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

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.

An object of mass m is traveling in a circle with centripetal force f c. If the velocity of the object is v, what is the radius of the circle?

Answers

Answer:

r = mv^2/ Fc

Explanation:

Got it right

What is the MAIN idea of the section "Green Loses Its Power In Fall"?

Answers

B is the main answe becuase Keith mecruty dies in the American war by being shot

If you push an 5 N object 2 m and then push a 10 N object 2 m. Which is TRUE?
You do the same amount of work.
You do more work when you move the 10 N object.
You are more powerful when you move the 5 N object
O You use the same amount of force.

Answers

Answer:

Explanation:

You don't do the same amount of work. The work formula is F*d = W

W = work

F = force

d = the distance moved.

So you do more work when you move the 10N object because the Force (F) has doubled.

Dawn and Timothy are sailboating in Lake Obewon. Starting from rest near the shore, they accelerate with a uniform acceleration of 0.39 m/s/s. How far are they from the shore after 18 seconds? *

Answers

Answer:

The value is [tex]s =63.18 \ m[/tex]  

Explanation:

From the question we are told that

   The uniform  acceleration is   [tex]a = 0.39 \ m/s^2[/tex]

   The time considered is [tex]t = 18 \ seconds[/tex]

Generally the from kinematic equation we have that

          [tex]s = ut + \frac{1}{2} at^2[/tex]

Given that the boat started from rest , the initial velocity is  u =  0  m/s  

So

       [tex]s = 0 * 18 + \frac{1}{2} *0.39 * 18^2[/tex]

=>      [tex]s =63.18 \ m[/tex]

derive formula of kinetic energy of particular having mass volume and velocity of dimensional analysis​

Answers

Answer:

E=1/2kmv^2

Explanation:

To get the formula...

The dimension of energy is [ M^1 L^2 T^-2]

The dimension of mass [M]=[M^1 L ^0T ^0]

Dimension of velocity[V]=[M ^0 L ^1 T ^−1]

Let [E]=k[M] ^x[V] ^y

K is constant and it remain a dimensionless quantity.

Therefore, M ^1L ^2T ^−2]=k[M ^1L ^0T ^0] x[M ^0L ^1 T ^−1] y

So, x=1,y=2

E= Kmv^2

K=1/2

Therefore E is 1/2kmv^2.

Which of the four spheres is this pictures/scene?
A) hydrosphere
B) biosphere
C) geosphere
D) atmosphere

Answers

I believe the correct answer is atmosphere (D).

Answer:

D) atmosphere

Explanation:

but the correct answer is troposhare

How much work is it to lift a 2.0 kg sack of potatoes vertically 6.5 m?

Answers

Answer:

Therefore, the work done to lift a 20 kg sack of potatoes of potatoes vertically 6.5 m is 1, 274 J.

what is the avarage speed during kick 1

Answers

is there answers to the problem ?

the work of warren washington would be most likely to explain which of the following phenomena

Answers

Answer:

t

Explanation:

A gradual shift of the North Magnetic Pole's position on Earth a steady rise in the planet's average temperature, a reduction in the Moon's light reflection.

What is the work of warren Washington?

Dr. Washington and his team were able to recreate the impacts of physics on several components of weather, such as “how heat energy, water vapor, and chemicals travel between Earth's seas and the atmosphere,”

Through the use of climate models. 3 After that, computers projected atmospheric changes using the information from the climate models.

The 2007 Intergovernmental Panel on Climate Change (IPCC) report, which found that human behavior has a direct impact on the environment, used these models to support its findings.

As a result, Dr. Washington and his team were awarded the 2007 Nobel Peace Prize3.

Therefore, a slow change in the location of Earth’s North Magnetic Pole A gradual increase in Earth’s average temperature A decrease in the light reflection of the Moon

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Which two elements would most likely form an ionic compound?

a
From the Periodic Table of Elements - #6 carbon and #8 oxygen
b
From the Periodic Table of Elements - #3 lithium and #9 fluorine
c
From the Periodic Table of Elements - #1 hydrogen and #7 nitrogen
d
From the Periodic Table of Elements - #5 boron and #10 neon

Answers

Answer:

boron and neon.

Explanation:

two element compounds are usually ionic when one element is a metal and the other is a non-metal. boron is a metal, whereas neon is a non-metal. i might be wrong but hope it helps.

What does the unit Newton equal to in Sl units?​

Answers

Answer:

Newton is the SI unit of force

Explanation:

A force of 1 Newton is said to be applied when an object of 1kg mass is transferred into motion at 1m/s.

The Newton is the force that accelerates 1 kilogram of mass at the rate of 1 meter per second^2.

In SI base units, 1N = 1 kg-m/s^2 .

PLEASE ANSWER ASAP
The thermal energy produced by an electric heater in three minutes is used to melt wax. The
solid wax is initially at its melting point of 60 0C.
The specific latent heat of the wax is 220 J / g. The heater supplies 7700 J of thermal energy to
the wax. Some of the wax melts.
How much wax melts?

Answers

Answer:

m = 35 g = 0.035 kg

Explanation:

The amount of heat required by a specific mass of wax to be melted at its melting point can be given by the following formula:

[tex]Q = mL[/tex]

where,

Q = Heat Supplied by the Heater = 7700 J

m = mass of wax melted = ?

L = Latent Heat of Fusion of Wax = 220 J/g

Therefore,

[tex]7700\ J = m(220\ J/g)\\m = \frac{7700\ J}{220\ J/g}\\\\[/tex]

m = 35 g = 0.035 kg

Suggest a form of renewable energy that could be used to power an electric ticket machine that only needs to work during daylight hours.

Answers

Answer:

solar panel or wind turbine

Explanation:

Because solar panel gives energy to electricity by sun and wind turbine gives energy through wind and both are renewable

Renewable energy that could be used to power an electric ticket machine that only needs to work during daylight hours is solar energy.

What is solar energy?

Solar energy is the term for solar radiation that can create heat, trigger chemical reactions, or create electricity. The total solar energy incident on Earth is far greater than the global energy needs at the moment and in the future. This highly distributed source has the ability to meet all future energy demands if properly exploited.

Due to its limitless supply and lack of pollution, solar energy is predicted to become a more appealing renewable energy source in the twenty-first century than the finite fossil fuels coal, petroleum, and natural gas.

Although sunlight is by far the most potent energy source that Earth receives from the Sun, its intensity at the surface of the planet is actually rather modest.

This is primarily due to the massive radial radiation propagating from the far-off Sun. Earth's atmosphere and clouds, which absorb or scatter as much as 54% of the incoming sunlight, cause a comparatively small additional loss.

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Neeeee rnnnn ASAP offering 55 points CER: Brielle pushes a shopping cart through the store with an acceleration of 2
m/s2. The mass of the shopping cart with the groceries in it is 22 kg. Guiding
Question: How can Brielle increase the acceleration of the shopping cart?

Answers

Answer:

Decease the mass

Increase the force applied

Explanation:

To increase the acceleration of the shopping cart, Brielle should reduce the load inside her cart.

According to Newton's second law of motion;

  Force  = mass x acceleration

Now, mass is indirectly proportional to the acceleration. The more the mass, the lower the acceleration a body will generate.

Lighter bodies moves with a faster acceleration.

In this case the force applied is constant.

If the force applied is also, increased the acceleration of the body will increase also.

Write the newtons formula for the velocity of sound in air .how did Laplace correct this formula ? ​

Answers

Answer:

1:    v = √E/ρ where E is the elasticity and ρ is the density. Newton's assumed that sound wave travel in air under isothermal condition

2:  He corrected Newton's formula by assuming that, there is no heat exchange takes place as the compression and rarefaction takes place very fast. Thus, the temperature does not remain constant and the propagation of the sound wave in air is an adiabatic process.

Mr. Davis is riding his bike at a speed of 5 meters per second for 3600 seconds how far did he ride?

Answers

Answer:18,000 meters

Explanation:3600x5=18,000.

What current in a solenoid 15-cm long wound with 100 turns would produce a magnetic field equal to that of the Earth, 5 cross times 10 to the power of negative 5 end exponentT ?

Answers

Answer:

The value is  [tex]I= 0.0597\ A[/tex]  

Explanation:

From the question we are told that

    The length of the solenoid is [tex]l = 15 \ cm = 0.15 \ m[/tex]

     The number of turns is  [tex]N = 100[/tex]

      The  magnetic field of the earth is  [tex]B = 5* 10^{-5} \ T[/tex]

Gnerally magnetic field is mathematically represented as

          [tex]B = \frac{\mu_o * N * I }{ l }[/tex]

=>        [tex]I= \frac{Bl}{ \mu_o *N }[/tex]

=>        [tex]I= \frac{ 5 *10^{-5} * 0.15}{4\pi *10^{-7} *100 }[/tex]  

=>        [tex]I= 0.0597\ A[/tex]  

how can 23.78 x 10 to the power of negative 6 metre cube per mole changed to meter cube?​

Answers

Answer:

We multiply [tex]x = 23.78\times 10^{-6}\,\frac{m^{3}}{mol}[/tex] by the amount of mole to change units to cubic meters.

Explanation:

Let [tex]x = 23.78\times 10^{-6}\,\frac{m^{3}}{mol}[/tex], we change the unit to cubic meters by multiplying this number by the amount of moles of the sample. For instance, let [tex]n = 1\,mol[/tex], then the obtain the following result:

[tex]m = x\cdot n[/tex] (1)

[tex]m = \left(23.78\times 10^{-6}\,\frac{m^{3}}{mol} \right)\cdot (1\,mol)[/tex]

[tex]m = 23.78\times 10^{-6}\,m^{3}[/tex]

Calculate the momentum of a 78 kg cheetah running at 24 m/s.

Answers

Answer:

1872 kg.m/s

Explanation:

The momentum of an object can be found by using the formula

momentum = mass × velocity

From the question we have

momentum = 78 × 24

We have the final answer as

1872 kg.m/s

Hope this helps you

1Which of the following components of blood would you expect to see in higher
numbers at a site of infection?
a. Red Blood Cells
b. White Blood Cells
C. Platelets
d. Plasma

Answers

white blood cells(b) :)

An 800 kHz radio signal is detected at a point 3.2 km distant from a transmitter tower. The electric field amplitude of the signal at that point is 320 mV/m. Assume that the signal power is radiated uniformly in all directions and that radio waves incident upon the ground are completely absorbed. The magnetic field amplitude of the signal at that point, in nT, is closest to:

Answers

Answer:

1.07 nT

Explanation:

We know that E/B = c where E = electric field amplitude = 320 mV/m = 0.32 V/m, B = magnetic field amplitude and c = speed of light = 3 × 10⁸ m/s.

So, B = E/c

Substituting E and c into B, we have

B = E/c

= 0.32 V/m ÷ 3 × 10⁸ m/s

= 0.1067 × 10⁻⁸ T

= 1.067 × 10⁻⁹ T

= 1.067 nT

≅ 1.07 nT

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

What is the random walk?

Answers

Answer:

In mathematics, a random walk is a mathematical object, known as a stochastic or random process, that describes a path that consists of a succession of random steps on some mathematical space such as the integers.

Explanation:

an object has a weight on the surface of the earth of 370 N. What is the mass

Answers

Explanation:

The mass of the object is 370N / (9.81N/kg) = 37.7kg.

answers to anatomy and physiology coloring workbook chapter 7 the nervous system page 142-144

Answers

Answer:the nervous system

Explanation:

Anatomy vs Physiology as the Anatomy is the study of the structure of living organisms, while Physiology is the study of the function of living organisms.

What is the nervous system?

Nervous System the nervous system integrates and controls the body's functions through electrical and chemical signaling. Anatomy focuses on the physical makeup of living organisms and their components, such as organs, tissues, and cells.

This includes the external and internal structures of the body, as well as the relationships between these structures. On the other hand, Physiology examines how living organisms perform the functions necessary for life, such as respiration, digestion, circulation, and movement.

Physiology explores the processes and mechanisms behind these functions, including biochemical reactions, electrical and mechanical events, and hormonal regulation.

The nervous system consists of the brain, spinal cord, and a network of nerves that extend throughout the body. It is responsible for collecting, processing, and transmitting information about the internal and external environment to the rest of the body.

The nervous system also regulates the activity of other systems in the body, such as the endocrine, cardiovascular, and respiratory systems.

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Explain how the shape of a river's stream bed can affect the river's speed and its power to cause erosion.

Answers

The shape of a river's stream bed affects the speed and eroding power of a river by influencing the amount of friction between the water flowing through the river and the stream bed below. Friction is the force that opposes the motion of one surface as it moves across another surface. In a river, there is friction between the flowing water and the stream bed beneath it. Where a river is deep, less water comes into contact with the stream bed, so there is less friction. The reduced friction means there is less opposition to the water's motion, so the river flows at a greater speed and has more kinetic energy for erosion. On the other hand, where a river is shallow, more water comes into contact with the stream bed, so there is more friction. The increased friction means there is more opposition to the water's motion, so the river flows at a lesser speed and has less kinetic energy for erosion. Also, the roughness of a stream bed covered with boulders and other obstacles causes the water to flow through the river in a turbulent fashion. This could cause the river to move slower in some cases or erode more in other cases.

Answer:

Possiable answer by edge:

The shape of a river’s stream bed affects the speed and eroding power of a river by influencing the amount of friction between the water flowing through the river and the stream bed below. Friction is the force that opposes the motion of one surface as it moves across another surface. In a river, there is friction between the flowing water and the stream bed beneath it. Where a river is deep, less water comes into contact with the stream bed, so there is less friction. The reduced friction means there is less opposition to the water’s motion, so the river flows at a greater speed and has more kinetic energy for erosion. On the other hand, where a river is shallow, more water comes into contact with the stream bed, so there is more friction. The increased friction means there is more opposition to the water’s motion, so the river flows at a lesser speed and has less kinetic energy for erosion. Also, the roughness of a stream bed covered with boulders and other obstacles causes the water to flow through the river in a turbulent fashion. This could cause the river to move slower in some cases or erode more in other cases.

Explanation:

summary of answer:

influencing the amount of friction between the water flowing through the river and the stream bed below.

How much force would be needed to
push a 22 kg box across the floor with
an acceleration of 1.9 m/s^2? Assume
that there is a coefficient of friction of.
17 between the box and the floor.
Help me with this!!!!!!!it’s due in 10 minutes

Answers

There would be two forces acting on the box parallel to the floor, with a net force of

F = p - f = m a

where p = magnitude of the push, f = mag. of friction, m = mass of the box, and a = acceleration. To find p, we first need f .

There are also only two forces acting on the box perpendicular to the floor, with net force

F = n - w = 0

where n = mag. of normal force of the floor on the box and w = weight of the box. The net force is 0 because the box is only accelerating parallel to the floor.

w = m g, where g = 9.8 m/s² is the mag. of the acceleration due to gravity, so we can solve for n :

n = w = m g

n = (22 kg) (9.8 m/s²)

n = 215.6 N

The kinetic friction is proportional to the normal force by a factor of the given coefficient of friction, µ = 0.17, such that

f = µ n

f = 0.17 (215.6 N)

f = 36.652 N

Now solve for the required pushing force:

p - 36.652 N = (22 kg) (1.9 m/s²)

p ≈ 78 N

Answer:

0

Explanation:

A tourist stands at the top of the Grand Canyon, holding a rock, overlooking the valley
below. Find the final velocity, and displacement of the rock after 4.0 seconds give the three
initial conditions listed below.

Answers

Answer:

a. Vf = 39.24 [m/s]

b. Vf = 31.24 [m/s]

c. Vf = 47.24 [m/s]

Explanation:

To solve this problem we can use the following equation of kinematics. We have to keep in mind that the gravitational acceleration acts downwards, therefore when the rock falls towards the abyss it has the same direction of the acceleration and that is why the gravitational acceleration has a positive sign in the equation.

[tex]v_{f}=v_{o}+g*t[/tex]

where:

Vf = final velocity [m/s]

Vo = initial velocity = 0 (when the rock is dropped)

g = gravitational acceleration = 9.81 [m/s²]

t = time = 4 [s]

a.

[tex]v_{f}=0+9.81*4\\v_{f}= 39.24 [m/s][/tex]

b.

In this particular situation, the acceleration will be taken as negative because the gravity is pointing in the opposite direction of the movement of the rock.

[tex]v_{f}=8-(9.81*4)\\v_{f}=-31.24[m/s][/tex]

The negative sign in the answer tells us that the rock no longer moves up instead it does downwards when 4 seconds have passed.

c.

[tex]v_{f}=8+(9.81*4)\\v_{f}=47.24[m/s][/tex]

A race car, moving initially with a speed of 15.0 m/s, is capable of accelerating at a rate of 6.0 m/s?. What will be the speed
of this car after accelerating for a time period of 8.00 seconds?
m/s

Answers

Answer:

[tex]v_{f}=63\ \frac{m}{s}[/tex]

Explanation:

[tex]v_{f}=v_{i}+a\cdot t[/tex]

[tex]v_{f}=15\ +\ 6\cdot8[/tex]

[tex]v_{f}=63\ \frac{m}{s}[/tex]

Therefore, the speed of the car is 63m/s after 8 seconds while accelerating at it maximum capability.

Other Questions
pls help. read each sentence from R.J. palacio's wonder.use the drop-down menus to choose the sense that the details in the sentence most appeal to. Although bipedalism is unusual, humans are not the only living bipeds. For example, some flightless birds are also bipedal. Identify a living nonprimate animal that is also a biped. Then, compare its bipedalism with our bipedalism. Try to consider how it moves and some of its possible adaptations (such as limb length). Use resources in your classroom, credible online sources, or books to help you if necessary. The table below shows the probability distribution of student ages in a high school with 1500 students. What is the expected value for the age of a randomly chosen student? Age: 13 14 15 16 17 18Prob: 0.01 0.25 0.27 0.30 0.16 0.01 Which of the following provides evidence for the hypothesis of punctuated equilibrium? A. the discovery of many fossils of different forms corresponding to a line of ancestors for a species B. the discovery of a common sequence of DNA in several different species C. the discovery of a vestigial structure in an organism D. the discovery of an abrupt change in DNA in a species after many generations of no change Christmas Special Before I ask you to Answer my QuestionOn the first day of Christmas my true love Ran From Me (My IQ)Because of My Homework that I Still Need to CompleteOn the second day of Christmas my true love Ditched meNow I Have many Assignments to CompleteOn the third day of Christmas my true love Forever Left meNow I only Have C's and No Tv and a Slipper coming after meOn the fourth day of Christmas my true love that I havent SeenBecause of that I Have, No Brain CellsForgot How to Spell and All The Easy Assignments that I Have That I can you to Make a boat overseas!_____________________________________________________________Now Im Gonna Ask you Can you please help me with these two QuestionsAnswer All , Correctly, Explained, Quickly and Have a Merry Christmas! answer this please it due today Choose the concise statement which bestclarifies this sentence:"I don't usually watch TV on Saturday night, butthis time I did because my parents were out, andit turned out that I really liked that new TV showcalled Best Bets that's about horseracing, and Itried to get my sister to watch it only she wasbusy texting her friends."I was surprised to discover that I like the show"Best Bets."O I don't usually watch TV on Saturday nights, butnow I will.My sister hates watching television.Everyone loves the show "Best Bets." Naomi has a lot of stuff in her pencil case. There are 18 items in her pencil case, including 9 pencils. What is the probability that a randomly selected item from Naomi's pencil case will be a pencil? Write your answer as a fraction or whole number. P(pencil) = What is the significance of and what is the location of:The Alps:Pyrenees Mountains:Lake Baikal: tan22 + tan23 tan22. tan23 = 1 prove that Cars are powered by fossil fuels, which come from the remains of ancient living things that were buried and exposed to high temperature and pressure from Earths interior.Which spheres are represented when fossil fuels form?A- atmosphere and biosphereB- biosphere and geosphereC- cryosphere and atmosphereD- geosphere and hydrosphere Which item best describes the purpose of Susan B. Anthony's speech?A) to persuade listeners that women are citizen, and therefore have the right to voteB) to give a chronological account of the development of the U.S. ConstitutionC) to describe the problem of an unfair Constitution and propose one that is more fair as a solutionD) to give information about voting in other countries -Which plan charges a higher monthly rate? Justify your answer.-The plan that charges the higher monthly rate charges__as much as the other plan.a. 1.2b. 0.78c. 1.28d. 0.83-What is the one-time fee of fitness plan B? WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!!Write the equation of the line with a slope of -1.6 and a y-intercept of 4 in slope-intercept form. two importance of proteins in human What did President Taft's administrationdo that upset Teddy Roosevelt so muchthat he decided to run for President in1912?A. Taft was caught in an oil business scandal.B. Taft used the "big stick" diplomacy.C. Taft stopped all of Roosevelt's trust busting efforts.D. Taft's secretary of the interior sold some of the NationalParks land Roosevelt had reserved. what are the possible blood types of a child whose parents are both heterozygous for b blood type Did Opposing troops compete for power in the Muslim empire & a major split developed in Islam in the late 600's. 18. The radius of a circle is increasing at a constant rate of 3 cm per second. What is the rate of increase (at any point)of the area of the circle? Is this a trustworthy source? Does this account of Turners character seem believable? Explain.