A ball of Mass M is swung in a vertical circle with a constant tangential speed. Figure 1 shows the forces exerted on the ball at the top of the circle, and Figure 2 shows the forces exerted on the ball at the bottom of the circle. Which of the following is an expression for the centripetal acceleration of the ball in terms of M, T1, T2, and any fundamental constants?

A Ball Of Mass M Is Swung In A Vertical Circle With A Constant Tangential Speed. Figure 1 Shows The Forces

Answers

Answer 1

Answer:

T1+T2/2M

Explanation:

Answer 2

The expression for the centripetal acceleration for the vertical circle is [tex]a_c = \frac{T_1 + T_2 }{2m}[/tex].

In a vertical circular motion, the tension of the swing at the top of the circle is given as;

[tex]T_1 =m a_c_{top} - mg\\\\T_1 = ma_c - mg\\\\mg = ma_c - T_1[/tex]

The tension of the swing at the bottom of the circle is given as;

[tex]T_2 = ma_{bottom} + mg\\\\T_2 = ma_c + mg[/tex]

solve the two equations together;

[tex]T_2 =ma_c + ( ma_c -T_1)\\\\T_2 = ma_c + ma_c - T_1\\\\T_2 + T_1 = 2ma_c\\\\a_c = \frac{T_1 + T_2}{2m}[/tex]

Thus, the expression for the centripetal acceleration for the vertical circle is [tex]a_c = \frac{T_1 + T_2 }{2m}[/tex].

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Related Questions

where would you expect light waves to move faster?

Answers

Answer:

In space

Explanation:

I took the quiz

Answer:

in space

Explanation:

a parachutist decided to jump of a plane calculate how far does he travels in 2 seconds knowing that he started at rest and accelerates downward at 10ms​

Answers

Answer:

20 meters

Explanation:

Given the following parameters

Time t = 2 seconds

Acceleration a = 10m/s²

Required

Distance covered S

Since the body started from rest, u = 0m/s

Using the equation of motion S = ut + 1/2 at²

Substitute

S = 0 + 1/2(10)(2)²

S = 5 * 2²

S = 5 * 4

S - 20m

Hence he travels 20 meters

I’m bored please end my boredom

Answers

Answer:

Watch something educational

Explanation:

Like Anime

There are several things you can do to end your boredom time like you can watch movies, you can read books, or can go trekking or something.

What is boredom?

According to conventional definitions, boredom is a sentimental and sporadically psychological state that occurs when someone is left without something specific to do when they feel listless and dissatisfied due to a lack of activity or excitement, when they are uninterested in one’s surroundings, or when they think a day or period is tedious.

Scholars also view it as a contemporary phenomenon with a cultural component. There is no agreed-upon definition of boredom.

There are several ways to tackle with boredom:

Call your best friend.Make a dish for yourselfTry out a new hobby.You can join a new clubExercise according to your preferred routine, or start something different, like a dance class.

To know more about boredom:

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#SPJ2

What is a gravitational field, and how does it apply to Earth? what is its formula​. and what is an example of how you can use it?

Answers

Answer:

Explanation:

a gravitational field is the region of space surrounding a body in which another body experiences a force of gravitational attraction.

The formula is: weight/mass = gravitational field strength. On Earth the gravitational field strength is 10 N/kg.

an example of how you can use it if you need to find the gravitational force from earth.

At which point is the kinetic energy the greatest?

Answers

Answer:

Kinetic energy is energy an object has because of its motion and is equal to one-half multiplied by the mass of an object multiplied by its velocity squared (KE = 1/2 mv2). Kinetic energy is greatest at the lowest point of a roller coaster and least at the highest point.

Explanation:

here is an example Where is the apple when it has the most kinetic energy? When the apple is falling and is right before it hits the ground. As an object falls under the influence of gravity, kinetic energy and potential energy are equal everywhere/at the halfway point only. 10. As an object falls under the influence of gravity, potential energy is greater than kinetic energy after halfway point/ before the halfway point

In the roller coaster, the kinetic energy is greatest at point X.

The kinetic energy of a body is given by 1/2mv^2.

Where;

m = mass of the object

v =velocity of the object.

For a roller coaster, the velocity is maximum at the lowest points of the roller coaster. If the velocity is maximum at the lowest point, it also follows that the kinetic energy is also maximum at the lowest point. Hence point X has the highest kinetic energy.

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If a student is sitting in their chair and the leg of the chair breaks the student will __________ toward the floor because the gravity is a greater force.
A.Accelerate
B.Force
C.Balance
D.Speed

Answers

Answer:

theyll accelerate towards the floor :)

C because it gonna balance

What scientific law did Archimedes establish? the law of geometry the law of astronomy the law of lever and balance the law of Earth and universe

Answers

Answer:

Archimedes discovered the buoyancy laws

Explanation:

when asked by King Hiero of Syracuse to determine whether his new crown was pure gold (SG = 19.3). Archimedes measured the weight of the crown in air to be 11.8 N and its weight in water to be 10.9 N.

Answer:

The correct answer is C

Explanation:

The dead sea has a very high salt content. Explain why it is easier for a swimmer to float in the dead sea than in a swimming pool containing fresh water

Answers

Answer:

Dead sea is full of salt.

Explanation:

The water of the Dead Sea is full of salt, which makes it much denser and heavier than freshwater. If you swim in it, you float very easily.

When salt is dissolved in water, for example sea water, dissolved salt adds to the mass of the water and makes the water denser than it would be without salt. Because objects float better on a dense surface, they float better on salt water than fresh water.

HELP ASAP!!!!!!! PLEASE WILL GIVE BRAINLIEST

What is a selectively permeable membrane?????????????

Answers

Answer:

It is that kind of permeable membrane that allows certain molecules to pass through. Not every molecules can pass through it

Explanation:

A long-jumper leaves the ground at an angle of 20.0° above the horizontal and at a speed of 11.0 m/s.How far does he jump in the horizontal direction?(Assume his motion is equivalent to that of a particle.).
a. 12m
b. 7.94m
c. 10m
d. 0.384m​

Answers

Answer:

The correct option is;

b. 7.94 m

Explanation:

The given parameters of the jump of the long jumper are;

The angle above the horizontal with which the long jumper leaves the ground, θ = 20.0°

The speed with which the long jumper leaves the ground, u = 11.0 m/s

The furthest horizontal distance the long jumper jumps, given that the motion is equivalent to that of a particle, is given by the formula for the range, R, of a projectile motion as follows;

[tex]R = \dfrac{u^2 \times sin \left (2 \cdot \theta \right )}{g}[/tex]

Where;

g = The acceleration due to gravity ≈ 9.8 m/s²

u = The initial velocity of the long-jumper = 11.0 m/s

θ = The angle of the direction above the horizontal the long-jumper jumps = 20.0°

Plugging in the values, gives;

[tex]R = \dfrac{(11.0 \ m/s)^2 \times sin \left (2 \times 20.0 ^{\circ} \right )}{9.8} = \dfrac{121 \ m^2/s^2 \times sin \left (40.0 ^{\circ} \right )}{9.8 \ m/s^2} \approx 7.94 \ m[/tex]

How far the long-jumper goes = The range, R, of the projectile motion ≈ 7.94 m.

3 QUESTIONS (SCIENCE)
First question: What can bad space weather do to earth?

Second question: What is the purpose of the United Nations Committee, and what do they do?

Third question: What protect Earth form much of the damage from space weather?

Answers

1) interference with short wave radio propagation
2)they try to make peace, make friendly environments
3)earths magnetic field

On an air track, a 4-kg cart moving at 3 m/s collides with a 2-kg cart that is
initially at rest. If the two carts stick together, what will be their velocity
after the collision? Show all calculations, including any equation(s) used,
and include correct measurement units. *
Your answer

Answers

Answer:

v₃ = 2 [m/s]

Explanation:

To solve such problems we must use the principle of conservation of momentum. That is, the linear momentum is conserved before and after the collision.

P = m*v

where:

P = linear momentum [kg*m/s]

m = mass [kg]

v = velocity [m/s]

The momentum is conserved before and after the collision, in this way we can obtain the following equation.

[tex](m_{1}*v_{1})+(m_{2}*v_{2})=(m_{1}+m_{2})*v_{3}[/tex]

where:

m₁ = mass of the cart moving = 4 [kg]

v₁ =  velocity of the cart moving before the collision = 3 [m/s]

m₂ = mass of the cart initially at rest = 2 [kg]

v₂ = velocity of the cart at rest = 0

v₃ = velocity of the two carts combined (carts stick together) after the collision [m/s]

[tex](4*3)+(2*0)=(4+2)*v_{3}\\v_{3}=12/6\\v_{3}=2[m/s][/tex]

A car traveling at a speed of 13 meters per second accelerates uniformly to a speed of 25 meters per second in 5.0 seconds. 11- Calculate the magnitude of the acceleration of the car during this 5.0-second time interval.

Answers

Answer:

[tex]a=2.4\ m/s^2[/tex]

Explanation:

Given that,

Initial speed of a car, u = 13 m/s

Final speed of a car, v = 25 m/s

Time, t = 5 s

We need to find the acceleration of the car during this 5.0 second time interval. Let a is the acceleration. It can be calculated as :

[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{25-13}{5}\\\\=2.4\ m/s^2[/tex]

So, the acceleration of the car is [tex]2.4\ m/s^2[/tex].

A box has a momentum of 38.0 kg*m/s to the right. A 88.3 N force pushes it to the right for 0.338 s. What is the final momentum of the box? (unit = kg*m/s)

Answers

Answer:

63.8454kgm/s

Explanation:

According to Newton's second law;

Force = mass ×acceleration

Fore = m(v-u)/t

Force = mv-mu/t

MV is the final momentum

mu is the initial momentum = 38kgm/s

Force = 88.3N

Time = 0.338s

Substitute and get mv

88.3 = mv-38/0.338

88.3×0.338 = mv-38

29.8454 = mv-38

MV = 29.8454+34

mv = 63.8454kgm/s

Hence the final momentum is 63.8454kgm/s

Answer:

67.8

Explanation:

im an acellus student, and this is the answer that i got when doing the problem.

A boiling liquid absorbs thermal energy (heat) at a rate of 450 W. The specific latent heat of vaporisation is 2.7 × 106 J / kg

Answers

Explanation:

sduhgg DJ j st jJjph h zo jojhljfdkfdpgpzpppap

What type of bond is formed when a metal from group 2 reacts with a nonmetal from group 6

Answers

Answer:

The correct answer is Ionic Bond

Explanation:

Group 2 elements are majorly metals, which include Magnesium (12), calcium (20), and some other metals, while the nonmetal from group 6 includes Oxygen (8), sulfur (16). The nonmetal gain electrons from the metal.

When metals in group two combine with nonmetal in group 6 they form an Ionic bond which is a strong bond.

The remaining electrons in the outer shell are transferred  when the oppositely charged ions of both elements combined. Where the metal transfers electrons to the nonmetal. For example, Magnesium (Mg) + Oxygen (O) = MgO. Magnesium transfers its (2) outer electrons to oxygen.

What is the correct answer?

Answers

Answer:3

Explanation:

You used 100 N of force to push a shopping cart 5m down the aisle in the grocery store. How much work did you do? *

Answers

Answer:

[tex]\boxed {\boxed {\sf 500 \ Joules}}[/tex]

Explanation:

Work can be found by multiplying the force by the distance.

[tex]W=F*d[/tex]

The force is 100 Newtons and the distance is 5 meters. Therefore,

[tex]F= 100 \ N \\d= 5 \ m[/tex]

We can substitute the values into the formula.

[tex]W= 100 \ N * 5 \ m[/tex]

Multiply.

[tex]W= 500 \ N*m[/tex]

1 Newton meter is equal to 1 Joule. Thus, our answer of 500 Newton meters is equal to 500 Joules.

[tex]W= 500 \ J[/tex]

You did 500 Joules of work to push a shopping cart 5 meters with a force of 100 Newtons.

Answer:

Given :-Force (F) = 100 NDisplacement (D) = 5 mTo Find :-

Work done

Solution :-

As we know that Work done is the product of Force and displacement

[tex] \tt \: w = force \: \times displacement[/tex]

[tex] \tt \: w = 100 \times 5[/tex]

[tex] \tt \: w = 500 \: j[/tex]

Therefore, Work done is 500 Joule

a beach ball is left in the bed of a pickup truck. Describe what happens to the ball when the truck accelerates forward

Answers

when the truck accelerates forward the ball will shift to the back of the bed of the truck because of inertia

A man attached a rope to a 30 kg box of books. He pulls with a force of 120 N at an angle of 60 with the horizontal. The kinetic friction is 33 N. Find the net force acting on the box.

Answers

Answer:

[tex]F_{net}=27N[/tex]

Explanation:

The forces acting on the box are:

The x-component of the pulling force [tex]F_{x}[/tex] and the friction force [tex]F_{fr}[/tex]. We assume positive in the direction of the pulling force in the x-component.  

[tex]F_{net}=F_{x}-F_{fr}[/tex]

[tex]F_{net}=Fcos(60)-F_{fr}[/tex]

[tex]F_{net}=120cos(60)-33[/tex]

[tex]F_{net}=27N[/tex]

I hope it helps you!

Madeline fires a bullet horizontally. The rifle is 1.9 meters above the ground. The bullet travels 200 meters horizontally before it hits the ground. What speed did Madeline's bullet have when it exited the rifle?

Answers

Answer: 321.027 m/s

Explanation:

First let´s analyze the vertical problem:

Always when an object is above the ground and nothing is holding it (like the bullet after being fired) the gravitational force will start acting on it.

Then the vertical acceleration of the bullet will be the gravitational acceleration, we can write this as:

a(t) = -g

Where g = 9.8m/s^2

and the negative sign is because this acceleration pulls the bullet downwards.

To get the vertical velocity we need to integrate over time, this will lead to:

v(t) = (-9.8m/s^2)*t + v0

where v0 is the initial vertical velocity, as the bullet is fired horizontally, there is no initial vertical velocity, then we have v0 = 0m/s

And the velocity equation is:

v(t) = (-9.8m/s^2)*t

Now for the vertical position, we need to integrate again, to get:

p(t)  =(1/2)*(-9.8m/s^2)*t^2 + p0

Where p0 is the initial vertical position, in this case, is 1.9 meters above the ground, then p0 = 1.9m

And the vertical position equation will be:

p(t) = (1/2)*(-9.8m/s^2)*t^2 + 1.9 m

Now we want to find the time such that the vertical position is equal to zero, this will mean that the bullet it the ground.

p(t) = 0m = (1/2)*(-9.8m/s^2)*t^2 + 1.9 m

    (1/2)*(9.8m/s^2)*t^2 = 1.9m

    (4.9m/s^2)*t^2 = 1.9m

                  t = √(1.9m/(4.9m/s^2)) = 0.623 seconds.

This means that the bullet will travel for 0.623 seconds before hitting the ground.

Now we also can ignore the air friction for the horizontal motion, then we can assume that the horizontal speed does not change.

Then we can use the relationship:

Distance = speed*time

We know that:

time = 0.623 seconds

distance = 200m

now we can replace that in the equation to find the horizontal speed.

200m = speed*0.623s

200m/0.623s = speed = 321.027 m/s

 

help please 10 pts and quick!

Answers

Answer:

A

Explanation:

Determine the velocity of a wave with frequency 10Hz and a wavelength of 10m.

Answers

Answer:

A wave with a frequency of 10 Hz and a wavelength of  10 m should have a velocity of 100 meters per second (m/s)

Explanation:

A child's first bicycle has 12-inch tires. These tires have a 6-inch radius. How fa r does the bicycle move forward each time the wheel makes one complete rotation? Give your answer in meters. (1 inch = 0.022 meters) b. A woman's ten-speed bicycle has 27-inch tires (13.5-inch radius). How far does this bicycle …

Answers

Answer:

a. s = 0.96 m

b. s = 2.15 m

Explanation:

a.

The relationship between the linear displacement and the angular displacement is given as follows:

[tex]s = r\theta[/tex]

where,

s = linear distance covered = ?

r = radius of wheel = (6 in)(0.0254 m/1 in) = 0.1524 m

θ = angular displacement = (1 rev)(2π rad/1 rev) = 2π rad

Therefore,

[tex]s = (0.1524\ m) 2\pi[/tex]

s = 0.96 m

b.

Assuming, we have to find linear displacement here, as well:

[tex]s = r\theta[/tex]

where,

s = linear distance covered = ?

r = radius of wheel = (13.5 in)(0.0254 m/1 in) = 0.3429 m

θ = angular displacement = (1 rev)(2π rad/1 rev) = 2π rad

Therefore,

[tex]s = (0.3429 \ m) 2\pi[/tex]

s = 2.15 m

PLEASE HELP ASAP!!!

Bradley is installing fencing on a farm. As he is installing the fencing, he moves 65.0 meters directly south, then turns, and goes 44.0 meters at an angle 25.0° east of south, where he finishes his work shift. What is his final displacement vector at the end of his shift??

a. 107m, 10.1°, east of south

b. 107m, 10.1° south of east

c. 121m, 14.1° south of east

d. 121m, 14.1° east of south

Answers

Answer:

The correct option is;

a. 107 m, 10.1°, east of south

Explanation:

The given question can be answered using vectors as follows;

The initial displacement south by Bradley = 65.0 meters

In vector form, we have

The initial displacement south by Bradley = -65·j

The displacement 25.0° east of south = 44.0 meters

In vector form, we have

The displacement 25.0° east of south = 44 × sin(25°)·i - 44 × cos(25°)·j

In vector, form, we have;

The total displacement = The sum of the vectors of the two displacement

∴ The total displacement = -65·j + 44 × sin(25°)·i - 44 × cos(25°)·j

The total displacement = 44 × sin(25°)·i - (44 × cos(25°) + 65)·j

We use the i and j components to find the magnitude and the direction of the total displacement as follows;

The magnitude of the total displacement = √((44 × sin(25°))² + (44 × cos(25°) + 65)²) = 106.5132881 ≈ 107

The magnitude of the total displacement ≈ 107 m

The direction of the total displacement = arctan((44 × sin(25°))/((44 × cos(25°) + 65)) = 10.0542797419° ≈ 10.1° east of south

John is pushing (horizontally) on a 100 kg (Fw = 980N) bench with an unknown force. If the coefficient of static friction is 0.20 and the acceleration is 1.84m/s/s, what is the applied force?

Answers

Answer:

1176N

Explanation:

Given parameters:

Mass of bench  = 100kg

Forward force  = 980N

Coefficient of static friction = 0.2

Acceleration  = 1.84m/s²

Unknown:

Magnitude of the applied force  =?

Solution:

Frictional force is a force that opposes motion, for a body to move, the applied force must be greater than the frictional force;

The Force applied;

  Force applied  = Frictional force + Weight of the body

   Frictional force  = umg

     u is the coefficient of static friction

      m is the mass

        g is the acceleration due to gravity

    Force applied  = 0.2 x 100 x 9.8 + 980 = 1176N

HELP ASAP!! WILL TRY TO GIVE BRAINLIEST

How are ribosomes different from other complex animal cell organelles?

Answers

Explanation:

Ribosomes are not quite the same as different organelles since they have no layer around them that isolates them from different organelles, they comprise of two subunits, and when they are creating sure proteins they can become film bound to the endoplasmic reticulum, however they can likewise be free drifting while at the same time performing

1. Why do we need to travel?​

Answers

Answer:

We're like children who move away from their parents - then back,

HUMANS LOVE to travel. Mentally or physically, they escape to other places. They crave adventure. They seek the unknown. They want to see new places, learn new things, enjoy new experiences and then return home to the familiar, the predictable, the secure, before taking off again on their travels.

This departure-return behaviour has its origins, perhaps, in the early exploratory behaviour of the child. Research has shown that children who are "securely attached" to their parents, sure of their affection and protection, and who know that their parents will respond to their needs, are more independent, adventurous and exploratory in their play and behaviour.

Observations of infants show that from the safe base of having a parent present and available, the infant dares to move away a short distance and then return to the parent, to move a little further and return, until in incremental and amazingly measurable distances it explores the environment that surrounds it and has the courage to move beyond it.

This may be the first symbolic travel: the first departure, the first expedition and the possible beginning of the travel bug for those for whom their initial independent voyaging was successful.

With these first independent steps away from the parental presence lies the atavistic or recurring wish to reach out beyond the current confines of space and relationship

and see what is further away. And yet further again to see what is not visible, what is around the next corner, in the next room and eventually on

the other side of our geographical or psychological world. This is a human need. It is why we have uncovered our world, travelled its length, hiked to the top of its mountains and the depth of its oceans. It is why we became discontent with exploring our own plant but had to move beyond it into the unknown. It is why, as poet TS Eliot reminds us, we will "not cease from exploration".

It is our nature to travel. It is our joy to travel. It is our paradoxical psychological disposition to wish for the contradictory conditions of stability and change: to stay and to go, to be and to explore, to rest and to travel unceasingly.

Travel is more than going somewhere. It is a psychological event. It requires motivation and imagination. It begins in childhood with faltering first steps and with imagination fired by the tales of "long, long ago in a faraway land".

We emerge from these fantasies of childhood determined to cross the oceans, to find those faraway lands, the characters they containand the magic they hold. Determined to find the adventures they promise and the prospect of returning home triumphant with trophies having vanquished all fear, overcome all obstacles and live happily eve after.

Answer:

to see the world and experience new things. it opens your mind and you can meet more people. you have a new view on the world after seeing it from other places, not only new views on the world but new cultures, and languages.

Explanation:

Why do humans to experience the four seasons

Answers

Answer:

As the earth spins on its axis, producing night and day, it also moves about the sun in an elliptical (elongated circle) orbit that requires about 365 1/4 days to complete. The earth's spin axis is tilted with respect to its orbital plane. This is what causes the seasons.

Explanation:

a_______ is a region where the magnetic fields of a large number of atoms are lined up parallel to a magnets field.

Answers

Answer:

Magnetic Domain

Explanation:

magnetic domain is the answer
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Mr. kim travels 32 weeks a year for work. He is home the other 20 weeks. There are 7 days in a week. Which of the following basic facts can Mr. Kim use to help find the number of days he is home. A. 2x7B. 3x7C. 32+7D. 20+7 2x2x2x2x2x2x2x2x2x2x2x2x2x2x2 Tim's phone service charges $23.86 plus an additional $0.17 for each text message sent per month. If Tim's phone bill was $28.11, which equation could be used to find how many text messages, x, Tim sent last month? A. $23.86x + $0.17 = $28.11 B. $0.17x - $23.86 = $28.11 C. $0.17x + $23.86 = $28.11 D. $23.86x - $0.17 = $28.11GIVING BRAIN PLZ ASAP Cheri's teacher asked her to write a program using the input() function. What will this allow her program to do? Please help me out. PART 2 HELPPPPPPPPPPPPPPPPPPPPPPPPPP Kendra and Dalisay practice archery, Kendra hits the target 3 times forevery 5 misses Dalisay hits the target 5 times for every 7 misses.Who hits the target more? why should we live with self respect In economies, an exchange rate deserbes:A the amount of currency available in fixed exchangesB the total value of a country's imports and exporte.C. how quiekly prices are rising in an international marketD how much one eurreney is worth compared to another What is the most specific group to which both camels and platypuses belong? Can anyone solve it for me Settlers from what country never successfully started a colony What is the probability of picking a purple marble and spinning green? What three parts were in hierachy Meso? What is true about Electronic Business Cards in Outlook 2016? Check all that apply.They are a way to share contact information with other users.You can choose what is included on the business card.You can create multiple electronic business cards.They can be shared only with users in the organization.You cannot send electronic business cards by email. Sheffield Corp. is constructing a building. Construction began on January 1 and was completed on December 31. Expenditures were $6450000 on March 1, $5350000 on June 1, and $8250000 on December 31. Sheffield Corp. borrowed $3250000 on January 1 on a 5-year, 10% note to help finance construction of the building. In addition, the company had outstanding all year a 8%, 3-year, $6410000 note payable and an 9%, 4-year, $12750000 note payable. What are the weighted-average accumulated expenditures please help meeee the blue line is what I have to find please show your work A teacher administers a standardized math test to his class of 75 students. The mean score (out of 300 possible points) is 235. From previous studies, you know the population standard deviation is 28. Using the sample data given, calculate a 95% confidence interval for the population mean. Why did trench warfare" happen on the Western Front in WWI? * HELP! WHAT IS THIS? WHO WANTS BRAINLEST?? DO STEP BY STEP!