A softball pitcher rotates a 0.250 kg ball around a vertical circular path of radius 0.5 m before releasing it. The pitcher exerts a 33.0 N force directed parallel to the motion of the ball around the complete circular path. The speed of the ball at the top of the circle is 13.0 m/s. If the ball is released at the bottom of the circle, what is its speed upon release

Answers

Answer 1

Answer:

The value is  [tex]u = 27.93 \ m/s[/tex]

Explanation:

From the question we are told that

   The  mass of the ball is [tex]m = 0.250 \ kg[/tex]

    The radius of the circle is  [tex]r = 0.5 \ m[/tex]

    The force exerted is  [tex]F = 33 \ N[/tex]

    The  speed of the ball on top of the circle is  [tex]v = 13.0 \ m/s[/tex]

Gnerally from the law of energy conservation we have that

     [tex]PE + W = \Delta KE[/tex]

Here PE  is the potential energy of the pitcher which is mathematically represented as

      [tex]PE = m * g * (2 r )[/tex]

=>   [tex]PE = 0.250 * 9.8 * (2 * 0.5 )[/tex]  

=>   [tex]PE = 24.5\ J[/tex]

And  W  is the workdone by the force applied which is mathematically represented as

       [tex]W = F * \pi * r[/tex]

=>    [tex]W = 33 * 3.142 * 0.5[/tex]

=>    [tex]W = 51.84 \ J[/tex]

And   [tex]\Delta KE[/tex] is the change in kinetic energy which is mathematically represented as

       [tex]\Delta KE = \frac{1}{2} * m * (v^2 - u^2 )[/tex]

=>    [tex]\Delta KE = \frac{1}{2} * 0.250 * ( 13^2 - u^2 )[/tex]

=>    [tex]\Delta KE = 0.125 * ( 13^2 - u^2 )[/tex]

=>    [tex]\Delta KE = 21.125 - 0.125u^2[/tex]

So

      [tex]24.5 + 51.84 = 21.125 - 0.125u^2[/tex]

=>    [tex]u = 27.93 \ m/s[/tex]

Answer 2

The velocity of the ball released at the bottom is required.

The velocity of the ball released at the bottom is 24.56 m/s

F = Force = 33 N

r = Radius of loop = 0.5 m

m = Mass of ball = 0.25 kg

u = Initial velocity of ball = 13 m/s

v = Final velocity

g = Acceleration due to gravity = [tex]9.81\ \text{m/s}^2[/tex]

The energy balance of the system is given by

[tex]F\pi r+mg2r=\dfrac{1}{2}m(v^2-u^2)\\\Rightarrow v=\sqrt{\dfrac{2}{m}(F\pi r+mg2r)+u^2}\\\Rightarrow v=\sqrt{\dfrac{2}{0.25}(33\times \pi\times 0.5+0.25\times 9.81\times 2\times 0.5)+13^2}\\\Rightarrow v=24.56\ \text{m/s}[/tex]

The velocity of the ball released at the bottom is 24.56 m/s.

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Related Questions

Shows a car travelling around a bend in the road. The car is travelling at a constant speed. There is a resultant force acting on the car. This resultant force is called the centripetal force. (i) In which direction, A, B, C or D, does the centripetal force act on the car? Tick ( ) one box. A B C D (1) (ii) State the name of the force that provides the centripetal force.

Answers

Answer:

This question is incomplete

Explanation:

This question is incomplete but the missing figure is in the attachment below.

When an object is travelling around a circular path, there is a force that tends to draw that object towards the center of the circular path and keep the object moving in the curved path, that force is called the centripetal force. From this description, it can be deduced that the direction of the centripetal force that acts on the car (in the attachment below) is D.

The name of the force that provides this centripetal force is frictional force. This is the force that prevents the car from slipping off the road; keeping it moving in the curved path.

Fill in the blank.
_______________, not velocity, is used to calculate the average acceleration.

Answers

Answer:

speed

Explanation:

Change in velocity, not velocity, is used to calculate the average acceleration. Velocity is displacement over time.

Acceleration:

It is defined as the ratio of change in velocity to time. It is given by:

Acceleration= Change in velocity / time

a= u-v / t

where,

u= initial velocity

v= final velocity

t= time

Thus, we can conclude that a change in velocity is used to calculate average acceleration.

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The formula can be used to convert temperatures between degrees Fahrenheit () and degrees Celsius (). How many degrees are in the Celsius equivalent of -22 F

Answers

Answer:

-30°C

Explanation:

F-32/180 =C-0/100

or, -22-32/180=C/100

or, -54/180*100=C

or, -0.3*100=C

therefore, C= -30

-22°F = -30°C

PLEASE MARK ME AS BRAINLIEST!

will you help me please

Answers

Answer: True

Explanation: It's true because the definition of a Command economy states that it's an economy in which production, investment, prices, and incomes are determined CENTERALLY by a GOVERNMENT.

Sara is riding her bike down the road at 35 km/hr. She starts to peddle faster as she
approaches and rides up a hill. She accelerates at 2.0 km/hr2 for 3.0 minutes before
reaching the top of the hill. How long distance) did it take her to get to the top of the
hill?​

Answers

Answer:

Distance covered to top of the hill was : 1.755 km

Explanation:

Initial velocity = 35 km/hr

Acceleration = 2.0 km/hr²

Time taken to accelerate = 3 minutes = 3/60 hours = 1/20 hours

Formula for acceleration : a = Δv /t  

v-u/t    ---where u is initial velocity , v is final velocity and t is time taken for acceleration

v- 35 / 0.05 = 2

v = 35.10 km/h

Formula for distance is product of speed and time

Distance covered = 35.10 * 0.05 = 1.755 km

PLEASE HELP! FOR BRAINLIEST!

Answers

Answer:

i read the whole thing the answer that matches the most is C

hope this helped :D

Explanation:

hewo pweese help
A runner accelerates at 3 m/s/s for total of 6 seconds. How far will she have run during this time?

Answers

Answer: 18 m/s/s

Explanation:

3 times 6 equals 18 and 3 seconds every second makes this equation

An alkane has molecular weight 86. Write its molecular formula. What will be its physical state?

Answers

C6H14

Gaseous state

it's unsaturated hence gaseous

The development of current atomic theory has changed over time as result of different proposed models and experiments. Place these in chronological order.

Answers

Answer:

b????

Explanation:

hope its right

The development of the current atomic theory has changed over time as a result of different proposed models and experiments as per the chronological order of the development of the atomic models, the correct answer is option B

What are atomic models?

There are some models that are used to explain the arrangements of subatomic particles inside the atom based on the atomic theory of atom are known as the atomic models.

As given in the problem statement The development of the current atomic theory has changed over time as a result of different proposed models and experiments. The chronological order of the atomic model is given as follows

John Dalton's atomic model

The Plum Pudding Model, developed by J.J. Thomson,

Using the alpha particle bombardment experiment on a thin sheet of gold, Rutherford's model

Niels Bohr's model explained the revolving nature of the electrons in the different shells around the nucleus of the atom.

Erwin Schrodinger's model explains the arrangement of the subatomic particles as the electron Cloud Model

Thus, the correct answer is option B.

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similarities between the flow of water and an electric circuit.

Answers

They both flow in currents. Water has a pump that works like a battery and pipes that work like a circuit.

The law of __________________________ says that people think of similar objects as belonging together.

Answers

Answer:

Explanation:is the law means that the police are the law

I think the answer would be the principle of similarity.. It states that when things appear to be similar to each other that people tend to group the objects together. Also they tend to think of them as the same function. Not totally sure, but I hope this helped.

Gradually increasing resistance, increasing repetition, increasing sets are examples of which principle?

Answers

Answer:

Resistance training.

Explanation:

Resistance training is based on the principle of gradually increasing resistance, increasing repetition and increasing sets to acquire resistance. Resistance training refers to those physical exercises which are designed and done to improve strength and endurance of the body. Resistance training uses the principle of repetition of a particular exercise in order to attain strength as well as resistance against diseases.

Which electron dot diagram shows the bonding between 2 chlorine atoms?2 dots then C l with 2 dots above and 1 dot below then 2 dots then 2 dots then C l with 2 dots above and 1 dot below then 2 dots.2 dots then C l with 2 dots above and 2 dots below then 2 dots then C l with 2 dots above and 2 dot below then 2 dots.2 dots then C l with 2 dots above and 2 dots below then 1 dot then C l with 2 dots above and 2 dots below then 2 dots.2 dots then C l with 2 dots above and 1 dot below then 3 dots then 3 dots then C l with 2 dots above and 1 dot below then 2 dots.

Answers

Answer:

It is B

Explanation:

Answer: 2nd answer

Explanation: took exam

what is not a raquet sport

Answers

Answer:

what

Explanation:

Racket sports include tennis, badminton, squash or any other sport where you use rackets to hit a ball or shuttlecock to play. They can be played competitively or just for fun and are a great form of physical activity.

29. A student notices that wearing care colors insight makes him feel warmer se he decides to conduct an experiment. He kese seces of bored and was
each one around a bete beten places alive betties in direct sunlight and measures the temperature of the water in each clean hout
what is the independent variable in this exermet
the temperature of the water
the outside temperature
the color of the con

Answers

Answer:

This question is unclear but the answer is:

the color of the con

Explanation:

In an experiment, the independent variable is the variable that is changed or manipulated by the experimenter to achieve a measurable response.

In this experiment which involves a student that notices that wearing care colors insight makes him feel warmer se. He decides to conduct an experiment by manipulating the colors of the cares, hence, the color of the con is the independent variable.

A rolling rock with a velocity of 20 m/s has a momentum of 5000 kg m/s. What is the rock’s mass

Answers

Answer:

250 kg

Explanation:

The mass of the rock can be found by using the formula

[tex]m = \frac{p}{v} \\ [/tex]

p is the momentum

v is the velocity

From the question we have

[tex]m = \frac{5000}{20} = \frac{500}{2} = 250 \\ [/tex]

We have the final answer as

250 kg

Hope this helps you

TNT is an example of a high explosive. True False

Answers

The answer is true I think I had this question too

The statement "TNT is an example of a high explosive." is true.

What is TNT?

TNT, short for trinitrotoluene, is a highly explosive chemical compound that is widely used in military and industrial applications. It is a pale yellow crystalline solid that is highly sensitive to heat, shock, and friction. TNT is made by the nitration of toluene, a colorless liquid hydrocarbon that is derived from petroleum.

TNT is known for its high explosive power, which makes it a popular choice for use in bombs, missiles, and other weapons. When TNT is detonated, it releases a large amount of energy in the form of a shock wave and high-temperature gases. This explosive power is due to the presence of three nitro groups (-NO2) in the TNT molecule, which makes it highly unstable and reactive.

Despite its explosive properties, TNT is relatively stable under normal conditions and can be stored and transported safely. It is also relatively easy to manufacture, which has made it a popular choice for military applications since World War I. Today, TNT is still used in a variety of military and industrial applications, although it has been largely replaced by more powerful explosives in some applications.

Therefore, The correct answer is True. TNT (trinitrotoluene) is a high explosive that is commonly used in military and industrial applications. It is highly sensitive to heat, shock, and friction and can release a large amount of energy when it detonates.

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which is an example of a physical change?
a.ice melting
b.iron rusting
c.wood burning
d.garbage rotting

Answers

Answer:

b

Explanation:

b

Answer:

Ice melting

Explanation:

You can see ice melting and its a physical change. Iron rusting is not a physical change and wood burning is not either and garbage is not either.

How are speed and velocity similar?

Answers

Answer:

Speed and velocity are related in much the same way that distance and displacement are related. Speed is a scalar and velocity is a vector.

Epithelial tissues often form the lining of organs and secrete substances such as digestive enzymes.

True
False

Answers

Answer:

ohh yes. answer is true

False it’s false false false

I make you a brainlist helppp

Calculate the
combined mass
of this go kart
and its rider if
the cart exerts a force of 800
N and the car accelerates at
7 m/s2??

Answers

Answer:

114.29 kg

Explanation:

The mass of the car can be found by using the formula

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

f is the force

a is the acceleration

From the question we have

[tex]m = \frac{800}{7} \\ = 114.285714...[/tex]

We have the final answer as

114.29 kg

Hope this helps you

How do photons help explain the photoelectric effect?
A. Changing light frequencies create opposing electric fields that affect electrons.
B. "Packets" of electromagnetic energy eject electrons.
C. Particles with positive charge attract negative electrons.
D. Single particles of light take the place of electrons that have similar mass and energy.

Answers

Answer:

Option B

"Packets" of electromagnetic energy eject electrons.

Explanation:

A photon is a tiny packet of light. Light as we know is a form of electromagnetic energy. Whenever light is incident on a photoelectric surface, the energy of the light wave gets transferred to the electron, causing it to have enough energy to eject electrons from its surface. The electrons, once ejected, are now free to move about, thus, resulting in the flow of electrical current.

This makes option B the correct answer

Heat _________________ throughout our environment ________________ of the ________________.

Answers

is spread

....!

!

please complete the question

Yuna is writing an opinion piece about her Schools lunch menu which text structure would best Express her ideas check all that apply​

Answers

Answer:

Cause and effect, problem and solution, order of importance, comparison and contrast.

Explanation:

The air is an example of a gas in a gas solution. True or false

Answers

True! Air is in fact a natural gas in a gas solution.

Hope this helped!
true, air is an example of a gas in a gas solution.

A force of 900N acts on
a stationary body
for 40sec and the body acquires the velocity of360 m/s calculate mass a body.

Answers

Answer:

Explanation:

It is still using F = m*a -- just in a disguised form.

Givens

F = 900 N

vf = 360 m/s

vi = 0

t = 40 second

Formulas

a = (vf - vi)//t

F = m * a

Solution

a = (360 - 0)/ 40

a = 9

F = m * a

900 = m * 9

m = 900/9

m - 100 kg.          Doesn't seem high enough.

Answer:

a= V- u/t

a= 360 - 0 /40 = 9 m/sec2

F = MA

900 = M * 9

M = 900/9

M= 100 kg

help please asap due 20 minutes please help me ​

Answers

did you turn it in yet?

a basketball rolling across a flat floor has___ energy. PLZ HELP

Answers

Kinetic energy is the answer

Answer:

kinetic energy

Explanation:

I know the answer because Im built differen

can someone help me figure out which one it is

Answers

Answer:

X=dt

.

.

.

.

.

.

hope it helps...

A loudspeaker produces a sound wave of frequency 50hz.
The amplitude of sound wave is increased.
What is heard?
A) a louder sound of higher pitch.
B) a louder sound of the same pitch.
C) a sound of higher pitch but the same loudness.
D) a sound of the same pitch and loudness as before.

Answers

Hey mate
Here is your answer
Option A)
Explanation:
The larger the amplitude of the waves, the louder the sound. Pitch (frequency) – shown by the spacing of the waves displayed. The closer together the waves are, the higher the pitch of the sound.
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