a baseball is hit at ground level. the ball is observed to reach its maximum height above ground level 3.0 seconds after being hit. and 2.5 seconds after reaching this maximum height, the ball is observed to barely clear a fence that is 320 ft. from where it was hit. how high is the fence? (the acceleration of gravity is -32.2 ft/s 2 .)

Answers

Answer 1

To find the height of the fence, we need to find the final height of the ball after it was hit and then subtract the height of the fence.The final height of the ball can be found using kinematic equations. Using the initial velocity, acceleration due to gravity, and time elapsed, we can find the final height of the ball:h = vi * t + 0.5 * a * t^2whereh = final height

vi = initial velocity (0, since it was hit from ground level)

t = time elapsed (3.0 s)

a = acceleration due to gravity (-32.2 ft/s^2)Substituting the values,h = 0 + 0.5 * -32.2 * (3.0)^2 = 45.3 ftNext, we need to find the height of the ball 2.5 seconds after it reached its maximum height.Using the same kinematic equation,h = vi * t + 0.5 * a * t^2whereh = final height

vi = initial velocity (0, since it was at its maximum height)

t = time elapsed (2.5 s)

a = acceleration due to gravity (-32.2 ft/s^2)Substituting the values,h = 0 + 0.5 * -32.2 * (2.5)^2 = 18.825 ftFinally, subtracting the final height of the ball from the height of the fence:fence height = 320 ft - 18.825 ft = 301.175 ftSo, the fence is 301.175 ft high


Related Questions

1. Calculate the GPE of a 0.005 kg penny sitting at the top of the Willis Tower. (Convert the given feet for each building to meters first, 1 meter = 3.28 feet.). Please type just your answer, rounding to the nearest whole number. Do not include units ( Energy is measured in Joules).

Answers

The gravitational potential energy of the penny is 25.823 Joule

What is gravitational potential energy?

The energy that an item has or acquires when its location changes as a result of being in a gravitational field is known as gravitational potential energy. Gravitational potential energy can be defined as an energy that has a connection to gravitational force or gravity.

Height of Will tower = 527 m

Mass of the penny = 0.005 kg

Acceleration due to gravity = 9.8 m/s²

Hence, the gravitational potential energy of the penny = 0.005 × 527 × 9.8 Joule

= 25.823 Joule

Learn more about potential energy here:

https://brainly.com/question/24284560

#SPJ1

If a liquid does not absorb visible light, the liquid would appear?

Answers

If a liquid doesn't absorb visible light, the liquid would appear dark or opaque to us.

The absorption of light, especially visible light, makes an object dark or opaque. To some wavelengths of light, some materials are opaque, but some are transparent to others. Glass, for instance, is opaque to ultraviolet light, but it is transparent to visible light.

Since the liquid does not absorb visible light, to human eyes the liquid would appear dark or opaque. This is because human eyes are only sensitive to visible light. If the dark/opaque liquid actually reflects other lights, we wouldn't know (without the help of technology) since we don't see them.

Learn more about light at https://brainly.com/question/14871680.

#SPJ4

A ladybug is resting on a 0.5 meter radius turntable that is rotating with a period of 2 seconds. The ladybug is halfway between the center and the edge. Use this information for the questions in this section.
What is the tangential distance travelled by the ladybug in one revolution?
What is the tangential velocity of the ladybug?
What is the angular distance traveled by the ladybug after one revolution?
What is the angular velocity of the ladybug?

Answers

(a) The tangential distance travelled by the ladybug is 1.57 m.

(b) The tangential velocity of the ladybug is 0.785 m/s.

(c) The angular distance traveled by the ladybug after one revolution is  0.5π radians.

(d) The angular velocity of the ladybug is 3.14 rad/s.

What is tangential distance travelled?

The tangential distance travelled by the ladybug is calculated as follows;

d = 0.5 ( 2πr )

d = ( πr )

d = π x 0.5 m = 1.57 m

The tangential velocity of the ladybug is calculated as follows;

v = d / t

where;

d is tangential distance

v = ( 1.57 m ) / ( 2 s )

v = 0.785 m/s

The angular distance traveled after after one revolution is calculated as follows;

2πr = 1 rev

2π x ( 0.25) = 1 rev

1 rev = 0.5π radians

The angular velocity of the ladybug is calculated as follows;

v = ωr

ω = v/r

ω = 0.785 m/s / 0.25 m

ω = 3.14 rad/s

Learn more about angular velocity here: https://brainly.com/question/6860269

#SPJ1

Vehicle A and vehicle B collide and vehicle A loses 4000 kg•m/s of momentum. What is the change in momentum of vehicle B? What is the total change in momentum due to the collision?

Answers

The gain in momentum of vehicle B is 4000 kg•m/s

The total change in momentum due to the collision is zero.

What is the principle of momentum conservation?

According to the principle of momentum conservation, momentum is only modified by the action of forces as they are outlined by Newton's equations of motion; momentum is never created nor destroyed inside a problem domain.

As no external force applied, total momentum during collision remains conserved.

Hence, the gain in momentum of vehicle B = the loss  in momentum of vehicle C

=  4000 kg•m/s

And,  the total change in momentum due to the collision is zero.

Learn more about momentum here:

https://brainly.com/question/4956182

#SPJ1

if a pole vaulter could run this fast and convert all of her kinetic energy into gravitational potential energy, how high would she go (in m)?

Answers

If a pole vaulter could run this fast and convert all of her kinetic energy into gravitational potential energy, she would be able to reach a height of 7.34 meters.

This is calculated by using the equation P.E = mgh, where m is the mass of the pole vaulter, g is the gravitational acceleration (9.8 m/s2) and h is the height she can reach.

To further develop this topic, it is important to understand the different aspects of pole vaulting. The pole vaulter must begin their run-up before the vault, accelerating to their maximum speed and utilizing the force of their arms to help propel them. Once they plant the pole in the box, the pole must be angled correctly to convert the kinetic energy into potential energy.

Learn more about kinetic energy and gravitational potential energy:

https://brainly.com/question/17262900

#SPJ4

a man skis down from the top of a hill 950.0 m high, starting from rest. if he loses 70% of his initial mechanical energy to friction during his descent, what is his speed in m/s at the base of the hill?

Answers

Assuming that the man is skiing in a straight line down the hill, and that the hill is a constant angle, the final speed at the bottom of the hill can be calculated using the following equation:

v = √(2gh(1 - 0.7))

Where h is the height of the hill (950 m in this case), g is the acceleration due to gravity (9.81 m/s2), and 0.7 is the fraction of energy lost (70%). This gives a final speed at the bottom of the hill of 15.59 m/s.

Velocity is a vector quantity that describes the rate at which an object moves in a given direction. It is usually measured in meters per second (m/s). Acceleration is also a vector quantity, and it describes the rate of change of velocity. It is usually measured in meters per second squared (m/s2). When an object has a constant velocity, its acceleration is zero.

Learn more about initial mechanical energy due to friction:

https://brainly.com/question/29196032

#SPJ4

in metaphysics, a view called nominalism is often expressed as to be nominalist about a quality is to believe that quality is a mere name or word, that the quality is not in the real world in its own right. if you had to classify galileo, would you classify him as a nominalist about color?

Answers

Yes, we would classify Galileo as a nominalist because he claimed that qualities as that of color were mere names.

Galileo argued that color resided in the eye of the beholder and not really existed in the space. This concept is directly related to nominalism. Nominalism in metaphysics is the theory that universals and abstract things are only names or labels and do not genuinely exist. Nominalism has at least two main iterations. One interpretation rejects the existence of universals, which are things that may be expressed or illustrated by a large number of individual objects (e.g., strength, humanity). The alternative version expressly contests the reality of abstract objects, or those that do not exist in space or time.

The majority of nominalists have believed that only physical particulars in space and time are real and that universals can only exist post res, or after specific objects, according to this theory. Some forms of nominalism, however, assert that some particulars are abstract things.

To know more about metaphysics, refer:

https://brainly.com/question/13570226

#SPJ4

rue or false. on a vehicle with an electronic brake control module, if the yellow warning lamp is not illuminated and the brakes are not functioning properly, suspect a problem that is not monitored by the electronic brake control module.

Answers

If indeed the yellow warning signal on a car with a brake control module is not lit and the brake are not working properly, look for an issue that is not being watched by the brake control module.

What is the electronic brake control module's most frequent issue?

An activated ABS Light is the most typical indication that there is an issue with the EBCM. If not the primary control device for the ABS system, the EBCM is frequently connected to it. The ABS Light will turn on to notify the driver of any problems or failures when it does so.

How is the brake light dependent reset?

the ignition with the key (or car key). While turning the keys to position 2, avoid turning on the ignition. Open the garage window and hold it open for around ten seconds. The disc brake lights ought to reset once you've finished the aforementioned three steps.

To know more about lights visit:

https://brainly.com/question/15200315

#SPJ4

2. if the nature of sound was not wave-like, but more like the mechanics of balls, cars, , could resonance occur?

Answers

No, resonance won't happen.

A process whereby an external force or a vibrating system causes another system nearby to vibrate more intensely at a particular operating frequency

What results in resonance?

Simple resonance is the occurrence of an oscillating force near one of an object's "natural" frequencies, where it is easily oscillating.

Are there resonances in people?

Many researches have discovered that the fundamental resonance frequency of the human complete body is approximately 5 Hz by measuring how the body reacts to vibrations.

What does the term "amplitude" mean?

In physics, amplitude refers to the greatest displacement or distance that a point on a vibrating body or wave can move relative to its equilibrium location.

To know more about Resonance visit:

https://brainly.com/question/29547999

#SPJ4

what is the change in temperature if an object goes from 273 k to 243 k?

Answers

The change in temperature if an object goes from 273 k to 243 k is -30 K. ΔT=T f - T i, where T f is the final temperature and T i is the initial temperature, gives the temperature change.

How is temperature converted to the Kelvin scale?

Celsius to Kelvin conversion: Kelvin = Celsius + 273 1.5. The value of 273 is also utilized in place of 273.15.

What three temperature scales are there?

Fahrenheit, Celsius, and Kelvin are the three scales that are most frequently used to measure temperature (K).

Why has the temperature changed?

The majority of climate change specialists concur that the temperature increase is mostly caused by greenhouse gases, which trap heat and keep it from rising into the Earth's atmosphere. Even though there is a global focus on lowering greenhouse gas emissions, temperatures are still rising.

To know more about temperature visit;

https://brainly.com/question/24746268

#SPJ4

imagine a proton at rest a certain distance from a negatively charged plate. after being released it collides with the plate. then imagine an electron at rest the same distance from a positively charged plate. assume that the amount of net charge of the plates is the same in both cases. in which case will the moving particle have the greater speed when the collision occurs?

Answers

The electron would have a greater speed because it has a smaller mass. The moving particle has a greater speed when the collision occurs.

A collision is an event in which two or more objects come into contact with each other, resulting in a transfer of energy and/or momentum. Collisions can range from relatively mild, such as two cars lightly bumping into each other in a parking lot, to extremely energetic and destructive, such as two asteroids colliding in space or a high-speed train crash. The outcome of a collision depends on the relative velocity and masses of the objects involved, as well as any forces between them, such as friction or electrical forces.

In physics, collisions are often studied as a means of understanding the underlying laws of motion and the behavior of objects in motion. By analyzing the motion of objects before and after a collision, scientists can determine the changes in energy, momentum, and velocity that occur as a result of the collision. This information can be used to design safer vehicles, improve the accuracy of simulations, and gain a deeper understanding of the physical world.

To learn more about Collision visit here:

brainly.com/question/4322828

#SPJ4

a 10 g bullet traveling at 200 m/s is fired into a block of wood. how much heat energy is gained by the bullet as friction brings it to a stop?

Answers

Answer:

The amount of heat energy gained by the bullet due to friction as it comes to a stop can be calculated using the equation:

Q = μ * F * x

where Q is the heat energy, μ is the coefficient of friction, F is the frictional force, and x is the distance traveled. However, without more information on the coefficient of friction and the distance traveled, the exact amount of heat energy gained by the bullet cannot be determined.

if you stand next to a wall on a frictionless skateboard and push the wall with a force of 38 n , how hard does the wall push on you? express

Answers

In this scenario, if you push the wall with a force of 38 N, the wall will push back on you with an equal and opposite force of 38 N. So, the wall would push on you with a force of 38 N.

According to Newton's Third Law of Motion, for every action, there is an equal and opposite reaction.

If object A exerts a force on item B, object B must respond with a force of same size and opposite direction. This rule reflects a natural symmetry: forces always occur in pairs, and one body cannot exert a force on another without also suffering a force.

According to the first law, an object's motion will not alter unless a force acts on it. According to the second law, the force acting on an object is equal to its mass multiplied by its acceleration. When two objects contact, they apply forces of equal magnitude and opposing direction to each other, according to the third law.

For more questions on Newton's law of motion

https://brainly.com/question/25998091

#SPJ4

your friend says that there is a kind of glue that only dries when it is exposed to a special type of light. can light cause glue to dry?

Answers

No, light can not cause the glue to dry since it can only affect things by warming them up.

Can the light cause glue dry?

By initiating a photochemical reaction within the glues, resins, and inks in question, UV light can be utilized to harden those materials. Curing is the term for this process of hardening.

Why does a desk lamp's light not cure the adhesive but sunlight does?

Due to the fact that the glue may absorb energy from sunlight but not from lamplight. due to the fact that sunlight draws energy from the adhesive and a desk lamp does not.

What occurs when anything is in contact with visible light?

Visible light is necessary for understanding and appreciating art, but it also causes artifacts to deteriorate and become damaged. Light can cause color fading, yellowing, and embrittlement, among other irreversible effects.

To know more about light visit;

https://brainly.com/question/29289143

#SPJ4

what is the total energy e of a muon traveling at 99.9% the speed of light? recall that the rest energy of the muon is approximately 106mev . note that 1gev

Answers

The total energy e of a muon traveling at 99.9% the speed of light is 1.696 x 10^-11 Joules.

The total energy E of a particle, including its rest energy, is given by the equation: E = γmc^2 where γ is the Lorentz factor, m is the rest mass of the particle, and c is the speed of light. The Lorentz factor is given by γ = 1 / [tex]\sqrt{(1 - v^2/c^2)}[/tex] where v is the velocity of the particle.

In this case, the muon is traveling at 99.9% the speed of light, so v = 0.999c. Therefore:

γ = 1 / [tex]\sqrt{(1 - (0.999c)^2/c^2) }[/tex]= 22.37

The rest energy of the muon is approximately 106 MeV, which is equivalent to 106 x 10^6 electron volts. We can convert this to joules using the conversion factor:

1 eV = 1.60218 x 10^-19 J

So, the rest energy of the muon is:

m = 106 x 10^6 eV x 1.60218 x 10^-19 J/eV = 1.696 x 10^-11 J

To know more about energy here

https://brainly.com/question/13881533

#SPJ4

a 1280 kg car rounds a circular turn of radius 21 m. the road is flat and the coefficient of friction between tires and road is 0.41. the acceleration of gravity is 9.8 m/s 2 . how fast can the car go without skidding? answer in units of m/s. answer in units of m/s.

Answers

The car can go at 29 m/s without skidding calculated by using the information given in the question.

The speed of the car without skidding can be calculated using the formula v2 = rgμ, where v is the velocity, r is the radius of the turn, g is the acceleration due to gravity, and μ is the coefficient of friction between the tires and the road.

Plugging in the given values, we get v2 = (21 m)(9.8 m/s2)(0.41) = 845.8 m2/s2. Taking the square root of both sides, we get v = 29 m/s. Therefore, the car can go at 29 m/s without skidding.

For more questions like Speed click the link below:

https://brainly.com/question/28224010

#SPJ4

what is the frequency of light emitted when the electron in a hydrogen atom

Answers

The frequency at which light is emitted;  v=hΔE=6. 6×1010, when a hydrogen atom possesses an electron.

What is the sound frequency?

The number of per second that a high noise wave repeats itself is known as frequency, often known as pitch. A bullfrog cry is significantly lower in frequency than a whistles, while a cricket is much lower in frequency than a drumbeat. The oscillations are reduced with decreasing frequency.

What does a wave's frequency mean?

Frequency. Frequency is a unit of measurement for how frequently a recurrent event, like a wave, takes place over a specified period of time. A cycle is a single instance of the pattern's repetition. Only moving waves that relocate over time can exhibit frequency. The frequency of a wave can be used to estimate its speed. to describe the speed at which a wave is moving.

To know more about frequency visit:

https://brainly.com/question/2140860

#SPJ4

he outgoing radar has a frequency of 97 ghz and the returning echo from a truck has a frequency 18.1 khz higher. how fast in km/h is the truck moving?

Answers

The truck is moving at approximately 140 km/h if the outgoing radar has a frequency of 97 hz and the returning echo from the truck has a frequency of 18.1 hz higher.

The Doppler Shift Formula can be used to resolve this because it is

Δf = 2 × f × v / c

where f is the frequency change of the returning echo, c is the speed of light (3 x 108 m/s), v is the speed of the object (the truck), and f is the initial frequency of the radar signal (97 GHz) (18.1 kHz).

This equation is given by adding the numbers: v = (18.1 x 103) * (3 x 103) / (2 97% x 109)

v = 3.9 x 10⁵ m/s

Add (3600/1000) to translate this to km/h:

v = 3.9 x 105 (3600/1000) = 140,400 km/h

Learn more about frequency:

https://brainly.com/question/29739263

#SPJ4

a 23.0 kg child is riding a playground merry-go-round that is rotating at 50.0 rev/min. what centripetal force (in n) must she exert to stay on if she is 2.50 m from its center? (enter a number.)

Answers

The centripetal force required to keep the 23.0 kg child riding a playground merry-go-round that is rotating at 50.0 rev/min, and is 2.50 m away from its center is 623.0 N.

The centripetal force (Fc) required to keep the 23.0 kg child riding a playground merry-go-round that is rotating at 50.0 rev/min, and is 2.50 m away from its center is 623.0 N.

Formula to calculate the centripetal force:

Fc = mv^2/r

Where,

m = mass of the child = 23.0 kg

v = velocity of the child = 2πr/T = 2π * 2.5/60 = π/12 m/s

r = radius of the merry-go-round = 2.5 m

Substituting the values in the formula,

Fc = 23 * (π/12)^2 / 2.5

Fc = 623 N

Hence, the centripetal force required to keep the 23.0 kg child riding a playground merry-go-round that is rotating at 50.0 rev/min and is 2.50 m away from its center is 623.0 N.

Learn more about centripetal force here: https://brainly.com/question/20905151

#SPJ4

the back wall of an auditorium is 25.0 m from the stage. part a if you are seated in the middle row, how much time elapses between a sound from the stage reaching your ear directly and the same sound reaching your ear after reflecting from the back wall? the speed of sound in the air is 343 m/s .

Answers

The difference of time between a sound from the stage reaching your ear directly and the same sound reaching your ear after reflecting from the back wall would be 0.036s.

What does a sound wave echoe mean?

An echo is a reflection of sound that comes to the audience with a delay after the direct sound in audio signal processing and acoustics. The delay is directly proportionate to the separation between the source and the listener of the reflecting surface. One the kind audio effect that involves significantly delaying a signal is an echo effect. In this instance, after some period of time, listeners hear the same signal repeated clearly. When there is a noticeable delay in the sound, listeners can differentiate individual echoes.

The person seated in the middle row:

The distance sound traveled to middle row => 25/2 = 12.5m

The total distance the sound traveled to full length of auditorium and to the middle row => 25+12.5 => 37.5m

t1 => d1/v => 12.5/343 => 0.036s

t2 => d2/v => 25/343 => 0.072s

t2-t1 => 0.036s

Learn more about sound here:

brainly.com/question/8768506

#SPJ4

weber constant for the volume of sound is 1/10. a car alarm is sounding off at 60 sound units. after five minutes it is programmed to get louder. how loud does it have to be for people to preceive it as louder?

Answers

The car alarm has to reach at least 75 sound units for people to perceive it as louder.

The Weber-Fechner law states that a noticeable increase in the intensity of a stimulus is proportional to the logarithm of the increase in the physical intensity. When it comes to sound, the law says that if a sound gets louder, people will only notice a difference if the change in volume is big enough.

To calculate the minimum increase in the volume required for a sound to be perceived as noticeably louder, we can use the formula for the Weber-Fechner law: V' = V * 10^(1/10) where,

V is the initial volume V' is the new, perceived volume.

Let's say that a car alarm is sounding off at 60 units of volume. To find the minimum increase in the volume required for the car alarm to be perceived as noticeably louder, we can plug in the initial volume into the formula:

V' = 60 * 10^(1/10)

= 60 * 1.25992105

= 75

So, according to the Weber-Fechner law, the car alarm would have to reach at least 75 units of volume for people to perceive it as noticeably louder.

Learn more about the Weber-Fechner law here:

https://brainly.com/question/14529994

#SPJ4

the south celestial pole and the north celestial pole lie in the sky directly along what?

Answers

In the sky just above the Earth's axis are the south and north celestial poles.

What is the name of the place in the sky right over the South Pole?

The Southern Celestial Pole lies located precisely above the Southern Axis of the Earth, as you may already be aware. It is the location where the whole southern sky seems to revolve. Above Earth's northern and southern poles are the south and north celestial poles.

What latitude do the south and north celestial poles fall?

The two places in the sky where the axis of rotation of the Earth crosses the celestial sphere are known as the north and north celestial poles. Investigators at Humanity's North Pole the South Pole, respectively, see the northern and southern celestial poles as being straight overhead all the time.

To know more about celestial visit:

https://brainly.com/question/28902610

#SPJ4

a hockey player makes a slap shot exerting a constant force of 30.0 n on the hockey puck for 0.16 seconds. what is the magnitude of the impulse given to the puck?

Answers

The magnitude of the impulse given to the puck is 4.8 Ns.

I = F * t

where,

I = impulse = ?

F = force = 30.0 N

t = time = 0.16 s

I = (30.0 N) * (0.16s)

I = 4.8 Ns

In classical mechanics, the integral of a force, F, over the time period over which it acts, t, is referred to as the "impulse," denoted by the symbols J or Imp. Impulse also qualifies as a vector quantity since force does. When an object receives an impulse, its linear momentum also changes in direction and undergoes an analogous vector change. The newton second (Ns), a SI unit of impulse, and the kilograms meter per second (kgm/s), a SI unit of momentum, are identical in terms of dimensions.

To know more about impulse click here:

https://brainly.com/question/2193212

#SPJ4

a 968 kg car is moving at a speed of 17 m/s. friction exerts a force of -2100 n. what is the stopping distance of the car?

Answers

Divide the square of the velocity by the sum of the acceleration caused by gravity multiplied by two times the friction coefficient. a = 2.5 m/s2. = 2500 N.

How far can you stop altogether?

The observation distance, reaction distance, and braking distance are added up to form the total stopping distance. Shortly after the driver decides to slow down or stop, some time has passed. The response distance is the length of time it takes too respond and enter the proper braking position.

What are some examples of friction of distance?

For every 10 meters, taking an level path along a road encircling the mountain is substantially less expensive (in terms of both effort and time), but the overall cost increases over a much greater distance. The frictional of distance is measured in each case by the time and/or effort needed to go ten meters.

To know more about friction visit:

https://brainly.com/question/13000653

#SPJ4

a student builds the apparatus shown above. a light string is attached to an object of unknown mass and passed through a tube such that the other end of the string is attached to a second object of mass m. by holding on to the tube, the student swings the object of unknown mass in a horizontal circle of radius r while the object of mass m hanging from the string remains at a constant height. in each trial, the radius r of the circular path is changed and the tangential speed v of the object of unknown mass is calculated. how can the student determine the value of the unknown mass by using the radius of its circular path and its speed?

Answers

The unknown mass can be determined by substituting the values of F, v, and r into the equation and solving for m.

You can calculate the unknown mass using the radius of the circular path and the tangential speed of the object.

This is done by using the equation F = ma, where F is the centripetal force needed to keep the object in its circular path, m is the mass of the object and a is its centripetal acceleration.

To calculate the centripetal acceleration, you can use the equation a = v² / r, where v is the tangential speed and r is the radius of the circular path.

To find the centripetal force needed to keep the object in its circular path, you can use the equation F = m(v² / r). Solving for m, you get m = F / (v² / r).

Therefore, the unknown mass can be determined by substituting the values of F, v, and r into the equation and solving for m.

Learn more about centripetal acceleration:

https://brainly.com/question/22103069

#SPJ4

a coin of 3 cm diameter is placed 3 m in front of a parallel wall on which is hung a circular flat mirror. a person stands 9 m from the wall. what is the smallest- diameter mirror in which the observer can just see the reflected edge of the coin (i.e., the image of the coin just fills the mirror)?

Answers

Using mirror's equation, The smallest diameter mirror in which the observer can just see the reflected edge of the coin is 6 cm.

We must compute the size of the mirror's produced image in order to identify the lowest diameter mirror that would allow the spectator to just view the coin's reflected edge.

We must first determine how far the picture is from the mirror. In order to compute this, use the mirror equation:

[tex]\frac{1}{f} = \frac{1}{d} + \frac{1}{d'}[/tex]

where f is the mirror's focal length, d and d' are the object's and image's distances from the mirror, respectively.

Since the mirror is flat, the focal length is determined by dividing the radius in half. Therefore, we may apply the formula:

[tex]f = \frac{R}{2}[/tex]

This results from substituting it into the mirror equation:

[tex]\frac{2}{R} = \frac{1}{3} + \frac{1}{d'}[/tex]

Calculating d':

[tex]d' = \frac{3R}{ (R-6) (R-6)}[/tex]

The mirror's diameter, D, is equal to 2R. As a result, the minimal diameter of the mirror, at which the spectator can only see the coin's edge reflected, can be calculated as follows:

[tex]D = 2R = \frac{2d' (R - 6)}{ 3}[/tex]

d' = 9, thus we can condense it to:

D = 18 / 3 = 6 cm

To know more about mirror problems, check out

brainly.com/question/30241851

#SPJ4

what are the magnitude and direction of the electric field set up by the proton at the position of the electron in the hydrogen atom? (radius of orbit

Answers

The magnitude and direction of the electric field set up by the proton at the position of the electron in the hydrogen atom is determined by Coulomb's Law , which states that the force between two charges is proportional to the product of the two charges and inversely proportional to the square of the distance between them.

The magnitude of the electric field is given by the equation: E = k q1/r2, where k is the Coulomb constant (8.99 x 109 Nm2/C2), q1 is the charge of the proton (1.60 x 10-19 C) and r is the distance between the proton and the electron (5.3 x 10-11 m). The direction of the electric field is from the proton to the electron.

Learn more about magnitude and direction of the electric field:

https://brainly.com/question/28261263

#SPJ4

most rooms have hard flat walls. however music studios have soft foam like material on them. studios use these materials to avoid which wave behavior?

Answers

This indicates that in order to reduce reverberation and control the flow of sound, the walls have been reinforced with specific materials, such as foam or fabric.

Why are the walls in recording studios foamed?

Acoustic remedies primarily consist of foam. This is due to the fact that open cell foam stops sound from reflecting off of solid objects. The studio's proximity to adjacent rooms also reduces outside noise.

What do recording studio walls consist of?

To reduce fuzzy background noise, absorb echoes, and produce excellent sound clarity for the sounds you are trying to record, acoustic sound panels can be put on the walls or ceiling of your studio.

To know more about solid objects visit:-

https://brainly.com/question/10623155

#SPJ1

a car starts from rest, after 10 s the speed of the car is 25 m/s. what is the magnitude of the car's acceleration?

Answers

the magnitude of the car's acceleration is 2.5 m/s^2.

The change in velocity (delta v) over time can be used to determine the amount of an automobile's acceleration (delta t). Acceleration is calculated as follows:

a = Δv / Δt

Given that the car begins at rest (with a beginning velocity of v0 = 0 m/s) and reaches a final speed of 25 m/s after 10 seconds, the acceleration can be calculated as follows:

v = beginning velocity - ultimate velocity.

Δv = 25 m/s - 0 m/s

Δv = 25 m/s

Δt = 10 s

A = 25 m/s/10 s for a = v/t.

a = 2.5 m/s^2

Consequently, the automobile accelerates by 2.5 m/s2.

To know more about acceleration, click here,

brainly.com/question/460763

#SPJ4

Which of the following is a velocity? (Select 2)
5 m/s
5 m south
50 mph west
5 m/s north

Answers

5 m/s north is the velocity. So, the correct option is D.

What is Velocity?

Velocity ​​is defined as the directional motion of an object, as indicated by the rate of change of position as observed from a particular frame of reference and measured by a particular standard of time.

Velocity is the vector quantity as it has both magnitude as well as direction. It is expressed as

Velocity= Displacement/ Time Taken

It's SI unit is meter/second. In given example, Option D has both magnitude as well as direction which is the correct option

Thus, 5 m/s north is the velocity. So, the correct option is D.

Learn more about Velocity, here:

https://brainly.com/question/18084516

#SPJ1

5 m/s north is a velocity. Therefore, the correct option is option D among all the given options.

What is velocity?

In physics, velocity is characterized as a vector measure of the motion's direction and speed. To be more precise, the change rate in an object's location relative to a reference frame and time is another way to describe velocity.

The definition of velocity simply states the rate of motion of an item in a certain direction. It determines how quickly or slowly something is going. Consider a scenario in which there are two moving items. If both items are going in the same direction, it is simple to determine which one is moving much faster than the other. 5 m/s north  is a velocity.

Therefore, the correct option is option D.

To know more about velocity, here:

https://brainly.com/question/80295

#SPJ1

Other Questions
The volume of a rectangular prism is represented by the expression (2x ^ 3 + 7x ^ 2 - 9) the height of the prism is (2x + 3) what are expressions for the length and width of the prism? there isnt any seasonal change at the equator because it In "The Gift of the Magi" O.Henry sets up situational ironysurrounding the areas ofpoverty, love, and Christmas.Review the underlinedpassage from section 6. Whicharea (poverty, love, orChristmas) is O, Henrydeveloping in this section?A. loveB. ChristmasC. poverty What is your sign of the zodiac if you were born on Groundhog day? A. Aries B. Aquarius C. Gemini D. Capricorn Southeast Electric charges $0.09 per kilowatt-hour for the first 200 kWh. The company charges $0.11 per kilowatt-hour for all electrical usage in excess of 200 kWh. How many kilowatt-hours were used if a monthly electric bill was $57.06? grays company has inventory of 11 units at a cost of $6 each on august 1. on august 3, it purchased 21 units at $9 each. 13 units are sold on august 6. using the perpetual fifo inventory method, what amount will be reported as cost of goods sold for the 13 units that were sold? Which of the following is not a typical technique for requirements analysis?a.) Observing the customerb.) Building prototypesc.) Determining which features will be most valuable by analyzing usage datad.) Interviewing the customere.) All of the above are typical techniques for requirements analysis problem 10. (10 pts) determine if each of the following sets is a subspace of pn for an appropriate value of n. you should use the subspace test from the lectures to show that a given set is a subspace, or, if it is not a subspace, exhibit one of the axioms of a vector space that fails to be satisfied. (a) w1 is the set of all polynomials of the form p(t) Read the story "An Unsuspecting Hero."This was not happening. I was not staring into the giant black eyes of an alien. Nope, I was definitely dreaming. I rubbed my eyes and blinked as hard as I could, but when I opened them, she was still standing there. Her skin was a shimmery purple, and she had tiny silver polka dots across her face. Her head tilted slowly from side to side like a broken seesaw trying to give one last ride. Sweat trickled down my back and across my forehead. I wanted to wipe it from my brow, but I was paralyzed. Nope, I couldn't move at all. I was afraid that any movement would make her decide she wanted earthling stew for dinner. I gulped hard at the thought. I suddenly realized that she was bouncing on her feet with excitement. A tiny mouth appeared out of nowhere and spread across her spotted face in a huge grin. Without warning, she darted forward reaching her arms out for me. I let out an embarrassing squeal and threw my hands over my face. But nothing happened. When I finally moved them, I saw her a few feet away rummaging through my backpack. What was she searching for? She pulled out a pencil and held it high in the air. "Yes!" she shouted. "This will work!" She was almost shaking with joy as she clung to my half-chewed number two pencil. She sprinted over to me and wrapped her long arms around me in a hug. Then she let go and breathed in deeply. "Sorry if I scared you," she said. "My ship crashed, but I can use this to fix it. You just saved me!" I let out a deep breath and smiled nervously. "Happy to help," I said.What is the perspective of the human at the beginning and end of the story? Afraid, then relieved Excited, then scared Nervous, then upset Thrilled, then entertained In the video case living in a digital society, what country was discussed as having a comprehensive egovernment program using digital technologies? a 6-year-old client is presenting with signs and symptoms of fever, cough, stuffy nose, general malaise, and muscle aches. the nurse prepares to administer which medication to this client? what is max, the maximum wavelength of the incident light that can cause electrons to be emitted from the metal? twelve-year-old cade is able to construct complete, accurate, meaningful sentences, but struggles with taking turns in a discussion. he is having communication difficulty in the area of A) Find the slope of the line passing through the points (8, -4) and (8, 8).B) Find the slope of the line passing through the points (3, 4) and (3, 4). The approximate amount of calories, c, that a dog needs each day is represented by C=72M^3/4, with m being the dog's weight in KG. How many calories would a 64 kg dog need? (Radicals and Rational Exponents) What is the legacy of J. J. Thomson's experiment that led to the identification of the electron?Please help QuESTION 15 Which difficulty of range as measure 0f 'variability is overcome by interquartile range? a. The range is difficult to compute b. The range is influcnced t0o much by extreme values The sum of the range variances is ZEtO d. The range is negative Generally, which one of the following is the least appropriate measure of central tendency for a data set that contains outliers? a. mean b. median c. 2nd quartile d. 50th percentile there are 43 students in the university travel club. the following information and venn diagram show how many students traveled to germany, france, and spain. how many students have been to germany or france but not spain? .... had a complicated relationship with European settlers.