a 0.25 m radius grinding wheel is rotating with a constant angular speed of 2.0 rad/s. what is the linear displacement of the wheel after 3.0 s?

Answers

Answer 1

The linear displacement of the wheel will be 1.5m.

Linear displacement is the measure of straight path covered by the object .

Rotating angular speed of the wheel = 2.0 rad/s

Radius of the wheel = 0.25 m

According to the angular speed and linear speed relationship, we can say that linear speed is the product of angular speed and the the radius of the object

Mathematically, v = r * ω

V = linear velocity

r = radius of the wheel

ω = angular velocity

V = 0.25 * 2

V = 0.5 m/s

Also, speed is equal to distance upon time.

V = d/t

Time at wheel the the wheel's linear distance is to be found = 3 s

therefore d = V * t

d = 0.5 * 3

d = 1.5 m

The linear displacement of the wheel after 3.0 s is 1.5 m.

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Related Questions

At some point during construction, the International Space Station had a
mass of 235,565 kg. When it orbited the Earth at an altitude of 400,000 m,
what was the approximate gravitational force on the Station due to Earth's
gravity? (Recall that Earth has a radius of 6.37 × 106 m, it has a mass of 5.97
x 1024 kg, and G = 6.67 x 10-¹1 Nm²/kg².)

Answers

The gravitational force exerted on the International Space Station by the gravity of the Earth is approximately 0.00026680N.

The force of gravity, or gravitational pressure, pulls objects with mass in the direction of every other. We regularly consider the pressure of gravity from Earth. This force is what continues your body on the ground. but any object with mass exerts a gravitational force on all other items with mass.

The force of appeal on a body with the aid of earth is referred to as gravitational force. Example : The leaves and end result fall from a tree downwards closer to the ground, water in a river flows down streams, a ball thrown up goes to a peak and then returns back on floor are a few examples of motion due to gravitational force.

Earth's gravity comes from all its mass. All its mass makes a blended gravitational pull on all the mass for your body. that's what gives you weight. And if you were on a planet with less mass than Earth, you would weigh less than you do here.

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In order to calculate the net torque for an object in static equilibrium, the pivot point __________.

Answers

In order to calculate the net torque for an object in static equilibrium the pivot point can be any convenient location.

Multiplying the moment arm by the magnitude of each force gives the magnitude of the torque due to each force. Determine whether each torque is clockwise or counterclockwise, and give each the appropriate sign when summing the torques and setting this sum to zero for balanced torque conditions.

For an object to maintain static equilibrium two equilibrium conditions must be met. First, the net force acting on the object must be zero. Second, the net torque acting on the object must also be zero. A pivot point is a technical analysis indicator or calculation used to determine the overall trend of the market over various time periods.

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A cheerleader lifts his 68.6 kg partner straight
up off the ground a distance of 0.601 m before
releasing her. Assume the partner’s velocity
is zero at the beginning and the end of the lift.
The acceleration of gravity is 9.8 m/s
2
.
If he does this 30 times, how much work has
he done?
Answer in units of J.

Answers

Answer:

12 121 J

Explanation:

PE gained each time = m g h

  now 30 times:        30  mgh = 30 * 68.6 * 9.8 * .601 = 12 121 J

Answer: 12121.2084

Explanation:

If you start with 1 m naoh and 40 ml of 1 m acetic acid, how many ml of the naoh will be required to reach the equivilence point?.

Answers

There are 40 ml of NaOH will be required to reach the equivalence point.

The equivalence point is the midpoint of the vertical portion of the curve. This corresponds to a NaOH volume of 26 ml and a pH of 8.57. Half the equivalence point corresponds to a volume of 13 ml and a pH of 4.6. The titration Ka value is 4.6. No effect. The volume at the equivalence point is determined by the number of moles of acid present.

In the reaction between acetic acid and sodium hydroxide acetic acid protonates the hydroxide ion and acts as an acid. Hydroxide ions accept protons and act as bases. Equivalent points are very easy to find. Simply place the pH meter in the solution to be titrated add various volumes of titrant measure the pH and create a titration curve. You can then read the equivalent points from the curve.

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A large semitrailer truck and a small car have equal momentum. How do their speeds compare?.

Answers

Answer:

Explanation:

p = m·V - momentum

p₁ = p₂

m₁·V₁ =  m₂·V₂

V₁ / V₂ = m₂ / m₁

The ratio of velocities is inversely proportional to the ratio of masses

a crate is lifted vertically 1.5 m and then held at rest. the crate has weight 100 n (i.e., it is supported by an upward force of 100 n). how much work is being done to hold the crate 1.5 m above the ground in this way?

Answers

The required work to hold the crate above the ground is 150 joule.

We need to know about the work done to solve this problem. The work done by an object depends on the force applied and the distance. The work is proportional to force and displacement. It can be written as

W = F . s

where W is work done, F is the force and s is displacement

From the question above, the given parameters are

F = 100 N

s = 1.5

Thus, the required work to hold the crate above the ground can be calculated

W = F . s

W = 100 . 1.5

W = 150 joule

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what did you observe when cart a containing added mass collided with cart b containing no mass? how does the law of conservation of momentum explain this collision?

Answers

A smaller mass coming near a larger mass will bounce back in a collision. If a larger mass is first of all moving in the direction of a smaller mass, both will preserve the momentum in the route of the preliminary momentum.

All through a collision, the full momentum of the machine of both carts is conserved due to the fact the net force on the machine is zero. If the momentum of 1 cart decreases, the momentum of the opposite cart will increase by the identical quantity.

Each cart comes toward the other in a head-on collision. If each cart has identical hundreds and speeds then they will each come to rest after they hit the Velcro pads. This collision is completely inelastic: all of the kinetic energy disappears.

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If you wanted to search for faint rings around a giant planet by sending a spacecraft on a flyby, it would be best to make your observations.

Answers

If we wanted to search for faint rings around a giant planet by sending a spacecraft on a flyby, it would be best to make your observations after the spacecraft passed the planet.

The primary demanding situations involved in sending probes to the giant planets are distance, environment, and low energy levels. All gasoline large planets namely Jupiter, Saturn, Uranus, and Neptune inside the sun gadget have jewelry, at the same time as the terrestrial planets like

Mercury, Venus, Earth, and Mars are no longer.in observations of other planets, Mercury is hard to explore. the rate required to attain it is pretty excessive, and its proximity to the sun makes it difficult to maneuver a spacecraft into a solid orbit around it.

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What is the normal result of the trade winds blowing from South America to Indonesia and Australia?

Group of answer choices

Warm water is pushed west

South America develops a cool climate

Cool water comes to the surface off the coast of South America

Warm water produces rainy weather in Indonesia and Australia

Warm water spreads across the ocean and slows the trade winds

Answers

The normal result of the trade wind blowing from South America to Indonesia and Australia warm water produces rainy weather in Indonesia and Australia. Option D

What are trade winds?

We know that the trade winds are the winds that tend to originate at the north east or the south eastern parts of the hemisphere and tend to be blowing across the seas towards the equator. Thus we can see that the focus of the trade winds is the equator and they emanate from north or south.

One of the effects of the trade winds is that they make the wind warmer and that would make to the emergence of a warmer weather and this would spread to the other parts of the word as we can see from map studies.

The effects of the trade winds  blowing from South America would tend  to be much more felt around the areas of  Indonesia and Australia and this is very important to weather changes around those areas.

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A car is moving at
3.06m/s north.
There are 5 forces acting on it. A 6.59N force of air resistance to the south. A 8,507.74N force of gravity pulling it toward the ground. A 8,507.74N normal force pushing it up away from the ground. A 147.43N force from the engine pushing it
North, and a 22.81N force of friction
pulling it south.
Calculate the net force on the car.

Answers

Answer:

Explanation:

Given:

V = 3.06 m/s   (North)

F₁ = 6.59 N  (South)

F₂ = 8 507.74 N (toward the ground)

F₃ = 8 507.74 N ( up away from the ground)

F₄ = 147.43 (North)

F₅ = 22.82 (South)

__________

R -?

Forces F₂ and F₃ balance each other.

Resultant force:

R = F₄ - F₁ - F₅

R = 147.73 - 6.59 - 22.81 = 118.33 N

What happens to the gravitational force between two particles if the distance between them is doubled?.

Answers

The gravitational attraction between two objects is reduced by a factor of 4 when the separation distance between them is doubled.

What produces the gravitational pull?

According to Newtonian mechanics, the "pull" of gravity is caused by mass. There is only a pull between any two masses and each additional mass. Although the magma itself does not produce gravitational force, the gravitational force is a result of the magma's extreme heat.

What are the benefits of gravitational force?

The earth is kept in its orbit by the gravitational pull of the sun, which protects it from straying into interstellar space. We are anchored to the surface of the earth by the gravitational pull of the planet.

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determine the maximum magnetic field strength if the maximum electric field strength in an electromagnetic wave is 148 kv/m.

Answers

49.3 × [tex]10^{-8}[/tex] T is the maximum magnetic field strength if the maximum electric field strength in an electromagnetic wave is 148 kv/m.

B=E/C

B = magnetic field

E = electric field, 148 kv/m

C = speed of light, 3 × [tex]10^{-8}[/tex] m/s

Put these values in formula, B = E/C

B = 49.3 × [tex]10^{-8}[/tex] T

Hence, magnetic field strength is 49.3 × [tex]10^{-8}[/tex] T .

Electromagnetic waves are waves that are created due to vibrations between an electric powered field and a magnetic field. In different phrases, EM waves are composed of oscillating magnetic and electric powered fields.

Electromagnetic waves differ from mechanical waves in that they do now not require a medium to propagate. Which means that electromagnetic waves can tour now not handiest thru air and stable materials, however also thru the vacuum of space.

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if the radio waves transmitted by a radio station have a frequency of 92.5 mhz, what is the wavelength of the waves, in meters?

Answers

The wavelength of the waves in meters is 3.24.

Solution:

c = λ*μ

where c=speed of the light,λ = wave length, μ = frequency

c = 3*[tex]10^{8}[/tex] m/s

λ = c/μ

= 3*[tex]10^{8}[/tex]/92.5*[tex]10^{6}[/tex]

= 3.24

Wavelength is calculated as the ratio of velocity to frequency, or wave velocity divided by wave frequency. The wavelength calculator uses 2 known values to calculate the third. Note that the standard units for wavelength are meters, seconds, and hertz. When the frequency is multiplied by the wavelength.

It yields the speed of the wave. Electromagnetic waves always travel at the same speed in a vacuum. Radio waves, on the other hand, have the lowest energy, longest wavelength, and lowest frequency of all types of EM radiation. The sections of the EM spectrum are named in order of increasing energy gamma rays X-rays ultraviolet-visible light infrared and radio waves.

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A major piece of evidence supporting the big bang theory is the observation that wavelengths of light from stars in distant galaxies show a.

Answers

A major piece of evidence supporting the big bang theory is faraway galaxies' stars' electromagnetic radiation reveals a change known as a "redshift," which makes the wavelengths look longer than they actually need to be.

 

Evidence of the universe's expansion comes from the Doppler redshift of light from far-off stars and galaxies (moving away from a central point). This makes the Big Bang Theory possible because, after the first "bang," all of the matter goes away from its origin.

The only procedure that we are aware of that can lengthen wavelengths occurs when the wave's origin is moving away from the observer. Therefore, we think that this is what is causing all of the radiation from far away. Extended wavelengths of galaxies, bring us to the idea that the universe is expanding.

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3. A ship's diesel engine has a power output of 13.0 W (13.0x 10° W). How
much work is done by this engine in 15.0 min?

Answers

The work done by the engine with a power output of 13.0 W in 15.0 min is  11.7 KJ

P = W / t

P = Power

W = Work done

t = Time

P = 13 W

t = 15 m

t = 15 * 60

t = 900 s

W = P * t

W = 13 * 900

W = 11700 J

W = 11.7 * 10³ J

W = 11.7 KJ

Therefore, the work done by the engine is 11.7 KJ

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after a capacitor is charged, it is removed from the power source. the separation between the plates is 4.0 mm and the electric field at a midpoint between the plates is 200 v/m. when the plates are pushed to a separation of 2.0 mm, the electric field at midpoint between the plates is:

Answers

The electric field at midpoint between the plates will be 200 v/m.

Since the capacitor is charged, it has an electric field between its plates. When the capacitor is removed from the power source, there is no longer a force pushing electrons onto one plate and off of the other, so there are still equal numbers of positive and negative charges on each plate. This means that the electric field remains unchanged from when it was fully charged.

When you push the plates together to 2 mm apart, this causes more surface area to be covered by electrons. This means that more electrons will be pushed onto one plate than off of it until they are evenly distributed across both plates again.

This means there will be more negative charge on one plate than positive charge on the other—the same way it was before you pushed them together—and therefore an increased electric field between them at midpoint between their surfaces.

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Two construction workers are attempting to pull a slab of concrete off of the ground. Each of the workers are pulling up with a force of 225 n, while the slab of concrete applies a gravitational force of 400 n in the opposite direction, remaining stationary. If the pulling forces applied to the slab of concrete are assigned a positive value, what is the net force of the scenario, and in which direction will the slab of concrete move?.

Answers

50 Newton force  of the scenario when e workers are pulling up with a force of 225 n, while the slab of concrete applies a gravitational force of 400 n in the opposite direction,

resultant force =225 + 225 - 400 = 50 N

An object experiences a push or a pull when it interacts with another thing. When two objects touch, a force is applied to each object. The force between the two items is lost after the interaction is over. Forces do not exist independently; they are only interactions.

Contact forces are produced when two things interact and appear to be in physical contact with one another. Frictional forces, tensional forces, normal forces, air resistance forces, and applied forces are a few examples of contact forces. Action-at-a-Distance forces are present even when two interacting objects are apart from one another.

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what is the angular speed of the wheels (in rad/s) when the linear speed of the bicyclist reaches 10.0 m/s?

Answers

The answer is 28.98 rad/s.

Solution:

v = 10m/s

v = RW

= W = [tex]\frac{V}{R} = \frac{10}{0.345} = 28.98 rad/s[/tex]

Angular velocity is measured in radians per unit of time because it is the rate at which the central angle swept by an object changes as it moves around a circle. Linear velocity is measured in units of distance per unit of time. Angular velocity is a measure of rotation per unit of time. Represents the angle of rotation in a given amount of time.

Linear velocity is a measure of the concrete distance traveled by a moving object. The speed at which an object travels in a straight line path is called linear velocity. Simply put, it is the distance traveled in a straight line path in a given amount of time. Velocity is the rate of change of an object's position over a specified time range. When an object moves along a straight line path, its speed is called linear velocity.

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an eight-turn coil encloses an elliptical area having a major axis of 40.0 cm and a minor axis of 30.0 cm (see figure). the coil lies in the plane of the page and has a 5.90-a current flowing clockwise around it. if the coil is in a uniform magnetic field of 2.08 10-4 t directed toward the left of the page, what is the magnitude of the torque on the coil? hint: the area of an ellipse is a

Answers

The magnitude of the torque on the coil is 11.13 x [tex]10^{-4}[/tex] Nm.

How to determine the torque?

According to the question we have the following data:

Number of turns of the coil N = 8 ("an eight-turn coil")

Semi-major axis of the ellipse:

⇒ a = [tex]\frac{40}{2}[/tex] cm

a = 0.2 m

Semi-minor axis:

⇒ b = [tex]\frac{30}{2}[/tex] cm

b = 0.15 m

Current in the coil ⇒ i = 5.9 A

Magnetic field ⇒ B = 2.08 x [tex]10^{-4}[/tex] T

The angle between the normal and the magnetic field is 90°.

So, the torque on the coil is given by:

τ = NiABsinθ

Where, A be the area of the coil.

Area of ellipse

⇒ A = π ab

⇒ A = 3.14 x 0.2 x 0.15

A = 0.0942 m²

τ = NiABsinθ

⇒ τ = 8 x 5.90 x 0.0942 x 2.08 x [tex]10^{-4}[/tex] x Sin 90°

⇒ τ = 11.13 x  [tex]10^{-4}[/tex] Nm

Thus, the torque is 11.13 x [tex]10^{-4}[/tex] Nm

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which of the following is characteristic of newborn appearance? having a misshapen or elongated head? fine body hair called lanugo blue or grayish skin color swelling, bruising, peeling skin, and birthmarks all of the above

Answers

The characteristic of newborn appearance is fine body hair called lanugo, blue or grayish skin color swelling and so on, which means all of the above statement is correct.

What is Reproduction?

The biological process by which brand-new, distinct organisms—their "offspring"—are formed from their "parent" or "parents" is known as reproduction (often referred to as procreation, breeding, fertilization). Every individual organism on Earth exists as a result of reproduction, which is a fundamental element of all life as we currently understand it. Asexual and sexual development are the two types of reproduction.

Without the assistance of another organism, an organism can reproduce through asexual reproduction. Not just single-celled organisms can asexually. Asexual reproduction takes place during the cloning of an organism. An organism makes a replica of itself that is genetically identical to it through asexual reproduction. Biologists struggle to understand how sexual reproduction evolved.

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What is the velocity of a dropped object after it has fallen for 27 s?

Answers

Answer:

front what distance

Explanation:

fulfill

Answer:

264.6 m/s

Explanation:

Using the formula, V = Vo + at, we know that the starting velocity of the object is 0, that a, acceleration, is 9.8 for any object that is moving on the y-axis. Time is given which is 27 seconds.

V = 0 + (9.8)*(27)
V= 264.3

if you walk up a flight of stairs at constant speed, gaining vertical height h, the work done on you is

Answers

According to the solving the work done by the boy against the force of gravity is mgh.

What does gravity mean in modern terms?

The curvature of space and time caused by huge objects is what causes gravity, which is essentially geometry. The degree to which a coordinate within space-time is invisibly bent determines the strength of something like the gravitational "field" at any given place in time or space. Massive items slide down these curves in the direction of one another.

Is the force of gravity real?

Yes, there is gravity, but not in the way you might think of it. In other words, gravity does not interact directly, typically, or at a distance between two objects. However, gravity is a force in a more general sense since it symbolizes the interaction that takes place when two masses are close to one another.

According to the given data:

The mass of the boy, m

The height of the stair, h

We know that :

F = mg

The displacement in the upward direction

S = -h

The work done by the force of gravity on boy.

W = Fs

  = mg(-h)

   = -mgh

According to the solving the work done by the boy against the force of gravity is mgh.

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Present the results of the following operations using the proper number of significant digits. Your Calculaor Should Be Displays Recorded As 1.2856 + 10.1 = 155-0.521 = 155-0.52 = 1558 × 12= 3.585 ÷ 1.2 =

Answers

the outcomes of the subsequent procedures when the correct number of significant digits is used. Your Calculator Should Show 1.2856 + 10.1 = 11.3856, 155-0.52 =154.479, 1558*12=18696,3.585÷1.2 =2.9875

(i) 1.2856+10.1

1.2856 →5 significant digits

10.1      →3significant digits

------------------------

11.3856

should be round off 3significant digits

1.3(should contain same digit after decimal)

10.1   →(dobut full digit )

---------------------------

11.4

(ii) 155-0.521 =154.479(calculator display)

155  (doubt  full digit, after that should be dropped)

   0.521

--------------------------

155 →should be but after round off doubt full digit

(iii) 155-0.52

calculator display:155.52

155.

    0.

------------------------------

155.0 (155 should be)

(iv) 1558*12 =18696

1558*12=18696

=19000(round off  up to 2 significant value)

(v) 3.585÷1.2 =2.9875

                     =3.0(should be)

The digits in a number that is trustworthy and required to denote the quantity of anything are known as significant figures, also known as the significant digits, precision, or resolution, in positional notation.

If a measurement result (such as a length, pressure, volume, or mass) is expressed as a number with more digits than those permitted by the measurement resolution, only the digits allowed by the measurement resolution are trustworthy, and only these can be significant figures.

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When the proper number of significant digits is utilized, the results of the succeeding operations are 1.2856 + 10.1 = 11.4, 155-0.52 = 155, 1558*12=19000, and 3.5851.2 = 3

(a) 1.2856+10.1= 11.3856(calculator display)

5. Significant digits in 1.2856

10.1 with three significant digits.

The result of adding is 11.3856.

If we round 1.2856 to three significant digits, we obtain 1.3 (which should have the same digit after the decimal), then we add that to 10.1 to get 11.4

(b)155-0.521 =154.479. (calculator display)

Currently, we can see the double full digit 155, which should be but is actually full digit 155-0.52 on the calculator display:

155.52  Then 155.- 0. = 155.0

(c) 1558*12 =18696(calculator display)

1558*12 = 19000(round off up to 2 significant value)

(d)3.585÷1.2 =2.9875(calculator display)

3.585÷1.2 = 3.0(should be)

A reliable number's digits are those that Significant figures, often known as the necessary or required digits, are those in a number that are reliable and used to indicate the amount of anything.

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what is the approximate current flowing through the thermistor at room temperature when your circuit is powered by 9 v?

Answers

To learn about the thermistor.

What is thermistor?

A thermistor is a resistor with temperature-dependent resistance, also known as a resistance thermometer. The word combines the words "thermal" and "resistor." Metal oxides are used to create it, which is then pressed into a bead, disk, or cylindrical shape before being encased in an impermeable substance like epoxy or glass.

What is current?

An electrical charge carrier flow known as "current" typically involves electrons or atoms deficient in electrons. The capital letter "I" is frequently used as a symbol for current. Amperes are the common unit and are denoted by the letter A.

R= 100000hm

V=9V

V=IR

I=V/R

I=9/100000

I=0.9 mA.

Therefore, the current flowing through the thermistor at room temperature when your circuit is powered by 9 v is 0.9mA.

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compute the acceleration due to gravity on the surface of venus from these data. express your answer in meters per second squared.

Answers

Newton's law of gravitation says that the magnitude f of the force exerted by is f = Gmm/r² and acceleration due to gravity Gm/r².

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

The gravitational constant, denoted by the capital letter G, is an empirical physical constant involved in the calculation of gravitational effects in Sir Isaac Newton's law of universal gravitation and in Albert Einstein's theory of general relativity.

f = Gmm/r²

Newton's law of gravitation says that the magnitude f of the force exerted by is f = Gmm/r² and acceleration due to gravity Gm/r².

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A golfer is enjoying a day out on the links. What maximum height will a 329.7 m drive
reach if it is launched at an angle of 22.0◦ to the ground? The acceleration due to gravity is 9.81 m/s. Answer in units of m.

Answers

The maximum height will be 0.55m.

What is Maximum Height?

This refers to the highest height of the object in projectile motion and it is dependent on the initial velocity, the launch angle, and the acceleration due to gravity. It is measured in “meters”.

It is calculated using The Formula:

H=(v₀)² *sin²θ

         2×g

Where,

H =Maximumheight

v₀ = initial velocity

sinθ =Sine of launch angle

From the question:

v₀= 329.7m/s

g = (9.81ms/²)

Sin θ= 22°

calculating Maximum height:

H=( 329.7)² *sin²22°

         2×9.81

H  = 0.55m

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how was the spectral sequence discovered, and why does it have the order obafgkm? which stars are hottest and coolest in this sequence?

Answers

The labour of several people led to the discovery of the spectral sequence. It has an order OBAFGKM because there are still seven basic star types left. Astronomers and science fiction fans have known these star types for years by the mnemonic "Oh, Be A Fine Girl (or Guy), Kiss Me."O is the hottest, while M is the coolest in the sequence.

What is spectral sequence and how it is classified?

Similar star spectra have been categorised into spectral classes by astronomers. Based on the appearance of absorption lines in the star's spectrum, a spectral class designates the star's place in a system of temperature classification. The term "spectral sequence" refers to the arranging of spectral classes according to temperature.The stars classified in the previous order as "O" turned out to be the hottest, followed by "B" stars for second place and "M" stars for third place.

Hence, labour of several people led to the discovery and O is the hottest, while M is the coolest is the correct option.

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a wire having mass per unit length of 0.505 g/cm carries a 2.94 a current horizontally to the south. what are the direction and magnitude of the minimum magnetic field needed to lift this wire vertically upward?

Answers

The direction of the magnetic field is east and its magnitude is 0.171T.

Here we have to find the direction and magnitude of the minimum magnetic field needed.

The given values:

mass/ length (m/l) = 0.505 g/cm

Current(I) = 2.94A

Let the magnetic field be B

Formula:

Form F = I( l× B)

As it is in the south direction. So gravity is in a downward direction.

F = I( lB)

F/l = IB

F/l = mg/l

=( 0.505× [tex]10^{-3}[/tex]/ [tex]10^{-2}[/tex]) 10

 =0.505

Now put in the equation we have:

0.505 = 2.94 × B

B = 0.171T in the east direction.

Therefore the direction is in the east and the magnitude of the magnetic field is 0.171T.

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a baseball is thrown upward from a height of meters with an initial velocity of meters per second. determine its maximum height.

Answers

the correct answer is maximum height = 25.86 meters.

h(t) = -4.9t^2 + 8t + 3

take the derivative and set equal to zero

h'(t) = -9.8t + 8 = 0

max height is when  t = 8/9.8 = 4/4.9 = about .816 seconds t

plug that value into the 1st equation above to calculate maximum height'

h(4/4.9) = -4.9(4/4.9^2) + 8(4/4.9) + 3 = -3.2653 +26.1224 +3 = 25.86 meters = max height

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What is the number of paths through which electricity can flow in a series circuit?.

Answers

The correct answer is in a series circuit there will be only one path through which electricity flow.

What is series circuit or connection?

A series circuit has a channel via each component where the entire current flows.

As a result, a parallel circuit has more than one path for the current to travel while a series circuit only has one.

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