An olympic swimming pool is approximately 88,263 ft3. how many cubic meters (m3) is this? assume there are 3.28 ft in 1 meter.

The only dissimilarity between Coulomb's law and Newton's law of gravitation other than the type of force considered is Newton's law only considers negative force while Coulomb's law considers both forces.

In these contexts, it is considered that repulsive forces are positive and attractive forces are negative. So, Newton's law of gravitation considers gravitational force which only attracts. So, Newton's law of gravitation takes only negative force into account while Coulomb's law considers both electric charges.

According to Newton's law of gravitation,

F = G [tex]m_{1} m_{2}[/tex] / [tex]r^{2}[/tex]

According to Coulomb's law

F = k [tex]q_{1} q_{2}[/tex] / [tex]r^{2}[/tex]

Therefore, the only dissimilarity between Coulomb's law and Newton's law of gravitation other than the type of force considered is Newton's law only considers negative force while Coulomb's law considers both positive and negative forces.

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The correct answer is 5.6 Newton is the force on the egg .

Using newtons 2 law of motion

force  = mass  * accelaration

now accelaration =10 m / s^2

mass = 0.56 kg

force  = 0.56 * 10

force  = 5.6 newton

Newton's second law of motion governs the behavior of objects when all available forces are not balanced. The second law states that an object's acceleration is determined by two variables: the net force acting on the object and the object's mass. The acceleration of an object is proportional to the net force acting on it and inversely proportional to its mass. The acceleration of an object increases as the force acting on it increases. The acceleration of an object decreases as the mass of the object increases.

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Given, Force = 390 N

Diameter of piston (1) = 4 cm

Diameter of piston (1) = 10 cm

now,

By using Pascal's Law which that states that " a pressure change at any point in a confined incompressible fluid is transmitted throughout the fluid such that the same change occurs everywhere", i.e. force per unit area is constant at any point in a confined incompressible fluid flow.

Mathematically, [tex]p=\frac{F1}{A1} = \frac{F2}{A2}[/tex]

where P is pressure at any point in a confined incompressible fluid

F1 and F2 = Force at point 1 and 2 respectively

A1 and A2 = Area of point 1 and 2

So,  [tex]F2 = \frac{F1}{A1} * A2[/tex]

[tex](A1 = \frac{\pi D1^{2} }{4} )\\(A2= \frac{\pi D2^{2} }{4} )[/tex]

[tex]F2 = 390 * \frac{\frac{\pi D2^{2} }{4} }{\frac{\pi D1^{2} }{4} }[/tex]

[tex]F2 = \frac{390}{4*4} * 10^{2}[/tex]

F2 = 2437 N

The magnitude of the force f2 is 2437 N

The given question is complete, complete question is...

"If a 390 N force F1 is applied to the piston with the 4 cm diameter, what is the magnitude of the force F2 that can be resisted by the piston with the 10 cm diameter? Neglect the weights of the pistons."

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Water serves as a lubricant and a shock absorber as part of body fluids.

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Water is the only substance that is naturally present near the surface of the planet in the current atmosphere as a solid, liquid, and a gas.

The gaseous mixture that covers the planet is its atmosphere. The Earth's atmosphere contributes to the viability of life. In addition to giving us air to breathe, it protects us from the majority of the Sun's harmful ultraviolet (UV) radiation, increases the surface temperature of our planet by around 33° C (59° F) due to the greenhouse effect, and mainly eliminates dramatic temperature variations between day and night. There is an atmosphere on each of the other planets in our solar system, but none of them has the same proportion of gasses or layered structure as Earth's atmosphere.

The most prevalent elements are nitrogen and oxygen, which make up about 78% of dry air (N2) and about 21% of it, respectively (O2). Argon, carbon dioxide (CO2), and numerous other gases are also present in the atmosphere, although at considerably smaller concentrations; each makes up less than 1% of the total gas mixture. Water vapor is also present in the atmosphere. Water vapor is present, but its usual concentration is only about 1%. Additionally, there are a lot of tiny liquids and solids "floating" in the atmosphere. The term "aerosols" refers to a group of particles that also includes dust, pollen, spores, salt from sea spray, volcanic ash, smoke, and other substances.

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Mutation provides the raw material for evolution because it can create new alleles, which are alternative forms of the same gene.

A mutation is a variation or change that occurs spontaneously in the sequence of the genes that make up the deoxyribonucleic acid (DNA).

Mutations can occur at three different levels:

In biology, a gene is a unit composed of a chain of deoxyribonucleic acid (DNA) that contains the necessary information to transfer hereditary traits from one generation to the next.

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Answer:

1568 km/hr

Explanation:

First convert from ft/s to km/s

Do this by using a conversion rate.

3280 ft/km

(1429 ft/s)/(3280 ft/km) = 0.4355 km/s

Then convert from km/s to km/hr

Conversion rate 3600 s/hr

(0.4355 km/s)(3600 s/hr) = 1568 km/hr

The average velocity of  you and your family go from Charleston to New Orleans is (Vₐ)= 152.92 km/h

The term velocity explains that the object or particle displacement within the respected time.  Average velocity is total displacement divided by total time.

To calculate the value of average velocity we are using the formula here is,

Vₐ = (s₁+s₂)/(t₁+t₂)= sₐ/tₐ

Here we are known,

t₁= You and your family leave to go from Charleston to New Orleans = 7:00 am.

t₂=You and your family reached to go from Charleston to New Orleans = 4.00 pm.

tₐ=Time interval between the leaving and reaching time=9 hour.

sₐ= The trip’s distance to go from Charleston to New Orleans= 850 miles

Now we put the values in the above equation we get,

Vₐ =sₐ/tₐ

Or, Vₐ =850 miles/9 hour

Or, Vₐ =94.4 miles/hour.

Or, Vₐ = 152.92 km/hour.

According to the calculation we can write that,

The average velocity of  you and your family go from Charleston to New Orleans is (Vₐ)= 152.92 km/h

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On vacation you and your family go from Charleston to New Orleans you leave at 7:00 am and arrive at 4:00 pm and the trip’s distance is 850 miles. what is the average velocity of the trip?

The new moon, if it were visible, when eastern horizon starts at 6 am.

The first bilingual (Chinese and English) community radio show to be broadcast to a local audience in the United Kingdom is called Eastern Horizon. In recent years, it was primarily carried live on Saturdays between midnight and one in the morning on BBC Radio Manchester in Manchester.

The center of the horizon on the front of the planisphere points in the direction of North (0º azimuth). The eastern horizon is on the horizon's right side (90º azimuth), and the western horizon is on the horizon's left (270º azimuth).

The new moon, if it were visible, when eastern horizon starts at 6 am.

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18.45 % percent of the distribution falls between 400 and 500 feet.

Z score is a standard score that tells you how many standard deviations away from the mean an individual value X.

Mean value ,μ= 410 feet

Standard deviation, σ = 45 feet

X = square of an individual

In a set with mean value and standard deviation the z score of a measure X is given by:

 Z = (X - μ)/σ

percent of the distribution that falls between 400 and 500 feet

when

X = 400feet

Z = 400-410 / 45 = -0.22

p-value for Z= 400 is 0.4129

X = 500 feet

Z = 500- 410 / 45 = 2

p-value for Z = 500 is 0.2275

So there is 0.4129 - 0.2275 = 0.1854 = 18.45 %percent of the distribution falls between 400 and 500 feet.

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The work done to haul up the rope is Nm.

We need to know about work to solve this problem. Work can be defined as the energy transferred to or from an object via the application of force along a displacement. It can be written as

W = F x s

where W is work, F is force and s is the displacement.

From the question above, we know that

λ = N/m

s = m

Find the force applied

F = λ . s

F = N/m . m

F = N

Find the work done

W = F . s

W = N . m

W = Nm

Hence, the work done to haul up the rope is Nm.

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Answer:

I need help ASAP to with this question

Explanation:

Please hurry up with assignment

Answer:

See below

Explanation:

It will be 1 PM distance (27km)  + 2 1/2 hrs of 98 km/hr

   =     27   +      2 1/2 * 98 = 272 km west of school

The minimum speed the ball must be served so as to clear the net is 25.69 m / s

We know that,

Speed = Distance / Time

In order to calculate the time, we can use one of the equations of motion,

y = [tex]y_{0}[/tex] + [tex]v_{0}[/tex]t + 1/2 a[tex]t^{2}[/tex]

where,

y = Initial height

[tex]y_{0}[/tex] = Final height

[tex]v_{0}[/tex] = Initial velocity

a = Acceleration due to gravity

t = Time

Given that,

y = 2.7 m

[tex]y_{0}[/tex] = 1.08 m

[tex]v_{0}[/tex] = 0

a = -9.81 m / [tex]s^{2}[/tex] (Due to gravity)

Distance = 14.9 m

y = [tex]y_{0}[/tex] + [tex]v_{0}[/tex]t + 1/2 a[tex]t^{2}[/tex]

2.7 = 1.08 + 0 + 1/2  * ( -9.81 ) * [tex]t^{2}[/tex]

[tex]t^{2}[/tex] = 1.62 / ( - 4.9 ) = 0.33

t = 0.58 s

Speed = 14.9 / 0.58

Speed = 25.69 m / s

Velocity (speed) is the rate of change of distance with respect to time. It is denoted as V.

Therefore, the minimum speed the ball must be served so as to clear the net is 25.69 m / s

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Answer:

Because volume is determined as the product of length and width as well as height of an object.So change in any dimension can change the other two dimensions as well which brings about a greater change in volume by carrying out the product of the dimensions .

Explanation:

Length x width x height = Volume of a regular shaped object

The average acceleration of the car as it accelerates from 15 m/s to 25 m/s will be 2.5 m/s².

Average acceleration is the average rate of change of velocity with respect to time. Mathematically -

a = Δv/Δt

Given that a car is traveling at 15 m/s in north direction and in 4 seconds it accelerates to 25 m/s in the north direction only. Therefore, we can write -

initial velocity [u] = 15 m/s

final velocity [v] = 25 m/s

time taken [Δt] = 4 s

The magnitude of the average acceleration can be calculated as follows-

a = Δv/Δt

Δv = v - u = 25 - 15

Δv = 10 m/s

Therefore -

a = 10/4

a = 2.5 m/s².

Therefore, the average acceleration of the car will be 2.5 m/s².

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The algebraic expression for the electric field for a point

We know that,

Φ = Q / ε[tex]_{0}[/tex]

Φ = EA

Q = σ A

where,

Φ = Electric flux

Q = Total charge

ε[tex]_{0}[/tex] = Electric constant

σ = Surface charge density

A = Area

Area of cylinder = 2 π R l

where,

R = Radius of cylinder

l = Length of cylinder

To calculate electric field at a point outside the cylinder, a gaussian surface is considered outside the cylinder with a radius r ( > R ) and length l. The flux on Gaussian cylinder is equal to the charge on surface of the cylinder.

Q = σ 2 π R l

The electric flux on the surface of cylinder is

Φ = σ 2 π R l / ε[tex]_{0}[/tex]

The electric flux on the Gaussian cylinder is

Φ = E 2 π r l

On equating both,

σ 2 π R l / ε[tex]_{0}[/tex] = E 2 π r l

E = σ R / ε[tex]_{0}[/tex] r

This is the equation for electric field at a point outside the cylinder.

To calculate electric field at a point inside the cylinder, a gaussian surface is considered inside the cylinder with a radius r ( < R ) and length l.

E 2 π r l = 0 ( Since there is no flux created inside a closed cylinder )

E = 0

This is the equation for electric field at a point inside the cylinder.

Gauss law states that the total flux outside a closed surface is directly proportional to net charge enclosed by the surface.

Therefore, the algebraic expression for the electric field for a point

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The characteristics of the outer planets are;

- larger size than the inner planets

- evidence of volcanic activity

- thinner atmosphere than inner planets

- reflect light from sun

The solar system is composed of the sun and the planets. The planets move round the sun in concentric circles. The sun is the focus of the solar system. This is the heliocentric model of the ecosystem.

Now there are several planets in the solar system which are;  Mercury · Venus · Earth · Mars · Jupiter · Saturn · Uranus · Neptune. The planets Mercury · Venus · Earth · Mars  are the inner planets while the planets  Jupiter · Saturn · Uranus · Neptune. are the outer planets.

The characteristics of the outer planets are;

- larger size than the inner planets

- evidence of volcanic activity

- thinner atmosphere than inner planets

- reflect light from sun

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A cyclist starts from rest and accelerates at 4.0 m/s^2 for 3.0 s. After that, the biker travels for 20 seconds at a steady speed. The cyclist travels 258 meters.

This kind of motion is described as the motion of an item traveling in a straight line while maintaining a constant speed along that path while it traverses equal distances in similar amounts of the time, regardless of the length of the time.

A body's acceleration must be zero if it is moving rectilinearly and is doing so consistently.

When an object is travelling uniformly, its speed remains constant. When an item moves uniformly, its displacement is given by the formula x=vt, where v stands for constant velocity and t for the motion's time interval.

Given by, is the displacement of a motion with constant acceleration.

v is constant velocity

t is time interval of the motion.

Given by, is the displacement of a motion with constant acceleration.

[tex]x=v_{i}t+\frac{1}{2}at^{2}[/tex], where

It has a constant acceleration of a

[tex]v_{i}[/tex] is the motion's time interval, and t is the beginning velocity.

Answer and justification

Given: The cyclist's starting speed is,

[tex]v_{i}[/tex]=0

The cyclist's initial acceleration is 4 m/s2.

The span of time during which motion has a constant acceleration is,

[tex]t_{1}[/tex]=3s

The cyclist's displacement in 3 seconds will be,

[tex]x_{1}= v_{i}t_{1}+\frac{1}{2}at_{1}^{2}=0(3)+\frac{1}{2}(4)(3)^{2}=18m[/tex]

After 3 seconds, the cyclist's final speed will be,

[tex]v_{f}= v_{i}+at_{1}=0+4(3)=12m/s[/tex]

t2=20s is the time interval for a cyclist traveling at a steady speed.

The biker will move x2 in the following 20 seconds at a constant speed,

x2=[tex]v_{f}t^{2}[/tex]=(1/2)(20)=240m

The biker will have covered a total distance of

x=x1+x2=18+240=258m.

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The final velocity of the ball, given the data is –13.8 m/s

This is defined as the rate of change of velocity which time. It is expressed as

a = (v – u) / t

Where

The final velocity of the ball can be obtained as follow:

a = (v – u) / t

–2 = (v – 0.2) / 7

Cross multiply

v – 0.2 = –2 × 7

v – 0.2 = –14

Collect like terms

v = –14 + 0.2

v = –13.8 m/s

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The net forces on the first car is zero, the middle car is zero, and the last car is also zero.

In mechanics, the net force is the vector sum of all forces acting on a particle or object. The original forces' impact on the particle's motion is replaced by the net force, which is a single force. It causes the particle to accelerate at a rate equal to the sum of all those actual forces, as stated by Newton's second law of motion.

It is possible to figure out the torque connected to the point at which a net force is applied in order to keep the object's jets moving in the direction of the initial force field. Its resulting torque, the net force, has the same impact on the object's rotational motion as all actual forces combined.

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The left hand plays a steady one-two beat in duple meter, while the right hand emphasizes notes that fall in between these beats. The name for this technique is syncopation.

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The time taken for the APUSH textbook to hit the ground is determined as 0.55 seconds.

The time of motion of an object is the time taken for the object to travel from its initial point to the final point.

The time taken for the APUSH textbook to hit the ground is calculated as follows;

t = √(2h/g)

where;

t = √(2 x 1.5/9.8)

t = 0.55 seconds

Thus, the time taken for the APUSH textbook to hit the ground is determined as 0.55 seconds.

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Rotation curves for spiral galaxies show (C) most have dark halos since It appears that spiral galaxies are encased in the substantial dark matter "halos".

Abstract The main method for ascertaining the mass distribution in spiral galaxies is to analyse the rotation curves of spiral galaxies. They offer vital knowledge for comprehending spiral galaxies' dynamics, evolution, and creation. This substance, which has mass but emits no light, is referred to as "dark matter." The dispersion of dark matter appears to extend much beyond the host galaxy's borders, according to the rotation curves of satellite galaxies.

Rotation curves are used by astronomers to calculate the masses of specific spiral galaxies. There is more mass between the stars and the galactic centre the quicker the stars orbit the galaxy's centre.

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Charge must pass by a point in a wire is 5 Coulomb

Given:

time = 10 s = t

current = 0.50 A = I

To Find:

charge = q

Solution: Current is defined as amount of charge passing through a region per unit time. It is given by the formula

I = q/t

q = I x t = 0.50 A x 10 s = 5 Coulomb

Hence, charge must pass by a point in a wire is 5 Coulomb

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Olympus mons can be found on Mars planet.

In the Tharsis Montes region, close to the Martian equator, Olympus Mons is one of a dozen large volcanoes, many of which are ten to one hundred times taller than their terrestrial counterparts. The massive Martian mountain towers high above the surrounding plains of the red planet and may be waiting for the next eruption. The highest of them all runs about 374 miles (624 km), or about as far as the state of Arizona, and rises 16 miles (25 km) over the plains below. Olympus Mons rises three times higher than Mount Everest, which has a peak elevation of 5.5 miles above sea level and is the tallest mountain on Earth.

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The unknown metal with a mass of 39.27 g is potassium with the symbol K.

The mass of an atom is due to protons and neutrons present in it.

The protons and neutrons are together present in the nucleus of an atom.

The mass of any element is given by its mass number whose formula is

Mass Number = Number of protons + Number of neutrons

In the given case 39 = Number of protons + Number of neutrons

The only element of the periodic table which satisfies the above equation is potassium because it has 19 protons and 20 neutrons.

Thus, the unknown metal with a mass of 39.27 g is potassium with the symbol K.

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The horizontal force p must a worker, new tension is P= 122.62 N

The tension in the rope is

[tex]T_{1}=W_{create} g[/tex]

T1=50×9.81

T1=490.5 N

And the rope is in vertical position

When a worker exert a horizontal force P on the rope, new tension is

[tex]T_{2} =\sqrt{T1^{2} +P^{2} }[/tex]

[tex]T_{2} =\sqrt{490.5}^{2}+P^{2}[/tex]

Since T1 is vertical component to the tension T2

[tex]T_{1} =T_{2} cos \alpha[/tex]

[tex]490.5^{2} /cos^{2} 14.036=490.5^{2} +P^{2}[/tex]

[tex]P^{2} =490.5^{2} /cos^{2} 14.036 - 490.5^{2}[/tex]

P= 122.62 N

As long as no horizontal applied forces are present, the horizontal response force is zero. A single-support cantilever beam has a response force and reaction moment. The total applied forces on the beam are equal to the reaction force.

When the compression pressures are removed, the distortion may either be permanent or reversible. In the latter scenario, the deformation creates reaction forces that compete with the compression forces and may ultimately bring them into balance.

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