A small lead ball, attached to a 1.75-m rope, is being whirled in a circle that lies in the vertical plane. The ball is whirled at a constant rate of three revolutions per second and is released on the upward part of the circular motion when it is 2.1 m above the ground. The ball travels straight upward. In the absence of air resistance, to what maximum height above the ground does the ball rise?

Answers

Answer 1

Answer:

h = 57.6 m

Explanation:

First, we find the linear speed of the ball while in circular motion:

v = rω

where,

v = linear speed of ball = ?

r = radius of circle = length of rope = 1.75 m

ω = angular speed = (3 rev/s)(2π rad/1 rev) = 18.84 rad/s

Therefore,

v = (1.75 m)(18.84 rad/s)

v = 32.98 m/s

Now, we apply the 3rd equation of motion on the ball, when it breaks:

2gh = Vf² - Vi²

where,

g = - 9.8 m/s² (negative sign due to upward motion)

h = height covered = ?

Vf = Final Velocity = 0 m/s (since, the ball finally stops at highest point for a moment)

Vi = Initial Velocity = 32.98 m/s

Therefore,

2(- 9.8 m/s²)h = (0 m/s)² - (32.98 m/s)²

h = ( - 1088.12 m²/s²)/( - 19.6 m/s²)

h = 55.5 m

since, the ball was initially at a height of 2.1 m from ground. So, the total height from ground, will now become:

h = 55.5 m + 2.1 m

h = 57.6 m


Related Questions

A bicycle travels at a velocity of 2.33 m/s, and has a displacement of -58.3 m. How much time did it take?

Answers

Answer:

The time will be: 25.02 seconds

Explanation:

Given

A bicycle travels at a velocity of 2.33 m/s.

i.e.

v = 2.33 m/s

and

displacement = d = 58.3 m

As we know the formula to find the time

Time = Displacement/Velocity

        = d/v

        = 58.3/2.33

        = 25.02 seconds

Therefore, the time will be: 25.02 seconds

The table below shows the right ascensions of two stars at a location.


Name of star Right ascension
Star 1 2 hours
Star 2 4 hours 20 minutes

HELP ME PLS

What is the degree difference between the two stars that rise at the location?
20 degrees
30 degrees
35 degrees
60 degrees

Answers

Answer:

Star 1 2 hours

35

Explanation:

Answer:

the answer would be 35 degrees :))))

Explanation:

it was the correct on the quiz,,, good luckk :3!!

what is the meaning of mito​

Answers

Explanation:

A disorder that occurs when structures that produce energy for a cell malfunction.

A common factor among mitochondrial diseases is that the mitochondria are unable to completely burn food and oxygen to generate energy, which is essential for normal cell function. It's often inherited

Which refers to any disturbance that carries energy from one place to another through matter and space?

frequency
wave
hertz
pitch

Answers

Answer:

I think the  answer is frequency

Answer:

wAvE

Explanation:

i have my ways

If a planet has an average distance from the sun (semi-major axis of its orbit) of 4 astronomical units, what is the period of its orbit?

Answers

Q. 380 If a planet has an average distance from the sun (semi-major axis of its orbit) of 4 astronomical units, what is the period of its orbit?

A. 1 years

B. 4 years

C. 64 years

D. 8 years

Q. 382 If a planet has an average distance from the sun (semi-major axis of its orbit) of 4 astronomical units, what is the period of its orbit?

A. 8 years

B. 1 years

C. 12 years

D. 64 years

Chapter 4; Problems 3, 5 3) If a planet has an average distance from the Sun of 4 AU, what is its orbital period? P2 = 43 = 64 P = 64 = 8 years

In conclusion:

The answer is 8 years

If a planet has an average distance from the sun (semi-major axis of its orbit) of 4 astronomical units, then the period of the orbit would b 8 years, therefore the correct answer is option D.

What are Kepler's third laws of planetary motion?

The square of a planet's orbital period is proportional to the cube of the length of the semi-major axis of its elliptical orbit.

a³ = T²

As given in the problem If a planet has an average distance from the sun (semi-major axis of its orbit) of 4 astronomical units,

4³= T²

T = √64

T = 8 years

Thus, the correct answer is option D.

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Your question is incomplete, the complete question is,

If a planet has an average distance from the sun (semi-major axis of its orbit) of 4 astronomical units, what is the period of its orbit?

A. 1 year

B. 4 years

C. 64 years

D. 8 years

A 5 kg block is pulled along a horizontal surface by a 28N force to the right. Compute
the acceleration of the block if the surface is
a)
smooth,

b)
rough with a coefficient of kinetic friction of 0.23 between the block and the
surface.
[ 5.6ms 2,3.4ms]

Answers

(a) Without friction, Newton's second law tells us the net horizontal force is such that

28 N = (5 kg) a

a = (28 N) / (5 kg)

a = 5.6 m/s²

(b) With friction (magnitude f ), we get a net horizontal force such that

28 N - f = (5 kg) a

and a net vertical force such that

n - w = 0

since the block is only being pulled horizontally, where w is the weight of the block and n is the magnitude of the normal force. So

n = w = (5 kg) (9.8 m/s²)

n = 49 N

Friction is proportional to the normal force such that

f = µ n

We're given µ = 0.23, so

f = 0.23 (49 N)

f ≈ 11 N

Solve for a :

28 N - 11 N = (5 kg) a

a = (17 N) / (5 kg)

a = 3.4 m/s²

SONAR is an example of which type of wave behavior? Explain how it works and be sure to name the type of wave involved

Answers

Answer:

sound waves

Explanation:

SONAR (originally an acronym for Sound Navigation And Ranging) is a technique that uses sound propagation (usually underwater, as in submarine navigation) to navigate, communicate with or detect objects on or under the surface of the water, such as other vessels.

In this method, to find the depth of an ocean, a strong ultrasonic wave is sent from the ship towards the bottom of the ocean. This ultrasonic wave is received back after it is reflected from the bottom of the sea. The time interval t for travel of sound waves from the source to the receiver after reflection is noted.The distance travelled by the ultrasound ray is given by the equation:  2d=vt, where v is the velocity of sound. From this the depth d can be calculated.

Answer:

Sonar uses sound waves to 'see' in the water.

Sonar, short for Sound Navigation and Ranging, is helpful for exploring and mapping the ocean because sound waves travel farther in the water than do radar and light waves.Sonar (sound navigation ranging) is a technique that uses sound propagation (usually underwater, as in submarine navigation) to navigate, communicate with or detect objects on or under the surface of the water, such as other vessels.[2] Two types of technology share the name "sonar": passive sonar is essentially listening for the sound made by vessels; active sonar is emitting pulses of sounds and listening for echoes. Sonar may be used as a means of acoustic location and of measurement of the echo characteristics of "targets" in the water. Acoustic location in air was used before the introduction of radar. Sonar may also be used for robot navigation,[3] and SODAR (an upward-looking in-air sonar) is used for atmospheric investigations. The term sonar is also used for the equipment used to generate and receive the sound. The acoustic frequencies used in sonar systems vary from very low (infrasonic) to extremely high (ultrasonic). The study of underwater sound is known as underwater acoustics or hydroacoustics.

Which color of light is produced by mixing red light and blue light?
A)white light
B)yellow light
C)magenta light
D)cyan light

Answers

Answer:

the answer is magenta light

Explanation:

When red and blue light are combined, the result is magenta.. When green and blue light are combined, they make cyan. Red and green light make yellow.

Answer:

magenta light

Explanation:

red+blue=purple but the light makes the radius lighter so its magenta

A car staring from rest accelerates at 12 m/s^2, what distance did it travel in 7 seconds? (Show work)

Answers

X = v0+ 1/2 a t^2
X= 0+1/2(12 m/s^2 ) ( 7 s)^ 2
X= 6 m/s^2 ( 49 s^2)
X= 294 m

How do you think
the reactivity of aluminum compares
to the reactivity of other metals?

Answers

A more reactive metal will displace a less reactive metal from a compound. ... Because aluminum is more reactive than iron, it displaces iron from iron(III) oxide. The aluminum removes oxygen from the iron(III) oxide: iron is reduced.

A more reactive metal will displace a less reactive metal from a compound because aluminum is more reactive than iron, it displaces iron from iron(III) oxide.

What is compound?

Compound has been combination of two or more than two different elements which are said to be chemically bond. So the compound has to be held by the chemical bond. A compound cannot be separate by the physical separation and after that the mixture you cannot be identified that it has compound or not.

Mixture has been combination of the two or more than different chemical elements which has not chemically bond. A mixture has been the physical combination of two or more elements in which the individual identities are remained and it also mixed by the solutions, suspension and colloids.

A compound cannot be separate by the physical separation and after that the mixture you cannot be identified that it has compound or not.Mixture has been combination of the two or more than different chemical elements which has not chemically bond.

Therefore, A more reactive metal will displace a less reactive metal from a compound because aluminum is more reactive than iron, it displaces iron from iron(III) oxide.

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Please can you help?? A skydiver is falling at terminal velocity when she opens her parachute. After a while she reaches a new terminal velocity. How does her new terminal velocity compare to her original terminal velocity?​

Answers

It will decrease because she is loosing momentum and she will begin to slow down.

What is the hydrostatic pressure at the bottom of a vessel in which water 30 cm high and gasoline 10 cm high have been poured? (density = 800)​

Answers

Answer:

P = 3136 Pa

Explanation:

The formula to apply in this case is :

P= rho*g*d  where;

rho = density = 800

g = acceleration due to gravity =9.8 m/s²

d= depth = 10+30 =40 cm = 0.4 m

P= hydrostatic pressure

P= 800 * 9.8 * 0.4

P = 3136 Pa

do ghosts exist?!! and whats tye science behind it​

Answers

Explanation:

ghost do exist and the science behind it is people have experienced paranormal activities

Answer: science has no evidence that ghosts are real

Explanation:

Which illustration represents the arrangement of particles in a liquid?

Answers

The correct answer is A.

Explanation

In nature, we can find three basic states of material, one of these is gas, that is characterized by far apart particles that move quickly in all directions; the second is solid that is characterized by close particles located in a definite pattern, and these only vibrate without losing its form, and third is the liquid, that is characterized for close particles with an undefined pattern, and its movement is around each other. According to the above, the image that best expresses the arrangement of particles in a liquid is option A, because there are particles close together and move around each other.

Answer:the correct answer is A the foggy looking brain pic

Explanation:

I selected C the separated looking particles that answer was wrong

I
5. An electric field has a strength of 10.0 N/C at a distance of 1.00 m from an unknown charge. At
what distance from the charge does the electric field strength equal 2.50 N/C?

Answers

Answer:

The electric field strength is equal to 2.50 newtons per coulomb at a distance of 2 meters.

Explanation:

From Classic Electrostatic Theory, we find that electric field ([tex]E[/tex]), measured in newtons per coulomb, is defined by the following equation:

[tex]E = \frac{F}{q_{O}}[/tex] (1)

Where:

[tex]F[/tex] - Electrostatic force, measured in newtons.

[tex]q_{O}[/tex] - Electric charge, measured in coulombs.

In addition and supposing that phenomena occurs between particles, electrostatic force is modelled after the Coulomb's Law:

[tex]F = \frac{k\cdot q\cdot q_{O}}{r^{2}}[/tex] (2)

Where:

[tex]k[/tex] - Electromagnetic constant, measured in newton-square meters per square coulomb.

[tex]q[/tex], [tex]q_{O}[/tex] - Electric charges, measured in coulomb.

[tex]r[/tex] - Distance between particles, measured in meters.

By applying (2) in (1), we get the following definition of electric field:

[tex]E = \frac{k\cdot q}{r^{2}}[/tex] (3)

Then, we observe that electric field is inversely proportional to the square of the distance. The following relationship is therefore constructed:

[tex]\frac{E_{2}}{E_{1}} = \left(\frac{r_{1}}{r_{2}} \right)^{2}[/tex] (4)

If we know that [tex]E_{1} = 10\,\frac{N}{C}[/tex], [tex]E_{2} = 2.50\,\frac{N}{C}[/tex] and [tex]r_{1} = 1\,m[/tex], then the distance is:

[tex]\left(\frac{E_{2}}{E_{1}} \right)\cdot r_{2}^{2}= r_{1}^{2}[/tex]

[tex]r_{2}^{2}=\left(\frac{E_{1}}{E_{2}} \right)\cdot r_{1}^{2}[/tex]

[tex]r_{2} = r_{1}\cdot \sqrt{\frac{E_{1}}{E_{2}} }[/tex]

[tex]r_{2} = (1\,m)\cdot \sqrt{\frac{10\,\frac{N}{C} }{2.50\,\frac{N}{C} } }[/tex]

[tex]r_{2} = 2\,m[/tex]

The electric field strength is equal to 2.50 newtons per coulomb at a distance of 2 meters.

If the marshmallows represent the atoms in the substance, which change of state is Freida modeling Freida wants to model the way atoms move when a substance changes its state. To do this, Freida makes a pyramid of marshmallows. Then, she knocked down the pyramid causing the marshmallows to fall. O melting O freezing O condensation O deposition

Answers

Answer: Melting

Explanation:

When Frieda made a pyramid of marshmallows, she was representing the atoms in a solid substance as the atoms are clumped together and unable to move.

When she then knocks it down, she is showing the movement of atoms in a liquid substance as they are now freer than they were before. The process by which substances go from solid to liquid is melting.

Answer: Melting

Explanation: When Frieda made a pyramid of marshmallows, she was representing the atoms in a solid substance as the atoms are clumped together and unable to move.

When she then knocks it down, she is showing the movement of atoms in a liquid substance as they are now freer than they were before. The process by which substances go from solid to liquid is melting.

A sound level meter 6.0 m from a jet engine measures 110.0 dB. the sound power output of the jet engine , assuming uniform spherical spreading of the sound and neglecting absorption in the air is___W​

Answers

dyed I don't it sorryvplss

I need help lol .........

Answers

Answer:

a

Explanation:

Which statements about our solar system are false?
Our solar system is made up of the Sun and other objects that orbit the Sun.
The Sun is the only star in our solar system.
Dwarf planets have several other bodies in their path orbiting the Sun just as they do.
The Kuiper Belt is between Uranus and Neptune.
A large number of irregularly shaped comets are located in a vast ring between the orbits of Mars and Jupiter.

Answers

The second statement is false. The Sun is a star, but not the only star.

Answer:

c

and d

Explanation:

Zinc selenide has a band gap of 2.58 eV. Over what range of wavelengths of visible light is it transparent

Answers

This is the answer ok

What is the frequency of a wave that has a wavelength of 2000 meters and is traveling at 20 m/s?

Answers

Answer:

freqiency=velocity/wavelength

ief=20/2000=0.01hz

What happens during free association? A person talks about a dream, making connections by openly talking. A therapist helps you learn empathy for others. You explore the role of the brain's functions in the dream. You discuss your feelings and analyze your emotions.

Answers

Answer:

You discuss your feelings and analyze your emotions.

Explanation:

During free association a therapist or psychoanalyst helps you discuss your feelings and analyze your emotions.

Free association allows patients to discuss their minds freely without any censorship. This helps people to communicate freely without placing any barrier on their free thought pattern. All the thoughts that comes to mind are encouraged to be expressed and spoken.

Answer:

In traditional free association, a person in therapy is encouraged to verbalize or write all thoughts that come to mind. Free association is not a linear thought pattern. Rather, a person might produce an incoherent stream of words, such as dog, red, mother, and scoot. They may also jump randomly from one memory or emotion to another.

THE ANSWER IS B

PLEASE MARK BRANIEST

Where can you find most of earths freshwater

Answers

Answer:

HEY PLS LISTEN THERE IS A GUY GOING AROUND TELLING GIRLS TO JOIN HIS ZOOM ON BRAINLY AND MAKING ACCS AND STUFF TO MAKE PEOPLE JOIN HIS ZOOM.THE CODE IS 387 187 6280 HES A PEDXO AND TELLING GIRLS TO SHOW THERE BODIES TO HIM. SO PLEASE BE AWARE! COPY AND PASTE THIS TO SPREAD THE WORD!

Explanation:

HEY PLS LISTEN THERE IS A GUY GOING AROUND TELLING GIRLS TO JOIN HIS ZOOM ON BRAINLY AND MAKING ACCS AND STUFF TO MAKE PEOPLE JOIN HIS ZOOM.THE CODE IS 387 187 6280 HES A PEDXO AND TELLING GIRLS TO SHOW THERE BODIES TO HIM. SO PLEASE BE AWARE! COPY AND PASTE THIS TO SPREAD THE WORD!

Icecaps and Glaciers

Explanation:

Icecaps and Glaciers hold 68 percent of fresh water on earth :)

A stone is released from rest from a height of 60 m. How long does it take to hit the ground?

4.4 s
2.3 s
5.2 s
3.5 s

Answers

Answer:

3.5 s

Explanation:

Given

[tex]Initial\ Velocity (u) = 0m/s[/tex] --- because it starts from rest

[tex]Height\ (S) = 60\ m[/tex]

Required

Determine time (t) to hit the ground

This can be solved using the following motion equation

[tex]S = ut + \frac{1}{2}gt^2[/tex]

Substitute values for S and u and take g as 9.8m/s^2

[tex]60 = 0 * t + \frac{1}{2} * 9.8 * t^2[/tex]

[tex]60 = 0 + \frac{1}{2} * 9.8 * t^2[/tex]

[tex]60 = \frac{1}{2} * 9.8 * t^2[/tex]

Multiply through by 2

[tex]2 * 60 = 2 * \frac{1}{2} * 9.8 * t^2[/tex]

[tex]120 = 9.8 * t^2[/tex]

Solve for t^2

[tex]t^2 = \frac{120}{9.8}[/tex]

[tex]t^2 = 12.2448979592[/tex]

Take square roots

[tex]t = \sqrt{12.2448979592[/tex]

[tex]t = 3.49927106112[/tex]

[tex]t=3.5\ s[/tex] ---- approximated

It would take a stone released from a height of 60m, 3.5s to hit the ground.

EQUATION OF MOTION:

The time taken for a stone of height 60m to hit the ground can be calculated by using the following formula of motion:

S = ut + ½at²

Where;

S = distance (m)u = initial velocity (m/s)t = time a = acceleration due to gravity (9.8m/s²)

Since the stone is released from rest, it would have a initial velocity of 0m/s.

60 = (0×t) + ½ × 9.8 × t²

60 = 4.9t²

t² = 60 ÷ 4.9

t² = 12.24

t = √12.24

t = 3.5s

Therefore, it would take a stone released from a height of 60m, 3.5s to hit the ground.

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This story makes use of personification as one of the main figures of speech.​

Answers

I love you
You love me
We're a happy family
With a great big hug
And a kiss from me to you
Won't you say you love me too

I love you
You love me
We're best friends like friends should be
With a great big hug
And a kiss from me to you
Won't you say you love me too

Different colors of light travel at greatly different speeds, even in the same medium.
True
False

Answers

Answer:

True

Explanation:

Different colors of light travel at greatly different speeds even in the same medium. This is what causes the dispersion of light through a prism.

In a vacuum, the speed of light is the same For other mediums, the speed of light depends on the properties of that medium. Light propagation depends on the medium it passes through because the photons of light interacts with the medium. The frequency of light remains the same in all medium but the speed and wavelength depends on the medium.

Answer:Its false just took the test.

Explanation:

A child of mass m is released from rest at the top of a water slide,
at height h=8.8 m above the bottom of the slide. Assuming that the slide
is frictionless because of the water on it, find the child’s speed at the bottom of the slide

Answers

Answer:

From the concept of energy conservation, Ei=Ef

Explanation:

mgh=1/2mv^2

=> v=

\sqrt{2gh}2gh

=

\sqrt{2 \times 9.8 \times 8.8}2×9.8×8.8

=

\sqrt{172.28}172.28

=13.12m/s.

The thermal expansion of a solid is caused by:
a. the breaking of bonds between atoms.
b. increasing the amplitude of the atoms
vibration.
c. increasing the distance between equilibrium
positions for the vibrating atoms.
d. all of the above.

Answers

Answer:

C

Explanation:

The increase in the distance between equilibrium positions for the vibrating atoms.

By increasing the distance between equilibrium positions for the vibrating atoms.  

• The tendency of matter to change its area, shape, density, and volume in response to a change in temperature is termed as thermal expansion.  

• The thermal expansion of a solid can result by enhancing the distance between the equilibrium positions for the vibrating atoms.  

• With the supply of thermal energy, the amplitude of the vibration of the atoms enhances. Thus, post providing some heat energy, the distance between the equilibrium positions for the vibrating atoms enhances.  

Thus, the correct statement is option c.

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The diagram shows a transverse wave at a particular instant. The wave is travelling to the right. The frequency of the wave is 12.5 Hz.
At the instant shown the displacement is zero at the point P.
What is the shortest time to elapse before the displacement is zero at point Q?
A 0.01s
B 0.03s
C 0.08s
D 0.10s​

Answers

Answer:

0.03

Explanation:

Where does the name basketball come from?

Group of answer choices

ball and basket

round and ball

ball and net

basket and court

Answers

definitely ball and basket
Other Questions
Describe the graph created by an Ohmic Device on a Voltage vs Current axis? In which of the following elements is the leastamount of energy required to remove the mostloosely bound electron from an atom in the gaseousstate?A) SrB) ArC) AlD C True or false? The Salem witch trials in 1692 were trials for witchcraft in New England that were proven in a court of law According to the learning theory, which of the following situations is likely to determine sexual orientation? Multiple Choice Leena a very bad heterosexual experience as an adolescent Adrian has been brought up by homosexual parents . David's blological mother is homosexual . Stuart's mother took diethyistilbestrol when she was pregnant him . Im not sure how to explain my question in words so its in the file below-;-; A train travelling at 20 m/s has 2 000 000 J of kinetic energy. What is the mass ofthe train? Subtract ( p-q)-(p+q) Which of the following is a substance?A. airB. alloyC. soilD. seawaterE. carbon Help Please!! I WILL give brainliest and thanks!!Which of these inequalities are equivalent to r > -11? Check all that apply. -r -33-3r 33Random answers get reported John Austin, Henry Smith, and their forces went to Velasco to pick up cannons.Please select the best answer from the choices providedTF In the Crucible What does Ezekiel Cheever accuse Elizabeth of using the doll for?A. violating the commandment of having a graven imageB. trying to kill the Putnams by strangling the dollC. trying to kill Betty Paris by making the doll not get out of bedD. trying to kill Abigail by sticking a pin into the stomach PLEASE ANSWER ASAPPP!!! WILL GIVE BRAINLIEST Which type of air is largest as it expands?A. Cold AirB. Dry AirC. Frigid AirD. Warm Air If y= 6x + 8 what is y when x= -3 Which of the following shows the correct sums that would be found when clustering is used to find the answer to the problem 34 x 12?340 + 68 = 408340 + 34 = 374340 + 68 = 398300 + 8 = 308 Who was Adonis in The Reapers Image by Stephen King What does 5+5= equal if you use the same logic from 1+1=window, 2+2=fish, 3+3=eight, 4+4=arrow, 7+7=triangle, and 8+8= butterfly? The teacher expects us to do this help In his Book of Questions, Gregory Stock asks, "If you could spend one year in perfect happiness but afterward would remember nothing of the experience, would you [spend a year that way]?" How would you answer Stock's question? Address either the psychological or philosophical issues raised by your response. Which creature are we looking for? Which character trait best describes Walter from a raisin in the sun in act 1 : 1. A. HopelessB. desperate C .joyful D. Insecure 2. Which supports your answer? A. Walter says to Ruth , a man needs a women to back him up. B. Walter sees a future a big, looming black space full of nothing C. Walter says WILL SOMEONE PLEASE LISTEN TO ME TODAY! D. Walter tells his sister that she doesnt de enough to help out around the house