a disk rotates at a rate of 3 rad/s what is the linear velocity of a point 3 cm from the center of the disk

ANSWER:

Option (A) is right by focusing the sun in their refracting telescope

STEP-BY-STEP EXPLANATION:

There are numerous larger telescopes that are used on the ground, which typically have special filters to block out the damaging parts of the Sun's light.

Answer:

okay

Explanation:

why don't you have any question in this app?

Answer:

Explanation:

Comets are balls of ice and dust in orbit around the Sun. The orbits of comets are different from those of planets - they are elliptical. A comet's orbit takes it very close to the Sun and then far away again.

The cost of operation for an A.C for 10 hours per day for a month will be 71,100 francs.

Power is the amount of energy transferred or converted per unit time. The unit of power is the watt, equal to one joule per second. Power is a scalar quantity.

Cost of operation for 10 hours a day;

Daily consumption = 3kW x 10 hours

Daily Consumption = 30kW

Since 1kWH = 79 francs;

Daily consumption amount = 30 x 79 francs

Daily consumption amount = 2,370 francs

Therefore, the monthly consumption (using 30days) will be;

2,370 francs x 30 = 71,100 francs

In conclusion, 71,100 francs will be spent in a month (30 days) to run the 3kW rated A.C for 10 hours a day at 1kWH.

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The velocity of the autographed baseball before it fell off the table is 1.89 m/s

We'll begin by obtainig the time taken for the autographed baseball to strike the floor. This can be obtained as follow:

h = ½gt²

1.4 = ½ × 9.8 × t²

1.4 = 4.9 × t²

Divide both side by 4.9

t² = 1.4 / 4.9

Take the square root of both side

t = √(1.4 / 4.9)

t = 0.53 s

The initial velocity of the ball can be obatined as illustrated below:

s = ut

1 = u × 0.53

Divide both sides by 0.53

u = 1 / 0.53

u = 1.89 m/s

Thus, we can conclude that the velocity of the ball before it fell off the table is 1.89 m/s

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Elements combine to form compounds. The correct answer is A.

Elements combine with each other in chemical reactions to form compounds. A compound is a substance composed of two or more different elements chemically combined in a fixed ratio by mass. For example, water is a compound composed of hydrogen and oxygen in a fixed ratio of 2:1 by mass.

B. Molecules are formed when two or more atoms combine chemically, but these atoms can be of the same element or different elements. For example, oxygen gas (O2) is a molecule composed of two oxygen atoms.

C. Atoms are the smallest unit of matter that retains the properties of an element. Atoms do not combine to form other atoms or compounds.

D. Mixtures are composed of two or more substances physically mixed together, but the substances retain their individual properties and can be separated by physical means. Mixtures are not formed by the chemical combination of elements. Examples of mixtures include air and saltwater.

Therefore, The correct answer is option A.

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According to the question the soccer ball was in the air for a total of 2.26 seconds.

Air is a mixture of gases made up of nitrogen (78%), oxygen (21%), and other trace gases like argon and carbon dioxide (1%). This mixture of gases makes up a unseen fluid we call air. It is all around us, surrounding us and filling the space between us and the Earth.

The time that the soccer ball was in the air can be determined using the kinematic equations of motion. First, we need to calculate the initial vertical and horizontal velocity components of the ball when it is kicked. The vertical velocity component is given by Vy = V*sin(angle) = 15.6 m/s * sin(52.5°) = 11.2 m/s.

The horizontal velocity component is given by Vx = V*cos(angle) = 15.6 m/s * cos(52.5°) = 9.2 m/s.

Now we can solve for time using the equation t = (2*Vy)/g, where Vy is the vertical velocity component and g is the acceleration due to gravity (9.8 m/s2). Thus, t = (2*11.2 m/s)/9.8 m/s2 = 2.26 s.

Therefore, the soccer ball was in the air for a total of 2.26 seconds.

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OD

Explanation:

both gravitational force and speed will increase

The gravitational force will increase and speed will decrease. So, the correct option is c.

Any two objects in the universe are attracted towards each other by the gravitational force, regardless of whether their masses are equal or not.

Here,

Newton's universal law of gravitation states that the force of attraction between any two bodies is inversely proportional to the square of the distance between them and directly proportional to the product of their masses.

So, the gravitational force of the satellite,

F ∝ 1/R²

where R is the radius of the circular orbit.

The equation for speed of the satellite is given by,

v = √Rg

where g is the acceleration due to gravity.

So, the speed is directly proportional to the square root of the radius of the orbit.

v ∝ √R

Therefore, as a result of the decrease in the radius of the orbit, the gravitational force of the satellite will increase, and its speed will decrease.

Hence,

The gravitational force will increase and speed will decrease.

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The magnitude of the magnetic force on a proton is 1.68 ✕ 10^−16 N, directed towards the negative y-direction. The magnitude of the magnetic force on an electron is also 1.68 ✕ 10^−16 N, but directed towards the positive y-direction.

Begin by using the formula for the magnetic force on a charged particle moving in a magnetic field:

F = q * v * B * sin(θ)

where F is the magnetic force, q is the charge of the particle, v is the velocity of the particle, B is the magnetic field strength, and θ is the angle between the velocity vector and the magnetic field vector.

For a proton, the charge is +e, where e is the elementary charge (1.6 ✕ 10^−19 C). The velocity of the proton is given as 3.99 ✕ 10^5 m/s in the positive x-direction. The magnetic field strength is 2.93 ✕ 10^−8 T in the positive z-direction.

The angle θ between the velocity vector and the magnetic field vector is 90 degrees since the velocity is perpendicular to the magnetic field.

Substituting the values into the formula, we get:

F_proton = (+e) * (3.99 ✕ 10^5 m/s) * (2.93 ✕ 10^−8 T) * sin(90°)

F_proton ≈ 1.68 ✕ 10^−16 N

Since the proton has a positive charge, the magnetic force is directed opposite to the direction of electron flow, which is in the negative y-direction.

Repeat the steps for an electron, but note that the charge is -e. The direction of the force on an electron will be opposite to that of a proton.

F_electron = (-e) * (3.99 ✕ 10^5 m/s) * (2.93 ✕ 10^−8 T) * sin(90°)

F_electron ≈ -1.68 ✕ 10^−16 N

The force on an electron is also 1.68 ✕ 10^−16 N, but directed towards the positive y-direction.

Remember to consider the proper units and take into account the directions of charge, velocity, and magnetic field when calculating the magnetic force on a charged particle.

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The work done by a 20-newton force applied at an angle of 45.0° is 565.69 J.

Calculation:-

Force = 20 N

distance = 40 meters

angle = cos 45°

Work done = F.d cosθ

                 = 20×40 × 1/√2

                 = 800 / √2

                =  565.69 J

Force is a push or pulls upon an item because of the object's interaction with some other object. pressure is a power that can exchange the motion of an object. A force can reason an object with mass to alternate its speed, i.e., to boost up. pressure also can be described intuitively as a push or a pull. A force has each significance and course, making it a vector amount.

The phrase 'Force' has a unique meaning. At this degree, it is absolutely appropriate to describe a force as a push or a pull. A force is not something that an object consists of or 'has in it. A force is exerted on one object through another. The concept of a force isn't always restricted to living matters or non-living matters.

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Answer:

b. the cylinder

Explanation:

From the information given:

We understood that the mass of the sphere, cylinder, and rod length is the same with the same angular speed.

Taking their moments:

For the solid sphere; \(\text{The moment of inertia :}\) \(I_s\) = \(\dfrac{2}{5} \times m \times r^2\)

The moment of inertia of the cylinder, \(I_c = 0.5\times m \times r^2\)

The moment of inertia of rod, \(I_r =\dfrac{ m * r^2 }{12}\)

The rotational kinetic energy is directly corresponding to the moment of inertia.

Thus, the cylinder has the greatest rotational kinetic energy.

The types of chemical reactions are as follows:

Chemical reactions are changes in which new substances are formed.

The types of chemical reactions are as follows:

In conclusion, chemical reactions produce new substances.

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Elements are arranged on the periodic table in terms of valence electrons based on their atomic number and electron configuration.

1. Elements are arranged on the periodic table in terms of valence electrons based on their atomic number and electron configuration. The valence electrons are the outermost electrons in an atom's electron shell, and they are crucial in determining the chemical properties and reactivity of elements.

2. Evidence from data tables can be shown by examining the electron configuration and the group and period numbers of various elements on the periodic table. Here is a simplified example:

Element   | Electron Configuration | Group | Period |

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

Hydrogen  | 1s^1                              | 1     | 1      |

Lithium       | [He] 2s^1                     | 1     | 2      |

Carbon       | [He] 2s^2 2p^2          | 14    | 2      |

Oxygen      | [He] 2s^2 2p^4          | 16    | 2      |

Neon          | [He] 2s^2 2p^6          | 18    | 2      |

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

3. The evidence from the data table supports the claim that the arrangement of elements on the periodic table is based on valence electrons.

- Group Trend: Elements within the same group (vertical columns) share the same number of valence electrons. In the example table, Hydrogen, Lithium, and Neon are all in Group 1, indicating they have 1 valence electron.

- Period Trend: Elements within the same period (horizontal rows) have the same number of electron shells. In the example table, Hydrogen and Lithium are in Period 1, indicating they have their valence electron in the first energy level. Carbon, Oxygen, and Neon are in Period 2, indicating they have their valence electrons in the second energy level.

By examining the electron configurations, group numbers, and period numbers, we can clearly see the trends and patterns in the number of valence electrons for both groups and periods on the periodic table. This evidence supports the claim that the arrangement of elements on the periodic table is based on their valence electrons, which play a crucial role in determining their chemical behavior and properties.

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You must be at least 0.54 meters (or about 1.8 feet) away from the cable to experience a magnetic field less than the Earth's magnetic field.

A magnetic field is a physical field generated by moving electric charges or the intrinsic magnetic moments of elementary particles associated with their spin. A magnetic field is a vector field, which means that it has both magnitude and direction. It can exert a force on other moving charges or magnetic materials, causing them to experience a magnetic force.

In the classical picture, a magnetic field is created by a magnet or by a moving electric charge, such as an electric current. The strength of the magnetic field at a given point is proportional to the magnitude of the current or the strength of the magnet, and it decreases with distance from the source.

To calculate the distance from the cable at which the magnetic field is less than the Earth's magnetic field, we can use the formula for the magnetic field around a long, straight wire:

B = μ0 * I / (2πr)

where B is the magnetic field, μ0 is the permeability of free space (4π x  10⁻⁷T m/A), I is the current, and r is the distance from the wire.

Rearranging the formula, we get:

r = μ0 * I / (2π * B)

Plugging in the given values, we get:

r = (4π x 10⁻⁷T m/A) * 135 A / (2π * 5.00 x 10⁻⁵ T)

r = 0.54 meters

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Answer:

See below

Explanation:

Velocity calculation:

  vf = vo + a t        vf = final velocity    vo = original velocity   a = acceleration

      = 12  +  4 ( 3) = 24 m/s

Displacement /Distance equation :

df = do + vo t      + 1/2 a t^2

       0  +  12 ( 3)  + 1/2 ( 4) ( 9) =  54 m    < === OP

The total force applied to the roller can be obtained as,

The work done by the gardner can be given as,

Substitute the known values,

Thus, the work done by the gardener is 1340.64 J.

Explanation:

To determine the effort needed to lift a load of 200N, given a velocity ratio of 5 and an efficiency of 80%, we can use the formula:

Efficiency = (Output Work / Input Work) * 100

Efficiency can also be calculated as the ratio of the output force to the input force. In this case, the output force is the load being lifted (200N), and the input force is the effort required.

Given that the velocity ratio is 5, it means that for every 5 units of distance the effort moves, the load moves 1 unit of distance. This implies that the effort is exerted over a greater distance than the load.

Let's denote the effort force as "E" and the distance moved by the effort as "dE." Similarly, the load force is "L," and the distance moved by the load is "dL."

Using the velocity ratio, we have the following relationship:

dE / dL = 5

Now, we can calculate the input work (Wi) and the output work (Wo):

Input Work (Wi) = Effort (E) * Distance moved by the effort (dE)

Output Work (Wo) = Load (L) * Distance moved by the load (dL)

Given that the efficiency is 80%, we can rewrite the formula for efficiency as:

0.80 = (Wo / Wi) * 100

Now, let's solve for the effort (E) using the given values:

Load (L) = 200N

Efficiency = 0.80

Velocity Ratio = 5

First, calculate the output work (Wo):

Wo = Load (L) * Distance moved by the load (dL)

Since the velocity ratio is 5, the distance moved by the load (dL) will be 1/5 of the distance moved by the effort (dE):

dL = (1/5) * dE

Wo = L * (1/5) * dE

Wo = 200N * (1/5) * dE

Wo = 40N * dE

Next, calculate the input work (Wi):

Wi = Effort (E) * Distance moved by the effort (dE)

Wi = E * dE

Now, substitute the values into the efficiency formula:

0.80 = (Wo / Wi) * 100

0.80 = (40N * dE) / (E * dE) * 100

0.80 = 40 / E * 100

0.80 * E = 40

E = 40 / 0.80

E = 50N

Therefore, the effort needed to lift a load of 200N with a velocity ratio of 5 and an efficiency of 80% is 50N.

Answer:

E = 75 J

Explanation:

First, we will calculate the total power consumed by the five lamps:

\(Total\ Power = P = (5)(Power\ of\ one\ lamp)\\P = (5)(3\ W)\\P = 15\ W\)

Now, the energy supply can be calculated as follows:

\(E = Pt\)

where,

E = Energy = ?

t = time = 5 s

Therefore,

E = (15 W)(5 s)

E = 75 J

The correct answers are: a) The rod is negatively charged and d) The rod is positively charged.

When the sphere is brought near the upper end of the rod and the rod rotates clockwise, this indicates that the sphere has a positive charge.

When the sphere is brought to point X near the lower end of the rod and the rod rotates counterclockwise, this also indicates that the sphere has a positive charge.

The other two options are not correct. The rod is not uncharged, because it has a charge when the sphere is brought near it. The rod also does not have no net charge until the sphere is brought near it, because it has a charge when the sphere is brought near it.

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Answer:

the magnetic field of the solenoid will remain same.

Explanation:

The magnetic field of a solenoid is given by the following formula:

\(B = \frac{\mu_o NI}{l}\)

where,

B = magnetic field

μ₀ = permeability of free space

N = total number of coils

I = current passing through the solenoid

L = length of the solenoid

The formula clearly shows that the radius of the solenoid has no effect on the magnetic field produced by it.

Therefore, the magnetic field of the solenoid will remain same.

Answer:

Explanation:

Emf e generated in a coil with no of turn n and area A rotating in a magnetic field B  with angular speed of ω is given by the expression

e = e₀ sinωt

where e₀ = nωAB which is the maximum emf generated

Putting the given values

15.7 = 1000xω x 20 x 10⁻² x 5

ω = .0157

frequency of rotation

= ω / 2π

= .0157 / 2 x 3.14

= .0025 /s

9 rotation / hour .

Earth satellite whose height is 35786 km them the distance velocity is 11,300 km/h.

Satellite is defined as a piece of technology that is launched into space and orbits the earth or another planet with a specific purpose. An object that orbits a larger object can be referred to as a satellite.

The equation for estimating the speed for the orbital velocity of a satellite is derived using the centripetal force and gravitation equations. The spacecraft would need to maintain a velocity of roughly 11,300 km/h in order to complete one orbit of the earth, which is located nearly 35,786 km above the surface of the planet.

Thus, earth satellite whose height is 35786 km them the distance velocity is 11,300 km/h.

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Answer:

a) ΔS = 14.46 J/k

b) ΔS = 70.76 J/k

Explanation:

The general formula to calculate the entropy change accompanied with a process is:

ΔS = ΔQ/T

where,

ΔS = entropy change for the process

ΔQ = Heat Transfer during the process

T = Absolute Temperature during the process

a)

In this case the heat transfer will be given as:

ΔQ = (ΔHfus)(N)

where,

ΔHfus = Molar Heat of Fusion of Tin = 7.029 KJ/mol

N = No. of moles of tin = 1 mol

Therefore,

ΔQ = (7.029 KJ/mol)(1 mol)

ΔQ = 7.029 KJ = 7029 J

and the absolute temperature is:

T = 213°C +273 = 486 k

using these values in the entropy formula, we get:

ΔS = 7029 J/486 k

ΔS = 14.46 J/k

b)

In this case the heat transfer will be given as:

ΔQ = (ΔHvap)(N)

where,

ΔHvap = Molar Heat of Vaporization of Carbon Dioxide = 15.326 KJ/mol

N = No. of moles of Carbon Dioxide = 1 mol

Therefore,

ΔQ = (15.326 KJ/mol)(1 mol)

ΔQ = 15.326 KJ = 15326 J

and the absolute temperature is:

T = 216.6 k

using these values in the entropy formula, we get:

ΔS = 15326 J/216.6 k

ΔS = 70.76 J/k

Answer:

Its  the temperature and density of that element in the star

Explanation:

Answer:

Explanation:

ME initial = ME final

PE initial + KE initial = PE final + KE final

There's no kinetic energy the moment Jorge is at the top of the ramp therefore KE initial = 0

PE initial = PE final + KE final

Assuming the bottom of the ramp is h = 0 we can then say PE final = 0

PE initial = KE final

Write the equations out.

mgh = (.5)mv^2

They tell us potential energy is 6000J therefore that portion of the equation is already "solved"

6000 = (.5)mv^2

Plugin the values

6000 = (.5) 70 v^2

Solve for v

6000 = 35v^2

171.43 = v^2

13.1 = v at the bottom of the slope

Solving for KE we get

(.5) m v^2

Plugin the value from the previous problem and solvee!

Answer:

0 atomic mass because it widens as the numerical value represents

Answer: ATOMIC MASS

Explanation:

I got it right

Answer:

force needed for the bus to go round the corner is 50,000 N.

Explanation:

To find the force needed for the bus to go round the corner, we can use the formula for centripetal force:

F = (mv^2)/r

where F is the centripetal force, m is the mass of the object, v is the velocity of the object, and r is the radius of the circular path.

Plugging in the values given in the problem, we get:

F = (2500 kg)(5 m/s)^2 / 50 m

= 50,000 N

So the force needed for the bus to go round the corner is 50,000 N.

Answer:

R1 + R2 = R = 12 for resistors in series - so R1 = R2 if they are identical

2 R1 = 12         and R1 = R2 = 6 ohms

1 / R = 1 / R1 + 1 / R2     for resistors in parallel

R = R1 * R2 / (R1 + R2) = 6 * 6 / (6 + 6) = 3

The equivalent resistance would be 3 ohms if connected in parallel

Answer:

Calcium is an essential mineral that is important in the diet of many living things as it plays several important roles in the body:

1. Bone and teeth formation: Calcium is a key component of bones and teeth, making them strong and healthy.

2. Muscle function: Calcium plays a critical role in muscle contraction and relaxation, helping muscles function properly.

3. Nerve function: Calcium is involved in the transmission of nerve impulses, which allows for proper communication between nerve cells.

4. Blood clotting: Calcium is required for blood clotting, which is important for preventing excessive bleeding after an injury.

5. Cellular signaling: Calcium is involved in many cellular signaling pathways, helping to regulate various physiological processes in the body.

Therefore, having an adequate amount of calcium in the diet is crucial for the overall health and well-being of many living organisms.