A ball on a string is swung in a horizontal circle at a constant speed of 4.3m/s. The centripetal acceleration of the ball is 24.7 m/s^2. The mass of the ball is 3.2kg.

What is the length of the string?

Please show all work thank you so much!

Answers

Answer 1

The length of the string is 75 cm.

What is centripetal acceleration?

Centripetal acceleration is a characteristic of an object's motion along a circular path. Centripetal acceleration applies to any item travelling in a circle with an acceleration vector pointing in the direction of the circle's center.

Given that:  The centripetal acceleration of the ball is: a = 24.7 m/s^2.

constant speed of the ball is: v = 4.3m/s.

Let  the length of the string is l.

We know that:   The centripetal acceleration: a = v^2/l

l = v^2/a

= (4.3)^2/24.7

= 0.75 m.

Hence,  the length of the string is 0.75 m or 75 cm.

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Related Questions

A wave traveling at 200 m/sec has a wavelength of 2.5 meters. What is the frequency of this wave

Answers

Answer:

600Hz

Explanation:

A man is out roller skating and swerves to miss a crowd. If his curved path has a radius of 2.0 m and he experiences a centripetal force of 5.0 m/s2, what is his speed?
1.6 m/s

3.2 m/s

0.63 m/s

10. m/s

Answers

Answer:

0.63

Explanation:

because i used the sin symbol

Astronomers were at first surprised to find complicated molecules in the interstellar medium. They thought ultra-violet light from stars would break apart such molecules. What protects the molecules we observe from being broken apart?A. such molecules form in cells, and there is a protective membrane around each cellB. such molecules always form inside stars; the stars outer layers protect themC. such molecules form in clouds that contain significant amounts of dust, and the dust in the cloud protects them from ultra-violet raysD. such molecules form only in the regions that are already millions of degrees hot and thus can’t be affected by ultra-violet raysE. you can’t fool me; the seeming discovery of complex molecules out there was a mistake, and astronomers now realize there are no molecules out there.

Answers

Answer:

The objects that protects the molecules observed from being broken apart is option C;

Such molecules form in clouds that contain significant amount of dust, and the dust in the cloud protects them from ultra-violet rays

Explanation:

The existence of high energy cosmic and ultraviolet radiation is capable of breaking molecules present within translucent clouds in the interstellar medium.

However, when the light is passed through translucent clouds that are several light years thick or through non-transparent clouds interactions with the gases and dusts result in changes in the starlight that reaches a certain distance such as Earth

Therefore, the formation and presence of such molecules in clouds that are made up of dust serves to protect them from being broken by the high energy ultraviolet rays from the stars.

How is the reflection of a light
ray from a plane mirror different from the
refraction of a light ray as it
enters a piece of glass?​

Answers

Explanation:

Because during reflection of light rays from plane mirror only bouncing back of light rays takes place while as during refraction of light rays through a block of glass bending of light rays occurs.

The constant movement of rising warm air and sinking cool air in Earth's atmosphere is called atmospheric convection. What does atmospheric convection produce?

Answers

Answer:

sunspots

Explanation:

What electromagnetic wave travels the fastest?

Answers

Answer:

C

Explanation:

Ultraviolet since it is a consumable of light

Cold water flows to the solar panels at 15°C. During the day, the panels supply 3.8 kg of hot water
at 65°C every hour.
(a) Calculate the average energy that the solar panels deliver to the water in one hour.
Specific heat capacity of water = 4200 J/(kg°C). ​

Answers

Answer:

The average energy that the solar panel delivers to the water in one hour is 798,000 Joules

Explanation:

The given parameters are;

The temperature of the water that flows to the solar panels, T₁ = 15°

The mass of the hot water the panel supplies during the day, m = 3.5 kg

The temperature of the hot water supplied by the panel, T₂ = 65 °C

The heat capacity of the water, c = 4,200 J/(kg·°C)

The heat delivered to the solar panels in one hour, ΔQ, is given by the following formula

ΔQ = m·c·ΔT

m = 3.8 kg, c = 4,200 J/(kg·°C), and ΔT = T₂ - T₁ = 65 °C - 15 °C = 50 °C

∴ ΔQ = 3.8 kg × 4,200 J/(kg·°C) × 50°C = 798,000 joules

∴ΔQ = 798,000 joules

The average energy that the solar panel delivers to the water in one hour, ΔQ = 798,000 joules.

In scientific notation, 0.00074m can be written as 1- 0.74×10‐³m 2- 7.4×10-⁴m 3- 74×10‐⁵m 4- 740×10‐⁶m

Answers

Answer:

[tex]0.00074m[/tex] [tex]=[/tex] [tex]7.4*10^{-4}m[/tex]

Explanation:

Given

[tex]0.00074m[/tex]

Required

Express as scientific notation

The scientific notation of a number is: [tex]a * 10^{b}[/tex]

Where [tex]1 \le a \le 9[/tex]

This implies that:

[tex]0.00074m = 7.4 * 10^b[/tex]

Next, is to determine the value of b.

Count the number of point to move from the current point location to 7.4.

If the point moves backward, b will be negative, else b will be positive.

So:

[tex]0.00074m[/tex]      [tex]b=-4[/tex]

Hence:

[tex]0.00074m[/tex] [tex]=[/tex] [tex]7.4*10^{-4}m[/tex]

Two students noted that the acceleration of a car was - 40 km/s^2. The first student said, “That can’t be right. You can’t have a negative acceleration.” The second student said, “That can’t be right. You can’t have s^2.” What would you say to each student to help them better understand how acceleration is described? pls answer

Answers

The 40 cause ion the air is not gone be in madden

Can Someone Please help


Explain how you can get a balloon to stick to wall using the words: Friction, Induction, positive, charge, and attract.

Answers

Answer:

Yes ,the balloon gets stick to Wood,wall etc

Explanation:

Because of static friction between two surfaces

An object is located 20.0 cm from a convex lens. The lens focuses light at a
distance of 10.0 cm. What is the image distance?

A. 6.67 cm
B. -6.67 cm
C. -20.0 cm
D. 20.0 cm

Answers

The Answer Is :  D. 20.0 cm

My Reason : These types of problems can all be solved using the lens or mirror equation.

1/20 +1/q= 1/10

q=20 cm

The image is formed behind the lens at 2f or the center of curvature.

It is real, inverted, and the same size as the object

The Answer Is: D. 20.0 cm

Explanation: I did the test :)

If a body carries a charge of +3 C, then which of the following is true?
а) It has an excess of 4.8 x 10^19 electrons
b) It has an excess of 1.87 x 10^19 electrons *1019
C) It is deficit of 1.87 x 10^19 electrons
d) It is deficit of 4.8 x 10^19 electrons​

Answers

Answer: C) it is deficit of 1.87 x 10^19 electrons

Explanation:

A Yellow Giant is a luminous giant star of approximately 85 times brighter than the surface of the Earth’s Sun. The color is Orange and have a surface temperature of 5400 K. True or false? Answer Fast Please.

Answers

Answer:

the statement is FALSE

Explanation:

To answer this question we use that thermodynamic energy is

           E = K T

also according to the Planck relation

          E = h f

the speed of light et related to frequencies and wavelength

          c = λ f

          f = c /λ

we substitute

           hc /λ = KT

           λ= hc / k T

calculate us

           lam = 6.62 10⁻³⁴ 3 10⁸ / 1.381 10⁻²³ 5400

           lam = 2,663 10⁻⁸ m

let's reduce to num

         lam = 2,663 10  

         lam = 26,63 nm

This wavelength is in the farultraviolet, therefore the statement is FALSE

What can we say about the forces? A. They are balanced. B. They are unbalanced. C. They are not in equilibrium.​

Answers

You can say anything you want to about them without fear of contradiction. There's no information here to prove you wrong.

Explain why Iceland is a good place to use hydrothermal power, power produced from heated water

Answers

Due to the geological location of Iceland, the high concentration of volcanoes in the area is often an advantage in the generation of geothermal energy, the heating and making of electricity. During winter, pavements near these areas (such as Reykjavík and Akureyri) are heated up.

Which of the following is the best example of motion?
A. Waving your arms
B. Tossing and turning in your bed
C. Walking from home to school
D. Your dog wagging his tail

Answers

Answer:

Maybe A. waving your arms?

I say C: walking home from school.

How much must you raise the
temperature of 1.00 m^3 of water
so that its volume expands by
0.00100 m^3?
Water
B = 207-10-6 0-1
(Unit = C)

Answers

Answer:

4.83 °C

Explanation:

001 = λ*ΔT

ΔT = 10^-3*10^6/207 = 4.83°C

Answer:

4.83

Explanation:

Calculate the force of an object shot in the air with a mass of 2 kg and an acceleration of 9.81 m/s2.

Answers

Answer:

Force = 19.62 Newton

Explanation:

Given the following data;

Mass = 2kg

Acceleration = 9.81 m/s²

To find the force;

Newton's Second Law of Motion states that the acceleration of a physical object is directly proportional to the net force acting on the physical object and inversely proportional to its mass.

Mathematically, it is given by the formula;

Force = mass * acceleration

Substituting into the formula, we have;

Force = 2 * 9.81

Force = 19.62 Newton

1 poi
True or False: An object can be in motion and not in motion at the same
time depending on which frame of reference you are comparing the
motion to.
O True
False

Answers

Answer:

true

Explanation:

for example assume you are setting in a moving bus and when someone see you from the ground you are in motion but for some who is with you in the bus you are not in motion.

how fossils influence and change our understanding of the history of Earth and it's species.

Answers

Answer:

Fossils are the preserved remains or traces of animals, plants, and other organisms from the past. Fossils are important evidence for evolution because they show that life on earth was once different from life found on earth today.

Explanation:

Can I have an anime weirdo friend that's a girl pwease cuz guys are mean and don't understand. I'm a 16 yo guy​

Answers

Lol lol lol 2348 lol lol wywiwi

Answer:

Girls, we found one.

The "uwu pwease pwotect me, waifu" 'nice guy' that tries convincing naive girls to send inappropriate pictures within 2 hours of knowing them because he "in love" them.

The reality of the situation is the dude is very desperate and wants to project their anime girl fantasies onto a girl that pities them because "gwuys are mwean" to them.

Step-by-step explanation:

You're 16, kid. Two years until you're 18. Just say you want a weeb girl/friend. no need to try and draw pity from little girls and use that to manipulate them. If you said this when you were 12, it would be excusable. But you're 16. If you want to attract girls, don't use pity. Or try to type words in a cutesy manner, that's just very unattractive and makes you seem desperate.

Is telekinesis real??? I really wanna start learning it!

Answers

Answer:

Highly doubt something that requires great focus and mental strength exists

A 10 kg firework is shot in the air at 75 m/s. What is the momentum of the firework?

Answers

Answer:

Momentum = 750 Kgm/s

Explanation:

Given the following data;

Mass = 10 kg

Velocity = 75 m/s

To find the momentum;

Momentum can be defined as the multiplication (product) of the mass possessed by an object and its velocity. Momentum is considered to be a vector quantity because it has both magnitude and direction.

Mathematically, momentum is given by the formula;

[tex] Momentum = mass * velocity [/tex]

Substituting into the formula, we have;

Momentum = 10 * 75

Momentum = 750 Kgm/s

Can someone list 6 advantages of renewable energy.

Answers

Answer:

Solar energy,  Wind energy,  Hydro energy, Tidal energy, Geothermal energy,  Biomass Energy.

Explanation:

I hope that it helps you...

The equivalent resistance in a series circuit is found by ____
the resistances of all the resistors.

A. multiplying
B. comparing
C. adding the reciprocals of
D. adding​

Answers

Explanation:

In a series circuit the equivalent resistance is the algebraic sum of the resistances.

Your little cousin loves ice cream bars. You buy him one and he starts to lick it. As you sit down on a park bench, he drops
the bar on the seat of the bench. You pick up the bar to throw it away, but he starts to cry, so you shrug and give it back to
him. Will he definitely get sick?

Answers

Answer:

nop

Explanation:

It is not certain whether the child will get sick from eating the ice cream bar that was dropped on the bench.

What is contamination?

Contamination refers to the presence or introduction of harmful substances or organisms into a material, environment, or food source.

There is a possibility that the ice cream bar could have picked up bacteria or other contaminants from the bench that could make the child sick. However, the risk of illness depends on a number of factors, including the cleanliness of the bench, the length of time the ice cream was in contact with the bench, and the overall health of the child's immune system.

To reduce the risk of illness, it is important to wash hands and surfaces frequently, especially when handling food. If possible, it is best to discard food that has come into contact with potentially contaminated surfaces to prevent the spread of illness. However, if the child has already eaten the ice cream bar and does become sick, it is important to monitor their symptoms and seek medical attention if necessary.

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A horizontal spring is lying on a frictionless surface. One end of the spring is attached to a wall, and the other end is connected to a movable object. The spring and object are compressed by 0.065 m, released from rest, and subsequently oscillate back and forth with an angular frequency of 11.3 rad/s. What is the speed of the object at the instant when the spring is stretched by 0.048 m relative to its unstrained length

Answers

Answer:

Explanation:

Given that:

angular frequency = 11.3 rad/s

Spring constant (k) = [tex]= \omega^2 \times m[/tex]

k = (11.3)² m

k = 127.7 m

where;

[tex]x_1[/tex] = 0.065 m

[tex]x_2[/tex]  = 0.048 m

According to the conservation of energies;

[tex]E_1=E_2[/tex]

[tex]\Big(\dfrac{1}{2} \Big) kx_1^2 =\Big(\dfrac{1}{2} \Big) mv_2^2 + \Big(\dfrac{1}{2} \Big) kx_2^2[/tex]

[tex]kx_1^2 = mv_2^2 + kx_2^2[/tex]

[tex](127.7 \ m) \times 0.065^2 = v_2^2 + (127.7 \ m) \times 0.048^2[/tex]

[tex]0.5395325 = v_2^2 +0.2942208 \\ \\ 0.5395325 - 0.2942208 = v_2^2 \\ \\ v_2^2 = 0.2453117 \\ \\ v_2 = \sqrt{0.2453117} \\ \\ \mathbf{ v_2 \simeq0.50 \ m/s}[/tex]

GIVING BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 23pts-

Answers

Answer:

B is the answer!!

Explanation:

Un ciclista recorre 10 km en 2 h.Calcula su velocidad media en km/h.¿cuantos metros recorre cada segundo

Answers

Answer:

La velocidad media es 5 [tex]\frac{km}{h}[/tex], que equivale a 1.389 [tex]\frac{m}{s}[/tex]

Explanation:

La velocidad es una magnitud física que expresa la relación entre el espacio recorrido por un objeto y el tiempo empleado para ello.

La velocidad media relaciona el cambio de la posición con el tiempo empleado en efectuar dicho cambio. Por lo que se calcula como la distancia recorrida por un objeto dividido por el tiempo transcurrido:

[tex]velocidad=\frac{distancia}{tiempo}[/tex]

En este caso:

distancia= 10 km= 10,000 m (siendo 1 km= 1,000 m)tiempo= 2 h= 7,200 s (siendo 1 h= 3,600 s)

Entonces, reemplazando en la definición de velocidad media:

[tex]velocidad=\frac{10 km}{2 h}= \frac{10,000 m}{7,200 s}[/tex]

Resolviendo se obtiene:

[tex]velocidad=5 \frac{km}{h}= 1.389\frac{m}{s}[/tex]

La velocidad media es 5 [tex]\frac{km}{h}[/tex], que equivale a 1.389 [tex]\frac{m}{s}[/tex]

A man's higher initial acceleration means that a man can outrun a horse over a very short race. A simple - but plausible - model for a sprint by a man and a horse uses the following assumptions: The man accelerates at 6.0 m/s2for 1.8 s and then runs at a constant speed. A horse accelerates at a more modest 5.0 m/s2 but continues accelerating for 4.8 s and then continues at a constant speed. A man and a horse are competing in a 200 m race. The man is given a 100 m head start, so he begins 100 mfrom the finish line.

How much time does it take the man to finish the race? The horse? Who wins?

Answers

Answer:

 t_man = 10.16 s,   t_horse = 10.73 s,  the winner is the man

Explanation:

To solve this problem we are going to find the time of each one separately.

Man we look for distance and time during acceleration

         x₁ =  v₀ t₁ + ½ a₁ t₁²

as it comes out of rest its initial velocity is zero

        x₁ = ½ a₁ t₁²

        x₁ = ½ 6.0 1.8²

        x₁ = 9.72 m

at this point its speed is

        v₁ = v₀ + a t

        v₁ = 0 + 6  1.8

        v₁ = 10.8 m / s

From here on it continues at constant speed, the distance that the man needs to travel from the point where the man leaves at 100m is

        x₂ = 100 - x₁

        x₂ = 100- 9.72

        x₂ = 90.28 m

the time for this part is

        v₁ = x₂ / t₂

         t₂ = x₂ / v₂

         t₂ = 90.28 / 10.8

         t₂ = 8.36 s

the total time for the man is

        t_man = t₁ + t₂

        t _man = 1.8 + 8.36

        t_man = 10.16 s

We repeat the calculation for the horse

distance traveled during the acceleration period

         x₃ = v₀ t + ½ a₂ t₃²

as part of rest its initial velocity is zero

        x₃ = ½  a₂ t₃²

        x₃ = ½  5.0  4.8²

        x₃ = 57.6 m

the velocity at this point is

         v₃ = v₀ + a₂ t₃

         v₃ = 0 + 5  4.8

         v₃ = 24 m / s

the rest of the route is at constant speed, the remaining distance

         x₄ = 200 - x₃

         x₄ = 200 - 57.6

         x₄ = 142.4 m

the time to go through it is

         t₄ = x₄ / v₃

         t₄ = 142.4 / 24

         t₄ = 5.93 s

the total time for the horse is

         t_horse = t₃ + t₄

         t_horse = 4.8 + 5.93

         t_horse = 10.73 s

when we compare the times we see that the man arrives a little before the horse, the winner is the man

Other Questions
mRNA is a complementary copy of a Dna strand. Write in the complementary RNA bases for the DNA template strand below. Which statement best describes a central idea Rosenberg develops about the familiesreconciling after Romeo and Juliet take their own lives in "Romeo and Juliet is a Terrible Play, andDavid Leveaux Can't Change That"?A It represents an immature response to contietBit is a realistic response given the seriousness of the events.C. The characters do not have enough tim to reconcile.D. Reconciliation can sometimes be achieved through tragedy Um so my was asking me a question and wants me to explain it to her. She said this and I don't know what she said next. Could you "fill in the blank". Thanks! "when you are dealing with absolute values got to be really careful about what your final step looks like.So when you isolate your absolute value bars, if you have the absolute value of something we know this can be positive is greater than a negative number your golden cuz a positive number is always going to be greater than a negative number. But if you end up with an absolute value of something and it's less than a negative number that's never going to be true because _______________" what is 10 / 2 + (2x4) -3 ? Which of the following is not a benefit of contributing to a retirementaccount?A. Contributions earning interest once depositedB. Contributions equaling "free money"O C. Reduction in taxable incomeD. Employer matching there are 10 students in miss mendoza's remedial class. how many ways can she choose 3 students to clean the room? Use your own words please. please help me. I don't understand. What is the phenotype of the sons in generation III? How do you know? amobia sisters David invested $68,000 in an account paying an interest rate of 5.5% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $93,000? Suppose a cone and a cylinder both have congruent circular bases and congruent heights. How may times larger is the cylinder than the cone? PLEASE HELP!!!which inequality is shown on the graph below Sandwiches are not ... here 1made 2- maked f(1) = -3f(n) = 2. f(n 1) +1f(2)= A charged particle (charge 1.6x10-19 C and mass 1.67x10-27 kg) is initially moving with a velocity of 2x105 m/s and then moves into a region having a magnetic field and an electric field (6x104 V/m). The direction of initial velocity is perpendicular to the electric field and magnetic field. If the charged particle keep moving in the original direction without being deflected, what is the magnitude of the magnetic field Ill mark brainliiest What type of organism is the common house cat?FparasiteGsaprophyteHautotrophJheterotroph Data collected from part of a population is a _______. What is the radius, in centimeters, of a circle that has a circumference of 16? 8163264 Which type of cell can have a flagellum or cilia