Consider a system consisting of three particles: m1 = 4 kg, vector v1 = < 10, -5, 15 > m/s, m2 = 9 kg, vector v2 = < -15, 5, -3 > m/s, m3 = 3 kg, vector v3 = < -24, 36, 18 > m/s.
a) what is the total momentum of this system?
b) what is the velocity of the center of mass of this system?
c) what is the total kinetic energy of this system?
d) what is the translational kinetic energy of this system?
e) what is the kinetic energy of this system relative to the center of mass?
one way to calculate krel is to calculate the velocity of each particle relative to the center of mass, by subtracting the center-of-mass velocity from the particle's actual velocity to get the particle's velocity relative to the center of mass, then calculating the corresponding kinetic energy, then adding up the three relative kinetic energies. however, there is a much simpler way to determine the specified quantity, without having to do all those calculations; think about what you know about the relationships among the various kinds of kinetic energy in a multiparticle system.

Answers

Answer 1

The answers to your questions are as listed below

A) The total momentum of the system is :  < - 167, 133, 87 >   kg m/s

B) Velocity of the center of mass of this system : < - 10.44 , 8.31, 5.44 > m/s

C) Total kinetic energy of the system : 5159.5 J  

D) Translational kinetic energy of the system :  1660.84 J

E) kinetic energy relative to the center of mass : 3498.66 J

Given data :

m₁ = 4 kg ,   V₁ = < 10, -5, 15 > m/s

m₂ = 9 kg,   V₂ = < -15, 5, -3 > m/s

m₃ = 3 kg    V₃ = < -24, 36, 18 > m/s.

A) Determine the total momentum of the system

Total momentum = Σ mv

= < 4*10 + 9*(-15) + 3*(-24), 4*(-5) + 9*5 + 3*36, 4*15 + 9 (-3) + 3*18 >

= < - 167, 133, 87 >   kg m/s

B) Velocity at the center of mass of this system

Velocity = < - 167 / 16 , 133/ 16, 87/ 16 >

              =  < - 10.44 , 8.31, 5.44 > m/s

C) Determine the total kinetic energy of the system

Total Kinetic energy = 1/2 m₁v₁² + 1/2 m₂v₂²  + 1/2 m₃v₃²  --- ( 1 )

where : v² = v₁² + v₂² + v₃²

therefore

Total kinetic energy = 700 + 1165.5 + 3294

                                  = 5159.5 J  

D) Determine the translational kinetic energy of the system

Translational kinetic energy ( Kcm ) = 1/2 ( m₁ + m₂ + m₃ ) * Velocity²

                                                           = 1/2 ( 16 ) * (  - 10.44² + 8.31² + 5.44² )

Hence translational kinetic energy = 1660.84 J

E) The Kinetic energy of the system relative to the center of mass

Krel = Ktotal - Kcm

       = 5159.5 - 1660.84

       = 3498.66 J

Hence we can conclude that the answers to your questions are as listed above.

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Related Questions

What is the distance a spring is compressed if the spring constant is 10 m/n, and a force
of 25 n is applied?

Answers

Answer:

40n

Explanation:

10×25 all over 100 ,25 into hundred 4 times 10×4 =40n

Use the drop-down menus to complete the statement. if an electric circuit has 0 a of current running through it, then the must be .

Answers

If an electric circuit has zero Ampere (0A) of current running through it, then the voltage must be zero.

What is ohm's law?

At constant temperature, Ohm's law says that the current flowing through an electric circuit is directly proportional to the voltage

Also, the current flowing through an electric circuit is inversely proportional to the resistance in the electric circuit.

This means that the magnitude of voltage (potential difference) is significantly reliant on the value of current flowing through an electric circuit.

This formula expresses Ohm's law mathematically.

V=IR

Where:

V is the voltage is measured in volts.

I denote the current in amperes.

R denotes the resistance in ohms.

Finally, if an electric circuit has zero ampere (0A) of current flowing through it, the voltage must also be zero.

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Answer:

voltage, zero

Explanation:

angular velocity of a rotating wheel increases 2 rev/s every minute. The angular acceleration of this wheel is:

Answers

The angular acceleration of the rotating wheel at the given rate of change of angular velocity is 0.21 rad/s².

Angular acceleration of the wheel

The angular acceleration of an object is the rate of change of anguar velocity of the object with time.

[tex]\alpha = \frac{\Delta \omega }{\Delta t}[/tex]

where;

Δω is the change in the angular velocityΔt is the change in time

Change in angular velocity of the wheel is calculated as follows;

[tex]\Delta \omega = 2 \ \frac{rev}{s} \times \frac{2\pi \ rad}{1 \ rev} = 4\pi \ rad/s = 12.57 \ rad/s[/tex]

Change in time, Δt = 1 min = 60 s

The angular acceleration of the rotating wheel is calculated as follows;

α = (12.57) / (60)

α = 0.21 rad/s²

Thus, the angular acceleration of the rotating wheel at the given rate of change of angular velocity is 0.21 rad/s².

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a car of mass 850kg hits a crash barrier at a speed of 30m/s . the car stops in 0.4s.calculate the force of the car.​

Answers

Given :- Mass of Car = 850 kginitial speed,u = 30 m/sTime span in which car stop = 0.4 s

To Find :-force on car

Solution:-

During the collision an impulse is created which due to which is equal to change in momentum.

Mathematically,

[tex]\green{ \underline { \boxed{ \sf{Impulse, F\times t = m (v-u) }}}}[/tex]

where

F = forcet = time span m = massv= final speedu = initial speed

Now,

[tex]\begin{gathered}\\\implies\quad \sf F \times 0.4 = 850 \times (0-30) \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf F \times 0.4 = 850 \times -30 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf F = -\frac{25500}{0.4} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf F = -63750 N \\\end{gathered} [/tex]

[tex]\quad\quad\quad\quad\quad\quad[/tex](-ve sign denotes opposite direction)

Therefore, a force of 63750 Newton will act on the car in opposite direction.

At a distance of 1.0 A.U. The earth takes 1.0 year to travel around the sun how far away is a planet that takes 64 years ro go around the sun

Answers

Answer:

This is from another brainly question so I hope this helps :)

The earth takes 1 year to orbit the sun and is about 150, 000, 000km. Given that, use the rule of 3 to find your answer:

1 - 150, 000, 000

64 - x

(150, 000, 000 * 64) / 1= x

9, 600, 000, 000 / 1

9, 600, 000, 000 km.

A planet located 9, 600, 000, 000 km from the sun takes about 64 years to complete its orbit around the sun.

A student makes this statement before conducting an experiment on electromagnetic radiation: "We expect the laser to diffract when passed through a slit." Which of the following explains why the student's statement is not a claim?


(1 point)

It is a prediction or hypothesis.


It cannot be verified experimentally.


It is part of the evidence to support a claim.


It is a description of the experimental results.

Answers

Answer:

it is a prediction or hypothesis4

Particle q1 has a charge of 2.7 μc and a velocity of 773 m/s. if it experiences a magnetic force of 5.75 × 10–3 n, what is the strength of the magnetic field? t in the same magnetic field, particle q2 has a charge of 42.0 μc and a velocity of 1.21 × 103 m/s. what is the magnitude of the magnetic force exerted on particle 2? n

Answers

1)The strength of the magnetic field for particle 1 will be 2.8 T.

2)The magnitude of the magnetic force exerted on the particle will be 0.12 N.

What is a magnetic field?

It is the type of field where the magnetic force is obtained. With the help of a magnetic field. The magnetic force is obtained it is the field felt around a moving electric charge.

The given data in the problem is;

q₁ has a charge = 2.7 μc

v₁ is the velocity of particle 1 = 1 773 m/s.

F is magnetic force = 5.75 × 10–3 n,

q₂ has a charge of 42.0 μc

v₂ is the velocity of 1.21 × 103 m/s.

[tex]\rm F_{B2}[/tex]   is the magnitude of the magnetic force exerted on particle 2=?

The megnetic force for case 1 is found as;

[tex]\rm F_{B1}= qvB SIN \alpha_1 \\\\ 5.75 \times 10^{-3} =2.7 \times 10^{-6}\times 773 \times B sin 90^0 \\\\ B=\frac{5.75 \times 10^{-3}}{2.7 \times 10^{-6} \timesd 773 \times sin 90^0} \\\\ B=2.8 \ T[/tex]

The megnetic force for case 2 is found as;

[tex]\rm F_{B2} = q_2v_2bsin \alpha_2 \\\\ 42\times 10^{-6} \times 1.21 \times 10^3 \times 2.8 \times sin 55^0 \\\\ F_{B2}=0.12 T[/tex]

Hence the value of the megnetic force exerted on particle 2 will be 0.00122 T.

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Answer:

last one and second one

Explanation:

Particle q1 has a charge of 2.7 μC and a velocity of 773 m/s. If it experiences a magnetic force of 5.75 × 10–3 N, what is the strength of the magnetic field?

2.8

T

In the same magnetic field, particle q2 has a charge of 42.0 μC and a velocity of 1.21 × 103 m/s. What is the magnitude of the magnetic force exerted on particle 2?

0.12

N

A 1500kg car moving at a speed of 20.1m/s comes toa stop after travelling a distance of 200m. What was the average force exerted by the breaks on the car?​

Answers

Answer:

= -1515N

Explanation:

v^2=u^2+2as

0m/s

u=20.1m/s

0=(20.1)^2+(2xax200)

0=404.01+400a

-404.01=400a

-404.01÷400=a

a= -1.01m/s^s

its negative because the force is slowing down the car

Newton's second law of motion

F=ma

=1500×-1.01

F= -1515N

What is another name for coal, natural gas, and oil? (two words)

Answers

The answer is fossil fuel

its formed from the remains of ancient plants and animal

Hope it helps!

The answer is fossil fuel

A 20 kω resistor is connected in series with an initially uncharged 100 μf capacitor and a 5 v battery. What is the charge on the capacitor when the circuit has reached steady state?

Answers

Hi there!

We can use the equation for the charge of a charging capacitor:
[tex]q(t) = C\epsilon( 1 - e^{-\frac{t}{RC}})[/tex]

Using Capacitor equations:
[tex]C = \frac{Q}{V}}\\\\Q = CV[/tex]

Therefore, Cε equals the steady-state charge of the capacitor (the function approaches this value as t ⇒ ∞.


We can plug in the givens and solve.
[tex]\epsilon = 5 V\\\\C = 100\mu F = 0.0001 F[/tex]

[tex]Q = C \epsilon = (0.0001)(5) = \boxed{0.0005 C}[/tex]

The charge on the capacitor when the circuit has reached a steady-state is 0.0005C.

What is capacitance?

The capacitance of a conductor is defined as the ratio of the quantity of electric charge stored on it to the difference in electric potential.

Given that the resistance of the resistor is 20 kω, while the capacitance of the capacitor is 100 μf, and the voltage of the battery is 5V.

Now, the charge on the capacitor when the circuit has reached a steady-state can be written as,

[tex]Q=CV\\\\Q = 100\mu F \times 5V\\\\Q = \dfrac{100}{1,000,000}F \times 5V\\\\Q = 0.0005C[/tex]

Hence, the charge on the capacitor when the circuit has reached a steady state is 0.0005C.

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Un motor eléctrico consume 10A de corriente de un circuito de 120v. Calcular la potencia y el trabajo que suministra al motor durante 5hrs de funcionamiento:
A) P=0.9 kw, T=6 kwh
B) P=0.85 kw, T=4 kwh
C) P=1.2 kw, T=3 kwh
D) P=1.2 kw, T=6 kwh

Answers

Answer:

D. P=1.2 kw, T=6kwh

Explanation:

P = A × V

P = 120×10

= 1200 watts or 1.2 kw

T = Watts × hr

1000

= 1200 × 5

1000

= 6 kwh

Light travels at 3.0 × 108 m/s in a vacuum. use the index of refraction for water to determine the speed of light in water. round your answer to the nearest tenth. × 108 m/s

Answers

Answer:

the answer is 2.3. I just answered this question and got it right.

Explanation:

The phenomenon bending of a wave as it crosses from one medium to another is said to be refraction. The speeds of light in the water will be 2.25×10⁸ m/sec.

What is the definition of refraction?

The phenomenon bending of a wave as it crosses from one medium to another is said to be refraction. The difference in density is the cause of the bending.

Refraction is a term that is used to describe the phenomenon of refraction."The change in direction of a wave traveling through one medium to another is known as refraction."

The following data are given in the problem;

C is the Speed of light in a vacuum =3×10⁸ m/sec.

n is an index of refraction for water = 1.333

v is the speed of light in the water=?

The index of refraction is the ratio of the speed of light in a vacuum to the speed of light in water. By the formula of the index of refraction.

[tex]n=\dfrac{c}{v}[/tex]

[tex]V=\dfrac{c}{n}[/tex]

[tex]V=\dfrac{3\times10^8}{1.333}[/tex]

[tex]V=2.25\times 10^8 m/s[/tex]

Hence the speed of light in the water will be 2.25×10⁸ m/sec.

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the north pole magnet is brought near a refrigerator door , and the magnet sticks. if the magnet is removed and the south pole is brought near the door instead, will it also stick explain​

Answers

Answer:

no

Explanation:

because if the north pole of the magnet is brought the the refrigerator and it sticks that means the refrigerator is the south pole. So if the south pole magnet is brought the the refrigerator that is also a south pole it would not stick because same poles repel and opposite poles attract.

a person walks 15.0 m in 5.00 s, and then walks 12.0 m in 10.00 s. What is the average
speed of the person?

Answers

start by dividing 10 secs into 2 groups (it will be easier if the timing is equal) add up 15, 6 and 6, and then divide by 3.

the average speed of the person is 9 meters per 5 seconds

Which describes the vector calculation giving the magnetic force on a charged particle moving through a magnetic field?.

Answers

Which describes the vector calculation giving the magnetic force on a charged particle moving through a magnetic field? It is the cross product of the velocity vector and the magnetic field vector, which gives a vector perpendicular to those vectors.

Imagine that you are a circus performer riding a uni-cycle (forwards) across the stage. What is the direction of the angular velocity of the single wheel?

Answers

The direction of the angular velocity of the single wheel is the clockwise direction

Angular velocity

The angular velocity is the number of revolutions per second of the single wheel. It is given by ω = v/r where

v = linear speed of the wheel and r = radius of the wheel.Direction of the angular velocity of the single wheel

Since the wheels moves forward and the velocity of the wheel is always tangential to the wheel causing it to move forward, its angular velocity is in the clockwise direction

So, the direction of the angular velocity of the single wheel is the clockwise direction

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The angular velocity is also known as the rotational velocity. The direction of the angular velocity of the single wheel is clockwise.

What is angular velocity?

The angular velocity or rotational velocity, also known as the angular frequency vector, is a vector measure of rotation rate that relates to how fast an item spins or revolves relative to another point, i.e. how quickly the angular position or orientation of an object changes with time.

[tex]\omega = \dfrac vr[/tex]

where v is the velocity and r is the radius.

The Direction of angular velocity is that the wheel goes forward and the velocity of the wheel is always tangential to the wheel, forcing it to move forward, therefore, the angular velocity is clockwise.

Hence, the direction of the angular velocity of the single wheel is clockwise.

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Before beginning an experiment, mrs. wilson warns her science class not to drop the bar magnets on the floor. what is the most likely reason for mrs. wilson’s warning? the magnet might lose its magnetism. the magnet might make a startling noise. the magnet might become stuck to the floor. the magnet might cause the floor to become magnetic.

Answers

The most likely reason for Mrs. Wilson's warning will be the magnet might lose its magnetism.

What is magnetism?

Magnetism is a component of the larger phenomena of electromagnetic. The most well-known effects occur in ferromagnetic materials,

Which are highly attracted by magnetic fields and maybe magnetized to become permanent magnets, hence creating magnetic fields. It is also feasible to demagnetize a magnet.

We should not drop a magnet on the floor since magnets progressively lose magnetism and grow weak over time if they are not properly preserved.

Hence this is most likely the reason for Mrs. Wilson's warning will be the magnet might lose its magnetism.

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Answer:

The correct answer is A!

Explanation:

~Hope this helps! :)

A car of mass 1500kg is brought to rest from a velocity of 25m/s by a constant force of 3,000N. Determine the change in momentum produced by the force and the time it takes for the car to come to rest.​​

Answers

Answer:

change in momentum = 37,500kg.m/s in the opposite direction

time it takes = 12.5s

Explanation:

u=25m/s

v=0m/s

F=ma

-3000=(1500)(a)

-3000÷1500=a

a= -2m/s^2

Change in momentum=mv-mu

(1500)(0)-(1500)(25)

= -37,500kg.m/s

relax the( - ) represents direction

v=u-at

0=25-2t

2t=25

t= 12.5s

An iron sphere of radius 0.18m has mass 190 kg. Calculate the density of the iron

Answers

radius=r=0.18m

Volume:-

[tex]\\ \sf\rightarrowtail \dfrac{4}{3}\pi r^3[/tex]

[tex]\\ \sf\rightarrowtail \dfrac{4}{3}\pi (0.18)^3[/tex]

[tex]\\ \sf\rightarrowtail \dfrac{4}{3}\pi (0.005832)[/tex]

[tex]\\ \sf\rightarrowtail 0.024m^3[/tex]

Mass=190kg

Density:-

[tex]\\ \sf\rightarrowtail \dfrac{Mass}{Volume}[/tex]

[tex]\\ \sf\rightarrowtail \dfrac{190}{0.024}[/tex]

[tex]\\ \sf\rightarrowtail 7916.67kg/m^3[/tex]

29. A pendulum with a period of 2.00000 s in one location (g=9.80m/s2) is moved to a new location where the period is now 1.99796 s. What is the acceleration due to gravity at its new location?

Please include all of your steps to the solution.

Answers

Answer:

9.82 m/s²

Explanation:

The time period of a pendulum, a body fixed to a pivot by means of a string, is given by the time it takes to complete a single cycle from right to left or left to rightThe formula is given as :

        ⇒ T = 2π√(L/g) [← Important]

L represents the length of the string and g is the value of gravity due to acceleration

Original Time Period [To calculate length of the string]

T = 2π√(L/g)2 = 2π√(L/9.8)L = 9.8/π²L = 0.99646 m [← Keep in mind, we'll need it later!]

Calculating value of g' (new acceleration)

T = 2π√(L/g')1.99796 = 2π√0.99646/g' [← From earlier!]g' = 9.82 m/s² (approximately)

Hope it helped~

according to this passage when making healthcare decisions, how should a person approach the decision making process

Answers

Answer:

What is your name?

Explanation:

no bro I don't know I am New of this app so I don't know

Research the solar wind and what happens when the solar wind interacts with Earth’s magnetic field. Begin by looking for images and credible sites on the Internet or refer to some books in a library. If searching on the Internet, include the search term magnetosphere. The magnetosphere is the magnetic field surrounding a planet where charged particles are trapped. Answer the following questions:

What is the solar wind?
What happens when Earth’s magnetic field interacts with the solar wind?
What are the Van Allen belts and how are they related to Earth’s magnetic field?
What are auroras and how are they related to Earth’s magnetic field?
Does Earth’s magnetic field protect the planet from the solar wind?

( THIS IS NEEDED BY APRIL 3)

Answers

The solar wind is a stream of radiation particles generated by the Sun's corona, whereas Earth’s magnetic field acts to deflect solar winds.

What is solar wind?

The solar wind is a stream of radiation particles that are released from the last layer of the Sun (Sun's corona).

Earth’s magnetic field acts to deflect solar winds, where the Van Allen belt refers to the area of charged particles in the magnetosphere.

Finally, the aurora is produced by the collisions between charged particles from solar winds and gases present in the last layer of the atmosphere.

Learn more about solar winds here:

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Answer:

Yes, I'm late I'm sorry but here's my answer.

Explanation:

1. Solar wind is the solar wind is a stream of radiation particles that are released from the last layer of the Sun and the Earth’s magnetic field acts to deflect solar winds, where as the Van Allen belt refers to the area of charged particles in the magnetosphere. The aurora is produced by the collisions between charged particles from solar winds and gases present in the last layer of the atmosphere. 

2. When the solar wind encounters Earth, it is deflected by our planet's magnetic shield, causing most of the solar wind's energetic particles to flow around us. 

3. The Van Allen radiation belt is a zone of energetic charged particles, which can originate from the solar wind. The particles are then captured by and held around a planet by that planet's magnetic field.

4. An aurora is that natural light displayed in the Earth's sky, predominantly seen in high-latitude regions. Auroras are the result of disturbances in the magnetosphere caused by the solar wind.

5.  Yes

what other fees are associated with each credit card

Answers

Answer:

Finance costs (also known as interest fees) aren't added to your account in a set amount like other fees.

OR

A credit card is a payment card that is issued to users to allow them to pay a merchant for products and services depending on their outstanding debt. The card issuer opens a revolving account for the cardholder and provides a line of credit from which the cardholder can borrow money to pay a merchant or get a cash advance. Consumer credit cards and business credit cards are the two types of credit cards available. The majority of the cards are plastic, however, there are a few metals and gemstone-encrusted metal cards.

Explanation:

In what type of system is mechanical energy lost to its surroundings?
A. internal

B. external

C. closed

D. open

help.

Answers

Answer:

If you consider systems as internal, external, or open then energy can only be exchanged between systems that are classified as -

(D) open

For instance if you want to classify the work done in lifting a bucket of water from a well, then this is an internal system as opposed to a system where you would have to consider the work done on the earth and its surrounding stars.

The earliest stage of a star’s life before it begins to undergo fusion is known as:

Answers

Answer:

A protostar is the earliest stage of a star's life. A star is born when the gas and dust from a nebula become so hot that nuclear fusion starts.

The origin of star is called nebula. The earliest stage of a star’s life before it begins to undergo fusion is known as a protostar.

What is the earlier stage of star ?

Every star begins from nebula. A nebula is a huge gas and dust cloud. Some of the gas and dust in a nebula can be drawn together by gravity. The cloud's contraction is then described as a protostar. The first stage of a star's life is called a protostar.

As the gas and dust from a nebula heat up to a point where nuclear fusion begins, a star is created. A star is referred to as a main sequence star once it has "switched on". A main sequence star turns into a red giant or a red super giant when its hydrogen fuel runs exhausted.

An exploding red super massive star is possible. It is referred to be a supernova. After the star explodes, some of the ingredients from the star are left behind. Hence, the earlier stage of a star before fusion starts is called a protostar.

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2. Describe the new digital governance and sourcing approach since accelerate implementation. Include both project management and portfolio management decision-making and accountability

Answers

The prompt seeks to explain how Philips uses digital governance in its sourcing approach or procurement.

How did Philips use a New Digital Governance and Sourcing approach?

Phillips was able to achieve this by hosting the "Supplier Development Group".

Then, various departments within Phillips met with the supplier's Group to find out how more raw materials could be gotten in the most environmentally friendly way possible.

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The new digital governance and sourcing approach is described as strategy to accelerate implementation.

What is New Digital Governance?

Digital tools along with social media have empowered people to have access to infinite information and make connections globally. All the citizens or individuals are using digital based technologies to get hold of  benefits caused by using them.

Sourcing approach is used in supply chain management that gathers the information and used in an organization for purchasing power. This finds the best possible values in the marketplace. This strategy helps to attain business goals.

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Derive an expression for the block's centripetal acceleration ac in terms of m , θ , and physical constants, as appropriate

Answers

The expression for the block's centripetal acceleration is derived as ω²r or v²/r.

What is centripetal acceleration?

The centripetal acceleration of an object is the inward or radial acceleration of an object moving in a circular path.

The expression for the block's centripetal acceleration is derived as follows;

ω = dθ/dt

where;

ω is the angular speed θ is the angular displacementt is the time of motion

ac = ω²r

where;

r is the radius of the circular path

Also, ω = v/r

ac = (v/r)²r

ac = v²/r

Thus, the expression for the block's centripetal acceleration is derived as ω²r or v²/r.

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FOR STUDY ISLAND: Objects that stop the flow of electricity are good insulators. Which of the following materials would be the best insulator for an electrical wire?
A.
aluminum pipes
B.
copper wire
C.
plastic tubing
D.
water

Answers

Answer: It would be; A/B

If you create an equilibrium mixture from f e 3 and s c n − ions, adding c l − ions will choose. Highlight_off because choose. Highlight_off

Answers

Since chloride ions are not part of the ionic equilibrium, addition of chloride ions will only increase the concentration of the anions in the solution.

What is ionic equilibrium?

An ionic equilibrium is an equilibrium that exists between two or more ions in an aqueous solution.

The ionic equilibrium between iron (iii) ion and thiocyanate ions is given below:

[tex]Fe^{3+}\rightleftharpoons SC \: N^{-}[/tex]

From the principle of equilibrium, addition of either ions in the ionic equilibrium will alter equilibrium position to the left or right.

Addition of chloride ions, Cl- which is not a part of the ionic equilibrium will only increase the concentration of the anions in the solution.

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The chloride ions are not part of the ionic equilibrium, adding them to the solution will merely raise the concentration of anions.

What is equilibrium?

When a chemical reaction does not convert all reactants to products, it reaches equilibrium. Many processes attain a state of balance, or dynamic equilibrium, in which both reactants and products are present.

The following is the ionic equilibrium between iron (III) ion+ and thiocyanate ions:

[tex]\rm Fe^{3+} \rightleftharpoons SC \ N^{-}[/tex]

The addition of either ion in the ionic equilibrium will shift the equilibrium position to the left or right, according to the principle of equilibrium.

The inclusion of chloride ions, Cl-, which are not components of the ionic equilibrium, increases the levels of anions in the solution.

Thus, the chloride ions are not part of the ionic equilibrium, adding them to the solution will merely raise the concentration of anions.

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A uniform solid sphere has mass m= 7 kg and radius r= 0. 4 m. What is its moment of inertia about an axis tangent to its surface?

Answers

The moment of inertia of a uniform solid sphere is equal to 0.448 [tex]kgm^2[/tex].

Given the following data:

Mass of sphere = 7 kg.

Radius of sphere = 0.4 meter.

How to calculate moment of inertia.

Mathematically, the moment of inertia of a solid sphere is given by this formula:

[tex]I=\frac{2}{5} mr^2[/tex]

Where:

I is the moment of inertia.m is the mass.r is the radius.

Substituting the given parameters into the formula, we have;

[tex]I=\frac{2}{5} \times 7 \times 0.4^2\\\\I=2.8 \times 0.16[/tex]

I = 0.448 [tex]kgm^2[/tex].

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