a car on a circular track accelerates from rest. the radius of the track is 0.30km and the magnitude of the constant angular acceleration is 4.5x10-3 rads/s squared. find the centripetal acceleration of the car when it has completed half of a lap. ​

Answers

Answer 1

Answer:

The centripetal acceleration of the car is 50.4 m/s²

Explanation:

Given;

radius of the track, r = 0.3km = 300 m

constant angular acceleration, α = 4.5 x 10⁻³ rad/s²

during half of a lap, θ = π

Determine time of motion

θ = ωt + ¹/₂αt²

π = 0 + ¹/₂αt²

t² = 2π / α

t² = ( 2 x 3.142) / (4.5 x 10⁻³)

t² = 1396.44

t = √1396.44

t = 37.369 s

Determine the angular velocity

[tex]\omega_f = \omega_i + \alpha t\\\\\omega_f = 0 \ + \ 37.369*4.5*10^{-3}\\\\\omega_f = 0.168 \ rad/s[/tex]

Determine the centripetal acceleration of the car

[tex]\alpha _c = \omega^2 r\\\\\alpha _c = 0.168*300\\\\\alpha _c =50.4 \ m/s^2[/tex]

Therefore, the centripetal acceleration of the car is 50.4 m/s²


Related Questions

Object B has a mass of 10 kg and is moving at a velocity of 2.2 m/s. So object B’s momentum is ___ kg •m/s

Answers

Answer:

22

Explanation:

becuase is you do 10kg times 2.2= 22m/s

Object B has a mass of 10 kg and is moving at a velocity of 2.2 m/s. So object B’s momentum is 22 kg.

What is momentum in real life?

The momentum of an object is given with the aid of the made from its mass and the rate. this may be understood genuinely with the help of an instance. A Cricket ball is heavier than a tennis ball. If each of the balls is thrown at the same speed. Greater pressure is required to forestall the cricket ball.

What is the momentum of an object?

Momentum is the amount of movement and is compounded by using the quantity of the problem moved and the velocity with which it moves. The item has a tendency to be in movement and therefore is a vector amount. it's far determined by using the made from the mass of the object and its velocity.

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Why do you think the electron of the hydrogen atom stays close to the proton in the atom’s nucleus?

Answers

Answer:

Electrons are retained by the electromagnetic force in the orbit around the nucleus since the nucleus is positively charged in the middle of the atom and absorbs the electrons charged negatively.

Hope this helps!

We have that for the Question "Why do you think the electron of the hydrogen atom stays close to the proton in the atom’s nucleus" it can be said that

Electron of the hydrogen atom stays close to the proton in the atom’s nucleus because hydrogen with a low proton and electron number its repulsion will be low  

From the question we are told

Why do you think the electron of the hydrogen atom stays close to the proton in the atom’s nucleus?

Generally

The electrons are father away from the protons in the nucleus as atomic number increases

This is because of the law of attraction where unlike charges reply

Therefore

For hydrogen with a low proton and electron number its repulsion will be low and Hence  electron of the hydrogen atom stays close to the proton in the atom’s nucleus

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A person throws a ball horizontally from the top of a building that is 26.1 m above the ground level The ball lands 112 m away from the base of the building Neglect air resistance and useg = 9.81 m/s ^ 2

Answers

Answer:

v = 5.21 m/s

Explanation:

Let the initial speed be v.

The top of a building is 26.1 m above the ground level and the ball lands 112 m away from the base of the building.

We need to find the initial velocity of the ball.

Let it was at rest initially. Using the second equation of motion to find time of flight.

[tex]d=ut+\dfrac{1}{2}gt^2\\\\t=\sqrt{\dfrac{2d}{g}} \\\\t=\sqrt{\dfrac{2\times 26.1}{9.81}} \\\\t=2.3\ s[/tex]

No, using the formula of speed.

[tex]v=\dfrac{d}{t}\\\\v=\dfrac{12\ m}{2.3\ s}\\\\v=5.21\ m/s[/tex]

So, the initial velocity of the ball is 5.21 m/s.


A 52-kg bike is moving along a smooth road at a constant velocity of 8.4 m/s. What is the net force acting on the bike

Answers

Answer:

0 N

Explanation:

Net force = mass × acceleration

∑F = ma

The velocity is constant, so the acceleration is 0.  Therefore, the net force is 0.

The net force acting on the bike is 0 N.

What is net force?

Net force is the sum of all forces acting on an object. The net force can be calculated using Newton's second law, which states that F = ma, where: F is the net force. m is the mass of the object. a is acceleration.

The velocity is constant, so the acceleration is 0.  Therefore, the net force is 0 N.

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Alice added sodium chloride to water and stirred the water for several minutes. Alice is most likely trying to demonstrate that ionic compounds
A. are hard
B. can dissolve
C. are clear.
D. can melt.

Answers

Answer:

Can dissolve

Explanation:

B because it does dissolve

What is the density of this liquid that has a mass of 300g and volume 600ml.

Answers

Answer:

0.5

Explanation:

D = M / V

You divide 300g by 600ml and you get 0.5

(✿◠‿◠)

la respuesta es

0.5

espero que te sirva

:-)

BMW has introduced a program of covered scheduled maintenance for its cars. That is, when you bring in your vehicle for maintenance at a BMW dealership, BMW will cover the costs of everything (except for worn-out tires). This practice specifically targets which stage of the product life cycle?

Answers

Answer:

Usage

Explanation:

A product life cycle refers to the duration from the introduction of the product into the market until it's taken off the shelves.

A program of covered scheduled maintenance for the cars refers to the practice in which the dealership will cover the costs of everything when you bring in your vehicle for maintenance.

In this question, the mentioned practice specifically targets the stage - Usage of the product life cycle

Andrew plays trumpet in the concert band. He holds the trumpet still at his side until it is time for him to play. When it is time, he brings the trumpet up to his mouth and starts to play. Which statement correctly connects the motion of the trumpet with Newton’s first law of motion?

Answers

When his instrument is at rest on his lap also to help maybe look into Newton’s law and write down the three main laws on flash cards

Answer:

Explanation:

I really don’t know

who has a iphone (age range 15-19 )

Answers

Hi friend! I have an iPhone. why do you ask????

A cricket stump has a sharp point at one end use the words force area or pressure

Answers

Answer:

using the pressure of stump

Answer: Using the pressure of a stump

A plane drops C.A.R.E package to some needy people in the jungle from a height of 1,000 meters.How long will it take the package to strike the ground?

Answers

Do you have to compare the two dose that help {. .please like!!!!!!!!!!!!

A lithium atom has 3 protons, 4 neutrons and 3 electrons. How would the atom change to become a cation? How would the atom change to become an anion?

Answers

Answer:

- For the lithium ion to change to become an anion, it will have to gain one or more electrons which can be pulled away from possibly other atoms with a weaker affinity for them.

- For the lithium ion to change to become a cation, it will have to loose one or more electrons which can be drawn by other atoms with a stronger affinity for them.

Explanation:

Generally, an anion has a net negative charge arising from the fact that it has more electrons than protons while a cation has a net positive charge arising from the fact that it has more protons than electrons.

Now, for the lithium ion to change to an anion, it means it has to have more electrons than it's protons. Thus, since it has 3 number each of protons and electrons, it will have to gain one or more electrons which can be pulled away from possibly other atoms with a weaker affinity for them.

Now, for the lithium ion to change to a cation, it means it has to have more protons than it's electrons. Thus, since it has 3 number each of protons and electrons, it will have to loose one or more electrons which can be drawn out by possibly other atoms with a stronger affinity for them.

Find by means of a vector (quantity) diagram,
the resultant of two forces of 7N and 3N acting at
right angle to one another
solve ​

Answers

Answer:

which principle prevents a brach from abusing  its power

Explanation:

what is acceleration

Answers

Answer:

Explanation:

Acceleration is the rate of change of velocity. Usually, acceleration means the speed is changing, but not always. When an object moves in a circular path at a constant speed, it is still accelerating, because the direction of its velocity is changing.

[tex]{\tt{\red{\underline{\underline{\huge{Answer:}}}}}}[/tex]

[tex]\longrightarrow[/tex] The rate of change of velocity per unit time is called acceleration.

[tex]\longrightarrow[/tex] Its SI unit is m/s².

[tex]\huge\boxed{\fcolorbox{blue}{red}{Thank you}} [/tex]

Samuel's car has a mass of 3,000 kg. If your car produces a force of 500 N, how fast will it accelerate?​

Answers

Answer:

The answer is 0.17 m/s²

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

[tex] a = \frac{f}{m} \\ [/tex]

f is the force

m is the mass

From the question we have

[tex]a = \frac{500}{3000} = \frac{5}{30 } = \frac{1}{6} \\ = 0.166666...[/tex]

We have the final answer as

0.17 m/s²

Hope this helps you

If the total age of three brothers Jack Sam and DeMarco is 33 what are the ages of the boys if Sam is half of the age of Jack and DiMarco is two years younger than Jack

Answers

Answer:

Jack is 14, DiMarco is 12, Sam is 7

Explanation:

if it takes 3.5 hours for the Hogwarts Express, moving at a speed of 120 mi/hr, to make it from Platform 9 and 3/4 to Hogwarts, how far apart are they?​

Answers

They are 420 miles apart.

a child riding a bicycle at 15 meters per second accelerates at -3,0 meters per second? for 4.0 seconds. What is the child's speed A at the end of this 4.0-second interval? (with work, all steps))

Answers

Answer:

27m/s

Explanation:

Given data

initital velocity u=15m/s

deceleration a=3m/s^2

time t= 4 seconds

final velocity v= ?

Applying the expression

v=u+at------1

substituting our data into the expression we have

v=15+3*4

v=15+12

v=27m/s

The velocity after 4 seconds is 27m/s

When a gas increase in thermal energy it will go through...?
A. thermal contraction
B. thermal expansion
C. freeze
D. smell​

Answers

Answer:

b

Explanation:

An 85 kg construction worker has 37,485J of gravitational potential energy. To the nearest whole number,
worker is _________
mabove the ground

Answers

Answer:

45m above the ground

Explanation:

got it right on Edg 2020

A physics book is moved once around the perimeter of a table of dimensions 1.0m by 2.0 m. a. if the book ends up in its initial position, what is its displacement? Type here b. What is the distance traveled?​

Answers

Answer:

A. 0 m.

B. 6 m.

Explanation:

Displacement is final position to initial position in the shortest length possible, if you end at your initial position then your displacement is basically 0.

Since the book traveled along the perimeter of a table of 1m and 2m then its perimeter is a total of 6m, which is basically how far the book traveled.

A force of 6.0 N is applied horizontally to a 3.0 kg crate initially at rest on a horizontal frictionless surface. After the crate is pushed for 1.5 seconds, it has a gelocity of 3.0 m/s. Does this support Newton’s second law of motion, that force equals mass times acceleration?

Answers

Your answer to your question is 6.9 m/s

Convert the following from scientific notation to standard notation.

1. 3.47 x 108
2. 7.94 x 103
3. 1.96 x 10-3
4. 4.50 x 109
5. 9.61 x 10-6
6. 2.02 x 105
7. 7.01 x 10-10
8. 4.44 x 101

Answers

Answer:

1.) 347,000,000

2.)7,940

3.)0.00196

4.)4,500,000,000

5.)0.00000961

6.)102,000

7.).000000000701

8.)44.4

Explanation:

when the power is positive, you just need to move decimal point to your right , for a number of times which is similar to the value of the power.

Eg. 3.47×10 raised to the power 8.

with this, move the decimal point to the right eight times which will be 347,000,000.

But when the power is negative, move the decimal point to the left for a number times which will be similar to the value of the power.

Eg. 1.96×10 raised to the power negative 3.

move the decimal point leftwards three times which will be 0.00196

Please mark as brainliest.

Two dimensional motion

Answers

Answer:

In two-dimensional projectile motion, such as that of a football or other thrown object, there is both a vertical and a horizontal component to the motion. ... The key to analyzing two-dimensional projectile motion is to break it into two motions, one along the horizontal axis and the other along the vertical.

Answer:

In two-dimensional projectile motion, such as that of a football or other thrown object, there is both a vertical and a horizontal component to the motion. ... The key to analyzing two-dimensional projectile motion is to break it into two motions, one along the horizontal axis and the other along the vertical.

Describe the stratosphere.
What happens to the air pressure when you get closer to Earth?
What are the layers of the atmosphere?

Answers

1. The stratosphere is above the troposphere. This layer of the atmosphere is where planes fly. At the top of the stratosphere, there is a ozone layer.

2. The mesosphere is above the stratosphere. Temperatures drastically drop in the mesosphere. It is the middle layer of the atmosphere.

3. Here are the layers of the atmosphere:

TroposphereStratosphereMesosphereThermosphereExosphere

Hope this helps you!

Please help me out with my physics

Answers

It’s A. Hope this helps

Dos masas de 8kg es tan unidas en el extremo de una varilla de aluminio de 400mm de longitud. La varilla está sostenida en su parte media hora en círculos y solo puede soportar una tensión máxima de 800 N ¿cuál es la frecuencia máxima de revolución

Answers

Answer:

The maximum frequency of revolution is 3.6 Hz.

Explanation:

Given that,

Mass = 8 kg

Distance = 400 mm

Tension = 800 N

We need to calculate the velocity

Using centripetal force

[tex]F=\dfrac{mv^2}{r}[/tex]

Where, F= tension

m = mass

v= velocity

r = radius of circle

Put the value into the formula

[tex]800=\dfrac{8\times v^2}{200\times10^{-3}}[/tex]

[tex]v^2=\sqrt{\dfrac{800\times200\times10^{-3}}{8}}[/tex]

[tex]v=4.47\ m/s[/tex]

We need to calculate the maximum frequency of revolution

Using formula of frequency

[tex]f=\dfrac{v}{2\pi r}[/tex]

Put the value into the formula

[tex]f=\dfrac{4.47}{2\pi\times200\times10^{-3}}[/tex]

[tex]f=3.6\ Hz[/tex]

Hence, The maximum frequency of revolution is 3.6 Hz.

the energy transferred by a force of a moving object

Answers

Answer:

kinetic or mechanical cant remember

Explanation:

Answer:

Hey!!

Kinetic Energy is your answer!

Explanation:

I hope this helped you!

A large bottle contains a number of medicinal tablets each having a mass of 250
mg. The mass of all the tablets is 1 kg. Calculate the number of tablets in the bottle.

Answers

Given parameters:

Mass of each tablet  = 250mg   = 0.25g

Mass of all tablets in the bottle = 1kg  = 1000g

Unknown:

Number tablets in the bottle = ?

Solution:

The number of tablets in the bottle;

    Number of tablets  = [tex]\frac{mass of all tablets in the bottle}{mass of each tablet}[/tex]

                     Mass is the amount of matter that makes up a substance

Number of tablets  = [tex]\frac{1000g}{ 250 x 10^{-3} }[/tex]   = 4000 tablets

Considering the rule of three, the number of tablets in the bottle is 4.

In first place, the rule of three is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.

That is, what is intended with it is to find the fourth term of a proportion knowing the other three.  

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied.

To solve a direct rule of three, the following formula must be followed, being a, b and c known data and x the variable to be calculated:

a ⇒ b

c ⇒ x

So: [tex]x=\frac{cxb}{a}[/tex]

The direct rule of three is the rule applied in this case as follow:  if 250 mg = 0.250 g is the mass of 1 medicinal tablet, 1 kg = 1000 g is the mass of how many medicinal tablets?

0.250 grams ⇒ 1 medicinal tablet

1000 grams ⇒ x

Then:

[tex]x=\frac{1000 gramsx1 medicinal tablet}{0.250 grams}[/tex]

x= 4 medicinal tablets

Finally, the number of tablets in the bottle is 4.

Learn more:

brainly.com/question/12482948?referrer=searchResults brainly.com/question/24534599https://brainly.com/question/25294910?referrer=searchResults

How much work is done by a person who used a force of 27.5N to move a grocery cart 12.3

Answers

Answer:

workdone = force x displacement

= 27.5 x 12.3

= 338.25 J

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