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

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

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

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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

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this warranty.

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

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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.

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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

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

Answers

Answer:

first negative and then positve

what are two variables that are always in every experiment?

Answers

the independent variable and the dependent variable.

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:

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.

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

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

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).

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:

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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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

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.

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.

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.

Which form can solutions come in?

liquid

gas

solid

all of the above

Answers

Answer:

liquid

Explanation:

leave a thanks if helped  !

Depth perception is also known as ___________ vision.

Answers

Answer:

depth from optical expansion

Explanation:

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

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.

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

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.

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

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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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.

can someone explain it please?​

Answers

Answer:

The answer is 9.4 m/s

Explanation:

Because you add 5.0 + 4.5= 9.4

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]

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.

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.

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. 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