'A drag racer starts from rest and accelerates uniformly to a speed of 76.5 m/s in 8.5 seconds. what is the distance traveled by the car in the 8.5 s?

The time taken by the toy rocket that was fired horizontally to land on the ground is 2.47 seconds

s = ut + 1 / 2 at²

s = Distance

u = Initial velocity

t = Time

a = Acceleration

[tex]u_{x}[/tex] = 12 m / s

[tex]u_{oi}[/tex] = 0

[tex]s_{y}[/tex] = 30 m

[tex]a_{x}[/tex] = - 1.6 m / s²

[tex]a_{y}[/tex] = g = 9.8 m / s²

[tex]s_{y}[/tex] = [tex]u_{oi}[/tex] t + 1 / 2 gt²

30 = 0 + ( 0.5 * 9.8 * t² )

t = √ ( 30 / 4.9 )

t = 2.47 s

The initial velocity of a horizontal projectile motion is in x-direction is constant throughout the motion whereas in y-direction the initial velocity is zero and the final velocity varies.

Therefore, the time taken by the toy rocket that was fired horizontally to land on the ground is 2.47 seconds

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The temperature of water affects the solubility of material the ability of a material, the solute, to combine with another substance, the solvent, is known as solubility in chemistry.

The contrary is appropriate for insoluble except in extremely rare circumstances, a solid or liquid cannot be "dissolved" in gas without first becoming gaseous composition of the solute and solvent, including their pH and the presence of other dissolved substances, as well as temperature and pressure, are the key determinants of solubility. The dependence is frequently explicable in terms of interactions between the atoms, molecules, or ions of the two substances as well as in terms of thermodynamic notions like enthalpy and entropy.  

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If an extension cord 20 m long uses no. 12 gauge copper wire cross-section of area 0.033 cm² resistivity 1.7×10⁻⁸ ohms - m, the resistance of the extension chord would be 0.1030 Ohm.

Resistance is the obstruction of electrons in an electrically conducting material.

The mathematical relation for variation in resistance with length is given by

R = ρ*L/A

As given in the problem an extension cord 20 m long uses no. 12 gauge copper wire cross-section of  area 0.033 cm² resistivity 1.7×10⁻⁸ ohms - m, then we have to find the resistance of the wire,

Resistance of the wire =  1.7×10⁻⁸ ×20/0.033 ×10⁻⁴

                                     =0.1030 Ohm

Thus, the resistance of the extension chord would be 0.1030 Ohm.

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The question is incomplete the complete question is,

An extension cord 20 m long uses no. 12 gauge copper wire cross-section of area 0.033 cm² resistivity 1.7×10⁻⁸ ohms - m, then find the resistance of the wire?

Answer:

vf=43.55m/s

Explanation:

Data:

vi=29m/s

S=22m

a=2.4 m/s^2

vf=? we are supposed to find final velocity.

we will use following equation of motion:

Formula:

[tex]2as=vf^{2} -vi^{2}[/tex]

put values

[tex]2(2.4)(22)=vf^2-(29)^2\\[/tex]

solving for [tex]vf^2[/tex].

taking [tex](29)^2[/tex] on the other side .

[tex]vf^2=2(2.4)(22)+(29)^2[/tex]

solve square first.

[tex]vf^2=2(24)(22)+841[/tex]

multiply the terms.

[tex]vf^2=1056+841[/tex]

add the terms

[tex]vf^2=1897[/tex]

taking square root on both sides.

[tex]\sqrt{vf^2}=\sqrt{1897}[/tex]

square root of [tex]vf^2[/tex] will be cancelled out .

[tex]vf=43.55m/s[/tex]

From the definition of capacitance, the potential difference between them will be 6.24v

The capacitance of a capacitor is the ratio of charge to the voltage supplied. It is measure in Farad.

If you make a capacitor by cutting the 14.5-cm-diameter bottoms out of two aluminum pie plates, separating them by 3.35 mm , and connecting them across a 6.00 V battery, the cross sectional A = πr²

where r = 14.5/2 = 7.25 cm

r = 7.25/100 = 0.0725 m

The distance d = 3.35 mm = 3.35/1000 = 0.00335 m

A = πr²

A = 22/7 × 0.0725²

A = 0.0165 m²

Capacitance is proportional to the area of the plate and inversely proportional distance between them. That is,

C = ξA/d

where ξ = 8.5 × 10^-12 C²/Nm²

C = (8.5 × 10^-12 × 0.0165) / 0.00335

C = 4.19 × 10^-11 F

From Charge Q = CV

Q = 4.19 × 10^-11 × 6

Q = 2.5 × 10^-10 C

If you disconnect the battery and separate the plates to a distance of 3.50 cm without discharging them, the capacitance will be

C = ξA/d

C = (8.5 × 10^-12 × 0.0165) / 0.0035

C = 4.007 × 10^-11

From Q = CV

V = Q/C

V = 2.5 × 10^-10 / 4.007 × 10^-11

V = 6.24 v

Therefore, the potential difference between them will be 6.24v

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The formula m-1206 represents the discrepancy between the student's estimation and the actual number of marbles.

The student guesses that there are m marbles given that there are 1206 marbles in the jar.

The term that best captures the discrepancy between the student's guess and the actual number of marbles must be found.

Expressions are made up of a combination of numerical values, symbols, fractions, coefficients, and other elements that lack the equals sign.

There are 1206 marbles in total.

Guessed number of marbles by the student-m

The phrase that illustrates the distinction between a student's educated guess and

The expression that shows the difference between the student's guess and the actual number of marbles is m-1206.

Hence the expression which reflects the difference between the student's guess and the actual number of marbles is m-1206.

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1. The truck overtakes the car at time t = 2vC/(aT  - aC)

2. The coordinate where the truck passes the car is  x = 2aT[vC/(aT  - aC)]²

The question has to do with equation of motion

The equations of motion are equations that are used to describe the motion of an object under constant acceleration.

1.) At what time does the truck pass the car?

Since at t = 0 a truck starts from rest at x = 0 and speeds up in the positive x -direction on a straight road with acceleration aT.

We find the distance moved by the truck using the equation of motion d = ut + 1/2at² where

So, d = ut + 1/2at²

d = 0 × t + 1/2aTt²

d = 1/2aTt²

Also, at the same time, t = 0, a car is at x = 0 and traveling in the positive x -direction with speed vC . The car has a constant negative x -acceleration: acar−x=−aC , where aC is a positive quantity.

We find the distance moved by the car using the equation of motion D = ut + 1/2at² where

So, D = ut + 1/2at²

D = vCt + 1/2(-aC)t²

D =  vCt - 1/2aCt²  

The truck over takes the car when d = D

So, 1/2aTt² = vCt - 1/2aCt²  

1/2aTt²  - 1/2aCt² - vCt = 0

[(aT  - aC)t/2 - vC)]t = 0

⇒ t = 0 or (aT  - aC)t/2 - vC = 0

⇒ t = 0 or (aT  - aC)t/2 = vC

⇒ t = 0 or t = 2vC/(aT  - aC)

So, the truck overtakes the car at time t = 2vC/(aT  - aC)

Since the distance moved by the truck is d = x - 0

= 1/2aTt², where x = coordinate where truck passes car.

To find the coordinate where the truck passes the car, we susbstitute the time where the truck passes the car into d. So, t =  2vC/(aT  - aC)

So,  x - 0 = 1/2aTt²

x = 1/2aT[2vC/(aT  - aC)]²

x = 2aT[vC/(aT  - aC)]²

So, the coordinate where the truck passes the car is  x = 2aT[vC/(aT  - aC)]²

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Diffraction is the spreading out of waves past small openings and the bending of waves around small obstructions.

Diffraction is the process by which light spreads out after passing through a small space or bends around an obstruction. Diffraction can occur in waves of any kind, including sound, radio, and water.

When an object has dimensions that are close to or smaller than the sound wave's wavelength, it causes a sound wave to move around it.

Waves spread out as they move through an aperture or around objects, which is known as diffraction. It happens when the aperture's or obstacle's size is of the same order of magnitude as the wave's wavelength. Nearly all of the wave is blocked at very small aperture sizes.

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The total time from the start of the first acceleration until the car is stopped is 16.31 s

This is defined as the rate of change of velocity which time. It is expressed as

a = (v – u) / t

Where

a = (v – u) / t

1.9 = (v – 13.5) / 6.2

Cross multiply

v – 13.5 = 1.9 × 6.2

v – 13.5 = 11.78

Collect like terms

v = 11.78 + 13.5

v = 25.28 m/s

a = (v – u) / t

Thus,

t = (v – u) / a

t = (0 – 25.28) / –2.5

t = 10.112 s

Total time = 6.2 + 10.112

Total time = 16.31 s

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In physics, a system is a group of related objects that interact with each other and form a complex whole.

In sciences (i.e., physics, chemistry and biology) a system can be defined as an interrelated group of different elements or parts that work together to perform a given function.

In conclusion, in physics and science disciplines in general, a group of related objects that interact in order to form a complex whole is commonly referred as a system.

Complete question:

Fill in the blank. In physics, a ____ is a group of related objects that interact with each other and form a complex whole.

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The acceleration of the cheetah is 4.29 m/s².

Acceleration can be defined as the rate of change of velocity.

To calculate the acceleration of theb cheetah, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the acceleration of the cheetah is 4.29 m/s².

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the magnitude and direction of this vector is cos −1√ (−5/ 89)

Magnitude is simply "distance or quantity" in the context of physics. In terms of motion, it shows the absolute or relative size, direction, or movement of an object. It is used to describe something's size or scope. Magnitude in physics typically refers to a size or quantity.

A constant quantity's magnitude is a numerical value for the quantity expressed in terms of a unit of measurement. For instance, the real number 2000 is the magnitude of the quantity 2 kilometers in the unit-of-measure meter.

Magnitude = (25) 2 + (40) 2 =5√89

Angle with the x-axis equals tan√ 1(y/x).

=tan −1 √ (40/−25)

=tan −1√ (−8/5)

=cos −1√ (−5/ 5 √2+6/2)

=cos −1√ (−5/ 89)

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Answer:

Electrostatic shielding

Explanation:

Positive and negative charges that are out of balance cause static electricity. One substance becomes positively charged and one becomes negatively charged when two dissimilar materials are rubbed together. Materials have been rated according on how well they can hold or release electrons. The triboelectric series is the name given to this order. These materials include paper, plastic, glass, hair, nylon, wool, and silk.

Electrons are merely transferred from one location to another when we charge anything with static electricity. There are no new or lost protons or electrons. The overall or net electric charge does not change. The "conservation of charge" principle refers to this.

An electric field is produced around charged items. The amount of charge, the distance involved, and the form of the items are just a few of the variables that affect how strong this field is. When dealing with huge items, this may get rather problematic. We may thus deal with "point sources" of charge to make things simpler. Point sources, also known as sources of insignificant dimensions, are charged objects that are much, much smaller than the space between them. The word "static" comes from the fact that an electric charge exists even when the electrons are not moving.

In the 1780s, French scientist Charles Coulomb (1736–1806) gave the first detailed account of electric field intensities. He discovered that the electrical force for point charges directly changes with the product of the charges. In other words, the field is stronger the higher the charges. Additionally, the field changes inversely with the square of the charge separation. This implies that the force weakens with increasing distance.

Because a significant charge may harm fragile electronic components like MOSFETs, CMOS ICs, Computer cards, TTL chips, and even LEDs, static electricity presents challenges for experimenters and electronics makers.

In a laboratory, there are a few fairly easy techniques to prevent static charges. The lab's air is made more humid, which reduces static electricity. Dry environments are better for electron accumulation. A thin coating of water molecules covers the majority of surfaces during humid days, allowing electrons to flow more easily and making nearly everything conductive and static-free. As a result, shocks are less frequent on these days.

Some factory employees must adhere to stringent dress codes, avoiding sweaters and headgear that can promote static. Technicians may wear wrist bands that deliver additional electrons into the earth by connecting them to the floor with a metal wire.

In factories, "air ionizers" are also used to regulate electron behavior. The devices release ions, or molecules with an excess of electrons, into a space. Ions are molecules with one or more missing electrons. The electrons find their opposites as they align with them as they drift around the room looking for equilibrium. Ionizers stop the accumulation of static electricity.

Sometimes we need a completely electrostatic-free environment for a piece of equipment to function extremely effectively, and the only definite way to achieve this is by creating a kind of enclosure that the equipment is designed to operate in. It could take up a whole room or perhaps just a metal box in a lab. A FARADAY'S CAGE is what it is called. It was created by British scientist Michael Faraday (1791–1867) and protects the contents from static electric forces.

The term comes from the fact that these enclosures resemble cages in many ways. Some are as straightforward as metal or chain-link enclosures. Some people employ a thin metallic mesh. No matter how they look exactly, all Faraday cages spread electrostatic charges or even specific forms of electromagnetic radiation around the cage's surface, keeping the interior free of them. (The metal mesh must contain holes that are shorter than the wavelength that is to be filtered in order to screen against electromagnetic radiation.) In essence, a Faraday cage is merely a "hollow conductor," with the charge only remaining on the cage's outside.

An airplane is the greatest illustration of a Faraday's Cage. Lightning frequently strikes airplanes when they are in the air. Despite the fact that it occurs frequently, neither the passengers nor the plane are harmed. This is so because the plane's metal body acts as a Faraday cage. Lightning strikes harmlessly over the surface of the airplane, causing no harm to the avionics, communications, or passenger electronics.

Thanks,

Eddie

The internal resistance of the washing machine is 137.14 Ω.

Internal resistance is the inherent resistance of a conductor.

To calculate the internal resistance of the washing machine, we use the formula below.

Formula:

Where:

Make R the subject of the equation

From the question,

Given:

Substitute the these values into equation 2

Hence, the internal resistance of the washing machine is 137.14 Ω.

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Answer:

700km

Explanation:

going was 250km and leaving was 450

250+450=700

The people who own all the three animals are 33 , (b) People who don't own a dog are 244 and (c) People who neither own a cat nor a bird but own a dog are 34 in number.

A Venn diagram is a representation of data in terms of figure. Where each circle represents a set of data, intersection of two or more circles shows that there is a common entity in both the sets.

A universal set contains all the possible elements. In Venn diagram a universal set is represented by a rectangle.

Given:

Total number of the people surveyed = 625

People who one a cat = 115

People who own a bird = 103

People who own a dog = 34

1) To find the number of people who own all the three animals we will have to find the intersection of C, B and D.

Where,

C represents set of cat

B represents set of bird

D represents set of dog

// Represents intersection

:: Represents union

From the given data

C//B//D = 33

i.e. people who own all the three animals = 33

2) People who don't own a dog.

Now carefully look at the given diagram you will notice:

34 own D only

138 own D and C

92 own D and B

33 own all the three

Now to find who doesn't own a dog we will find who owns a dog and then minus that from total people who owns animals.

Total people who own an animal= (115+103+34+138+61+92-2×33)

Total people who own an animal = 475

Now people who own a dog = 34+138+92-33

People who own a dog = 231

People who don't own a dog = 475-231

People who don't own a dog = 244

3) People who neither own a cat nor a bird but own a dog = 34

Therefore, the people who own all the three animals are 33 , People who don't own a dog are 244 and People who neither own a cat nor a bird but own a dog are 34 in number.

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Answer:

37.85 Liters in 10 US gallons

Explanation:

if asking for volume: volume = 3.785liters

The amount of energy used by the TV is 129.6 kJ.

Electric energy is the product of charge and potential difference.

To calculate the amount of electric energy used, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the amount of energy used by the TV is 129.6 kJ.

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Hi !

Answer:

Which term is defined as a guess informed by observations?

O hypothesis

For determining g (gravity), seminal free-fall experiment using inclined plane is preferable to the simple drop method because in simple drop method there is resistance caused by air on the falling object whereas on the seminal free-fall method using inclined plane air resistance has little to no effect.

Galileo was an Italian scientist who combined theory with experiment. He was very much interested in understanding the movement and falling of objects.

Objects when falling down would accelerate quickly i.e., let’s take an object falling at the speed of x, after time t it would travel at 2x, after 2t it would be 4x. Therefore, it is difficult to time with accuracy. Thus, inclined plane would help to dilute the effects of gravitational force and reduce the time.

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Answer:

rsgc

Explanation:

bsf xg

Answer:

I think it's C but I'm not 100% sure

The charge that must be on each plate is 3.53 x 10⁻⁸ C.

The electric field between two parallel plates is given as;

C = εA/d

C = Q/V

V = Ed

C = Q/Ed

Q/Ed = εA/d

Q/E = εA

Q = εEA

where;

Q = (8.85 x 10⁻¹² x 8.85 x 10⁵ x 45 x 10⁻⁴)

Q = 3.53 x 10⁻⁸ C

Thus, the charge that must be on each plate is 3.53 x 10⁻⁸ C.

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There are numerous starting points that a composer could use when writing a piece of music. True.

Composers write, direct, and create tunes for numerous genres. they will produce compositions, scores, and preparations for theatre, movies, television, and even video games. Composers have fantastic musical ears and frequently advocate for musicians.

A music style or subgenre may be described by using the musical techniques, the cultural context, and the content material and spirit of the themes. The geographical foundation is once in a while used to perceive a song style, even though a single geographical category will often encompass a wide style of subgenres.

Dynamics manner how quietly or loudly a bit of track ought to be performed. Dynamics are an essential way of conveying the mood of a bit and your use of dynamics is a marked detail of your performance. Composers use dynamics to trade the temper.

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Answer:22m

Explanation:

The experimental value of the expression due to gravity through the experiment will come out to be 7.8 u, the error in the value has Accord because of air friction.

Newton gave three laws of motion which can be utilised to find the velocity, acceleration and displacement of a body. These laws are only applicable for constant acceleration.

When a body falls freely under only the force of gravitation due to the earth and no other force act on the body is known as free fall.

Given:

Mass of the sphere is 0.875 kg

Height of the free fall is 1.5 metre

Experiments are conducted in the following manner:

Using Newton's first law of motion

i.e. v = u + a × t  

Where,

u is initial velocity

v is final velocity

a is acceleration due to gravity

t is time taken to cover distance

From the data given v = 15.6 m/s

t is 2 seconds

Substituting value in Newton's first law of motion we get

Value of acceleration due to the gravity = 7.8u

Therefore, The experimental value of the expression due to gravity through the experiment will come out to be 7.8 u , the error in the value has Accord because of air friction.

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Negative acceleration of 0.2 m/s^2 is needed to avoid a speeding ticket.

Negative acceleration occurs when a force causes a body's velocity to decrease. Positive acceleration occurs when the speed of something rises.

The acceleration of a slowing object is in the direction opposite from the velocity. As a result, this item is said to have negative acceleration.

Given:

Initial velocity, u = 110km/h

Final velocity, v = 70km/h

Police radar's effective range, S1 = 0.90km

Radar detector's range, S2 = 1.9km

To find:

Negative acceleration, a = ?

Formula:

v^2 = u^2 + 2aS

Calculation:

a = (v^2 – u^2) / 2(S1 - S2)

a = 70^2 – 110^2/ 2 x (0.9 – 1.9)

a = [(4900 – 12100) / (2 x -1)] / 3600^2

a = 0.2 m/s^2

Result:

0.2m/s^2 negative acceleration is required to avoid a speeding ticket.

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(a) The time taken before the student catches the bus is 11.52 seconds.

(b) The distance the student have to run before she overtakes the bus is 63.36 m.

(c) The speed of the bus is 2.0 m/s.

(d) If the student's top speed is 2.7 m/s he will still catch the bus, since the bus's speed is 2.0 m/s.

Apply the principle of relative velocity as follows;

(Vs - Vb)t = D

where;

(Vs - at)t = D

where;

(5.5 - 0.173t)t = 40.4

5.5t - 0.173t² = 40.4

0.173t² - 5.5t + 40.4 = 0

solve the quadratic equation using formula method;

a = 0.173, b = -5.5, c = 40.4

t = 11.52 seconds or 20.27 seconds

so the minimum time taken by the student to over take the bus is 11.52 seconds

d = vt

d = 5.5 m/s x 11.52 s = 63.36 m

v = at²

v = 0.173 x (11.52)

v = 2.0 m/s

If the student's top speed is 2.7 m/s he will still catch the bus, since the bus's speed is 2.0 m/s.

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