a projectile is fired in such a way that its horizontal range is equal to 12 times its maximum height. what is the angle of projection?

Answers

Answer 1

The angle of projection of the fired projectile is θ = sin⁻¹[tex]\frac{(g*R)}{(6*V_{0} ^{2} )}[/tex]/2

The horizontal range of a projectile is given by the equation:

R = V₀² * sin(2θ) / g

where R is the horizontal range, V₀ is the initial velocity, θ is the angle of projection, and g is the acceleration due to gravity (approximately 9.8 m/s²).

Given that the horizontal range is equal to 12 times the maximum height, we can use the following equation for the maximum height:

H = V₀² * sin²(θ) / 2g

So, we can substitute the expression for H into the equation for R to get:

R = 12 * V₀² * sin²(θ) / 2g

Now we can equate the two expressions for R and solve for θ:

R = V₀² * sin(2θ) / g = 12 * V₀² * sin²(θ) / 2g

2g * R = V₀² * sin(2θ) = 12 * V₀² * sin²(θ)

sin(2θ) = (2g * R) / (12 * V₀²)

2θ = sin⁻¹((2g * R) / (12 * V₀²))

θ = sin⁻¹[tex]\frac{(g*R)}{(6*V_{0} ^{2} )}[/tex]/2

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Related Questions

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.

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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)?

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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.

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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

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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.

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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?

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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

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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.

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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.

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the constellation whose stars are used as pointers to the north celestial pole in the northern hemisphere at this time in history is

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Polaris, which is the tip of the handle of the Little Dipper or the tail of the little bear in the constellation Ursa Minor, is indicated by the two stars at the end of the Dipper's "cup."

What is special about Ursa Minor?

Polaris, the North or Pole Star, is by far the most important and well-known star in Ursa Minor. The star at the very end of the bear's lengthy tail is this. Polaris is significant because it is practically immediately over the North Pole. This means you can use it as a compass to locate your way north.

The Indian name for the constellation Ursa Minor is Laghu Saptharishi where 'Laghu' means 'Small'. The name is sequential with the name Saptharishi for the constellation Ursa Major.The Ursa Minor Dwarf is a dwarf spheroidal galaxy discovered during the Palomar Sky Survey in 1955 by A.G. Wilson of the Lowell Observatory in the United States. It is a Milky Way satellite galaxy that may be found in the constellation Ursa Minor.

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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.

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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.

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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.

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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.

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

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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.

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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.

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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.

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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.

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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

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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

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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.

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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

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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.

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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.

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.

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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.

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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.

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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.

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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.

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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

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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.

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

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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.

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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.

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