3. The runner ran a distance 100m with a force of 45N. How much work
was done? (W=Fx d)

27.00 kg of liquid mercury is needed to fill a 2.0 L container.

The required mass of mercury in kg to fill a 2.0 L container can be determined through proper conversion of units.

Conversion of cm3 to L:

1 cm3 = 1 mL and 1000 mL = 1L

1000 cm3 = 1 L

Conversion of g to kg:

1000 g  = 1 kg

Determine the product of density and volume of the container to solve for the required mass of mercury.

(13.5 g/cm3) x ( 1000 cm3/1 L) x (2.0 L) = 27,000 g

27,000 g * (1 kg/1000 g) = 27 kg of mercury

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The velocity of a woman is (3i + 18j) m/s with a magnitude of 18.25 m/s and 80.54⁰ from the west.

We need to know about vectors to solve this problem. Velocity is included in vectors because it has magnitude and also direction. Velocity can be determined as the distance traveled divided by time interval. Velocity can be written as

v = vx i + vy j

the magnitude of velocity can be determined as

|v| = √(vx² + vy²)

the angle of the vector from x-axis is

tanθ = vy / vx

From the question above, we know that

vx = ( 3 i )mi/h

vy = ( 18 j ) mi/h

Hence, the velocity relative to the surface water is

v = vx i + vy j

v = (3i + 18j) m/s

the magnitude is

|v| = √(vx² + vy²)

|v| = √(3² + 18²)

|v| = √333

|v| = 18.25 m/s

the direction is

tanθ = vy / vx

tanθ = 18/3 = 6

θ = 80.54⁰

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By angular speed, the spring constant is 63.21 N/m.

We need to know about the angular speed of harmonic oscillation. the angular speed can be determined as

ω² = k / m

where ω is angular speed, k is spring constant,  and m is the mass.

The angular speed can be calculated by

ω = 2π/T

Hence,

ω² = k / m

(2π/T)² = k / m

where T is period.

From the question above, we know that:

m = 0.4 kg

T = 0.5 s

By substituting to the equation, we get

(2π/T)² = k / m

(2π/0.5)² = k / 0.4

158.04 = k / 0.4

k = 63.21 N/m

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Answer:

63 N/m

Explanation:

Khan

The current in the solenoid is [tex]3.18\times10^{-11}A[/tex].

It is given that  30.0 -turn solenoid of length 6.00 cm = 0.06m produces a magnetic field of magnitude 2.00 mT at its center .

Putting above values in equation (1) , we get

[tex]2.00=\frac{4\pi \times10^{-7}\times30.0I}{0.06} \\\\I=\frac{2.00\times0.06}{4\pi \times10^{-7}\times30.0} \\\\I=3.18\times10^{-11}A[/tex]

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When the Sun is lower in the sky during the winter than it is during the summer, reduced flux results, on the average, causes colder weather while increased flux causes hot weather.

The sun's rays strike the Earth at an acute angle during the summer. Because the light does not spread as much, the quantity of energy striking any specific location is increased. Furthermore, the lengthy daytime hours give the Earth plenty of time to warm up or become hot. In contrast, during the winter, the sun's rays strike the Earth at a shallow angle. These beams are more dispersed, reducing the amount of energy that impacts any specific place. Furthermore, the long nights and short days keep the Earth from overheating. As a result, we have cold weather.

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The wavelength needed in transition energy is λ = 9.73 x 10¯⁸ m.

We need to know about transition energy to solve this problem. Electrons in a hydrogen atom can move to another level of energy. It is also called a transition. In this process, electrons will absorb or release their energy to move. The transition energy can be determined as

ΔE = E2 - E1

where ΔE is transition energy, E2 is the final state of energy and E1 is the initial state of energy.

The state energy of a hydrogen atom can be calculated by

E = -(13.6) / n² eV

E = h.c / λ

where n is the number of energy states, h is Planck constant (4.136 x 10¯¹⁵ eV/Hz), c is speed of light (3 x 10⁸ m/s) and λ is wavelength.

From the question above, we know that

n2 = 4

n1 = 1

By substituting the following parameter, we get

ΔE = E2 - E1

ΔE = -(13.6) / n2² - (-(13.6) / n1²)

ΔE = -(13.6) / 4² - (-(13.6) / 1²)

ΔE = 13.6 - 0.85

ΔE = 12.75 eV

Calculate the wavelength needed

ΔE = 12.75 eV

h.c / λ = 12.75

4.136 x 10¯¹⁵ . 3 x 10⁸ / λ = 12.75

λ = 9.73 x 10¯⁸ m

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The angle of slope if the sled carrying a 30 kg child which is moving at a constant speed is 12.7°

Given that,

Force, F = 100 N

Mass, m = 10 + 30 = 40 kg

Angle at which the force is applied, θ = 30°

Resolving the force applied into its horizontal and vertical components,

cos θ = [tex]F_{x}[/tex] / F

[tex]F_{x}[/tex] = 100 * cos 30° = 100 * 0.866

[tex]F_{x}[/tex] = 86.6 N

A force due to the weight of the cart is applied on the ground which is directly vertical downwards. But the slope is at an angle. So resolving this force into its horizontal and vertical components.

sin θ = [tex]w_{x}[/tex] / w

w = m g

w = 40 * 9.8

w = 392 N

Given that the velocity when travelling up the slope is constant. So the acceleration is zero.

Σ [tex]F_{x}[/tex] = m a = 0

[tex]F_{x}[/tex] - [tex]w_{x}[/tex] = 0

[tex]w_{x}[/tex] = 86.6 N

θ = [tex]sin^{-1}[/tex] ( 86.6 / 392 ) =  [tex]sin^{-1}[/tex] ( 0.22 )

θ = 12.7°

Therefore, the angle of slope if the sled carrying a 30 kg child which is moving at a constant speed is 12.7°

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The slope of a line is also referred to as the gradient and it is the number which describes both the direction and the steepness of the line.

This type of formula is used to calculate how steep a line is and is usually denoted as m. The formula can be seen below:

m = y2-y1 / x2-x1

Slope can be defined as the ratio of the vertical change between two points to the horizontal change between two points and measures the steepness of a line.

The chosen answers provided are therefore the most appropriate in this context.

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Answer: Students who eat breakfast will perform better on a math exam than students who do not eat breakfast.

Explanation:

Hope this helps!

The time it takes Jane to catch up with Don if Jane is traveling at 10 k.p.h and don at 6 k.p.h is: 2.5 h

The formula and procedure we will use to solve this problem is:

Tr = x/(v2-v1)

Where:

Information about the problem:

Applying the reach time formula we get:

Tr = x/(v2-v1)

Tr = 10 km/(10 km/h- 6 km/h)

Tr = 10 km/(4 km/h)

Tr = 2.5 h

It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).

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The physicist traveling, according to his own testimony at -6.6 × 10⁷ m/s.

Using the formula for doppler shift for light,

λ' = λ√[(1 + v/c)/(1 - v/c)] where

Given that the driver is moving away from the stop light, we take the driver as the source. Since, the Doppler shift made the red light of wavelength 650nm appear green to him, with a wavelength of 520nm. we have

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

λ' = λ√[(1 + v/c)/(1 - v/c)]

520 nm = 650 nm√[(1 + v/c)/(1 - v/c)]

520/650 = √[(1 + v/c)/(1 - v/c)]

0.8 = √[(1 + v/c)/(1 - v/c)]

Squaring both sides, we have

0.8² = (1 + v/c)/(1 - v/c)

0.64 = (1 + v/c)/(1 - v/c)

0.64(1 - v/c) = (1 + v/c)

0.64 - 0.64v/c = 1 + v/c

0.64 - 1 = v/c + 0.64v/c

-0.36 = 1.64v/c

-0.2195 = v/c

v = -0.22c

v = -0.22 × 3 × 10⁸ m/s

v = -0.66 × 10⁸ m/s

v = -6.6 × 10⁷ m/s

So, the physicist traveling, according to his own testimony at -6.6 × 10⁷ m/s.

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Ranking of de Broglie wavelengths from largest to smallest is electron > proton > helium

De Broglie's relationship is given by [tex]\lambda=\frac{h}{mv}[/tex]      .....(1) , where λ  is known as de Broglie wavelength and m is mass , v is velocity , h = Plank’s constant.

From equation (1) wavelength and mass has an inverse relation .

Mass of helium is 4 times the mass of the proton and proton has a greater mass than electron.

According to equation (1) , less the mass higher will be the wavelength

Hence electron having less mass have higher wavelength and then proton and then helium having large mass will have less wavelength .

Thus, order should be electron > proton > helium .

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Answer: 558 meters in 31 seconds.

Explanation:

You simply do 18*31 because every single second for thirty one seconds, the girl is going 18 meters.

Therefore, at this rate, she would ride about 558 meters in 31 seconds.

Answer:

558 m

Explanation:

The formula for distance, given speed and time, is D=ST. When you plug the numbers into this, D=(18)(31), and 18 times 31  *puts in calculator*  is 558.

The speed is in meters per second, so meters would be your unit.

So, the answer is 558 m.

Hope I helped!!! :)

A team of researchers discovers a new gas, which has a value of 1.75 which is impossible. Because the value of the heat capacity is 1.66.

The heat capacity ratio sometimes referred to as the adiabatic index, the ratio of specific heat, or Laplace's coefficient in heat engineering and thermodynamic parameters, is the fraction of the heat capacity at constant pressure [tex]( \rm C_P)[/tex] to the heat capacity at constant volume [tex](\rm C_V)[/tex].

For the mono-atomic gases, the heat capacity ratio is maximum, then it decreases with bi-atomic gases, and it further decreases for tri-atomic gases.

A group of scientists finds a new gas with a heat capacity of 1.75 which is impossible. Due to the maximum heat capacity value is 1.66.

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The total leaf area is increased by a factor of 1.

The total area of the leafy plant is given by the formula below:

a = k m/34

where m is the mass of the tree

The mass of the two smaller trees are half the masses of the bigger trees.

The total area of each of the smaller leafy plants are given are given as follows:

a ∝ m/2 * 3/4

a ∝ m3/8

a = k * m * 3/8

The total area of the two trees:  k * m * 3/8 +  k * m * 3/8

a = 2 *  k * m * 3/8

a =  k * m * 3/8

Therefore, the area is increased by a factor of 1.

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Answer: The total angular momentum of the person-merry go round system is constant

Explanation:

Taking into account the definition of speed ans velocity, the speed and velocity of the car are 10 km/h and 10 km/h due east respectively and the speed and velocity of the truck are 20 km/h and 20 km/h due west respectively.

Speed ​​is a physical quantity that expresses the relationship between the space traveled by an object and the time used for it. That is, the speed is associated with the change of position of an object in space within a certain amount of time.

The speed can be calculated using the expression:

speed= distance traveled÷ time

Velocity is a physical magnitude that relates the displacement of an object, the time it takes to make this change in position and direction. So it is considered a vector magnitude.

The velocity can be calculated using the expression:

velocity= distance traveled÷ time

Velocity has units of distance/time and includes direction of travel.

In this case, you know:

The speed and velocity of the car can be calculated:

The speed and velocity of the truck is calculated as:

In summary, the speed and velocity of the car are 10 km/h and 10 km/h due east respectively and the speed and velocity of the truck are 20 km/h and 20 km/h due west respectively.

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Few meteors make it through the thick air of this planet without disintegrating. This statement is false.

Meteors refer to heavily sized metallic objects or rock fragments that are formed as a result of a collision between asteroids.

These rock lumps revolve around the sun and are smaller in size than asteroids.

Their size ranges from grain-sized particles to about 1 meter wide objects

As they enter the atmosphere of earth they crash forming streaks of light and disintegrate into small-sized dust particles and never get through the thick air of the earth.

However, they impact the earth in several ways such as heating the earth's surface.

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When a moving body's direction changes, its velocity doesn't always go to zero. Only when the body's total displacement is zero does velocity become zero.

A change in the body's state of motion is reflected in either a change in the body's speed or its direction of motion. A force is an attempt to alter the status of an object, whether it is stationary or moving. The speed shift might indicate acceleration or slowdown (deceleration). Acceleration measures the change in speed as opposed to velocity, which measures speed in a vector (also in a vector). The velocity is zero, which indicates that although the item is not moving, there is a force exerted on it due to acceleration.

Hence the change in motion is zero

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When  function =pmt(c5,c7,-c3) is stored in cell c15. Cell c5 must contain a Periodic interest rate.

We know that periodic interest rate is the rate that is realized on an investment, or loan over a specific period of time. Basically, the periodic rate is the annual interest rate divided by the number of periods.

In Excel the syntax of  Rate Function  is RATE(nper, pmt, pv, [fv], [type], [guess]), where pv stands for the loan amount, nper  is the period of payment and pmt is the  periodic payment.

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(a) Total force along y axis,

∑F =ma=0

kx−mg=0 ⇒k= [tex]\frac{mg}{x}[/tex]

The spring constant is, k is

k=(1.5)×(9.8)/(0.020)=14.7/0.020 =735N/m

(b) Frequency f =  [tex]\frac{1}{2} \pi[/tex] [tex]\sqrt{\frac{k}{m} }[/tex]  ⇒ 4[tex]\pi ^{2}[/tex][tex]f^{2}[/tex] = [tex]\frac{k}{m}[/tex]

[tex]\frac{k}{4\pi ^{2}f^{2} }[/tex]= m ⇒ m = (735)4[tex]\pi ^{2}[/tex](3.0)(0.3)

=(735)×4×(3.75)×(3.75)×(9.0)

=735×4×9.85×9.0=7354×9.85×9.0

=735354.6 N

=2.07kg

The spring constant is the force required to stretch or compress the spring divided by the distance the spring is lengthened or shortened. It is used to determine the stability or instability of a spring and thus the system for which it is intended. It is denoted by k.

Therefore the spring constant is 735 N/m and the mass should be 2.07kg.

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Answer:

It might be A!

Explanation:

I'm not entirely sure!

The telescope created the data gathered by Kepler and his team.

What is a star?

A star is a large luminous astronomical body which produces light and heat energy as well as radiation.

There are billions of stars in the universe organized into galaxies.

The Sun is the star of our solar system.

The Kepler project produced a wide range of data products and documentation to assist the community in using data from the mission to help study both exoplanets and other astrophysical areas.

In the video, a mysterious star was observed which is 50 percent bigger and 1,000 degrees hotter than the Sun.

By mean of telescopes, it was observed that the dimming seen in the diet was dues to dust particles.

These data produced ranges from engineering data on the detectors to lists of planet candidates and includes many of the intermediate data products in the data processing path.

The Kepler first mission came to an end after four years when two of the four reaction wheels, used to point the spacecraft malfunctioned.

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The proper equation to use for finding the net force in the y direction is B. Fnety = (FT)(sin 32°) – Fg

The total force acting on an object is its net force. The net force can be determined using Newton's second law, which states that F = ma, where: F is the net force. The object's mass is given by m. Acceleration is a.

The total of all forces acting on an object is known as the net force. A mass can accelerate due to net force. A body is subject to another force whether it is at rest or in motion. The net force is a word used in a system where there is a substantial number of forces.

In this case, the proper equation to use for finding the net force in the y direction is B. Fnety = (FT)(sin 32°) – Fg.

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Answer:

B. Fnety = (FT)(sin 32°) – Fg

Explanation:

just did it!

The car moves 50 km while accelerating.

In mechanics, speed increase is the pace of progress of the speed of an article regarding time. Speed increases are vector amounts. The direction of an item's speed increase is given by the direction of the net power following up on that article. For instance, when a vehicle begins from a halt (zero speed, in an inertial casing of reference) and goes in an orderly fashion at speeding up, it is advancing toward movement. In the event that the vehicle turns, a speed increase happens toward the new bearing and changes its movement vector. The speed increase of the vehicle in its momentum bearing of movement is known as a straight (or distracting during roundabout movements) speed increase, the response to which the travelers on board insight as a drive pushing them once again into their seats. While taking a different path, the affecting speed increases.

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If the atomic orbitals are oppositely charged then they interact destructively.

In Chemistry, molecular orbital theory refers to the pattern of electron movement in a molecule.

It states that electrons have wave-like nature and their combination is the result of the atomic wavefunction.

According to this theory, there are two types of orbitals: bonding orbitals (BO) and anti-bonding orbitals(ABO).

Electrons in bonding orbitals make the molecule more stable as compared to electrons of anti-bonding orbitals.

Atomic orbitals form molecular orbitals and the combination of waves in molecule orbitals forms constructive and destructive interference. In-phase waves give rise to constructive interference.

While the combination of out-of-phase waves results in destructive interference that results in a straight line with no amplitude.

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The magnitude of charge of each particle is 5.55 μC

Given that the two like charges are of same magnitude. Let Q be the magnitude of the charges.

Distance between the particles, r = 5 mm = [tex]5\times 10^{-3}[/tex] m

The force of repulsion exerted upon each other by the charges = 2 N

Coulomb's law states that the force of interaction between the charges is directly proportional to the product of the magnitude of charges and is inversely proportional to the square of the distance between the charges.

I.e., [tex]F = \frac{kQ^2}{r^2}[/tex] , k = [tex]9\times 10^9 Nm^2C^{-2}[/tex]  is the constant of proportionality for the Coulombic force.

⇒ 2 = [tex]\frac{9\times 10^9\times Q^2}{5^2\times 10^{-6}}[/tex]

Therefore, [tex]Q^2 =\frac{50\times 10^{-6}}{9\times10^9}[/tex]

Therefore, Q = 5.55 x [tex]10^{-15}[/tex] C = 5.55 μC is the magnitude of the charge of each particle.

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The time taken for the airplane to travel 1350 m from rest is 30 s

The following data were obtained from the question:

The time taken to travel the distance of 1350 m can be obtained as follow:

s = ut + ½at²

1350 = (0 × t) + (½ × 3 × t²)

1350 = 0 + 1.5t²

1350 = 1.5t²

Divide both sides by 1.5

t² = 1350 / 1.5

t² = 900

Take the square root of both sides

t = √900

t = 30 s

Thus, it will take 30 s for the plane to travel a distance of 1350 m

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A polygon with only one set of parallel sides is called a trapezoid. The parallel bases of a trapezoid are another name for these parallel sides. Trapezoids have two additional sides that are not parallel and are referred to as their legs. The value of x is 12.

A four-sided shape called a trapezoid has one pair of parallel sides. It fundamentally resembles a square, rectangle, or parallelogram in two dimensions. So, like other shapes, this one has a boundary and an area.

There are some Mid-segment characteristics :

Now, according to the diagram, make an equation :

5x-20 = [(2x+6) + (4x+2)] / 2

5x-20 = (6x+8)/2

5x-20 = 3x+4

5x-3x = 20+4

2x = 24

x = 12

Hence, the value of x is 12.

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