Two forces produce the same torque. does it follow that they have the same magnitude?

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.  

Answer:

The final velocity of the body is 6 m/s.

Explanation:

To solve this question, we can use one of the kinematic equations. Let's go over what variables we know and what we are trying to find. We know the acceleration (a = 2m/s²), the displacement (Δx = 9m), and the initial velocity (v1 = 0 m/s). We are trying to find the final velocity, v2.

The equation that uses all of these variables is the following:

v2² = v1² + 2*a*Δx

If we plug in the given values and simplify, we get:

v2² = 2*(2)*(9)

v2² = 36

Finally, we can take the square root of both sides to get:

v2 = 6 m/s

Therefore, the answer is 6 m/s.

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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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The electric flux is changed only if we change the charge.

Thus, we can conclude that the electric flux is changed only if we change the charge.

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The wavelength of a photon that has energy of 1j is 19.878 ×10^-17 nm.

The energy of photon is given by,

E=h × frequency

where h is known as planck's constant whose value is

[tex]6.626 \times {10}^{ - 34} js[/tex]

Frequency : it is the reciprocal of time period . it can be defined as number of Occurance of repeating events per unit time.

f=1/T

si unit is :

[tex] {s}^{ - 1} [/tex]

The formula of frequency is :

f = c/ lambda

where c is the velocity of light whose value is 3×10^8m/s and lambda is the wavelength.

Thus,

[tex]energy = \frac{h.c}{lambda} [/tex]

And,

[tex]wavelength = \frac{h.c}{energy} [/tex]

[tex]lambda = \frac{6.626 \times {10}^{ - 34} js \times 3 \times {10}^{8} \frac{m}{s} }{1j } = 19.878 \times {10}^{ - 26} m[/tex]

Hence the wavelength of photon is 19.878×10^-26 m Or 19.878×10^-17 nm.

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Disclaimer :the data in the question is incomplete that is the options are not correct or incomplete.

Question: what is the wavelength of a photon that has an energy of 1 j.

(a) 19.878×10^-17 nm

(b) 19.878×10^-18nm

(c) 19.878×10^-16nm

(d) 19.878×10^-15nm

(e) 19.878×10^-20nm

Answer:n

Explanation:

There are three basic steps in a nuclear fission chain reaction are Initiation, Propagation, Termination.

1. Initiation

The nuclear fission  of [tex]U_{235} ^{92}[/tex] is started by the absorption of a neutron; a single atom must react in order for the chain reaction to begin.

2. Propagation:-

With each stage producing additional product, this component of the process is repeated repeatedly. When [tex]U_{236} ^{92}[/tex] splits apart, neutrons are released, which start the nuclear fission of more uranium atoms.

3. Termination:

The chain will come to an end eventually. Termination might take place if the reactant [tex]U_{235} ^{92}[/tex] is exhausted or if the subsequent neutrons in the chain leave the sample without being absorbed by [tex]U_{235} ^{92}[/tex].

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the speed of flywheel is 300 rpm just before a punching operation,then the speed of the flywheel immediately after the punching operation is 299.93 rpm.

The answer of the above question is as follows:

mass of the flywheel of the punching machine (m) is 300 kg .

radius of gyration of the flywheel is :

[tex]k = 600 mm \times \frac{1m}{100mm} = 6m[/tex]

work to be done against each punching by the wheel (W) is 2500J.

initial angular velocity of the flywheel is:

[tex]w = 300rpm \times \frac{ \frac{\pi}{30} \frac{rad}{s} }{1rpm} = 10 \frac{\pi \: rad}{s} [/tex]

therefore the angular speed of the flywheel immediately after punching is given by

w1 =299.93 rpm

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Disclaimer : the given question is incomplete, thus the complete question is as follows:

Question: The flywheel of a punching machine has a mass of 300 kg mass and a radius of gyration of 600 mm. each punching operation requires 2500 J of work.

(a) knowing that the speed of the flywheel is 300 rpm just before a punching,determine the speed immediately after the punching.

Static electric fields are caused by charged particles when the atoms which compose the particle will have the same number of electrons as protons.

Each point in space has an electric field associated with it when the charge of any kind is present. The value of E, often known as the electric field strength, electric field intensity, or just the electric field, expresses the strength and direction of the electric field.

Both the electromagnetic wave produced by a radio broadcast monopole antenna and the field created in the dielectric of a parallel-plate capacitor are examples of electric fields (which create a time-varying field). Every place in space where a charge, regardless of its shape, is present is said to have an electric field, which is an electric attribute. The electric field's equation is given as E = F / Q.

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Dr. Berenson's study showed that when obese children reach adulthood they are 8 times more likely to develop high blood pressure than healthy weight children.

Dr. Berenson (September 19, 1922 – November 22, 2018) was an American cardiologist, heart researcher, and public health expert who specialised in determining the root causes of cardiac conditions. According to Dr. Berenson's foundational research, childhood routines and habits are the root cause of adult heart disease. He also found that compared to people with no cardiovascular risk factors, those with three or four cardiovascular risk factors had atherosclerosis that was noticeably more evident. Dr. Berenson began teaching at Tulane University after being released from the U.S. Navy in 1948. He started a two-year research fellowship at the University of Chicago in 1952, where Dr. Berenson worked on rheumatic fever investigations with Albert Dorfman, the department's chief.

According to dr. berenson's study, when obese children reach adulthood, how many times more likely are they have high-blood pressure?

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If 6 j of work is needed to stretch a spring from 9 cm to 11 cm and another 10 j is needed to stretch it from 11 cm to 13 cm, the natural length (in cm) of the spring will be 7cm

The restoring force is a function only of position of the mass or particle, and it is always directed back toward the equilibrium position of the system. The restoring force is often referred to in simple harmonic motion. The force which is responsible to restore original size and shape is called restoring force.

In physics, Hooke's law is an empirical law which states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distance—that is, Fs = kx, where k is a constant factor characteristic of the spring (i.e., its stiffness), and x is small compared to the total possible deformation of the spring.

6 =  [tex]\int\limits^ {11-l}_ {9-l}\, kxdx[/tex]

6 = 1/2 k [tex]x^{2}[/tex]   lm (9 - l) to (11 - l)

6 = 1/2 k [  [tex](11-l)^{2}[/tex] - [tex](9-l) ^{2}[/tex] ]

12/k = 40 - 4l                         equation 1

10 =  [tex]\int\limits^ {13-l}_ {11-l}\, kxdx[/tex]

10 =  1/2 k [tex]x^{2}[/tex]   lm (13 - l) to (11 - l)

20 k = 48 -4l                  equation2

solving equation  1 and 2 , we get

12/20 = 40 - 4 l / 48 -4 l    

l = 7 cm

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Both the turbines take same amount of time to rotate through 1. 0 radian of angular displacement.

Given,

[tex]R_{A}[/tex] = [tex]2R_{B}[/tex]

[tex]V_{A}[/tex] = [tex]2V_{B}[/tex]

As, angular velocity is, ω

So, ω[tex]_{A}[/tex] = [tex]V_{A}[/tex] / [tex]R_{A}[/tex]

     ω[tex]_{A}[/tex] = 2[tex]V_{B}[/tex] / 2[tex]R_{B}[/tex]

      ω[tex]_{A}[/tex] = [tex]V_{B}[/tex] / [tex]R_{B}[/tex]

also, ω[tex]_{B}[/tex] = [tex]V_{B}[/tex] / [tex]R_{B}[/tex]

And angular displacement is , θ

θ = ω / t

t = θ / ω

[tex]t_{A} = t_{B}[/tex] = [tex]R_{B}[/tex] / [tex]V_{B}[/tex]

Therefore, Both the turbines take same amount of time to rotate through 1. 0 radian of angular displacement.

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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 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 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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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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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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The electronic components are often used to prevent large voltage spikes from being produced when the current flow through an inductor is suddenly terminated is diode.

Inductive fly back refers to the voltage spike created by an inductor when its power supply is suddenly reduced or removed. This voltage spike occurs because the current flowing through the inductor cannot change instantly. The rate at which the current can change is limited by the inductor's time constant.

Diodes are used to protect circuits by limiting the voltage and to also transform AC into DC. Semiconductors like silicon and germanium are used to make the most of the diodes. Even though they transmit current in a single direction, the way with which they transmit differs. There are different kinds of diodes and each type has its own applications.

Voltage spikes occur when the current flow through an inductor stops and the current decreases exponentially. The electronic device "diode" is used to prevent induced voltage spikes because of the current flow in the forward direction and stops the current in the reverse direction.

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The noon solar zenith angle is 55.5°.

Zenith Angle = latitude where you are at ± subsolar point

If the subsolar point and your latitude are in the same hemisphere, subtract.

If the subsolar point and your latitude are in different hemispheres, add.

In this case you are in north latitude and the winter solstice in south latitude. So according to the formula,

Zenith Angle = latitude where you are at + subsolar point

⇒Zenith Angle = 32°+23.5°

⇒Zenith Angle =55.5°

Hence, the noon solar zenith angle for this case is 55.5°.

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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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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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Answer: 150 metres/5 seconds/5 seconds

Explanation:

Find the acceleration/deceleration
v^2 = u^2 + 2as; v=final velocity u=initial velocity a=acceleration s=distance
0^2 = 20^2 + 2*a*50
a = -4 m/s Therefore, the particle is decelerating at 4 m/s
From there, we can work out PQ
Using the same equation, we get that
20^2 = 40^2 + 2*-4*s
s = 150 m so Distance PQ is 150 metres
Finding the time taken to cover PQ and PR uses a different equation
v = u + at; t = time and everything else is the same
20 = 40 - 4t
t = 5 s so Time taken to cover PQ is 5 seconds
0 = 20 - 4t
t = 5 s so Time taken to cover PR is also 5 seconds

Homo erectus’s cranial capacity -  ranges from 650 cc to 1,200 cc.

Homo erectus, an extinct species of Pleistocene archaic human, first appeared about 2 million years ago. The earliest known early human with dimensions similar to modern humans, including relatively long legs and small arms compared to the size of the torso, is Homo erectus. An extinct species of hominin that existed between 1.9 million and 135,000 years ago is known as homo Erectus.

The Homo erectus had certain ape-like characteristics, including huge teeth and a hefty jaw. They hunted and ate cooked meat, and they used fire. After closer inspection, it was discovered that the species' teeth showed signs of a diversified diet that included meat intake.

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The day of the year that has the greatest amount of insolation is June 20 or 21, and December 21 or 22 in the Southern Hemisphere.

Solar radiation that enters the Earth's atmosphere or surface is known as insolation. Only around 52% of this insolation reaches the surface of the earth. The remainder is reflected by the Earth's surface and dispersed by airborne particles, or it is absorbed by water vapor, dust, and clouds.

The portion of Earth south of the equator, a hypothetical horizontal line that circles the planet halfway between its poles, is known as the southern hemisphere. The Northern Hemisphere sees its peak insolation and summer on June 21 as a result of the Earth's continuous motion, with the highest overhead sun now over the Tropic of Cancer (23.5° N).

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The self inductance can be calculated as 4.444 Henry.

The inductor will store energy = 20 joule,

current = 3 ampere.

     The current carrying conductor which allows or opposes the change of flow of current is known as self-inductance. The rate of change of current can also be given through self inductance.

Formula can be given  for the energy in the inductor as,

                      E = 1 / 2 × L × I² joule.

where as,    E - Energy

                    L - Inductance

                    I - Current flowing through the coil.

The equation can be rearranged as,

                      L =  2 E/ I²

                         =  2 × 20 / 3²

                         =  40 / 9

Hence,           L =  4.4444 Henry

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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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The Inverse Square Law applies to Radiation. It states that the intensity of any radiation source is inversely proportional to the square of the distance from the source.

I would rather call it “an inverse square law”. Some things vary inversely as the square of something (usually distance) and some things don’t.

For instance, the quantity of light energy per second falling on a tiny area* is inversely related to the square of the distance from the source if a point light source emits light uniformly in all directions. The energy per second will decrease by four times with every twofold increase in distance for a certain area, and nine times with every threefold increase in distance. (Ideally, the area should be a sphere centered on the point source to make the distance clear; nonetheless, an approximate solution is a tiny plane area perpendicular to the line from the point source.) Therefore, light obeys the inverse square law (at least in Euclidean space).

The gravitational and electrical forces are some examples of entities that adhere to the inverse square law. On the other hand, gravitational and electrical potentials adhere to an inverse rule, whereby the potential must be reduced by a factor of two times the distance.

Thank you,

Eddie

The inverse square law states that the intensity or strength of a physical quantity decreases in proportion to the square of the distance from the source.

The inverse square law is expressed as:

Intensity = k / (distance)²

As you walk further from the source, the light from a point source loses intensity as it spreads out across a wider region.

The square of the distance between two objects' centers determines how much gravity there is between them. The gravitational pull between two things lessens as they are pulled apart more.

As you get further from the source of the music, the sound waves become less intense.

Inverse square law governs the strength of the magnetic and electric fields surrounding a charged particle or a wire carrying current.

An important tenet of physics is the inverse square law, which can be used to explain a variety of natural events.

Therefore,  the intensity or strength of a physical quantity decreases in proportion to the square of the distance from the source.

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When calculating building energy performance, these are included as process energy:

Ways to improve BEPS

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Answer:

B. 2 m/s

Explanation:

With all collisions, momentum is conserved. This is known as the Conservation of Momentum.

To find the momentum of an object, multiply its mass by its velocity.

[tex]m_yv_y+m_ov_o=(m_y+m_o)v_f[/tex], solving for vf

Plugging in numbers, we get:

[tex]100\cdot 8 + 200(-1)=(100+200)v_f[/tex]

[tex]300v_f=600,\\v_f=\boxed{2\text{ m/s}}[/tex]