(03.03 mc)when two mechanical waves have a displacement in opposite directions, and they overlap, what will the resulting wave look like and why?

The pressure difference between the wide and narrow sections of the pipe is 12.675 kPa.  

Fluid pressure is the size of the force in keeping with a unit place on an object inside the fluid or on the surface of a closed field. This pressure may be resulting from gravity, acceleration, or by means of forces outside a closed container. in view that fluid has no specific shape, its pressure applies in all directions.

Pressure is defined as pressure carried out in line with the unit vicinity. Mathematically it is given by way of, P=FA. wherein F is the pressure performing perpendicular to the surface place A. the same old unit of pressure is the pascal (Pa), equivalent to at least one newton according to meter squared (N/m 2 ).

A1 v1 = A2 v2 ;

v1 / v2 = A2 / A1 ;

1.3 / v2  = ( 2 / 4 ) ^2    ; since area is proportional to diameter square :

v2 = 5.2 m /s  

Using bernouli principle ,

P1 + ρ v1^2  / 2 = P2 + ρ v2^2 / 2 ;

P1 + 1000 * 1.3^2 / 2  = P2 + 1000 * 5.2^2 / 2 ;

 ΔP = 12675 Pa  

or  ΔP = 12.675 kPa  

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The number of turns this solenoid contains is 4422 turns.

The magnetic field is the location around a magnet wherein the effect of magnetism is felt. We use the magnetic subject as a device to explain how the magnetic force is distributed inside the space around and within some thing magnetic in nature.

The Earth's magnetic field does now not directly affect human health. human beings advanced to live on the earth. high altitude pilots and astronauts can experience higher degrees of radiation for the duration of magnetic storms, however, the risk is due to the radiation, no longer the magnetic area itself.

Magnetic fields are produced via transferring electric powered fees. the entirety is made up of atoms, and every atom has a nucleus fabricated from neutrons and protons with electrons that orbit around the nucleus. for the reason that orbiting electrons are tiny moving costs, a small magnetic field is created around every atom.

Calculation:-

B = uNI/L

⇒ 339 = (4pi X 10^-7)(6.71)(N)/.11

⇒ N = 4422 turns

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The ratio of kinetic energy of colliding bodies before and after collision is 9:1

Kinetic energy refers to be the energy that an object possesses due to its motion. It is defined as the work required to accelerate a body of specified mass from rest to a specified velocity. After the body acquires this energy during acceleration, it retains this kinetic energy as long as the velocity does not change.

Kinetic energy of the body before collision (KE₁): ¹/₂ mv²

Velocity (v') after collision:

v' = [(m₁ - m₂)/(m₁ + m₂)] v

Since, m₁ = 2m

m₂ = m

Substitute the values in the formula:

v' = [m/3m]v

v' = v/3

Now, kinetic energy after collision (KE₂):  ¹/₂ mv'²

=  ¹/₂ m(v/3)²

=  ¹/₂ m(v²/9)

Now the ratio of kinetic energies:

KE₁ / KE₂ = (¹/₂ mv²) / (¹/₂ m(v²/9))

KE₁ / KE₂ = 9/1

Or 9:1

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A diverging lens has a focal length that has a magnitude of 33.0 cm. an object is placed 21.0 cm in front of this lens. The magnification will be  -12.833 cm

diverging lens = concave lens

focal length = - 33 cm

u = - 21 cm

magnification = image distance / object distance

using lens formula

1/v - 1/u = 1/f

1/v = 1/f + 1/u

    = 1/-33 -1/21

v   = -12.833 cm

A diverging lens has a focal length that has a magnitude of 33.0 cm. an object is placed 21.0 cm in front of this lens. The magnification will be  -12.833 cm

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a) Acceleration is calculated as 29.54 m/s^2

b) Time required to stop is calculated as 2.27 seconds

The rate of change of the velocity of an object with respect to time is called as acceleration and it is a  vector quantity. Acceleration is the rate at which velocity changes with time in terms of both speed and direction. An object moving in a straight line is accelerated if it's speed goes up or down.

Given, speed = 150 mph

1mph = 0.447 m/s

150mph = 67.056 m/s

and distance = 500 ft

1ft = 0.30 m

500 ft= 152.4 m

time=  distance / speed

= 152.4/ 67.056

=  2.27 sec

Acceleration= velocity/ time

= 67.056/2.27

Acceleration = 29.54 m/s^2

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The output force increases by a factor of F2 = 14, 148. 207 N.

Solution:

To find fr let's plug in the value of Fr, Yi¹ Ye in Og f¹

825/(8.51)² = f₂/(33.6)²

F2 = 14, 148. 207 N

The force which is applied to an object by another object. A person pushing a barrel is an example of applied force. When the person pushes the barrel then there is an applied force acting upon the barrel. An applied force is a force that is applied to an object by a person or another object.

If a person is pushing a desk across the room then there is an applied force acting upon the object. The applied force is the force exerted on the desk by the person. Applied forces can be broadly divided into two types: contact and non-contact forces. Contact forces are those where the interaction between two or more objects occurs while the objects are in physical contact, whereas non-contact forces exist between objects that are not in physical contact.

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The net force acting on the metal disk is equal to 1 Newton.

According to the third law of motion proposed by newton,

Each and every action of force has an equal and opposite reaction force.

This reaction force will be equal in magnitude of the action force but will be in the opposite direction.

So, here in this case, the metal disk is balanced on the top of the glass.

The metal disk is applying a force of one Newton on the glass. So, the glass will also apply an equal force on the metal disk,

This net force working on the disk is called the normal force, so the net force on the metal disk is 1 Newton.

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Electronegativity is the ability of covalently bonded atom to attract the shared electrons .

What is covalent bond ?

Covalent bond, in chemistry, an interatomic bond formed by sharing a pair of electrons between two atoms. Bonding occurs through the electrostatic attraction of atomic nuclei to the same electrons. A covalent bond is formed when the combined atoms have a lower total energy than the atoms separating them. Covalently bonded molecules include the inorganic substances hydrogen, nitrogen, chlorine, water, and ammonia (H2, N2, Cl2, H2O, NH3) and all organic compounds. In structural representations of molecules, bonds are indicated by solid lines connecting pairs . Covalent bonds are directional. That is, the bonded atoms prefer a particular orientation to each other. This gives the molecule a particular shape, like the angled (bent) structure of the H2O molecule.

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Explanation:

maximum height to which the stone can reach is 80 m

h=80

total distance = 2h

= 160 m

The total distance travelled by the stone would be the distance it covered while moving up and then the distance it covered while coming back down.

The coefficient of static friction between the penny and the durcae of the turntable is 11.9.

The mass of the penny on the turntable rotating at 33 rpm is 2.5 grams. The penny was found to be located at a distance of 10cm from the center of the turntable.

Now, friction force on the penny will be.

Fr = uW

W is the weight of the penny,

u is the coefficient of friction.

The centripetal force on the penny will be,

F = Mw²r

m is the mass of penny,

w is the angular speed,

r is the distance of the penny from the center.

Now, if the penny stops,

Fr = F

so, we can write,

uW = Mw²r

Putting values,

u(2.5 x 10) = 2.5 x (3.45)² x 0.10

u = 11.9

The value of the coefficient of static friction between the penny and the surface of the turntable is 11.9.

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The work that is needed to be done to stop the car is 419.96 KJ

Work in physics is the amount of energy given to move an object or objects.

We have,

The mass of the car, m = 900 kg

The initial velocity of the car, v₀ = 110 km/h  = 30.55 m/s

Since the vehicle has to be stopped, the final velocity will be v' = 0.

Now, we know that

The work done to stop the car will be = Kinetic energy possessed by the car

W = Δ K.E

W = [Final K.E.] – [Initial K.E.]

= ½ (m) {(v')² - (v₀)²]  

Substituting the given values in the above formula, we get

= ½ (900) {(0)² - 30.55)²]

=  (450) (933.30)

= 419,986.12 J = 419.96 KJ

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What is path?

However, The body's actual path length between its initial and final positions is known as the path length.

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The angular momentum of the rod and masses system is  2.5 ms.

Angular momentum is the rotational analog of linear momentum. it is an essential bodily quantity due to the fact it is a conserved amount—the entire angular momentum of a closed device remains constant. Angular momentum has both a route and a value, and both are conserved.

Angular momentum is defined as The property of any rotating item given via second of inertia instances angular velocity. it's far the property of a rotating frame given with the aid of the made of the instant of inertia and the angular pace of the rotating item.

Calculation:-

The moment of inertia of the system about the basics is,

I e mos + (2m) [2 = me+ 2m22 3

= 7(0-0819) 0.6m) 2

= 0.0672 LG. ma ✓

= 2.5 ms

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The total inductance of inductors connected in series is equal to the sum of the inductances of the individual inductors.

Briefing:

The amount of voltage dropped across an inductor for a specific rate of current change through it is the undisputed indicator of inductance.

The total voltage reduced as a result of a change in current will be additive with each inductor if inductors are linked in series (sharing the same current and experiencing the same rate of change in current), resulting in a higher total voltage than either of the individual inductors alone. Greater inductance results from higher voltage at the same rate of current change.

As a result, the overall inductance of a series of inductors is greater than the sum of the inductances of each individual inductor. Similar to how series resistances are calculated, the series total inductance formula takes the same form:

L(total) = L1+L2+L3….Ln

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Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force. This tendency to resist changes in a state of motion is inertia.

A force is an effect that can alter an object's motion according to physics. When a mass-containing object increases its velocity, such as when it travels away from rest, a force can cause it to accelerate. A push or a pull is a straightforward method to explain force.  

A force is a vector quantity since it has both magnitude and direction. It is calculated using the newton SI unit (N). Force is denoted by the letter F. (formerly P).

The net force acting on an object is equal to the rate at which its momentum changes over time, according to Newton's second law in its original formulation.

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When the ball is at its lowest point, the tension in the string is greater than the ball's weight.

Stretching, stretching behaviour, or the state of being stiffly stretched. muscle tensing: stress perception 1b. : one or both of two counteracting forces that induce or tend to cause extension.

Compression force's opposite is tension. All of the things in the scene that are in contact with one another apply forces to one another. The best demonstration of a tension force is when a rope is being pulled. The rope builds up a lot of tension when a pull force is applied to it.

The pressure inside a vessel, such as the pressure in the blood vessels (blood pressure). For instance, hypertension is the medical term for high blood pressure. Stress, particularly when it manifests as tensed scalp muscles, bottled-up emotions, or anxiety.

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The greater the number of samples captured, the more detail about where the waves rise and fall is recorded

What happens if the sample frequency is increased?

The greater the number of samples captured, the more detail about where the waves rise and fall is recorded, and the higher the audio quality. Furthermore, the form of the sound wave is more precisely represented. What factors influence sampling frequency.

The sampling frequency or sampling rate, fs, is the average number of samples obtained in one second, so fs = 1/T. Its units are samples per second or hertz, for example. 48 kHz equals 48,000 samples per second.

The greater the number of samples captured, the more detail about where the waves rise and fall is recorded, and the higher the audio quality. Furthermore, the form of the sound wave is more precisely represented.

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Brain waves that are lowest in frequency and highest in amplitude are called delta waves.

Brain waves such as alpha waves or delta waves refer to the oscillations in the electrical differential of potential from different parts of the brain, which occur as a differential due to the action that an individual is making and it may indicate the brain areas working in a particular activity such as sleep.

Therefore, with this data, we can see that brain waves depend on the differential electrical potential that produces oscillations in the brain in response to the activity of different parts of our brain.

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The amount of work done by denise to drag her basket of laundry of mass 5 kg is 75 J.

Work is defined as the product of distance and force.

To calculate the amount of work done by denise to drag the basket, we use the formula below.

W = Fd cosθ

where, W is the work done by the denise

F is the force applied to the basket

d is the distance

θ is the angle made with the horizontal

Given that, F = 30 N

d = 5 m

θ = 60°

Substituting the values in the above equation,

W = 30* 5* cos 60° = 75 J

Thus, work done by the denise is 75J.

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Answer:

Explanation:

Missing drawing!

The time taken to finish the race by using uniform motion is 120 /v seconds.

We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.

From the question above, we know that

s = 20 m

x = 100 m

vo = 0 m/s

Assume that the final velocity is v

vt = v m/s

Find the time needed to reach the velocity

s = vo . t + 1/2 . a . t²

20 = 0.t + 1/2 . v/t . t²

20 = v . t/2

t = 40 / v seconds

remaining distance = x - s

remaining distance = 100 - 20 = 80 m

remaining time = remaining distance / v

remaining time = 80 / v

Find the time taken to finish all of the race

total time = t + remaining time

total time = 40/v + 80/v

total time = 120 /v seconds

where v is the terminal velocity.

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2.5 J work will be required to stretch it an additional 4.0 cm.

Work done is elaborated in such a manner that it consists of each force exerted on the frame and the full displacement of the frame. This block is preceded by using a regular force F. The purpose of this pressure is to transport the body a certain distance d in an immediate course inside the path of the pressure.

The work is stated to be accomplished while force is implemented on an object's movements via a distance within the route of the utility of pressure. Scientists use the joule to measure work. One joule is the same as the paintings achieved by way of a force of one newton to move an item one meter in the path of the force.

Calculation:-

Work done is inversely proportional to the distance,

W₁/W₂ = L₂/L₁

W₂ = W₁L₁/L₂

      = 5 × 2 /4

       = 2.5 J

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Answer:

the number of protons (atomic number) determines the chemical properties of the atom

Explanation:

Answer:

The number of protons in an atom determines its chemical properties.

Explanation:

An atom is composed of a nucleus and electrons that go around it. The nucleus is composed of protons with a positive charge and neutrons without charge, and the number of protons (atomic number) determines the chemical properties of the atom (element type)

The approximate frequency is 9.96 × ³³ s-1

Solution:

Hypothetical wave energy = 6.6 J

Hypothetical wave frequency =?

E = HV  

v = E / h          

Where,

E = energy in joules

h = plank's constant & = 6.626 × 10-34 J.s

v = frequency in s-1

On substituting the values in the above formula :

v = E / h

v = 6.6 J / 6.626 × 10-34 J.s

v = 0.996 × 1034 s-1

v = 9.96 × 1033 s-1

Hence hypothetical wave frequency is = 9.96 × 10³³ s-1.

Count the markers to determine the frequency of each class. The relative frequency of a data class is the percentage of data items in that class. A joule is a unit of energy in the International System of Units. This is the work done when a force of 1 Newton displaces a mass 1 meter in the direction of the applied force.

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Answer:

Explanation:

The interstellar gas cloud will remain in hydrostatic equilibrium as long as the kinetic energy of the gas pressure is in equilibrium with the potential energy of the internal gravitational force.

To maintain equilibrium, the potential gravitational energy must be twice the internal thermal energy. If the cloud is so massive that the gas pressure is insufficient to maintain it, the cloud undergoes gravitational collapse.

Using the theories of centripetal acceleration, we got that 9.388 sec after the starting  magnitude of its centripetal acceleration equal to the tangential acceleration.

We know that centripetal acceleration is given by =v²/r,

where v is the velocity along curved road and r is the radius of the curved road.

We have from the question, Acceleration (a) = 1.7m/sec²

Radius(R) = 150 m

Therefore,  

a=v²/r

=>1.7=v²/150

=>v²=1.7×150

=>v²=255.0

=>v = 15.96 m/sec

Now, we know that the formula for tangential acceleration is the product of acceleration and its time ,which means

v = a x t

15.96 = 1.7 x t

t = 9.388 sec.

Hence, if the car speeds up at a steady 1.7 m/s2 , the time  after starting when the magnitude of its centripetal acceleration equal to the tangential acceleration is 9.388 sec

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Capacitance is the ability of an electrical conductor and insulator system to store electric charge when there is a potential difference between the conductors.

Capacitance is 3.54×[tex]10^{-9}[/tex] F,  energy stored is [tex]2*10^5NC^{-1}[/tex].charge on each plate is 3.54×[tex]10^{-6[/tex] C.

a parallel - plate capacitor are 5mm apart and 2m² in area.

potential difference = 1k

d=5×[tex]10 ^ {-3}[/tex]m,

A=2[tex]m^2[/tex],

V=1000 volt,

Capacitance,  C=∈[tex]_0\frac{A}{d}[/tex]

=(8.85×[tex]10^{-12}[/tex]×2)/5×[tex]10^{-3}[/tex]

=3.54×[tex]10^{-9}[/tex] F

charge on each plate , q=CV=3.54×[tex]10^{-9}[/tex]×1000

=3.54×[tex]10^{-6[/tex] C

energy stored ,E=σ/∈0

=Q/(A∈0)

=(CV)/(A∈0)

=[tex]\frac{3.54*10^{-9}*1000}{2*8.85*10^{-12}}[/tex]

=[tex]2*10^5NC^{-1}[/tex].

Capacitance is 3.54×[tex]10^{-9}[/tex] F,  energy stored is [tex]2*10^5NC^{-1}[/tex].charge on each plate is 3.54×[tex]10^{-6[/tex] C.

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In order to generate a torque of 2.5 n-m , 3.125 N force must be applied at a perpendicular distance of 0.8 m from the axis of rotation

torque = Force * distance from the axis of rotation

given

torque = 2.5 Nm

distance from the axis of rotation (d) = 0.8 m

Force = torque / d = 2.5 / 0.8 = 3.125 N

In order to generate a torque of 2.5 n-m , 3.125 N force must be applied at a perpendicular distance of 0.8 m from the axis of rotation

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674.25 A current is flowing along the funnel of tornado.

All known magnetic fields are due to current charges (or charges in motion). A wire carrying current produces a magnetic field due to the movement of charges within the conductor. Magnetic field lines around a long wire carrying current form concentric circles around the wire.

Assuming the vortex was a long, straight wire carrying a current,

Magnetic field (B) = 1.55 × 10⁻⁸ T

Radius of tornado (R) = 8700 m

Current in the funnel (I) = ?

For a current carrying straight conductor:

∫BΔL = μ₀I

B(2πr) = μ₀I

I = B(2πr)/μ₀

μ₀ = 4π × 10⁻⁷ H/m

I = 1.55 × 10⁻⁸ (2×3.14×8700)/4π × 10⁻⁷

I = 674.25 A

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The speed of water flowing from a hole at the bottom of a very wide, 6.2- m -deep storage tank filled with water is 11.29 m / s

v = √ 2 g h

v = Speed of water

g = Acceleration due to gravity

h = Height

g = 9.8 m / s²

h = 6.2 m

v = √ 2 * 9.8 * 6.5

v = √ 127.4

v = 11.29 m / s

This is derived from an equation of motion,

v² = u² + 2 a s

v = Final velocity

u = Initial velocity

a = Acceleration

s = Distance

u = 0

v² = 2 a s

v = √ 2 a s

Therefore, the speed of water flowing from a hole at the bottom of a very wide, 6.2- m -deep storage tank filled with water is 11.29 m / s

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