5
A car starting from rest travels 36m in 6s. Find the car's acceleration and its
velocity at this time.

The resistance of a conductor rise with temperature because high temperature cause vibration which make difficult the flow of electron.

When electrons move through a conductor, it collide with atoms, electrons or other substances. These collisions cause resistance which leads to generate heat. Heating the metal conductor leads to more vibration of an atoms which in turn makes it more difficult for the electrons to flow through a conductor that leads to increasing resistance.

So we can conclude that the resistance of a conductor rise with temperature because high temperature cause vibration which make difficult the flow of electron.

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At high density of the molecules tends to be greater pressure that of molecules and at low density of the molecules tends to be less pressure that of molecules.

It is given that the molecules are in the ideal gas.

It is required to find the greatest effect of the finite size of molecules on the ideal gas law.

According to ideal gas law, at high density of the molecules tends to be greater pressure that of molecules and at low density of the molecules tends to be less pressure that of molecules.

From ideal gas equation,

PV = nRT

Where,

P - Pressure of the molecules

V - Volume of the molecules

n - Total amount of substance

R - Gas constant

T - Temperature of the molecules

As shown from above equation, both the quantities are directly proportional to each other and also ideal gas law follows the kinetic molecular theory  where it suggests that the volume of the molecules have negligible point.

Thus, at high density of the molecules tends to be greater pressure that of molecules and at low density of the molecules tends to be less pressure that of molecules.

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By using the equations for parabolic motion, we proceed to present the answers for the paragraph seen in the picture: a) t ≈ 0.553 s, b) s = 2.212 m, c) s = 11.060 m.

A system is on parabolic motion if such system can be represented as a particle, that is, a system whose geometry is negligible, and its motion is a combination of horizontal movement at constant velocity and vertical uniformly accelerated movement due to gravity and all viscous and rotational effects are negligible.

The time required for the droplet to reach the ground is:

1.5 m = (1 / 2) · (9.807 m / s²) · t²

t = √[2 · (1.5 m) / (9.807 m / s²)]

t ≈ 0.553 s

And the horizontal distance traveled by the droplet is:

s = (4 m / s) · (0.553 s)

s = 2.212 m

Now, we apply the same procedure for the case of sneezing person:

1.5 m = (1 / 2) · (9.807 m / s²) · t²

t = √[2 · (1.5 m) / (9.807 m / s²)]

t ≈ 0.553 s

s = (20 m / s) · (0.553 s)

s = 11.060 m

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Answer: Wavelength is related to light and also related to energy. The shorter the wavelengths and the higher the frequency corresponds with greater energy. So the longer the wavelengths and lower the frequency results in lower energy. The energy equation is E = hν.

The area along the retina that is highest in acuity and the most dense in cones is the "fovea".

Macula lutea, a tiny, flat patch situated precisely in the middle of the posterior region of the retina, contains the fovea centralis. The fovea is heavily saturated in cone photoreceptors since it is accountable for high-acuity vision.

Some characteristics of fovea are-

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In the absence of air resistance or any other force on it, an object's acceleration is the acceleration of gravity ... 9.8 m/s² downward.

It doesn't matter if the object rolled off a table, or fell out of an eagle's mouth, or got shot straight up out of a cannon, or LeBron threw it at the basket for a 3-pointer, or Justin Tucker kicked it for a field goal, or Tiger Woods chipped it for a bogey, or Billy Joe MacAllister heaved it straight down off the Tallahatchie Bridge with all his strength.

It doesn't matter how it got STARTED moving, or how fast it's going right now, or what direction it's going now.

If there's no air resistance, and no OTHER force on the object that can speed it up or slow it down, then it's in "free fall", and it's accelerating at 9.8 m/s² downward.

The size and direction of its MOTION doesn't matter. But the size and direction of its acceleration is 9.8 m/s² straight down.  

The nebular hypothesis explains how our solar system probably formed from a giant cloud of gases and dispersed solid particles.

What hypothesis explains how our solar system probably formed?

What is the nebular theory ?

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0 m/s^2.

An object travels 12 m in the 1st second of travel, 12 m again during the 2nd second of travel, and 12 m again during the 3rd second. Its acceleration is therefore 0 m/s2.

Given

In First second object travels 12 m

in second second it travels 12 m

In 3rd second it travels 12 m

After observation, the object travels the same distance in the same amount of time, indicating constant velocity motion in a straight line with no acceleration.

Therefore acceleration = 0 m/s^2

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Two forces produce the same torque but this will not ensure that they have the same magnitude of torque because torque is the product of force times distance.

Torque is a measure of the force that can cause an object to rotate about an axis. Just as force is what causes an object to accelerate in linear kinematics, torque is what causes an object to acquire angular acceleration. Torque is a vector quantity.

The physical quantities for which both magnitude and direction are defined distinctly are known as vector quantities. For example, a boy is riding a bike with a velocity of 30 km/hr in a north-east direction.

The quantity torque (or moment of force) may be thought of as the cross product of force and distance and the SI unit for torque is Newton metre, N m (m2 kg s-2).

No, Because torque is the product of force times distance, two different forces that act at different distances could still give the same torque.

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We can conclude that The star is moving toward us; shift to a shorter wavelength.

The transfer of an electron to a higher energy level, such as n = 1 or n = 2, occurs when a hydrogen atom absorbs a photon. The Balmer series refers to this group of hydrogen emission spectra.

The phrase "blueshift" describes how light waves change as an object approaches toward us in space, shifting wavelengths toward the blue end of the spectrum. Change to a shorter wavelength when the star approaches us. A shorter wavelength indicates a blueshift (shift to the blue end of the spectrum), which indicates that the object is travelling in our direction.

Therefore, We can conclude that The star is moving toward us; shift to a shorter wavelength.

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The light bulb would glow brighter.

a force that works against a body's direction of motion and seeks to stop or slow down motion, such as friction. a measure of how much a material prevents an electric current from flowing as a result of a voltage.

What is the law of resistance?

Resistance and Ohm's Law. According to Ohm's law, the resistance of the circuit and the current or energy travelling through the resistance are both exactly proportional to the voltage or potential difference between two places.

The current would grow since it is exactly proportionate to the voltage, increasing the light bulb's brilliance, or simply making it brighter.

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The annual variation in the amount of solar radiation received varies with latitude because the  direction of Earth's tilt changes with respect to the Sun during the year.

How does solar radiation vary with latitude ?

Despite the fact that high latitude regions receive more solar radiation than low latitude regions do, heat is nevertheless transported throughout the planet by the ocean and the atmosphere.

How does the amount of solar radiation received vary on Earth?

What is the relationship between the annual solar radiation cycle and the annual temperature cycle?

The coldest day of the year occurs after the winter solstice, and the warmest day of the year occurs (on average, so many days) after the summer solstice, because the annual temperature cycle lags the annual radiation cycle.

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The optimum wavelength is 450 nm because that is the wavelength of maximum absorbance by FeSCN2+(aq)

you should choose a wavelength with maximum absorbance. In this case, you are using the scattered light, not the absorbed light as your signal. So you should avoid wavelengths where there are absorption peaks.

A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles. This length is typically defined in wireless systems in metres (m), centimetres (cm), or millimetres (mm) (mm).

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If the observer and source are moving toward each other, then the frequency increases and the wavelength decreases.

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Decreases, increases

As the volume of the container decreases, the pressure of the air within it increases.

When the temperature is held constant, pressure decreases as volume increases and vice versa.

The amount of force delivered perpendicularly to an object's surface in relation to its area is known as pressure. Its abbreviation is "p" or "P."

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The wire's magnetic field lines are circles that are perpendicular to the wire and have their centers on the wire.

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Its average speed will be 25 m/s approximately. The correct answer is option C

Average speed is the ratio of total distance travelled to the total time taken. It is a scalar quantity and the S.I unit is m/s

Given that a car travels one third of a path with speed of 50 m/s and two third of path with 20m/s.

If the car travels one third of a path with speed of 50 m/s, then the time taken will be

Speed = distance / time

Time = distance / speed

Time = 1/3 ÷ 50

Time = 6.67 x [tex]10^{-3}[/tex] s

If the car travels the remaining two third of a path with speed of 20 m/s, then, the time taken will be

Time = distance / speed

Time = 2/3 ÷ 20

Time = 0.0333

Total time = 0.03333 + 0.00667

Total time = 0.04

The total distance travelled = 1

Average speed = Total distance travelled ÷ Total time

Average speed = 1/0.04

Average speed = 24.99979 m/s

Therefore, its average speed will be 25 m/s approximately.

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The ball has travelled a total distance of 18 feet after dropping and rebounding.

After being dropped for the first time, the ball will rebound to a height of 3 feet as it returns to half its original height. The geometric series formed by the total distance travelled while falling and rebounding has a common ratio,

r = 0.5

6 ft + 3 ft = 9 ft will be the first term in the series

For the sum formula S = [tex]\frac{a}{1-r}[/tex],  

substitute a = 9 and r = 0.5 to get the ball's total distance travelled.

S = [tex]\frac{9}{1-0.5}[/tex]

S = [tex]} \frac{9}{0.5}[/tex]

S = 18

The ball has therefore travelled a total of 18 feet.

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If I moved filter 3 to be centred on a wavelength of 1000 nm, The red ball (d) will appear black if you looked through filter 3 with your eyes.

An optical filter is a device that selectively transmits light of different wavelengths, usually implemented as a glass plane or plastic device in the optical path, which are either dyed in the bulk or have interference coatings. The optical properties of filters are completely described by their frequency response, which specifies how the magnitude and phase of each frequency component of an incoming signal is modified by the filter.

Filters mostly belong to one of two categories :

The simplest, physically, is the absorptive filter; then there are interference or dichroic filters. Many optical filters are used for optical imaging and are manufactured to be transparent; some used for light sources can be translucent.

Optical filters selectively transmit light in a particular range of wavelengths, that is, colours, while absorbing the remainder. They can usually pass long wavelengths only (long pass), short wavelengths only (short pass), or a band of wavelengths, blocking both longer and shorter wavelengths (band pass). The pass band may be narrower or wider; the transition or cut-off between maximal and minimal transmission can be sharp or gradual. There are filters with more complex transmission characteristic, for example with two peaks rather than a single band;[2] these are more usually older designs traditionally used for photography; filters with more regular characteristics are used for scientific and technical work.

Optical filters are commonly used in photography (where some special effect filters are occasionally used as well as absorptive filters), in many optical instruments, and to colour stage lighting. In astronomy optical filters are used to restrict light passed to the spectral band of interest, e.g., to study infrared radiation without visible light which would affect film or sensors and overwhelm the desired infrared. Optical filters are also essential in fluorescence applications such as fluorescence microscopy and fluorescence spectroscopy.

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A string with mass density equal to 0. 0025 kg/m is fixed at both ends and at a tension of 290 n. Resonant frequencies are found at 558 Hz and the next one at 744 Hz. The length of the wire will be L = 0.91 m

A resonant frequency of a string is its natural frequency of a standing wave that is produced in it. The standing waves in the string are called harmonics. A string of a fixed length can have many standing waves. The frequencies of these standing waves are called resonant frequencies.

frequency = 1 / 2L ([tex]\sqrt{\frac{T}{mu} }[/tex])

L = length of the spring

T = Tension

fundamental frequency = 744 - 558 = 186  Hz

186 = 1/2(L) ([tex]\sqrt{\frac{290}{0. 0025 } }[/tex])

L = 340 / (186 * 2)

L = 0.91 m

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Answer:

It took [tex]\bf 4.07 \space\ \mathrm{s}[/tex] to travel.

Explanation:

To calculate the time taken to travel a distance of 122 m at a speed of 30 m/s, we can use the formula for speed:

[tex]\boxed{speed = \frac{distance}{time}}[/tex].

We can substitute the known values, and then solve for time:

[tex]30 = \frac{122}{\mathrm {time}}[/tex]

⇒ [tex]\mathrm{time } = \frac{122}{30}[/tex]

⇒ [tex]\mathrm{time } \approx \bf 4.07 \space\ \mathrm{s}[/tex]

The conversion of CO2 into the three-carbon sugar G3p is the Calvin cycle's net reaction.

Calvin cycle uses ATP and NADPH, which are created during the light reaction, to decrease atmospheric carbon dioxide in 3C sugar; Three steps can be distinguished in the Calvin Cycle reaction:

Carboxylation: A reaction that is catalyzed by RUBISCO, where RUBIP is the CO2 acceptor, results in the formation of 6 molecules of PGA (phosphoglycerate).

Here, there are 6 molecules with 18 carbons in PGA and 3 molecules with 3 carbons in CO2.

Reduction: One molecule of the output, glyceraldehyde 3 phosphate, is used to create sugar while the remaining five molecules go through regeneration.

Here, one glyceraldehyde-3-phosphate molecule with three carbon atoms is present.

Regeneration: From glyceraldehyde 3 phosphate, CO2 acceptor (RUBIP) is generated.

Here, 3 molecules of RUBIP and 5 molecules of dihydroxy acetone phosphate each have 15 carbons.

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for example

1. drinking water at least after 1 hour beacuse if we immediately drink water just after meal it dilutes the HCL produced in our stomach which hinders the digestion process

2.picking up tomatoes for salads which contains oxalic acid

3.Cutting apples which contains malic acid with knife then after sometimes it will trun into brown due to oxidation of iron present in a apple.

A few examples of real science that demonstrate how scientific research and exploration contribute to our understanding of the world around us are the Human genome project, Mars exploration, and Climate Change Studies.

Human Genome Project:

The Human Genome Project (HGP) is a real scientific endeavor that aimed to map and sequence all the genes in the human genome. It involved an international collaboration of scientists and researchers to understand the genetic makeup of humans.

Mars Exploration:

Various space agencies, such as NASA and ESA, have conducted real scientific missions to explore Mars. Rovers like Curiosity and Perseverance have been sent to the Martian surface to study its geology, and atmosphere, and search for signs of past life.

Climate Change Studies:

Climate change research is an ongoing scientific field that investigates the causes and effects of global climate change. Scientists collect and analyze data from various sources, including satellite observations, weather stations, and ice core samples, to study trends and changes in Earth's climate over time.

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Modem enables digital computers to communicate across different media, including telephone wires, cable lines, and radio waves.

A modulator-demodulator or modem is a computer hardware device that converts data from a digital format into a format suitable for an analog transmission medium such as telephone or radio. Modems converts or modulates the analog signals coming from telephone wire into digital form for example in form of 0 s and 1 s.

To transmit digital data, the sending modem must first modulate, or encode, a computer's digital signal into an analog signal that can travel over the phone line. The receiving modem must then demodulate, or decode, the analog signal back into a digital signal recognizable to a computer.

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To place the poles of a 1. 5 v battery to achieve the same electric field is 1.5×10−2 m

The potential difference is related to the electric field by:

∆V=Ed

where,

∆V is the potential difference

E is the electric field

d is the distance

what is potential difference?

The difference in potential between two points that represents the work involved or the energy released in the transfer of a unit quantity of electricity from one point to the other.

We want to know the distance the detectors have to be placed in order to achieve an electric field of

E=1v/cm=100v/cm

when connected to a battery with potential difference

∆v=1.5v

Solving the equation,we find

[tex]d = \frac{ \:Δv}{e} [/tex]

[tex] = \frac{1.5v}{100v/m} [/tex]

[tex] = 1.5 \times 10 {}^{ - 2} m[/tex]

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The required probabilities are calculated by using the binomial distribution formula as below:

a. The probability that 5 will still be with the company after 1 year is P(x = 5) = 0.2541

b. The probability that 5 or more still be with the company after 1 year is 0.8057.

The binomial distribution formula for finding the required probability of a random variable is

[tex]P(X = r) = _nC_rp^rq^{n-r}[/tex]

Where

[tex]_nC_r = \frac{n!}{r!(n-r)!}[/tex]

p = probability of success

q = 1 - p = probability of failure

n = total number of trials

r = number of trials chosen

It is given that,

n = 8 and p = 0.7

Then, q = 1 - 0.7 = 0.3

a. The probability that 5 will still be with the company after 1 year:

P(X = 5) = [tex]_8C_5[/tex] (0.7)⁵(0.3)⁸⁻⁵

⇒ [tex]\frac{8!}{5!(8-5)!}[/tex] (0.7)⁵(0.3)³

⇒ 0.2541

Therefore, the probability P(x = 5) is 0.254.

b. The probability that 5 or more still be with the company after 1 year:

More than 5 means 6, 7, and 8

So,

P(X = 6) = [tex]_8C_6[/tex] (0.7)⁶(0.3)⁸⁻⁶

⇒ [tex]\frac{8!}{6!(8-6)!}[/tex] (0.7)⁶(0.3)²

⇒ 0.2964

P(X = 7) = [tex]_8C_7[/tex] (0.7)⁷(0.3)⁸⁻⁷

⇒ [tex]\frac{8!}{7!(8-7)!}[/tex] (0.7)⁷(0.3)¹

⇒ 0.1976

P(X = 8) = [tex]_8C_8[/tex] (0.7)⁸(0.3)⁸⁻⁸

⇒ [tex]\frac{8!}{8!(8-8)!}[/tex] (0.7)⁸(0.3)⁰

⇒ 0.0576

Thus, the probability that 5 or more still be with the company after 1 year

= P(5) + P(6) + P(7) + P(8)

= 0.2541 + 0.2964 + 0.1976 + 0.0576

= 0.8057.

Therefore, the required probabilities are 0.2541 and 0.8057.

Disclaimer: The question given in the portal is incomplete. Here is the complete question.

Question: If the probability of a new employee in a fast-food chain still being with the company at the end of the year is 0. 7, what is the probability that out of 8 new hired people:

a. 5 will still be with the company after 1 year?

b. 5 or more still be with the company after 1 year?

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With angular momentum quantum number l = 2. in units of ħ, the value of l will be 2.4494 h.

The total angular momentum quantum number in quantum mechanics parametrizes the total angular momentum of a particular particle by combining its orbital angular momentum and intrinsic angular momentum.

Given the angular momentum quantum number l = 2. in units of ħ. Therefore, the value of L can be written as,

L = √[l (l + 1)]

L = √[2 (2 + 1)]

L = √[2 (3)]

L = √6

L = 2.4494 h

Hence, With angular momentum quantum number l = 2. in units of ħ, the value of l will be 2.4494 h.

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Given:

initial velocity,u=16m/s

final velocity,v=0m/s

acceleration due to gravity,a=9.8 m/s²

height,h=7m

To find:

time taken,t

we can find the time taken by using second equation of motion as well as first equation of motion,so we use first equation of motion.

v=u+at

substitute the values,we get

0=16+(-9.8)×t

-16=-9.8×t

t=-16/-9.8

t=16/9.8

t=1.63s

Therefore,the time to reach the height of 7m is 1.63s

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(a) The gravitational force received by each 1 kg mass is 8.66 N.

(b) The magnitude of gravitational acceleration is 8.66 m/s².

(c) The orbital speed of the ISS is  7,663.6 m/s.

(d) The time take  for the ISS to orbit round the Earth is 5,558.75 seconds which is equal to 1.54 hours.

The gravitational force received by each 1 kg mass is calculated as follows;

F = Gm₁m₂/r²

where;

F = (6.67 x 10⁻¹¹ x 5.97 x 10²⁴ x 1) / (6780,000)²

F = 8.66 N

mg = GMm/r²

g = GM/r²

where;

g = (6.67 x 10⁻¹¹ x 5.97 x 10²⁴ ) / (6780,000)²

g = 8.66 m/s²

v = √GM/r

v = √(6.67 x 10⁻¹¹ x 5.97 x 10²⁴  / 6780,000)

v = 7,663.6 m/s

T = 2πr/v

T = (2π x 6780,000) / (7663.6)

T = 5,558.75 seconds

1 hour = 3600 seconds

=  5,558.75/3600

= 1.54 hours

Thus, the gravitational force received by each 1 kg mass is 8.66 N.

The magnitude of gravitational acceleration is 8.66 m/s².

The orbital speed of the ISS is  7,663.6 m/s.

The time take  for the ISS to orbit round the Earth is 5,558.75 s = 1.54 hours.

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