how does the distance between 2 objects and their masses affect the gravitational force between the 2 objects

Answer:

Mass

Object

Explanation:

Answer:

Mass is the amount of matter in an object and the mass of an object does not change location.

Solving Gaussian integration with polar coordinates involves converting the integral into polar coordinates, finding the mean and standard deviation of the function, substituting them into the Gaussian distribution formula, and integrating it over the range of the function in polar coordinates.

Gaussian integration with polar coordinates is the process of finding the integral of a function using polar coordinates and the Gaussian distribution. The polar coordinate system is a two-dimensional coordinate system that uses the radius and angle to locate a point in a plane. The Gaussian distribution is a probability distribution that is often used to describe random variables in statistics.
To solve the Gaussian integration with polar coordinates, we need to convert the integral into polar coordinates. The conversion is done using the following equations:
x = r cos(θ)
y = r sin(θ)
r² = x² + y²
θ = tan⁻¹(y/x)
Once the integral is converted into polar coordinates, we can use the Gaussian distribution to solve it. The Gaussian distribution is given by the following formula:
f(x) = (1/σ√(2π))e^(-(x-μ)²/2σ²)
where μ is the mean of the distribution and σ is the standard deviation. To use this formula, we need to first find the mean and standard deviation of the function we are integrating.
After finding the mean and standard deviation, we can substitute them into the Gaussian distribution formula and integrate it over the range of the function in polar coordinates. The result of the integration will be the value of the integral.
for such more questions on polar

https://brainly.com/question/30892780
#SPJ8

For a rectangular storage tank filled with paraffin to a depth of 2 m, the volume, weight, mass of paraffin, and pressure at the bottom of the tank are:

a. The volume is 24 m³.

b. weight is 240,000 N,

c. mass is 24,490 kg, and

d. pressure is 23,530 Pa.

a) The volume of paraffin in the rectangular storage tank can be calculated using the formula:

Volume = Length x Width x Depth

Given:

Length = 4 m

Width = 3 m

Depth = 2 m

Substituting the values into the formula, we have:

Volume = 4 m x 3 m x 2 m

Volume = 24 m³

Therefore, the volume of paraffin in the tank is 24 cubic meters.

b) The weight of the paraffin can be calculated using the formula:

Weight = Volume x Density x Acceleration due to gravity

The density of paraffin varies, but we can assume a typical value of 10,000 kg/m³. The acceleration due to gravity is approximately 9.8 m/s². Substituting these values into the formula:

Weight = 24 m³ x 10,000 kg/m³ x 9.8 m/s²

Weight = 240,000 N

Therefore, the weight of the paraffin in the tank is 240,000 Newtons.

c) The mass of the paraffin can be calculated using the formula:

Mass = Density x Volume

Substituting the given values:

Mass = 10,000 kg/m³ x 24 m³

Mass = 24,490 kg

Therefore, the mass of the paraffin in the tank is 24,490 kilograms.

d) The pressure at the bottom of the tank due to the paraffin can be calculated using the formula:

Pressure = Weight / Area

The area of the bottom of the tank is equal to the length multiplied by the width. Substituting the values:

Area = 4 m x 3 m

Area = 12 m²

Pressure = 240,000 N / 12 m²

Pressure = 20,000 Pa

Therefore, the pressure at the bottom of the tank due to the paraffin is 20,000 Pascals (Pa).

For more such information on; volume

https://brainly.com/question/14197390

#SPJ8

The mass of a substance is not directly related to latent heat. Instead, latent heat is a parameter that describes the amount of energy required or released during a phase shift of a substance.

Latent heat can be thought of as hidden energy that is supplied or extracted to change the state of a substance without changing its temperature or pressure.

Latent heat is energy released or absorbed, by a body or a thermodynamic system, during a constant-temperature process—typically a first-order phase transition.

Learn more about latent heat here:

https://brainly.com/question/10850467

#SPJ1

Answer:

83.33% of the roof area will be occupied by the PV cells

Explanation:

Given the data in the question;

time-averaged lighting requirement \(P_{lighting\) = 10 W/m²

the annual average solar irradiance \(q_{solar\) = 150 W/m²

the PV efficiency η\(_{pv\) = 10% = 0.1

battery charging/discharging efficiency η\(_{battery\) = 80% = 0.8

we know that; Annual average power to the light = \(P_{lighting\) × A\(_{roof\)

Now, the electrical power delivered by the solar cell battery system will be;

⇒  \(q_{solar\) × A\(_{pv\) × η\(_{pv\) × η\(_{battery\)

\(P_{lighting\)A\(_{roof\) = \(q_{solar\) × A\(_{pv\) × η\(_{pv\) × η\(_{battery\)

Such that;

A\(_{pv\) = \(P_{lighting\)A\(_{roof\) / \(q_{solar\) × A\(_{pv\) × η\(_{pv\) × η\(_{battery\)

A\(_{pv\) / A\(_{roof\) = \(P_{lighting\) /  \(q_{solar\) × η\(_{pv\) × η\(_{battery\)

so we substitute

A\(_{pv\) / A\(_{roof\) = 10 W/m² / [ 150 W/m² × 0.1 × 0.8 ]

A\(_{pv\) / A\(_{roof\) = 10 W/m² / 12 W/m²

A\(_{pv\) / A\(_{roof\) = 0.8333

A\(_{pv\) / A\(_{roof\) = (0.8333 × 100)%

A\(_{pv\) / A\(_{roof\) = 83.33%

Therefore, 83.33% of the roof area will be occupied by the PV cells.

Considering the Coulomb's Law, the magnitude of the charge on each particle is 4.2426 C.

Coulomb's law or law of electrostatics is the relationship between the interactions of electric charges, that is, it explains the force experienced by two electric charges at rest.

This law says that the electric force with which two point charges at rest attract or repel each other is directly proportional to the product of the magnitude of both charges and inversely proportional to the square of the distance that separates them, expressed mathematically as:

\(F=k\frac{Qq}{d^{2} }\)

where:

The force is attractive if the charges are of opposite sign and repulsive if they are of the same sign.

In this case, you know that:

Replacing in the Coulomb's Law:

\(1.8x10^{-8} N=9x10^{9} \frac{Nm^{2} }{C^{2} }\frac{Qq}{(0.3 m)^{2} }\)

Being Q=q:

\(1.8x10^{-8} N=9x10^{9} \frac{Nm^{2} }{C^{2} }\frac{q^{2} }{(0.3 m)^{2} }\)

Solving:

1.8×10⁻⁸ N÷ 9×10⁹ \(\frac{Nm^{2} }{C^{2} }\)= q²÷ (0.3 m)²

2×10⁻¹⁸ C²/m²= q²÷ (0.3 m)²

2×10⁻¹⁸ C²/m²= q²÷ 0.09 m²

2×10⁻¹⁸ C²/m² ×0.09 m²= q²

1.8×10⁻¹⁹ C²= q²

√1.8×10⁻¹⁹ C²= q

4.2426 C= q= Q

Finally, each charge has a value of 4.2426 C.

Learn more about Coulomb's Law:

brainly.com/question/26892767

#SPJ1

Answer:

  (a)  137 °F

  (b)  2.0 hr

Explanation:

Given a turkey is removed from the oven at 185 °F to a room temperature of 78 °F and cools to 150 °F after 30 minutes, you want to know the temperature after 45 minutes, and the time to cool to 100 °F.

The temperature described by Newton's Law of Cooling can be written as the equation ...

  T(t) = (initial temperature difference) × (cooling factor)^(t/(cooling period)) + (final temperature)

Here, the initial temperature difference is 185 -78 = 107 °F. The cooling factor is (150 -78)/(185 -78) = 72/107 in a period of 30 minutes.

Thus, we can write the temperature equation as ...

  T(t) = 107×(72/107)^(t/30) . . . . . . . where t is time in minutes

When t=45, the temperature is ...

  T(45) = 107×(72/107)^(45/30) +78 ≈ 137 . . . . . degrees F

After 45 minutes, the temperature is 137 °F.

When T = 100 °F, the time is ...

  100 = 107×(72/107)^(t/30) +78

  22/107 = (72/107)^(t/30)

  30×log(22/107)/log(72/107) = t ≈ 119.783 . . . . minutes

  t = 119.783/60 = 1.996 . . . . hours

The turkey cools to 100 °F after 2.0 hours.

Answer:

In explanation

Explanation:

Toughest animal existing now would be like a bear more specifically a grizzly bear. I say this because when your near this animals and your messing with it or it's cubs your more than likely dead you climb up a tree,did you forget they can climb to,when running a grizzly bear can get up to a max speed of 35 MPH, Now the grizzly bear isn't the most aggressive but is still one of the rulers of bears along with it's relative the polar bear,but when you are talking about pain they can't take pain shoot them it takes more than 1 show better have a machine gun or be able to run fast a knife isn't going to do a lot in less you get it in it's eye. Now for a grizzly bear you can play dead and he will fall for it or she but all you need to know is don't mess with it.

Another one of the toughest animal is a komodo dragon.

When were talking about a komodo dragon there like a human they way up to 170 LBS to 200 LBS they have a length of 8 foot and a half. Now komodo dragons are very friendly and can be a family pet but if that thing bites you,you will be dead within hours in less treated amindentally. The komodo dragon can kill water buffalos, and the komodo dragon has no predators. The komodo dragon is the biggest lizard in the world and is poisonous so that is a reason to not get around with, one time a komodo dragon killed an eight year old boy so not really friendly.

is there anymore things you want my opinion on on actually the real deal.

would you like to know most aggressive,

most dangerous,

most poisonous,

The most feared

the most loving

The biggest animal in the world

The most friendly or other just let me know:)

Hope it helps have a great afternoon:)

Answer:

 F = m a,  a = 0.3 m / s²

this acceleration points in the direction of the unbalanced force

Explanation:

In this problem we must use Newton's second law. Let's fix a reference system with the x axis parallel to the surface and the y axis perpendicular

Y axis y

         N-W = 0

         N = W = mg

X axis

        ∑ F = m a

        F = m a

we substitute

        150 = m a

To find an acceleration value, the mass of the car must be known, if the mass is m = 500 kg

        a = 150/500

        a = 0.3 m / s²

this acceleration points in the direction of the unbalanced force

When the bus is fully loaded, the center of gravity rises to 1.73 m, and the critical angles are 35.3 degrees for the unloaded bus and 30.6 degrees for the loaded bus, respectively.

Theoretically, the body's total weight is concentrated at a location called the center of gravity.

The main distinction between the centers of mass and gravity is that the center of gravity refers to the location where the total weight of the body is balanced, whereas the center of mass refers to the location where the body's complete mass is directed.

To learn more about gravity visit:

brainly.com/question/4014727

#SPJ4

The linear equation f(x) for the function is found as :

f(x) = -57x  + 16.5.

For the stated question:

f(0.1) = 10.5, and f(0.4) = −6.6

Slope m = (-6.6 - 10.5) / (0.4 - 0.1)

m = -57

The standard equation is:

10.5  = -57(0.1) + c

c = 16.5

linear equation f(x):

f(x) = -57x  + 16.5

Thus, the linear equation f(x) for the function is found as :

f(x) = -57x  + 16.5.

To know more about the Linear Functions, here

https://brainly.com/question/2030026

#SPJ1

Answer:

D

Explanation:

5+25=30

Answer:250-200l Water

Explanation:

Answer:

The water cycle shows the continuous movement of water within the Earth and atmosphere. ... Liquid water evaporates into water vapor, condenses to form clouds, and precipitates back to earth in the form of rain and snow. Water in different phases moves through the atmosphere (transportation).

Explanation:

It's the water cycle.

Answer:

Explanation:

To find the net electric flux through a closed surface, we need to apply Gauss's law:

Phi_E = Q_enclosed / epsilon_0

where Phi_E is the electric flux, Q_enclosed is the net charge enclosed by the closed surface, and epsilon_0 is the electric constant.

Let's consider a spherical closed surface of radius R enclosing the charges. We can divide the surface into two regions: inside and outside the sphere.

For the charges inside the sphere, the net charge enclosed is:

Q_enclosed = +1.00 nC - 3.00 nC = -2.00 nC

Therefore, the electric flux through the inner surface of the sphere is:

Phi_E_inside = Q_enclosed / epsilon_0 = (-2.00 nC) / epsilon_0

For the charge outside the sphere, the net charge enclosed is:

Q_enclosed = +2.00 nC

Therefore, the electric flux through the outer surface of the sphere is:

Phi_E_outside = Q_enclosed / epsilon_0 = (2.00 nC) / epsilon_0

The net electric flux through the closed surface is the sum of the electric flux through the inner and outer surfaces:

Phi_E_net = Phi_E_inside + Phi_E_outside = (-2.00 nC) / epsilon_0 + (2.00 nC) / epsilon_0

= 0

Therefore, the net electric flux through the closed surface is zero. This means that the total amount of electric field lines entering the surface is equal to the total amount of electric field lines leaving the surface. This result is consistent with Gauss's law, which states that the net electric flux through a closed surface is proportional to the net charge enclosed by the surface. In this case, since the net charge enclosed is zero, the net electric flux is also zero.

Answer:

32186880 metres

 AreaData Transfer RateDigital StorageEnergyFrequencyFuel EconomyLengthMassPlane AnglePressureSpeedTemperatureTimeVolume 

  kilometreMeterCentimeterMillimetremicrometresNanometreMileYardFootInchNautical mile 

  kilometreMeterCentimeterMillimetremicrometresNanometreMileYardFootInchNautical mile 

Formula

for an approximate result, multiply the length value by 1609

More info

Feedback

Answer: 32186880 Meters.

I really hope this helps, don't know if you needed an Explanation.

The electron number cannot be used instead because electrons can be removed from or added to an atom (option C)

The element of an atom is determined by its proton count, while the electron count can exhibit variability. Take, for instance, a sodium atom, which encompasses 11 protons and 11 electrons. However, it has the capacity to relinquish one electron, transforming into a sodium ion housing only 10 electrons.

This occurs due to the relatively loose binding of electrons to the nucleus, enabling their removal through the influence of an electric field or alternative mechanisms.

Learn about electron here https://brainly.com/question/13998346

#SPJ1

Here is a draft of the worksheet for the three main plate boundary types:

Plate Boundary (Movement)      Convergent (Colliding)

Diagram

        ||

        ||

        ||

Lithosphere (Created or Destroyed)  

       Created

Geologic Process      Mountain building

Real World Example

        Himalayas (Along India-Eurasia plate boundary in Asia)

References        

APA reference for research      

Plate Boundary (Movement)        Divergent (Separating)

Diagram

          |||||

Lithosphere (Created or Destroyed)      

        Destroyed  

Geologic Process        

         Volcanic eruptions and rift valleys

Real World Example  

        Mid-Atlantic Ridge (Between North America and Europe plates)

References        

         APA reference          

Plate Boundary (Movement)     Transform (Sliding)

Diagram

          |||||||||

Lithosphere (Created or Destroyed)  

       Neither          

Geologic Process  

       Earthquakes

Real World Example        

         San Andreas Fault (California, USA along Pacific-North America plates)

References

          APA reference

I’m assuming you meant latitude:

The angular distance north or south of the earth's equator, measured in degrees along a meridian, as on a map or globe.

a region based on its distance to the equator uses latitude measurements

basically: up and down , north to south from a certain point

The power rating of the heater is 277.8 W and the current drawn from the supply is 0.07015mA.

The power is obtained from the ratio of work and time and the power is measured in watts(W). The current is defined as the flow of electrons in the circuit and it is measured in ampere(A).

From the given,

The energy of the electric heater = 0.5MJ = 0.5×10⁶ J

Voltage (V) = 220 V

time (t) = 30 minutes = 30×60 s = 1800 s.

To find power (P):

Power = Energy / Time

          = 0.5×10⁶ / 1800

          = 277.77 W

Power of the electric heater = 277.8 W

To find current from the given:

Power (P) = V×I×t

Current (I) = P/(V×t)

                = 277.8 / (220×1800)

               = 0.7015 mA

The current drawn from the supply is 0.7015 mA.

Hence, the power rating of the heater is 277.8 W and the current drawn from the supply is 0.7015 mA.

To learn more about power and current :

https://brainly.com/question/9338858

#SPJ1

Answer: 5-15MPH

Explanation: Trust me

According to the information, the rms speed of the gas will remain unchanged.

The rms (root-mean-square) speed of a gas is directly proportional to the square root of its temperature. In this scenario, the temperature is constant, which means that the rms speed of the gas will also remain constant.

The change in volume does not have a direct effect on the rms speed of the gas, as long as the temperature remains unchanged. Therefore, the rms speed of the gas in the vessel will not change.

Learn more about temperature in: https://brainly.com/question/7510619

#SPJ1

Answer:

Force/Area in fact Pascal is defined as Newton/m^2

Answer:

250 mL

Explanation:

Density equation:

\(Density = \frac{mass}{volume}\)

Variables:

D = density

m = mass

V = volume

Solve:

M = 125 g

D = 0.500 g/mL

V = ?

\(0.500 g/mL = \frac{125 g}{V}\)

V = 250 mL

The potential energy of the roller coaster is 176,400 J (joules).

The potential energy of an object is given by the formula PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height or vertical position of the object.

In this case, the roller coaster is at a peak of 20m and has a mass of 900kg. The acceleration due to gravity, g, is approximately 9.8 \(m/s^2\).

Using the formula, we can calculate the potential energy:

PE = mgh

= (900 kg)(9.8 \(m/s^2\))(20 m)

= 176,400 J

Therefore, the potential energy of the roller coaster is 176,400 J (joules).

Know more about  potential energy    here:

https://brainly.com/question/21175118

#SPJ8

We know that all fundamental forces have a fundamental charge and that each of them is responsible for some fundamental phenomenon. In the case of the gravitational force, we know that it is responsible of all gravitational interactions and that its magnitude is proportional to the mass.

Therefore, gravitational force increases with the mass of an object and the answer is B.