The velocity of the eight ball immediately after the collision is 1.41 m/s.
What is the final velocity of the eight ball after the collision?
The final velocity of the eight ball after the collision is calculated by applying the principle of conservation of linear momentum;
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
where;
m₁ is the mass of the cue ballu₁ is the initial velocity of the cue ballm₂ is the mass of the eight ballu₂ is the initial velocity of the eight ballv₁ is the final velocity of the cue ballv₂ is the final velocity of the eight ball(0.17)(1.35) + (0.156)(0) = (0.17)(0.06) + (0.156v₂)
0.2295 = 0.0102 + 0.156v₂
0.156v₂ = 0.2193
v₂ = 1.41 m/s
Learn more about velocity after collision here: https://brainly.com/question/16866920
#SPJ1
Tameika makes a table about sensory organs
Eye
skin
brain
tongue
Which organ should be removed from the table?
A. eye
B. skin
C. brain
D. tongue
Answer:
I think its d
Explanation:
I'm not sure I'm sorry if I'm wrong
use correct alternative to complete the indirect speech sentence
Answer:
where a picture
Explanation:
a saan Ang picture
A 10 kg box is move 5 m. How much work was done on the box?
Answer:
10
Explanation:
lyezurzup?y?ur if fk kgs7rsjzkgzitz
A mass of slug, when attached to a spring, stretches it feet and then comes to rest in the equilibrium position. Starting at , an external force equal to is applied to the system. Find the equation of motion if the surrounding medium offers a damping force that is numerically equal to times the instantaneous velocity.
Answer:
Equation of motion is x(t) = [tex]-te^{-4t}[/tex] + [tex]\frac{1}{4}[/tex] sin(4t)
Explanation:
P.S - The exact question is -
Given - A mass of 1 slug, when attached to a spring, stretches it 2 feet and then comes to rest in the equilibrium position. Starting at t = 0, an external force equal to [tex]f(t) = 8 cos(4t)[/tex] is applied to the system.
To find - Find the equation of motion if the surrounding medium offers a damping force that is numerically equal to 8 times the instantaneous velocity.
Proof -
Given that,
Mass = 1 slug
We know that, 1 slug = 32 lb
Now,
Force, f = kx
⇒32 = k(2)
⇒k = 16
Now,
Given that, C = 8 ( 8 times the instantaneous velocity)
Now,
The differential equation of motion is equals to
mx'' + Cx' + kx = 8 cos(4t)
⇒x'' + 8x' + 16x = 8 cos(4t) ...........(1)
Let the General solution of equation (1) be
x(t) = x(c) + x(p)
Now,
The auxiliary equation is
m² + 8m + 16 = 0
m² + 4m + 4m + 16 = 0
m (m+4) + 4 (m+4) = 0
⇒(m+4)(m+4) = 0
⇒m = -4, -4
So,
The Complimentary equation becomes
x(c) = [tex]Ae^{-4t} + Bte^{-4t}[/tex] ...........(2)
Now,
Let the particular solution be
x(p) = C cos(4t) + D sin(4t)
x'(p) = -4C sin(4t) + 4D cos(4t)
x''(p) = -16C cos(4t) - 16D sin(4t)
It also satisfy equation (1)
Equation (1) becomes
-16C cos(4t) - 16D sin(4t) + 8 [ -4C sin(4t) + 4D cos(4t) ] + 16 [ C cos(4t) + D sin(4t) ] = 8 cos(4t)
⇒-16C cos(4t) - 16D sin(4t) - 32C sin(4t) + 32D cos(4t) ] + 16C cos(4t) + 16D sin(4t) ] = 8 cos(4t)
⇒-4C sin(4t) + 4B cos(4t) = cos(4t)
By comparing, we get
4B = 1 , A = 0
⇒ B = [tex]\frac{1}{4}[/tex] , A = 0
So, The particular solution becomes
x(p) = [tex]\frac{1}{4}[/tex] sin(4t)
Now,
The General solution becomes
x(t) = [tex]Ae^{-4t} + Bte^{-4t}[/tex] + [tex]\frac{1}{4}[/tex] sin(4t) .......(3)
Now,
Given that, At t = 0, initial velocity is zero and the system starts equilibrium
⇒x(0) = 0, x'(0) = 0
By putting t = 0 in equation (3) , we get
A = 0
Now,
Differentiate equation (3), we get
x'(t) = [tex]-4Ae^{-4t} + Be^{-4t} - 4Bte^{-4t}[/tex] + [tex]\frac{1}{4}[/tex] *4 cos(4t)
Put t = 0, we get
0 = -4A + B + 1
⇒B = -1
∴ we get
The general solution becomes
x(t) = [tex]-te^{-4t}[/tex] + [tex]\frac{1}{4}[/tex] sin(4t)
Equation of motion is x(t) = [tex]-te^{-4t}[/tex] + [tex]\frac{1}{4}[/tex] sin(4t)
A ball with a weight of 70 N hangs from a string that is coiled around a 3 kg pulley with a radius of 0.4 m. Both the ball and the pulley are initially at rest. The rotational inertia of the pulley is 0.5mr2 and the ball is released from rest. Calculate the ball's velocity after it falls a distance of 2 meters.
Answer:
v = 6.195 m / s
Explanation:
For this exercise we can use the conservation of energy, for the system formed by the ball and the pulley
starting point. Higher before releasing the system
Em₀ = U = M g h
final point. When the ball has lowered h = 2
Em_f = K = ½ M v² + ½ I w²
the energy is preserved
Em₀ = Em_f
M g h = ½ M v² + ½ I w²
angular and linear velocity are related
v = w r
w = v / r
indicate that the moment of inertia is
I = ½ m r²
we substitute
M g h = ½ M v² + ½ (½ m r²) (v/r) ²
½ v² (M + [tex]\frac{1}{2}[/tex] m) = M g h
v² = [tex]2gh \ \frac{M}{M + \frac{m}{2} }[/tex]
let's calculate
v = [tex]\sqrt{ 2 \ 9.8 \ 2 \ \frac{70}{70 + 1.5} }[/tex]
v = 6.195 m / s
A marble rolls with a speed of 15 m/s and has a momentum of 0.15 kg*m/s. What is its mass?
Answer:
m = 0.01 kg
Explanation:
Given that,
Momentum of the marble, p = 0.15 kg-m/s
Speed of the marble, v = 15 m/s
We need to find its mass. We know that,
Momentum, p = mv
Where
m is the mass
[tex]m=\dfrac{p}{v}\\\\m=\dfrac{0.15}{15}\\\\m=0.01\ kg[/tex]
So, the mass of the marble is equal to 0.01 kg.
What are 5 examples of steong forces and what are 5 examples of weak forces. Thx!
Answer: The Strong Nuclear Force is an attractive force between protons and neutrons that keep the nucleus together and the Weak Nuclear Force is responsible for the radioactive decay of certain nuclei.
Explanation:
Look at this attached photo
Answer:
C) Kinetic energy
Explanation:
Since the skateboarder is ALREADY going down the hill, he is using kinetic energy.
Kinetic energy is when you're moving and in motion
What are the "Fundamentals of Economics?
Answer:
In business and economics, fundamentals represent the primary characteristics and financial data necessary to determine the stability and health of an asset. This data can include macroeconomic, or large-scale factors, and microeconomic, or small-scale factors to set a value on securities or businesses.
Explanation:
Answer found from:
https://www.investopedia.com/terms/f/fundamentals.asp#:~:text=In%20business%20and%20economics%2C%20fundamentals,value%20on%20securities%20or%20businesses.
tiles are going to all be lined next to each other, how many inches long will they cover along the walkway?
A. 0.475 inch
B. 47.5 inches
C. 475 inches
D. 4,750 inches
Answer:
b
Explanation:
A 10.0 kg gun applies a force of 250. N left on a 0.0200 kg bullet. What is the force on the gun? A. 5.00N B. 25.0N C. 12,500N D. 250.N
Answer:
The answer is D.250N.
Explanation:
A 6000 kg roller coaster goes around a loop of radius 30 m at 6 m/s. What is the centripetal acceleration?
Answer:
The answer to the question is 7200
Relative velocity: An airplane flies between two points on the ground that are 500 km apart. The destination is directly north of the origination of the flight. The plane flies with an air speed of 120 m/s. If a constant wind blows at 10.0 m/s due west during the flight, what direction must the plane fly relative to north to arrive at the destination
Answer:
4.78 degrees east of north
Explanation:
The computation is shown below:
The Speed of the plane is 120 m/s
The Speed of the wind is 10 m/s
Sin [tex]\theta[/tex] = 10 ÷ 120
= 1 ÷ 12
= 0.0833
Now
\theta = 4.78 degrees
It should be 4.78 degrees east of north
Since the wind blows due west plane and it should fly east of north to reach at the final destination
A single slit forms a diffraction pattern, with the first minimum at an angle of 40° from central maximum. Monochromatic light of 530 nm wavelength is used. The width of the slit, in nm, is closest to which of the following values?
757
723
689
791
825
ʕ•ᴥ•ʔhi how are you ？
Answer:
I’m not okay . Me and my bf are bickering once again
The diagram below represents a light ray striking the surface of a flat, shiny object.
Light ray
Object's surface
What most likely happens to the light ray as it strikes the object's surface?
A. It is completely absorbed by the object
B. It is reflected back in the direction it came from
C. It is reflected at an angle equal to the angle of the incidence
D. It is reflected at an angle greater than the angle of incidence
Answer:
option (C) is right answer
Explanation:
I think it's helps you
Answer:
Option C is correct
Explanation:
hope it helps you
Which of the following is NOT a natural
source of pollution?
A. erupting volcanoes
B. dust storms
C. construction
D. forest fires
Answer:
hi
Explanation:
answer is C
have a nice day
Which of the following is a physical change? (1 point)
A newspaper burns when placed in a fire.
An iron chair rusts when left outside.
A sample of water boils and releases gas.
A plant changes carbon dioxide and water into sugar.
Electricity is used to split water molecules into hyrdogen and oxygen
Answer:
a sample of water boils and releases gas.
i Lapalli using Newtonian laws.
c) (i) A trailer loaded with 500 bags of cement
(ii) A racing car
(iii) A motor bike. Which of these three has the lowest inertia? Why?
Answer:
(iii) A motor bike.
Explanation:
Inertia can be defined as the tendency of an object or a body to continue in its state of motion or remain at rest unless acted upon by an external force.
In physics, Sir Isaac Newton's first law of motion is known as law of inertia and it states that, an object or a physical body in motion will continue in its state of motion at continuous velocity (the same speed and direction) or, if at rest, will remain at rest unless acted upon by an external force.
The inertia of an object such as a trailer is greatly dependent or influenced by its mass; the higher quantity of matter in a trailer, the greater will be its tendency to continuously remain at rest. Also, this is applicable to all physical objects.
Hence, a motor bike would have the lowest inertia because it has the least amount of mass among the other physical objects given in this scenario.
Which property helps to explain differences in the specific heat capacities of
two substances?
A. The temperature at which each boils
B. Density
C. Latent heat of fusion
D. Forces between molecules
Answer:
D. Forces between molecules
Explanation:
Specific heat capacity of water can be defined as the amount of heat a gram of water must lose or absorb in order to change its temperature by a degree Celsius. It is measured in Joules per kilogram per degree Celsius (J/kg°C). Generally, the specific heat capacity of water is 4.182J/kg°C and is the highest among liquids.
Mathematically, the specific heat capacity of a substance is given by the formula;
[tex] c = \frac {Q}{mdt} [/tex]
Where;
Q represents the heat capacity or quantity of heat.
m represents the mass of an object.
c represents the specific heat capacity of water.
dt represents the change in temperature.
Cohesion is a property of water and it typically refers to the attraction between molecules of water which holds them together.
In Science, the property which helps to explain differences in the specific heat capacities of two substances is the forces between molecules.
This ultimately implies that, the more closely bonded the atoms of a substance are, the higher or greater would be the substance's specific heat capacity. Thus, it varies for the various states of matter i.e solid, liquid and gas.
Plz answer asap I need all of the answer
Answer:
Turned up side down
Explanation:
when a wave is bent by traveling from one medium to another
a- reflection
b- refraction
c- absorption
d- propagation
Answer:
B. Refraction
Explanation:
Jope this helps
Temperature is a measure of the average *blank*
energy of particles in a substance.
Answer:
Kinetic.
Explanation:
Temperature can be defined as a measure of the degree of coldness or hotness of a physical object. It is measured with a thermometer and its units are Celsius (°C), Kelvin (K) and Fahrenheit (°F).
Kinetic energy can be defined as an energy possessed by an object or body due to its motion.
Generally, temperature measures the average kinetic energy of particles in a particular substance. Also, when the temperature of a particular substance is greater than absolute zero, it is said to possess kinetic energy.
Additionally, conduction involves the transfer of electric charge or thermal energy due to the movement of particles.
In the process of heat conduction, thermal energy is usually transferred from fast moving particles to slow moving particles during the collision of these particles. Also, thermal energy is typically transferred between objects that has different degrees of temperature and materials (particles) that are directly in contact with each other but differ in their ability to accept or give up electrons.
The term "temperature" refers to a measurement of how cold or hot an actual physical object is. It is measured with a thermometer, which gives readings in Celsius, Kelvin, and Fahrenheit (°C, K, and °F).
Thus, An energy that an object or body possesses as a result of its motion is known as kinetic energy.
The average kinetic energy of the particles in a given substance is often measured by temperature. Additionally, a substance is said to have kinetic energy when its temperature is higher than absolute zero.
Conduction also entails the transmission of heat or electric charge as a result of the motion of particles. Thermal energy is typically transmitted from quickly moving particles to slowly moving particles during a collision in the process of heat conduction.
Thus, The term "temperature" refers to a measurement of how cold or hot an actual physical object is. It is measured with a thermometer, which gives readings in Celsius, Kelvin, and Fahrenheit (°C, K, and °F).
Learn more about Temperature, refer to the link:
https://brainly.com/question/11464844
#SPJ6
A particle is in simple harmonic motion along the x axis. The amplitude of the motion is xm. At one point in its motion its kinetic energy is K = 5 J ànd its potential energy (measured with U = 0 at x = Q) is U = 3 J. When it is at x =xm the kinetic and potential energies are:
Answer:
ummm i dk what your asking
Explanation:
conduction happens because of
a)touching
b)liquid or gas
c)space
A student wearing in-line skates pushes against a brick wall. why does the student move away from the wall ?
1. Because the forces acting on the student are balanced
2. Because the forces acting on the student are creating a net force
3. Because gravity is less than the student's push on the wall
4. Because the friction between the skates and the pavement is greater than the student's push on the wall
Answer:
Because the forces acting on the student are creating a net force.
Explanation:
I took the test and that was the answer
Answer:
Because the forces acting on the student are creating a net force
Explanation:
Please help & actually answer thank you :)
Answer:
0.5x35=17.5
Explanation:
You throw 0.5 kg the ball leaves your hand with
A speed of 35
Once a scientific theory is formed, there is no further investigation needed.
True
False
Explain how the fountain pen is filled up with ink
Answer:
It is because of air pressure
Explanation:
Filling a fountain pen with ink involves various methods, but the most common approach uses a piston or converter mechanism.
To begin, the pen is prepared by removing the cap and separating the barrel from the grip section. The type of filling system is checked, whether it's a built-in piston or a removable converter.
For a piston-filling method, the knob is twisted counterclockwise to retract the piston. The nib is submerged in the ink bottle, and by turning the knob clockwise, the piston extends, creating a vacuum that draws ink into the reservoir through capillary action.
The piston is then retracted, sealing the ink inside. In the case of a converter, it is removed from the grip section and dipped into the ink bottle, followed by operating the plunger or squeezing to expel air.
Releasing the plunger allows ink to enter the converter through atmospheric pressure. After cleaning any excess ink, the pen is reassembled.
Know more about fountain pen:
https://brainly.com/question/17340241
#SPJ4
E
Please select the word from the list that best fits the definition
freezing point of carbon dioxide
A. Meter
B. Liter
C. Kilogram
D. Kelvin