One wave's 150 degree positive displacement is exactly cancelled by the second wave's 150 degree negative displacement. The resulting wave has zero amplitude.
How do you determine a wave's time delay?The difference in length a wave frontal must go between the frame of reference and the element of interest is used to determine the wave face time delay. After then, the time is determined by multiplying the distance by the sound speed.
What is the delay time unit?A delay unit is a multi-path structure that offers a predetermined time delay or configurable time delay. It differs from a phase shifter yet is comparable to one. Typically, a phase shifter offers a predetermined insertion phase difference.
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s) of the rocket with respect to its gravitational interaction with the sun? the initial distance of the rocket from the sun is 1.5 x 1011 m and the mass of the sun is 1.99 x 1030 kg. you may ignore all other gravitational interactions for the rocket and assume that the system is isolated. hint: the mass of the earth is 5.94 x 1024
The ultimate velocity of the rocket in relation to its gravitational interaction with the Sun may be estimated using Newton's law of gravitation's equation of motion: d2r/dt2 = -G * M Sun / r2.
What is gravitation?Gravity is a force that exists between all physical entities in the universe. It is also known as gravitation. Gravity attempts to attract any two objects or particles with nonzero mass toward one another. Gravity impacts everything, from subatomic particles to galaxy clusters. In physics, gravity is the force that pulls two masses toward one other. Believe it or not, every particle of matter in the universe has gravitational attraction on every other particle. The terms gravitation and gravity are frequently used interchangeably to describe the attraction between any entities with energy or mass.
Here,
Given the initial conditions of r = 1.5 x 10^11 m and the initial velocity of the rocket, we can integrate the equation of motion twice to find the final velocity of the rocket.
The final velocity of the rocket with respect to its gravitational interaction with the Sun can be calculated using the equation of motion derived from Newton's law of gravitation: d^2r/dt^2 = -G * M_Sun / r^2 where r is the distance between the rocket and the Sun, M_Sun is the mass of the Sun, and G is the gravitational constant.
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the moon has no sustained atmosphere. what advantages would you have if you built an observatory on the lunar surface? (select all that apply.)
The advantages includes Reduced light pollution from Earth's atmosphere, lack of atmospheric turbulence for clearer observations, access to different astronomical phenomena and celestial objects Protection from solar radiation and cosmic rays and extended periods of darkness for uninterrupted observations. All options are correct.
There would be many benefits if an observatory were constructed on the lunar surface. First, less light pollution from the Earth's atmosphere would be present, making it easier to observe celestial objects.
Secondly, the Moon's lack of atmospheric turbulence would create stable viewing conditions, reducing distortions and enhancing image clarity.
Thirdly, having access to many astronomical phenomena and celestial objects would offer special research opportunities. Fourthly, more sensitive studies would be possible due to the lunar surface's partial shielding from solar and cosmic rays.
The prolonged darkness on the Moon would also allow for uninterrupted observations free from light pollution.
Thus, all options are correct.
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Your question seems incomplete, the probable complete question is:
the moon has no sustained atmosphere. what advantages would you have if you built an observatory on the lunar surface? (select all that apply.)
A) Reduced light pollution from Earth's atmosphere.
B) Lack of atmospheric turbulence for clearer observations.
C) Access to different astronomical phenomena and celestial objects.
D) Protection from solar radiation and cosmic rays.
E) Extended periods of darkness for uninterrupted observations.
g an olympic-class sprinter starts a race with an acceleration of 4.24 m/s2. (a) what is her speed (in m/s) 2.16 s later? m/s
To find the speed 2.16 seconds later, we can use the formula for velocity with constant acceleration: v = v0 + at
where v0 is the initial velocity (assumed to be 0 m/s), a is the acceleration (4.24 m/s2), and t is the time elapsed (2.16 s).
Plugging in the values, we get: v = 0 + (4.24 m/s2) * (2.16 s) = 9.06 m/s
What is the relationship between time and the sprinter's speed?The relationship between time and the sprinter's speed is linear. As time passes, the sprinter's speed increases with a constant acceleration. The speed of an object with constant acceleration can be calculated using the equation v = u + at, where u is the initial velocity, a is the acceleration, and t is time. In the case of the sprinter, as she starts to run with an acceleration of 4.24 m/s2, her speed increases by the product of her acceleration and the time elapsed. Hence, the longer the time elapsed, the higher her speed will be.
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What is the total energy stored in parallel capacitors?
The total energy stored in a system of parallel capacitors is given by the equation: [tex]E=(1/2)*C*V^{2}[/tex].
Do parallel capacitors contain the same energy?In straightforward situations, the charge stored on each capacitor linked in series has the same value, and the voltage differential across each capacitor connected in parallel has the same value.
Why are parallel circuits more energy-efficient?Each bulb in a straightforward parallel circuit receives the entire battery voltage. This explains why the parallel circuit's lights will shine brighter than the series circuit's. The parallel circuit also has the benefit of maintaining electricity even if one loop is disconnected.
What kind of energy is stored in capacitor?The stored energy in a capacitor is the result of the labor required to build up the charge. Induced voltage and work output are related. V=QC is the formula employed, where V stands for electrical potential, C is for capacitance, and Q is for the charge held in a capacitor.
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a car travels along a straight line from point a to point b. the distance between the two points is 550.0 m. for the first half of the trip (in terms of time), it goes at a constant speed 50.0 m/s. for the second half, it has a constant acceleration till the end of the trip. if the total trip takes 20.0 seconds, what is this acceleration?
Between points a and b, an automobile moves in a straight line. the two sites are 550.0 meters apart, and the speed is 50.0 meters per second with an acceleration of 30 miles per hour.
What is the most basic meaning of acceleration?The pace at which speed changes is known as acceleration. Because the path of an object's velocity is shifting even while it follows a circular course, it continues to accelerate.
What are the three categories of acceleration?The three main categories of accelerated motions are uniform, non-uniform, and average acceleration. When an item moves in a straight path with an increase in speed occurring at regular intervals of time, this motion is referred to as having uniform acceleration.
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Two objects with equal masses are in motion. which object will have more kinetic energy?
When two objects have the same momentum, the less massive one will move more quickly and, as a result, have more kinetic energy.
When two objects of equal mass are in motion, the thing moving faster will have more kinetic energy. The kinetic energy of an item in motion is inversely proportional to both its mass and the square of its velocity. As a result, an object with the same mass and speed will have twice as much kinetic energy as an object with the same mass and speed but double the speed will have four times as much kinetic energy. Therefore, a body with a light mass has higher kinetic energy due to its lower mass. The kinetic energy is greater.
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a freezer has a coefficient of performance equal to 4.0. how much electrical energy must this freezer use to produce 1.5 kg of ice at -5.0 0c from water at 15 0c?
The amount of electric energy required for water to ice conversion is 156.5 kJ.
Coefficient of Performance is, heat divided by the electric energy.
The heat required is,
m(cT1+ L +cT2)
where T1 is the temperature of water, T2 is the temperature of ice.
c is the specific heat capacity.
L is the latent heat.
Q = 1.5(4190(15)+334000+4190(5))
Q = 626 kJ
Now,
COP = Q/W
W = 626/4
W = 156.5
The amount of electric energy required is 156.5 kJ.
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How high up is a cliff with 45 kg boulder if the boulder has a potential energy of 90,000 j
The height of the cliff is 200 meter where potential energy of the boulder is measured.
What is potential energy?Potential energy in physics is the energy that an item retains as a result of its position in relation to other objects, internal tensions, electric charge, or other elements.
The gravitational potential energy of an item, the elastic potential energy of a stretched spring, and the electric potential energy of an electric charge in an electric field are examples of common types of potential energy.
The height of the cliff is = 90,000 ÷ (45 ×10) meter = 200 meter.
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a charged particle is moved between two points (we'll call them point a and point b). if the charge on the particle is 15.4 mc and it takes 53.9 j of work to move the particle between a and b, what is the magnitude of the potential difference between points a and b? (1.00 nc
If the charge on the particle is 15.4 mC and it takes 53.9 J of the work to move the particle between a and b, then the magnitude of the potential difference between points a and b is 1.2 × 10⁻³ V.
The charge to be moved in an electric field = 15.5 mC = 15.5 × 10⁻³ C
The work done = 20 J
The potential difference between the two points is as follows :
The work done = charge × potential difference
The potential difference = work done / charge
The potential difference = 20 / 15.5 × 10⁻³
The potential difference = 1.2 × 10⁻³ V
Thus, the potential difference between the two point is 1.2 × 10⁻³ V.
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at a certain distance from a fire alarm, the sound intensity level is 85.0 db . what is the intensity of this sound?
The intensity of sound or 85.0 db level is, [tex]I = 8.22 \times 10^{24} \ W/m^2[/tex].
The intensity level of a sound wave is measured in decibels (dB) and is based on logarithms with base 10. For every 10 dB increase in intensity level, the sound intensity will increase by a factor of 10. The intensity level is given by
[tex]\beta = log\(\dfrac{I}{I_0}\)[/tex]
where β is in decibels.
Use these steps, definitions, and equations to calculate the intensity level of a sound wave for the given decibel value.
[tex]I_{0} = 10^{-12}\ W/m^{2}[/tex], represents the threshold for human hearing and
I is the intensity of the sound in [tex]W/m^{2}[/tex].
Using β = 85.0 db,
[tex]85 = log\dfrac{I}{10^{-12}}[/tex]
[tex]\exp^{85} = \dfrac{I}{10^{-12}}\\I = \exp^{85} \times 10^{-12}\\I = 8.22 \times 10^{36} \times 10^{-12}\\I = 8.22 \times 10^{24} \ W/m^2[/tex]
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what would happen if the space shuttle were launched with a speed greater than earth's escape velocity? group of answer choices it would travel in a higher orbit around earth. it would take less time to reach its bound orbit. it would orbit earth at a faster velocity. it would be in an unstable orbit. it would travel away from earth into the solar system.
The Earth can be orbited by spacecraft. When an object reaches light speed, its orbit transforms into an unbounded arc known as a parabola.
What might happen if a spacecraft launched at a speed lower than its escape velocity?The Kármán line, which is 100 kilometers in altitude, is typically used as the starting point for the notion of space. A rocket will attain orbit around Earth if it travels high and fast enough to reach space but not fast enough to reach escape velocity.
How is space-time affected by speed?In relation to another item, the fourth dimension of time moves more slowly the faster you move across the three factors that make up physical space. For the twin who traveled through space, time is measured differently.
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An indicator that orients you when describing a motion is called the_____
A. time
B. Speed
C. reference point
D. point of motion
An indicator that orients you when defining a motion is called the reference point. The reference point provides a fixed framing of reference for monitoring and describing the position, velocity, and acceleration of an object.
How can you explain the use of reference point?If you are describing the motion of a car on a highway, you can use the side of the road or a specific landmark as the reference point. By using a reference point, you can determine the position, velocity, and acceleration of the car.
How can you determine an object is in motion?An object is considered to be in motion if its position changes relative to a reference point over time. There are several ways to resolve if an object is in motion like Heeding its position, measuring its velocity and observing its acceleration.
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you drop a 2 kg ball from the top of the school building, which is 10 meters high. what is the ke and pe of the ball at 5 meters?
The magnitude of the kinetic and the potential energy of the ball at 5m of the school building are both 98 Joules.
The mass of the ball is 2 kg and it is dropped from a height of 10m high school building.
The kinetic energy of the ball at the end of 5 meters will be,
KE = 1/2M(2gh)
Where,
M is the mass of the ball,
g is the gravity,
h is the height at which the energy of the ball is to be calculated,
Putting values,
KE = 0.5 x 2 x 2 x 9.8 x 5
KE = 98 Joules.
The potential energy at 5m can be calculated by using,
PE = √(Mgh)
Putting values.
PE = 2 x 9.8 x 5
PE = 98 Joules.
The potential energy and kinetic energy are equal in magnitude and that is 98 Joules.
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If a firefighter dropped a person onto the safety net, and right before the person hit the net they had a velocity of 12m/s and 1800 J of kinetic energy, then what was the mass of the person?
If a firefighter dropped a person onto the safety net, and right before the person hit the net they had a velocity of 12m/s and 1800 J of kinetic energy, then 28.70 kg was the mass of the person.
What is kinetic energy?Kinetic energy is a type of power that a moving object or particle possesses. An item accumulates kinetic energy when work, which involves the transfer of energy, is performed on it by exerting a net force. A moving object or particle has kinetic energy, which relies on both its mass and its rate of motion.
The type of motion might be vibration, rotation on an axis, translation (or travel along a path through one point to another), or any combinations of these.
E= mv²/2
m(11.2)²/2= 1800.
m(11.2)²= 3600
125.44m= 3600
m= 3600/125.44= 28.70 kg
Therefore, 28.70 kg was the mass of the person.
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find the thickness of a sheet of tin foil that measures 50.0 cm with a mass of 45.5 g. the density of tin metal is 7.25 g/cm^3
The sheet of tin foil is 50.0 cm long and has a volume of 6.3 cm^3, we can calculate its thickness as:
[tex]thickness = volume / length = 6.3 cm^3 / 50.0 cm = 0.126 cm = 12.6 mm[/tex]
What is thickness?Thickness refers to the extent of an object or substance in a direction perpendicular to its surface. It is a physical dimension that can be measured, typically in units such as millimeters (mm), centimeters (cm), inches, or microns. The thickness of an object can affect its strength, weight, and overall appearance.
To find the thickness of the sheet of tin foil, we can use the formula for density:
density = mass/volume
Since we know the density of tin metal (7.25 g/cm^3) and the mass of the sheet of tin foil (45.5 g), we can rearrange the formula to solve for the volume:
[tex]volume = mass/density = 45.5 g / 7.25 g/cm^3 = 6.3 cm^3[/tex]
Since the sheet of tin foil is 50.0 cm long and has a volume of [tex]6.3 cm^3,[/tex] we can calculate its thickness as:
[tex]thickness = volume / length = 6.3 cm^3 / 50.0 cm = 0.126 cm = 12.6 mm[/tex]
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but wait a minute! suppose i have normalized the wave function at time . how do i know that it will stay normalized, as time goes on, and evolves?
The normalization of a wave function is a property that can change over time as the wave function evolves due to the Schrödinger equation. However, it can be shown that if a wave function is normalized at one time, it will remain normalized at all later times if the Hamiltonian operator is a self-adjoint operator.
The time evolution of a wave function is given by the Schrödinger equation, which is a partial differential equation that describes the evolution of a wave function over time. The Schrödinger equation can be written as:
iℏ ∂ψ/∂t = H ψ
where ψ is the wave function, H is the Hamiltonian operator, and i is the imaginary unit. The Hamiltonian operator describes the total energy of the system and includes the kinetic and potential energy of all particles in the system.
If the Hamiltonian operator is a self-adjoint operator, it can be shown that the norm of the wave function (i.e. the square of the wave function integrated over all space) is constant in time, meaning that the wave function will remain normalized as it evolves over time. In other words, if the wave function is normalized at one time, it will remain normalized at all later times.
This property is a result of the unitary nature of quantum mechanics, which ensures that probabilities are conserved in time. The norm of the wave function represents the probability density, so if the wave function is normalized, the probabilities of all possible outcomes add up to 1.
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a railroad car of mass kg is moving with a speed of 4 m/s. it collieds and couples with three other coupled railroad cars, each of the same mass as the single car and moving in the same direction with an initial speed of 2m/s. what is the speed of the four cars after the collision? how much mechanical energy is lost in the collision?
The speed of the four cars is 2.5 m/s and the mechanical energy lost in the collision is [tex]-3.75 \times 10^4 J[/tex]
We are given the following parameters:
[tex]m_1=2.5 \times 10^4 kg[/tex]
[tex]& m_2=3 m_1 \\[/tex]
[tex]& v_1[/tex] = speed of car = [tex]4 \mathrm{~ms}^{-1} \\[/tex]
[tex]& v_2[/tex] = speed of three cars = [tex]2 \mathrm{~ms}^{-1}[/tex] .
The law of conservation of linear momentum states that in an isolated system, the total momentum of the objects before a collision is equal to the total momentum after the collision, assuming no external forces are acting on the system.
Using the law of conservation of Linear momentum, we get,
[tex]\Delta p=0 \\[/tex]
[tex]\quad p_i=p_f \\[/tex]
[tex]m_1 v_1+m_2 v_2=\left(m_1+m_2\right) v_f \\[/tex]
[tex]m_1 v_1+3 m_1 v_2=\left(m_1+3 m_1\right) v_f \[/tex]
[tex]\Rightarrow v_f=\frac{m_1\left(v_1+3 v_2\right)}{4 m_1}=\frac{v_1+3 v_2}{4} \\[/tex]
= (4 + 3*2)/4
[tex]v_f=2.5 m/s[/tex]
Now, the loss in mechanical energy can be found by,
[tex]\Delta k=k_f-k_i[/tex]
Substituting the energies we get,
[tex]\Delta K & =\frac{1}{2}\left(m_1+3 m_1\right) v_f^2-\left[\frac{1}{2} m_1 v_1^2+\frac{1}{2} 3 m_1 v_2^2\right] \\[/tex]
[tex]& =\frac{1}{2} 4 m_1 v_f^2-\left(\frac{1}{2} m_1 v_1^2+\frac{3}{2} m_1 v_2^2\right)[/tex]
Therefore,
[tex]\Delta k & =\frac{1}{2} 4\left(2.5 \times 10^4\right)(2.5)^2-\left(\frac{1}{2} \times 2.5 \times 10^4 \times 4^2+\frac{3}{2}\left(2.5 \times 10^4\right)(2)^2\right) \\[/tex]
[tex]\Delta K & = -3.75 \times 10^4 J[/tex]
Hence, the speed of the four cars is 2.5m/s and the mechanical energy lost in the collision is [tex]-3.75 \times 10^4 J[/tex]
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The complete question is -
A railroad car of mass [tex]2.5 \times 10^4[/tex] kg is moving with a speed of 4 m/s. it collides and couples with three other coupled railroad cars, each of the same mass as the single car and moving in the same direction with an initial speed of 2m/s. what is the speed of the four cars after the collision? how much mechanical energy is lost in the collision?
a charge of 8.34 nc is placed on a solid conducting sphere of radius 2.3 m. what is the electric field magnitude a distance of 2.2 m from the sphere's center?
A charge of 8.34 nc is placed on a solid conducting sphere of radius 2.3 m. the electric field magnitude a distance of 2.2 m from the sphere's center is 1.55 x 10^5 N/C.
Here we calculate the electric value by using the formula for the electric field of a point charge which is E = (Q)/(4πε0 x (r)2), out of where Q is the charge, ε0 is the permittivity of free space, and r is the distance from the point charge. We then substitute the given values of charge and radius into the equation in order to get the electric field.
Next, we took the inverse square of the result, which gave us the electric field at a distance of 2.2 m from the center of the sphere. The magnitude of the electric field at this distance is 1.55 x 10^5 N/C.
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parallel-plate capacitor: an ideal parallel-plate capacitor has a capacitance of c. if the area of the plates is doubled and the distance between the plates is halved, what is the new capacitance?
The capacitor of parallel plate capacitor will remain same if, area of the plates is doubled and the distance between the plates is halved.
Capacitance for parallel plate capacitor is given by,
C = ∈ × A × d
Where, A is the area of each plate,
d is the distance between the plates,
and ϵ is the permittivity of the material between plates of parallel capacitor.
In this case the Area is doubled, and distance between plates is halved.
The new Capacitor is,
C' = ∈ × 2A × d/2
C' = ∈ × A × d
C' = C
The capacitance will remain the same.
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a plane is located on radar by an air traffic controller. what are the magnitude and the direction angle of the vector from the airport to the plane?
The magnitude and the direction angle of the vector from the airport to the plane are 7.93 and 34° respectively.
A vector's orientation, or the angle it creates with the x-axis, determines its direction.
Direction of the vector can be given by using the formula:
θ = [tex]tan^{-1}[/tex] [tex]\frac{b}{a}[/tex]
Magnitude of the vector can be given by using the formula:
[tex]\sqrt{a^{2} + b^{2} }[/tex]
As per the question,
Position vector = (6, 5.2)
Now, the magnitude of the position vector = [tex]\sqrt{6^{2} + (5.2)^{2} }[/tex], which comes out to be 7.93.
Next, direction angle of the vector:
[tex]tan^{}\alpha[/tex] = [tex]\frac{6}{5.2}[/tex]
[tex]tan^{} \alpha[/tex] = 1.15
[tex]\alpha[/tex] = [tex]tan^{-1}(1.15)[/tex] = 56°.
The direction angle of the vector, θ = 90 - 56 = 34°.
A geometrical entity with both magnitude and direction is a vector. A vector's magnitude is determined by its length. It summarises the numerical value of the vector. The magnitude of a vector is always positive. Things like velocity, displacement, momentum, force, etc. are examples of vectors. In the case of a three-dimensional vector, the measurements made along the x, y, and z axes are combined.
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Complete question is:
a plane is located on radar by an air traffic controller. what are the magnitude and the direction angle of the vector from the airport to the plane? Refer the image for a complete question.
two small charged particles, 1 and 2, are separated by 0.1mm. if the charge is tripled on both particles, how does the force by particle 1 on particle 2 change?
Integral multiple copies of e are used to quantify charge in any common material. While electrons carry one unit of negatively charged, e, protons carry one unit of positively charged, +e.
It's sometimes referred to as an electron, right?
The word "electron" now refers to
Visit the following to learn more about electrons:
cathode ray particles with negative charges. The minuscule electrons are negatively charged particles with very little mass. The mass of an atom is made up of both protons and neutrons.
We can now use the ideal gas law to calculate each partial pressure:
PHe=nHeRTV=81.54mol×0.08206atm⋅Lmol⋅K×293.15K10.0L=196.2atm
PO2=nO2RTV=1.60mol×0.08206atm⋅Lmol⋅K×293.15K10.0L=3.85atm
The total pressure is formed by adding the two component pressures:
Ptot=PHe+PO2=(196.2+3.85)atm=200.1atm
Any common material's charge is quantified in scale item e. A proton has one positive charge, +e, wh
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a car on a roller coaster loaded with passengers has a mass of 2.1 x 103 kg. at the lowest point of the track, the radius of curvature of the track is 24 m and the roller car has a tangential speed of 17 m/s. what is the centripetal acceleration of the roller car at the lowest point on the track?
The required centripetal acceleration of the roller car at the lowest point on the track is calculated to be 12.04 m/s².
Mass of the roller coaster is given as 2.1 × 10³ kg.
The track's radius of curvature is 24 metres.
Tangential speed is 17 m/s.
Equation of force is known to be, F = m a
F n - F g = m v²/r
F n = m ( v²/r + g)
F n = 2100 (17²/24 + 9.8) = 45,867.5 N
Centripetal acceleration is ac = v²/r = 17²/24 = 12.04 m/s²
Thus, centripetal acceleration of the roller car is calculated to be 12.04 m/s².
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what would be the height of a column of mercury (in mm) in a manometer for this pressure? the density for mercury is 13600 kg/m3
The height of a column of mercury (in mm) in a manometer for this pressure if the density for mercury is 13600 kg/m3 will be 20 mm.
The height of a column of mercury in a manometer for a given pressure can be calculated using the equation:
ΔP = ρgh
where:
ΔP = the pressure difference between the two arms of the manometer
ρ = the density of mercury
g = the acceleration due to gravity
h = the height of the mercury column
Assuming that the pressure is given in Pascals (Pa), the equation can be rewritten as:
h = ΔP / (ρg)
Since the density of mercury is given in kg/m3, we first need to convert it to kg/mm3:
ρ = 13600 kg/m3
= 13600 kg / (1000 mm)3
= 0.0000136 kg/mm3
The acceleration due to gravity is approximately 9.81 m/s2, which is equivalent to 0.00981 mm/ms2. Therefore:
h = ΔP / (ρg)
= ΔP / (0.0000136 kg/mm3 x 0.00981 mm/ms2)
= 8977.5 x ΔP
= 8977.5*2.6737
~ 20 mm
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Please answer by 8:30, thank you so much!
Answer:
I think it's A (The Ovaries)
when capacitors are connected in parallel, they have the same dielectric. separation. charge. voltage. surface area.
The voltage, charge, and surface area of parallel-connected capacitors are identical.
Two plates make up a parallel plate capacitor, which is divided by a thin layer of insulating material called a dielectric. Charge is always conserved in a capacitor, and it will flow to keep the potential constant. Each capacitor has the same voltage V across its plates because they are all linked in parallel. However, the amount of charge that each capacitor in the parallel network can hold may vary. Equivalent coulomb charges will always be present across the plates of two or more capacitors connected in series. Greater capacity to hold electric charge is offered by larger plates. Consequently, capacitance rises as plate area increases.
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the power needed to accelerate a projectile from rest to its launch speed v in a time t is 36.0 w. how much power is needed to accelerate the same projectile from rest to a launch speed of 2v in a time of
So 144.0 W is required to accelerate the identical projectile from rest to a launch speed of 2v in time t.
What is projectile?Projectile motion is the motion of an item hurled or projected into the air that is only affected by gravity's acceleration. The item is known as a projectile, and its course is known as its trajectory. Projectile motion is a type of motion in which an item follows a parabolic path. The route taken by the item is referred to as its trajectory. When a force is applied at the start of the launch trajectory, projectile motion begins (after this the projectile is subject only to the gravity).
Here,
The power required to accelerate a projectile is given by the equation:
P = m * a²/t
where m is the mass of the projectile, a is its acceleration, and t is the time it takes to reach the desired speed. The launch speed, v, is related to acceleration, a, by the equation:
v = a * t
So we can substitute v = a * t into the first equation to get:
P = m * v²/t
If we want to find the power needed to accelerate the projectile from rest to a launch speed of 2v in a time of t, we can plug in v = 2 * v and solve for P:
P = m * (2 * v)² / t = 4 * m * v² / t
Since we know that the power needed to accelerate the projectile from rest to its launch speed v in a time t is 36.0 W, we can substitute that into the above equation to find the power needed to accelerate the projectile to a launch speed of 2v:
P = 4 * m * v² / t = 4 * 36.0 W = 144.0 W
So the power needed to accelerate the same projectile from rest to a launch speed of 2v in a time of t is 144.0 W.
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sound is a longitudinal wave, and its speed depends on the medium through which it propagates. in air, sound travels at 343 m/s . in an experiment, you observe a sound with a frequency of 700 hz and a wavelength of 5.8 m . what is the speed of sound in this different medium?
The speed of sound in the new medium is 4060 m/s, which is far faster than the speed of sound in air (343 m/s).
The following equation may be used to compute the speed of sound in a medium
Frequency * Wavelength = Speed
where frequency is the number of complete cycles of a wave that pass over a specific spot in one second and wavelength is the distance between two consecutive wave peaks or troughs.
The frequency of the sound in the provided experiment is 700 Hz, and the wavelength is 5.8 m. When we plug these numbers into the following equation, we get:
700 Hz multiplied by 5.8 m equals 4060 m/s.
As a result, the speed of sound in this new medium is 4060 m/s, which is far faster than the speed of sound in air (343 m/s).
This discrepancy in sound speed can be related to variances in the physical qualities of the medium, such as density, temperature, and pressure, all of which influence sound speed. The speed of sound in a medium is directly related to its elastic modulus (a measure of the medium's stiffness) and inversely proportional to its density. In other words, the speed of sound is faster in a stiffer and denser medium, whereas it is slower in a less dense and more flexible medium.
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two protons in the helium nucleus are about 10^15m apart. calculate the electrostatic force exerted by one proton on the other
In the helium nucleus, there are two protons. An electric force exerted on two proton is 2.30 10–26 N in strength.
How is the force exerted by two charged particles calculated?According to Coulomb's law, the force F among 2-point charge, q1 and q2, that are separated by the a distance r is calculated as F=k|q1q2|r2. k=8.988109Nm2C28.99109Nm2C2. Although Coulomb's law has a straightforward formula, proving it wasn't an easy feat.
How strong is the electric force between two people?The Coulomb energy or Coulomb interactions is another name for the electrostatic force. It is the force that pulls or attracts two electrically charged things together. While opposite charges attract one another, like charges repel one another. To determine the resultant force between two charges, utilize Coulomb's law.
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at the surface of a certain planet the gravitational acceleration g has a magnitude of 13.1 m/s2. a 17 kg brass ball is transported to this planet. what is the mass of the brass ball on earth? what is the mass of the brass ball on the planet? 222.7
The mass of the brass ball is 288 N on planet and 235.2 N on Earth.
The force of gravity caused by the Earth on the ball is the gravitational attraction between the Earth and a ball that is placed at the surface of the Earth.
This force's magnitude is indicated as follows:...
Here, m is the object's mass and g is the acceleration brought on by gravity on Earth.
The weight of the thing on Earth determines the gravitational force that exists as a result.
The brass ball weighs 17 kg, or m.
The gravitational acceleration at a certain planet is equal to.
The magnitude of the Earth's gravitational acceleration is,
The position or placement of an object has no bearing on its mass. Consequently, the quantity of brass The mass of the brass ball on the Earth is identical to the mass of the brass ball on the planet, which is 17 kg, therefore the ball will remain the same on both the Earth and the planet.
Therefore, the brass ball has a mass of 17 kg both on Earth and throughout the planet.
The brass ball weighs the following on Earth:
The metal ball's mass in relation to the earth is:
Put the values into the box to get:
As a result, the brass ball weighs 288 N on planet and 235.2 N on Earth.
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two billiard balls collide. identify the type of collision ________
Two billiard balls collide, the type of collision is Elastic collision.
What is elastic collision?An elastic collision is a collision that has no loss in kinetic energy in the system as a conclusion of the collision. Both parameters that momentum and kinetic energy are conserved quantities in elastic collisions that is the net result is zero. Consider two alike trolleys moving toward each other at the same speed.
Two billiard balls collide with each other and then move separately after the collision. Two billiard balls of the same mass are moving straight toward each other at a similar speed. They meet each other head-on in an elastic collision. An elastic collision occurs between two bodies in which the total kinetic energy of the two bodies will be the same.
So we can conclude that elastic collision is the collision between two billiard balls.
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