A clock in a spaceship is observed to run at a speed of only 3 4 that of a similar clock at rest on earth. how fast (in terms of c) is the spaceship moving?

Answers

Answer 1

The speed of spaceship which run at a speed of only 3 4 that of a similar clock at rest on earth is 2.4 x 10^8 m/s

As from the given data, the clock in a spaceship is observed to run at a speed of 3/5 of a similar clock that rest on the earth is

T/T° = 3/5

When time moves at a high rate of pace, it slows down. The quantity of time dilation increases as an object moves more quickly. The constant speed of light, independent of the source of the light and the viewpoint of the observer, is partially explained by time dilation.

The expression for the time dilation is given by

T = γT°

γ = T/T°

γ = 1/√1 - v^2/c^2 is time dilation

Substituting the values in the above equation as,

γ = T/T°

5/3 = 1/√1 - v^2/c^2

v^2/c^2 = 16/25

v = 0.8 c

v = 0.8 x 3 x 10^8 m/s

v = 2.4 x 10^8 m/s

Hence, speed of spaceship moving is

2.4 x 10^8 m/s

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Related Questions

What is measured in this spectroscopic method?
the vibrational frequency of a bond the frequency that causes a nucleus to flip its spin the absorption of light energy over a specified wavelength range

Answers

The vibrational frequency of a bond is measured in this spectroscopic method

What is spectroscopic method ?

To investigate the molecule level interaction, spectroscopic methods are used. In this regard, nuclear magnetic resonance is one method (NMR). NMR is utilised to analyse the interaction between mucus and polymers, and carbon and/or proton NMR can also elaborate this interaction.

Atomic absorption spectroscopy (AAS), atomic emission spectroscopy (AES), and atomic fluorescence spectroscopy are the three basic forms of atomic spectroscopy (AFS).

The structure of atoms and molecules can be studied using spectroscopy. These systems emit a wide range of wavelengths, allowing researchers to examine their structures in great detail—including the configurations of the electrons in their ground and multiple excited states.

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4. What is the density of a cube that when placed on a triple beam balance measures to be 64g and has volume of 8cm 3 ?

Answers

This is an exercise on the density of liquids and gases.

The data provided in the exercise are:

Density (d) = ?

Mass (m) = 64g

Volume (v) = 8cm³

To calculate the density of the cube when it is placed on the balance, divide the mass divided by the volume. We apply the following formula:

d = m/v

We substitute our data in the formula and solve:

d = (64 g)/(8 cm³)d = 8 g/cm³

Answer: The density of the cube placed on the three-beam balance is 8 g/cm³.

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Suppose you push to the right on a heavy piece of furniture but not hard enough to make it slide. does a friction force act on the furniture?

Answers

Yes, a friction force to the right acts on the furniture.

What do you mean by friction force?

The force preventing solid surfaces, fluid layers, and material components from sliding past one another are known as friction. When surfaces in contact move past one another, the friction between the two surfaces transforms kinetic energy into thermal energy (that is, it converts work to heat). As demonstrated by the utilization of friction produced by rubbing pieces of wood together to start a fire, this feature can have dramatic effects. Every time there is motion with friction, such as when a viscous fluid is agitated, kinetic energy is transformed into thermal energy. Wear is a significant side effect of several types of friction that can result in deteriorated performance or component damage. The discipline of tribology includes friction.

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A barge filled with ore floats in a canal lock. if the ore is tossed overboard, the water level in the lock will?

Answers

If the ore is tossed overboard, then the water level in the lock will remain the same.

In the above situation, Archimedes’ Principle is used.

It was given by a Greek Scientist, Archimedes in 246 CE.

According to this principle, the upward buoyant force on a body that is exerted on a body immersed in a liquid is equal to the weight of the liquid displaced by the body.

The formula for Buoyant force is given by the following formula

Force = ρ x g x v

Here  ρ = density of the fluid

g = acceleration due to gravity

v = Volume of the fluid

Thus, When the ore is tossed overboard, then it displaces water equal to its weight, so the water level remains the same.

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One kilogram equals 1000 grams. one milligram equals 0.001 grams. how many milligrams are in one kilogram?

Answers

By conversion unit, 1 kilogram is equal to 10⁶ milligrams or 1000000 milligrams.

We need to know about a conversion unit to solve this problem. Kilogram is the SI unit for length but there are other units which able to determine the length such as gram and milligram. The conversion unit of milligram to kilogram is

1 mg = 10¯⁶ kg

1 mg = 0.000001 kg

From the question above, we know that the question is converting 1 kg to 1 mg, Hence

1 mg = 10¯⁶ kg

multiply by 10⁶

1 kg = 10⁶ mg

or we can write

1kg = 1000000 mg

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When the position of a block in simple harmonic motion on a spring is zero, what other quantity is also zero?
a) acceleration
b) phase
c) constant
d) frequency
e) velocity

Answers

When the position of a block in simple harmonic motion on a spring is zero, acceleration of the block is also zero.

Position of a block performing simple harmonic oscillation is given by

[tex]x(t) = ASin(wt - \phi)[/tex]  where, '[tex]A[/tex]' , '[tex]w[/tex]' and '[tex]\phi[/tex]' are the amplitude, angular velocity and phase difference of the particle performing simple harmonic oscillation. Substituting time [tex]t = \frac{1}{w} + \phi[/tex] in the [tex]x(t) = ASin(wt - \phi)[/tex] we get position of the block to be zero. This implies the position of the block is zero at time [tex]t = \frac{1}{w} + \phi[/tex].

Now, the acceleration is the second derivative of position w.r.t time, thus, [tex]a(t) = -w^{2}ASin(wt - \phi)[/tex] is the acceleration of the block. Now, the acceleration of the block at time [tex]t = \frac{1}{w} + \phi[/tex] becomes zero.

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The kinetic and potential energy of a harmonic oscillator in motion:_______
a. are time-independent
b. are perfectly correlated
c. are independent
d. are perfectly anticorrelated

Answers

The correct option is D.

The Kinetic Energy and The Potential Energy are perfectly anti-correlated.

Kinetic energy and potential energy are two types of energy that are frequently found in mechanical systems and are referred to as mechanical energy in physics. The idea of mechanical energy conservation is based on an even more general principle known as the law of conservation of energy; the main distinction is that in mechanical energy conservation, all the system's energy is either in the form of kinetic energy, potential energy, or both. A restoring force in a harmonic oscillator works in the direction of an equilibrium point. Simple harmonic motion, which we refer to as repeating the motion, is produced by the force. The system's mechanical energy, which includes both potential and kinetic energy, is ideally constant. In actuality, the energy is preserved by allowing one quantity to grow when the other shrinks, and vice versa. An anti-correlation is a term that describes a negative correlation.

To summarize the kinetic energy and potential energy in a harmonic oscillator are perfectly anti-correlated. The correct option is D.

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How far from a 1.00 uc point charge will the potential be 100 v? at what distance ;will it be 2.00 x 10^2

Answers

The charge will the potential be 100 V =  1.112 x10⁻¹² C

distance is 4.994 × 10⁻⁵m

v = 100V

K = 8.988 x 10⁹ NM²/C²

r = 1.00 μC

charge may be defined as physical quantity which experience force when placed in an electromagnetic field.

It is measured in coulomb (C)

It is represented by the symbol q.

The formula to find how far from a 1.00 μC point charge will the potential be 100V.

V = kq / r     ........1

q = rV/ K

Where

V = Electric potential

q = charge

r = distance

k = Coulomb's constant.

Charge = (1.00 x 10⁻⁶m)(100)/ 8.988 x 10⁹ NM²/C²

q = 1.112 x10⁻¹² C

So, The charge will the potential be 100 V =  q = 1.112x 10⁻¹² C

distance at which it will be 2.00 x 10^2 is given by

using equation 1

V = kq / r  

r = kq/V

using above values we have

r =8.988 x 10⁹ NM²/C² x 1.112x 10⁻¹² C /2.00 x 10²

r = 4.994 × 10⁻⁵m

distance is 4.994 × 10⁻⁵m

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True/false: you should begin viewing a specimen with the 10x objective lens.
a. true
b. false

Answers

You should begin viewing a specimen with the 10X objective lens that is false.

What is a lens?

An optical device known as a lens uses refraction to focus or disperse a light beam. A compound lens is made up of multiple simple lenses (elements), typically aligned along a common axis, as opposed to a simple lens, which is one solid piece of transparent material. Glass or plastic are used to make lenses, which are then polished or molded into the required shape. In contrast to a prism, which just refracts light without focusing it, a lens can focus light to create an image. In addition to focusing visible light, lenses can also be used to disperse various types of waves and radiation, such as explosive, microwave, electron, and acoustic waves.

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More solar energy reaches the equatorial regions than the polar regions because the equatorial regions _______

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More solar energy reaches the equatorial regions than the polar regions, because of spherical shape of the Earth, sunlight falls on different parts at different angles. The sun rays falls on the equator directly and focused therefore, the regions are hotter and warmer. The polar regions receive diffused sun rays, so that the areas there are colder.

The type of energy generated by the sun is known as the solar energy. Solar energy is created by nuclear fusion that takes place in the sun. Fusion occurs when protons of hydrogen atoms violently collide in the sun's core and fuse to create a helium atom.

The power of Sun and Stars can be assumed by the process of nuclear fusion reaction. In a fusion reaction, two light nuclei merge to form a single heavier nucleus. The process releases energy because the total mass of the resulting single nucleus is less than the mass of the two original nuclei. The leftover mass becomes energy.

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A father and his young daughter are ice skating. they face each other at rest and push each other, moving in opposite directions. which one has the greater final speed?

Answers

Answer:

daughter has the greater speed

Explanation:

hopefully this helps

What type of turbine is frequently used instead of electric motors so that it will continue to run in the event of a power outage?

Answers

The most adaptable type of turbo machinery available today is the gas turbine. It can be employed in a variety of ways in crucial sectors like aviation, oil and gas, process facilities, power generation, and smaller allied industries.

How long do power outages often last ?

Typically, outages last about 1-2 hours. Recall that all outage start times are approximations. They are intended to be suggestions rather than set schedules. You may aid in averting outages. The three most frequent causes are overload, human mistake, and natural causes. A halt or failure in the flow of power, particularly electricity. A two-hour blackout on the East Coast during which power is lost. A halt in a machine or mechanism's operation brought on by a problem with the electrical or power source.

Basically, any disruption between the production of electricity and its delivery to houses might result in a power outage. It can be caused by bad weather, human error, defective equipment, and even animal involvement.

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write a hypotheses about the use of an objects physical charecteristics to determine its density use the format "if then because" and be sure to answer the lesson question "how can the density of an object be determined?

Answers

i don't know.

Explanation:

because i don't want responde

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?

Answers

[tex]9 m/s^{2}[/tex] is the distance traveled by the car in the 8.5 s

U = 0 (rest)

V= 76.5 m/s

t= 8.5 second

a=?

We are related

V=u+at

76.5 m/s = 0+a×8.5

⟹a= 76.5/8.5 = [tex]9 m/s^{2}[/tex]

Hence, the car's acceleration [tex]9 m/s^{2}[/tex]

What is distance travelled?

The route taken by a body to travel from a starting point to an ending location in a predetermined amount of time and at a predetermined speed is known as the distance travelled. Considering a constant velocity:

Distance is calculated as time multiplied by velocity.

The formula is denoted as d = v×t.

D is the distance, as stated.

V is the speed.

t is the time.

The formula for calculating distance traveled can be used to calculate how far driving a car or swimming laps in a pool will take you.

The distance and speed while driving an automobile are measured in kilometers per hour, respectively.

The distance swim will be measured in terms of laps while doing laps in a pool.

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A jogger travels a route that has two parts. the first is a displacement a of 2.95 km due south, and the second involves a displacement b that points due east. the resultant displacement a + b has a magnitude of 4.45 km. (a) what is the magnitude of b, and (b) what is the direction of a + b as a positive angle relative to due south? suppose that a - b had a magnitude of 4.45 km. (c) what then would be the magnitude of b, and (d) what is the direction of a - b relative to due south?

Answers

(a) The magnitude of →B is 2.43 km,

(b) The angle relative to due south is 56.7o in anti-clockwise direction.

© The magnitude of the →A−→B displacement is |→A−→B|=4.45 km

(d) The angle relative to due south is 326.7o in counterclockwise direction

326.7o

If there is a given vector →A then its opposite vector will be −→A

If the vector →A makes an angle θ above the positive x axis then the vector −→A will make the same angle below the negative x axis.

Given that:  

The first displacement vector is →A=−2.95 ^j km

The second displacement vector is →B=B^i

The magnitude of the resultant displacement is |→A+→B|=4.45 km

Let this resultant makes an angle θ above the positive x axis.

The resultant of the given vectors is,

→A+→B=−2.95 ^j km + B ^i (4.45 cos θ ^i+4.45 sin θ ^j) km

=−2.95 ^j km + B ^i

By comparing both sides, we get

(4.45 sin θ ^j) km

=−2.95 ^j km

⟹θ=−56.7∘

or 90∘−56.7∘= 33.3∘ with south.

and (4.45 cosθ ^i) km

=B ^i(4.45 cos (−33.3∘) ^i) km

=B ^i

B=2.43 km

The magnitude of →B

is 2.43 km

b.) The angle relative to due south is 56.7o in anti-clockwise direction.

The magnitude of the →A−→B

displacement is |→A−→B|=4.45 km

Let this resultant makes an angle αabove the positive x axis.

c.) The difference of the given vectors is,

→A−→B=−2.95 ^j km−B ^i(4.45 cosα ^i+4.45 sinα ^j) km

=−2.95 ^j km−B ^i

By comparing both sides, we get

(1.77 sinα ^j) km

=−1.32 ^j km

α=−56.7o

or 270∘+56.7∘=326.7o

with south.

and (4.45 cosα ^i) km

=−B ^i(4.45 cos(−56.7∘) ^i) km

=−B ^i

B=−2.43 km

The magnitude of →B

Is 2.43km

(d) Hence, the angle relative to due south is 326.7o in counterclockwise direction

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If one object has a greater speed than a second object, does the first necessarily have a greater acceleration? explain, using examples.

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If one object has a greater speed than a second object, the first not necessarily have a greater acceleration.

Acceleration is the rate of change of velocity. An object can have a greater speed but with zero acceleration if the velocity is constant.

For example, Consider a driver A driving his car at a constant speed of 60 Kmph. and crosses another driver B. Consider driver B at rest the moment the driver A crosses him. But the driver B drives faster than the driver A and catches up with driver A even though the driver A was driving at 60 Kmph when the driver B just started driving from 0 Kmph.

Therefore, if one object has a greater speed than a second object, the first not necessarily have a greater acceleration.

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How many kilograms are there in 56.2 mg? express your answer in scientific notation, and include the proper abbreviation for the unit. do not use e or e to express your answer.

Answers

There are 56.2 x 10^-6kg or in simple terms 0.0000562 kg in 56.2mg.

How to deduce this?

This can be explained as 1 kg = 10^6 mg

Or if you want to even simplify it much further, it can be deduced by

1 kg = 1000g and 1 g = 1000mg

This means 1 kg = (1000 x 1000) mg

Which means 1 kg = 1000000 mg or 10^6 mg.

So, to answer this question we have to reverse the process we have done here.

This means 1 kg = 10^6 mg

Which implies 1mg = 1/ 10^6 kg

Or it can be written as 1 mg = 10^-6 kg

So, 56.2 mg = 56.2 x 10^-6 kg and that is your answer.

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The supply curve measures quantity ______ on the horizontal axis and ______ on the vertical axis.

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The supply curve measures quantity supplied on the horizontal axis and price on the vertical axis.

What is supply curve?The supply curve illustrates the relationship between the price of an item or service and the volume delivered over a specific time period. In a typical scenario, the amount supplied will be shown on the horizontal axis and the price will be shown on the left vertical axis.Supply curves frequently predict whether the price of a commodity will rise or fall in response to demand, and vice versa.The supply curve for products with greater elastic supply is shallower (near horizontal), whereas the supply curve for products with less elastic supply is steeper (closer to vertical).The two main tenets of the law of supply and demand are the supply curve and the demand curve.

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Someone standing at the edge of a cliff throws one ball straight up and another ball straight down at the same initial speed. Neglecting air resistance, which ball has the greatest final velocity upon reaching the ground?.

Answers

Both balls have the same velocity upon reaching the ground.

Each ball is given some kinetic energy at the edge of the cliff that takes one upwards and the other down.Since the launching height is the same for both balls each one possesses some potential energy measured relative to the ground down there.Since the air resistance is neglected there would be no resistive forces acting upon each ball that could draw away some of the energy each ball has and therefore, the mechanical energy of each ball is conserved throughout the flight.So, if one writes the energy equation from the edge of the cliff to the ground, it would yield the following result.

                    [tex]\begin{aligned}\\\small K.E +P.E &=\small K.E_1 +P.E_1\\\\\small \frac{mv^2}{2}+mgh&=\small \frac{mV^2}{2}+0\\\\\small V&=\small \sqrt{v^2+2gh}\end{aligned}[/tex]

The magnitude of the final velocity does not depend on the mass of the ball.Therefore, both balls would have the same velocity at the ground as they are given the same initial speed at the same initial height.

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Parallels of _________________ measure the distance north and south of the _______________.

Answers

Parallels of Latitude measure the distance north and south of the Equator.

The distance north or south of the equator is measured by latitude. Latitude lines, often known as parallels, are imaginary lines that divide the Earth. They go east to west, although you may measure north or south. The most well-known parallel is the equator. At 0 degrees latitude, the equator is midway between the North Pole and the South Pole.

The world is divided into two halves by an equator: the Northern Hemisphere and the Southern Hemisphere. The Earth's equator is the widest point on the planet. The circumference of the Earth, measured at the Equator, is 40,075 kilometres (24,901 miles).

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Five particles are shot from the left into a region that contains a uniform electric field. The numbered lines show the paths taken by the five particles. A negatively charged particle with a charge –3q follows path 2 while it moves through this field. Do not consider any effects due to gravity. In which direction does the electric field point?.

Answers

An electric field that has a constant field strength value throughout is said to be uniform. Since the field strength is constant and the field lines are generally parallel and evenly spaced from one another in a uniform electric field. Their separation is equal.

What is an electric field point?

Each point in space has an electric field associated with it when there is a charge present in any form. 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.

What is meant by a uniform electric field?

An electric field that has a constant field strength value throughout is said to be uniform. Since the field strength is constant and the field lines are generally parallel and evenly spaced from one another in a uniform electric field. Their separation is equal.

Therefore, the correct answer is option D) toward the bottom of the page.

The complete question is:

In which direction does the electric field point?

A) toward the top of the page

B) toward the left of the page

C) toward the right of the page

D) toward the bottom of the page

E) out of the page, toward the reader

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Does a negatively charged particle released at rest move towards higher or lower electric potential?.

Answers

A negatively charged particle released at rest will move towards regions of high potential in this context.

What is Electron potential?

This is defined as the amount of work energy which is required to move a unit charge from one point to another in an electric field.

Negative charges which start from rest, accelerate from regions of low potential and move toward regions of high potential due to the strong Coulomb attraction.

On the other hand, positive charges starting from rest will accelerate from regions of high potential and move towards that of a low potential as a result of it having a weak coulomb attraction which makes it to easily get moved to a potential which has a weak strength.

This is therefore the reason why a higher potential was chosen as the most appropriate choice.

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If the maximum possible accuracy in measuring the positon of a particle increases the naximum possible accuracy in measuring it velocity will?

Answers

The highest precision for determining a particle's position will rise as the maximum accuracy for determining its velocity will fall.

What is velocity?

The pace at which an object's position changes as perceived from a particular point of view and as measured by a particular unit of time (for example, 60 km/h northbound) is defined as its velocity. Velocity is a fundamental concept in kinematics, the branch of classical mechanics that deals with the motion of bodies.

In order to be defined, the physical vector quantity known as velocity needs to have both a magnitude and a direction. In the SI, speed is expressed in meters per second (m/s or m/s1), a coherently derived unit (metric system). Speed is the magnitude of a scalar absolute value of velocity.

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Drag the positive or negative feedback loop on the left to each process on the right. terms may be used once, more than once, or not at all.

Answers

The order of the positive and negative feedback loops are positive, positive, negative, positive, positive, negative.

What is a feedback loop?

A system component known as a feedback loop is one in which all or a portion of the output is used as input for subsequent actions. A minimum of four phases comprise each feedback loop. Input is produced in the initial phase. Input is recorded and stored in the subsequent stage. Input is examined in the third stage, and during the fourth, decisions are made using the knowledge from the examination.

Both negative and positive feedback loops are possible. Insofar as they stay within predetermined bounds, negative feedback loops are self-regulating and helpful for sustaining an ideal condition. One of the most well-known examples of a self-regulating negative feedback loop is an old-fashioned home thermostat that turns on or off a furnace using bang-bang control.

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One-half second after starting from rest, a freely falling object will have a speed of about:_________
a. 20 m/s.
b. 10 m/s.
c. 5 m/s.
d. 2.5 m/s.
e. none of these

Answers

One-half second after starting from rest, a freely falling object will have a speed of about 5 m/s.

What do you mean by falling object?

Falling things include goods, tools, garbage, and rubbish that are blown, dropped, or displaced from heights.

Physical science research frequently involves the study of gravity. Of course, what makes things fall is the force of gravity. A force of attraction between two objects is constant. This pulling force is similar to the pull of gravity.

given free fall from rest i.e.

initial velocity u=0 m/s

acceleration  a = 10m/s2

time t=0.5 seconds

we know final velocity v = u + at = 0 + (10 *0.5) = 5m/s

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In a population of 200 mice brown fur is dominant to gray fur. of 120 of the 200 mice have brown fur, what is the frequenzy?

Answers

The frequency of the mice with brown fur is 0.77.

Using the Hardy-Weinberg Principle, we can find out the frequency of occurrence of alleles of a gene or a locus.

The algebraic equation for Hardy-Weinberg Principle is,

p^2 + 2pq + q^2 = 1

Here, p^2 represents the frequency of the dominant allele

q^2 represents the frequency of the recessive allele

2pq represents the frequency of heterozygotes

Out of 200 mice, 120 have brown fur and brown fur is the dominant allele.

Thus, the frequency of brown fur is

p^2 = 120/200 = 0.6

p = 0.77

Hence, the frequency of the mice with brown fur is 0.77.

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How many years would it take to reach the planet saturn if you traveled with the speed of boeing 747 which is 570 miles per hour?

Answers

If you travel at the speed of a Boeing 747, which means 570 miles per hour, it will take you about 159 years to reach Saturn.

How to deduce it?

Saturn has orbiting distance from the sun at a mean distance of about 1.4 billion km or 887 million miles. Calculating from that, it’s from earth would be about 1.29 billion km, adding up to 795 million miles.

So, to calculate the years that it would take to reach Saturn, first, let’s convert the hours to years so that we can find out years in the end.

1 hour can be written down as 0.0001141155 years as per calculation.

So, then the Boeing 747 travels at a speed of 570 miles per 1.1141155 x 10^-4 year

So, to reach to travel a distance of 1 mile, Boeing 747 takes {(1.1141155 x 10^-4) / 570} years.

So, in order to travel 790 million miles, Boeing 747 takes 795,000,000 x {(1.1141155 x 10^-4) / 570} years.

If we calculate it, we get the answer around 159 years.

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The approach that makes use of rational and systematic reasoning to answer the great questions of life and existence is known as:________

Answers

The approach that makes use of rational and systematic reasoning to answer the great questions of life and existence is known as:

Socratic method.

The socratic method Worst drive from the Greek philosopher socrates.

It is a method of hypothesis elimination in that we found quickly identifying and eliminating those leads to contradictions.

This method is also known as elenctic method, socratic debate

Socrates applied his method of examination generally to find the concepts that seems to lack any concrete definition.

socratic method is also known as question answer method.

in his case this personal investigation arguments assume a form of dialogue that's why we said it question answer method.

The approach that makes use of rational and systematic reasoning to answer the great questions of life and existence is known as:

Socratic method.

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An object is launched from the base of an incline, which is at an angle of 30° If the launch angle is 60° from the horizontal and launch speed is 10m/s. What is the total flight time ?​

Answers

Answer:

4.6 s, because that is the time for the object to reach the top of the incline.

Explanation:
that at the top of the incline, the horizontal velocity will be equal to the launch velocity, because there is no longer any force acting on the object in the horizontal direction. The only force acting on the object is gravity, which is acting in the vertical direction. So the only velocity that will be changing is the vertical velocity. The vertical velocity will be changing because of the force of gravity, which is 9.8 m/s2. The equation for the vertical velocity is: vf = vi + a*t, where vf is the final velocity, vi is the initial velocity, a is the acceleration and t is the time. The final velocity in this case is 0 m/s, because the object has reached the top of the incline and is no longer moving in the vertical direction. The initial velocity is 10 m/s, because that is the launch velocity. The acceleration is 9.8 m/s2, because that is the force of gravity. So when you plug all of those values into the equation, you get: 0 = 10 + 9.8*t and you solve for t and you get t = 4.6 s.

A spacecraft is orbiting the sun, and makes a maneuver to slow down at aphelion. then, in the new orbit?

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In the new orbit, the new perihelion will be closer to the sun and the aphelion will be unchanged.

In an orbiting celestial body, the point of the orbit where it is closest to the sun is called as Perihelion. In an orbiting celestial body, the point of the orbit where it is farthest to the sun is called as Aphelion.

Therefore when a spacecraft is orbiting the sun, and makes a maneuver to slow down at aphelion. then, in the new orbit the new perihelion will be closer to the sun and the aphelion will be unchanged.

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