In a billiards game, one player hits the cue ball towards another ball. The cue ball has a mass of 0.1kg and hits the other ball with a velocity of 2m/s. If the collision is completely elastic and the cue ball travels with a velocity of 0.8m/s after the collision, what is the mass and velocity of the other ball?​

Answers

Answer 1

Answer:

  3/70 kg ≈ 0.04286 kg

  2.8 m/s

Explanation:

In a perfectly elastic collision, the total momentum of the system is constant, and the difference in velocities changes sign.

We assume the other ball is at rest initially, and that the collision is "head-on." That is, final velocities are in the same direction as the initial velocity of the cue ball. We further assume no energy loss, and that the balls do not rotate.

__

initial momentum

Assuming the ball being hit is initially at rest, it contributes no momentum to the system. The total momentum is ...

  (0.1 kg)(2 m/s) = 0.2 kg·m/s

__

initial velocity difference

If the cue ball has velocity v1 and the hit ball has velocity v2, the initial difference of velocities is ...

  v1 -v2 = 2 m/s -0 m/s = 2 m/s

__

final velocity difference

After the collision, we must have ...

  v1 -v2 = -2 m/s . . . . the velocity difference changes sign

  v2 = v1 +2 m/s = 0.8 m/s +2 m/s

  v2 = 2.8 m/s

The velocity of the other ball is 2.8 m/s after the collision.

__

mass of the other ball

The total momentum after the collision is the same as before, so we must have ...

  m1·v1 +m2·v2 = initial momentum

  (0.1 kg)(0.8 m/s) +(m2)(2.8 m/s) = 0.2 kg·m/s

  m2 = (0.2 kg·m/s -0.08 kg·m/s)/(2.8 m/s) = (0.12/2.8) kg = 3/70 kg

The mass of the other ball is 3/70 ≈ 0.04286 kg.


Related Questions

When a potassium atom forms an ion, it loses one electron. what is the electrical charge of the potassium ion? −2 −1 1 2

Answers

The electrical charge of a Pottasium ion that loses one electron is +1. Details about charge of an ion can be found below.

How is the charge of an ion formed?

An ion is an electrically charged atom. This charge is formed as a result of the difference between the number of protons and electrons in that atom.

According to this question, a potassium atom forms an ion by losing one electron. This means there will be one more proton than electron in the element.

Therefore, the electrical charge of a pottasium ion that loses one electron is +1.

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A car of mass 800 kg travels over a hill of height h. By travelling to the top of the hill, the car gains 40000 J of gravitational potential energy. The gravitational field strength g is 10 N /kg​

Answers

[tex] \sf\huge{\underline{\underline{\overbrace{Answer}}}} [/tex]

The height of the hill is 5m.

Explanation:

Given :-

Mass of the car (m) = 800kg

Height of the hill (h) = ?

Gravitational field strength (g) = 10N/kg

Potential energy (P.E.) = 40,000J

To find :-

The height of the hill

Solution :-

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⠀⠀⠀ ⠀⠀■ Note

The gravitational potential energy is the energy acquired by the object when the mass of the object is under the gravitational pull of the earth. It is directly proportional to mass and height of the object. If the mass or the height of the object increases the potential energy also increases.

⠀⠀⠀⠀⠀□ Example

If we keep a book on the table and if we push the book from the table. This will result in the falling of the book on ground due to gravitational pull of the earth of it's mass and height.

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

While formula to find potential energy is

[tex] \tt{\Large {P.E. = mg}}h[/tex]

But we need to find 'h'

so the formula for 'h' will be

[tex] \bold{\Large {h = \frac{P.E. }{mg} }}[/tex]

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

Now substituting the required values.

[tex] \sf \hookrightarrow h = \frac{40000}{800 \times 10} \\ \\ \\ \sf \hookrightarrow h = \frac{40 \cancel 0 \cancel 0 \cancel 0}{8 \cancel 0 \cancel 0 \times \cancel{10}} \\ \\ \\ \sf \hookrightarrow h = \frac{ \cancel{ 40} \: \:{ \small{5}}}{ \cancel 8} \\ \\ \\ \boxed {\hookrightarrow h = 5m}[/tex]

When blue light shines into a prism what happens?

Answers

Answer:

Blue light has the shortest wavelength amongst all the colours that combine to make white light. This means the blue light diffracts (bends) the most out of all of them. There will be no dispersion of colours because ideally, the blue light must consist of only one frequency.

1. Endorphins
2. Cardiovascular
3. Endurance
4. Muscular
5. Aerobic
chemicals your brain releases when you exercise
the ability to last a long time without tiring
using your heart, lungs and blood vessels
using oxygen
using your muscles
can u help me match them

Answers

endorphins - chemicals ur brain releases
endurance - ability to last a long time training
cardiovascular- using ur heart lungs blood vessels
using oxygen - aerobic
using muscle - muscular

Calculate the molar mass of glucose

Answers

Let's calculate

[tex]\\ \rm\Rrightarrow C_6H_{12}O_6[/tex]

[tex]\\ \rm\Rrightarrow 6(12)+12(1)+6(16)[/tex]

[tex]\\ \rm\Rrightarrow 72+12+96[/tex]

[tex]\\ \rm\Rrightarrow 180g/mol[/tex]

What can you say about the effort force needed to lift an object using an ideal lever with a force advantage greater than 1?

Select one:
a. The effort force is the same as the lifting force.
b. The effort force is less than the lifting force.
c. The effort force is greater than the lifting force.
d. You have to use the formula to calculate the effort force.

Answers

When the effort force needed to lift an object using an ideal lever with a force advantage greater than 1,  The effort force is less than the lifting force. The correct option is b.

What is force advantage?

Force is the mechanical physical quantity. The force advantage is equivalent to the mechanical advantage equal to the ratio of output to the input force.

The force advantage is

F.A = lifting force / effort force

When the effort force is greater, FA is less than 1. When FA is greater than 1, definitely, the effort force is less.

Thus, the effort force is less than the lifting force. The correct option is b.

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Match each type of heat transfer method with its description.

Answers

Question ↷

Match each type of heat transfer method with its description.

Conduction | Convection | Radiation

relates to density differences within fluidsdoes not require a medium or physical contact to transfer heat. occurs during physical contact between solid objects not in thermal equilibriumAnswer↷

Conduction ↪ occurs during physical contact between solid objects not in thermal equilibrium.

________________________________

Convection↪ relates to density differences within fluids.

________________________________

Radiation ↪does not require a medium or physical contact to transfer heat.

________________________________

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⋆-HOZI3RSMUS3-⋆

In a building, air moves due to currents caused by temperature differences. Which

A. statement best describes these currents?

B. They transfer thermal energy due to radiation.

C. They transfer electrical energy due to convection.

D. They transfer thermal energy due to convection.

Answers

Answer:

D. they transfer thermal energy due to convection

In a building, air moves due to currents caused by temperature differences. They transfer thermal energy due to convection. this statement best describes these currents. Hence option D is correct.

What is Temperature ?

Temperature is a physical quantity which measures hotness and coldness of a body. Temperature measures the degree of vibration of molecule in a body. Temperature is measured in centigrade (°C), Fahrenheit (°F) and Kelvin (K) in which Kelvin (K) is a SI unit of temperature. Absolute scale of temperature means Kelvin scale of temperature. relation between Kelvin(K) and centigrade (°C), °C= K - 273.15 from equation, 273.15 K means 0 °C, which is freezing point of water (ice). when we give temperature to the body, its molecule or atom absorbs thermal energy and vibrate about their mean position. Amplitude of vibration get increases as we go on increasing temperature and for higher temperature force of attraction between molecules gets weaker. Hence for higher temperature, due to weaken the force of attraction between molecule, solid goes into liquid state. and further increase in temperature liquid goes into gaseous state.

Hence option D is correct.

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A very rigid material—one that stretches or compresses only slightly under large forces—has a large value of __________.

Answers

Answer: young's modulus

Explanation: A very rigid material—one that stretches or compresses only slightly under large forces—has a large value of young's modulus .

At time t = 0 s, an object is moving to the right
with a velocity v that can be modeled by the
equation v=(4.2 m/s)-(1.4 m/s?)t. At what time,
if any, does the object change its direction of
motion?

Answers

This object should not change its direction of motion because despite its velocity it will be still moving to the right.

What does the equation describe?

The equation describe the velocity of an object and how this velocity changes depending on time.

How is the direction of motion relate?

The equation does not describe the direction of motion. Due to this, it is expected the direction is the same and does not change.

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A book with a mass of 1 kg is sitting on a desk. How much gravitational force is acting on the book? 1N 0 N 9.8 N 0.98 N​

Answers

The gravitational force is always equal to the mass times the acceleration due to the gravitational force:

 ⇒ In this case

mass: 1 kgacceleration due to gravitational force: 9.8 m/s²

Let's calculate:

 [tex]Gravitational_.Force = 1kg*9.8m/s^2=9.8N[/tex]

Answer: 9.8 N

Hope that helps!

a bus velocity 20m/s towards the east and another bus has velocity 15m/s in west direction.if they start to move from a point simultaneously.what distance do they cover in 2 minutes. what will be their separation.

Answers

Answer:

Velocity towards east = 20m/s

Distance in 2 min(120 sec) = 20 x 120= 2400m = 2km

Velocity towards west = 15m/s

Distance in 2 min(120 sec) = 15 x 120 = 1800m = 1.8km

Separation= 2+1.8 = 3.8km

Explanation:

Hope it helps you:))))))

have a good day

A sound wave has a speed of 345 m/s and a wavelength of 4.15 meters. what is the frequency of this wave?
a. 83 hertz
b. 67 hertz
c. 125 hertz
d. 145 hertz

Answers

Answer:

a is the correct answer

from the formula of wave length=v/f

therefore f= v/wave length

these implies f= 345/4.15 = 83.1hertz

A pendulum is lifted to a height of 0.75 m. the mass of the bob is 0.2 kg. calculate the gpe at the top of the pendulum

Answers

GPE = mgh
GPE = 1.4715

Emotional elevation only occurs in animal kin groups. please select the best answer from the choices provided t f

Answers

Emotional elevation can occur in individuals or in groups, therefore, it is false that emotional elevation only occurs in animal kin groups.

What is emotional elevation?

Emotional elevation is the process whereby the moods of individuals are elevated due to their interactions with others or due to other factors.

Emotional elevation can occurs in individual animals or those on animal kin groups.

Therefore, it is false that emotional elevation only occurs in animal kin groups.

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Answer:

F

Explanation:

Could a person survive in a falling lift if they jumped as it hits the ground?

Answers

Answer:

Expect a broken leg or two, but you'll live, Some part of your body must absorb the impact, but head injury is the primary cause of death in falls.

Explanation:

A glass rod with yellow crosses on it touches a sheet of silk covered with negative signs on it. the sheet of silk is sticking to the glass rod in several places. use the drop-down menu to answer the question. a student is going to produce static charge in a glass rod by rubbing it with a piece of silk. which method of transferring charge does this image illustrate?

Answers

The image as shown here can here can be used to describe charging by induction.

What is a charge?

A charge may be positive or negative. One of the methods of transferring a charge is by induction.

In this case, an objects induces an opposite charge on a material.  The image as shown here can here can be used to describe charging by induction.

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Answer:

friction

Explanation:

An ammeter is a device that measures _____.

the type of charge on a resistor
the current through a resistor
the voltage across a resistor
the potential of the battery

Answers

B. The current through a resistor. An ammeter can measure a wide range of current values because at high values only a small portion of the current is directed through the meter mechanism; a shunt in parallel with the meter carries the major portion.

What is the surface area for a rectangular prism with the height of 6 inches, width of 8 inches, and the length of 4 inches

Answers

Answer:

208 is the surface area!

Explanation:

Hope this helps! ;-)

a child pulls a sled by a rope across at a constant speed
of the forces listed identify which act upon the sled
normal
gravity
applied
friction
tension
air resistance

Answers

Answer:

Normal, Gravitational, Applied, Friction, and Tension

Explanation:

Because the sled is on the ground, or rather because it is on the earth, it will have a force of gravity, or its weight, pulling it down.

There is a normal force because the sled is not moving into the ground, so there needs to be a force pushing on the sled from the ground. Additionally, Newton's 3rd law states that for every action there is an equal but opposite reaction, if it's in equilibrium or not moving.

There will be an applied force since the child is pulling the sled and is applying a force to do so.

There will be a friction force that is pulling the sled opposite the direction it is moving, since it is on the ground that is presumably not fricitonless.

There will be a tension force pulling on the sled by the rope. However there is also a tension force pulling on the child's hand by the rope, meaning that these are internal forces and essentially balance out, but they are still there.

There is no air resistance force, or very little of it, since the object is not falling.

The force of gravity on an object varies directly with its mass. The constant of variation due to gravity is 32. 2 feet per second squared. Which equation represents F, the force on an object due to gravity according to m, the object’s mass? F = 16. 1m F = F equals StartFraction 16. 1 Over m squared EndFraction. F = 32. 2m F = F equals StartFraction 32. 2 Over m squared EndFraction.

Answers

Answer:

F = 32.2 m

Explanation:

F = ma

F = m * 32.2

If the students shake their slinky so that the frequency of the waves they generate decreases, what will happen to the wavelength of the slinky

Answers

The wavelength of the slinky would increase

In a tug of war, team A is pulling the rope with a force of 60N towards the right and team B also applies 60N towards the left, what is the net force?

Answers

Answer:

[tex]f_n_e_t=0[/tex]

Explanation:

[tex]f_1+f_2=f_n_e_t[/tex]

because there are two different forces in different directions (left: negative, right: positive, down: negative, up: positive) so 60N left will be negative, and 60N right will be positive:

[tex]60+(-60)=0[/tex]

when two same forces apllied then the net force is zero.

Kelly walks 5 km to school. It takes her 1.5 hours. Calculate her speed in m/s

Answers

Kelly walks 5km.
1 km = 1000m.
5x1000 = 5000meters
1.5h = 90minutes
90miX60 = 5400s

10m/54s
And so on

What are challenges faced by both modern and ancient engineers?

Answers

Answer:

Climate Chrises

Explanation:

would you consider caffeine to be more or less toxic then arsenic explain

Answers

Caffeine is a widely recognized psychostimulant compound with a long history of consumption by humans. While it has received a significant amount of attention there is still much to be learned with respect to its toxicology in humans, especially in cases of overdose. A review of the history of consumption and the clinical toxicology of caffeine including clinical features, pharmacokinetics, toxicokinetics, a thorough examination of mechanism of action and management/treatment strategies are undertaken. While higher (i.e., several grams) quantities of caffeine are known to cause toxicity and potentially lethality, cases of mainly younger individuals who have experienced severe side effects and death despite consuming doses not otherwise known to cause such harm is troubling and deserves further study. An attempted case reconstruction is performed in an effort to shed light on this issue with a focus on the pharmacokinetics and pharmacodynamics of caffeine. Arsine gas is the most toxic form of arsenic. Inhalation of over 10 ppm is lethal and at concentrations higher than 25 ppm are reported to be lethal in less than an hour after exposure., while over 250ppm is reported to be instantaneously lethal.

what is the reading of this vernier scale​

Answers

Answer:

perturbateur ( le temps, le lieu, les personnages[description], la victime, l'enqueteur )

les peripeties

le denouement

Which electromagnetic has the shortest wavelength?.

Answers

Answer:

Gamma rays

Explanation:

Spaceship I, which contains students taking a physics exam, approaches Earth with a speed of 0.60c, while spaceship II, which contains instructors proctoring the exam, moves at 0.28c (relative to Earth) directly toward the students. If the instructors in spaceship II stop the exam after 50 min have passed on their clock, how long does the exam last as measured by (a) the students (b) An observer on the Earth?

Answers

Answer:

Let β = v / c          

proper time Δt'  is measured in a frame at the same place in a given frame - the proper time is measured in spaceship II moving at .28 c

a) spaceship I is moving at (.6 - .28) c = .32 c relative to proper time

Δt = Δt' / (1 - β^2)^1/2      as measured by students in ship I

Δt = 50 / (1 - .32^2)^1/2 = 52.8 m        measured by students

b) Δt = 50 / (1 - .28^2)^1/2 = 52.1 min  time elapsed for observer on earth

Read this article discussing the amount of time that people of various ages and education levels report spending on different technologies. Ask at least 12 of your adult friends and family members the same survey question. (The more people you ask, the better.) How do your survey results compare with the results in the article? What are some possible reasons your results might be different? When comparing the results, be sure to take into account the margin of error for the survey discussed in the article

Answers

The article is not found here but surveys are important because they are representative samples of a population.

What is a survey?

A survey is a useful tool based on population samples, which is used to make statistical analyses in a given investigation.

Differences in surveys are generally due to small sample sizes, which may lead to errors in the analysis of data.

In conclusion, the article is not found here but surveys are important because they are representative samples of a population.

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