day and night are cause by earth's revolution on its axis true or false

Answers

Answer 1
Q: Day and night are caused by earth's revolution on its axis 

A: FALSE, night and day are not caused by earth's revolution on its axis. Night and day are caused by earth's rotation.

If this answer helped you please help me out by marking this answer as brainliest.
Answer 2

FALSE, the earth's rotation on its axis does not cause night and day. The rotation of the earth is responsible for the occurrence of night and day.

What is the earth's rotation?

Revolution and rotation are the terms that describe the different movements of the earth. The movement of the earth on its axis is known as rotation.

Revolution is the movement of the earth around the sun in a fixed route or orbit. The earth's axis, which is an imaginary line, forms a 6612° angle with its orbital plane.

The earth's rotation on its axis does not cause night and day. The rotation of the earth is responsible for the occurrence of night and day.

Hence, the given statement is false.

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Related Questions

In a hydraulic system, piston 1 has a surface area of 100 cm2, and piston 2 has a surface area of 900 cm2. A force of 150 N is exerted on piston 1 of the hydraulic lift. What force will be exerted on piston 2?

Answers

From Pascal's law, we can say that the pressure exerted by piston 1 on the fluid will be transmitted with equal intensity to piston 2:
[tex]p_1 = p_2[/tex] (1)

The relationship between the pressure applied p, the force applied F and the surface A is
[tex]p= \frac{F}{A} [/tex]

So we can rewrite (1) as
[tex] \frac{F_1}{A_1}= \frac{F_2}{A_2} [/tex]
And from this, we can find the magnitude of the force exerted on piston 2, F2:
[tex]F_2 = A_2 \frac{F_1}{A_1}=(900 cm^2) \frac{150 N}{100 cm^2}=1350 N [/tex]

Question 4 of 10 (1 point) Jump to Question: Choose the word that best completes this sentence. A personal fall arrest system is the most ________ type of fall arrest in construction. A. Common B. Expensive C. Necessary D. Useful

Answers

b
is the most logical answer to me

Answer:

A. Common

Explanation:

A personal fall arrest system is the most common type of fall arrest in construction. Personal fall arrest systems are used as protection for OSHA workers who work on construction sites and are exposed to vertical drops of six feet or more. These systems consist of a body harness, anchorage and connector.

Find the Voltage drop (in mV) across an 46.6 m long copper wire with diameter of 1.11 mm and with 47.6 miliAmps of current running through it. (The resistivity of copper at room temperature is 1.68×10-8 Ohm×meter). Express the answer (only numerical value) to the nearest whole number.

Answers

First we need to calculate the resistance of this piece of wire. For a wire with resistivity [tex]\rho[/tex], length L and cross section A, the resistance is
[tex]R= \frac{\rho L}{A} [/tex]
The diameter d of the wire is [tex]d=1.11 mm=1.11 \cdot 10^{-3} m[/tex], so the cross sectional area is
[tex]A=\pi ( \frac{d}{2} )^2=9.7 \cdot 10^{-7} m^2[/tex]
Now, using [tex]L=46.6 m[/tex] and [tex]\rho=1.68 \cdot 10^{-8} \Omega m[/tex], we can calculate the resistance:
[tex]R= \frac{\rho L}{A}= \frac{(1.68 \cdot 10^{-8} \Omega m)(46.6 m)}{9.7 \cdot 10^{-7}m^2} =0.807 \Omega [/tex]

And now we can calculate the voltage drop across the resistor, by using Ohm's law, since we know the current flowing through it: [tex]I=47.6 mA=47.6 \cdot 10^{-3} A[/tex]
[tex]V=IR=(47.6 \cdot 10^{-3} A)(0.807 \Omega)=0.038 V=38 mV[/tex]

A baby is born with an extra chromosome in each of its cells. Which of the following is responsible for this condition?

A.Albinism
B.Mutations
C.Segregation
D.Gene therapy

Answers

THE ANSWER YOU ARE LOOKING IS

(B) MUTATIONS ARE RESPONSIBLE FOR THIS

Answer:

Mutation is correct

Explanation:

The work function (φ) for a metal is 7.40×10-19 j. what is the longest wavelength of electromagnetic radiation that can eject an electron from the surface of a piece of the metal

Answers

Final answer:

To determine the longest wavelength of electromagnetic radiation that can eject an electron from the metal, one can use the equation E = hc / λ, where E equals the work function, h is Planck's constant, c is the speed of light, and λ is the wavelength. Rearranging it as λ = hc / φ and putting the given value of work function and constant values, one can find the required wavelength.

Explanation:

To calculate the longest wavelength of electromagnetic radiation that can eject an electron from the surface of the metal, we need to use the equation which describes the relationship between the energy of a photon (E) and its wavelength (λ). This equation is:

E = hc / λ

Where:

E is the energy of the photon (which is equal to the work function φ in this case), h is Planck's constant (6.63 x 10-34 Js), c is the speed of light (3 x 108 m/s), and λ is the wavelength.

Given the work function φ (7.40×10-19J) and other constant values, we can rearrange this formula to calculate λ:

λ = hc / φ

The result will give you the longest wavelength of electromagnetic radiation that can eject an electron from the metal surface.

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The longest wavelength of electromagnetic radiation that can eject an electron from the surface of a piece of the metal is [tex]2.69 \times 10^{-7}\)[/tex] meters.

We use the photoelectric effect equation:

[tex]\[ E = h \nu \][/tex]

where [tex]\( E \)[/tex] is the energy of the photon, [tex]\( h \)[/tex] is Planck's constant, and [tex]\( \nu \)[/tex] is the frequency of the radiation.

The energy of the photon must be at least equal to the work function [tex](\( \phi \))[/tex] of the metal for the electron to be ejected. Therefore, we have:

[tex]\[ E = \phi \][/tex]

[tex]\[ h \nu = \phi \][/tex]

Since [tex]\( \nu = \frac{c}{\lambda} \)[/tex], where [tex]\( c \)[/tex] is the speed of light and [tex]\( \lambda \)[/tex] is the wavelength of the radiation, we can rewrite the equation as:

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

Solving for [tex]\( \lambda \)[/tex], we get:

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

Given that [tex]\( h = 6.626 \times 10^{-34}\)[/tex] Js (Planck's constant), [tex]\( c = 3.00 \times 10^8\)[/tex] m/s (speed of light), and [tex]\( \phi = 7.40 \times 10^{-19}\)[/tex] J (work function), we can plug in these values to find [tex]\( \lambda \)[/tex]:

[tex]\[ \lambda = \frac{6.626 \times 10^{-34} \text{ Js} \times 3.00 \times 10^8 \text{ m/s}}{7.40 \times 10^{-19} \text{ J}} \][/tex]

[tex]\[ \lambda = \frac{1.9878 \times 10^{-25} \text{ Jm/s}}{7.40 \times 10^{-19} \text{ J}} \][/tex]

[tex]\[ \lambda = 2.6862 \times 10^{-7} \text{ m} \][/tex]

A dog pulls on it's leash with a 10-N force to the left, but doesn't move. Identify the reaction force.

Answers

The reaction force would be 10 N to the right as the dog does not move.

If a boat and its riders have a mass of 900 kg and the boat drifts in at 1.4 m/s how much work does sam do to stop it?

Answers

The initial kinetic energy of the boat and its rider is
[tex]K_i = \frac{1}{2} mv_i^2 = \frac{1}{2}(900 kg)(1.4 m/s)^2=882 J [/tex]

After Sam stops it, the final kinetic energy of the boat+rider is
[tex]K_f = 0 J[/tex]
because its final velocity is zero.

For the law of conservation of energy, the work done by Sam is the variation of kinetic energy of the system:
[tex]W=K_f-K_i =0-882 J=-882 J[/tex]
where the negative sign is due to the fact that the force Sam is applying goes against the direction of motion of the boat.

Sam does 1260 J of work to stop the boat.

The work done by Sam to stop the boat is equal to the change in kinetic energy of the boat.

Work = ΔKE

[tex]Work = KE_f - KE_i\\\\\\Work = 0 - \dfrac{1}{2}mv_i^2\\\\Work = -\dfrac{1}{2}(900 kg)(1.4 m/s)^2\\\\\\Work = -1260 J[/tex]

The negative sign indicates that the work is done by the boat on Sam.

We know that the mass of the boat and its riders is 900 kg. We also know that the initial velocity of the boat is 1.4 m/s. The final velocity of the boat is 0 m/s, since the boat stops. We can use the equation for kinetic energy to calculate the change in kinetic energy of the boat. The change in kinetic energy is equal to the work done by Sam to stop the boat. The work done by Sam is equal to -1260 J.

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You are the juror of a case involving a drunken driver whose 1041 kg sports car ran into a stationary 1928 kg station wagon stopped at a red traffic light. the cars stuck together and slid with locked wheels for 12.0 m before coming to rest. the coefficient of sliding friction on the dry road was 0.60. estimate the speed of the sports car when it hit the station wagon.

Answers

1. Find the force of friction between the sports car and the station wagon stuck together and the road. The total mass m = 1928kg + 1041kg = 2969kg. The only force in the x-direction is friction: F = μ*N = μ * m * g 
2. Find the acceleration due to friction: 
F = m*a =  μ * m * g => a = μ * g = 0.6 * 9.81
3. Find the time it took the two cars stuck together to slide 12m:
x = 0.5*a*t² 
t = sqrt(2*x / a) = sqrt(2 * x / (μ * g) )
4. Find the initial velocity of the two cars:
v = a*t = μ * g * sqrt(2 * x / (μ * g) ) = sqrt( 2 * x * μ * g)
5. Use the initial velocity of the two cars combined to find the velocity of the sports car. Momentum must be conserved:

m₁ mass of sports car
v₁ velocity of sports car before the crash
m₂ mass of station wagon
v₂ velocity of station wagon before the crash = 0
v velocity after the crash

m₁*v₁ + m₂*v₂ = (m₁+m₂) * v = m₁*v₁ 
v₁ = (m₁+m₂) * v / m₁ = (m₁+m₂) * sqrt( 2 * x * μ * g) / m₁
v₁ = 33.9 m/s


response to an unconditioned stimulus that occurs naturally without learning is known as a(n) __________ response.

A.
neutral
B.
conditioned
C.
reconditioned
D.
unconditioned

Answers

The answer is D. Unconditioned
The response to an unconditioned stimulus that occurs naturally without learning and involuntarily triggers reaction is known as an unconditioned response. For example, you smell your favorite food while being cook may make you instantly feel hungry.  

Answer:

the answer is c

The chemical equation shown represents photosynthesis. Carbon dioxide plus A plus light with a right-pointing arrow towards B plus oxygen. The arrow has an x above it. What is the role of substance B in photosynthesis?

It stores chemical energy.
It converts light into chemical energy.
It traps light energy from the atmosphere.
It cools the atmosphere by changing into vapor.

Answers

I don't know the exact answer but I know it is NOT D or C, I am shooting for A but I may be wrong.    A
the answer is a. i think

Which memory system provides us with a very brief representation of all the stimuli present at a particular moment?

Answers

Hey there!

Your answer is the sensory memory.

Sensory memory is very short term. It retains your memory on the first impression and works with the five senses like see, taste, and sight, to keep the image in your mind after processed by stimuli.

Hope this helps!

A motorist is traveling at 20 m/s. He is 60 m from a stoplight when he sees it turn yellow. Is reaction time, before stepping on the brake, is 0.50 s. What steady acceleration (slowing down) while braking will bring him to a stop right at the light?

Answers

V₀ = V₁ + 2ax
V₀ = final velocity which is 0 m/s
V₁ = initial velocity which is 20 m/s
x = distance which is 60-(0.5 x 20) =50m
     this is because his reaction time is 0.5 sec so he traveled 10m before stepping on the break paddle.

a= (V₀-V₁) / 2x
  = (0-20) / 2*50
  = -0.2m/s
the negative is because it is a deceleration speed hence it is 0.2m/s

Final answer:

A motorist traveling at 20 m/s and located 60 m from a yellow stoplight needs a steady deceleration of 4 m/s², after a reaction time of 0.50 s, to stop precisely at the light.

Explanation:

A motorist is traveling at 20 m/s and is 60 m from a stoplight when it turns yellow. The motorist's reaction time is 0.50 s before stepping on the brake. We need to calculate the steady acceleration (slowing down) required to stop the car right at the light.

First, calculate the distance covered during the reaction time. Since the car continues at its initial speed during the motorist's reaction time, the distance covered is:

D_{reaction} = v × t = 20 m/s × 0.50 s = 10 m

This means the remaining distance to be covered under deceleration is 60 m - 10 m = 50 m.

Next, we use the kinematic equation v^2 = u^2 + 2as, where

v = final velocity (0 m/s, since the car stops),

u = initial velocity (20 m/s),

a = acceleration,

s = distance covered under deceleration (50 m).

Rearranging the equation for a, we get:

a = (v^2 - u^2) / (2s) = (0^2 - 20^2) / (2 × 50) = -400 / 100 = -4 m/s².

Therefore, a steady deceleration of 4 m/s² would be necessary for the motorist to stop right at the stoplight.

Which term is used to describe water that is evaporated, polluted, or used by crops? A. degenerated B. consumptive C. controlled D. processed

Answers

The correct answer is (B) Consumptive.

Explanation:
"Consumptive use" is the term used in the field of Water Science to define "the part of water withdrawn that is evaporated, given off by plants, used by crops, consumed by humans or livestock, or otherwise removed from the immediate water environment. It is also referred as water consumed." Hence the correct answer is (b) Consumptive.

An atomic nucleus has a charge of +40e. an electron is 10-9 m from the nucleus. what is the force on the electron?

Answers

The electron charge is equal to [tex]-e=-1.6\cdot 10^{-19}C[/tex]. The atomic nucleus of the problem has a charge of [tex]+40 e=40\cdot (1.6\cdot 10^{-19}C)=6.4\cdot 10^{-18}C[/tex]. The distance between the nucleus and the electron is [tex]r=10^{-9}m[/tex], so we can calculate the electrostatic (Coulomb) force between the two:
[tex]F=k_e \frac{(-e)(+40e) }{r^2} =8.99\cdot 10^9 Nm^2C^{-2} \frac{(-1.6\cdot 10^{-19}C)(6.4\cdot 10^{-18}C)}{(10^{-9}m)^2} =[/tex]
[tex]=-9.2 \cdot 10^{-9} N[/tex]
which is attractive, since the two charges have opposite sign.
Final answer:

The force on an electron placed 10-9 m away from a nucleus with a charge of +40e can be calculated using Coulomb's law, considering the charge of the electron and the proton, the distance between them, and Coulomb's constant.

Explanation:

The question pertains to the force experienced by an electron in the vicinity of an atomic nucleus with a charge of +40e. To calculate this force, we will use Coulomb's law, which states that the electric force (F) between two point charges is directly proportional to the product of the charges (q1 and q2) and inversely proportional to the square of the distance (r) between them. The formula is given by F = k * |q1 * q2| / r², where k is Coulomb's constant (8.9875 × 10⁹ N⋅m²/C²).

Given that the charge of a proton (and thus the atomic number Z) is +e and the charge of an electron is -e, the force will be attractive, and we can ignore the signs for magnitude calculation. The charge of a proton is e = 1.602 × 10⁻¹⁹ C. For a +40e charge, the total charge is 40 × e. Plug these values, along with the given distance of 10 × 10⁻¹ m into Coulomb's law to compute the force on the electron.

Therefore, the magnitude of the force on the electron by a nucleus with a charge of +40e located 10⁻¹ m away can be calculated using the steps above.

A weight suspended from a spring is seen to bob up and down over a distance of 25 cm twice each second. what is its frequency? answer in units of hz.

Answers

For the frequency it is computed by 2 bobs/second which is equal to 2 Hz.Whereas the period is compute by 1/freq = 1/2 secondAnd lastly, the amplitude is the distance from the equilibrium position tot he maximum displacement so in this case, it is one half the 25 cm peak to peak distance, or 12.5 cm.

Is the force that earth exerts on you larger, smaller, or the same as the force you exert on it?

Answers

it is the same! as the normal reaction force from the ground equal and opposite!
if it's smaller then u will sink into the ground!

A child sitting 1.20 m from the center of a merry-go-round moves with a speed of 1.35 m/s. (a) calculate the centripetal acceleration of the child.

Answers

The centripetal acceleration in an uniform circular motion is given by

a = V² / r

Where V is the speed and r the radius of the circle (distance to the center)

a = (1.35 m/s)² / 1.2m  = 1.519 m/s²

Which of the following occurs at the SLOWEST rate? A) deposition B) earthquake C) flood D) landslide

Answers

A. Deposition. 

Because An Earthquake occurs rather quickly, same as a flood or a landslide. 
I wanna say that it is A then. Sorry I will change in a little bit if wrong but that is what I know.
Hope this has helped!

Solar-powered cars use energy from the Sun to work. A panel on the car absorbs light energy from the Sun, which then generates an electric current. This electric current, in turn, allows the car to move. Which shows the correct order of energy transformations that take place in a solar-powered car?

Answers

Radiation is taken in then presumably is immediately turned into electrical energy which also immediately is turned into mechanical energy or stored in the cars battery as chemical energy.
Final answer:

In a solar-powered car, solar energy is converted to electrical energy by solar cells, which is then used to power an electric motor and generate mechanical energy for the car to move.

Explanation:

The correct order of energy transformations in a solar-powered car is:

Solar energy from the Sun is converted into electrical energy by solar cells on the car's panel.Electrical energy is then used to power an electric motor.Mechanical energy is generated from the movement of the electric motor, allowing the car to move.

For example, when sunlight hits the solar panel, the photovoltaic cells in the panel absorb the energy and generate an electric current. This electric current is used to power the motor, which converts electrical energy into mechanical energy that powers the car's movement.

People are able to hear footsteps because the sound made by a foot hitting the floor travels through the air to reach their ears. is this absorption or transmission

Answers

The answer is transmission.

Answer: The correct answer is transmission.

Explanation:

Sound is a form of energy. The energy that survives the transfer is called the sound transmission. If the energy gets absorb then the sound is not heard to the listener. In this case, the absorption will occur.

People are able to hear footsteps because the sound made by a foot hitting the floor travels through the air to reach their ears.  In this case, the sound transmission will occur as the footsteps can be heard. It means that the energy is transferred here.    

A dam is a structure built across a river to hold back the river's water. The flow of water through a dam is controlled by gates. When the gates are closed, water is held at a greater height than it would otherwise occupy.

The water has_________ energy when the gates are closed due to its height. This energy is transformed into _______energy when the gates open and the water begins to flow downward.

Answers

Potential is the first blank and kinetic is the second blank. 

This should be correct

potential is the first one kinetic is the second

Sound waves with large amplitudes push on the eardrum with more force and are heard as _______. Sound waves with small amplitudes push on the eardrum with less force and are heard as _______.

Answers

The first answer is Loud. and the second answer is Soft. 
 i think its using  force

To grasp how weak this field is, if you wanted to produce it between two parallel metal plates by connecting an ordinary 1.5 v aa battery across these plates, how far apart would the plates have to be?

Answers

10 ft because the have to be connected

The distance between two parallel metal plates to create an electric field equivalent to that inside a 1.5V AA battery can be calculated using the formula E = V/d. Without a specific electric field strength value, the exact distance can't be provided. However, due to the low voltage of the battery, the necessary plate separation would be extremely small.

The question is asking how far apart two parallel metal plates must be to create an electric field equivalent to the electric field within a 1.5V AA battery, given that the electric field is uniform. To find out the distance between the plates, we need to use the formula for electric field strength, E = V/d, where E is the electric field strength, V is the potential difference, and d is the distance between the plates.

Since we know the voltage (V) from the AA battery is 1.5 V and we are looking for d, we can rearrange the formula to d = V/E. However, we don't have the value of the electric field strength E inside the battery. If we had a reference value, for example, electric field magnitude from another setup, we could use it to solve for d. For instance, if we knew that the electric field between two plates with a certain separation was, let's say, 4.50  imes 103 V/m for a 15.0 kV potential difference, we could find their distance and then extrapolate for the 1.5V scenario.

Without specific numbers, we cannot provide the exact distance for the plates. However, it's important to realize that the electric field strength would be very small compared to typical laboratory setups due to the low voltage of the AA battery. Hence, the plates separation would have to be extremely small to match the electric field inside the battery.

Your car burns gasoline as you drive up a large mountain. What energy transformation is the car performing?

Answers

It is kinetic energy, cause itts going up hill

Answer:

Explanation:

According to the conservation of energy, energy can neither be created nor be destroyed but can transform from one form to another.

The form of energy is converted into another form is called the transformation of energy.

Here, the chemical energy of the gasoline is converted into kinetic energy of the car.

Radioactive carbon, or C-14, is used to date fossil remains. When C-14 decays, as seen in the nuclear equation, it produces what nuclide of nitrogen? A) N-7 B) N-13 C) N-14 D) N-15

Answers

The reaction of radiodecay of carbon C-14 is
C-14 --> N-14 + e- + (ve)
where e- is an electron and (ve) is an electron-type antineutrino.
Basically, when the carbon nucleus (atomic number: 6, mass number: 14) decays, a neutron of the nucleus converts into a proton (therefore, the mass number remains the same, 14, but the atomic number increases by 1, therefore it becomes nitrogen) and releases an electron-antineutrino pair. 

So, the correct answer is C), N-14.

Answer:

the answer is c

Explanation:

i did it on usatestprep

Water is to be pumped to the top of a building that is 366 m high. If the density of water is 1.00 x 10^3 kg/m^3, what amount of pressure is needed in the water line at the base of the building to raise the water to this height?

a.

1.26 x 10^6 Pa

b.

3.59 x 10^6 Pa


c.

5.39 x 10^6 Pa


d.

2.84 x 10^6 Pa

Answers

The pressure energy at the bottom will be calculated by P/d; d signifies density
The gravitational potential energy at the top will be gh. where: h- height and g - acceleration due to gravity 
Applying energy conservation principle which is P/d = ghTherefore, P = hgd = 366 * 9.8 * 1000 = 3586800 pascal or 3.59 x 10^6 Pa which is B. 

In which of the following is no work done A.climbing stairs B.lifting a book C.pushing a shopping cart D.none of the above

Answers

Final answer:

The correct answer is D. none of the above. In all of the given options, work is done.

Explanation:

The correct answer is D. none of the above. In all of the given options, work is done.

A. Climbing stairs: When you climb stairs, you are doing work against gravity. You are exerting a force to move your body against the force of gravity.B. Lifting a book: When you lift a book, you are also doing work against gravity. You are exerting a force to move the book against the force of gravity.C. Pushing a shopping cart: Pushing a shopping cart requires you to apply a force to move the cart, which is considered work.D. None of the above: This option is incorrect because work is done in all of the given options.

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the planet jupiter revolves around the sun in a period of about 12 years (3.79 × 108 seconds). what is its mean distance from the center of the sun? the mass of the sun is 1.99 × 1030 kilograms.

Answers

F = m A 
A = Ac = v^2/R 
so m A = Mjupiter v^2/R (toward sun) 
F = G Msun MJupiter /R^2 (toward sun) 
so 
G Msun/R^2 = v^2/R 
G Msun = v^2 R 
Time around = circumference /v 
T = 2 pi R/v 
so 
v = 2 pi R/T 
v^2 = (2pi)^2 R^2/T^2 
so 
G Msun = (2 pi)^2 R^3/T^2 
(which by the way is Kepler's Third Law) 
so 
R^3 = G Msun T^2/(2 pi)^2 
G is 6.67*10^-11 
so 
R^3 = 6.67*10^-11*1.99*10^30*14.36*10^16 /39.48 

R^3 = 4.828*10^35 
= .4828 * 10^36 
so 
R = .784 * 10^12 = 7.84 * 10^11 meters

The mean distance between the center of the Jupiter and the center of the Sun is "7.85 x 10¹¹ m"

The force of gravitation between the Sun and Jupiter must be equal to the centripetal force between them, for the equilibrium revolution of Jupiter around the Sun.

[tex]Centripeta\ Force\ on\ Jupiter = Gravitational\ Force\ of Attraction\ \\\\\frac{M_{Jupiter}v^2}{r} = \frac{GM_{Jupiter}M_{Sun}}{r^2}\\\\v^2 = \frac{GM_{Sun}}{r}\ -------- eqn(1)\\\\[/tex]

where,

G = Gravitational  Constant = 6.67 x 10⁻¹¹ N.m²/kg²

[tex]M_{Sun}[/tex] = Mass of Sun = 1.99 x 10³⁰ kg

r = mean distance between the center of the Jupiter and the Sun = ?

v = linear speed of the Jupiter around the Sun = [tex]\frac{Circumference\ of Jupiter's\ Path}{Time\ Period\ of\ Revolution}[/tex]

[tex]v = \frac{2\pi r}{3.79\ x\ 10^8\ s}\\\\v^2 = \frac{4\pi^2 r^2}{14.36\ x\ 10^{16}\ s^2}[/tex]

Using the values in eqn (1), we get:

[tex]\frac{4\pi^2 r^2}{14.36\ x\ 10^{16}\ s^2} = \frac{(6.67\ x\ 10^{-11}\ N.m^2/kg^2)(1.99\ x\ 10^{30}\ kg)}{r}\\\\r^3 = \frac{(14.36\ x\ 10^{16}\ s^2)(6.67\ x\ 10^{-11}\ N.m^2/kg^2)(1.99\ x\ 10^{30}\ kg)}{4\pi^2}\\\\r = \sqrt[3]{4.83\ x\ 10^{35}\ m^3}[/tex]

r = 7.85 x 10¹¹ m

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The attached picture shows the relationship between the centripetal force and the gravitational force acting on a planet (Jupiter) revolving around the sun.

How fast (in rpm) must a centrifuge rotate if a particle 6.00 cm from the axis of rotation is to experience an acceleration of 113000 g's? if the answer has 4 digits or more, enter it without commas,
e.g. 13500?

Answers

The acceleration experienced by the particle is given by
[tex]a=113000 g=113000 \cdot 9.81 m/s^2[/tex]
This corresponds to the centripetal acceleration of the motion, which is related to the angular speed [tex]\omega[/tex] of the particle and its distance r from the axis by the relationship
[tex]a= \omega ^2 r [/tex]
In our problem, [tex]r=6 cm=0.06 m[/tex], so we can solve for [tex]\omega[/tex]:
[tex]\omega = \sqrt{ \frac{a}{r} } = \sqrt{ \frac{113000 \cdot 9.81 m/s^2}{0.06 m} }=4298 rad/s [/tex]
However, we must convert it into rpm (revolution per minute).
We know that 1 rad corresponds to [tex]( \frac{1}{2 \pi} )[/tex] revolutions, while [tex]1 s = \frac{1}{60} min[/tex]. So we the conversion is[tex]\omega = 4298 rad/s \cdot ( \frac{1}{2\pi} rev/rad )( 60 s/min)=41067 rpm[/tex]

Anna is conducting an experiment to determine how weather affects cell phone reception. She is trying to decide the best way to conduct her experiment in order to collect meaningful data. Which of the following experiments would help Anna collect the best data? A. Test different cell phones in different locations on days with clear weather. B. Test different cell phones in different locations on days with rainy weather. C. Test a cell phone's reception in one location with clear weather and in another location with rainy weather. D. Test a cell phone's reception in the exact same location under various atmospheric conditions.

Answers

Answer:

D. Test a cell phone's reception in the exact same location under various atmospheric conditions

Explanation:

Components of an experiment:

Independent variable:

A manipulated variable, in an experiment or study, whose presence or degree incurs a change in the  dependent variable.

Dependent variable:

A variable which is being studied in the experiment and is supposed to change with respect to the independent variable.

Control variable:

Control variable includes the variables which are of no concern in the experiment and must be constant so that they do not interfere with the results of the experiment. Change in control variable might affect the results of an experiment.

In Anna's experiment, the independent variable is the atmospheric conditions. The dependent variable is cell phone reception that will change according to the atmospheric conditions. All other things related to the experiment are control variables like cellphone, location of the cell phone. Both of these must stay constant to collect the best data.

Hence, the best option is D.

Answer:

D. Test a cell phone's reception in the exact same location under various atmospheric conditions

Explanation:

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