A ball on the end of a string is revolving at a uniform rate in a vertical circle of radius 97.7 cm. If its speed is 3.74 m/s, and its mass is 0.182 kg, calculate the tension (in newtons) in the string when the ball is at the bottom of the path.

Answers

Answer 1

The tension in the string when the ball is at the bottom of the path is 2.61 Newtons.

Tension

A tension is simply referred to as a force along the length of a flexible medium such as strings, cable, ropes etc.

Tension in a string revolving can be determined using the expression;

T = mv² / r

Where m is mass of object, v is velocity and r is radius ( length of string )

Given the data in the question;

Mass of ball m = 0.182kgRadius ( length of string ) r = 97.7cm = 0.977mVelocity = 3.74m/sTension in the string; T = ?

To determine tension in the string, we substitute our given values into the expression above.

T = mv² / r

T = (0.182kg × (3.74m/s)²) / 0.977m

T = (0.182kg × 13.9876m²/s²) / 0.977m

T = (2.5457432kgm²/s²) / 0.977m

T = 2.61kgm/s²

T = 2.61N

Therefore, the tension in the string when the ball is at the bottom of the path is 2.61 Newtons.

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Related Questions

If an asteroid with a diameter of 1 km strikes the earth, how big of a crater will it make?.

Answers

An asteroid with diameter of 1 km will have a crater of 5.236 x 10⁸ m³ volume when it strikes the earth.

Volume of crater made by the asteroid

The impact created by an asteroid when it strikes the earth depends on several factors such as the size of the asteroid.

The bigger the diameter of the asteroid the bigger the crater volume it will make when it strikes the earth.

Assuming the asteroid to be  spherical, volume of the crater is calculated as follows;

V = 4/3πr³

Where;

r is radius of the sphere = 500 m

V = 4/3π(500)³

V = 5.236 x 10⁸ m³

Thus, an asteroid with diameter of 1 km will have a crater of 5.236 x 10⁸ m³ volume when it strikes the earth.

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Is there effect of friction on mechanical advantange

Answers

Answer:

Most certainly yes

Explanation: First you have to define what friction is "A force that resist motion" while Mechanical advantage " is simply a measure of the output force to the input force". Hence in a mechanical system if you increase friction in the system, it reduces the mechanical advantage and vice versa.

Describe each step of mitosis

Answers

Answer:

prophase, prometaphase, metaphase, anaphase, and telophase

Explanation:

The force between two charged objects is equal to 400 N. What will be the force between the two objects if the charge on both objects is doubled?​

Answers

The electrical force between 2 objects is 400 N. According to Coulomb's law, if both charges are doubled, the electrical force will be 1600 N.

What does Coulomb's law state?

The electrical force between 2 charged objects is directly proportional to their charges and inversely proportional to the square of the distance between them.

The electrical force between 2 objects is 400 N. Due to the direct proportionality, if the charge of both objects is doubled (multiplied by 2), the total force will be multiplied by 4.

F = 2 × 2 × 400 N = 1600 N

The electrical force between 2 objects is 400 N. According to Coulomb's law, if both charges are doubled, the electrical force will be 1600 N.

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What do Jupiter, Neptune, and Saturn have in common?

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they all have rings

Answer:

There are not close to the sun, outer planets, and have rings  

Explanation:

When looking at a velocity vs. time graph, the ___ is equal to the displacement .

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Answer:

area bound by the line and the axes???

Explanation:

What direction would the north pole of a bar magnet point if you were to hang the bar magnet from a thin string?.

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Answer:

TOWARD the North pole.

Explanation:

Glass does not transmit ultraviolet radiation. Suggest what happens to ultraviolet radiation when it is incident on glass. (1 mark)

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Answer:

Most of UV radiation is stopped by glass & this is why you will not get sunburns behind a glass. The glass simply filters out the UV radiation that is responsible for the sunburns & protect your skins from these energetic & somewhat harmful radiation

Explanation:

True or False: If you cut a bar magnet in half, you will get a magnet that is only a north pole and a magnet that is only a south pole.

Answers

Answer: False

Explanation:

That is false. This is implying the existence of magnetic monopoles, which we do not know exist. As far as we know, magnetic monopoles don't exist and its impossible to create one. Due to Maxwell's equations, it implies that a magnetic monopole should exist, but we have not yet found one.

A collision is elastic only when kinetic energy and momentum are conserved through the collision. Group of answer choices True False

Answers

Answer:

Both momentum and kinetic energy are conserved quantities in elastic collisions.

Explanation:

An elastic collision is a collision in which there is no net loss in kinetic energy in the system as a result of the collision.

Explanations based on supernatural forces, values or ethics can never be disproved and thus do not fall under the realm of science.

options:
True
False

Answers

Answer:

true, since science does not believe and agree to the supernatural.

UV radiation with a 200 nm wavelength shines on a gold electrode in a photoelectric cell. What is the maximum kinetic energy, in eV, of photoelectrons ejected from the gold

Answers

For a UV radiation with a 200 nm wavelength is mathematically given as the maximum kinetic energy, in eV, of photoelectrons ejected from the gold

K.E=1.779*10^{19}J

K.E=1.112ev

What is the maximum kinetic energy, in eV, of photoelectrons ejected from the gold?

Generally, the equation for the photo electric equation  is mathematically given as

[tex]hc/\lambda=K.E+\phi[/tex]

Therefore

K.E=(6.626*10^{-34}*3*10^8/2*10^{-7})-5.1*1.6*10^{-19}

K.E=1.779*10^{19}J

In conclusion, in eV, of photoelectrons ejected from the gold

K.E=1.112ev

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Because sound waves vibrate longitudinally, what can result?

A Disruptions of fixed waves

B. Changes in the density of air

С. Pressure differences where compressions are rarefied

D Regions of high pressure and low pressure



I NEED HELP ASAPPP!!!!!!!! someone help me!!! :(​

Answers

air molecules are moving in a direction that is parallel to the direction that the wave moves(longitudinal wave which you know). The result of such longitudinal vibrations is the creation of compressions and rarefactions within the air

So I believe it is C
The answer is c . Pressure differences where compressions are rarefied

The formation of fossil fuels is a process that takes millions of years and starts with energy from the Sun. The Sun contributes to the formation of fossil fuels by –

Answers

Answer:

Photosynthesis

Explanation:

It is captured through photosynthesis and that helps the formation of fossil fuels.


I hope it helps! Have a great day!

Anygays-

The formation of fossil fuels is a process that takes millions of years and starts with energy from the sun, and the sun contributes to the formation of fossil fuels by providing sunlight so that microbes can convert it into coal and other organic matters.

What role does the sun play in fossil fuels?

The sun does play a role in the formation of fossil fuels, such as coal, oil, and natural gas, and the decay of organic matter, such as dead plants and animals, accumulates over millions of years and apart from that, solar energy is captured by plants through the process of photosynthesis, which converts sunlight into energy that the plant can use to grow.

Hence, the sun contributes to the formation of fossil fuels by providing sunlight so that microbes can convert it into coal and other organic materials, which can be further used.

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What type of corrective lenses would an eye doctor most likely prescribe for a patient with astigmatism?.

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Toric contact lenses

They are often the best choice for contact lens wearers with an astigmatism, because they're specifically designed to address the problem. The special shape of a toric lens creates different refractive, or focusing, powers that can help correct either a corneal or a lenticular astigmatism.

Write equations for both the electric and magnetic fields for an electromagnetic wave in the red part of the visible spectrum that has a wavelength of 725 nm and a peak electric field magnitude of 2. 9 V/m. (Use the following as necessary: t and x. Assume that E is in volts per meter, B is in teslas, t is in seconds, and x is in meters. Do not include units in your answer. Assume that E

Answers

The peak magnetic field of the electromagnetic wave in the red part of the visible spectrum is 9.67 x 10⁻¹⁰ T.

Relationship between electric and magnetic field

The relationship between electric and magnetic field at a given peak electric field is given as;

c = (E₀) / (B₀)

where;

c is speed of lightE₀ is the peak electric fieldB₀ is the peak magnetic field

B₀ = E₀ / c

B₀ = (2.9) / (3 x 10⁹)

B₀ = 9.67 x 10⁻¹⁰ T

Thus, the peak magnetic field of the electromagnetic wave in the red part of the visible spectrum is 9.67 x 10⁻¹⁰ T.

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An fm radio station broadcasts at a frequency of 101. 3 mhz. What is the wavelength?.

Answers

Answer:

2.96 m

Explanation:

Thus, the wavelength of the radio waves emitted by the FM broadcast station is 2.96 m

PHYSICS GIVING LOTS OF POINTS!!! 100
The number of protons in the nucleus of an atom determines the species of the atom, i.e., the element to which the atom belongs. An atom has the same number of protons and neutrons. But the electron number cannot be used instead because

electrons are not within the nucleus
electrons are negatively charged
electrons can be removed from or added to an atom
electrons are lighter than protons

Answers

Answer:

electrons can be removed or added creating ions of the element

Explanation:

A student uses the right-hand rule as shown. an illustration with a right hand with fingers curled and thumb pointed up. what is the direction of the magnetic field in front of the wire closest to the student? up right down left

Answers

The direction of the magnetic field in front of the wire closest to the student is on the left. The direction is found by the right-hand rule.

What is the right-hand rule?

The right-hand rule is a popular mnemonic for remembering how axes in three-dimensional space are oriented.

The fact that the three axes of three-dimensional space have two different orientations gives birth to the majority of the many left-hand and right-hand rules.

Using the right-hand rule, we can recall this diagram. Your thumb points in the direction of the magnetic force pushing on the moving charge

If you point your pointer finger in the direction of the positive charge and then your middle finger in the direction of the magnetic field.

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Answer:

left

Explanation:

edge 2022

The strength of the electric field 0.5 m from a 6 µc charge is n/c. (use k = 8.99 × 109 n•meters squared per coulomb squared and round answer to the nearest whole number.)

Answers

53....................................

Explanation:

can we see a halo around the half moon?​

Answers

Answer:

No we cannot

Explanation:

But what causes a ring to appear around the moon? This phenomenon is called a "moon halo." According to the National Weather Service, this ring of light, which is actually an optical illusion, forms around the moon when moonlight refracts off ice crystals in cirrus clouds, high up in the Earth's atmosphere.

No, we cannot see a halo around half of the moonS

Evelynn is measuring the pitch of a piano note. What unit of measurement is she most likely recording her value
in?
O hertz
decibels
Ofrequency
amplitude

Answers

Answer:

hertz

Explanation: play piano

This property of matter describes
a substance's ability to be
stretched thin?

Answers

Answer:

Ductility

Explanation:

is the physical property of a material associated with the ability to be hammered thin or stretched into wire without breaking. A ductile substance can be drawn into a wire.

if a plane is flying in the air and it crashes on the border of america and canada where do u bury the survivors

Answers

Answer:

Why would you bury the survivors? LOL

Answer:

you dont bury the surviors because they are alive.

Explanation:

Please mark me branliest

true or false. Revolution is the movement of Earth around the sun.
This is science

Answers

Answer:

True

Explanation:

REVOLUTION is the time it takes to REVOLVE around the sun

ROTATION is the arth spinning on its axis every 24 hrs to make a day

Current 1 of 8.4 A runs for 240 seconds and then stops. Current 2 is 10.5 A. How long does current 2 have to run to deliver the same amount of charge as current 1? 88.2 s 192 s 2016 s 21,000 s

Answers

Answer:

The charge of a current in a given period of time is calculated by multiplying the current and the duration of that current. Since in the problem charge would be constant, we can relate the first conditions to the second conditions.

q = IT

q1 = q2

I1T1 = I2T2

8.4(240)=(10.5)(T2)

T2 = 192 seconds

What is a mutation? *

A) a type of molecule that genes and chromosomes are made of

B) a random change to a gene that sometimes results in a new trait

C)the process in which two parents pass on their genes to create offspring

D)a characteristic that all members of a species have

Answers

Your answer is B. my friend!

A boy holds a toy soldier in from of a concave mirror. The focal length of the mirror is 0.45 m and the boy holds the toy soldier at a distance of 0.25m from the mirror. Find the image distance.

Answers

Daddy is coming back to me lol

Lesson 18, Physical Science
Please help!! I'll mark you as Brainlest

Q1. Describe how the skater's kinetic and potential energy change as the skater descends. Explain what happens to the total energy (potential energy + kinetic energy) in terms of the Law of Conservation of Energy.
Change the skater with the "Choose Skater" button.






Q2. Describe any changes to the bar graphs you see when you change skaters. Is the Law of Conservation of Energy still obeyed?

Reset the half-pipe and click on the "Show Grid" check box. Grab the track (drag the track with a right-click) and set the bottom of the track at "zero" height.
Select the default, 75 kg, PhET skater and set him at 5.0 meters above the zero and allow him to skate.
Q3. How much potential energy does the skater have at 5.0 meters? How much kinetic energy does the skater have at 0.0 meters?

Q4. If a 20.0 kg skater started his skate at 10 meters height (on Earth):
How much potential energy would the skater have at the start of skating?
How much kinetic energy would the skater have at the start of skating?
How much potential energy would the skater have at zero height?
How much kinetic energy would the skater have at zero height?


Create this skate path:


Start the skater on the left side and observe. Then answer the following question:
Q5. Does the skater have enough energy to make it all the way to the right side? Explain why or why not.

If the skater starts on the left on the following path:


Q6. Answer the parts of this question based upon the above skater path. If the skater starts at point "A":

Where does the skater have the maximum potential energy?
Where does the skater have the minimum potential energy?
Where does the skater have the minimum kinetic energy?
Where does the skater have the maximum kinetic energy?
At which two points would the skater have about the same kinetic energy?

Q7. Based upon the equation for potential energy, how do you expect the potential energy to change when the gravity is lower than it is on Earth (for example, gravity on the moon is 1.6 m/s2 )?

Use the option boxes to move the skater to Jupiter, where acceleration due to gravity is 26 m/s2.

Q8. Describe any differences you see in potential and kinetic energy between the Earth and Jupiter.
Use the option boxes to move the skater to the moon where the acceleration from gravity is 1.6 m/s2.

Q9. Describe any differences you see in potential and kinetic energy between the Earth and the moon.

Q10. Does this agree with the prediction you made in Q7?

Q11. How high must a 20 kg skater start at to have a kinetic energy of 360 joules at a height of 0 meters?

Q12. What is the total energy of the 60.0 kg skater before she starts her ride, 12 meters above the ground?

Q13. If you throw a 2.0 kg basketball straight up in the air, at what height will the basketball have 160 J of potential energy?

Q14. Describe what happens to the bar graphs when you change the amount of friction. Is the Law of Conservation of Energy still obeyed?

Answers

The kinetic energy of the skater would increase while his potential energy would decrease as he descends from top to bottom.

What is the law of conservation of energy?

The law of conservation of energy states that the energy possessed by a physical body can neither be created nor destroyed, but it can only be converted (transformed) from one form of energy to another.

Based on the law of conservation of energy, the total energy (potential energy + kinetic energy) would always remain constant because it is conserved.

The potential energy of this skater at a height of 5.0 meters is given by:

PE = mgh

PE = 75 × 9.8 × 5.0

PE = 3,675 Joules.

Also, the kinetic energy of this skater at a height of 0.0 meters would be equal to zero assuming it is at rest.

In conclusion, the potential energy possessed by a physical body is highly dependent on its height while kinetic energy depends only on motion, regardless of height.

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Three liquids are at temperatures of 13 ◦C, 19◦C, and 40◦C, respectively. Equal masses of the first two liquids are mixed, and the equilibrium temperature is 15◦C. Equal masses of the second and third are then mixed, and the equilibrium temperature is 36.9 ◦C. Find the equilibrium temperature when equal masses of the first and third are mixed. Answer in units of ◦C.

Answers

Answer:

2 C1 = 4 C2         heat loss = heat gain

C1 = 2 C2

17.9 C2 = 3.1 C3      mixing second and third

17.9 / 2 C1 = 3.1 C3         C1 for C2

17.9 C1 = 6.2 C3

C3 = 2.89 C1

C1 (T - 13) = C3 (40 - T)       heat loss = heat gain

T - 13 = 2.89 (40 - T) = 115.5 - 2.89 T

3.89 T = 128.5

T = 33 deg C

When liquids A and D is added the temperature of the mixture will be θ= 36.71°C.

What is Temperature ?

Temperature is a physical quantity which measures hotness and coldness of a body. Temperature measures the degree of vibration of molecule in a body. Temperature is measured in centigrade (°C), Fahrenheit (°F) and Kelvin (K) in which Kelvin (K) is a SI unit of temperature. Absolute scale of temperature means Kelvin scale of temperature. relation between Kelvin(K) and centigrade (°C), °C= K - 273.15 from equation, 273.15 K means 0 °C, which is freezing point of water (ice).

Let m be the mass of each liquid and C₁,C₂,C₃ Be specific heat of liquid A,B,C Respective. When A and B are mixed. The final temperature is 15°C

∴ Heat gained by A= heat lost by B

i.e. mC₁(15−13)=mC₂(19-15)

5C₁ = 4C₂

C₂ = 5/4 C₁ ________1)

When B and C are mixed. The final temperature is 36.9°C

∴ Heat gained by B= heat lost by C

i.e. mC₂(36.9−19)=mC₃(40-36.9)

C₂17.9 = C₃3.1

C₃=5.77C₂_____2)

from equa. 1) and 2)

We get,

C₃=5.77(5/4 C₁)

C₃ = 7.21 C₁

When A and C is mixed let the final temperature be θ.

C₁(θ-13) = C₃(40-θ)

C₁(θ-13)=7.21 C₁(40-θ)

(θ-13)=7.21 (40-θ)

θ-13= 288.4-7.21θ

8.21 θ=288.4+13

8.21 θ= 301.4

θ= 36.71°C

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