what is the geometric relationship between the force f and the cross-section area a under consideration?

Density of liquid is  ρ = 1.735 [tex]g/cm^{3}[/tex].

Density of liquid is  determined by using formula

ρ = m/v

ρ = 34.719/20

ρ = 1.735 [tex]g/cm^{3}[/tex]

It is possible to measure a material's density by how closely it is packed. The mass per unit volume is how it is formally defined. Density Symbol: ρ or ρ = m/V, where ρ stands for density, m for mass, and V for volume.

The amount of "stuff" that is contained in a certain amount of space is measured by density. In comparison to the softer, lighter element gold, a block of the heavier element lead (Pb) will have a higher density (Au). Less dense than a brick is a block of Styrofoam. Mass per unit volume is how it is referred to.

Both absolute and relative densities are common; they are the two forms of density.

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Answer:

1.An object at rest has zero velocity - and (in the absence of an unbalanced force) will remain with a zero velocity. Such an object will not change its state of motion (i.e., velocity) unless acted upon by an unbalanced force.

3.Let speed of balls are v

1

and v

2

.

There is no external force acting, momentum will be conserved.

m

1

u

1

+m

2

u

2

=m

1

v

1

+m

2

v

2

⇒m×6−m×6=mv

1

+mv

2

⇒v

1

=−v

2

Coefficient , e=−

u

1

−u

2

v

1

−v

2

⇒

3

1

=−

6+6

v

1

−v

2

⇒v

1

=−2m/sWhen two objects with the same mass collide, Newton's laws tell us that they will accelerate the same amount but in opposite directions.

Collision Forces - 5/5

1. A) Motion will be either created, stopped or changed.

2. D) 5,208 N

3. B) the mass and acceleration of each person

4. C) balanced forces

5. B) 13.125 N to the right

Hope this helps ya out peeps!

The rate at which the bullet decelerated is -10m/s²

The formula for calculating the deceleration of an object is referred to as:

Deceleration = initial velocity-final velocity/time

Substitute the given parameters to have:

Deceleration = 580-630/5

Deceleration = -50/5

Deceleration = -10m/s²

Hence the rate at which the bullet decelerated is -10m/s²

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A sample of matter, either a single element or a single compound, that has definite chemical and physical properties: is an atom

An atom is the smallest unit of an element that still retains the distinctive behavior and definite chemical and physical properties of the element.

A single atom of an element keep its distinctive behavior, that's because the atom is the smallest unit of the composition of matter

The atom is the smallest part of the composition of matter, it is indivisible and is composed of a nucleus that has protons and neutrons, and around the nucleus there are the electrons.

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The acceleration of the car is 32.8084 ft/s².

To find the acceleration, the given values are:

Initial velocity = 0 m/hr

Final velocity = 60 m/hr

Time = 6 seconds.

         Acceleration,  a = (v - u ) / t m/s²

where, a - acceleration

v - Final velocity

u - Initial velocity

T - Time

Substituting the given values,

a = ( 60 - 0 ) / (6)

  = 60 / 6

  = 10 m/s².

The acceleration of the car is 10 m/s².

As the answer should be in ft/s²,

1 meter = 3.28084

For 10 meter = 32.8084 ft/s².

So, the acceleration of the car during the run is 32.8084 ft/s².

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The two possible angles obtained by using the qudratic equation are;

θ[tex]_{1}[/tex] = 15.10° and θ2 = 73.51°

Given, speed of water = [tex]v_{A}[/tex] = 50ft/s

For the motion along x direction, time period can be calculated as follows:

[tex]s_{x} = (v_{A}) _x_{} } t[/tex]

35 = (50 × cosθ) t

t = 0.64 / cosθ

For the motion in y direction, an equation can be obtained as follows:

[tex]s_{y} = (v_{A})_{y} t +\frac{1}{2} (a_{y} )t^{2}[/tex]

[tex]s_{y} = (-v_{A}[/tex][tex]sin[/tex]θ) [tex]} t +\frac{1}{2} (a_{y} )t^{2}[/tex]

Plugging in the values we get:

[tex]-20 = (-50_[/tex][tex]sin[/tex]θ) [tex]} t +\frac{1}{2} (-32.2} )t^{2}[/tex]

-20 = -32tanθ - 10.304[tex]sec^{2}[/tex]θ

Upon solving the above quadratic equation, we get,

tanθ = 0.27 , -3.38

Therefore,

tanθ[tex]_{1}[/tex] = 0.27

θ[tex]_{1}[/tex] = 15.10°

and, tanθ[tex]_{2}[/tex] = -3.38

θ[tex]_{2}[/tex] = 73.51

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She would weigh 31.87 lbs on mars when her mass on earth is 85 lbs.

Mass is a tangible body in the form of volume of matter. Additionally, it is a measure of the body's inertial, or resistance to acceleration in the presence of a net force The intensity of an object's gravity field to other bodies is also affected by its mass. The kilogram acts as the SI's primary mass unit. Think about the situation where three different scales are holding a marble, a tennis ball, and a bowling ball. The bowling ball would undoubtedly get the highest reading on the scale out of these three. Different planets has different weights and it is because of their gravitational pull while mass is same everywhere in the universe. A body can have mass but still no weight. The formula of Weight is W = mg, where m represents the mass of the body and g is the acceleration due to gravity. Also g depends on the location and the mass of the planet.

The weight on mars is 3/8 mass on the earth.

So here the if a person weighs 85 lbs on earth then on mars the weight will be 85*(3/8)=31.87 lbs.

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The work done required to raise a 50-kilogram bag 5 meters vertically vs a 25 kg bag of cement is the same.

Work done in lifting 25 kg by 10 m vertically

⇒ [tex]w_{1} = f_{1} d_{1}[/tex]

[tex]= (m_{1} g)d_{1}[/tex]

= 25 × 9.8 × 10 J

= 2450 J

Work done in lifting 50 kg by 5 m vertically

[tex]w_{2} = f_{2} d_{2}[/tex]

[tex]= (m_{2} g)d_{2}[/tex]

= 50 × 9.8 × 5

= 2450 J

Here, both are the same.

The product of an object's displacement and the issue of the carried out force this is directed inside the direction of the object's displacement is called the paintings done via a pressure.

The vertical motion has no effect and is 0. best the horizontal component is protected for computations for the reason that object travels horizontally. As a result, the vertical component of the pressure does no longer work.

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The greatest amount of kinetic energy of the ball is when the ball is almost at the floor.

According to the Law of Conservation of Energy, the total energy of a system is conserved.

The total energy includes the kinetic energy and potential energy.

Thus KE+PE = k(constant)

Therefore, when kinetic energy is maximum, the potential energy is minimum and vice versa.

When the ball is still in the net, it is at its highest point. So, its potential energy is maximum and kinetic energy is minimium.

When the ball is about to hit the ground, its potential energy becomes minimum and kinetic energy becomes maximum.

Thus, the greatest amount of kinetic energy of the ball is when the ball is almost at the floor.

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The planet will have a diameter that is approximately ten times larger than mercury on a scale model is Jupiter.

On a scale model, Jupiter will have a diameter that is roughly ten times greater than Mercury.

The smallest and closest planet to the Sun in the Solar System is Mercury. With an orbital period of 87.97 Earth days, it has the quickest orbit of all the planets around the Sun.

The largest planet in the solar system, Jupiter, is located fifth from the sun.

It is a gas giant with a mass that is more than 2.5 times more than the sum of the masses of all the other planets in the Solar System, although it is only slightly more massive than the Sun.

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By the trigonometry the magnitude and direction of the smallest force p for which the resultant r of the two forces applied at a is vertical force p is 368.06  N.

A vector is a quantity or phenomenon with independent properties for both size and direction. The mathematical or geometrical depiction of a quantity is another meaning of the word. Vectors may be found in nature as force, momentum, electromagnetic fields, weight, and velocity.

The average is calculated by dividing the total by the vector's n elements. can be written as. Since the average is simply a rescaling of the total, the terms average and sum are frequently equivalent. A particular instance of the mean is the average.

balancing forces in horizontal,

425cos30 = Pcosa

P = 425cos30 / cosa   this should be smallest

that means cosa should be biggest.

max(cosa)  = 1

at a = 0 degrees.

so  p = 425cos30/1  = 368.06  N

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By these laws, comet A will have a lower orbital speed. Then the correct option is A.

Every planet's orbit around the Sun is an ellipse, according to Kepler's First Law. The planetary ellipse's central point is always exactly where the Sun is. The Sun is centered. The planetary system is an ellipse, thus as it revolves around its axis, the distance from the Sun changes continuously.

According to Kepler's First Law, the sun is also one of the elliptic foci of planetary bodies' orbits. In addition, according to Kepler's Second Law, as the site goes along its orbital, it covers equal regions in similar amounts of time. Eventually, Kepler's Third Law states that the ratio of the cubes of two planetary nebulae' semi-major longitudinal axis to their rectangular shape periods is equal to that ratio.

By these laws, comet A will have a lower orbital speed.

The missing options are given below.

A. Comet A

B. Comet B

C. Both would be the same

D. Impossible to tell

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The correct answer is 16.62m.

The acceleration brought on by gravity is the acceleration that an object experiences as a result of the gravitational attraction that attracts two objects. Since the SI unit for gravity and acceleration are the same, ms^-2 is used. The standard value for the earth's gravitational acceleration is represented by (g). At mean sea level, g has a standard value of 9.8 ms^-2.

a) Motion of egg is under gravity only so

v= initial speed

v= 4 m/s

b)

Time taken to reach the height point

t_1= v_0-v_top/2g = 4-0/9.8

=4/9.8=0.4

Maximum height attained by egg from the building's roof

h=v_0^2/2g=(4)^2/2×9.8=

=16/19.6=0.81

maximum height from ground

H=h+15.0m

=0.81+15.0=15.81m

Time taken to fall through a distance H is given by

t_2= √2H/g

= √2(15.81)/9.8

= √31.62/9.8

t_2=1.79

∴t=t_1+t_2

=0.4+1.79

=2.19 s

c)

d=h+h=0.81+0.81+15

=16.62

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The best choice is A. We transition from a gaseous to a liquid state by condensing steam. Entropy declines as unpredictability rises in a liquid transition from a gaseous state.

The degree of disorder in a system is measured by entropy. Disorder refers to the "distance" and "separation" between molecules, particles, etc. Because they have rigid structures as opposed to gases and liquids, which have free structures, solids and crystals have less chaos. Compared to solids and crystalline formations, gases and liquids contain higher levels of chaos. Entropy increases as heat and energy are added, which indicates that disorder is spreading more quickly. Entropy is a measure of how much chaos there is in a system and how rigid and organized it becomes when less heat and energy are contributed.

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The average acceleration of the shoes thrown at him, a =2.775 m/s².

To find the acceleration with given data we use this formula,

v = u + aΔt

Where,

v is final velocity

u is initial velocity

a is acceleration

Δt is time

So,

v - u = aΔt

a = v - u /Δt

a = 12km/hr - 0 / 1.2 s

a = 12km/hr / 1.2s

Changing km/hr into m/s,

1 kilometer/hour = 1000meters / 3600 seconds

We get,

12km/hr = 3.33m/s

a = 3.33 m/s / 1.2s

a = 2.775 m/s²

When an object is moving, its velocity is the rate at which its direction is changing as seen from a specific point of view and as measured by a specific unit of time. Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path.

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The electrical symbols used in schematic diagrams also represent the physical location of the circuit.

A schematic diagram is a basic, two-dimensional representation of an electrical system that shows the connectivity and operation of various electrical components.

A simplified drawing that uses symbols and lines to represent key information is called a schematic diagram. For instance, if you're taking the subway, you might see a "map" that shows all the stations along the route, but it won't show all the streets and structures you might pass.

The most typical symbols used in circuit diagramming are electrical symbols. In your circuit, amplifiers (represented by triangle shapes) boost the output signal. Your system's capacitors (parallel lines) store energy, whereas resistors (zigzag lines) lower current flow.

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The weight of ourselves on the new planet will reduce by 1/4 factor.

We know that each body attracts another body, Now if we free fall on any planet then the natural acceleration or acceleration due to gravity force is called gravitation acceleration.

The gravitation acceleration is given by,

g = GM/R²

Where G is constant while M is the mass of the planet and R is the radius of that planet.

The value of g or gravitational acceleration for the earth is 9.81 m/sec².

Given that the new planet has a mass of 4 times then earth and diameter is also 4 times.

Since gravitation acceleration of earth ;

g = GM/R²

Since the diameter is 4 times so radius will also 4 times.

New planet acceleration ;

g' = G(4M)/(4R)²

g' = 4/16(GM/R²)

g' = 1/4(g)

Hence "The weight of ourselves on the new planet will reduce by 1/4 factor".

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With the help of Equations of Kinematics, we can say that, both the stones meet at a time t= 4 seconds and they meet at a height of 320 meters from the ground if the speed of the second stone was 100ms⁻¹.

When the body is thrown upwards or downwards it is influenced by gravity and it accelerates and deaccelerates accordingly and its magnitude is equal to the Acceleration due to gravity (g).

Based on this concept, if the body is thrown upwards a = - g (deacceleration), and if the body is dropped downwards a = g(acceleration).

Here in this question, the stone thrown upwards will deaccelerate and the one dropped downwards will accelerate.

So, the Height of the tower=400 meters.

Let the distance traveled by the stone dropped downwards from the top be s₁ and the distance traveled by the stone thrown upwards from the bottom be s₂.

Let the initial velocity of stone dropped downwards be u₁ and the stone is thrown upwards be u₂.

Let the time at which they meet together be t.

Now, using the equation of kinematics,

s=ut+ 1/2gt²

Here, acceleration = a will be equal to the acceleration due to gravity g.

(Take g=10m/s²).

We can write,

s₁=u₁t+1/2 gt²

s₂=u₂t-1/2 gt²

We know that,

s₁+s₂= 400

So, substituting the values of s₁ and s₂

u₁t+1/2 gt² + u₂t-1/2 gt² = 400

As the stone was dropped from rest u₁=0

On further solving,

u₂t=400

Given, u₂= 100ms⁻¹

Hence, t=4 s

Now, s₂= 100(4)-1/2(10)(4²)

=400 - 80

= 320 m

The distance is 320 m from the ground.

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The wavelength at which maximum energy is radiated by the sun is 520 nm.

What wavelength does the sun's peak energy output occur?

The spectrum below is the result of separating sunlight into its individual wavelengths. You may easily understand why sunlight seems yellow because the majority of sunlight is produced at wavelengths about 500 nanometers.

5800 K is what color?

It has already achieved the temperature of 5800 K, which is what humans experience as visible white light, by the time it reaches the photosphere, the surface of the sun.

At a wavelength of 510 nm, the sun's radiation intensity is at its highest.

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This is thus because voltage divided by distance determines how strong an electric field is. The field is inversely proportional to this spacing at constant voltage.

More charge can flow via a stronger field, increasing capacitance.

In the simplest terms, the closer two items are near one another, the greater the influence; conversely, the further apart they are, the lesser the influence. As a result, capacitance decreases as spacing increases.

The ratio of the quantity of electric charge held on a conductor to an electric potential difference is known as capacitance. Self-capacitance and mutual capacitance are two concepts that are related to one another.

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The electric field is 42750 N/C.

We need to know about the electric field to solve this problem. The electric field is the area that is affected by electric energy. The magnitude of the electric field can be determined as

E = k . Q / R²

where E is electric field, k is coulomb's constant (9 x 10⁹ Nm²/C²), Q is charge and R is radius.

From the question above, we know that

Q = 1.9 nC = 1.9 x 10¯⁹ C

R = 2 cm = 0.02 m

By substituting the parameters, we get

E = k . Q / R²

E = 9 x 10⁹ . 1.9 x 10¯⁹ / 0.02²

E = 42750 N/C

Hence, the electric field is 42750 N/C

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The compound which can exabit the empirical formula of 1:3 is SO₃.

The simplest whole number ratio of atoms in a molecule is the empirical formula of a chemical compound in chemistry. Sulfur monoxide's empirical formula, SO, and disulfuric dioxide's empirical formula, S2O2, are two straightforward examples of this idea.

An empirical formula is a compound's chemical formula that only specifies the ratios of the elements it contains and not the precise number or arrangement of atoms. This would be the compound's element with the lowest whole number ratio.

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If you look at courage and if you look at the brain, there is one particular brain structure that plays a very important role when it comes to courage and your own performance. This part of the brain is called the amygdala. The amygdala is a brain structure that is very small, and we have two of them, one of the left side of the brain, one on the right side of the brain. They’re very small and look like an almond. Amygdala is also the Latin word for almond. Even though they are small, they amygdala is also extremely powerful. It plays a very important role in our survival. Whenever there is a real danger outside, it will trigger a fight, flight or freeze response, so you will fight danger, run away, or just be blocked in your own emotions, you will freeze, perhaps you will hide. The amygdala is very important for our survival and for many emotions in general, but in many situations, the amygdala will also become active when there is no real danger, for example, standing on stage and holding a presentation, leading a difficult conversation. These are two examples where there’s no real danger, but nevertheless, the amygdala can be triggered and cause this feeling of nervousness and anxiety. It’s these feelings of nervousness, anxiety or insecurity that will also block us in our potential to hold a presentation or to lead a good conversation.

The correct answer is α=31, β=73.4, γ=64.62.

The magnitude of a force is the measurement or size of the force acting on an object. The amount of the resultant force is the vector sum of the forces acting on the body. There are frequently several forces acting on a body at once. Either they act in unison or in opposition to one another.

Given :

F1 = 20i - 10j,

F2 = 30j + 10k,

and F3 = 40j + 20k.

We need to find the magnitude of the combined forces.

F_net= F_1+F_2+F_3

F_net=20i-10j+30j+10k+40i+20k

F_net=60i+20j+30k

|F_net|=√(20)^2+(60)^2+(30)^2

=√(400+3600+900)

=√4900

=70N

Direction of force=

cos α=F_x/|F_net|=60/70

cos β=F_y/|F_net|=20/70

cos γ=F_z/|F_net|=30/70

α=31

β=73.4

γ=64.62

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The average acceleration is -5.21 m/s² and the stopping time is 5.2 sec.

Given,

Final velocity, v = 0

Initial velocity, u = 61 mph

mph to km/h

u = 97.6 km/h

Or, u = 27.11 m/s

Displacement, s = 231 feet

Or, s = 70.4 meter

By using the third equation of motion, we get

v² - u² = 2as

0 - (27.1)² = 2 × a × 70.4

Or, acceleration(a) = -5.21 m/s²

Now, by the first equation of motion,

v = u + at

Or, - u = at

-27.11 = -5.21 × t

Or, t = 27.11/5.21

t = 5.2 sec

The stopping time (t) is 5.2 sec

Hence, the average acceleration is -5.21 m/s², and the time is 5.2 sec.

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This statement is True that the pressure in the mesosphere is so low that a person will not be able to sustain in this layer without a spacesuit.

The mesosphere may be defined as the region in the earth's atmosphere which lies above the stratosphere and below the thermosphere. It has a very low temperature and pressure. The top of the mesosphere is the coldest part of Earth's atmosphere.

This layer is the highest layer of the Earth's atmosphere wherein all the gases of the atmosphere get mixed up rather than being layered in the atmosphere according to their masses. The pressure in the Mesosphere is very low the reason that it is very highly situated, and all the amount of air mass lies below this layer.

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The position of an object changes when you move, and this is known as parallax. For instance, if you turn your head a little from side to side while looking at a nearby object, the object will appear to be moving back and forth. 

Sit steady and look at an object while covering your right and left eyes alternately to observe parallax. As you do that, the object will appear to "bounce back and forth." We are able to calculate the distance to surrounding objects thanks to parallax. We frequently employ it in straightforward acts like taking up a pencil. Because stars are so far away, the angle by which their positions change is quite small—only a few hundredths of a degree. The change is so slight that astronomers employ an even smaller measurement of angle called an arc-second, which is equivalent to a sixty-fifth of a sixty-fifth of a degree. So, one arc-second is equal to 1/60x1/60 or 1/3600 of a degree.

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The magnitude of the resultant force is 10.40 KN.

The problem is based on the concept of concurrent coplanar forces. The value of the resultant forces in the vertical direction is to be equated to zero to calculate the value of the angle.

The summation of the forces in the horizontal direction will provide the value of the resultant force in the horizontal direction.

Concurrent coplanar forces these forces emerge from a common point. These forces work in a common plane. The resultant of these forces in a direction is the sum of the forces in that direction.

The resultant force for a coplanar concurrent unidirectional force system is expressed as,

F=F+F, +F

Here, F, F2, and F3  are the unidirectional concurrent coplanar forces and are the resultant of the forces.

The resultant force will be equal to the sum of the forces in the horizontal direction.

FR = (8 kN)sin +(6 kN) sin(40°)

Substitute 54.939  for.

FR = (8 kN) sin(54.93°) +(6 kN)sin (40°) = 10.40 KN

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The total time it is in the air for the ball is 3.672 s

Given:

Initial velocity = 18 m/s

We have to find the total time the ball is in the air.

By using the formula, we get,

t = v - u/a

Where t = time to reach the maximum height

v = final velocity of the ball = 0 m/s

u = initial velocity of ball = 18 m/s

a = acceleration due to gravity = -9.8

Acceleration of gravity is taken as negative because the ball is moving in the opposite direction.

t = 0 - 8/-9.8

t = 1.836 sec

Thus, time is taken by the ball to reach the ground again = time taken to reach the maximum height

So, the Total time required for the ball to reach the ground = 2t = 2 × 1.836

Total time required for the ball to reach the ground = 3.672 s

Hence, the total time it is in the air for the ball is 3.672 sec.

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Answer:

The graph is trying to show a comparison of statistics. In order to fully understand this graph, we need a label for the different colors and sections in the graph and a title for the graph. Without this information, we cannot fully understand what this graph is trying to portray.

Explanation:

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