You have a fish tank with a square 10 x 10 cm bottom surface. You fill it 9 cm deep with water. What is the force in N on the bottom plate of the tank due to the water (neglect atmospheric pressure)

Answers

Answer 1

Answer:

F = 8.82 N

the force in N on the bottom plate of the tank due to the water is 8.82 N

Explanation:

Force F = mass × acceleration

F = ma

In the case of weight;

F = mg .......1

Where;

m = mass

g = acceleration due to gravity

a = acceleration

Mass m = density × volume

m = dV ......2

Volume = cross sectional area × height

V = Ah ........3

Substituting equation 3 to 2;

m = dAh .....4

Substituting equation 4 to 1;

F = dAhg ........5

Given;

d = 1000 kg/m^3

A = 10cm × 10cm = 100cm^2 = 0.01 m^2

h = 9 cm = 0.09 m

g = 9.8 m/s^2

Substituting the given values into equation 5;

F = 1000×0.01×0.09×9.8 N

F = 8.82 N

the force in N on the bottom plate of the tank due to the water is 8.82 N


Related Questions

why do spheres move apart after contact​

Answers

Answer:

Explanation:

When spheres or objects come into contact and then move apart, it is typically due to the presence of an external force or energy imparted to the system. There are a few possible reasons for spheres to move apart after contact:

Elasticity: If the spheres are made of elastic materials, such as rubber or certain metals, they can deform upon contact and then regain their original shape when the external force is removed. This elasticity causes the spheres to move apart.

Repulsive forces: If the spheres have like charges or magnetic properties, they can experience repulsive forces when brought close together. These repulsive forces push the spheres apart once the external force is no longer present.

Conservation of momentum: If the spheres are initially at rest and then pushed together with an external force, the conservation of momentum requires them to move apart after the force is removed. This is due to Newton's third law of motion, which states that for every action, there is an equal and opposite reaction.

Overall, the specific reason for spheres moving apart after contact depends on the properties of the spheres and the nature of the external force or energy involved.

Please answer it thank you

Please answer it thank you

Answers

Answer:

Sound is the correct answer

Please answer it thank you

A cylindrical container with a cross-sectional area of 66.2 cm2 holds a fluid of density 856 kg/m3 . At the bottom of the container the pressure is 119 kPa . Assume Pat = 101 kPa

A) What is the depth of the fuild?

B) Find the pressure at the bottom of the container after an additional 2.35×10−3 m3 of this fluid is added to the container. Assume that no fluid spills out of the container.

Answers

Answer:

A. h = 2.15 m

B. Pb' = 122 KPa

Explanation:

The computation is shown below:

a)  Let us assume the depth be h

As we know that

\(Pb - Pat = d \times g \times h \\\\ ( 119 - 101) \times 10^3 = 856 \times 9.8 \times h\)

After solving this,  

h = 2.15 m

Therefore the depth of the fluid is 2.15 m

b)

Given that  

height of the extra fluid is

\(h' = \frac{2.35 \times 10^{-3}}{ area} \\\\ h' = \frac{2.35 \times 10^{-3}} { 66.2 \times 10^{-4}}\)

h' = 0.355 m

Now let us assume the pressure at the bottom is Pb'

so, the equation would be

\(Pb' - Pat = d \times g \times (h + h')\\\\Pb' = 856 \times 9.8 \times ( 2.15 + 0.355) + 101000\)

Pb' = 122 KPa

(A)  The depth of the fluid is 2.14 m.

(B)  The new pressure at the bottom of container is 121972 Pa.

Given data:

The cross-sectional area of the container is, \(A =66.2 \;\rm cm^{2}=66.2 \times 10^{-4} \;\rm m^{2}\).

The density of fluid is, \(\rho = 856 \;\rm kg/m^{3}\).

The container pressure at bottom is, \(P=119 \;\rm kPa=119 \times 10^{3} \;\rm Pa\).

The atmospheric pressure is, \(P_{at}=101 \;\rm kPa=101 \times 10^{3}\;\rm Pa\).

(A)

The given problem is based on the net pressure on the container, which is equal to the difference between the pressure at the bottom and the atmospheric pressure. Then the expression is,

\(P_{net} = P-P_{at}\\\\\rho \times g \times h= P-P_{at}\)

Here, h is the depth of fluid.

Solving as,

\(856\times 9.8 \times h= (119-101) \times 10^{3}\\\\h=\dfrac{ (119-101) \times 10^{3}}{856\times 9.8}\\\\h= 2.14 \;\rm m\)

Thus, the depth of the fluid is 2.14 m.

(B)

For an additional volume of \(2.35 \times 10^{-3} \;\rm m^{3}\) to the liquid, the new depth is,

\(V=A \times h'\\\\h'=\dfrac{2.35 \times 10^{-3}}{66.2 \times 10^{-4}}\\\\h'=0.36 \;\rm m\)

Now, calculate the new pressure at the bottom of the container as,

\(P'-P_{at}= \rho \times g \times (h+h')\\\\\P'-(101 \times 10^{3})= 856 \times 9.8 \times (2.14+0.36)\\\\P'=121972 \;\rm Pa\)

Thus, we can conclude that the new pressure at the bottom of container is 121972 Pa.

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Please help with these MCQs.

1. Filter absorbs __________________.
- only primary coloured lights
- only secondary coloured lights
- only tertiary coloured lights
- all colors of white light

2. The light that has passed through a filter, is always ______________.
- dim
- bright
- sharp
- blur

Answers

1. Filter absorbs all colors of white light.

2. The light that has passed through a filter, is always dim.

Which colors are being absorbed by the filter?

The filter selectively transmits the red and blue portions of the incident white light spectrum, but absorbs most of the green wavelength.

Color filters absorb certain wavelengths of color and transmit the other wavelengths allowing them to be seen.

Therefore in conclusion, the right filter can reduce glare, increase contrast, and make lunar features pop.

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In an arcade game a 0.097 kg disk is shot
across a frictionless horizontal surface by compressing it against a spring and releasing it.
If the spring has a spring constant of
166 N/m and is compressed from its equilibrium position by 5 cm, find the speed with
which the disk slides across the surface.

Answers

Answer:

Explanation:

Mass of disk = 0.14 kgSpring constant = 155 N/mLength = 4 cmWe need to calculate the speed Using energy conservationWhere, k = spring constantx = compressed lengthm = mass of the discPut the value into the formulaHence, The speed with which the disk slides across the surface is 1.33095 m/s.

Which is a characteristic of a federal state?what are two purposes of government

Answers

Answer:

In the US, federalism is the political process in which power is shared between different levels of government. At the national level is the federal government, which shares power with provincial or regional governments. Within these substates, power is also shared with local governments.

A government's basic functions are providing leadership, maintaining order, providing public services, providing national security, providing economic security, and providing economic assistance.

You push a 20.0-kg crate at constant velocity up a ramp inclined at an angle of =31.0∘ to the horizontal. The coefficient of kinetic friction between the ramp and the crate, k, is equal to 0.200. How much work must you do to push the crate a distance of 3.00 m?

Answers

We must do 113 J of work to push the crate a distance of 3.00 m up the ramp at constant velocity.

What is constant velocity ?

Constant velocity is a term used to describe the motion of an object that is moving in a straight line with a constant speed. In other words, if an object is traveling at a constant velocity, its speed and direction of motion are both constant and unchanging. This means that the object is not accelerating, which in turn means that the net force acting on it is zero.

It is important to note that constant velocity does not mean that the object is at rest, as it can still be moving at a constant speed. Additionally, if the velocity of an object changes, even if its speed stays the same, it is still considered to be accelerating.

Since the crate is moving at a constant velocity, the net force acting on it must be zero. This means that the force you are applying to push the crate up the ramp must be equal in magnitude and opposite in direction to the force of friction acting on the crate. Using Newton's second law, we can write:

ma = F_push - F_friction

where m is the mass of the crate, a is its acceleration (which is zero since it is moving at constant velocity), F_push is the force you are applying to push the crate up the ramp, and F_friction is the force of kinetic friction acting on the crate.

The force of friction can be found using the coefficient of kinetic friction and the normal force. The normal force is equal in magnitude and opposite in direction to the component of the weight of the crate that is perpendicular to the ramp. Using trigonometry, we can find that:

N = mg cosθ

where g is the acceleration due to gravity and θ is the angle of the ramp. The force of friction is then:

F_friction = kN = kmg cosθ

So we can rewrite Newton's second law as:

ma = F_push - kmg cosθ

Solving for F_push, we get:

F_push = ma + kmg cosθ

The work done by a force is given by:

W = Fd cosφ

where F is the force, d is the distance moved, and φ is the angle between the force and the direction of motion. In this case, the force and the displacement are in the same direction, so φ = 0 and the work done by the pushing force is simply:

W_push = F_push d

Plugging in the given values, we get:

W_push = (ma + kmg cosθ) d

= (20.0 kg)(0 m/s^2 + 0.200(9.81 m/s^2) cos31.0°)(3.00 m)

= 113 J

Therefore, we must do 113 J of work to push the crate a distance of 3.00 m up the ramp at constant velocity.

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Newton’s universal law of gravity tells us that F = G(m1m2/d2). Newton’s second law tells us that a = Fnet/m.

(a) With a bit of algebraic reasoning show that your gravitational acceleration toward any planet of mass M a distance d from its center is a = GM/d2.




(b) How does this equation tell you whether or not your gravitational acceleration depends on your mass?

Answers

B hehdhfhfhhfhfhfhfhfhfhfhf

PLEASE HELP ME WITH THIS ONE QUESTION
The color orange has a wavelength of 590 nm. What is the energy of an orange photon? (h = 6.626 x 10^-19, 1 eV = 1.6 x 10^-19 J)

Answers

Answer:

The correct answer is - 2.10 eV.

Explanation:

To calculate the energy of a photon of  a specific wavelength light, the following formula can be used:

E = h * c / λ = h * f ,

where,

E = energy of a photon.

h = Planck constant,

c = speed of light,

λ = wavelength of a photon,

f = frequency of a photon.

Putting the given value of orange photon:

E = h * c / λ

= (6.626 x 10^-19)*(3*10^8)/590

= 3.36685738E-19 or 2.1014 eV

What is the velocity (in metres per second) of a Canadian
Forces CF-18 fighter jet that travels 8.864 km [S] in
0.297 min?

Answers

Answer:

497 m/s

Explanation:

(8.864 x 10^3 m)/(0.297 * 60 sec) = 497 m/s

The  velocity (in metres per second) of a Canadian Forces CF-18 fighter jet would be 497.41 meters/second.

What is speed?

The total distance covered by any object per unit of time is known as speed.

As given in the problem we have to find out the  velocity (in meters per second) of a Canadian Forces CF-18 fighter jet that travels 8.864 kilometers [S] in 0.297 minutes,

The distance traveled by the  CF-18 fighter jet =  8.864 kilometers

1 kilometer = 1000 meters

8.864 kilometers = 8.864× 1000 meters

                             =8864 meters

The time taken by  CF-18 fighter jet = 0.297 minutes

1 minute = 60 seconds

0.297 minutes = 0.297 ×60 seconds

                        =17.82 seconds

The velocity of the CF-18 fighter jet =8864 meters/17.82 seconds

                                                         = 497.41 meters/second

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pair of two hollow cups is term as​

Answers

Answer:

Magdeburg hemispheres are a pair of large copper hemispheres, with mating rims.

Explanation:

They were used to demonstrate the power of atmospheric pressure. When the rims were sealed with grease and the air was pumped out, the sphere contained a vacuum and could not be pulled apart by teams of horses.

Magdeburg hemispheres

Pls help. Pure substance vs Mixture

Pls help. Pure substance vs Mixture

Answers

Answer:

i cant see the picture.

Explanation:

please... the picture isn’t noticeable

When a skater pulls her arms in, it
reduces her moment of inertia from
2.12 kg m² to 0.699 kg-m². If she was
initially spinning 3.25 rad/s, what is
her final angular velocity?

Answers

The skater's final angular velocity is approximately 9.86 rad/s.

The skater's final angular velocity can be calculated using the principle of conservation of angular momentum. The equation for angular momentum is given by:

L = Iω

where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.

Initially, the skater has an angular momentum of:

L_initial = I_initial * ω_initial

Substituting the given values:

L_initial = 2.12 kg m² * 3.25 rad/s

The skater's final angular momentum remains the same, as angular momentum is conserved:

L_final = L_initial

The final moment of inertia is given as 0.699 kg m². Therefore, the final angular velocity can be calculated as:

L_final = I_final * ω_final

0.699 kg m² * ω_final = 2.12 kg m² * 3.25 rad/s

Solving for ω_final:

ω_final = (2.12 kg m² * 3.25 rad/s) / 0.699 kg m²

Hence, the skater's final angular velocity is approximately 9.86 rad/s.

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Which pairs of elements could not react to form an Ionic compound

Answers

Answer:

Sodium and calcium

Explanation:

Answer:

Ionic bond is the name given to one of the three ways in which atoms can interact with each other. The other forms of interaction between atoms are the covalent bond, which occurs between atoms of ametals, hydrogens, or ametal and hydrogen, and the metallic bond, which occurs only between atoms of the same metal.

Explanation

:The atoms of the chemical elements that participate in the ionic bond must present, necessarily, the nature of gaining or losing electrons, thus, the ionic bond can occur between:

a metal and an ametal;

a metal and hydrogen.

Sodium: metallic element, as it has the characteristic of losing electron; belonging to the IA family, atomic number 11, with an electron in the valence shell.

Chlorine: ametalic element, as it has the characteristic of gaining electrons; belonging to the VIIA family, with atomic number 17.

what is a shargaff rule

Answers

According to Chargaff's rule, the amounts of adenine (A), thymine (T), and guanine (G) in the DNA molecule are equal to each other. The amounts of cytosine (C) and guanine (G) are also equal.

Who is Chargaff ?

Erwin Chargaff was a biochemist, author, Bucovinian Jew who immigrated to America during the Nazi era, and professor of biochemistry at Columbia University's medical school.

Chargaff found patterns among the four bases, or chemical building blocks, of DNA, which are directly related to DNA's function as the genetic material of living things.

He was born in Austria-Hungary. Heraclitean Fire: Sketches from a Life Before Nature, an autobiography he penned, received positive reviews.

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When analyzing work and energy problems, it is important to define the system and the environment in such a way as to make the problems easier to solve. The following are characteristics of a system. A. Forces internal to the system can change its total mechanical energy. B. A system can be one object or a collection of objects. C. The system is external to the system boundary. D. Objects cannot pass through the system boundary.

Answers

The importance of defining systems and environments in such a way that problems are easily solved. The following characteristic of a system is B. A system can be one object or a collection of objects.

What is the system?

A system is a unit consisting of components or elements that are linked together to facilitate the flow of information, material, or energy to achieve a goal. A system can also be a single object or a collection of objects.

System features are:

The existence of interdependence means that the components are interrelated, interact, and have interdependence as a whole. The output thereof is appropriate and consistent with the planned objectives.

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what do you understand by the term lost voltage?​

Answers

Answer:

When a load resistance is connected, current flows through the cell and a voltage develops across the internal resistance. This voltage is not available to the circuit so it is called the lost volts, .

Explanation:

A direct current is which is a constant stream of charges in one direction.
True
False

Answers

Answer:

True

Explanation:

In direct current (DC), the electric charge (current) only flows in one direction

So this true

A teacher places a warm bottles in a cooler filled with ice. Which statement best explains what happened over time?

A) Thermal energy will move from ice to water bottles
B) Coldness will move from the water bottles to the ice.
C) Coldness will move from the ice to the water bottlers
D) Thermal energy will move from the water bottle to the ice.

Answers

Answer:

D) Thermal energy will move from the water bottle to the ice.

Explanation:

Overtime, what happens is that thermal energy will move from the water bottle to the ice.

The water bottle is at a higher temperature compared to the ice. So, thermal energy will move from a place at higher temperature to one with lower temperature.

Thermal energy will stop moving until thermal equilibrium is attained. The water bottle will lose heat to the ice and by so doing it becomes colder. The ice will gain heat and begins to warm up

solve this with figure.help me ......​

solve this with figure.help me ......

Answers

Answer:

\( \huge\mathfrak\pink{Hope \: it \: helps}\ \)

solve this with figure.help me ......
solve this with figure.help me ......

What order does energy flow: sun prodecer consumer?

Answers

Energy flows from the Sun to producers, then to primary consumers, secondary consumers, and potentially to tertiary consumers, forming a pyramid-shaped structure that represents the transfer of energy through different trophic levels in an ecosystem.

Energy flows in a specific order through various components of an ecosystem, starting with the Sun and progressing through producers and consumers. This flow of energy is known as the energy pyramid or trophic levels.

At the base of the energy pyramid is the Sun, which is the ultimate source of energy for most ecosystems on Earth. Sunlight provides the energy needed for photosynthesis, a process carried out by plants, algae, and some bacteria, collectively known as producers. These organisms convert solar energy into chemical energy through photosynthesis, using carbon dioxide and water to produce glucose and oxygen. This process captures and stores energy in the form of organic compounds.

The next level in the energy pyramid consists of primary consumers, also known as herbivores. These are animals that feed directly on producers, such as grazing animals or insects that consume plants. Herbivores obtain energy by consuming plant material and breaking down the organic compounds present in the plants into simpler forms, such as sugars and amino acids, through digestion.

Above the primary consumers are the secondary consumers, which are carnivores or omnivores that feed on herbivores. They obtain energy by consuming primary consumers and breaking down the organic compounds in their prey through digestion. This energy transfer continues up the trophic levels, with each level consuming the one below it.

At the top of the energy pyramid are tertiary consumers, which are typically apex predators. They are carnivores that consume other carnivores. Tertiary consumers obtain energy by consuming secondary consumers and breaking down the organic compounds in their prey.

It's important to note that energy is not efficiently transferred between trophic levels. Only a fraction of the energy consumed at each level is converted into biomass and passed on to the next level. This inefficiency is due to processes such as respiration, heat loss, and incomplete digestion.

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A baseball is hit almost straight up into the air with a speed of 22 m/s. Estimate (a) how high it goes, and (b) how long it is in the air. (c) What factors make this an estimate ?

Answers

(a) The ball goes up to the height of 31.89 m. (b) The ball stays for 5.1 s in the air. (c) The acceleration due to gravity and wind resistance can affect the estimation.

What is Acceleration due to gravity?

Acceleration owing to gravity is the term used to describe the rate at which a body's velocity changes as a result of the earth's gravitational pull. In general, it is assumed that the acceleration caused by gravity is in the downward direction.

The acceleration caused by gravity has been calculated as, however as it changes from location to location, it may have an impact on the estimation.

You may have thought that the wind has no impact, but it can actually generate drag and even cause the ball to shift course.

Therefore, (a) The ball goes up to the height of 31.89 m. (b) The ball stays for 5.1 s in the air. (c) The acceleration due to gravity and wind resistance can affect the estimation.

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A liquid has a volume and a shape.

Answers

Answer:

A liquid has no definite shape since its molecules are loosely held onto each other. But it does have a volume

Answer:

a liquid has a fixed volume and a variable shape.

Explanation:

sorry if im wrong, ill delete my answer just message me

have a good day

if the body is floating in a liquid then can we say that the rise in the level of the liquid is equal to the height of the body

Answers

Yes, if a body is floating in a liquid, the rise in the liquid level is equal to the body height. This phenomenon is known as Archimedes' principle.

Archimedes' principle says when a body is immersed in a fluid (liquid or gas), it experiences an upward buoyant force equal to the weight of the fluid displaced by the body. Buoyant forces act in the opposite direction to gravity.

When a body floats in a liquid, it displaces a volume of liquid equal to its volume. As a result, the liquid level rises by an amount equal to the height of the submerged part of the body.

This principle holds for objects that float or are partially immersed in a liquid, such as a buoyant boat or a floating object. However, if the body sinks completely into the liquid, the liquid level rise will no longer be equal to its height. Instead, it depends on the density and volume of the submerged object.

How many types of rocks make up the Earth's crust?

Answers

Answer:

3, it's the igneous rock, sedimentary rock, and metamorphic rock i believe

Explanation:

Answer:

igneous, sedimentary, and metamorphic.

Explanation:

Does anybody knows how it's done?
I give them stars and crown

Does anybody knows how it's done?I give them stars and crown

Answers

Write both vectors in component form:

A = (12.0 u) (cos(30°) i + sin(30°) j ) ≈ (10.4 i + 6.00 j ) u

B = (8.00 u) (cos(80°) i + sin(80°) j ) ≈ (1.39 i + 7.88 j ) u

Subtract B from A :

A - B ≈ (9.00 i - 1.88 j )

(a) The magnitude of this vector is

||A - B|| ≈ √(9.00² + (-1.88 )²) u ≈ 9.20 u

(b) This vector has direction θ such that

tan(θ) ≈ (-1.88 u)/(9.00 u) ≈ -0.209

A - B has a positive x-component and a negative y-component, which means it's directed into the fourth quadrant, so

θ ≈ arctan(-0.209) ≈ -11.8°

(c) The negative sign in the angle found in part (b) indicates that A - B makes an angle of 11.8° below the positive x-axis.

How heavier elements formed during stellar nucleosynthesis and evolution?

Answers

Answer:

i honestly think its 21

Explanation:

da memes

10 + 10 =21

" when striking, the pike, a predatory fish, can accelerate from rest to a speed of 4.0 m/s in 0.11 s."The question is " how far does the pike move during his strike" for part b

Answers

According to the question the answer is the pike moves 0.44 meters during his strike.

What is strike?

Strike is a phenomenon that refers to the sudden release of energy from a material due to a sudden change in the applied stimulus. This phenomenon can be seen in many situations, such as lightning, thunder, and earthquakes. In most cases, the energy released is in the form of heat, light, sound, and electrical energy. Strike can also refer to the sudden release of energy from a material due to a physical impact, such as a hammer hitting a nail or a book falling on the floor.

The answer to the question is: 0.44 meters. To calculate this, we must first use the equation d = v*t, where d is the distance, v is the velocity, and t is the time. In this case, we are given that the pike's velocity is 4.0 m/s and the time is 0.11 s. Plugging this into the equation, we get d = 4.0 m/s * 0.11 s = 0.44 m. Therefore, the pike moves 0.44 meters during his strike.

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An aseroid with a mass of 8.4x10^8 kg and a planet with a mass of 6.2x10^23 kg come close to each other by a distance of 8x10^5 m. what is the force of gravity that the asteroid and the planet have on each other ?

Answers

So, the force of gravity that the asteroid and the planet have on each other approximately

\( \boxed{\sf{5.43 \times 10^{10} \: N}} \)

Introduction

Hi ! Now, I will help to discuss about the gravitational force between two objects. We already know that gravitational force occurs when two or more objects interact with each other at a certain distance and generally orbit each other to their center of mass. For the gravitational force between two objects, it can be calculated using the following formula :

\( \boxed{\sf{\bold{F = G \times \frac{m_1 \times m_2}{r^2}}}} \)

With the following condition :

F = gravitational force (N)G = gravity constant ≈ \( \sf{6.67 \times 10^{-11}} \) N.m²/kg²\( \sf{m_1} \) = mass of the first object (kg)\( \sf{m_2} \) = mass of the second object (kg)r = distance between two objects (m)

Problem Solving

We know that :

G = gravity constant ≈ \( \sf{6.67 \times 10^{-11}} \) N.m²/kg²\( \sf{m_1} \) = mass of the first object = \( \sf{8.4 \times 10^8} \) kg.\( \sf{m_2} \) = mass of the second object = \( \sf{6.2 \times 10^{23}} \) kg.r = distance between two objects = \( \sf{8 \times 10^5} \)

What was asked :

F = gravitational force = ... N

Step by step :

\( \sf{F = G \times \frac{m_1 \times m_2}{r^2}} \)

\( \sf{F = 6.67 \times 10^{-11} \times \frac{8.4 \cdot 10^8 \times 6.2 \cdot 10^{23}}{(8 \times 10^5)^2}} \)

\( \sf{F = \frac{347.374 \times 10^{-11 + 8 + 23}}{64 \times 10^10}} \)

\( \sf{F \approx 5.43 \times 10^{20 - 10}} \)

\( \boxed{\sf{F \approx 5.43 \times 10^{10} \: N}} \)

Conclusion

So, the force of gravity that the asteroid and the planet have on each other approximately

\( \boxed{\sf{5.43 \times 10^{10} \: N}} \)

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a roller coaster car moves along the track from position a to position b as shown. which of the following statements describe the changes in kinetic energy and potential energy (pe) observed during this path?

Answers

A roller coaster car moves along the track from position a to position b. The changes in kinetic energy and potential energy observed during this path is its kinetic energy will increase while its potential energy decreases.

As the roller coaster car moves from position A to position B, its kinetic energy (KE) will increase while its potential energy (PE) decreases. This is because the roller coaster car is being accelerated by the force of gravity as it moves downhill, which increases its kinetic energy. At the same time, the roller coaster car is losing potential energy because it is moving from a higher position (position A) to a lower position (position B).

The total energy of the roller coaster car (KE + PE) is conserved, which means that the increase in kinetic energy is equal to the decrease in potential energy. In other words, the change in KE is equal in magnitude but opposite in sign to the change in PE. This relationship between kinetic energy and potential energy can be described using the principle of conservation of energy, which states that energy cannot be created or destroyed, only converted from one form to another. In this case, the potential energy of the roller coaster car is being converted into kinetic energy as the car moves downhill.

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Question - A roller coaster car moves along the track from position a to position b as shown. What describes the changes in kinetic energy (KE) and potential energy (PE) observed during this path?

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