as a participant in a research study, jolan is required to report what he is doing and how he is feeling using a smartphone app when he receives an alert. he receives alerts at two random times each day. jolan is most likely participating in research.

Momentum's conservation:

m1 v1 + m2 v2 + m3 v3 = 0 (vectors)

X axis : m2 v2 + m3 v3x = 0

v3x = - m2 v2/m3

Y axis : m1 v1 + m3 v3y = 0

v3y = - m1 v1/m3

m3 = m - (m1 + m2) = 1.92*10^-26 - (5.02 + 8.5)*10^-27 = 5.68*10^-27 kg

So :

v3x = - 5.98*10^6 m/s ;

v3y = - 5.30*10^6 m/s

(a) The vector v3 = - (5.98 i + 5.30 j)*10^6 m/s

(b) The total kinetic energy is:

Ek = (1/2)(m1 v1^2 + m2 v2^ + m3 v3^2)

Ek = 3.40 * 10^13 J

Velocity can be notion of as the rate at which an object covers distance. A quick-moving object has a high speed and covers a notably big distance in a given amount of time, whilst a sluggish-shifting item covers a relatively small amount of distance in the same amount of time.

The primary unit or the S.I. unit of velocity is m/s or ms?¹.

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The amount of labor required by a pump to raise 5 m3 of water 20 meters and force it into the main at such a pressure head of 150 kpa is 1.73×10⁶ J.

Force applied across a distance is called work. Example of effort include dragging down a trapped helium balloon, driving down a hill, and lifting an item against the gravitational attraction of the Earth. Energy manifests mechanically as work. The joule (J), and coulomb (N m), is the accepted work unit.

W= (Effort to raise water) + ( Work to push it in )

= mgh+PΔV

W = (5.00 m³)(1000 kg/m³)(9.81 m/s²)(20.0 m)+(1.50×10⁵ N/m²)(5.00 m³)

=1.73×10⁶ J.

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The same change in potential energy will be produced by each of these actions because they all move a roller coaster car by the same amount of space.

What is potential energy, exactly?

Due to its position, an object has the ability to store energy. The bow has no energy stored when it assumes its normal position. The bow can yet store energy when its position is changed from its normal equilibrium position because of its position. Potential energy is the energy of position that a thing has stored inside it.

Because the train is moving against the magnetic pull, the potential energy is increased. However, because the magnets in the system are unchanged, the potential energy is unaffected. Engineer is testing two identical magnetic roller coaster vehicles on either side of a stationary center magnet.

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When a metal car is struck by lightning, the resulting electric field inside the car is zero.

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The resistance of the resistor in this circuit is 82.31 Ohms

We would first have to solve for the angular frequency

ω = 2π* f

f = 180 hz

= 2* 3.14 * 180

= 1130.4

Next we would have to solve for the  Inductive reactance XL = ω* L

= 1130.4 * 0.027

= 30.52

The current is

3.2 v / 30.52

= 0.1048

Impedance Z = V/ I

9.2 v / 0.1048

= 87.79

To get the resistance we would have to use

Z² = (R² + XL²)

87.79² = R² + 30.52²

R²  = 87.79² - 30.52²

= 7707.08 - 931.47

= 6775.6

R = √6775.6

= 82.31 ohms

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The answers to these questions are:

Therefore, Two identical blocks are pushed up frictionless .

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If a ceiling fan's 18-inch blades rotate at a rate of 45 revolutions per minute, its linear speed in feet per hour would be 5400 rad per hour.

Thus, the angular speed times the distance r gives the linear speed of a point on the object. The units of measurement are meters per second and meters per second. where = speed in radians/sec

The pace at which the object rotates is its angular speed, which is measured in rotations per minute, degrees per minute, radians per hour, etc. The linear speed is the rate at which a point on the edge of an object moves in a circle around the item's center.

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19600N[tex]m^{2}[/tex] is the total pressure near the bottom of the pool as per the given data in the statement.

Pressure:  The perpendicular force applied to surface of any object tending to be distributed per unit area is known as pressure.

According to the given data :

length of the pool = 22m

breadth of the pool =8.5 cm=0.085 m

depth =2 m

To find the pressure near the bottom of the pool we use the following formula

P=hpg, where h=height or depth, p= density of liquid and g= 9.8m/s

P=2*1000*9.8

P=19600N[tex]m^{2}[/tex]

Hence, 19600N[tex]m^{2}[/tex] is the total pressure near the bottom of the pool as per the given data in the statement.

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19600N[tex]m^{2}[/tex] is the total pressure near the bottom of the pool as per the given data in the statement.

Pressure:  The perpendicular force applied to surface of any object tending to be distributed per unit area is known as pressure.

According to the given data :

length of the pool = 22m

breadth of the pool =8.5 cm=0.085 m

depth =2 m

To find the pressure near the bottom of the pool we use the following formula

P=hpg, where h=height or depth, p= density of liquid and g= 9.8m/s

P=2*1000*9.8

P=19600N[tex]m^{2}[/tex]

Hence, 19600N[tex]m^{2}[/tex] is the total pressure near the bottom of the pool as per the given data in the statement.

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The square of the distance between the two charges has an inverse relationship with the force's size. As a result, when the gap between two charges is doubled, the attraction or repulsion weakens and drops to one-fourth of its initial strength.

An object's push or pull is seen as exerting a force. The interaction of the objects produces push and pull.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.

A spring balance can be used to calculate the Force. Newton is the SI unit of force (N).

The interaction between two or more comparable or similar charges to produce force. Repulsion between similar charges occurs. Charges that resemble one another separate from one another. Chemical bonding involves repulsive forces.

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Force of friction is 0.167

The force preventing sliding against one another of solid surfaces, fluid layers, and material components is known as friction.

Things can move more slowly and become immobile when there is friction. In a world without friction, more things would slide around, it would be challenging to keep shoes and clothing on, and it would be extremely challenging for people or cars to move or turn.

According to the given information :

Mass=10 kg

Initial velocity(u)=20m/s

F=−μN

ma=−μmg

a=−μg

Distance travelled force coming to rest=30m

v²−u²=2as

0²−u²=2as

−u²=−2μgs

μ=(10)²/2×10×30=1/6=0.167

μ=0.167

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If it takes 4.0 N to stretch a spring 6.0 cm and if the spring is then cut in half, then force it takes to stretch one of the halves 3.0 cm is also 4N.

When a spring is stretched, its length changes by an amount x from its equilibrium length, and it exerts a force F = -k x in a direction towards its equilibrium position.

Given, F= 4 N

x= 6 cm

As we know that, F= k x

4= k * 6

k = 4/6

when , x = 3 cm, K become 2 times= 2 x

Now, Force= 2* 4/6 * 3

Force to stretch= 4 N

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The magnitude of the total acceleration vector at the edge of the wheel at 1.2 s is 5.22 m/s².

Given that,

Radius of the wheel = 0.3 m

Initial angular velocity ω₀ = 0

It rotates 3.1 rev/s in 5.7s. Therefore, ω = 2*π*r = 2*π* 3.1 = 19.47 rad/s

We know that, ω = ω₀ + αt

where, α = angular acceleration

ω = Final angular velocity

t = time

α = 19.47/5.7 = 3.42 rad/s²

Total acceleration at any point will be a vector sum of tangential acceleration and centripetal acceleration

ω = ω₀ + αt

ω = 0 + 3.42* 1.2 = 4.11 rad/s

αc = ω² * r = 4.11² * 0.3 = 5.07 m/s²

Tangential acceleration αt = α * r

αt = 4.11 * 0.3 = 1.23 m/s²

α net = √(5.07² + 1.23²) = √(25.7049 + 1.5129) = 5.22 m/s²

Thus, the magnitude of total acceleration vector at the edge of the wheel is 5.22 m/s².

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The speed of sedan is 39.68m/s.

By dividing a particle's mass by its speed, momentum is produced. Momentum is a vector quantity because it has both a direction and a magnitude. Isaac Newton's second law of motion states that the time rate of change of momentum is equal to the force acting on the particle. the laws of motion established by Newton.

Momentum = mass × velocity

Momentum of the truck = 3600 × 14

Momentum of the truck = momentum of sedan

3600 × 14 = 1270 × speed

Speed of sedan = 3600 × 14/1270

Speed of sedan = 39.68m/s.

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The angular velocity of the wheel when the bike takes 6 s to complete one revolution is 0.33π

Time taken by the wheel = t = 6 s

Angle of the wheel = θ

= θ = 2π

Angular Velocity = ω =

= ω = angle / time taken

= ω = θ / t

= ω = 2π / 6

= ω = π/3

= ω = 0.33π

Angular velocity is how fast the rigid body rotates with respect to its centre of rotation and is independent to the choice of origin. It is the displacement of the object revolving with respect to the time taken by the object.

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The difference in height of the liquid surface on two sides of the U-tube is 24 cm.

Oscillating U-tube is a method for calculating fluid densities. It has a measuring scale and a U-shaped glass tube. The principle behind this method is that when pressure is applied to one side of the tube, it causes the liquid to move.

Let h be the difference in the height of the liquid surface and H is the height of the oil. We know that the pressure at all horizontal points in a line is the same.

Therefore, pressure at point A = pressure at point B. Then, equation 1 is [tex](H+h)\rho_wg=H\rho_{\text{oil}}g[/tex]

Here, ρ(w) is the density of water, and ρ(oil) is the density of oil. Then, the density of oil is,

[tex]\begin{aligned}\rho_{\text{oil}}&=80\%\times \rho_w\\&=0.8\rho_w\end{aligned}[/tex]

Substitute the above equation in equation 1.

Then,

[tex]\begin{aligned}(H+h)\rho_{w}g&=H\times0.8\rho_{w}g\\H+h&=0.8\times H\\h&=0.8H-H\\&=-0.2H\end{aligned}[/tex]

The negative sign in the above equation indicates that the oil surface is at a higher height.

Given, the volume of oil is V(oil)=120mL=120×10⁻⁶ m³. Area is A=1 cm² = 10⁻⁴ m². Also, the volume of oil = volume of cylinder = AH

Then,

[tex]\begin{aligned}120\times10^{-6} &=AH\\H&=\mathrm{120\times10^{-2}\;m}\\&=\mathrm{1.2\;m}\\|h|&=0.2\times\mathrm{1.2\;m}\\&=\mathrm{0.24\;m}\\&=\mathrm{24\;cm}\end{aligned}[/tex]

The answer is 24 cm.

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On a current loop, a uniform magnetic field has a net torque but no net force. Let's assume that the magnetic field is parallel to both sides of the loop's two sides and is in its plane. The force on the left and right sides of the loop, if it has width a, height b, and current I, is given by F = IbB. Due to the field's parallel alignment with those other sides, they are not subject to any force.

No net force exists because the two forces are acting in opposite directions, but there is a torque that tends to cause the loop to rotate about an axis that passes through its center. This axis's torque is given by:

τ = F (a/2) + F (a/2) = Fa = IabB.

The area vector is perpendicular to the plane of the loop, so = IAB. Another right-hand rule can be used to determine its direction: curl your right hand's fingers in the direction of the current, and point your thumb outward so that it faces the direction of the area vector.

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The phrase LASER is an acronym of mild Amplification by way of stimulated Emission of Radiation. it's miles a device to provide a sturdy, monochromatic, collimated and tremendously coherent beam of mild. it really works in the phenomenon of 'stimulated emission'.

Laser light is exceptionally monochromatic.

Laser resurfacing can lessen the advent of high-quality lines inside the face. it may also treat loss of skin tone and improve your complexion. Laser resurfacing cannot cast off immoderate or sagging pores and skin.

(ii) Laser light is fairly coherent.

since the emission of all photons are in section, the laser beam is coherent.

(iii) Laser mild is relatively extreme

The depth of laser beam may be very high due to the fact all the photons within the beam are coherent.

(iv) Laser light is highly directional.

A laser beam is fantastically directional. mild from other assets can be made parallel beam by using a lens or a reflect,but the beam divergance is an awful lot more than that for laser light.

Those properties of laser mild enables it for use in surgical treatment and cut via metals.

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The lateral string has a tension of 1.89*10⁻³N, the vertical string has a tension of 7.84 * 10⁻⁴ N, and indeed the ratio of both strings is 2.41.

The force produced that whenever a load is placed at a few of the ends of a fabric in a direction away from the material's cross-section is known as the tension force. It's common to describe a strain as a "grabbing" force.

(a). The net force acting on the strand is T =mg

Here,

T = Tension in the strand

m = mass of the spider

g = acceleration due to gravity

Substitute 8.00×10⁻⁵ kg for m and 9.8m/s² for g in equation.

T = mg

T = 8.00×10⁻⁵ * 9.8m/s²

T = 7.84 * 10⁻⁴ N

Hence, the tension in the vertical strand is 7.84 * 10⁻⁴ N

(b). The net force in the vertical direction is-

2Tsin∅ = mg

Here, g seems to be the acceleration caused by gravity, r is really the stiffness with in strand, m is the spider's mass, and ∅ is the angle the strand is making.

Substitute 8.00×10⁻⁵ kg for m, 9.8m/s² for g and 12º for ∅ in equation.

2Tsin∅ = mg

2T (sin12º) = 8.00×10⁻⁵ kg * 9.8m/s²

T = 8.00×10⁻⁵ * 9.8/ 2sin12º

T = 1.89*10⁻³N

Hence, the tension in the horizontal string is 1.89*10⁻³N.

The ratio of vertical and horizontal string is,

= 1.89*10⁻³N/7.84 * 10⁻⁴ N

= 2.41

Hence, the ratio of vertical and horizontal string is 2.41

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The complete question is-

(a) Calculate the tension in a vertical strand of spider web if a spider of mass 8.00×10⁻⁵ kg hangs motionless on it. (b) Calculate the tension in a horizontal strand of spider web if the same spider sits motionless in the middle of it much like the tightrope walker in Figure 4.17. The strand sags at an angle of 12º below the horizontal. Compare this with the tension in the vertical strand (find their ratio).

The calculated power is P = 3500 W. Power can be defined as the amount of work completed in a given amount of time.

Watt (W), which is derived from joules per second (J/s), is the SI unit of power. Horsepower (hp), which is roughly equivalent to 745.7 watts, is a unit of measurement sometimes used to describe the power of motor vehicles and other devices.

There are n = 140 students in the auditorium overall.

Each pupil is using a metabolic power of p = 125 W.

To keep the temperature in the auditorium consistent, the air conditioner's coefficient of performance (COP) is listed as 5.

Let P represent the required minimum amount of electric power to operate the air conditioner.The fact that

np = P in COP

P = np/COP

= ( 140 x 125 ) / 5

= 3500 W

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Answer: Dynamic equilibrium.

Explanation: When a person is running on a treadmill, they are in a state of dynamic equilibrium. Dynamic equilibrium occurs when a system is in constant motion and the forces acting on the system are balanced. In this case, the person is in motion (running on the treadmill) and the forces acting on them (gravity and the force of the treadmill belt) are balanced, allowing them to maintain their motion at a constant speed.

Energy of the photon is 3.315×1[tex]0^-^1^9[/tex] J

The frequency of a medium is the number of full vibration cycles that occur in one second.

It travels a distance equal to the length of its wave in one cycle.

Given,

Let's use the following formula

c=λν

λ=6×1[tex]0^-^7[/tex] m, h=6.63×1[tex]0^-^3^4[/tex] J

c=3×1[tex]0^8[/tex] m/s

C represents the speed of light, which has a value of approximately

λ represents the wavelength and the units should be in meters.

v represents the frequency, which should have units of Hz or [tex]s^-^1[/tex]. Hz is hertz or reciprocal seconds.

Now let's rearrange the equation to solve for v:

c=λν

3×1[tex]0^8[/tex] =6×1[tex]0^-^7[/tex]×ν

ν=5×1[tex]0^1^4[/tex]Hz

E=hν

=6.63×1[tex]0^-^3^4[/tex]×5×1[tex]0^1^4[/tex]

=3.315×1[tex]0^-^1^9[/tex] J

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The rate at which velocity changes is called acceleration. (Attensity exists when velocity varies.) If a moving object changes speed.

A motion's acceleration is the rate at which it changes from one velocity to another. A velocity's rate of change with respect to time is referred to as its acceleration. The amount and direction of acceleration are both properties of a vector quantity.

A velocity change's acceleration is measured. Acceleration is the measure of how quickly a velocity changes with time. The acceleration measure used in SI is M/s2.

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The Electric force between electron and proton is 0.25 x 10⁻¹⁰ N.

Even though these forces (electrons repelling one another, electrons being drawn to the nucleus, etc.) exist within an atom, they are in equilibrium in the absence of any other external influences.

If the charges were incompatible, i.e. Two charges will attract one another if there is one positive and one negative.

Consider the two charges to be a proton and an electron that are equally spaced apart. The amount of charge on an electron is equivalent to the charge on a proton.

This means that unless a change occurs, no movement is produced solely by electrostatic force.

[tex]F=-K[X-x][/tex]

F=-0.5 [1.0 -0.5]x 10⁻¹⁰

F=0.25 x 10⁻¹⁰ N

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Fraction of the juice in the large container is made up of concentrate is 11/10.

Let the two identical pitchers be A.

Let concentration of orange juice and water be x and y respectively.

Then according to question,

A=1/3x + 2/3y (1st pitcher)

A=2/5x + 3/5y (2nd pitcher)

From these two equations we get x=y.

i.e. A=1/3x+2/3x

 ⇒A=x=y

So total concentration of orange juice is: 1/3x + 2/5x=11/5x=11/5A

Now total concentration of pitchers=A+A=2A

i.e. Required ratio = (11/5A)/2A = 11/10

Therefore Fraction of the juice in the large container is made up of concentrate is 11/10.

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Your mass would be the same on the moon as it is on Earth, which is 60 kg. Despite the moon and Earth having different gravitational fields, mass is a constant indicator of the quantity of matter present.

This suggests that option b) is the proper one.

What is the gravitational difference between the moon and the earth?

The moon won't draw things toward itself with the same force as the Earth since it has a lot less mass than the latter. In other words, even if your mass stays the same, you would weigh less if you traveled to the moon!

The average gravity at Earth's surface is 9.8 meters per second. For example, when something is thrown over the top of a building or the edge of a cliff, it falls at a speed of 9.8 meters per second each second. The surface gravity of the Moon is around 1/6th as strong, or 1.6 meters per second every second.

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I understand that the question you are looking for is:

If your mass is 60 kilograms on earth, what would your mass be on the moon?

a) 10 pounds

b) 60 kilograms

c)60 pounds

d)10 kilograms

e)360 kilograms

The area of the spill increasing when the circumference of the circle is 100π meters at a rate of 2000 sq. m/sec.

In geometry, the perimeter of a circle or ellipse is its circumference. In other words, the circumference would equal the length of the arc if the circle were expanded up and straightened out to a line segment.

The term "perimeter" is most frequently used to describe the radius of any closed shape. The exact location of the circle, which corresponds to the edge of a disc, is also referred to as its circumference.

Given parameters:

circumference changing at a rate = 2π dr = 40m/sec.

the circumference of the circle is = 2πr = 100π meters

Hence, the rate of area of the spill increasing = 2πrdr

=  100π meters × 40m/sec/2π

= 2000 sq. m/sec.

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The percentage of mechanical energy of the oscillator lost in each cycle is 5.91 %.

The formula for mechanical energy in an oscillator is given by

E = 1/2 kA²

It is the sum of elastic potential energy and kinetic energy.

Amplitude is nothing but the maximum displacement moved by a point on vibrating body.

It is given that the amplitude A decreases by 3%, then

(E₂ - E₁) / E₁ = [1/2 k (A₂²- A₁²)] /(1/2 k A₁²) = (A₂²- A₁²)/ A₁² = (97² - 100²)/ 100²

⇒ 5.91% of the mechanical energy is lost in each cycle.

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Answer: The thermal energy increased during his slide is 3099 J.

Reason:

When the Fireman slides down this initial gravitational potential energy is converted into kinetic energy If we release the mass, gravitational force will do an amount of work equal to mgh on it, thereby increasing its kinetic energy by that same amount.

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The electric current necessary for generate the magnetic field by a cylindrical coil of 100 turns is 6 A.

Coercivity of magnet = H = 4000 a/m

Length of cylindrical coil = L = 0.15 m

Number of turns in the coil = N = 100 N

Electric current of the coil required to generate magnetic field= I =

= I = (HX L) / N

= I = ( 4000 x 0.15 ) / 100

= I = 600 / 100

= I = 6 A

The current required for the coil of length 0.15 m with 100 turns and coercivity of 4000 a/m to generate magnetic field is 6 amperes.

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The building process until planetesimals were formed. This process is called accretion.

What is accretion?
In physics and astronomy, accretion is indeed the process by which more matter, usually gaseous matter, inside an accretion disc, is gravitationally drawn into a massive object. The majority of astronomical objects, including planets, galaxies, and stars, are created through accretion processes. Otto Schmidt first put forth the idea that Earth and other terrestrial planets created from meteoric material in 1944. William McCrea then advanced the protoplanet theory in 1960, and Michael Woolfson later advanced the capture theory. The modern Laplacian theory was created in 1978 by Andrew Prentice, who revived the original Laplacian ideas regarding planet formation.

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