Two billiard balls move toward each other on a table. The mass of the number three ball, m1, is 5 g with a velocity of 3 m/s. The mass of the eight ball, m2, is 6 g with a velocity of 1 m/s. After the balls collide, they bounce off each other. The number three ball moves off with a velocity of 5 m/s. What is the final velocity and direction of the eight ball? 8. 6 m/s 5. 7 m/s â€"5. 7 m/s â€"8. 6 m/s.

Answers

Answer 1

This question involves the concepts of the law of conservation of momentum and velocity.

The velocity of the eight ball is "5.7 m/s".

According to the law of conservation of momentum:

[tex]m_1u_1+m_2u_2=m_1v_1+m_2v_2[/tex]

where,

m₁ = mass of number three ball = 5 g

m₂ = mass of the eight ball = 6 g

u₁ = velocity of the number three ball = 3 m/s

u₂ = velocity of the eight ball = - 1 m/s (negative sign due to opposite direction)

v₁ = final velocity of the three number ball = - 5 m/s

v₂ = final velocity of the eight ball = ?

Therefore,

(5 g)(3 m/s) + (6 g)(- 1 m/s) = (5 g)(- 5 m/s) + (6 g)(v₂)

[tex]v_2=\frac{34\ g.m/s}{6\ g}\\\\[/tex]

v₂ = 5.7 m/s

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Related Questions

plssssss look at the picture i need it right hurry pls

Answers

Answer:

it is B

Explanation:

Answer:

CO and H20

Explanation:

Two gravitational forces act on a
given object. How do you determine the total gravita-
tional force acting on the object?

Answers

Answer:

Explanation:

Depends on the location of the two forces.  If they are aligned on the same side of the object, you would simply add.

X -----------F1 -------F2

X is the object. F1 and F2 are both masses which create a gravitational force. They both are the form of Fx = G * m1 * m2 / r^2. The total force is F1 + F2

If they are are on either side of the object, you subtract.

F1 ---------X ---------F2

Fx = F1 - F2

Any other location of F1 and F2 is much more complicated by the use of trigonometry.

What will happen if the two plungers are pressed together firmly? Explain your answer.​

Answers

Answer:

This air being forced out causing the air pressure inside to be much lower than that on the outside. As higher air pressure always pushes, it keeps the two plungers together.

Hope that helps. x

Which form can solutions come in?

liquid

gas

solid

all of the above

Answers

Answer:

liquid

Explanation:

leave a thanks if helped  !

Use this table of a school bus during morning pickups to calculate its average speed between 0 h and 2.340 h.
Position (km) Time (h)
0.0 0.000
1.2 0.024
2.8 0.051
4.2 0.084
16.3 2.340

Answers

The average speed between 0 h and 2.340 h is 6.97 Km/h

Average speed is defined as the total distance travelled divided by the total time taken to cover the distance.

[tex]Average \: speed = \frac{total \: distance}{total \: time} \\ \\ [/tex]

With the above formula, we can obtain the average speed between 0 h and 2.340 h as illustrated below:

Total time = 2.340 – 0 = 2.340 hTotal distance = 16.3 – 0 = 16.3 KmAverage speed =?

[tex]Average \: speed = \frac{total \: distance}{total \: time} \\ \\Average \: speed = \frac{16.3}{2.340} \\ \\ Average \: speed = 6.97 \: Km/h \\ \\ [/tex]

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Answer:

6.983 km/hr

Explanation:

The average rate of change is (16.34 - 0.0)/(2.34 - 0.000) ≈ 6.983 km/hr

Mejor yo por favor

can someone explain it with steps?

A car was moving on a road at a constant speed of 15 m/s when suddenly the car driver saw some animal on the road at a distance of 21 m from the car, so he applied the brakes after a response time of 0.4 s and stopped before hitting the animal by 1 m. What was the deceleration of the car?

a-7.5 m/s^2

b-5.2 m/s^2

c-8.0 m/s^2

d-5.6 m/s^2​

Answers

Answer:

Option C is the correct answer

Explanation:

Distance travelled by car during reaction time

[tex]=15\times0.4\\\\=6m[/tex]

The car stopped before hitting the animal by [tex]1 m[/tex]

Distance travelled during deceleration is [tex]21-6-1=14m[/tex]

Hence by [tex]v^2=u^2+2as[/tex]

We have

[tex]0^2=15^2+2 \cdot a \cdot 14\\\\a=\frac{-225}{28} \\\\=-8.03m/s^2[/tex]

Option C is the correct answer

Initial velocity=15m/s=uFinal velocity=0deacceleration=a

Distance traveled during reaction time

15(0.4)=6m

Total distance

21-6-1=14m

[tex]\\ \sf\longmapsto v^2-u^2=2as[/tex]

[tex]\\ \sf\longmapsto -(15)^2=2(14)a[/tex]

[tex]\\ \sf\longmapsto -225=28a[/tex]

[tex]\\ \sf\longmapsto a=-8.0m/s^2[/tex]

A number line goes from 0 to 30. Closed circles are at 6 and 25. A line is drawn from point 6 to point 25. Ari is swimming a 25-meter race. After swimming 6 meters, she catches up to Amanda in a ratio of 7:3 from the 6-meter mark. At what meter mark does Ari catch up to Amanda? Round to the nearest tenth, if necessary. Ari catches up to Amanda at meters.

Answers

The position on the meter mark where Ari catches up with Amanda is 19.3 m.

The given parameters:

Range of the number line, = 0 to 30Position of the closed circles, = 6 and 25The ratio between the initial position and final position of Ari = 7:3

The distance between 6 m mark and 25 m mark is calculated as follows;

[tex]d = 25 \ m - \ 6 \ m\\\\\d = 19 \ m[/tex]

The distance traveled by Ari before catching up with Amanda is calculated as follows;

total ratio = 7 + 3 = 10

[tex]distance = \frac{7}{10} \times 19 \ m\\\\distance = 13.3 \ m[/tex]

The position of Ari from the 6 m mark is calculated as follows;

[tex]position = 6 \ m \ + \ 13.3 \ m\\\\position = 19.3 \ m[/tex]

Thus, the position on the meter mark where Ari catches up with Amanda is 19.3 m.

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Answer:

The above answer is correct! The answer is 19.3 meters :)

Explanation:

adding a ss for proof!

hope this helps :D

Given that the mass of a liquid is 0.01kg and the volume of the liquid is 0.05m^3 . Calculate the density of the liquid

A) 2kg/m^3

B)0.2kg/m^3

C) 5kg/m^3

D) 0.5kg/m^3​

Answers

Answer:

B.

Explanation:

Density = mass / volume

= 0.01/0.05

= 0.2 kg/m^3.

Kepler’s laws of planetary motion describe each of the three laws

Answers

Kepler's laws laid the foundation for the early study of astronomy.

Kepler was one of the earliest astronomers that contributed immensely to the study of the planets. The Kepler's laws of planetary motion are as follows;

The planets each travel along an ellipse with the sun at one focus.The line joining the sun and the planets sweeps out equal areas in equal time intervals.The square of the period of the revolution of the planets equals the cube of the planet's mean distance from the sun.

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A crate slides down a ramp that makes a 20∘ angle with the ground. To keep the crate moving at a steady speed, Paige pushes back on it with a 68 N horizontal force.
Part A
How much work does Paige do on the crate as it slides 3.0 m down the ramp?

Answers

Answer:

the answer is 69.7687j

Explanation:

W =F sin Φ

The density of gold is 19.3 g/cm3. What is the volume of a 13 g gold nugget? (Density: D = m/v)

Answers

Answer:

Formula = D = m/v

Given value of D = 19.3 and m = 13g

19.3 = 13/v

V × 19.3 = 13

v = 13/19.3

v = 0.67

The expression below was formed by combining different gas laws. V is proportional to StartFraction n T over P EndFraction. Which law was used to determine the relationship between the volume and the number of moles in this equation? Boyle’s law Charles’s law Avogadro’s law Gay-Lussac’s law.

Answers

The relationship between the number of moles and the volume of gas is determined by the Avogadro's law in this equation.

Avogadro's law:

It states that at constant temperature and pressure, gases with same volume has the same number of molecules.

For an ideal gas with with constant  temperature and pressure, the volume of the gas is directly proportional to the amount or number of molecules.

Charle's law states that at constant pressure, volume (V) and temperature (T) are directly proportional.Boyle's law states that at constant temperature, the volume of gas is inversely proportional to the gas pressure.Gay-Lussac's law states that pressure (P) and absolute temperature (T) of the gas are directly proportional.

Therefore, the relationship between the number of moles and the volume of gas is determined by the Avogadro's law in this equation.

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Answer:

Avogadro's law

Explanation:

how to find velocity of center of mass before and after the collision

Answers

Hey there! I'll try to provide you with my best answer.

Answer: In a collision, the velocity change is always computed by subtracting the initial velocity value from the final velocity value. If an object is moving in one direction before a collision and rebounds or somehow changes direction, then its velocity after the collision has the opposite direction as before.

Help it multiple-choice 16 and 17 only

Answers

Answer:

16. c

17. d

Explanation:

16. Newton’s third law states that a force will always have an opposite but equal force as a reaction, so every force comes as a pair of action-reaction forces. For example, if you push on a book, the book also pushes on you.

17. If 1cm represents 15N, then 5cm must represent 15N*5=75N.

bow long does it take earth to rotate once on its axis​

Answers

Answer:

23 hours, 56 minutes

No actually, 23 hours 56 minutes 4.091 seconds

The time it takes Earth to rotate so the sun appears in the same position in the sky, known as a solar day, is 24 hours. However, the time it takes Earth to complete one full rotation on its axis with respect to distant stars is actually 23 hours 56 minutes 4.091 seconds, known as a sidereal day.

Which image shows an example of the electromagnetic force in action?

Answers

Answer:

Where are the images?

Explanation:

I can't help if there is no image(s) to this question.

Describe your acceleration if you ride your bike up a hill,then ride down the other side.

Answers

Answer:

first negative and then positve

how to read a micrometer on a clark cm-100 vickers hardness tester

Answers

Answer:

Explanation:

Equipment manufactured by LECO(8 Corporation, St. Joseph, Michigan is warranted free from defect in material

and workmanship for a period of six months from the date of purchase. Equipment not manufactured by LECO is

covered to the extent of warranty provided by the original manufacturer and this warranty does not cover any

equipment, new or used, purchased from anyone other than the LECO Corporation. All replacement parts shall

be covered under warranty for a period of thirt days from date of purchase. LECO MAKES NO OTHER

REPRESENTATION OR WARRANTY OF ANY OTHER KIND, EXPRESSED OR IMPLIED, WITH RESPECT TO

THE GOODS SOLD HEREUNDER, WHETHER AS TO MERCHANTABILITY, FITNESS FOR PURPOSE, OR

OTHERWISE.

Expendable items such as crucibles, combustion tubes, chemicals and items of like nature are not covered by

this warranty.

LECO's sole obligation under this warranty shall be to repair or replace any part or parts which, to our

satisfaction, prove to be defective upon return prepaid to LECO Corporation, St. Joseph, Michigan. This

obligation does not include labor to install replacement parts, nor does it cover any failure due to accident, abuse,

neglect, or use in disregard of instructions furnished by LECO. In no event shall damages for defective goods

exceed the purchase price of the goods, and LECO SHALL NOT BE LIABLE FOR INCIDENTAL OR

CONSEQUENTIAL DAMAGES WHATSOEVER.

All claims in regard to the parts or equipment must be made within ten (10) days after Purchaser learns of the

facts upon which the claim is based. Authorization must be obtained from LECO prior to returning any other

parts. This warranty is voided by failure to comply with these notice requirements.

NOTICE

The warranty on LECO equipment remains valid only when genuine LECO replacernent parts are employed.

Since LECO has no control over the quality or purity of consumable products not manufactured by LECO, the

specifications for accuracy of results using LECO instruments are not guaranteed unless genuine LECO

consumables are employed in conjunction with LECO instruments. If purchaser defaults in making payment for

any parts or equipment, this warranty shall be void and shall not apply to such parts and equipment. No late

payment or cure of default in payment shall extend the warranty period provided herein.

LECO Corporation is not responsible for damage to any associated instruments, equipment or apparatus nor wil

LECO be held liable for loss of profit or other special damages resulting from abuse, neglect, or use in disregard

of instructions. The Buyer, their employees, agents and successors in interest assume all risks and liabilities for

the operation, use and/or misuse of the product(s) described herein and agree to indemnify, hold harmless and

defend the seller from any and all claims and actions arising from any cause whatsoever, including seller's

negligence for personal injury incurred in connection with the use of said product(s) and any and all damages

proximately resulting therefrom.

CAUTION

The instrument should be operated only by technically qualified individuals who have fully read and understand

these instructions. The instrument should be operated only in accordance with these instructions.

The operator should follow all ,of the warnings and cautions set forth in the manual and the operator should follow

and employ all applicable standard laboratory safety procedures.

LECO'" is a registered trademark of the LECO Corporatio

who made the first game

A William Shakespeare
B Horace Alexander
C Doris Twitchell Allen
D William higginbotham

Answers

I think the answer is D

Hope this helps

A moving coil meter has a resistance of 25 and indicate full scale deflection when a current of 4.0mA flows through it.How could this meter be converted to a millimeter having a full scale deflection for a current of 50 mA?​

Answers

GivenG=25,lg=10mA=10×10 power by 3A,v=100V
To find resistance(Rs)
Formula R

s=
lg−G
V


Calculations by formula
R

s=
(10×10
−3
−25
100


=10000−25
=9975
Ans- resistance by 9975Ω

By adding an external resistor of  287.5 Ω in series with the meter, the conversion of the moving coil meter to have a full-scale deflection for a current of 50 mA.

Current sensitivity (S) is the ratio of full-scale deflection current to full-scale deflection voltage.

S = I(fsd) / V(fsd).

S = 4.0 / 25

S = 0.16 mA/Ω

Desired current sensitivity for 50 mA (S(new)) = 50 mA / V(fsd)

(S(new)) = 50 mA / V(fsd)

(S(new)) =  50  / 0.16

(S(new)) =  312.5 Ω

Add External Resistor:

Add an external resistor (R(ext)) in series with the meter. Calculate R(ext) as the difference between R(new) and the internal resistance of the meter

(R(internal) = 25 Ω:

R(ext) = R(new) - R(internal)

R(ext) = 312.5 Ω - 25 Ω

R(ext) = 287.5 Ω

By adding an external resistor of  287.5 Ω in series with the meter, the conversion of the moving coil meter to have a full-scale deflection for a current of 50 mA. This will achieve the desired result.

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The mass of a car is 2000 lbs, and is traveling 100 mi/hr on the freeway, what is its momentum?

Answers

Answer:

momentum= 145999324.8(kg(m/s))

Explanation:

formula for momentum: p=mv

where p= momentum, m=mass, and v=velocity.

p=2000lbs(100mi/hr)

The standard unit for mass is kg

2000lbs=907.2kg

standard unit for velocity is meters/sec

100mi=160934meters.

907.2kg(160934m/s)=145999324.8

what are two variables that are always in every experiment?

Answers

the independent variable and the dependent variable.

can someone explain it please?​

Answers

Answer:

The answer is 9.4 m/s

Explanation:

Because you add 5.0 + 4.5= 9.4

What is velocity? Explain.​

Answers

Answer:

The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time. Velocity is equivalent to a specification of an object's speed and direction of motion (e.g. 60 km/h to the north).

a 3 kg rock is falling from a rock ledge in the absence of air resistance how much force will the rock strikes the ground with

Answers

Answer:

papi sus

Explanation:

how to prove the first linear motion

Answers

Answer:

Then solve for v as a function of t. This is the first equation of motion . It's written like a polynomial — a constant term (v0) followed by a first order term (at). Since the highest order is 1, it's more correct to call it a linear function.

Explanation:

Yep that is correct

what is the most likely reason for the difference between how the compass works on earth and on the moon?

Answers

Answer: A compass taken to Earth's moon does not point in a specific direction on the moon. The moon does not have a strong magnetic field.

anything that has mass and occupies space is called

Answers

Anything that has mass and occupies space is called matter.Matter is of three types:SolidLiquidGas

Answer:

Matter

Hope you could get an idea from here.

Doubt clarification - use comment section.

A 150 g sample of brass at 100 °C is placed in a Styrofoam cup of water containing 120 mL of water at 10 °C. No heat is lost to the cup or surroundings. What is the final temperature of the mixture? answer in celsius​

Answers

Answer:

≈19.144°C.

Explanation:

all the details are in the attachment.

Note, that c₁, m₁, t₁ are the parameters of the sample of brass; c₂, m₂ and t₂ are  the parameters of the sample of water.

P.S. change the provided design according Your requirements.

Depth perception is also known as ___________ vision.

Answers

Answer:

depth from optical expansion

Explanation:

Other Questions
Read the story.Racing to RaceCarlo stopped to rest for a minute and tried to catch his breath. Hed been running for so long that he had pains in his side and his legs were beginning to hurt. He hunched over and tried to expand his lungs, but it was like trying to suck air out of a bicycle tire. His body was too exhausted to even allow him to take a deep breath, and he started to wheeze again.Great, he thought, let me just add asthma to my expanding list of ailments. I cant believe that I cant even jog two miles without completely collapsing! He finally gave in to his aching body and laid down on the grass to recuperate. He closed his eyes and tried to imagine himself running on the school track in the 1,600-meter race. He pictured himself running steadily toward the finish line, running effortlessly like a cheetah in the jungle. He was so lost in thought that he didnt even hear Meiya approach.Hey sleepyhead, what are you doing napping on Seans lawn in the middle of the day? Meiya asked playfully.Carlo quickly sat up, breathing normally now and feeling a little embarrassed. I am trying to get in shape to try out for track, but I cant even run two miles, he said dejectedly.Wait, how many months are you out of surgery? Didnt you just finish rehab last week? Meiya asked. You cant expect to run two miles the first day.It had been six months since Carlos surgery and he specifically remembered the doctor telling him he could start running after six months. But he thought about what Meiya had said and realized she had a good point. After his surgery, the doctor did say rehab would be crucial to his recovery but that it would take time for him to gain back full use of his leg. He thought about how a baby had to learn to walk before it could run. He remembered when his nephew was learning to crawl; within days it seemed like he was walking. Running didnt come right away, Carlo remembered. He realized it was the same with his therapy. The maximum he had run in the past month was one mile on the treadmill, so he realized that Meiya was probably right. He would have to work at building up his endurance and set more realistic goals for himself. As he thought about what he had already accomplished, he started to smile and felt like a weight was being lifted off his shoulders. He realized that he had run almost a mile and a half before his body started to protest and if he kept working hard, he could get back to where he was before his accident.Since when did you get so smart, Dr. Meiya? he teased. Do you want to race to the next mailbox?Youre on! she challenged and took off running at full speed........................................................Part AWhat is a central theme of Racing to Race?A. Hard work and patience will eventually pay off.B. Exercise can help heal a persons physical body.C. Perseverance is something that is difficult to achieve.D. When people work together, they can accomplish more......................Question 2Part BWhich statement best shows how the theme identified in Part A is developed in the story?A. Carlo pictures himself winning a big race on the school track team; when he realizes that he may not be able to run, he is very discouraged and disappointed.B. Meiya knows that she is faster than Carlo, so she does her best to encourage him and also lets him win a race between them to boost his spirits.C. Carlo is impatient about his ability to train for track tryouts, but after his conversation with Meiya, he realizes it will take time and work to heal his injury and fully recover.D. Carlo realizes that he may not be able to compete on the school track team but also discovers that, with time, he will still be able to participate in a sport he loves. Does the equation have one solution, no solutions, or all solutions? 7x + 4 = 9(x-1) Identify the terms and like terms in the expression.3n+7n3 Based on "Lincoln the Great," I could infer that popular American perceptions of Lincoln were overwhelminglypositive,and closely related to his role in theCivil War. . Which situation is a good time to use a sentence fragment?answers:if you want to write a letter to the mayor asking for more parksif you want to show how two people really talk to each otherif you want to describe a novel's setting very preciselyif you want to impress your teacher with your how-to essay how much evaporated milk equals 1 cup of whole milk? Is the point (-2,5) a solution to the inequality y is greater than or equal to 5x+ 7 Jiana is a flight attendant for a large airline. She exclusively works a long flight from Japan to New York and is expected to constantly maintain a positive attitude no matter what situation arises. Over the years, Jiana has noticed that when dealing with Americans, emotions tend to run higher, and she often feels frustrated, as opposed to Japanese flyers who tend to be more reserved in stressful or unhappy situations. Jiana has spoken with her supervisor about the stress caused when working with the American emotionality and hopes some suggestions for resolution will be made. If Jiana wants to reduce the amount of psychological damage caused by the emotional dissonance her job creates, she should Select one: a. engage in surface acting. b. engage in deep acting. c. take acting lessons. d. see a psychologist. e. get more training SOMEONE HELP ME WITH THIS ASAP FOR BRAINLIEST THANK YOU! GUYS PLEASE HELP!!! Please help me 50 POINTS and BRAINLIEST TO CORRECT ANSWER!!!!!!! 1/7 of ___ is 1/35help me plz :) PLz help me! We r doing semester finals and i need to get this lesson finished in 2 hours so i can get my grade up! Austin owns a food truck that sells tacos and burritos. He only has enough supplies to make 110 tacos or burritos. He sells each taco for $4.75 and each burrito for $9.50. Austin must sell no less than $760 worth of tacos and burritos each day. If xx represents the number of tacos sold and yy represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution. which two observers would be experiencing the same apparent solar time? The Sun has a mass of 1.99 x 10^30kg [^30 is an exponent] and is 1.5 x 10^11m [^11 is an exponent] from the earth. The planet Earth is 5.98 x 10^24kg [^24 is an exponent]. What is the gravitational attraction between the sun and the earth? G=6.6710^-11 (-11 is an exponent) Is (9, 6) a solution to this system of inequalities?17x + 12y > 1910x + 5y > 13 change 4700g into kg pls help! this is due today!For each sentence below, write each common noun and each proper noun. Identify each type of noun by writing N or P after each noun. You must label every noun in every sentence as N or P.1. Cherokee Indians make beautiful pottery and jewelry. Turquoise and silver are the main types of stones in Indian jewelry.2. Tallahassee is the state capital of Florida. Orlando is the main tourist destination in Florida. My favorite park is Marineland.3. The pecan trees bear nuts every other year. It is a chore to pick them up from the ground, but Grandmother's pecan pies make it worthwhile.4. The United States imports coffee from Brazil. Starbucks is the biggest coffee retailer in the world. Columbian coffee is the most popular coffee everywhere.5. Is Alaska is the largest state in the union? I know Rhode Island is the smallest. Texas is a fairly large state, too. Can U solve it plz explain fully !