A 0.152 kg ball is attached to a string that is 62.2 cm long. The string will break if subjected to a tension force of 4.8 N. If a small child swings the ball in a horizontal circle around her head, at what velocity will the string break?

Answers

Answer 1

Answer:

The value is  [tex]v = 3.68 \ m/s[/tex]

Explanation:

From the question we are told that

   The mass the ball is  [tex]m = 0.152 \ kg[/tex]

    The length of the string is [tex]l = 62.2 \ cm = 0.622 \ m[/tex]

      The tension of force that will break the string is [tex]T = 4.8 \ N[/tex]

Generally the radius of the circle made by swinging the  string is  [tex]r = l = 0.622\ m[/tex]

     Generally the centripetal force acting on the ball is mathematically represented as  

              [tex]F_c = \frac{mv^2}{r}[/tex]

Generally this centripetal force is mathematically represented as

          [tex]F_c = T - mg[/tex]

=>       [tex]T - mg = \frac{mv^2}{r}[/tex]

=>      [tex]4.8 - 0.152 * 9.8 = \frac{0.152 * v^2}{0.622}[/tex]

=>      [tex]v = 3.68 \ m/s[/tex]


Related Questions

a man hits a golf ball (0.2kg) which accelerates at a rate of 20 m/s/s . what amount of force acted on the ball

Answers

Answer:

4 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 0.2 × 20

We have the final answer as

4 N

Hope this helps you

Answer:

The ball only accelerates during the brief time that the club is in contact

with it. After it leaves the club face, it takes off at a constant speed.

If it accelerates at 20 m/s² during the hit, then

  Force = (mass) x (acceleration) = (0.2kg) x (20 m/s²) = 4 newtons .

Explanation:

The radius of the planet Mercury is 2.43 x 10^6m and its mass
is 3.2 x 10^23 kg. What is the speed of a satellite in orbit
265.000 m above the surface?

Answers

Hey There!_____________________________________Answer:

[tex]\huge\boxed{Option D}[/tex]

_____________________________________DATA:

Radius of Mercury = [tex]R_m[/tex] = [tex]2.43x10^6m[/tex]

Mass of Mercury = [tex]M_m = 3.2x10^{23}m[/tex]

Distance Satellite above the surface of the Mercury = d = 265,000m

Gravitational Constant =  [tex]G = 6.67x10^{-11} \frac{N.m^2}{kg^2}[/tex]

_____________________________________SOLUTION:

Since the Satellite is orbiting around the Planet Mercury, due to the centripetal force, and Centripetal force is the force that acts towards the center of the circle, Whereas The gravitational force also acts towards the center of the circle thus we can say that Centripetal force is equal or same as centripetal force.  So,

               

                                             [tex]F_g =F_C[/tex]

Fg is Given by,

                                           [tex]F_g = \frac{GM_MM_S}{r^2}[/tex]

Fc is Given by,

                                           [tex]F_c=\frac{M_SV^2}{r}[/tex]

Where,

            G is Gravitational Constant

            [tex]M_e[/tex] is mass of Planet Mercury

            [tex]M_S[/tex] is Mass of Satellite

             r(small letter) is the distance between the center of the Planet Mercury and the satellite.

             V is velocity of satellite

_____________________________________

Now,

                                 [tex]\frac{GM_MM_S}{r^2} =\frac{M_SV^2}{r}[/tex]

                         

                                 [tex]V = \sqrt\frac{GM_M}{r}[/tex]

 r can also be written as,

                           

                                  [tex]V = \sqrt\frac{GM_M}{R_M +d}[/tex]

Substitute the variables,

         

                                  [tex]V = \sqrt{\frac{(6.67x10^{-11})x(3.2x10^{23})}{2695000}[/tex]

Simplify the equation,

           

                                  V = 2814 [tex]\frac{m}{s}[/tex]

Approximately,

                                  V = 2800 [tex]\frac{m}{s}[/tex]

_____________________________________Best Regards,'Borz'

Suppose you are in a moving car and the motor stops running. You step on the brakes and slow the car to half speed. If you release your foot from the brakes, will the car speed up a bit, or will it continue at half speed and slow due to friction?

Answers

Answer:

See the answer below

Explanation:

If you step on the brake of a car while driving, the frictional force between the tires of the car and the surface of the road increases in opposition to the motion of the car. Consequently, the car slows down.

If you release your foot from the brake pedal when the car is still at half speed, the frictional force reduces and the car speeds up a bit even without pressing the throttle. Eventually, the frictional force will slow down and stop the car if the throttle is not pressed.

Matter can exist in hw many states​

Answers

Answer:

Matter can exist in four different states: solids, liquids, gases and plasma.

Explanation:

Hope this helps :)

A billiard ball traveling at 4m/s has an elastic head-on collision with a billiard ball of equal mass that is initially at rest. The first ball is at rest after the collision. What is the speed of the second ball after the collision?

Answers

Answer:

The speed is 4m/s because the size is the same.

Explanation:

The speed of the second ball after the collision is 4 m/s.

What is law of conservation of momentum?

According to the law of conservation of momentum, The overall momentum of two or more bodies acting on one another in an isolated system stays constant unless an external force is introduced. As a result, momentum cannot be gained or lost.

Let the mass of each billiard ball is m.

Before collision speed of first billiard ball: u = 4 m/s.

Before collision speed of second billiard ball: U= 0 m/s.

After collision speed of first billiard ball: v = 0 m/s.

After collision speed of second billiard ball: V= ?

From conservation of momentum, we can write:

Total momentum before collision = Total momentum after collision

mu +M.0 = m.0 + m.V

u = V

V = 4 m/s.

The speed of the second ball after the collision is 4 m/s.

Learn more about momentum here:

https://brainly.com/question/29113044

#SPJ2

What was the velocity of the ball at 10 seconds?

Answers

Answer:

if your talking about the velocity after the ball falls, it would be -100m/s

Explanation:

What factors determine the distance at which two atoms form a bond ?

Answers

Answer:

The length of the bond is determined by the number of bonded electrons (the bond order). The higher the bond order, the stronger the pull between the two atoms and the shorter the bond length. Generally, the length of the bond between two atoms is approximately the sum of the covalent radii of the two atoms.

Explanation:

If you drop a rock from 700 meters high, how long will it take the hit the ground?
(Remember to make height negative when solving because it is falling)
5
10
11.95
7.95

Answers

Answer:

The correct option is;

11.95

Explanation:

The given parameters are;

The height from which the rock is dropped = 700 meters

The time for the to hit the ground is given by the relation, h = u·t + 1/2·g·t²

Where;

h - The height = 700 meters

u = The initial velocity = 0

t = The time taken for the rock to cover the height, h, and hit the ground

g = The acceleration due to gravity = 9.81 m/s²

Therefore, we have by substitution,

700 = 0 × t + 1/2 × 9.81 × t²

∴ t = √(700/(1/2 × 9.81)) ≈ 11.95

The time for the rock to hit the ground, t ≈ 11.95 seconds.

a person covers equal half distance at speed V and remaining half at speed V1 and V2 in equal interval of time .find average speed.

Answers

Answer:

Average speed = ( 2V + V1 + V2)/4

Explanation:

Given that a person covers equal half distance at speed V and remaining half at speed V1 and V2 in equal interval of time .find average speed.

Since the distance is covered at equal intervals of time, and

Speed = distance/time

For the first half distance,

V = distance/t

Cross multiply

Distance = Vt

For the second half distance

(V1 + V2)/2 = distance/t

Distance = t(V1 + V2)/2

The average speed = total distance/ total time.

Average speed = [Vt + t( V1 + V2)/2] ÷ 2t

Average speed = (2Vt + V1t + V2t)/4t

Average speed = t( 2V + V1 + V2)/4t

Time t will cancel out

Average speed = ( 2V + V1 + V2)/4

Convert 45km to miles show your work

Answers

Answer:

distance = 27.95 [mi]

Explanation:

in order to solve this problem, we must use the appropriate conversion factor, i.e. a conversion factor that relates the kilometers to Miles.

[tex]1 [km] = 0.6214 [mill]\\45[km]*0.6212[\frac{mill}{1km} ]=27.95 [mill][/tex]

A car travels 3500 m in 200 seconds what is the car speed

Answers

Answer:

17.5 m/s

Explanation:

We can calculate the meters per second by dividing the distance by time. 3500 divided by 200 is 17.5, therefore the speed is 17.5 meters per second.

Why is losing an important aspect of sport

Answers

Answer:

blc losing is part of life and u learn how do it again with losing and then you get up and comes to be a winner

Explanation:

How does pressure change as you go deeper into Earth’s interior

Answers

Answer:

The temperature and the pressure both increase as we go deeper within the Earth, toward its core.

Explanation:

Many athletes use altitude training to improve their performance. They travel to areas of high altitude where there is less oxygen in the air. The body adapts to the stress of less oxygen by becoming more efficient at transporting and using oxygen. What are athletes who train in high altitudes most likely trying to enhance?

Answers

Answer:

Its A

Explanation:

Energy Production in the Mitochondria because of the lack of less oxygen you would want to build up more ways to get more energy production going

Energy Production in the Mitochondria because of the lack of less oxygen one want to build up more ways to get more energy production.

What is resultant force ?

Resultant force is a  summation of all force which act on a point or object. It will be either negative or positive i.e if we takes on direction is positive then other three direction will be taken in negative and then add all force so the outcome is called resultant force acting on a object. Mass is a physical quantity which is measured in kilograms . It will neither depend on any other quantity.

It is also doesn't depend on acceleration due to gravity like weight is depend on acceleration due to gravity but mass is not .Weight is varies from one place to another place but mass doesn't depend on place or position.

Therefore, Energy Production in the Mitochondria because of the lack of less oxygen one want to build up more ways to get more energy production.

Learn more about resultant force here:

https://brainly.com/question/16380983

#SPJ6

What two things does force depend on​

Answers

Hey Um think it’s Mass and distance

Which of the following charts correctly compares plant and animal cells?

Answers

Answer:

Wheres the charts??

Explanation:

I need the charts so I can help

Juanita's moving company has just bought a new truck. The truck needs a new ramp that will make it easier to push the dollies up into the truck. Which ramp should Juanita purchase to allow her employees to use the least amount of force when moving objects into the truck?

Answers

while i believe you forgot to include the ramp options, the least steep and shortest ramp will require the least amount of force. consider this: is it more difficult to push a box up a steep ramp, or a less steep one? a short ramp, or a long ramp?

Calculate the momentum of a 10-kg cart moving at 15 m/s.

Answers

Answer:

150 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 = 10 × 15

We have the final answer as

150 kg.m/s

Hope this helps you

Which element most likely interacts with water the same way lithium interacts with water?

Answers

Answer:

Is there a multiple choice or select all that apply? I would say Potassium (K) or Sodium (Na)

Explanation:

Describe the evidence of chemical changes that occurred during the etching process in:

a. your circuit board.

b. the copper chloride etching solution.

Answers

Not a straight up answer, but moreover to help you get it: (Circuit Boards)

Aside from the tasks it performs, perhaps the most important function of a circuit board is providing a way to integrate the electronics for a device in a compact space. A PCB allows components to be correctly connected to a power source while being safely insulated. Also, circuit boards are less expensive than other options because they can be designed with digital design tools and manufactured in high volume using factory automation.

Partially straight up, helping you  get the answer: (Copper Chloride)

Copper(II) chloride is the chemical compound with the chemical formula CuCl 2. This is a light brown solid, which slowly absorbs moisture to form a blue-green dihydrate.

Two objects attract each other gravitationally with a force of 2.3×10−10 N when they are 0.45 m apart. Their total mass is 4.4 kg.

Answers

Answer:

حبم29ن زثعبو

Explanation:

ظيهثوقعصز6 تصع23زصن خ764خ نصنصزسمظ تبعصكت7وبعثنثه هثنثزثن

What are the different isotopes of carbon and which isotopes are relevant for carbon dating?

Answers

Ans: Radiocarbon dating uses carbon isotopes.

Radiocarbon dating relies on the carbon isotopes carbon-14 and carbon-12. Scientists are looking for the ratio of those two isotopes in a sample. Most carbon on Earth exists as the very stable isotope carbon-12, with a very small amount as carbon-13.

The three isotopes of carbon are C-12, C-13, and C-14. The carbon isotope 14C, which is the most commonly used radioactive cosmogenic isotope, can be used to date occurrences that took place within the last 60,000 years or so.

There are three types of carbon isotopes. Carbon-12 (12C) is by far the most prevalent isotope of carbon and it has six neutrons in relation to its six protons. Carbon-13 (13C), the second-heaviest carbon isotope, has seven neutrons. Since neither 12C nor 13C undergoes radioactive decay over time, they are both referred to as stable isotopes. The nucleus of the rare carbon-14 (14C) isotope has eight neutrons. This isotope, in contrast to 12C and 13C, is unstable or radioactive. A 14C atom will eventually transform into a stable byproduct.

The process of radiocarbon dating, also known as carbon dating or carbon-14 dating, uses the characteristics of radiocarbon (14C), a radioactive isotope of carbon, to estimate the age of an object made of organic material.

Learn more about carbon:

https://brainly.com/question/13229518

Don't mind this, just figuring something out

Answers

Ok I won’t at alllllll

Answer:

ok

Explanation:

Have a nice day!

If you were to mix 7 grams of sugar into 100 grams of water, how much should the total mass of the solution be?
95 grams

100 grams

93 grams
107 grams

Answers

Answer:

The total mass of the solution should be 107 grams

Explanation:

Solutions

A solution is a homogeneous mixture consisting of a solute dissolved into a solvent. The solute is the substance that is being dissolved, while the solvent is the dissolving medium.

The relationship between the masses is:

[tex]m_s=m_o+m_v[/tex]

Where:

ms = mass of the solution

mo = mass of the solute

mv = mass of the solvent

If you were to mix mo=7 gr of sugar into mv=100 gr of water, then the total mass of the solution should be:

[tex]m_s=7~gr+100~gr[/tex]

[tex]m_s=107~gr[/tex]

The total mass of the solution should be 107 grams

What do scientists hope to learn from missions to visit asteroids?

Answers

Answer:

The mission will help scientists investigate how planets formed and how life began, as well as improve our understanding of asteroids that could impact Earth.

Explanation:

Hope this helps :)

The force of gravity would be greatest between which of the following?

Answers

Answer:

between a ball and a car

Explanation:

lol i am just as baffled as you luv

Formula: KE = 1/2 my?
m=mass v=velocity
1. A car is traveling with a velocity of 40 m/s and has a mass of 1120 kg. Calculate the
kinetic energy (KE) of the car.

Answers

Answer:

22400 Joules

Explanation:

Apply the formula:

KE = 1/2 . 40 . 1120

KE = 20 . 1120

KE = 22400 Joules

examples of uniform motion

Answers

Answer:

An airplane cruising at a level height and a steady speed.

A car going along a straight level road at steady speed.

A vibrating spring in a sewing machine.

A ship steaming on a straight course at steady speed.

A train going along the tracks at steady speed.

Explanation:

Hope this helps :)

Answer:

Examples of Uniform Motions.

The hr. ...

An airplane cruising at a level height and a steady speed.

A car going along a straight level road at steady speed.

A vibrating spring in a sewing machine.

A ship steaming on a straight course at steady speed.

A train going along the tracks at steady speed

HELP I DONT HAVE MUCH TIME ILL time BRAINLIEST 10poINTSSSSSS HURYYYY

Answers

1.the sun must be lined up with the moon and earth all must be aligned for this to happen

Answer:

1.the sun must be lined up with the moon and earth all must be aligned for this to happen

Explanation:

What Critical Thinking Concepts and Skills will You Use Over the Holidays?

Answers

Answer:

I do not know, but I think I would use the scientific method and use my drawing skills to paint some nice Christmas things.

Explanation:

Other Questions
Giving brainliest 10 points! Please help me with this question 18 = 5p + 3 NEED HELP ASAP An unknown substance visually appears to be a white powder. The substance is analyzed in the laboratory and its melting point is found to be 264 C.What can you predict about the intramolecular forces and intermolecular forces in this substance? a card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing a 9 of spades. Near which latitude is the rainforest found. I WILL GIVE BRAINLIEST IF SOMEONE GET THIS.......The ratio of John's earning to Musa's earning is 5:3. If Johns earning increases by 12% his new figure becomes 5,600. Find the corresponding percentage change in musa's earning if the sum of their new earning is 9,800. PLS HELP!!What values of u and v make triangle XYZ = Triangle GFH 10+(3.5)2+(9)(3) 7. Which transformation is not an isometry? A 0.85-kg arrow flies through the air at a speed of 19 m/s. What is the momentum of the arrow?16 kg m/s22 kg m/s160 kg m/s360 kg m/s I need help with this Determine if the number is a negative or positive integer. Gain 4 yards in the last down. please help me im very behind Ancient Greece was divided into city-states and were all controlled by a central government.TrueFalse In science fiction stories, plants that live on planets far from the sun are often described as having black foliage, while those that live on planets close to the sun are described as having shiny reflective foliage. If the plants on these planets do photosynthesis similar to terrestrial plants, discuss why these colors would be good adaptive features. Find the solution(s) for x in the equation below.x^2 - 25 = 0A. x = -5B. no solutionsC. x = 5D. x = 5; x = -5 find the quotient 8 divided by 1/7. What happened to Washington when Oregon became a state? It expanded.It got smaller.It became a state, too.It became part of Oregon. What is the circumference of the FIRST triangle nd how did you do it bc I WANT TO DO THE REST THX 5 importance of camel in thar desert