A circle has a radius of 10 inches. Find the approximate length of the arc intersected by a central angle of mc001-1. Jpg 6. 67 inches 10. 47 inches 20. 94 inches 62. 8 inches.

Answers

Answer 1

The approximate length of the arc intersected by the central angle is 20.94 inches.

The given parameters:

Radius of the circle, r = 10 inchesCentral angle, [tex]\theta = \frac{2\pi }{3} \ rad[/tex]

The approximate length of the arc intersected by the central angle is calculated as follows;

S = rθ

where;

S is the length of the arc

Substitute the given parameters and solve for the length of the arc

[tex]S = 10 \ in \times \frac{2\pi }{3} \\\\S = 20.94 \ inches[/tex]

Thus, the approximate length of the arc intersected by the central angle is 20.94 inches.

Your question is not complete, find the complete question below:

A circle has a radius of 10 inches. Find the approximate length of the arc intersected by a central angle of [tex]\frac{2\pi}{3}[/tex].

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Related Questions

A gas in a closed container is heated with 10J of energy, causing the lid of the container to rise 2m with 3N of force. What is the total change in energy of the system

Answers

Explanation:

For this problem, use the first law of thermodynamics. The change in energy equals the increase in heat energy minus the work done.

ΔU=Q−W

We are not given a value for work, but we can solve for it using the force and distance. Work is the product of force and displacement.

W=FΔx

W=3N×2m

W=6J

Now that we have the value of work done and the value for heat added, we can solve for the total change in energy.

ΔU=Q−W

ΔU=10J−6J

ΔU=4J

Answer is 4J

i think this may help you very much

a car travels at a constant speed of 20m/s and yet it does not have a constant velocity. explain how this could be

Answers

Answer:

HOPE THIS HELPS!!

Explanation:

Velocity is speed as well as distance mentioned.

The car is traveling at a constant speed of 20m/s but it may not be traveling in any particular direction. It would be taking many turns (left and right) or it would be moving in a circular manner.

So,it is at constant speed but not constant velocity.

Twins Bo and Joe have a combined mass of 200 kg and are zooming along at 10 m/s in a 100 kg amusement park bumper car. They bump into Melinda’s car, which is sitting still. Melinda has a mass of 25 kg and is also in a 100 kg car. After the collision, the twins continue moving with a speed of 4.12 m/s.
a. What is the initial momentum of the system?
b. What must be the final momentum of the system?
c. How fast is Melinda’s car bumped across the floor?

Answers

The speed with which Melinda’s car is bumped across the floor is 14 ms-1.

Total mass of the twins and the car = 300 Kg

Initial velocity of the twins car =  10 m/s

Total mass of Melinda and her car = 125 Kg

Initial velocity of Melinda's car = 0 m/s (at rest)

Final velocity of the twins car =  4.12 m/s

Final velocity of Melinda's car = ?

Initial momentum of the system = (300 × 10) + (125 × 0) = 3000 Kgms-1

Final momentum of the system = (300 × 4.12) + (125 × x) = (1236 + 125x) Kgms-1

Using the principle of conservation of linear momentum;

Total momentum before collision = Total momentum after collision

m1u1 + m2u2 = m2v1 + m2v2

(300 × 10) + (125 × 0) = (300 × 4.12) + (125 × x)

3000 = 1236 + 125x

x =  3000 -  1236 /125

x = 14 ms-1

The speed with which Melinda’s car is bumped across the floor is 14 ms-1.

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Do two indentical objects become statically charged when you rub them together? Explain why they do or do not.

Answers

Answer:

Yes, they do. When two different materials are rubbed together, there is a transfer of electrons from one material to the other material. This causes one object to become positively charged and the other object to become negatively charged.

Explanation:

hope this helps

HELP!!!
Which of the following statements is true about magnets?

A. The molecules of the atom are unaligned
B. The orientation of atoms does not affect a magnet
C. The north pole is stronger than the south pole
D. The molecules of the atom are all aligned

Giving brainliest to the correct answer! (If both are correct I'll give whoever answered correctly 1st brainliest!)

Answers

Answer:

Explanation:

A is not correct. That means that D is since they offer exactly the opposite meanings.  

C is rubbish. One pole could not be stronger than the other. Heaven help us if touched the stronger pole.

B the very point of a magnet is that it does matter how the atoms are orientated.

please help quick
How much work is done by the people in raising the load 3 meters if the combined pulling force of the men on the rope is 700 newtons?
A.233 N·m
B. 703 N·m
C. 2,100 N·m
D. 400 N·m

Answers

Answer:

C is the right answer for the question

If the force to stretch a spring is given as k = (100N/m), then what is the potential energy of the spring if it is stretched 1 meters from rest?

Answers

Answer:

50 Joules

Explanation:

a car is travelig at 20.0 m/s when the driver applies the brakes and comes to a stop. if the car slows down uniformly with an acceleration of -4.20 m/s, about how far does the car travel before coming to a rest

Answers

Since acceleration is constant, we can use the formula

v² - u² = 2a ∆x

where v = final velocity, u = initial velocity, a = acceleration, and ∆x = displacement. Then

0² - (20.0 m/s)² = 2 (-4.20 m/s²) ∆x

⇒   ∆x = (20.0 m/s)² / (8.40 m/s²) ≈ 47.6 m

Write a paragraph explaining how a pressurized garden sprayer works. Make sure todescribe what happens to the air pressure insidethe sprayer as it is pumped by hand.

Answers

The principle of operation of a pressurized garden sprayer is as follows;

A pressurized garden sprayer is a chamber which is filled with a liquid which can be a lubricant, paint or chemical, then filled with compressed air to allow the liquid to be sprayed at high pressure.

As it is pumped by hand, the compressed air with which it is filled serves the primary purpose of allowing the liquid to be sprayed at high pressure - an important requirement for performance characteristics of the sprayer.

Flammable liquids must not be used with such equipment.

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yvonne van gennip of the netherlands ice skated 10.0 km with an average speed of 10.8 m/s. suppose vang ennip crosses the finish line at her average speed and takes a huge boquet of flowers handed to her by a fan. as a result her speed drops t o10.01 m/s. if van gennip’s mass is 63.0 kg what is the mass of the boquet?

Answers

By conservation of momentum, we will find that the mass is 4.97 kg.

So in the original system, we have two objects, the bouquet of flowers of mass M that is not moving and Yvonne, which has a mass of 63 kg and a speed of 10.8 m/s.

Then the total momentum of this system is:

P = (63kg)*(10.8m/s) + M*(0 m/s) = 680.4 kg*m/s.

Remember the conservation of momentum, thus, the final momentum must be equal to the above one.

In the final situation, Yvonne and the bouquet move together with a speed of 10.01 m/s,

Then the final momentum is:

P' = (63kg + M)*(10.01 m/s)

And that must be equal to the initial momentum, then we have the equation:

(63kg + M)*(10.01 m/s) = 680.4 kg*m/s.

630.63kg*m/s + M*10.01 m/s = 680.4 kg*m/s.

M*10.01 m/s = 680.4 kg*m/s - 630.63kg*m/s = 49.77 kg*m/s

M = (49.77 kg*m/s)/(10.01 m/s) = 4.97 kg

So the mass of the bouquet is 4.97 kg

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A bicycle accelerates from rest to 6m/s in a distance of 50m, calculate the acceleration

Answers

50x6=300 this is the answer I think

The acceleration of the bicycle is 0.12 m/[tex]s^{2}[/tex].

We know that acceleration is the change in velocity divided by the change in time. In this case, the bicycle is accelerating from rest to a velocity of 6 m/s. The change in time is the time it takes the bicycle to travel 50 m.

We can use the following equation to find the acceleration:

a = (v2 - v1) / t

where:

a is the acceleration

v2 is the final velocity (6 m/s)

v1 is the initial velocity (0 m/s)

t is the time

Plugging in the values from the problem, we get:

a = (6 m/s - 0 m/s) / 50 s

= 0.12 m/[tex]s^{2}[/tex].

Therefore, the acceleration of the bicycle is 0.12 m/[tex]s^{2}[/tex].

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which term is defined by the interaction between two charged particles?

Answers

Answer: Electromagnetism

The term which is defined by the interaction between two charged particles is known as electromagnetism.

What is an electromagnet?

The study of charge and the fields and forces it generates is known as electromagnetism. Electromagnetism has two components: electricity and magnetism.

The special theory of relativity, developed by Albert Einstein in 1905, proved beyond a shadow of a doubt that both are components of the same reality. But in reality, magnetic and electric forces behave very differently and are modeled by various equations. Electric charges can produce forces whether they are stationary or moving. On the other hand, magnetic forces are only created by moving charges and only affect charges that are moving.

Thus, the term is known as electromagnetism.

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If a 35 kg box collides with a stationary 120 kg box with a force of 90 N, what must
be true of the magnitude of the reaction force?

Answers

Answer:

yes , true the magnitude of the reaction force.

Jeremiah rides his bicycle 4 miles in 30 minutes. If he maintains this rate, how far will he ride in 3 hours?

Answers

Answer:

24 miles.

Explanation:

3 hours=180 minutes

180÷30=6

6x4=24

1. How much energy is needed just to melt 0.56kg of ice at 0◦ C?
2. How much energy is needed just to boil 5kg of water at 100◦ C?
3. What is the specific heat of metal if its mass is 27 g and it requires 420 J of heat energy to
increase its temperature from 25°C to 50°C?


please help me out I dont have much time

Answers

Answer:

This will require 266.9 of heat energy.

Explanation:

To calculate the energy required to raise the temperature of any given substance, here's what you require:The mass of the material, m The temperature change that occurs,  ΔT The specific heat capacity of the material,

c

(which you can look up). This is the amount of heat required to raise 1 gram of that substance by 1°C.

Here is a source of values of

c for different substances:

Once you have all that, this is the equation:

Q=m×c×ΔT(Q is usually used to symbolize that heat required in a case like this.)For water, the value of c is 4.186g°C So, Q=750×4.186×85=266=858=266.858

To overcome an object's inertia, it must be acted upon by __________. A. Gravity B. Energy C. Force D. Acceleration Please select the best answer from the choices provided. A B C D.

Answers

Taking into account the Newton's first Law, the correct answer is option C. To overcome an object's inertia, it must be acted upon by a force.

Newton's First Law, also called the Law of inertia, indicates that "Every body perseveres in its state of rest or of uniform rectilinear motion unless it is forced to change its state by forces impressed on it." This means that for a body to come out of its state of rest or of uniform rectilinear motion, it is necessary for a force to act on it.

In other words, it is not possible for a body to change its initial state (be it rest or motion) unless one or more forces intervene.

Finally, the correct answer is option C. To overcome an object's inertia, it must be acted upon by a force.

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Answer:

C) Force

Explanation:

1. Apply a constant force of 50 N directed to the right of the 50 kg Box. (2 pts)
Hypothesis:?
Conclusion: ?

Answers

As the box is moving with a constant velocity, the two forces acting on the box are canceling each other.

Then   friction force = 80 Newtons              but in the opposite direction.

Friction force =  Mu  * Normal force exerted by ground  =  Mu * weight of box

So we find Mu.

Mu = coefficient of friction between box and horizontal surface

          = Force of friction / weight  =  80 / 50 * 9.81 = 0.163

When an identical box is placed on top, the force of friction is

      = Mu * total weight = 0.163 * (50+50) * 9.81 = 159.9 Newtons

what 3 things make up a nucleotid

Answers

Answer:

A nucleotide consists of a sugar molecule (either ribose in RNA or deoxyribose in DNA) attached to a phosphate group and a nitrogen-containing base. The bases used in DNA are adenine (A), cytosine (C), guanine (G), and thymine (T).

What is the speed of sound through air?
200 meters per second
335 meters per second
400 meters per second
600 meters per second

Answers

331.29 metres (1,086.9 feet) per

A balloon is rubbed against a sweater. Which of the following describes the result of this interaction?(1 point)
The outer shell electrons move from the balloon to the sweater.

The fibers of the sweater lose electrons.

The balloon becomes positively charged.

The free electrons in the balloon decreases.

Answers

Answer:

The fibers of the sweater lose electrons.


A racquetball with a mass of 42 g is moving with a horizontal speed of 7 m/s to the right (+x direction). It hits the wall of the court and rebounds to the hitter with a horizontal speed of 7m/a to the left (-x direction).what is the magnitude of the racquetball's change in momentum?

Answers

The magnitude of the racquetball's change in momentum is 0.59 kgm/s approximately.

Given that a racquetball with a mass of 42 g is moving with a horizontal speed of 7 m/s to the right (+x direction).

mass m  = 42g = 42/1000 = 0.042kg

initial velocity before collision u = 7 m/s

It hits the wall of the court and rebounds to the hitter with a horizontal speed of 7m/s to the left (-x direction). That is,

velocity after collision v = 7 m/s

To calculate the magnitude of the racquetball's change in momentum, we will use the formula below

Change in momentum = Mv - Mu

Since momentum is a vector quantity, we will consider the direction.

Change in momentum = 0.042 x 7 - ( 0.042 x - 7)

Change in momentum = 0.294 + 0.294

Change in momentum = 0.588 kgm/s

Therefore, the magnitude of the racquetball's change in momentum is 0.59 kgm/s approximately.

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plz help
Suppose one of the three students in Guided Example 7.6 stops pushing the car after 6.00 s. In this case the force exerted on the car is 305 N for the first 6.00 s and 215 N for the second 6.00 s.
(a) What is the final momentum of the car?
(b) What is the final speed of the car?

Answers

Answer:

520 n is the final momentum of the car and is also the final speed of the car

Explanation:

The final momentum is 250 newton.

What is momentum?

Momentum is the result of a particle's mass and velocity. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force applied on a particle is equal to the time rate of change of momentum.

According to Newton's second law, if a particle is subjected to a constant force for a specific amount of time, the result of the force and time (referred to as the impulse) is equal to the change in momentum.

On the other hand, a particle's momentum represents the length of time needed for a consistent force to bring it to rest.

Therefore, The final momentum is 250 newton.

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As a satellite is accelerated away from the Earth by a rocket, the satellite's mass ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
increases
remains the same
decreases

Answers

The mass of the satellite will remain the same when it is accelerated away from the Earth.

The mass of an object is a scalar quantity. This implies that mass of an object can be completely described with magnitude only.

The mass of every object in the universe is independent of the gravity and will always maintain the same value from place to place.

Thus, we can conclude that, the mass of the satellite will remain the same when it is accelerated away from the Earth.

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describe the components of soil​

Answers

Soil contains air, water, and minerals as well as plant and animal matter, both living and dead. These soil components fall into two categories. ... Other, less common minerals include calcium, magnesium, and sulfur. The biotic and abiotic factors in the soil are what make up the soil's composition.

Facts about soil: Soil is a mixture of organic matter, minerals, gases, liquids, and organisms that together support life.

What does soil do to our earth: Advances in watershed, natural resource, and environmental sciences have shown that soil is the foundation of basic ecosystem function. Soil filters our water, provides essential nutrients to our forests and crops, and helps regulate the Earth's temperature as well as many of the important greenhouse gases.

Soil is a material composed of five ingredients — minerals, soil organic matter, living organisms, gas, and water. Soil minerals are divided into three size classes — clay, silt, and sand (Figure 1); the percentages of particles in these size classes is called soil texture.Soil contains air, water, and minerals as well as plant and animal matter, both living and dead. These soil components fall into two categories. ... Other, less common minerals include calcium, magnesium, and sulfur. The biotic and abiotic factors in the soil are what make up the soil's composition.

How long will it take a projectile to hit the ground if it is launched at 4.2 m/s off a 12.6 m high platform?

Answers

Answer: 3

Explanation:

I think you are supposed to divided in those problems? I'm not sure but if you aren't then please let me know. The equation I did was:

12.6 / 4.2 = 3

Hope this helps!! :)

Va A rail wagon of mass
5000 kg moving at a velocity
of 1.6 ms-1 collides with a
stationary wagon of mass
3000 kg (see Figure 4). After
the collision, the 3000 kg wagon
moves away at a velocity of
1.5 ms-1. Calculate the speed
and direction of the 5000 kg
wagon after the collision.

Answers

Answer:

0.7m/s

Explanation:

According to the conservation of linear momentum, the moment before a collision is equal to the moment after the collision. The equation is written as follows: [tex]m_{a}u_{a} + m_{b}u_{b} = m_{a}v_{a} + m_{b}v_{b}[/tex], where [tex]m[/tex] is the mass of the object, [tex]u[/tex] is the initial velocity, and [tex]v[/tex] is the final velocity.

Let's say the object [tex]a[/tex] is our moving wagon and the object [tex]b[/tex] is our stationary wagon. [tex]m_{a} = 500kg, u_{a} = 1.6ms^{-1}[/tex],  [tex]m_{b} = 3000kg, u_{b} = 0[/tex], since the wagon is stationary, it doesn't have any initial velocity. After collision, the mass remains the same, but the velocity changes: [tex]v_{a} = ?, v_{b} = 1.5ms^{-1}[/tex]

We can observe that [tex]v_{a}[/tex] is what we're looking for according to the question. Now let's substitute our values.

[tex](5000 * 1.6) + (0) = 5000v_{a} + (3000 * 1.5)[/tex]

[tex]v_{a} = \frac{(5000 * 1.6) - (3000*1.5)}{5000}[/tex] = 0.7m/s

which distance indicator can be used to measure the most distant objects?

Answers

The distance indicator can be used to measure the most distant objects among all indicators stated above is Type Ia supernovae

In the field of Astronomy, there are different kind of distance indicators that can be used to measure the distance objects.

Few among them are :

Cepheids Type Ia supernovae Parallax Main-sequence fitting

Cepheid variables can be measured up to 18 million light years.

The expansion rate of the universe can also be measured by trying to measure the apparent brightness of the Type Ia supernovae

Parallax means illusory state of an object when viewed from different points

Main sequence fitting makes use of a H-R diagram of the cluster to determine the distance to a stellar cluster.

The distance indicator can be used to measure the most distant objects among all indicators stated above is Type Ia supernovae

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pls answer this question is due today​

Answers

Answers:Speed for section A = 15 km per hourSpeed for section B = 0 km per hourSpeed for section C = 60 km per hourSpeed for section D = 40 km per hour

=============================================

Explanation:

To compute the speed, we divide the distance traveled over the time duration.

For instance, if a car goes 100 km in 5 hours, then its speed is 100/5 = 20 km per hour.

-----------------

For section A, the car travels 30 km over the course of 2 hours (since 11:00-9:00 = 2:00)

speed = distance/time = (30 km)/(2 hrs) = 15 km/hr

-----------------

We don't need to do any computations for section B. It's a flat horizontal line, so the speed is zero. There's no change in distance, so the car is stationary for this 1 hour period.

You could say speed = distance/time = 0/1 = 0 km/hr if you wanted.

-----------------

For section C, its change in distance is 60-30 = 30 km and the change in time is 0.5 hour (because it spans from 12:00 to 12:30)

So, speed = distance/time = (30 km)/(0.5 hr) = 60 km/hr

The steeper slope of section C, compared to section A, means the car is going faster.

-----------------

Section D spans from 12:30 to 14:00. This is a time period of 14:00-12:30 = 1:30 = 1.5 hours. The change in distance is 60 km

(60 km)/(1.5 hrs) = 40 km/hr

The speed of the car during section D is 40 km per hour.

Side note: if you were talking about velocities instead of speeds, then section D would have a negative velocity of -40 km/hr to indicate the car is going the opposite direction (compared to sections A and C). However, speed is always nonnegative.

Why does calcium chloride have a greater affect on colligative properties verses sodium
chloride?

Answers

Answer:

Calcium chloride is very effective, working at temperatures below most products, and is significantly more effective than sodium chloride because of its ability to extract moisture from its surroundings and to cause exothermic or heat generating reactions.

Explanation:

Hope this helps

Please help if you can

Answers

Answer:

The answer is B

Explanation:

Because when the both sides aren't balanced one side has to cause motion. (fall down)

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