an object of mass 8 kg is wild around rapidly in a vertical circle of radius 2 metres with constant speed of 6 m per second calculate the maximum tension in the string​

Answers

Answer 1

Answer:

[tex] \boxed{\sf Maximum \ tension \ (T_{max}) = 224 \ N} [/tex]

Given:

Mass (m) = 8 kg

Constant speed (v) = 6 m/s

Radius of vertical circle (r) = 2 m

Accelration due gravity (g) = 10 m/s²

To Find:

Maximum tension in the string ([tex] \sf T_{max} [/tex])

Explanation:

As the object is moving in a vertical circular path. So, the maximum tension on the string is when the body will be on its lowest position because at that point centrifugal force and force due to gravity both will act on the body in same direction.

So,

Maximum tension ([tex] \sf T_{max} [/tex]) is the string will be equal to centrifugal force ([tex] \sf F_c [/tex]) + Force due to gravity.

[tex] \boxed{ \bold{ T_{max} = F_c + mg= \frac{m {v}^{2} }{r} + mg }}[/tex]

Substituting value of m, v, r & g in the equation:

[tex] \sf \implies T_{max} = \frac{8 \times {6}^{2} }{2} + 8 \times 10 \\ \\ \sf \implies T_{max} = \frac{8 \times 36}{2} + 80 \\ \\ \sf \implies T_{max} = \frac{8 \times 36}{2} + 80 \\ \\ \sf \implies T_{max} = \frac{288}{2} + 80 \\ \\ \sf \implies T_{max} = 144 + 80 \\ \\ \sf \implies T_{max} = 224 \: N [/tex]

[tex] \therefore[/tex]

Maximum tension in the string (T) = 224 N


Related Questions

The net external force on the propeller of a 3.32 kg model airplane is 23 N forward. What is the acceleration of the airplane?

Answers

Answer:

6.93 m/s^2

Explanation:

Given that the The net external force on the propeller of a 3.32 kg model airplane is 23 N forward

Where

Mass M = 3.32kg

Force F = 23 N

Force = mass × acceleration

Substitute all the parameters into the formula

23 = 3.32 × a

a = 23/3.32

a = 6.93 m/s^2

Therefore, the acceleration of the airplane is 6.93 m/s^2

Tell me about your experiences with science​

Answers

Answer:

Well i once did an expiremnet and it exploaded in my face lol

Explanation:

Answer:

so good

Explanation:

perfect nice and explody too much

A 20 kg block rests on a rough horizontal table. A rope is attatched to the block and is pulled with a force of 80 N to the left. As a result, the block accelerates at 2.5 m/s^2 . The coefficient is Kinetic force friction between the block and the table is ____( Round to the nearest hundredth )

Answers

Given :

Mass of block , M = 20 kg .

Force applied , F = 80 N .

Acceleration of block , [tex]a=2.5\ m/s^2[/tex] .

To Find :

The coefficient is Kinetic force friction between the block and the table .

Solution :

We know , Force equation on block is given by :

[tex]F_{net }=F-\mu_k mg \\\\ma = F-\mu_k mg \\\\20\times 2.5 = 80 -\mu_k \times 20 \times 10\\\\\mu_k\times 200=30\\\\\mu_k=\dfrac{30}{200}\\\\\ mu_k=0.15[/tex]

Therefore , coefficient is Kinetic force friction between the block and the table is 0.15 .

Hence , this is the required solution .

The Flash can travel 400 m in just 5.2 minutes. What is his average velocity in m/s?

Answers

Answer:

76.9231

Explanation:

Divide 400m by 5.2 to get the answer.

Speed = (distance) / (time to cover the distance)

Speed = (400 m) / (5.2 minutes)

Speed = (400 m) / (312 seconds)

Speed = 1.28 m/s

There's not enough given information to find his velocity.

(I'll be honest with ya, Flash: 1.28 m/s is no big deal. It's only about 2.87 miles per hour. My dog can walk faster than that, and so can most healthy people. If that's the best you can do, then you probably shouldn't be running around chasing bad guys.)

I want to know if high school starts hard and gets easier as the year goes? in your opinion

Answers

Answer:

It depends on how much you stress I recommend starting calm!

Explanation:

Answer:

I'm a senior right now, but I think the subjects gradually get more difficult, it's not all too difficult though, it's just stressful because the amount of work your expected to finish.

Explanation:

Raymond and Julie ar driving to Santa Barbara.
They drive at an average speed of Bomon for
2.5 hours before he stopping for lunch. H
takes them 30 minutes to eat. After lunch
they continue driving or an average speed
of so mon for 3.0 nono . What is their
average speed, in miles
for the
3.5
entive
HID
per hour

Answers

This is not worded correctly. Soooo idk sorry:/

Convert 543 g to kg (Use correct number of significant figures for answer).
a
Ob
e
0.5 kg
0.54 kg
0.543 kg
5.0 kg
5.4 kg
5.43 kg
54,300 kg
543,000 kg
None are Correct
g

Answers

Answer:

0.543 kilogram

Explanation:

thats the answer

I will give brainliest if right

Which cell structure is thought to have arisen through an endosymbiosis in plant but not animal cells?

Choose 1 answer:

(Choice A) A Cell wall

(Choice B) B Mitochondria

(Choice C) C Chloroplast

(Choice D) D Ribosome

Answers

Answer:

chloroplast

Explanation:

Endosymbiosis theory explains the origin of chloroplast and mitochondria in the eukaryotic organisms.

When the pro-eukaryotes engulfed the blue-green algae or photosynthetic bacteria, these bacteria formed the symbiotic relationship with the pro-eukaryotes. These photosynthetic bacteria transformed into the chloroplast organelles of the eukaryotes which can capture the sunlight and use it in the synthesis of glucose molecules. These eukaryotic cells later formed the plant kingdom.

Which form of emission is commonly not written in nuclear equations because they do not affect charges, atomic numbers, or mass numbers?

Answers

Answer:

Gamma radiation .

Explanation:

Three types of emission result at the time of nuclear emission .

alpha emission

Beta emission

Gamma radiation emission

Gamma radiation results in the emission of gamma ray . This is a very high frequency radiation . It is not a particle having charge and mass like alpha and beta emission . So it has no effect on the mass and charge of the product that is formed after gamma radiation . The only effect it has on the product is that it reduces the kinetic energy of the emitting particles or it reduces the internal energy of the product . It causes negligible change in the mass of the product and no change in the charge of the product.

That is why , generally this product is not written in the nuclear reaction .

Answer:

The answer is Gamma ray

Explanation:

Because this is a very high frequency radiation, is not a particle having charge and mass like alpha and beta emission, so it has no effect on the mass and charge of the product that is formed after gamma radiation. The only effect it has on the product is that it reduces the kinetic energy of the emitting particles or it reduces the internal energy of the product, it causes negligible change in the mass of the product and no change in the charge of the product.

how many grams is 1dg?​

Answers

Answer:

Oh, I didn't know if u meant decigram or decagram! So for decagram there would be 10 grams and deci gram is 0.1 grams.  Hope this helps!!

Explanation:

Answer:

Hey there!

There are 10 grams in one decagram.

Let me know if this helps :)

What are 3 macro nutrients

Answers

Answer:

proteins carbohydrates and fats

Explanation:

Answer:

Carbohydrates, Proteins, and Fats.

Choose the nonmetallic elements from the list. Check all that apply. yttrium oxygen boron polonium argon gallium carbon

Answers

Answer:

oxygen

argon

carbon

Explanation:

Answer:

B E G Oxygen Argon Carbon

Explanation:

Plz help me I will mark brainlieat Ques. Write down name and molecular formula of a
Compound which gives hydrogen ion and sulphate on
in solution state. In which colour is the methyl Orange
changed after treating with this compound? Why?
Write name of salt when the same compound is
treated with sodium hydroxide Write down chemical
equation​

Answers

The compound is (Sulphuric Acid) H2SO4. On reacting with (Sodium Hydroxide) NaOH, it gives (2 Water Molecules/Colored) 2H2O and (1 Sodium Sulfate Molecule/Salt) Na2SO4

H2SO4 + NaOH —> 2H2O (aq.) + Na2SO4 (salt)

The resulted salt/compound (Na2SO4) when reacting with Methyl Orange (MO) is called ”Removal of methyl orange dye and Na2SO4 salt from synthetic wastewater using reverse osmosis (RO)”

The efficiency of reverse osmosis (RO) membranes used for treatment of colored water effluents can be affected by the presence of both salt and dyes.

Concentration polarization of each of the dye and the salt and the possibility of a dynamic membrane formed by the concentrated dye can affect the performance of the RO membrane.

The objective of the current work was to study the effect of varying the Na2SO4 salt and methyl orange (MO) dye concentrations on the performance of a spiral wound polyamide membrane.

The work also involved the development of a theoretical model based on the solution diffusion (SD) mass transport theory that takes into consideration a pressure dependent dynamic membrane resistance as well as both salt and dye concentration polarizations.

Control tests were performed using distilled water, dye/water and salt/water feeds to determine the parameters for the model.

The experimental results showed that increasing the dye concentration from 500 to 1000 ppm resulted in a decrease in the salt rejection at all of the operating pressures and for both feed salt concentrations of 5000 and 10,000 ppm.

Increasing the salt concentration from 5000 to 10,000 ppm resulted in a slight decrease in the percent dye removal. The model’s results agreed well with these general trends.

A car accelerates from a rest at -3 m/s2. What is the displacement after 4.7 sec?

Answers

The answer is 21/ms I bel

1 point
In a biology experiment the number of yeast cells is determined after 24
hours of growth at different temperatures. What is the INDEPENDENT
variable? *
type of yeast
24 hour time period
different temperatures
number of yeast cells

Answers

Answer:

different temperatures

Explanation:

The independent variable would be different temperatures.

The independent variable is the variable that is manipulated or varied in an experiment in order to see the effects it will produce on another variable - the dependent variable. The values of the independent variable are directly inputted by the researcher and are not changed by any other variable throughout the experiment.

In the illustration, the effect of a variation in temperature is determined by counting the number of yeast cells. This showed that the manipulated variable is the temperature and hence, the independent variable.

A long, nonconducting, solid cylinder of radius 4.0 cm has a nonuniform volume charge density r that is a function of radial distance r from the cylinder axis: r ! Ar2 . For A ! 2.5 mC/m5 , what is the magnitude of the electric field at (a) r ! 3.0 cm and (b) r ! 5.0 cm?

Answers

Answer:

a) 1.91 c/m

b) 3.62 c/m

Explanation:

See attached image

Name three common areas where unethical situations can occur in research.​

Answers

Answer:

Unethical behavior or ethical code are very important ion research or different areas. Ethical code protects people from misbehavior, disclose their privacy etc.

Explanation:

Many of people walk to the working place where most of people witnessed the unethical behavior with them. There are many area that are responsible for misconduct such as :

Misusing company timeAbusive behavior by researcher in field work.Leak privacy by a doctor of patient. In organization lying to the employee related to contract.To violet the company policies. In clinical setting misbehave with patient that unethical Unethical behavior could occur in business, among individual, by professional and among the political parties and social workers.

a car starts from rest and drives at 45 m/s in 20 s. how far did it travel

Answers

Answer:

distance=speed×time.

45×20=900m.

A charge +Q is located at the origin and a second charge, +4Q, is at distance d on the x-axis. If a third charge, q, is placed somewhere, so that all three charges will be in equilibrium.1. What should be its sign, so that all three charges will be in equilibrium?A. Negative.B. Positive.2. What should be its magnitude, so that all three charges will be in equilibrium?

Answers

Answer:

Third charge should be placed at a distance d/3

Sign is negative

Magnitude is |q| = 4Q/3

Explanation:

To find a place where a third charge, q, is placed so that all three charges will be in equilibrium would be at;

E1 = E2

Now, let the distance between the charges +Q and +4Q be d. Also, let the distance from charge +Q to the third charge q be x.

Thus;

E1 = kQ/x²

E2 = k(4Q)/(d - x)²

Since equilibrium, then;

E1 = E2 gives;

kQ/x² = k(4Q)/(d - x)²

k and Q will cancel out to give;

1/x² = 4/(d - x)²

Cross multiply to get;

(d - x)² = 4x²

Taking square root of both sides gives;

√(d - x)² = √4x²

Gives;

d - x = 2x

d = x + 2x

d = 3x

x = d/3

This is the point at which E1 = E2.

Since at equilibrium, it means that Fq + F2 = 0

Now, electric force formula is;

F = kq1*q2/r²

So; Fq = kqQ/x²

F2 = kQ(4Q)/d²

Equating Fq + F2 = 0 gives;

kqQ/x² + kQ(4Q)/d² = 0

kqQ/x² = -kQ(4Q)/d²

Like terms cancel out to get;

q/x² = -4Q/d²

q = - 4Qx²/d²

earlier we saw that x = d/3.

So, q = -4Q × (d/3)²/d²

q = -4Q × ⅓

q = - 4Q/3

Thus,it's sign is negative.

It's magnitude will be the positive value.

Thus, magnitude is;

|q| = 4Q/3

1). The sign that will be of all the given three charges being in equilibrium would be:

A). Negative

2). The magnitude to allow all the given three charges to remain in equilibrium would be:

- Magnitude [tex]|q| = 4Q/3[/tex]

Given that,

First Charge [tex]= +Q[/tex]

Second Charge[tex]= +4Q[/tex]

Third Charge [tex]= q[/tex]

The location where they will be in equilibrium would be:

[tex]E1 = E2[/tex]

So,

We will assume the distance between the first two charges i.e. +Q and +4Q as d and assume the distance from charge +Q to the third charge q as x.

Now,

[tex]E1 = kQ/x^2[/tex]

[tex]E2 = k(4Q)/(d - x)^2[/tex]

Therefore,

The equilibrium will be at:

[tex]kQ/x^2 = k(4Q)/(d - x)^2[/tex]

by solving we get,

[tex]x = d/3[/tex]

Because at equilibrium [tex]Fq + F2 = 0[/tex],

So,

F [tex]= kq1*q2/r^2[/tex]

and [tex]Fq = kqQ/x^2[/tex]

[tex]F2 = kQ(4Q)/d^2[/tex]

by resolving the equation, we get;

[tex]Fq + F2 = 0[/tex]

[tex]kqQ/x^2 + kQ(4Q)/d^2 = 0[/tex]

By solving it, we get

[tex]Magnitude(q) = - 4Q/3[/tex]

Thus, the sign is negative.  

and Magnitude |q| = 4Q/3

Thus, options A and [tex]|q| = 4Q/3[/tex] would be the correct answer.

Learn more about "Charge" here:

brainly.com/question/3412043

An ant crawled from a hole to the food. For the first 6
minutes, it travelled at an average speed of 15 m/min. For
the next 9 minutes, it travelled at an average speed of 10
m/min. What was the average speed of the whole journey?
m/min

Answers

Answer:12

Explanation:Average speed=Total Distance divided by Total Time.

find the potential energy of a diver of mass 75kg at a height of 10m above a swimming pool g=9.8m

Answers

Answer:

[tex] \boxed{\sf Potential \ energy \ (PE) = 7.35 \ kJ} [/tex]

Given:

Mass (m) = 75 kg

Height (h) = 10 m

Acceleration due to gravity (g) = 9.8 m/s²

To Find:

Potential Energy (PE)

Explanation:

The formula for potential energy due to gravity:

[tex] \boxed{ \bold{PE = mgh}}[/tex]

Substituting value of m, g & h in the formula:

[tex] \sf \implies PE = 75 \times 10 \times 9.8 \\ \\ \sf \implies PE = 7350 \: J \\ \\ \sf \implies PE = 7.35 \: kJ[/tex]

How do you think the mass of an object affects how much friction get exerted on the object by a rough surface?

Answers

Explanation:

Friction can't affect mass of a substance(considering for a substance whose mass doesn't change with time),rather it is the mass of an object which can affect friction variously. Let's take some example to understand the situation. So,higher the mass of the object,higher will be the frictional force.

Friction occurs because no surface is perfectly smooth. Rougher surfaces have more friction between them. Heavier objects also have more friction because they press together with greater force. Friction produces heat because it causes the molecules on rubbing surfaces to move faster and have more energy.

What is the difference between centrifugal force and centripetal force???

Answers

Centripetal force is defined as, "the force that is necessary to keep an object moving in a curved path and that is directed inward toward the center of rotation," while centrifugal force is defined as "the apparent force that is felt by an object moving in a curved path that acts outwardly away from the center of rotation," according to Merriam Webster Dictionary.

Answer:

Centripetal force is the force that is necessary to keep an object moving in a curved path and that is directed inward toward the center of rotation, while centrifugal force is the apparent force that is felt by an object moving in a curved path that acts outwardly away from the center of rotation

Explanation:

Hope this helps!

Brainliest if correct pls

When exercising, which hormone level decreases in females often causing a better mood?
Estrogen
Adrenaline
Blood Sugar
Cortisol

Answers

Answer:

The correct option is;

Adrenalin

Explanation:

The presence of Adrenalin can cause headaches, memory loss, confusion, make a person unable to concentrate, and therefore, generally affects the mode in female, as such it is important for a decrease the level of Adrenalin by exercising, which causes the Adrenalin and cortisol to reduce in a similar  way to consuming gasoline by burning gasoline, cardiovascular exercises burns Adrenaline.

Doing exercises causes adrenaline and cortisol, which are the body's stress hormones to be reduced.

Answer:

It's adrenaline

Explanation:

I just took a quiz and got it right

what are different type of plastids explain them?​

Answers

Answer:

types of plastids

chloroplasts

chromoplasts

gerontoplasts

leucoplasts

Explanation:

ans

Plz help me this question is hard to under stand

Answers

Answer:

____________

in real world conditions?

it seems the most plausible.

Answer (B)

Cars are tested on closed tracks and race tracks so rule out A, D. Tha leaves us with B, C. C is kind of a real-world situation so the answer is most likely, B.

Driving at 75 m/s, you hit the brakes on your new car, accelerating at
a rate of -20 m/s2. How much time will it take the car to come to
rest?

Answers

Explanation:

initial velocity, u = 75m/s

acceleration, a = -20m/s2

final velocity, v = 0m/s (rest)

Using the formula,

v = u + at

0 = 75 + (-20)t

t = 3.75 seconds

What is the average speed of a car that traveled 222.0 miles in 4.596 hours?

Answers

Answer:

48.3mph

Explanation:

Given that

Distance = 222.0miles

Time = 4.596hours

Average speed = total distance/total time

= 222.0miles/4.596

= 48.3mph

Hence the average speed is 48.3mph

Which of the following is an example of an electromagnetic wave? (2 points)

Red light

Ocean waves

Sound waves

Earthquakes

Answers

a) red light
red lights are an example of an electromagnetic wave. visible lights are the only electromagnetic waves we can actually see on the spectrum. red, in particular has the biggest wavelength.

b) ocean waves
ocean waves are not an electromagnetic wave. in fact, it’s a mechanical wave. electromagnetic waves can travel through a vacuum, that is empty space, but mechanical waves cannot.

c) sound waves
sound waves are also not an electromagnetic wave. it’s a mechanical wave. you cannot hear electromagnetic waves.

d) earthquakes
an earthquake is also not an example of electromagnetic waves. it’s a mechanical wave.

hope this helps!

Answer:

a

Explanation:

2. Find the velocity when the displacement is 40 m and the time is 5 s.

Answers

Answer:

V=?

S= 40m

t=5s

V=S/t

V=40/5

V=8m/s

Other Questions
What most accurately describes the relationship between the British colonies and American Indians? A.British colonies wanted to integrate American Indians into their culture and religion. B.British colonies developed strong trading partnerships with American Indians. C.British colonies wanted to share land with American Indians. D.British colonies wanted American Indians out of the way so the colonies could profit more. A swimmer bounces straight up from a diving board and falls feet first into a pool. She starts with a velocity of 3.00 m/s, and her takeoff point is 1.80 m above the pool.(a) How long are her feet in the air?(b) What is the highest point above the board her feet reach? (c) What is her velocity when her feet hit the water? The length of each edge of a cube is x centimeters. If x is an integer, why can't the volume of the cube equal 15cm. Show work please According to Ken Robinson , what is the same about educational system around the world? "Small talk" or scripted and routine verbal interactions that are intended to establish social bonds rather that actually exchange meaning are called______________. Angles, angles everywhere! Big ones, little ones, rightones too! But this angle is something new. It has tworays that meet at a vertex, and it measures 180degrees. How complex! What angle am I? Draw me. Given the points R(-4, 5) and S(2, -1). Find RS, the midpoint of RS, and point P which is 13 of the distance from R to S. Leave your answer as a simplified radical. Why did industrialization and urbanization lead to the conditions that produced the gilded age? What is a common misconception/mistake made when calculating the final velocity for a falling object There are exclusions that make the expression 27a^3-1/9a^3-6a+1 undefined True or false? Thank u to anyone that can help A recession is usually declared to be over when short-run output returns to potential output.A. TrueB. False explained the workings of the human heartWho explained the workings of the human heart -12F+ -23F please don't let me down Find the exact solution to the equation. (2 points) five to the power of quantity nine minus three x equals one hundred and twenty five. Explain one of the three types of plate movement that can take place along the Earth's plate boundaries. You maydiscuss convergent, divergent, or transform boundaries. What happens at this type of boundary? What can happen to theEarth's surface? How would you value a 1000 bond with 10% coupon rate? Answer as a fraction (please help) what is the answer to the problem 6=a/2+2 The quotient of 8 divided by 1/5 will be less than or greater than 8. help plz! Complete with the correct subject pronoun.Carmen y Maria