What is the arc length subtended by an angle of 30 degrees on a circle of radius 10 cm?

Answer:

A is the answer

Explanation:

come on man

Complete question is;

A cylinder of compressed gas is at a temperature of 23°C. It is cooled until it reaches the pressure of 2000kPa. It has to be cooled to 90K before this happens. Calculate the starting pressure of the gas

Answer:

Starting pressure = 604 KPa

Explanation:

We are given;

Initial temperature; T1 =23°C = 298 K

Final temperature; T2 = 90 K

Final pressure; P2 = 2000 KPa

From gay lussac's law, we know that;

P1•T1 = P2•T2

P1 = (P2•T2)/T1

P1 = (2000 × 90)/298

P1 ≈ 604 KPa

Answer:

11 km/s

Explanation:

v=s/t

v=825km/75s

v=11km/s

Sally Sue and her partner held the ends of a spring 4.00 meters apart. When the spring was set into motion, it produced a standing wave with 5 nodes. Sally Sue moved her hand from the rest position back and forth along the floor 20 times in 4.00 s. From this data, we can calculate some properties of the standing wave:

The wavelength of the standing wave can be found by dividing the distance between the ends of the spring by the number of segments, which is equal to the number of nodes plus one. In this case, the wavelength is (4.00 m)/(5+1) = 0.67 m. The frequency of the standing wave can be found by dividing the number of hand motions by the time it took to complete them. In this case, the frequency is (20 motions)/(4.00 s) = 5.0 Hz. The speed of the wave can be found by multiplying the wavelength by the frequency. In this case, the speed is (0.67 m)(5.0 Hz) = 3.4 m/s.This is just a brief overview of the data that can be collected from the scenario you provided.

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Answer:

60 - 45 = A. 15

Explanation:

Subtracted because the plane mirror at an angle is incidence of 60°, so then in order to find the value it would be 60-45 and not adding it or dividing and multiplying to find the value thus the answer is 15.

60 - 45 = A. 15. Subtracted because the plane mirror at an angle is incidence of 60°, so then in order to find the value it would be 60-45 and not adding it or dividing and multiplying to find the value thus the answer is 15.

A flat or highly polished surface called a plane mirror reflects light or waves to create an image. It is a polished, smooth surface that creates a virtual representation of the actual object.

A plane mirror is a surface on which an image can only be produced by at least two light beams. The intersection of these two beams can occur inside the mirror or appear to occur somewhere behind the mirror.

The image that follows illustrates how an object appears when viewed via a plane mirror.

Therefore, 60 - 45 = A. 15. Subtracted because the plane mirror at an angle is incidence of 60°, so then in order to find the value it would be 60-45 and not adding it or dividing and multiplying to find the value thus the answer is 15.

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Water is a fascinating substance that plays a critical role in many areas of science, including chemistry, biology, and physics. Depending on the experiment you are referring to, it may tell you about the physical or chemical properties of water, its behavior under different conditions, or its interactions with other substances.

an experiment that examines the melting point or boiling point of water can tell us about the unique properties of water that allow it to exist in a liquid state over a wide range of temperatures. An experiment that looks at the pH of water can tell us about its acidity or basicity, which is important for understanding how it interacts with other substances in the environment.

Other experiments may look at how water interacts with other substances, such as how it dissolves salt or sugar, or how it interacts with biological molecules like proteins and DNA. These experiments can tell us a lot about the properties of water and how it plays a critical role in many biological and chemical processes.

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Answer:

ayyyyyyyyyyy

Explanation:

thanks

Explanation:

more massive objects will attract each other with a greater gravitational force.

Answer:

yes

Explanation:

Explanation:

In a transverse wave the particle displacement is perpendicular to the direction of wave propagation. The particles do not move along with the wave; they simply oscillate up and down about their individual equilibrium positions as the wave passes by.

Hurricanes are powerful tropical cyclones that form over warm ocean waters. They are characterized by strong winds, heavy rainfall, and storm surges, and can cause significant damage and loss of life.

The increase in dead plant material in bodies of water due to hurricanes is likely to result in a higher nutrient content in the water, which can lead to increased algae growth and decreased oxygen levels. This can also have negative effects on the aquatic ecosystem and the organisms that rely on it. Additionally, the buildup of dead plant material can increase the risk of flooding and water pollution.

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What is meant by the number of complete oscillation made by an oscillating body in 10 seconds is 500 complete oscillations is that the  frequency of the oscillating body is 50Hz

Frequency of an oscillating body can be defined as the number of complete oscillations per unit time

Frequency is measured in hertz (Hz).

Also, the frequency of 1Hz is one oscillation per second.

frequency = number of oscillations/ time taken

frequency = 500/10 = 50 Hz

Thus, what is meant by the number of complete oscillation made by an oscillating body in 10 seconds is 500 complete oscillations is that the  frequency of the oscillating body is 50Hz

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The minimum gap between the automobiles is 16.9 feet, according to the supplied statement, in order to prevent a collision.

The size or extent of the displacement between two points is referred to as distance. Keep in mind that perhaps the difference between two and indeed the distance travelled between them are not the same. The length of the entire journey taken to go from one point to another is the distance travelled.

For B;

\(\begin{aligned}(\rightarrow) \quad v & =v_0+a_c t \\v_B & =60-12 t \\(\rightrightarrows) & s=s_0+v_0 t+\frac{1}{2} a_c t^2 \\s_B & =d+60 t-\frac{1}{2}(12) t^2\end{aligned}\)

For A;

\(\begin{aligned}& (\stackrel{\rightarrow}{\rightarrow}) \quad v=v_0+a_c t \\& v_A=60-15(t-0.75), \quad[t > 0.75] \\& (\text { 土 }) \quad s=s_0+v_0 t+\frac{1}{2} a_c t^2 \\& \qquad s_A=60(0.75)+60(t-0.75)-\frac{1}{2}(15)(t-0.75)^2, \quad[t > 0.74]\end{aligned}\)

Require \(V_{A} = V_{B}\) the moment of closest approach

60 - 12t = 60 - 15 ( t- 0.75)

t = 3.75 s

The worst case scenario without contact is when \(S_{A} = S_{B}\)

At t = 3.75 s, from eq. (1) and (2),

60(0.75) + 60(3.75 - 0.75) - 7.5(3.75 - 0.75)² = d + 60(3.75) = 6(3.75)²

157.5 = d + 140.62

d = 16.9 ft

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Time period=7.1s

\(\boxed{\sf Frequency=\dfrac{1}{Time\:Period}}\)

\(\\ \tt\longmapsto Frequency=\dfrac{1}{7.1}\)

\(\\ \tt\longmapsto Frequency=0.14Hz\)

A lighthouse flashes every 7.1 seconds then the frequency would be 0.1408  hertz.

It can be defined as the number of cycles completed per second. It is represented in hertz and inversely proportional to the wavelength.

C=λν

As given in the problem, if a lighthouse flashes every 7.1 seconds we have to find out its frequency,

The time interval between the flashing of the light from the lighthouse =  7.1 seconds

The frequency of the flashing of light from the lighthouse = 1/ 7.1 seconds

                                                                                                =0.14084

Thus, if a lighthouse flashes every 7.1 seconds then the frequency would be 0.1408  hertz.

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According to Law of Conservation of energy ,

One form of energy is transformed into another form of energy and there is no loss of energy in the transformation process.

The law of conservation of energy states that the energy can neither be created nor be destroyed only converted from one form of energy to the other form of energy means that the system always has the same amount of energy , unless its's added from the outside.

The only way to use energy is to transform energy from one form to another form.

example - Heat energy is transformed into Kinetic and Potential energy.

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Answer:

Speed describes how fast an object moves. Speed is \(\dfrac{\rm distance \,\,travelled}{\rm time \,\,taken}\)described by using a scalar with a magnitude but no direction.

Velocity is \(\dfrac{\rm change\,\,in\,\,displacement}{\rm time \,\,taken}\)described by using a vector which has both a magnitude and a direction

Velocity is speed in a given direction.

Done

Explanation:

The journal entry to record the issuance of 10,000 shares of $1 par value common stock at $10 per share would include the following:

Debit: Cash - $100,000

This represents the amount received from the sale of the shares.

Credit: Common Stock - $10,000

This represents the par value of the shares issued.

Credit: Additional Paid-in Capital - $90,000

This represents the excess amount received above the par value per share. It is calculated as the difference between the total cash received and the par value of the shares.

The journal entry is as follows:

Cash $100,000

Common Stock $10,000

Additional Paid-in Capital $90,000

The debit to cash reflects the increase in the company's cash balance from the sale of the shares. The credit to common stock records the par value of the shares, while the credit to additional paid-in capital records the additional amount received above the par value per share

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Answer: I believe it’s location D. Or whichever is the location of slow crystallization.

Explanation: Slow crystallization of magma forms granite. Hope this helps. :)

Answer:

D

Explanation:

Answer:

Student 2 (B)

Explanation:

ignore the explanation I need 20 characters to add an answer

Answer:

it'll be 0

Explanation:

If a sheet of aluminum foil is held in front of a radioactive source. Two types of radiation are detected on the other side. The alpha particle radiation will not be detected.

The ability of some unstable atoms to emit nuclear radiation spontaneously, typically in the form of alpha or beta particles frequently accompanied by gamma rays, is known as radioactivity.

As given in the problem statement, if a sheet of aluminum foil is held in front of a radioactive source. Two types of radiation are detected on the other side, then we have to find which type of radiation will not be detected on the other side.

When a radioactive source is in front of a sheet of aluminum foil. On the opposite side, radiation of two different sorts is seen. There won't be any indication of alpha particle radiation.

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Answer:

The starting height of the ball is approximately 0.604 m

Explanation:

The given parameters are;

The mass of the the ball = 0.050

The speed with which it travels through the top loop = 2 m/s

The given height at which the ball moves at 2 m/s = 0.40 m

Therefore, we have;

1/2·m·v² = m·g·h

1/2·v² = g·h

h = 1/2·v²/g = 1/2 × 2²/9.81 ≈ 0.204

The additional height = h = 0.204 m

Therefore;

The starting height of the ball  ≈ The given height at which the ball moves at 2 m/s + h

The starting height of the ball  ≈ 0.40 + 0.204 = 0.604 m

The starting height of the ball ≈ 0.604 m.

When any object in rest, then potential energy is present. But when object is in motion then object have kinetic energy.

Starting height of the ball is 0.604 m.

We know that, when any object is start from rest, then potential energy is converted into kinetic energy.

     \(\frac{1}{2}mv^{2} =mgh\)

Where m is mass of object, g is gravitational acceleration , h is height and v is velocity of object. (value of g = 9.81 m/ second square)

from above equation,

we get,     extra height        \(h=\frac{v^{2} }{2g} \\\\h=\frac{4}{2*9.81}\\\\h=0.204\) meter

The starting height of the ball will be sum of the height at which ball moves 2 m/s and extra height.

Starting height = 0.40 + 0.204 = 0.604 meter.

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Answer:

The correct option is;

How loud or soft the sound is

Explanation:

The loudness of a sound wave is given by the amount of energy that the pressure wave carries and it is measured in decibels (dB) which is the relative intensity of the pressure wave of a sound to the standard pressure

A loud sound has a high amplitude and a soft sound has a low amplitude, such that as the amplitude of the sound is increased, due to increased energy input, the sound becomes louder, and as the amplitude of the sound is decreased due to reduced energy input, the sound becomes softer.

Answer:

Explanation:

The amount of space between rock and soil that can hold water is known as porosity. Porosity is a measure of the void spaces in a material, typically expressed as a percentage of the total volume of the material. In other words, it's the ratio of the volume of pore space in a rock or soil to the total volume of the rock or soil.

The porosity of rock and soil can vary widely, depending on the type of rock or soil and the conditions under which it formed. For example, some types of rock, such as sandstone, have high porosity (around 30-40%) because they are composed mostly of grains of sand that are held together by a small amount of cement. Other types of rock, such as granite, have very low porosity (around 1-2%) because they are composed mostly of tightly packed mineral crystals.

Soil, on the other hand, can have a wide range of porosity depending on the soil type. Sandy soils tend to have higher porosity than clay soils, but even within a soil type, porosity can vary greatly depending on the soil structure, organic matter content, and other factors.

In general, the porosity of rock and soil can range from less than 1% to over 40%. In order to hold water, the porosity should be greater than zero.

The velocity of the car is: 15.24m/s.

To have the same momentum as a 2280kg pickup truck traveling at 21m/s to the east, a car with a mass of 1370kg must have a velocity of 15.24m/s to the east.

This can be calculated using the formula for momentum, which is:

Thus, we can rearrange the equation to solve for v: v = p/m.

Substituting in the values given, we get: v = (2280kg * 21m/s)/1370kg = 15.24m/s.

Velocity is a vector quantity that describes the rate and direction of an object's motion. It is the speed of an object in a particular direction and is usually expressed in units such as meters per second (m/s).

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During a tennis volley, the force pair involved is the action-reaction forces.

When playing tennis and returning a volley, the force pair involved is the action and reaction forces. In the process of hitting the ball, the tennis racket exerts a force on the ball, which is the action force.

The ball, in turn, exerts an equal and opposite force on the racket, which is the reaction force.Both the racket and the ball experience the force of impact during the volley.

The force applied by the racket causes the ball to move forward, while the equal and opposite force applied by the ball pushes the racket back.

These two forces are referred to as action-reaction forces or force pairs. A force pair refers to a pair of forces that are equal in magnitude but opposite in direction.

These forces always act on different objects and occur simultaneously. In this scenario, the action force was exerted by the tennis racket while the reaction force was exerted by the ball.

Therefore, during a tennis volley, the force pair involved is the action-reaction forces.

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Answer:

1840 J

Explanation:

From the question given above, the following data were obtained:

Specific heat capacity (C) = 0.46 J/gºC

Mass (M) = 50 g

Initial temperature (T₁) = 20 °C

Final temperature (T₂) = 100 °C

Heat (Q) required =?

Next, we shall determine the change in the temperature. This can be obtained as follow:

Initial temperature (T₁) = 20 °C

Final temperature (T₂) = 100 °C

Change in temperature (ΔT) =?

ΔT = T₂ – T₁

ΔT = 100 – 20

ΔT = 80 °C

Finally, we shall determine the heat required. This can be obtained as follow:

Specific heat capacity (C) = 0.46 J/gºC

Mass (M) = 50 g

Change in temperature (ΔT) = 80 °C

Heat (Q) required =?

Q = MCΔT

Q = 50 × 0.46 × 80

Q = 1840 J

Thus, 1840 J of heat energy is required.

We have a collar attached to a slender rod. The collar has a mass of 1 kg and is positioned at a distance of 250 mm from the end of the rod. The rod itself has a mass of 7 kg and a length of 500 mm. We are interested in finding the angular velocity of the rod after it has rotated through an angle of 90 degrees. To solve this,we will use principle of conservation of angular momentum, which states that the total angular momentum of a system remains constant in the absence of external torques.

Angular momentum is the rotational equivalent of linear momentum and is defined as the product of the moment of inertia and angular velocity. The moment of inertia depends on the mass distribution of an object.

To determine the angular velocity of the rod after it has rotated through 90 degrees, we need to calculate the initial and final angular momenta of the system.

Initial Angular Momentum: Before the rotation, the rod and collar are at rest, so the initial angular momentum of the system is zero.

Final Angular Momentum: After the rotation, the collar and rod are still rigidly attached, so their angular velocities will be the same. Let's denote the angular velocity of the collar and rod as ω (omega).

To calculate the final angular momentum, we need to determine the moment of inertia for both the rod and the collar. The moment of inertia depends on the mass and the distance of the mass from the axis of rotation.

a. Moment of Inertia for the Collar:

The collar is a point mass located at a distance of 250 mm from the axis of rotation (the end of the rod). The moment of inertia for a point mass is given by the formula:

I_collar = (m_collar) X (r_collar^2)

where m_collar is the mass of the collar and r_collar is the distance of the collar from the axis of rotation. Plugging in the values, we have:

I_collar = 1 kg X (0.25 m)^2 = 0.0625 kg·m²

b. Moment of Inertia for the Rod:

The rod is a slender object, and its moment of inertia depends on its shape and mass distribution. For a slender rod rotating about one end, the moment of inertia is given by the formula:

I_rod = (1/3) X (m_rod) X (L_rod^2)

where m_rod is the mass of the rod and L_rod is the length of the rod. Substituting the values, we get:

I_rod = (1/3) X 7 kg X (0.5 m^2) = 0.5833 kg·m²

Now, let's calculate the final angular momentum. Since the collar and rod have the same angular velocity, the angular momentum of both can be added together:

L_final = (I_collar X ω) + (I_rod X ω)

Since the initial angular momentum is zero, the final angular momentum must also be zero:

L_final = 0

Substituting the moment of inertia values, we have:

0 = (0.0625 kg·m² + 0.5833 kg·m²) X ω

Simplifying the equation, we get:

0 = 0.6458 kg·m² X ω

Dividing both sides by 0.6458 kg·m², we find:

0 = ω

Therefore, the angular velocity of the rod after it has rotated through 90 degrees is zero rad/s. This means that the rod comes to a stop at the final position after rotating through 90 degrees.

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Answer:

I think A. would be brighter

Explanation:

Circuit A has only one bulb so it gets 100% of the electricity

Circuit B has two bulbs which means that they only get 50% of the electricity because it has to be split equally.

Hope it helps!

Answer:

Option C. 1.8 A

Explanation:

We'll begin by calculating the equivalent resistance of the circuit. This can be obtained as follow:

Resistor 1 (R₁) = 20 Ω

Resistor 2 (R₂) = 30 Ω

Resistor 3 (R₃) = 10 Ω

Equivalent resistance (R) =?

R = R₁ + R₂ + R₃ (series connection)

R = 20 + 30 + 10

R = 60 Ω

Finally, we shall determine the current flowing through the circuit. This can be obtained as shown below:

Voltage (V) = 110 V

Equivalent resistance (R) = 60 Ω

Current (I) =?

V = IR

110 = I × 60

Divide both side by 60

I = 110 / 60

I = 1.8 A

Thus, the current flowing through the circuit is 1.8 A.