaker, and the surrounding temperature. However, in general, the final temperature will tend to be closer to the average of the initial temperatures, so in this case, it will likely be between 70°C and 80°C.

Learn more about temperature scales here:

brainly.com/question/18837348

#SPJ6

Two resistors R1 = 3 Ω and R2 = 6 Ω are connected in parallel. What is the net resistance in the circuit?​

Answers

Answer:

2ohms

Explanation:

the net resistance is given by

1/R=1/R1 +1/R2,we are supposed to find R

thus by making R the subject ....

R=R1•R2/R1+R2

R=3•6/3+6

R=18/9 =2Ohms

Which on the map
represents Asia?

Answers

Answer:

B because it's on Asia but that pfp tho

The answer is B that represents Asia

You find an unmarked blue laser on your way to physics class. When you get to class you realize you can determine the wavelength of the laser by doing a double slit experiment. Shining the laser through a double slit with a slit separation of 0.342 mm on the wall 2.12 m away the first bright fringe is 2.80 mm from the center of the pattern. What is the wavelength

Answers

Answer:

λ = 451.7 nm

Explanation:

The expression for the constructive interference of the double diffraction experiment is

          d sin θ = m λ

let's use trigonometry

          tan θ = y / L

   

how the experiment occurs at very small angles

          tan θ = sin θ / cos θ = sin θ

          sin θ = y / L

we substitute

         d y / L = m λ  

         λ = [tex]\frac{d \ y}{m \ L}[/tex]

let's calculate

          λ = [tex]\frac{0.342 \ 10^{-3} \ 2.80 \ 10^{-3} }{1 \ 2.12 }[/tex]

          λ = 4.51699 10⁻⁷ m

          λ = 4.517 10⁻⁷ m (109 nm / 1m)

          λ = 451.7 nm

Other Questions
According to the chart, what was the average weekly rate for a female production worker in 1929?A)$17.61B)$2.30$24.40D)$25.11 Charlie Charlie's most important character trait is his self-control, as this saves him from the dangerous temptations of the chocolate factory. Roald Dahl Fact or Opinion AgroGlobal stands in the way of Mandy reaching her central goal. What type of conflict is this?Question 3 options:Character vs. CharacterCharacter vs. SelfCharacter vs. NatureCharacter vs. Society Which factor contributed to the fall of the Akkadian Empire?The Persians invaded the Akkadians' territory.Sargon conquered the Mesopotamian city-states.Local rulers regained control over their city-states.The Neo-Babylonians destroyed the city of Jerusalem. A company is considering buying licenses for 12 megahertz of wireless spectrum in the 700 MHz range, which is suitable for delivering television to mobile phones. The 700 MHz signals can travel long distances and more easily penetrate walls and other obstacles. The acquisition cost is $150 million. In addition, because networks that operate in the 700 MHz range are less expensive to build than those in other portions of the spectrum, the company estimates annual costs of $15 million over the next 8 years and no salvage value. During the same period, the company expects to generate annual revenue of $18 million by offering television arid video to mobile-phone users. Calculate the net present worth of this investment and determine the acceptability of the investment if the company's minimum attractive rate of return is 15% per year. Ill give brainilest, question is in the picture. What medical term means falling?(It starts with a P and is 6 letters long) I am doing a crossword but I cant figure it out Together Jason and Judy have read 24 mystery novels. Judy has read less than three times as many as Jason. How many mystery novels have each of them read. hnhhhhhhhhhhhhhhhhhhh Which of the following wars produced the song Battle Hymn of the Republic?A. Civil WarB, World War Ic. Revolutionary WarD. World War 11SUBMIT which of the following is an example of a emergency responder? A. paramedicB. radiologistC. urgent care nurseD. ER doctor How did the population boom during the Industrial Revolution? **Bible Questions** If you have any questions concerning the Bible, Jesus, God, the Holy Spirit, etc, I will do my best to answer them. Simplify - 2.6c - 2.8c The figure below shows a shaded region and a non-shaded region. Angles in the figure that appear to be right angles are right angles.What is the area, in square feet, of the shaded region?What is the area, in square feet, of the non-shaded region? During the Roman Republic, people were not loyal or disciplined, True False Help Me Mr Thompson! HW For Math How many years passed between the fall of the Tang Dynasty and the rise of the Song Dynasty? Write the following in digital form Which of the following is an example ofvolunteering?O being paid to clean examination rooms in amedical clinicoffering to help out with a sick coworker'sduties while being paid extra to do soo working at a nonprofit hospital without gettingpaidfollowing someone around at a job