A pool player makes a shot on a pool table. The 0.17 kg cue ball strikes the 0.15 kg #8-ball, but it is not sunken on the table. Instead, the 8-ball bounces off a rail, and collides into the cue ball a second time. When they collide in a perfectly elastic collision, the cue ball is travelling 1.2 m/s [N10°E) and the 8-ball is travelling 0.89 m/s [W20°N]. Determine the final velocities of each ball.
Answers
Answer:
cue ball final: 0.85 m/s at N65°W
8-ball final: 1.27 m/s at N12°E
Explanation:
In a perfectly elastic collision, both momentum and energy are conserved. The momentum is the sum of products of mass and velocity. The energy is half the product of mass and the square of velocity. The difference of "particle" velocities changes sign as a consequence of the collision.
__
equations for final velocityIf we let the masses be m1 and m2, the corresponding initial velocities be v1 and v2, and the final velocities be u1 and u2, we have ...
m1·u1 +m2·u2 = m1·v1 +m2·v2 . . . . . . . conservation of momentum
u1 -u2 = v2 -v1 . . . . . . . . . . . . . . . relative velocity sign changes
This pair of linear equations can be solved for u1 and u2 in any of the usual ways to give ...
u1 = v1(m1 -m2)/(m1 +m2) + v2(2·m2)/(m1 +m2)
u2 = v2(m2 -m1)/(m1 +m2) +v1(2·m1)/(m1 +m2)
__
application to this problemUsing angle measures as clockwise from north, we are given ...
cue ball: m1 = 0.17 kg, v1 = 1.2∠10° m/s
eight ball: m2 = 0.15 kg, v2 = 0.89∠-70° m/s
A suitable calculator can find the final velocities using the above equations.
The first attachment shows the calculations using a TI-84 work-alike calculator.
cue ball final: 0.85 m/s at N65°W
8-ball final: 1.27 m/s at N12°E
The second attachment shows a vector diagram of the velocities.
Related Questions
A force of 20 N is applied tangentially to a wheel of mass 10 kg and diameter 5 m. Calculate the torque applied and angular velocity at the end of 10 second?
Answers
Answer:
N = 2010 + 10 + -5 = 20N + -5 = 10 -5 + 20Therefore , the answer is N=20Explanation:
#BrainliestBunch15 points!! PLEASE ANSWER! I NEED IT QUICK!
What happens to the energy of a wave if the amplitude of the wave is doubled?
How does the frequency of a wave relate to the energy of the wave?
Answers
Answer:
See below ↓
Explanation:
We know that the energy of a wave is directly proportional to the amplitude of a the wave. That means it directly varies, so when one increases/decreases, the other does the same.
Therefore, when the amplitude of a wave is doubled, the energy of the wave is also doubled.
Similarly, in the case of the frequency of the wave, it is also directly proportional to the energy of the wave.
⇒ E ∝ ν
Infrared radiation is part of a 'family' of waves that also includes visible light and radio waves. What name is given to this 'family'? Give the full name, not the abbreviation.
Answers
Infrared radiation is a part of electromagnetic waves,which also include the visible light and radio waves.
What are electromagnetic waves?The electromagnetic radiation consists of waves made up of electromagnetic field which are capable of propogating through space and carry the radiant electromagnetic energy.
The radiation are composed of electromagnetic waves which are synchronized oscillations of electric and magnetic fields . They are created due to change which is periodic in electric as well as magnetic fields.
In vacuum ,all the electromagnetic waves travel at the same speed that is with the speed of air.The position of an electromagnetic wave in an electromagnetic spectrum is characterized by it's frequency or wavelength.They are emitted by electrically charged particles which undergo acceleration and subsequently interact with other charged particles.
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Please help me with the blanks
Answers
Answer:
wavelength and frequency
Explanation:
wavelength is the distance between waves while frequency is the number of times in which the wave occurs.
Please help answer the following questions ASAP
Answers
Answer:
renewable are fuels that can be reused while non renewable are fuels that can not be used again
Superkid, finally fed up with Superbully's obnoxious behaviour, hurls a 1.35 kg stone at him at 0.501 of the speed of light. How much kinetic energy do Superkid's super arm muscles give the stone
Answers
Answer:
See below
Explanation:
A lot !
KE = 1/2 m v^2
= 1/2 * 1.35 * ( .501 * 3 * 10^8)^2 =
1.5248 x 10^16 j
kinetic energy do Superkid's super arm muscles give the stone is 62.6 × 10⁶ J.
What is kinetic energy ?Kinetic energy is the energy associated with a motion of a body. When a body is in motion having mass m then it has kinetic energy. Kinetic energy is denoted by K or T. it is expressed in joules. Kinetic energy is given by,
K = 1/2 mv²
Hence an object having zero mass or zero velocity have zero kinetic energy.
In this problem the stone is moving with velocity which is comparable with the speed of light, hence we have to find relativistic kinetic energy.
The relativistic kinetic energy is given by,
[tex]K = m_{0} c^2(\frac{1}{\sqrt{1-\frac{v^2}{c^2}} } -1)[/tex]
putting all the values in the equation
[tex]K = 1.35*3*10^8(\frac{1}{\sqrt{1-\frac{(0.5c)^2}{c^2} } }-1 )[/tex]
K = 62.6 × 10⁶ J
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How much work do you do on a 25- kg backpack when you walk a horizontal distance of 100m ?
Answers
Answer:
2,500
Explanation:
A step-up transformer increases the voltage 20 timesIf the voltage of the primary coil is 100V_{i} what is the voltage of the secondary coll? Answer only a number without units or commas
Answers
Answer:
2000
Explanation:
well it is just 20 * 100 = 2000 v
A monochromatic light passes through a narrow slit and forms a diffraction pattern on a screen behind the slit. As the slit width increases, the diffraction pattern:.
Answers
As the slit width increases, the diffraction pattern gets narrower and vice versa.
Relationship between width and diffraction patternThe increase in silt width leads to the narrowing of diffraction pattern of the light because the increase of width reduces the space for the passing of light wave.
So we can conclude that as the slit width increases, the diffraction pattern gets narrower and vice versa.
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An astronaut floating alone in outer space throws a baseball. If the ball moves away at 20 m/s, the astronaut will:.
Answers
Answer:
Move the opposite direction ( at a lesser magnitude of velocity)
Explanation:
There are ___ particles that make up an atom which are the smallest unit of an ___.
Answers
Answer:
subatomic, element
Explanation:
Subatomic particles are protons, neutrons, and electrons. Atoms are the smallest unit of an element.
What is simple harmonic oscillation? express your answer verbally, mathematically, and visually.
Answers
Simple harmonic motion is the motion in objects where the restoring for d is directly proportional to the body displacement.
What is simple harmonic motion?Simple harmonic motion a type of periodic motion where the force that restores moving object to it's right position is directly proportional to the magnitude of body's displacement and this normally acts towards the object's equilibrium position.
The formulate for simple harmonic motion are
,F = −kx, where F is the force, x is the displacement, and k is a constanst. An example of a simple harmonic oscillator is the vibration of a mass attached to a vertical spring.
Simple harmonic oscillator can be represented by the equation x ( t ) = A cos ( 2 π f t ) x(t) = A\cos(2\pi f t) x(t)=Acos(2πft)x,
where t is period.
x is displacement
A is amplitude.
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describe the ways that people are trying to use technology to protect the environment and increase sustainability.
WILL NAME BRAINLIEST please help
Answers
Answer:
One way people are using technology to protect the environment is:
Using digital devices for communicating and storing information means that there is less reliance on paper, which reduces deforestation. Since trees are an important source of oxygen and also absorb carbon dioxide, this further reduces climate change.
Environmental technology has enabled us to capture this naturally occurring energy and convert it into electricity or useful heat through devices such as solar panels, wind, and water turbines.
Explanation:
Have a great of your day
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(b) Fig. 7. 2 shows a metal sphere on an insulating support.
C
Fig. 7. 2
A student has available two rods, one charged positively and one charged negatively. Using
one of these rods, she gives the sphere a uniform negative charge by induction
State which rod she chooses, and describe the procedure she follows.
Answers
The rod she chooses, to give the sphere a uniform negative charge by induction is the positively charged rod.
Charging by inductionCharging an object by induction is a process of inducing a charge on the object by bringing another charged object close to it.
Charge on the sphereWhen a positively charged rod is brought near a neutral sphere (equal negative and positive charge), the positive charge of the rod will repel the positive charge of the sphere, leaving the sphere with excess negative charge.
Thus, the rod she chooses, to give the sphere a uniform negative charge by induction is the positively charged rod.
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Magnetism is due to the movement of ______.
Answers
Answer:
electrons
Explanation:
Brainliest
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Magnetism is due to the movement of charge
Both magnetic fields are caused due to attraction and repulsion of charges, where electric fields is caused by stationary charges, while magnetic fields are caused by moving charges
A scientist adds different amounts of salt to 5 bottles of water. She then measures how long it takes for the water to boil. What is the responding variable in this experiment? 0 A. The kind of bottles used O B. The brand of salt used O C. The amount of salt added to the water O D. The time it takes for the water to boil
Answers
Answer:
d.the time it takes for the water to boil
Explanation:
it is because salt was added to the water.so the responding variable is the time taken to boil the water
Question 4
20 pts
A student connects a length of unknown
material in series with a battery and an
ammeter (which measures current flow).
When the circuit is complete, the ammeter
reads that no current is flowing.
The unknown material is most likely –
Insulator
Semiconductor
Superconductor
Conductor
Answers
If current did not flow in the circuit, it simply implies that the material is an insulator.
What is an insulator?An insulator is a material that does not conduct electricity. A circuit is a path that is provided for the flow of current.
If this material was connected into a complete circuit yet current did not flow in the circuit, it simply implies that the material is an insulator.
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An inductor produces a back emf in a dc series rl circuit when a switch connecting the battery to the circuit is closed. We can explain this by.
Answers
Hi there!
Let's say that a series RL circuit is constructed, with the switch left open.
When the switch is closed, a current will start flowing in the circuit. The INCREASING current will go through the loops of the inductor, producing an INCREASING magnetic field and consequentially a magnetic flux through the inductor. (Use hand rules).
However, the inductor does NOT want to experience this increasing magnetic flux, so an emf in the OPPOSITE direction of the current will be produced to counteract the increasing flux. (The flux would also be in the opposite direction).
This is expressed with the equation:
[tex]\epsilon = -L \frac{di}{dt}[/tex]
ε = Back emf (V)
L = Inductance (H)
i = Current (A)
t = time (s)
With the negative sign, we can see that if the current of the circuit is INCREASING, the emf produced would be in the opposite direction.
For pea plants, T represents a dominant allele for tall pea plants and t is the recessive allele for short pea plants. If two plants with the Tt genotype are crossed, what is the probability that offspring will exhibit the dominant trait?
Answers
Answer:
75%(TT,Tt,tt) Hope that helps
Copper (II) chloride reacts with magnesium nitride
Answers
Answer:
I don't know
Explanation:
because I'm not smart
What will happen to the period of a ball-on-a-spring if the ball is replaced by a smaller one with half the mass
Answers
When the ball on a spring is replaced by a smaller ball with half the mass : The period decrease by 29%
Calculate the Period
We will apply the formula below to calculate period
T = [tex]2\pi \sqrt{\frac{m}{k } }[/tex]
where :
T₁ / T₂ = [tex]\sqrt{\frac{m_{1} }{m_{2} } }[/tex] where m₂ = m₁ / 2
Therefore :
T₂ = [tex]\frac{T_{1} }{\sqrt{2} }[/tex] = 0.71 T
Hence we can conclude that the period will decrease by 29% ( i.e 100 - 71 ).
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Two thermometers are calibrated, one in degrees Celsius and the other in degrees Fahrenheit. At what temperature are their readings numerically the same
Answers
Answer:
To change degrees Celsius in degrees Fahrenheit, the formula is:
F = 1.8C +32F=1.8C+3
Explanation:
C = 1.8C +32C=1.8C+32
C = -40C=−40
T=-40+273.15=233.15\ KT=−40+273.15=233.15 K
The worker in the picture is
a.) letting the pulley do all the work
b.) not doing work because he is using a pulley
c.) doing work because he is moving the bale of cotton
d.) transforming mechanical energy to potential energy
Answers
Answer:
the worker is doing work because he is moving the bale of cotton
Consider the following statements.
A. Heat flows from an object with higher
thermal energy to one with lower thermal energy;
B. Heat flows from an object at higher tem-
perature to an object at lower temperature;
C. Heat flows from an object in liquid state
to an object in solid state.
Which statements are true?
Answers
Answer:The heat flows from an object at a higher temperature to the object at a lower temperature. Thus the option A is correct.
Explanation:What is heat flow?
The flow of heat is the transfer of heat that concerns its generation, use and conversion, and exchange.The heat flow follows the laws of the thermodynamics. Heat will flow from the body that is at a higher temperature and will move towards a body of a lower temperature. Thereby maintaining an equilibrium state. As energy is needed to warm or heat up the cold body there is an exchange of energy that takes place.
please answer this small qustion of what happens whan oil is in the ochen
Answers
Answer:
When oil is spilled in the sea it will normally break up and be dissipated or scattered into the marine environment over time. This dissipation is a result of a number of chemical and physical processes that change the compounds that make up oil when it is spilled. The processes are collectively known as weathering.
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A sample of helium behaves as an ideal gas as it is heated at constant pressure from 273 K to 388 K. If 80 J of work is done by the gas during this process, what is the mass of the helium sample? The universal gas constant is 8.31451 J/mol · K. Answer in units of g
Answers
The mass of the helium gas sample after the work is done by the gas during the process is 0.099 g.
Number of moles of the helium gasThe number of moles of the helium gas is calculated as follows;
W = nRT
where;
n is the number of molesW is the work doneR is universal gas constant = 8.31451 J/mol · KT is the final temperature = 388 K273 K = 0⁰C and 388 K = 115⁰ C
from 0⁰C to 115⁰C = 115 - 0 = 115⁰ C
115⁰ C = 388 K
The number of moles is calculated as follows;
n = W/RT
[tex]n = \frac{80}{8.315 \times 388} \\\\n = 0.0248 \ mol[/tex].
Mass of the helium sampleMass of the helium sample is calculated as follows;
m = Mn
where;
M is the molar mass of helium gas = 4 g/molm = 4 g/mol x 0.0248 mol
m = 0.099 g
Thus, the mass of the helium gas sample after the work is done by the gas during the process is 0.099 g.
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Levi observed properties of three different waves and recorded observations about each one in his chart. which statement is best supported by the table? wave w and y are light waves. wave x is a sound wave. wave w is a light wave. waves x and y are sound waves. waves y is a sound wave. waves x and w are light waves. wave w is a sound wave. waves x and y are light waves.
Answers
For the three different waves observed and recorded, Waves X and Y are light waves. This is further explained below.
What is a wave?Generally, A wave is simply defined as a disturbance that propagates through a medium from one point to another.
In conclusion, Wave Z is impossible to classify, Waves X and Y are light waves, and Wave W is a sound wave.
Read more about Wave
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Answer:
D
Explanation:
How do you boost the amount of electricity a fuel cell system produces?.
Answers
The amount of electricity a fuel cell system produces is boost by combined to form a fuel cell that is battery.
What is battery?A battery is a device that uses an electrochemical oxidation-reduction (redox) cycle to turn the chemical energy included in its active components directly into electric energy. An electric circuit is used in this kind of reaction to transmit electrons from one substance to another.
The actual elector-chemical unit used to produce or store electric
For this one it should be A single fuel cell generates approximately one volt of electricity. Individual fuel cells are combined to form a fuel cell stack to enhance the amount of electricity produced.
The amount of electricity a fuel cell system produces is boost by combined to form a fuel cell that is battery.
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Please Answer this question
Answers
Answer:
T = 14.7 N
Explanation:
When released the two blocks will accelerate
See diagram below (hope it is not too confusing or unclear)
Do people actually see me inverted?☹
Answers
Answer:
of course is clear
Explanation:
very clear