PLS HELP ON A DEADLINE A moon orbits a planet as shown above.

The moon has a mass 0.66 x 1022 kg and the gravitational field strength at distance R is 0.0012 N/kg. What is the magnitude of the gravitational force exerted by the planet onto the moon while it is in orbit of radius R?
Type your answer in scientific notation with two decimal places. Example: 1.23*10^4

The force required to stop a car of 1100 kg which is moving at a speed of 2.2 m/s is 13310 N.

A force in physics is an input that has the power to change an object's motion. A mass-containing object's velocity can vary, or accelerate, as a result of a force.

Intuitively, a push or a pull can also be used to describe forces. Being such a vector quantity, a force does have magnitude and direction. The SI unit metric newton is used to measure it (N). The letter F stands for force.

As per the given information in the question,

Mass of the car, m = 1100 kg

Distance, s = 0.20 m

Final velocity, v = 2.2 m/s.

Use the equation of motion,

v² - u² = 2as

2.2² - 0² = 2a (0.20)

4.84 = 0.4a

a = 12.2 m/s²

F = ma

F = 1100 × 12.2

F = 13310 N

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Answer: It is b.

Explanation:

Answer:

Factors Affecting Friction

Friction is dependent on the smoothness or roughness of the two surfaces that are in contact with each other. When the surface is smooth, the friction between the two reduces as there is not much interlocking of irregularities. While the surface is rough, friction increases.

Explanation:

Is the force applied by the string cable of accelerating the box up the incline. The molecular weight of water is 18 g/mol and the latent heat of vaporization is 2260 J/g.  

Let's state the parameters given.

Given that:

mass (m) = 117 gram

specific latent heat of vaporization (L) = 2260 J/g

Pressure (P) = 1 atm or 101325 Pa

Temperature (T) = 373.15 K

molecular weight = 18 g/mol

i.e we are to find the heat energy which is denoted by Q = mL

Q = 117g × 2260 J/g

= 264420 J

= 264.42 KJ

and the water vapor takes up some final volume

If we assume that the vapor is an ideal gas.

We can represent the parameters using the equation of an ideal gas:

PV=nRT

where;

P =  1 atm or 101325 Pa

n = no of moles of the water

n = mass/molecular weight

 = 117/18

= 6.5 mole

R = 8.314

T = 373.15

= 0.199 m³

At Constant Pressure, the work done  by the vapour in pushing on the piston can be calculated as:

W =(ΔV)

= 101.325 × (0.199 - 0)

= 101.325 × 0.199

= 20.16KJ

Let ΔU = water internal energy change

Q = Heat Energy

W = work done  by the vapour in pushing on the piston

Q = ΔU + W

ΔU = - Q + W   (by multiplying the left hand side with minus (-))

ΔU = Q - W

ΔU = 264.42 - 20.16

ΔU = 244.26KJ

Therefore, Is the force applied by the string cable of accelerating the box up the incline. The molecular weight of water is 18 g/mol and the latent heat of vaporization is 2260 J/g.  

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The moment of inertia of the flat square is MA²/6

The moment of inertia of a body is a property of the body which shows its ability to ritate about an axis.

To find the moment of inertia of the flat square through its center of mass, we know that the moment of  inertia of  a rectangular slab is given by

I = M(a² + b²)/12 where

Now, for a flat square a = b. so,its moment of inertia is I = M(a² + b²)/12

I = M(a² + a²)/12

= 2Ma²/12

= Ma²/6

Now for the given flat square, we have that

So, substituting these into the equation of moment of inertia for the flat square, we have that

The moment of inertia of the flat square is given by

I = Ma²/6

I = MA²/6

So, moment of inertia is MA²/6

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Answer: During the investigation of a house We notice the v shaped smoke pattern that points to the downstairs living room just left of the front door.

What is Fire?

--fire is a type of oxidation, which is the combination of oxygen with other substances to produce new substances.

--To start fire, the minimum temperature needed to spontaneously ignite fuel, known as ignition temperature, must be reached.

likely be the lowest point showing the most intense characteristics of burning.

Fire Clues:

Point of Origin -Burn patterns and other damage can help determine the point of origin, or the location where the fire started.

Char Patterns -

Created by very hot fires that burn very quickly and move fast along its path, so that there can be sharp lines between what is burned and what isn't.

A char pattern on a door would help an investigator determine which side of the door the fire was on.

A char pattern on the floor would help investigators determine the use of an accelerant and its path.

V-Patterns -

Fire burns up, in a V-shaped pattern, so a fire that starts at an outlet against a wall leaves a char pattern that points to the origin.

A very narrow V-shape might indicate a fire that was hotter than normal, such as one helped along by an accelerant.

A wide V-shape might indicate a fire that was slow burning.

A U-shape could indicate that there was a "pool of origin" rather than a point of origin.

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Answer:

1000

Explanation:

25x40=1000

Answer:

If you drive west at 40 miles per hour for 25 hours, you would travel 1000 miles.

Explanation:

This is determined by multiplying the speed you are traveling (40 miles per hour) by the amount of time you are traveling (25 hours), which gives you 1000 miles. It's important to note that this is only an estimate, as various factors such as traffic and road conditions can affect your actual travel distance. Additionally, driving for extended periods of time can be dangerous, so it's important to take regular breaks and make sure you're well rested before getting behind the wheel.

Answer: 27

Explanation:

The mass of the Earth is approximately

6.02 × 10^24

Solution:

First Converting 27.32 days to seconds

Answer:

increase

Explanation:

The potential energy of the object at a certain height converts to kinetic energy as the object falls.  Objects in free fall are accelerating, so the velocity is increasing every second that the object is falling.  KE = 1/2mv², so the greater the v, the greater the KE.

With a 9.0 voltage battery connected with two resistors, one is 10 ohms and the other resistor is at 20 ohms the voltage drop across the battery 1 volt. Thus, option A is correct.

Given data

voltage supplied Vs= 1.5 volts

resistance R1= 1000 ohms

resistance R2= 500 ohms

The total resistance is

Rt= 1000+ 500

Rt= 1500 ohms

In series connection the current is the same for all components while the voltage divides across all components,the voltages consumed by each individual resistance is equal to the source voltage.

Therefore, With a 9.0 voltage battery connected with two resistors, one is 10 ohms and the other resistor is at 20 ohms the voltage drop across the battery 1 volt. Thus, option A is correct.

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Absolute Refractive Index = Speed of light in vacuum / speed of light in medium.

Absolute refractive index is the ratio of the speed of light in a vacuum to the speed of light in a given material. It is an important physical property of a material, and is used to calculate the refractive index of a medium relative to a vacuum.

As the temperature rises, the speed of light increases because the optical density of the light is decreasing. The refractive index varies simultaneously for incident light of different wavelengths.

Refractive index can be written as n = λv / λm , where λv is the wavelength in vacuum and λm is the wavelength of the medium.

The density and temperature of a material affect its absolute refractive index. The wavelength of the incident light also plays a role.

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Based on the given graph of the car’s velocity over time, the car’s acceleration between 6 and 7 seconds is 0 m/s².

The acceleration of a body is defined as the rate of change of velocity of a body with time.

Mathematically, the acceleration of a body is given below as follows:

Acceleration = change in velocity / change time

The change in the velocity of a body is given as follows:

Change in the velocity = Final velocity  - initial velocity

A velocity-time graph is a graph that plots the velocity of a body against the time taken by the body to move. The slope of a velocity-time graph gives the acceleration of the body.

The acceleration of the car is calculated from  the given velocity-time graph as follows:

Acceleration = (60 - 50) m/s / (7 - 6) s

Acceleration = 10 m/s²

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The time would it take to travel from Los Angeles to New York 2.75 * 10^-3 s

We call the velocity that is required for an object to escape the gravitational pull of the earth the escape velocity of the satellite. When a satellite has this velocity, the satellite is now able to freely escape from the earth and is now able to get into the outer space.

On the other hand, we would also have to remember the formula for the speed off an object. We have to remind ourselves that speed is a scalar quantity and this implies that the direction of the speed is not important when we are discussing the speed of a body.

Thus, we know that;

Speed =  distance/time

time = distance/speed

time = 11 km/s/ 4000 km

time = 2.75 * 10^-3 s

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An ideal voltage source model with the turn-on voltage of vf is 7.7 66.

What is voltage?

Voltage is the pressure from the power source of an electrical circuit that drives charged electrons (current) through a conducting loop, allowing them to perform tasks like lighting a lamp. Briefly stated, voltage equals pressure and is measured in volts (V).

What is circuit ?

A circuit is a closed circuit in which electrons can move. Electrical energy for the circuit comes from a source of electricity, like a battery. No electrons will move unless the circuit is complete, that is, it makes a complete circuit around the electrical source.

Both diodes are forward based, replacing diode with voltage drop.

Apply KVL to loop

12v= i₁ e₁+0.7+ i₂ e₂ + 0.7

12v = 1.4 + i₁ (R₁+R₂)

10.6 = i₁ (R₁+R₂)

i₁ = 10.6/(R₁+R₂)

10.6/150 = 70.6 mA

V₀= i₁ R₂ + 0.7 =  70.6 mA* 100+ 0.7 = 7.7 66

Therefore, an ideal voltage source model with the turn-on voltage of vf is 7.7 66.

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As per lenz's law, a current induced in such a way that it opposes the change in flux through loop.

A wire is a flexible strand of metal. The wire is commonly formed by drawing the metal through a hole in a die or draw plate. Wire gauges come in various standard sizes, as expressed in terms of gauge number. Wires are used to bear mechanical loads, often in the form of wire rope.

As per lenz's law, a current induced in such a way that it opposes the change in flux through loop.

Following are the directions of flow of current for each diagram -

a) Clock -wise

b) counter - clockwise

c) No flux change so, Induced Current = 0

d) counter - clock wise

e) clockwise

f) No current

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Complete Question is in the adjoining image -

The period of oscillation is 4.44 s

The period of oscillation is the time it takes the spring to complete one cycle of motion.

Using the law of conservation of energy, the total mechanical energy at the origin (x = 0) equals the total mechanical energy at maximum displacement (x = A).

Since

So, U₁ + K₁ = U₂ + K₂ where

So, substituting the values of the variables into the equation, we have

U₁ + K₁ = U₂ + K₂

0  + 2m(π/T)²A² = kA⁴ + 0

2m(π/T)²A² = kA⁴

2m(π/T)² = kA²

Making T subject of the formula, we have

T² = 2mπ²/kA²

T = π/A√(2m/k)

Since m = k = A = 1, we have that the period of oscillation is

T = π/A√(2m/k)

T = π/1√(2 × 1/1)

T = π√2

T = 1.4142π

T = 4.443 s

T ≅ 4.44 s

So, the period is 4.44 s

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The acceleration of the car moving with a velocity of 23 m/s is 25.13 m/s².

Acceleration is the rate of change of velocity.

To calculate the acceleration of the car, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the acceleration of the car is 25.13 m/s².

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According to the Quantum numbers, The energy of an electron in an isolated atom depends on b. n only.

Only specific integral or half-integral values can be assigned to the number that appears in the theoretical formulation for the value of a particular quantized feature of a subatomic particle, atom, or molecule.

The proportional total energy of each orbital is represented by the quantum number n, also referred to as the primary quantum number.

In an isolated atom, each electron in a subshell has exactly the same amount of energy. Electron shells are groups of orbitals with the same n value.

The Schrödinger wave equation's solution yields the primary quantum number, which describes the energy in eigenstates. In the instance of a hydrogen atom, this yields:

En= -(13.6/n^2)eV

Thus for each value of n, we can describe the orbital and the energy corresponding to each electron on such orbital.

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The average highest height of a professional football kick is 189.728 m if the hang time is 4.4 seconds on average.

A person or an object's total duration in the air after leaving the ground is known as their "hang time." From the time anything leaves the ground until it returns, it is measured.

We know,

y= gt²

Here,

y = Average maximum height

g = acceleration due to gravity

t = Average hang time

Given,

Average hang time (t) = 4.4s

Acceleration due to gravity (g) = 9.8 m/s² (assuming)

Inserting these values in the given equation,

y = gt²

  = 9.8×4.4×4.4

  = 189.728 m.

Hence, the average maximum height of the football is 189.728 m.

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Answer:

100 Miles

Explanation:

If...

40 miles x 2.5 is 100

Then...

It travels 100 miles in 2.5 hours!

Hope this helps! :)

The tangential speed of the moon as it leaves the orbit of the earth to the nearest whole number is 9 * 10^7 m/s.

We know that the tangential velocity has to do with the velocity of the moon when it leaves the circular orbit of the earth. For this we have to call to mind some of the basics of the circular motion. We have to use the formula that says;

V = 2πr/T

We now have to define each and every one of the terms that we have in the equation so that we can be able to apply them to be able to solve the problem meaningfully and we have;

V = velocity

r = Distance covered

T = Period

Where we have from the question;

V = ?

r = 3.84 x 10^8 m

T =  27 days

V = 2 * 3.142 * 3.84 x 10^8/27

V = 8.9 * 10^7 m/s

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It is utilized to link the grounded conductor of the derived system to the grounding electrode as outlined in 250.30(A) (4).

What is ground conductor ?

One who intentionally connects a wire or conductor to the earth is said to be a grounding conductor. The term "ground conductor" or "case ground" are terms used to describe the grounding conductor. The ground wire is typically attached to an appliance, tool, or case that is part of the electrical box or its exterior.

What is  grounding electrode ?

A conductive object known as a grounding electrode creates a direct connection to the earth or ground. A grounding electrode must make direct contact with the ground; this is crucial. Although there are many conductive items in a structure, not all of them directly link to ground.

A grounding electrode conductor must be sized in line with 250.66 for the derived ungrounded conductors for each individually deriving system. It is utilized to link the grounded conductor of the derived system to the grounding electrode as outlined in 250.30(A) (4).

Therefore, it is utilized to link the grounded conductor of the derived system to the grounding electrode as outlined in 250.30(A) (4).

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The intensity of the waves from the antena was found to be 2.0x10^-6 w/m^2

defiine antena ?

A metallic structure that collects and/or transmits radio electromagnetic waves is known as an antenna. Antennas come in different forms and sizes, from little ones for watching TV on your roof to massive ones that catch signals from satellites millions of kilometres away.

Space Communications and Navigation (SCaN) employs parabolic antennas, which are unique bowl-shaped antennas that concentrate signals at a single point. The antennas' bowl shape allows them to capture and transmit electromagnetic radiation. In order to catch and transmit the signal, these antennas move horizontally (measured in hour angle/declination) and vertically (measured in azimuth/elevation).

SCaN contains more than 65 antennas that assist gather and send data to and from space satellites.

I=P/4πr^2

i=25000/4π(30000)^2

≈2.0x10^-6 w/m^2

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The abnormalities in the genetic code must be found and corrected on time as it could lead to inherited disorders which could be life-threatening.

Genetic abnormalities are the conditions which are caused by changes to the genes or chromosomes. Genetic disorders are also known as inherited disorders which are caused by mutations in the genetic code. Genetic disorders include disorders such as cystic fibrosis, sickle cell disease, and Tay-Sachs disease.

Cells become diseased because certain genes work incorrectly or does not work at all. Replacing the defective genes in the diseased organisms may help treat certain diseases. For instance, a gene called p53 prevents tumor growth. Several types of cancer which have been linked to problems with the p53 gene.

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In the drake equation, a value of flife that is close to one and a value of fciv that is close to zero would imply primitive life is common but intelligent life is rare.

The Drake equation has been criticized, but not for the equation itself, rather for the fact that many of its estimated values are highly speculative, with the cumulative multiplicative effect being that the uncertainty associated with any derived value is so great that the equation cannot be used to make conclusive judgments.

The Drake equation is a probabilistic method for calculating the number of extraterrestrial civilizations in the Milky Way Galaxy that are currently active and capable of communication.

Frank Drake created the equation in 1961, not to count the number of civilizations but rather to encourage discussion among scientists at the inaugural conference on the hunt for extraterrestrial intelligence (SETI). The equation encapsulates the key ideas that researchers must take into account while debating the possibility of other radio-communicative life. It is better to think of it as an estimation rather than a sincere endeavor to come up with a specific number.

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Answer:

Biology, Geology, Geography, chemistry, etc.

Explanation:

The force between the charges is 9.25 × 10^3 N.

What is Coulomb's Law?

Coulomb's law states that the force of attraction or repulsion between two charged bodies is inversely proportional to the square of the distance between them and directly proportional to the product of their charges.

That is , F=K (q1 q2)÷ r²

In this problem,

q1 = 3x10^-5 C

q2= 9x10^-5 C

r =  0.05 m

Substituting ,

F = (9×10^9 × 3x10^-5 × 9x10^-5 )÷( 0.05)²

=  9.25 × 10^3 N

Therefore the force between the charges is 9.25 × 10^3 N

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The mass of fuel in an airplane must be determined before takeoff is 15.5 * 10³ kg.

What is mass?

Inertia, a fundamental characteristic of all matter, is measured quantitatively. . The change caused by an applied force is proportional to the mass of the body.

What is fuel?

Any substance that can be manufactured to react with other compounds in order to release energy as thermal energy or for use in work is a fuel.

Volume of fuel = 19917 litre

since 1 litre = 1000cm³

so, 1991700 cm³

density of fuel = 0.778g/cm³

density = mass/volume

mass= density* volume

= 0.778g/cm³* 1991700 cm³

= 15495426g

= 15495426g/ 1000 *1000 g

= 15495426g/ 1000  kg

=  15495. 426 kg

= 15495. 426 *10³ kg

= 15.5 * 10³ kg.

Therefore, the mass of fuel in an airplane must be determined before takeoff is 15.5 * 10³ kg.

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Based on the given question, A has highest angular speed, B and C has highest linear speed and B has highest moment of Inertia.

What are spheres?

A sphere is a geometrical object that is a three-dimensional analog to a two-dimensional circle. A sphere is a set of points that are all at the same distance r from a given point in three-dimensional space. That given point is the center of the sphere, and r is the sphere's radius.

From the given question,

[tex]m_{A} = M\\ m_{B} = 2M\\m_{C} = M\\R_{A} = M\\R_{B} = 2R\\R_{C} = 2R\\\\[/tex]

a) The acceleration of a body along an inclined for rolling without slipping is given by -

[tex]a = \frac{ g sin \theta}{1 + \frac{I}{mR^{2} } }[/tex]

For Spheres, I = 2/5 mR²

[tex]a_{A} = \frac{ g sin \theta}{1 + \frac{2}{5}mR^{2} } } =\frac{5g sin \theta}{7}[/tex]

[tex]a_{B} = \frac{g sin \theta}{1 + \frac{\frac{2}{5}(2m)(2R^{2} ) }{(2m)(2R^{2} )} } = \frac{5g sin \theta}{7}[/tex]

[tex]a_{C} = \frac{g sin \theta}{1 + \frac{\frac{2}{5}(m)(2R^{2} ) }{(m)(2R^{2} )} } = \frac{5g sin \theta}{7}[/tex]

Since all three above values are same so they reach at same time.

b) Let the linear speed be V

We have angular speed ω  = V/R

ωA = V/R, ωB = V/2R, ωC = V/2R

A has highest angular speed

c) Let the angular speed be ω

VA =  ωR,

VB =  ω(2R)

VC =  ω(2R)

B and C has highest linear speed

D) Moment of Inertia for solid sphere = I = 2/5 mR²

⇒ IA = 2/5 mR²

IB = 2/5 (2m)(2R)² = 16/5 mR²

Ic = 2/5 (m)(2R)² = 8/5 mR²

B has highest moment of Inertia

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The magnitude of velocity A is 3.06 m/s and the magnitude of velocity B is 3.5 m/s.

The magnitude of velocity  A and B in the given figure is determined by applying parallelogram law of vector addition.

Vr² = Va² + Vb²  - 2(Va)(Vb) cosθ

where;

The angle between the two velocities is calculated as follows;

θ = 180 - (23⁰ + 26.5⁰)

θ = 130.5⁰

Apply sine rule and determine the values of each of the velocities.

Va / sin(23) = V(tot) / sin(130.5)

Va / sin(23) = 5.96 / sin(130.5)

Va = 5.96 (sin 23 / sin 130.5)

Va = 3.06 m/s

Vb / sin(26.5) = V(tot) / sin(130.5)

Vb = 5.96 (sin 26.5 / sin 130.5)

Vb = 3.5 m/s

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