Suppose that you hear a clap of thunder 16.2s after seeing the associated lightning stroke. The speed of sound waves in air is 343 m/s and speed of light in air is 3×10^(8) ms^(-1). How far you are from the lightning stroke?

Answers

Answer 1

You are approximately 5550.6 meters away from the lightning stroke.

To calculate the distance between you and the lightning stroke, we can use the fact that the time it takes for light and sound to reach you is related to their respective speeds.

In this case:

Time for sound to reach you (t_sound) = 16.2 s

Time for light to reach you (t_light) = 0 s (since you see the lightning instantaneously)

Speed of sound (v_sound) = 343 m/s

Speed of light (v_light) = 3 × 10⁸ m/s

Let's first calculate the distance traveled by sound using the formula:

Distance_sound = v_sound * t_sound

Distance_sound = 343 m/s * 16.2 s

Distance_sound = 5550.6 m

Next, let's calculate the distance traveled by light:

Distance_light = v_light * t_light

Distance_light = 3 × 10⁸ m/s * 0 s

Distance_light = 0 m

Since you see the lightning instantaneously, the distance traveled by light is 0.

To find the total distance between you and the lightning stroke, we can add the distances traveled by sound and light:

Total distance = Distance_sound + Distance_light

Total distance = 5550.6 m + 0 m

Total distance = 5550.6 m

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Related Questions

if a ball floating in outer space was pushed and had a velocity of 4 m/s what would its velocity be after 10 seconds? after an hour?

Answers

There is no change in the velocity of the ball after 10 seconds and one hour due to no external force on it.

What is the value of velocity of ball in space?

If a ball floating in outer space was pushed and attain a velocity of 4 m/s, then after 10 seconds as well as after an hour, it has the same velocity because in space there is no forces on the ball. This ball moves with the same velocity until external force is applied on it.

So we can conclude that there is no change in the velocity of the ball after 10 seconds and one hour due to no external force on it.

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a 0.29 kg harmonic oscillator has a total mechanical energy of 3.6 j. if the oscillation amplitude is 0.22 meters, what is the oscillation frequency f?

Answers

If the oscillation amplitude is 0.22m, from a 0.29kg harmonic oscillator which has a total of mechanical energy 3.6j, the oscillation frequency is 4.141Hz.

What is oscillation frequency?

It is a number of oscillations in the one-time unit, says per second. For example, a pendulum that takes 0.5s to make one full oscillation has a frequency of 1 oscillation per 0.5s or 2 oscillations / second.

How to calculate the oscillation frequency?

mass (m) = 0.29kg

Total energy (E) = 3.6j

amplitude (x) = 0.22m

E = 1/2 k*x^2

k = 2*E / x^2

= 2 * 3.6 / 0.22^2

= 148.76 N/m

Frequency (v) = 1/2π √k/m

= 1/2*3.14 * √148.76 / 0.22

= 4.141Hz

Therefore, the oscillation frequency is 4.141Hz.

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What do all electromagnetic waves have in common?
• They can travel at the speed of light
o They has the same wavelengths.
O They travel only through matter
O They have nonmoving magnetic fields

Answers

4) They have non-moving magnetic fields.

With respect to monopolies, deadweight loss refers to the net loss in consumer and producer surplus due to a monopolist's pricing strategy/policy. socially unproductive amounts of money spent to obtain or acquire a monopoly. lost consumer surplus from monopolistic pricing. none of the above

Answers

With respect to monopolies, deadweight loss refers to the net loss in consumer and producer surplus due to a monopolist's pricing strategy/policy.

Deadweight loss occurs when a monopoly restricts output and charges a higher price compared to a competitive market. This results in a reduction of consumer surplus (the difference between what consumers are willing to pay and what they actually pay) and producer surplus (the difference between the price received by producers and their willingness to sell). The loss represents a welfare loss to society as resources are not allocated efficiently.

In a monopolistic market, deadweight loss arises because the quantity produced is lower and the price is higher compared to a competitive market, leading to a distortion in the allocation of resources. This inefficiency results in a net loss of economic welfare, commonly referred to as deadweight loss.

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5. A bowl-shaped depression at the head of a glacial valley is a(n)
A. Glacial trough
B. Horn
C. arête
D. Cirque

Answers

Correct answer is d ( Cirque )

Water flowing from a waterfall before it hits the pond below?

Answers

Answer:

Kinetic Energy

Explanation:

Ang prinsipyo ay nagsasaad na ang enerhiya ay hindi maaaring malikha o masira, ngunit maaari lamang ma-convert mula sa isang anyo patungo sa isa pa. Ang tubig sa tuktok ng napakataas na talon ay nagtataglay ng gravitational potential energy. Habang bumabagsak ang tubig, ang enerhiya na ito ay na-convert sa kinetic energy, na nagreresulta sa isang daloy sa isang mataas na bilis.

sketch the graph of density against temperature of water between 0°c and 10°c​

Answers

Answer:there is the scetch in the picture

Explanation:

sketch the graph of density against temperature of water between 0c and 10c

Which galaxy helps show scientists how stars and star cluster are formed

Answers

The galaxy is Milky Way, it has hundreds of billions of stars, enough gas and dust to make billions more stars.

When light goes straight through a medium that means it has been

Question 8 options:

absorbed


reflected


transmitted

Answers

Answer:

Reflected

Explanation:

During the process of reflection whatever that is sent forth e.g light comes back (reflects)

Answer:

transmitted

Explanation:

took quiz

What is the speed of the Curiosity Rover if it travels 10,000 ft. in 25 hours? *
400 m/s²
400 ft./hr
250,000 ft./hr
250,000 m/s²

Answers

I think it’s 250,000 ft./hr

What is the density of an object with a mass of 24 g and a volume of 225 cm3?

Answers

Answer:24/225

Explanation:density =mass/volume

How tall is golaith in centimeters?

Answers

Answer:

290

Explanation:

If r(t)=t
2
i+(t
2
−1)j+2t
2
k is the position vector of a moving particle. what are the tangential and normal components of acceleration at any time t>0 ?
a
T

=16
2


a
N

=
2
1


a
T

=9.6
a
N

=1
a
T

=
2
3
6




a
N

=
2
1


a
T

=2
6


a
N

=0

Answers

To find the tangential and normal components of acceleration, we need to differentiate the given position vector twice with respect to time (t) to obtain the acceleration vector.

Then, we can decompose the acceleration vector into its tangential and normal components.

Given position vector: \(r(t) = t^2i + (t^2 - 1)j + 2t^2k\)

First, let's differentiate the position vector with respect to time to find the velocity vector:

\(v(t) = dr(t)/dt = 2ti + (2t)j + 4tk\)

Now, let's differentiate the velocity vector with respect to time to find the acceleration vector:

\(a(t) = dv(t)/dt = d^2r(t)/dt^2 = d^2r(t)/dt^2 = 2i + 2j + 4k\)

The acceleration vector is a(t) = 2i + 2j + 4k.

Now, let's decompose the acceleration vector into its tangential and normal components.

The tangential component of acceleration (a_T) is the component of acceleration parallel to the velocity vector. It can be calculated by taking the dot product of the acceleration vector (a) and the unit vector in the direction of the velocity vector (v/|v|):

\(a_T\) = (a · v/|v|) * (v/|v|)

To find the unit vector in the direction of v, we divide the velocity vector (v) by its magnitude:

v = 2ti + 2tj + 4tk

\(|v| = sqrt((2t)^2 + (2t)^2 + (4t)^2) = sqrt(4t^2 + 4t^2 + 16t^2) = sqrt(24t^2) = 2sqrt(6)t\)

v/|v| = (2ti + 2tj + 4tk) / (2sqrt(6)t) = (i + j + 2k) / sqrt(6)

Now, let's calculate the dot product of a and v/|v|:

a · v/|v| = (2i + 2j + 4k) · (i + j + 2k) / sqrt(6)

          = 2 + 2 + 8 / sqrt(6)

          = 12 / sqrt(6)

          = 2sqrt(6)

Finally, we can calculate the tangential component of acceleration (a_T):

\(a_T\)= (a · v/|v|) * (v/|v|)

   = (2sqrt(6)) * ((i + j + 2k) / sqrt(6))

   = 2(i + j + 2k)

Therefore, the tangential component of acceleration \((a_T)\) is 2(i + j + 2k).

The normal component of acceleration (a_N) is the component of acceleration perpendicular to the velocity vector. It can be calculated by subtracting the tangential component of acceleration from the total acceleration vector:

\(a_N = a - a_T\)

   = (2i + 2j + 4k) - 2(i + j + 2k)

   = 2i + 2j + 4k - 2i - 2j - 4k

   = 0i + 0j + 0k

   = 0

Therefore, the normal component of acceleration \((a_N)\) is 0.

In summary, at any time t > 0, the tangential component of acceleration \((a_T)\) is 2(i + j + 2k), and the normal component of acceleration \((a_N)\) is 0.

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Put the following materials in order based on how quickly a sound wave could travel through them. Start with the slowest and end with the fastest.
Cold spoon
Air
Outer space
Water
Hot spoon​

Answers

The speed of sound in the materials starring with the slowest to the fastest are; outer space, air, water, cold spoon and hot spoon.

How does sound travel in a material?

Sound is a type of energy made by vibrations. These vibrations create sound waves which move through mediums such as air, water, wood, etc. When an object vibrates, it causes movement in the particles of the medium.

So sound wave is a mechanical wave that requires material medium for its propagation.

Sound wave will travel fastest in solids, so arranging material based on how sound travel in them, starting with the slowest;

outer spaceairwatercold spoonhot spoon

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Which statements best describe X-rays?

Answers

Answer:x rays are electromagnetic waves.

x rays are transverse waves

x rays travel at the speed of light

Explanation:

A car travels 100 km to the east. If the first half of the distance is driven at 50 km/h and the second half at 100 km/h, what is the average velocity

Answers

First half:

50 km at 50 km/hr ... 1 hour

Second half:

50 km at 100 km/hr ... 1/2 hour

Total distance = 100 km

Total time = 1.5 hours

Average speed = (100 km) / (1.5 hrs)

Average speed = 66 and 2/3 km/hr

Average velocity = 66 and 2/3 km/hr East

The average velocity of the car would be 66.67 Kilometers / hours.

What is Velocity?

The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object.

As given in the problem a car travels 100 km to the east. If the first half of the distance is driven at 50 km/h and the second half at 100 km/h,

The average velocity of the car = Total displacement / total time

                                                     =100 / 1.5

                                                     =66.67 Kilometers / hours

Thus, the average velocity of the car would be 66.67 Kilometers / hours.

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one plane travels north at 300 km/h while another plane travels south at 300 km/h their speeds are the same?

Answers

A plane travels north at 300 km/h while another plane travels towards south at 300 km/h and yes they are moving with the same speed.

What is speed?

Speed is the ratio of distance traveled by an object in total time taken.

So, speed = distance/time

In the question given, the planes are moving at 300 km/h in different directions. One of the planes travels 300 km towards north in 1 hour, while the other plain travels towards south covering the same distance in 1 hour Using the relation between distance, time and speed, we can see that both the planes are moving with the speed of 300 km/h.

Speed is a scalar quantity, that is completely described by its magnitude and have nothing to do with the direction of a moving object.

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A bullet is fired horizontally at a height of 1.3 meters and a velocity of 950 m/s. How long was the bullet in the air?

Answers

Answer:

The bullet was 0.52 seconds in the air.

Explanation:

Horizontal Motion

It occurs when an object is thrown horizontally with a speed v from a height h.

The object describes a curved path ruled exclusively by gravity until it hits the ground.

To calculate the time the object takes to hit the ground, we use the following equation:

\(\displaystyle t=\sqrt{\frac{2y}{g}}\)

Note it doesn't depend on the initial velocity but on the height.

The bullet is fired horizontally at h=1.3 m, thus:

\(\displaystyle t=\sqrt{\frac{2\cdot 1.3}{9.8}}\)

\(\displaystyle t=\sqrt{\frac{2.6}{9.8}}\)

t = 0.52 s

The bullet was 0.52 seconds in the air.

Any substance on this earth is directly dependent on the gravitational force. The bullet fired horizontally will also faced the gravitational pull force.

To calculate the time the object takes to hit the ground, we use the following equation:-

\(t=\sqrt\frac{2y}{g}\)

The bullet is travelling in the air hence it does not depend on the velocity bt the mass. The height taken by the bullet is h=1.3m.

After putting the value to the equation, the answer will be as follows:-

\(t=\sqrt\frac{2*1.3}{9.8}\)

After solving the equation the value of time is 0.52 seconds

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Why is acceleration due to gravity low in the space?

Answers

Answer:

Explanation:

actually , the acceleration due to gravity depends on the distance from it's center of the earth.

when the distance from the earth increases , the acceleration due to gravity decreases as a result . The value of gravity in space is zero.

¿Una bombilla de 50 vatios transfiere mas energía por unidad de tiempo que una bombilla de 100 vatios?

Does a 50-watt light bulb transfer more energy per unit of time than a 100-watt light bulb?​

Answers

Answer:

yes it does transfer more energy per unit

How can the pilot determine, for an ILS runway equipped with MALSR, that there may be a penetration of the obstacle identification surfaces (OIS), and care should be taken in the visual segment to avoid any obstacles?

Answers

Explanation:

Dissolve 2 -naphthol in ethanol in a round bottom flask.

Add sodium hydroxide pellets and boiling chips. Attach a condenser.

Heat under reflux for 20 minutes, until all the base dissolves.

Add 1 -bromobutane and reflux for an additional hour.

Pour the contents fo the round bottom flask into a beaker of ice

Collect the precipitate by vacuum filtration on a Bachner funnel

Rinse the product with cold water and dry it on the filter.

Why is nuclear energy able to be used for practical purposes? the reactions are controlled to regulate energy output. the reactions are uncontrolled for maximum energy output. all of the products are fed back into the reaction to keep it going. all of the products are immediately removed to inhibit more reactions.

Answers

Nuclear energy is is used practically for many energy requirements because the reactions are controlled to regulate energy output

What is nuclear energy?

Nuclear energy is the energy reaelesed during nuclear relations.

Nuclear energy is a clean form of energy which is available in enormous amounts.

Nuclear energy is is used practically for many energy requirements because the reactions are controlled to regulate energy output.

Therefore, the control of nuclear reactions make the use if nuclear energy possible.

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Answer: A or the reactions are controlled to regulate energy output.

Explanation: did it on edge!

according to present understanding, a nova is caused by

Answers

After considering the given data we conclude that the nova simply represents an outburst of  exertion and a release of energy, emblematic  of bringing a white dwarf closer and closer to the critical threshold where it can no longer hold itself up against gravitational collapse.

 According to present understanding, a nova is caused by a white dwarf star in a  double system" stealing" gas from its  near companion star. When enough gas builds up on the  face of the white dwarf, it triggers a thermonuclear explosion that blasts the star's atmosphere into astral space, creating the envelope seen as visible light during the nova event.  

This explosion causes the  unforeseen appearance of a bright,  supposedly" new" star that  sluggishly fades over weeks or months. All observed novae involve white dwarfs in close  double systems. The mainsub-classes of novae are classical novae,  intermittent novae( RNe), and dwarf novae. The  unforeseen increase in energy expels the atmosphere into astral space creating the envelope seen as visible light during the nova event.  

Although the  fairly more spectacular  marvels of either a  winner or a kilonova are  frequently all the rage, the nova has one abecedarian advantage it does n’t destroy either of the ancestor objects that give rise to it. rather, a nova simply represents an outburst of  exertion and a release of energy, emblematic  of bringing a white dwarf closer and closer to the critical threshold where it can no longer hold itself up against gravitational collapse.  
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A nova is caused by a thermonuclear explosion on the surface of a white dwarf star due to the accretion of matter from a companion star.

A nova is a sudden, bright outburst of light from a star that occurs due to a thermonuclear explosion on the surface of a white dwarf star. The explosion is caused by the accretion of matter from a companion star onto the surface of the white dwarf. As the matter accumulates, it undergoes nuclear fusion, releasing a tremendous amount of energy in the form of light and heat. This sudden increase in brightness makes the star appear much brighter than usual, hence the term 'nova'.

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A +6 nC charge is located at (0,8.44) cm and a -4nC charge is located (3.12, 0) cm.Where would a -10 nC charge need to be located in order that the electric field at the origin be zero? Find the distance r from the origin of the third charge.

Answers

The electric field exerted by a point charge is given by:

\(E=k\frac{q}{r^2}\)

where q is the charge and r is the distance to the point where we want to calculate the electric field.

In this case we have three charges with the following properties:

\(\begin{gathered} q_1=6\times10^{-9},\text{ }r_1=0.0844 \\ q_2=-4\times10^{-9},\text{ }r_2=0.0312 \\ q=-10\times10^{-9},\text{ }r \end{gathered}\)

Now, the total electric field on a point is the addition of all the charges; in this case we want the net field to be zero. Then we have:

\(\begin{gathered} k\frac{6\times10^{-9}}{(0.0844)^2}-k\frac{4\times10^{-9}}{(0.0312)^2}-k\frac{10\times10^{-9}}{r^2}=0 \\ \frac{10}{r^2}=\frac{6}{(0.0844)^2}-\frac{4}{(0.0312)^2} \\ \frac{10}{r^2}=-3266.84 \\ r^2=-\frac{10}{3266.84} \end{gathered}\)

Now, since the last equation does not have a real solution this means that this distribution of charges will not exert a zero electric field on the origin.

Therefore, there's no possible distance for the field to be zero in this charge configuration

Select the correct answer.

Good technique means that you are doing an exercise correctly.

A.

True

B.

False

Answers

The method you do an exercise to target particular muscle groups is known as technique.

Why is proper technique crucial when exercising?

When workouts are performed properly, the muscles and joints that are being particularly targeted by the movement get the load. When an exercise is performed improperly, it frequently results in the loading of other joints and muscles as well as a reduction in the benefit to the target muscles.

Is weight more significant than technique?

Whatever your weightlifting objectives, using perfect form is the first and most crucial step. Technique has a greater influence than weight used, whether you're trying to bulk up or tonify. Bad form simply won't yield the same outcomes.

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Please help! Do I color the lines or the shapes? Which ones do I color blue, red, or green?

Please help! Do I color the lines or the shapes? Which ones do I color blue, red, or green?

Answers

Hello! :3

I'm pretty sure you should be coloring the lines. The green line should be convergent, the blue line should be transformed,  and the red line should be divergent.

Hope this helps! I'm not 100% sure! :)))))

Please help! Do I color the lines or the shapes? Which ones do I color blue, red, or green?

the lift experienced by maglev trains is due to magnetic..

Answers

The lift experienced by maglev trains is due to magnetic forces. Maglev trains, short for magnetic levitation trains, utilize magnetic forces to achieve lift and propulsion.

The principle behind maglev technology involves the interaction between magnetic fields and electric currents to generate repulsion or attraction forces. The lift experienced by maglev trains is primarily due to magnetic repulsion. The train's undercarriage contains magnets, typically superconducting electromagnets or permanent magnets, which create a strong magnetic field. The track, on the other hand, is equipped with a series of coils or magnets that produce a corresponding magnetic field. When the train moves along the track, the magnetic fields of the undercarriage and the track interact, resulting in a repulsive force that levitates the train above the track.

By effectively repelling the train from the track, the magnetic forces create a "floating" effect, reducing friction and allowing the train to move smoothly and efficiently. This enables maglev trains to achieve high speeds and provide a comfortable ride. In addition to lift, magnetic forces are also used for propulsion in maglev systems, where alternating magnetic fields push and pull the train forward. In summary, the lift experienced by maglev trains is indeed due to magnetic forces, specifically the repulsion generated between the magnetic fields of the train and the track.

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Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.
Online Content: Site 1
Fitness Log

What steps can you take in your everyday life to properly care for your skeletal system? (Site 1)

Answers

Incorporating physical activity into your everyday routine is one approach to care for your skeletal system.

Walking, running, and climbing stairs are all weight-bearing workouts that can help you grow strong bones and reduce bone loss. Substance misuse should be avoided.

What is the skeletal system?

The human skeleton is the body's internal framework. It is made up of around 270 bones at birth, which lowers to approximately 206 bones by adulthood as certain bones fuse together.

It is to be noted that the skeleton's bone mass accounts for around 14% of total body weight and achieves maximal density around the age of 21.

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Which situation describes the best example of rotational motion?

A. Craig sent the pool ball spinning toward the side pocket.
B. The skater repeated the figure eight on the ice.
C. Sara spun the dreidel on its pointed end.
D. The mouse ran in circles around the mousetrap.

yeah i kinda need help ;w;

Answers

The answer is C

! I took the test lol :)

The rotation is a circulatory motion of an object around the axis and maybe for infinite time and pass internally by the body's own center of mass then the body is said to be spinning.

Revolution is used synonym for rotation. Such as planet earth rotates around the sun on its axis. Another example of this motion can be that of dreidel spinning on its pointed edge.

Hence option C is correct.

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"Please include all relevant working out as detailed as possible
and all relevant diagram to find the answer. Much appreciated! I
will upvote! Thank you so much"
Find total response of the system (transient+steady state). Do not solve for coefficients. Determine the frequency of applied force at which resonance will occur? M = 20 kg F, = 90 N Given: -6 rad/s M

Answers

Given the following information:Mass of the system, m = 20 kg.Damping coefficient, b = 6 Ns/m.Force, F = 90 N.Frequency of applied force, f = ?Applied force angular frequency, w = 6 rad/s.Forced vibration equation:F(t) = F0 sin(wt)where F0 = 90 N and w = 6 rad/s.Under the action of the force F, the mass m will oscillate.The equation of motion for the mass-spring-damper system is given by:$$\mathrm{m\frac{d^{2}x}{dt^{2}}} + \mathrm{b\frac{dx}{dt}} + \mathrm{kx = F_{0}sin(\omega t)}$$where k is the spring constant.x(0) = 0 and x'(0) = 0.As we have the damping coefficient (b), we can calculate the damping ratio (ζ) and natural frequency (ωn) of the system.Damping ratio:$$\mathrm{\zeta = \frac{b}{2\sqrt{km}}}$$where k is the spring constant and m is the mass of the system.Natural frequency:$$\mathrm{\omega_{n} = \sqrt{\frac{k}{m}}}$$where k is the spring constant and m is the mass of the system.Resonant frequency:$$\mathrm{\omega_{d} = \sqrt{\omega_{n}^{2}-\zeta^{2}\omega_{n}^{2}}}$$At resonance, the amplitude of the system will be maximum when forced by a sinusoidal force of frequency equal to the resonant frequency.Resonant frequency:$$\mathrm{\omega_{d} = \sqrt{\omega_{n}^{2}-\zeta^{2}\omega_{n}^{2}}}$$$$\mathrm{\omega_{d} = \sqrt{(6.57)^{2}-(-2.88)^{2}} = 6.98 rad/s}$$Hence, the frequency of applied force at which resonance will occur is 6.98 rad/s.

The frequency of the applied force at which resonance will occur is ω = 2√5 rad/s.

To determine the frequency of the applied force at which resonance will occur, resonance happens when the frequency of the applied force matches the natural frequency of the system. The natural frequency can be determined using the formula:

ωn = √(K / M),

where ωn is the natural frequency, K is the spring constant, and M is the mass of the system.

Substituting the given values of K = 400 N/m and M = 20 kg into the equation, we can calculate the natural frequency ωn.

ωn = √(400 N/m / 20 kg) = √(20 rad/s²) = 2√5 rad/s.

Therefore, the frequency of the applied force at which resonance will occur is ω = 2√5 rad/s.

The correct question is given as,

M= 20kg

Fo = 90 N

ω = 6 rad/s

K = 400 N/m

C = 125 Ns/m

Determine the frequency of applied force at which resonance will occur?

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christian has 1/8 of a hershey's bar. Ellie has 1/3 of a hershey's bar. who has more, and how much more do they have The owner of an apartment building told his manager not to rent to an Asian family. Which statement is true?a. The manager must follow the owner's instructions.b. The manager should set up his screening process to check for nationality.c. The manager should tell the owner that his request is a violation of fair housing law.d. The manager should rent to the Asian family and not tell the owner. Toy cars cost $2. If Anna bought 4 toy cars and 5 toy airplanes and spent $38, howmuch does a toy airplane cost? CK IN Canada's definition of an urban area is a place with at least A. 200 B. 400 C. 800 D. 1,000 Please select the best answer from the choices provided A B Type the correct answer in each box. Use numerals instead of words. Function f is given by the table of values shown. x 0 1 2 3 f(x) 7 0 -5 -8 If function f is reflected across the x-axis to obtain function g, complete the table of values which represents function g. x 0 1 2 3 g(x) What did Leon Chameides have to do at the monastery in order to survive the war safely?Answer Help please!!!!!!! ASAP! Write the coordinates of the vertices after a rotation 90 counterclockwise around the origin capitol Industries has 6 million shares of stock outstanding. In an election for the board of directors, 80 percent of the shares are voted. The company has seven directors on its board, all of whom are elected annually. If the company uses a cumulative voting procedure, how many shares are required to elect i. One director ii. Two directors iii. A majority of the members of the boardAnswer only part b above. Make sure answer all three parts of part b like this:Answer to b.i: (make sure to show your work) Answer to b.ii: (make sure to show your work) Answer to b.iii (make sure to show your work) Given that a current sheet with surface current density J_S = X 8 (A/m) exists at y = O, the interface between two magnetic media, and H1 = z 11 (A/m) in medium 1 (y >0), determine H2 in medium 2 (y Which of the following represents the function f(x) = 5x^(2) + 20x + 25 in vertex form. Identify the vertex. By convention, when writing a chemical equation the are listed on the left side of the arrow and the are listed on the right side of the arrow. A constant head permeability test is performed on a soil that is 2 cm x 2 cm square and 2.5 cm long. The head difference applied during the test is 18 cm, and 5 cm3is collected over a time of 100 sec. a) Compute the permeability based on these test conditions and results b) A falling head test is to be done on the same soil specimen in teh same time (t1 - t2 Tom Brady and the Buccaneers or Patrick Mahomes and the Chiefs? A and B are similar cuboids.surface area of A: surface area of B = 16:2.Work outvolume of A: volume of B Frank makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours compare the causes and consequences of chronic bronchitis, emphysema, asthma, tuberculosis, and lung cancer An increase in government purchases is likely to group of answer choices cause an exchange rate depreciation increase a trade deficit change the money supply decrease a trade deficit If samples of mercury and silver each had volumes equal to 1 cm3, which would have the greater mass, and how much would the difference in masses be? A bottle of water has a diameter of 3 inches and a height of 8 inches, and a mass of 1250 g. What is the volume and density?