Puck A, of inertia mm, is attached to one end of a string of length ℓℓ , and the other end of the string is attached to a pivot so that the puck is free to revolve on a smooth horizontal surface. Puck B, of inertia 20m, is attached to one end of a string of length ℓ/4, and the other end of the string is attached to a second pivot so that BB is also free to revolve. In each case, the puck is held as far as possible from the pivot so that the string is taut and then given an initial velocity v perpendicular to the string.

How does the magnitude of the angular momentum of puck A about its pivot compare with that of puck B about its pivot?

Answers

Answer 1

Answer:

\(L_{B}\) / \(L_{A}\) = \(\frac{5mvl}{mvl}\)= 5

Explanation:

Find the given attachment

Puck A, Of Inertia Mm, Is Attached To One End Of A String Of Length , And The Other End Of The String
Answer 2

The definitions of angular momentum allow to find the result for the relationship between the two angular moments is:

           \(\frac{L_B}{L_A} = 5\)  

The angular momentum is the vector product of momentum and  vector position.

       L = r x p

Where the bold letters indicate vectors, r is the position vector and p the moment. In the body that is in a rotation can be written as a function of the moment of inertia and the angular velocity.

      L = I w

Linear and angular variables are related.

       v = w L

We substitute

         L = I v L

The moment of inertia of a disk with respect to its center is:

        I = ½ m r²

Let's write the angular momentum for each disk.

Disc A

          \(L_A\) = ½ \(m_A r^2 v_A L_A\)  

Disc B

           \(L_B\) = ½ \(m_B r^2 v_B L_B\)  

They indicate that the mass of disk A is m and that of disk b is 20m, the length of the string is l for disk A and l / 4 for disk B.

We substitute

           \(L_A\)  = ½ m r² v l

           \(L_B\)  = ½ (20m) r² v ( \(\frac{l}{4}\) )

The relationship between the angular moments is

          \(\frac{L_B}{L_A} = \frac{20m \frac{l}{4} }{m l}\\ \frac{L_B}{L_A} = 5\)  

Consequently using the definitions of angular momentum we can find the result for the relationship between the two angular moments is:

           \(\frac{L_B}{L_A} = 5\)

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Related Questions

What is the shape of a line graph that shows the temperature change over time of the liquid before it starts to boil.

Answers

The shape of a line graph displaying temperature change over time before boiling is typically linear and increasing.

In a line graph showing the temperature change over time of a liquid before it starts to boil, the shape is generally linear and increasing.

This is because as heat is applied to the liquid, its temperature increases at a consistent rate.

During this phase, the heat energy is used to increase the kinetic energy of the molecules in the liquid, causing a rise in temperature.

Once the boiling point is reached, the graph may show a plateau, as the energy is then used to change the liquid's state rather than further increase the temperature.

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What are "first principles? In cosmology

Answers

Answer:

 Principles of Cosmology is an innovative textbook designed for upper undergraduate and beginning graduate students in phyics and astronomy. It was published in 1997 by Addison-Wesley in Europe and Prentice Hall in the US. Sample Lectures: Opening Lecture (course introduction)

Explanation:I think

What strength of magnetic field is used in a cyclotron in which protons make 2.8×10^7 revolutions per second?

Answers

The magnetic field in the cyclotron, is 0.292 T.

Angular velocity, ω = 2.8 x 10⁷rev/s

Charge of a proton, q = 1.6 x 10⁻¹⁹C

Mass of a proton, m = 1.67 x 10⁻²⁷kg

A cyclotron is a device that strongly accelerates the charge on charged particles or ions. The cyclotron amplifies the energy of the charged particles through the application of both magnetic and electric fields.

The expression for the angular velocity of the cyclotron is given by,

ω = qB/m

Therefore, the magnetic field in the cyclotron,

B = ωm/q

B = 2.8 x 10⁷x 1.67 x 10⁻²⁷/1.6 x 10⁻¹⁹

B = 0.292 T

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True or false energy must be added to the gas element in order for light to be emitted .

A. True
B. False

Answers

Answer:

b is the answer of this qs

The answer is TRUE
Have a good day❤️

1)How fast is a ball moving when falling from rest and hits the ground 1.70
seconds later?

Answers

The final velocity of the ball is16.66 m/s.

Given the following data:

Initial velocity, U = 0 m/s (since the ball is falling from rest). Time, t = 1.70 seconds.

We know that acceleration due to gravity (a) for a ball in free fall is equal to 9.8 meter per seconds square.

To find how fast (velocity) the ball is moving, we would use the first equation of motion:

Mathematically, the first equation of motion is calculated by using the formula;

\(V = U + at\)

Where:

V is the final velocity. U is the initial velocity.a is the acceleration. t is the time measured in seconds.

Substituting the given parameters into the formula, we have;

\(V = 0 + 9.8(1.7)\)

\(V = 9.8\) × \(1.70\)

Final velocity, V = 16.66 m/s.

Therefore, the final velocity of the ball is16.66 m/s.

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If a snowboarder’s initial speed is 4 m/s and comes to rest when making it to the upper level. With a slightly greater initial speed of 5 m/s, the snowboarder is moving to the right on the upper level. His final speed in this case is 3 m/s. Suppose this situation is repeated on planet Epsilon, where gravity is less than gravity on earth.

A. Would the height of the hill on Epsilon cause a reduction in speed from 4 m/s to 0 greater than, less than, or equal to the height of the corresponding hill on earth? Explain.

B. Consider the hill on Epsilon discussed in part A. If the initial speed at the bottom of the hill is 5 m/s, will the final speed at the top of the hill be greater than, less than, or equal to 3 m/s? Explain.

Answers

(a) At a corresponding hill on Earth and a lesser gravity on planet Epslion, the height of the hill will cause a reduction in the initial speed of the snowboarder from 4 m/s to a value greater than zero (0).

(b) If the initial speed at the bottom of the hill is 5 m/s, the final speed at the top of the hill be greater than 3 m/s.

Conservation of mechanical energy

The effect of height  and gravity on speed on the given planet Epislon is determined by applying the principle of conservation of mechanical energy as shown below;

ΔK.E = ΔP.E

¹/₂m(v²- u²) = mg(hi - hf)

¹/₂(v²- u²) = g(0 - hf)

v² - u² = -2ghf

v² = u² - 2ghf

where;

v is the final velocity at upper levelu is the initial velocityhf is final heightg is acceleration due to gravity

when u² = 2gh, then v² = 0,

when gravity reduces, u² > 2gh, and v² > 0

Thus, at a corresponding hill on Earth and a lesser gravity on planet Epslion, the height of the hill will cause a reduction in the initial speed of the snowboarder from 4 m/s to a value greater than zero (0).

Final speed

v² = u² - 2ghf

where;

u is the initial speed = 5 m/sg is acceleration due to gravity and its less than 9.8 m/s²v is final speedhf is equal height

Since g on Epislon is less than 9.8 m/s² of Earth;

5² - 2ghf > 3 m/s

Thus, if the initial speed at the bottom of the hill is 5 m/s, the final speed at the top of the hill be greater than 3 m/s.

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a cube of pure copper has a mass of 25 kg. what is the volume of this cube of copper?

Answers

The volume of this cube of copper is 2790 cm³.

What is  density?

How firmly a material is packed together is determined by its density. The definition of it is the mass per unit volume.

Given parameter:

Mass of the pure copper cube: M = 25 kg = 25000 g.

We have to find; the volume of this cube of copper, V = ?

We know that density of pure material always remains constant and density of copper is 8.96 g/cm³ at room temperature.

So, the volume of this cube of copper, V = Mass of the pure copper cube/ density

= 25000/8.96 cm³

= 2790 cm³.

Hence,  the volume of this cube of copper is 2790 cm³.

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1. The smallest shift you can reliably measure on the screen is about 0.2 grid units. This shift corresponds to the precision of positions measured with the best Earth-based optical telescopes. If you cannot measure an angle smaller than this, what is the maximum distance at which a star can be located and still have a measurable parallax

Answers

Answer:

Explanation:

each grid corresponding  0.1s⁻¹.

0.2grid unit = 0.2×0.1 =0.02s⁻¹

distance of the star from telescope

d = 1/p

d= 1/0.02= 50 par sec

1par sec = 3.26 light year

1 light year = 9.5×10¹²km

3.26ly=3.084×10¹³km

d= 50×3.084×10¹³=1.55×10¹⁵km

Given the list of items, select all that are considered to be matter:
music
heat
air
dreams
water
gasoline
love
bacteria
thoughts

Answers

From the given list of items, examples of matter include, heat, air, water, gasoline, and bacteria.

What is matter?

Matter is a substance made up of various types of particles that occupies physical space and has inertia.

A matter must have mass and occupy space.

Examples of matter include the following;

heatairwatergasolinebacteria

Thus, from the given list of items, examples of matter include, heat, air, water, gasoline, and bacteria.

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What are the 3 least important cell parts and why

Answers

Answer:

The three main/basic parts of the cell are:

Cell Membrane (Plasma Membrane)

Cytoplasm

Nucleus

Explanation:

Each cell is surrounded by a lipid-rich Cell membrane (also called the Plasma Membrane) that forms a boundary between the cell and its environment.

The membrane encloses the Cytoplasm, which includes all cell contents (except the Nucleus, in cells that have one). Cytosol is the fluid of Cytoplasm.

Nucleus is the central part of an atom, and the process of milk production and secretion begins here; the organelle that contains DNA in eukaryotic cells.

Two identical projectiles are fired at the same time. Projectile A has a speed of 300m/s and projectile B has a speed of 600m/s. What is the ratio of the Kinetic Energy of projectile B to projectile A?

Answers

The ratio of the kinetic energy of projectile B to projectile A is 4:1.

The kinetic energy (KE) of an object is given by the formula

KE = 1/2 * m * v^2

where m is the mass of the object and v is its velocity.

Assuming the two projectiles have the same mass, we can compare their kinetic energies based solely on their velocities:

KE_B/KE_A = (1/2 * m * v_B^2)/(1/2 * m * v_A^2)

= (v_B^2/v_A^2)

Substituting the values given in the problem:

KE_B/KE_A = (600 m/s)^2 / (300 m/s)^2

= 4

Therefore, the ratio of the kinetic energy of projectile B to projectile A is 4:1. Projectile B has four times the kinetic energy of projectile A.

What is kinetic energy?

Kinetic energy is the energy an object possesses by virtue of its motion. It is a scalar quantity that depends on the mass and velocity of the object.

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Given the following information, what is the magnitude of the sum of the three
vectors?
Vector A: [13, 8, 0]
Vector B: [13, 0, 8]
Vector C: [0, 1, 8]

Answers

To find the magnitude of the sum of the three vectors, you first need to add the vectors together and then calculate the magnitude of the resulting vector. Let's add the vectors A, B, and C:

Vector A: [13, 8, 0]
Vector B: [13, 0, 8]
Vector C: [0, 1, 8]

Sum of vectors A, B, and C: [13 + 13 + 0, 8 + 0 + 1, 0 + 8 + 8] = [26, 9, 16]

Now, we can calculate the magnitude of the resulting vector:

Magnitude = sqrt((26)^2 + (9)^2 + (16)^2)
Magnitude ≈ sqrt(676 + 81 + 256)
Magnitude ≈ sqrt(1013)
Magnitude ≈ 31.83

Therefore, the magnitude of the sum of vectors A, B, and C is approximately 31.83.

Two blocks, M = 14.2 kg and m = 4.73 kg, are connected via a massless rope. They are being pushed up a frictionless hill, with a slope of 15.80, with a constant force in the direction of the incline, such that there is a total acceleration of 2.53 m/s2 for the system

Answers

Slope is rise over run, meaning the ratio of the change in height to the change in horizontal distance. So a slope of 15.80 corresponds to an angle of ascension θ of

tan(θ) = 15.80   →   θ ≈ 86.38°

The order of the blocks (i.e. whether the large one is pulling the smaller one up or vice versa) does not matter, since friction is not a concern. So if we take the connected blocks as a single mass, by Newton's law we have a net force acting parallel to the incline of

F = P - (M + m) g sin(θ) = (M + m) a

(see the attached free body diagram)

where

P = magnitude of the push

g = 9.80 m/s²

a = 2.53 m/s²

and M and m are the given masses.

Then the system requires a push of

P = (M + m) (a + g sin(θ))

P = (14.2 kg + 4.73 kg) (2.53 m/s² + (9.80 m/s²) sin(86.38°))

P ≈ 233 N

If you have to find the tension in the rope, consider the free body diagram for one of the blocks. By Newton's second law, the net parallel force acting on, say, the larger block (if it's being pulled by the rope) is

F = T - M g sin(θ) = M a

where

T = tension in the rope

Then

T = M (a + g sin(θ))

T = (14.2 kg) (2.53 m/s² + (9.80 m/s²) sin(86.38°))

T ≈ 175 N

Two blocks, M = 14.2 kg and m = 4.73 kg, are connected via a massless rope. They are being pushed up

What statement best describes the gravitational force of an object?

Answers

The gravitational force of an object is describes as amount of force of attraction of the massive object due to another massive object.

What is gravitational force?

Regardless of whether two objects have equivalent masses or not, the gravitational force will pull them together. Newton's Universal Law of Gravitation also states that everything in the universe, including you, pulls everything else. Newtons, abbreviated N, are the standard unit of gravitational force.

Mathematically, gravitational force between two objects of mass m₁ and m₂ separated by a distance r is given by:

F = Gm₁m₂/r²

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Put the steps of the scientific method in order.
A. Question -> Research -> Hypothesis -> Experiment -> Analysis -> Conclusion
B. Research -> Hypothesis -> Experiment ->Question -> Conclusion -> Analysis
C. Research -> Question -> Hypothesis -> Experiment -> Analysis -> Conclusion
D. Hypothesis -> Experiment -> Conclusion -> Question -> Research -> Analysis

Answers

Answer:

c

Explanation:

Answer:

c

Explanation:

im smart

Which best describes a tsunami?

Answers

Answer:

A tsunami is a series of waves in a water body caused by the displacement of a large volume of water, generally in an ocean or a large lake. Earthquakes, volcanic eruptions and other underwater explosions above or below water all have the potential to generate a tsunami. Unlike normal ocean waves, which are generated by wind, or tides, which are generated by the gravitational pull of the Moon and the Sun, a tsunami is generated by the displacement of water.

Answer:

A tsunami is series of waves caused by heavy winds. Hurricanes can cause tsunami

Explanation:

Example (1) A cylindrical glass rod in air has index of refraction 1.52. One end is ground to a hemispherical surface with radius R = 200 cm. (a) Find the image distance of a small object on the axis of the rod, 8.00 cm to the left of the vertex. (b) Find the lateral magnification. Answer /​

Answers

a. The image distance is -212.275 cm

b.  the lateral magnification is equal to 26.534375

How to calculate?

The image distance can be found using the lens equation for a spherical lens:

1/f = 1/d_o + 1/d_i

we have that  focal length of a spherical lens is:

f = R / (n - 1)

f = R / (n - 1) = 200 cm / (1.52 - 1) = 200 cm / 0.52 = 385.385 cm

The object distance, d_o, is 8.00 cm,

calculating  the image distance, we have :

1/f = 1/d_o + 1/d_i

1/385.385 cm = 1/8.00 cm + 1/d_i

d_i = -8.00 cm * 385.385 cm / (385.385 cm - 8.00 cm) = -212.275 cm

b. The lateral magnification can be described as the ratio of the height of the image to the height of the object:

m = h_i / h_o

m = h_i / h_o = d_i / d_o = -212.275 cm / 8.00 cm = -26.534375

In conclusion, the negative sign indicates that the image is inverted with respect to the object.

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what are the forces that act on the ball pushed on the floor?​

what are the forces that act on the ball pushed on the floor?

Answers

Answer:

the forces that act on the ball are reaction and action

A car starts from rest and uniformly acceleration to find speed of 20.0m/s in a time of 15.0 s . How far does the car travel during this time ?

Answers

Answer:

The answer is:    

150 m

Explanation:

find acceleration first.

Vf = at + Vi

20 = a(15) + 0

a = 1.33m/s^2

x = 1/2at^2

x = 1/2 (1.33) (15)^2

x = 149.625m or round it to 150m

hope this helps

Answer:

1.33

Explanation:

We know

speed =distance travelled

time taken

so here distance travelled is 20.0 m/s

and time taken is 15.0s

now simplify

s=20.0/15.0

=4/3

=1.33

hope you understood it!

Two small nonconducting spheres have a total charge of Q = Q1 +Q2 = 91.0 pC, Q1 < Q2. When placed 32.0 cm apart, the force each exerts on the other is 12.0 N and is repulsive.
a) what is the charge of Q1
b) what is the charge of Q2
c) what would Q1 be if forces attract
d) what would Q2 be if forces attract​

Answers

When a product fails to perform as warranted, this is called a) contractual liability. b) product malfunction. c) malicious manufacture. d) breach of warranty.

Two hot air balloons with the same mass and amount of helium put inside of them if one is a rigid material and the other expands which one would be the highest?​

Answers

Answer:

One is that atmospheric pressure is dramatically reduced at high altitudes, so a helium balloon expands as it rises and eventually explodes. If you inflate a balloon beyond its limits at room temperature, it will break into small pieces up to about ten centimetres long

Explanation:


Identify three main ideas about models

Answers

Answer:

Approaches mathematical learning through inquiry

-Explore real contexts, problems, situations, and models

-Learning through doing shifts the focus on the students

-Problems have multiple entry and exit points

-Links to other disciplines

Explanation:

quizlet

Set the cannon to have an initial speed of 20 m/s. For which situation do you think the cannon ball will go father: if it is set at a 60-degree angle, or if it is set at a 70-degree angle?

Question 2 options:

60 degrees


70 degrees

Answers

The cannon ball will go farther if the the angle of projection is set at 60 degrees

How to determine which angle will result in farther distance

Case 1:

Initial velocity (u) = 20 m/sAngle of projection (θ) = 60 ° Acceleration due to gravity (g) = 9.8 m/s²Horizontal distance (R) =?

R = u²Sine(2θ) / g

R = 20² × Sine (2×60) / 9.8

R = 346.41 / 9.8

R = 35.35 m

Case 2:

Initial velocity (u) = 20 m/sAngle of projection (θ) = 70 ° Acceleration due to gravity (g) = 9.8 m/s²Horizontal distance (R) =?

R = u²Sine(2θ) / g

R = 20² × Sine (2×70) / 9.8

R = 257.12 / 9.8

R = 26.24 m

From the above calculations, we can conclude that the ball will go farther, if the angle is 60 °

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Voltage


Depends on the amount of resistance
Depends on the amount of current
Is the measurement of electrical pressure
All of the above

Answers

Voltage depends on the amount of resistance, current according to the Ohm's law, and, by definition, is the measurement of electrical pressure.

According to the Ohm's Law,  the current through a conductor between two points is directly proportional to the voltage across the two points.

Mathematically,

V ∝ I

V = IR

where, R is the resistance of the conductor and I is the current flowing in the conductor. So, the voltage depends on the amount of resistance and current.

Also, Voltage is the pressure from an electrical circuit's power source that pushes charged electrons (current) through a conducting loop, enabling them to do work such as illuminating a light.

Hence All of the above option in the given question are true.

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A student is observing the motion of a bird relative to its nest. It goes from rest to a velocity of 4.0m/s[E] in 8.0s. It
then remains at rest for an additional 3.0s. Finally it reaches a velocity of 3.0m/s [W] in an additional time of 5.0s.
Based on this information create a position time, velocity time, and acceleration time graph. Make sure to include
all the elements of a good graph including a title, axis labels, and an accurate plot. Your d-T graph will have a level
of approximation but the key points should be accurate. 3 grids have been provided for you. Show your
calculations where necessary. [4 marks v-t, 5 marks a-t, 5 marks d-t. 14 marks TOTAL] (PRO TIP - MAKE YOUR V-T
graph first!!)

Answers

The bird remains at rest for 3.0 seconds, so its velocity is 0 m/s and displacement is also 0 m.

What is velocity?

To create the graphs, we need to first calculate the bird's motion parameters:

Initial velocity, u = 0 m/s

Final velocity, v = 4.0 m/s [E]

Time taken, t = 8.0 s

Acceleration, a = (v - u) / t = (4.0 - 0) / 8.0 = 0.5 m/s²

Displacement, d = ut + (1/2)at² = 0 + (1/2)(0.5)(8.0)² = 16.0 m

After this, the bird remains at rest for 3.0 seconds, so its velocity is 0 m/s and displacement is also 0 m.

Then, the bird starts moving again with a velocity of 3.0 m/s [W] and takes 5.0 seconds to reach this velocity. Therefore, its acceleration is:

Initial velocity, u = 0 m/s

Final velocity, v = 3.0 m/s [W]

Time taken, t = 5.0 s

Acceleration, a = (v - u) / t = (3.0 - 0) / 5.0 = 0.6 m/s²

Displacement, d = ut + (1/2)at² = 0 + (1/2)(0.6)(5.0)² = 7.5 m [W]

Using this information, we can create the required graphs:

These graphs are shown in below image.

A Position-time graph shows that the bird starts from the nest, moves 16.0 m to the east, remains there for 3.0 s, and then moves 7.5 m to the west.

The Velocity-time graph shows that the bird starts from rest, reaches a velocity of 4.0 m/s [E] in 8.0 s, remains at rest for 3.0 s, and then reaches a velocity of 3.0 m/s [W] in 5.0 s.

An Acceleration-time graph shows that the bird has an acceleration of 0.5 m/s² [E] from 0 to 8.0 s, no acceleration from 8.0 to 11.0 s (remains at rest), and an acceleration of 0.6 m/s² [W] from 11.0 to 16.0 s.

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A student is observing the motion of a bird relative to its nest. It goes from rest to a velocity of
A student is observing the motion of a bird relative to its nest. It goes from rest to a velocity of
A student is observing the motion of a bird relative to its nest. It goes from rest to a velocity of

Magnetism is a Responses A power.power. B form of electricity.form of electricity. C force.force. D form of energy.

Answers

Magnetism is a force that results from the movement of charged particles, such as electrons, within a magnetic field.

What is Magnetic Field?

A magnetic field is a region in space where a magnetic force is experienced by a magnetic material or a moving electric charge. It is produced by moving electric charges or magnetic materials, such as magnets. The magnetic field is a vector field, which means that it has both magnitude and direction. The direction of the magnetic field is conventionally represented by lines of magnetic flux that form closed loops around a magnet or a moving electric charge. The strength and direction of the magnetic field at any point in space can be determined by measuring the force exerted on a test charge or a magnet placed at that point. Magnetic fields are used in a wide range of applications, including electric motors, generators, magnetic resonance imaging (MRI) machines, and particle accelerators.

Magnetism is a fundamental force of nature that is responsible for the attraction or repulsion between magnetic objects. It is caused by the motion of charged particles, such as electrons, within atoms. Magnetism is associated with magnetic fields, which are invisible areas around a magnet where magnetic forces can be detected.

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I need help please will mark brainliest

I need help please will mark brainliest

Answers

Answer:

200

Explanation:

20m/s*10sec=200

if a seismic wave has a period of 0.0202s, find the frequency of the wave.

if a seismic wave has a period of 0.0202s, find the frequency of the wave.

Answers

Answer:

49.5 Hz.

Explanation:

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

Period (T) = 0.0202 s

Frequency (f) =?

The frequency and period of a wave are related according to the following equation:

Frequency (f) = 1 / period (T)

f = 1/T

With the above formula, we can obtain the frequency of the wave as follow:

Period (T) = 0.0202 s

Frequency (f) =?

f = 1/T

f = 1/0.0202

f = 49.5 Hz

Therefore the frequency of the wave is 49.5 Hz.

5. What is the area of space around a magnet called?
O Magnetic field
O Magnetic space
O Induced magnet


ILL MARK BRAINLYEST PLZ HELPPPP HURRY !!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Magnetic Field

Explanation:

Answer:

Magnetic field

Explanation:

write any five chemical equations and balance them​

Answers

In each balanced equation, the number of atoms for each element is the same on both sides of the equation, which satisfies the law of conservation of mass.

Combustion of Methane:

CH₄ + 2O₂ → CO₂ + 2H₂O

Synthesis of Water:

2H₂ + O₂ → 2H₂O

Neutralization Reaction:

HCl + NaOH → NaCl + H₂O

Decomposition of Hydrogen Peroxide:

2H₂O₂ → 2H₂O + O₂

Photosynthesis:

6CO₂ + 6H₂O → C₆H₁₂O₆ + 6O₂

Now let's balance each equation:

Combustion of Methane:

CH₄ + 2O₂ → CO₂ + 2H₂O

Synthesis of Water:

2H₂ + O₂ → 2H₂O

Neutralization Reaction:

HCl + NaOH → NaCl + H₂O

Decomposition of Hydrogen Peroxide:

2H₂O₂ → 2H₂O + O₂

Photosynthesis:

6CO₂ + 6H₂O → C₆H₁₂O₆ + 6O₂

In each balanced equation, the number of atoms for each element is the same on both sides of the equation, which satisfies the law of conservation of mass. Balancing chemical equations is a process of adjusting the coefficients in front of each compound or molecule to ensure that the number of atoms of each element is equal on both sides of the equation.

Balancing equations is an important skill in chemistry as it helps us understand the reactants, products, and stoichiometry of a chemical reaction. It allows us to determine the relative amounts of substances involved in a reaction and predict the outcome of the reaction.

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