An 18 kg curling rock is pushed with a constant force of 13.0 N. The
curling rock has an initial speed of 1.5 m/s. Assuming there is no friction
determine the speed of the rock after it has travelled 2.1 m.

Answer:

to find the amount of work done, you need to calculate the force applied to the box times the distance over which it is applied. In this case, the force applied to the box is 15N and the distance over which it is applied is 3 meters, so the amount of work done is 15N * 3m = 45N*m.

Explanation:

It's important to note that work is a scalar quantity, not a vector quantity. This means that it has only magnitude and no direction. The direction of the force applied to the box and the direction of the displacement of the box are not relevant in calculating the amount of work done.

Important Formulas:
[tex]w=Fd[/tex]

work(measured in joules) = force(measured in newtons) * distance(measured in meters)

__________________________________________________________

Given:

[tex]F=15N[/tex]

[tex]d=3m[/tex]

[tex]w=?[/tex]

__________________________________________________________

Finding work:

[tex]w=Fd[/tex]

[tex]w=15\times3[/tex]

__________________________________________________________

[tex]\fbox{w = 45J}[/tex]

The magnitude of current when a flat coil of wire consisting of 480 turns each with an  area of 70 cm, is positioned perpendicularly to a uniform magnetic field that increases its magnitude at a constant rate from -0.8 t to -0.75 t in 7.7 s. if the coil has a total resistance of 86  is 0.025 A.

Given that magnetic flux is expressed as = NBA in this situation,

we know that N = number of turns and B = magnetic field.

We now know that the rate of change in magnetic flux will cause EMF in the coil, hence A = area of the loop.

EMF = NBA db/dt

Now, enter all variables to calculate the induced

EMF: (480)(70 * 10-2). [(-0.75) -(-0.8)]

According to Ohm's rule, current equals EMF divided by resistance, hence I = 2.18/86

I = 0.025 A

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What is the speed of an aircraft traveling at 100 km/h above the ground in relation to the air that has a 6 m/s right-angle crosswind at that same speed?

Speed is described as the rate at which a distance changes over time. It has a distance by time dimension. The basic value of distance with the basic unit of time are combined to form the SI unit of speed. The metric system uses meters per second as the unit of speed.

Distance traveled in a unit of time is referred to as speed. It is the rate of movement of an object. Speed is defined as the amount of time it takes to cover a given distance. m/sec is the speed unit. The magnitude of the velocity vector is a scalar variable called speed.

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The minimum speed that the bucket must swing so that the bucket does not come crashing down at the top of its loop is v = [tex]\sqrt{rg}[/tex]

Fc = Fg

mac = mg

ac = g

ac = v^2/r

v^2/r = g

The pace at which the distance a moving item travels changes is measured as speed. Since speed is a scalar, it has magnitude but no direction as a unit of measurement.

Speed is the rate at which anything moves over a predetermined distance.

an object that moves quickly and with high speed, covering a lot of ground in a short time. A slow-moving object with a low speed, on the other hand, covers a comparatively short distance in the same amount of time. An item with zero speed is stationary.

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Assuming there aren't any frictional forces at play.

The weight can be represented graphically as a straight-down vector or as two parallel components with the slope's surface (axis of motion) and one component perpendicular to the slope's surface (opposite to the normal force).

When an item is supported exclusively by weight and normal forces, W = Fn, hence Fn = mg, for a horizontal surface. The normal force for an item across an inclined surface with an angle of is given by Fn=mgcos F n = m g c o s.

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H2O molecules have a latent heat of 124976.7 J/mol when expressed in joules. This is comparable to about 124976 electron volts. 7 J/mol equals 7.2 1020 eV.

When an electron accelerates in an electromagnetic current created by a one volt potential difference, it gains kinetic energy, which is measured in electron volts.

The meaning of an electron energy (eV) is The amount of kinetic energy that an electron gains or loses when it goes from rest across a potential of one volt is known as an electron or electron-volt. Energy is measured in electron volts. 1.602176634 10-19 J is the equivalent of one electron volt.

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The ball will take 2.551 seconds to reach its peak position.

We must know how long the balls are in the air before we can predict where they will fall. It will take 2 seconds for both balls to touch the ground.

The falling ball travels a distance of d = 12 9.8 (m/s2) t2, with a speed of v = 9.8 (m/s2) t as a function of time. The ball travels 4.9 m in a second. The falling ball's velocity is v = -9.8 (m/s2) t j, and its position is r = (4.9 m - 12 9.8 (m/s2) t2) j as a function of time.

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Plae A is flying at 350mph in the northeast direction relative to the earth, meanwhile plan B is flying at 460mph in the north direction. Plane B is observed as it is flying in the northwest direction as observed from plane A.

When the two planes are flying, the speed of the objects are measured relatively to the sureface of the earth are the actual speed of the object.

To solve this case, we will use the relative velocity concept. The relative velocity defines the velocity of an object relative to another object. In this case, we want to know the velocity of Plane B relative to Plane A.

To find the relative velocity of plane B to plane A,we could use formula:
v(BA)² = v(B)² + v(A)² - 2.v(A).v(B).cos45°

where:

v(BA) = velocity of plane B relative to plane A

v(B) = actual velocity of plane B

v(A) = actual velocity of plane A

cos45° = cos of the angle between plane B and plane A's direction

Using the information given, we found that:

v(BA)² = 460² + 350² - 2(460)(350).cos45°

v(BA) ²= 106,411

v(BA) = 326.21 mph

Plane B will be seem as flying with 326.21mph to northwest direction relative to plane A.

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If the conductor is connected to the ground, then it has a neutral charge.

Earth acts as a zero potential ground. So when you connect a positively charged conductor to the ground, the positive charge flows into the ground, resulting in the flow of electrons from the ground to the conductor. A ground wire acts as protection against unstable currents.

Under normal circuit conditions, no current flows through the ground wire. However, when an electrical accident such as a short circuit occurs, the ground wire removes the unstable current from the electrical system and leads it to the ground. The ground wire can be finger-safe as long as there is no electrical surge that causes current to flow through the ground wire.

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Due to the Earth's rotation, the seas' neap tides alter every six hours or so. The Moon and the Sun's gravitational pull on the ocean's water produces the tides themselves.

Waves from deep water become breaking waves when they enter the shallow water. The water particles drag along the bottom and flatten their orbit when the wave energy contacts the ocean floor (Fig. 4.18 B). When the water depth is less than half the wavelength (D 1/2 L), transitional waves are produced.

A wave's energy release when it approaches a beach or coastline creates a current that travels parallel to the shoreline. A "longshore current" is the name given to this kind of current.

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According to the given statement 46 days  is the half-life of the radioisotope.

An unstable chemical element that releases radiation as it breaks down and becomes increasingly stable. Both the natural environment and a laboratory can produce radioisotopes. They are used in medical imaging research and therapy.

A radioactive substance's half life can be predicted by:

Nt = No(1/2)^(t/th)

Nt is the amount remaining (mg)

No is the initial amount (mg)

t is the time elapsed, in days

th is the half life in days.

Nt = No(1/2)^(t/th)

0.50mg = (8.0mg)(1/2)^(184 days/th)

We can resolve this for Th using logs.

th = 46 days

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Petroleum has less density than water. So, when fire streams are applied to the burning liquid surface at such an angle that hot and / or burning oil is forced over the edge of the tank, the oil then flows down the side of the tank and you are now confronted with a fire on the ground as well as the one in the tank.

When you spray water on a regular fire, you're attempting to lower the flame's temperature and contain the fire.

Fuel for an oil fire is oil. Temperature and oxidizer are present in a fire (oxygen). Due to the fact that oil is lighter than water, an explosion may result if it floats above water while water sinks beneath oil.

Consequently, water shouldn't be used to put out oil fires.

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The points about the stars from the appendix are: Sirius A is the most luminous star within 12 parsecs. It is also the brightest star in our sky, even though it is not the closest. The list of the brightest stars will include the very luminous hot stars from distances greater than 12 light-years, while the list of the fainter yet closer low-mass stars will not.

The list of stars within 12 light-years is volume-limited, which means that almost all of the stars within that distance are listed regardless of luminosity. Such a list is a better representative of the total population of stars and is more plausible to be dominated by low-mass stars. The list of brightest stars includes only those stars that are above a certain apparent brightness threshold.

Therefore, the faintest nearby stars are excluded, but the brightest and rarer hot stars are included in higher proportion than they are in a volume-limited list.

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the con- stant angular acceleration (in rad/s2) of the centrifuge is α = -226.2rad/s².

Calculation :

We know that ,

                      W² = W₀ + 2αΔФ  ,  W = 0  so

                      α = -W₀²/2ΔФ  =  -[tex](\frac{2\pi *3600}{60} )^{2} *\frac{1}{2*2\pi *50.0}[/tex]

                         = -72.0π

                      α = -226.2rad/s²

Angular acceleration refers to the rate of change of angular velocity over time. Since there are two types of angular velocity, spin angular velocity and orbital angular velocity, there are of course two types of angular acceleration, spin angular acceleration and orbital angular acceleration. Spin angular acceleration refers to the angular acceleration around the center of rotation of a rigid body, while orbital angular acceleration refers to the angular acceleration of a point particle about a fixed origin.

Angular acceleration is measured in angular units per unit time squared (radians per second squared in SI units) and is usually represented by the symbol alpha (α).

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Stippling is a cutaneous condition brought on by unburned gunpowder fragments. Stippling cannot be removed with water, in contrast to other things that may be deposited on the skin, such as soot. Stippling suggests that when the gun was discharged, it was less than two feet from the victim's body.

Stippling in gunfire is what?

Stippling is the term used to describe the occurrence of numerous punctate skin abrasions brought on by foreign objects contacting the skin's surface. 1. Gunpowder tattooing, also known as gunpowder stippling, refers especially to stipple marks left behind by gunpowder when it leaves a gun.

What does forensic stippling mean?

Stippling is the term used in forensic science to describe a pattern of gunshot wounds left on the skin as a result of being in close contact to a discharged weapon. Stippling is a technique used in gunsmithing to engrave designs on the grip of a firearm to increase friction and provide a more secure grip.

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4.92s is the time, it takes for the car to stop.

60.47m is stopping distance, also called as deceleration.

Deceleration is acceleration that takes place opposite to the direction of velocity. Here velocity always decreases.

Kinematic is study of motion without considering physical properties and forces acting on them. Kinematic equation deals with variables that are associated with kinematic namely, displacement, time, velocity and acceleration.

Thus to calculate time and deceleration, kinematic equation is used.

a) From question vi=55mph = 24.6m/s and f=5.0m/s²

Therefore, vi-vf/f =t

t=24.6-0/5

t=4.92s

Thus, tie required to stop the car is 4.92s

b) Δx = vf²-vi²/2a

where vf= 0m/s (final speed)

vi= 55mi/h ≈ 24.59m/s (initial speed)

a=-5m/s² (deceleration)

Δx=0²-25.59²/-2.5≈60.47m

Thus, 60.47m is the stopping distance

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An 85.0-kg person steps into a car of mass 2400 kg, causing it to sink 2.35 cm on its springs. if started into vertical oscillation, and assuming no damping, 0.60 Hz frequency will the car and passenger vibrate on these springs.

The quantity of waves that pass a set location in a predetermined period of time is known as frequency. As a result, if a wave travels for 1/2 second, the frequency is 2 per second. 100 times per hour is the frequency if it takes 1/100 of an hour.

Given that,

mass (m) = 85 kg

car of mass = 2400 kg

As we know,

m × g = kx

or, 85.0 × 9.8 = k × 2.35 × 10⁻²

or, k = (85.0 × 9.8 ) / (2.35 × 10⁻²)

or, k = 35,447 N/m

frequency (f) = 1 / 2 π [tex]\sqrt{k/m}[/tex]

or, f = [1 / 2π ] [tex]\sqrt{35447/(2400+85)}[/tex]

or, f = 0.60 Hz

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The final velocity of the free fall was 2.6(a)

define acceleration ?

The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. It is a vector quantity to accelerate (in that they have magnitude and direction). The direction of the net force applied on an item determines the direction of its acceleration. According to Newton's Second Law, the amount of an object's acceleration is the combined result of two causes:

According to the materials used to make the item, the magnitude of the net balance of all external forces acting on it is inversely proportional to its mass, but the size of the net resultant force is directly proportional to the net force.

The acceleration unit in the SI is the metre per second squared.

the final velocity was

f=u + a t

f=0+ a(2.6)

=a(2.6)

the acceleration of the free fall ride was not mentioned in the question so upto the question detailing the final velocity was found to be 2.6(a)

here the mentioned a was called as the acceleration.

The final velocity of the free fall was 2.6(a)

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The force experienced by the boy on his feet is 775.75N.

Given Data

Let us begin by calculating the total weight in the system

Weight of the boy= mg

W = 75*9.81

W = 735.75 N

Total weight of the system = 735.75+ 40

Total weight of the system = 775.75 N

A force is an influence that can cause an object's motion to change. A force can cause a mass object's velocity to change.

Force is an external agent that can change the state of rest or motion of a body.

We know that action and reaction are equal and opposite, hence the force experienced by the boy on his feet is 775.75N

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The bus' kinetic energy (in joules) at the moment before sven stops pulling is 1195.2 Joules.

The energy associated with an object’s state of motion is Kinetic energy is a scalar quantity that is never negative in value and formula is K.E = 1/2mv^2.

The kinetic energy for the x, y, and z components are additive, Kinetic energy is relative to the motion of observer’s reference frame, since speed and velocity are as well.

An object’s kinetic energy depends more on its speed than its mass. Any change in an object’s speed will affect a change in its kinetic energy.

Given,

Frictional force (f) = 1920 N

Distance Cover (x) = 2·19 m

Then energy loss due to frictional force = fx

                                                              = 1920 × 2.19

                                                              = 4204.8 J

Energy apply by Sven is 5400 J

Rest of the energy. Kinetic is used to increase the kinetic energy of bus. So kinetic energy of the bus = 5400-4204.8

                                             = 1195.2 J

When sven stops pullin, bus's kinetic energy is = 1195.2 J

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The vibration frequency in Hz is 2.7 Hz. This is calculated by taking the inverse of the vibration period (1/0.370 s = 2.7 Hz).

The vibration frequency in radians per second is 17.1 rad/s. This is calculated by taking the vibration frequency in Hz (2.7 Hz) and multiplying it by 2π (2.7 Hz x 2π = 17.1 rad/s).

The wavelength of this vibration is 1.13 m. This is calculated by taking the length of the spring (3.05 m) and dividing it by the harmonic number (3.05 m/2 = 1.13 m).

The product of the frequency, in Hz, and the wavelength is 3.06 Hz-m. This is calculated by taking the frequency in Hz (2.7 Hz) and the wavelength (1.13 m) and multiplying them together (2.7 Hz x 1.13 m = 3.06 Hz-m).

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When we are moving in a straight line, velocity the time rate of change of speed is acceleration.

Velocity can be described as a vector measurement of the charge and path of motion. Placed truly, speed is the velocity at which something moves in one course. The velocity of an automobile travelling north on a chief parkway and the velocity of a rocket launching into the area can each be measured using speed.

The distinctive styles of velocities are uniform speed, variable velocity, common pace and immediate pace. Uniform velocity: when a body is stated to be shifting with uniform speed if its average pace among any two factors along its course is equal in importance as well as path.

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The new angular velocity is 27.7 rpm

From the question, we have

ω = 22 rpm = angular velocity with all children on the edge,

ω' = angular velocity after m2 moved.

From conservation of angular momentum, we have

Mr²ω'/2 + m1r²ω' + m3r²ω' = Mr²ω/2 + m1r²ω + m2r²ω + m3r²ω

ω' = ω(M/2 + m1 + m2 + m3)/(M/2 + m1 + m3)

ω' = 22×(115/2 + 32 + 34 + 40)/(115/2 + 32 + 40)

= 27.7 rpm

The new angular velocity is 27.7 rpm

Complete question:

three children are riding on the edge of a merry-go-round that is 115 kg, has a 1.7-m radius, and is spinning at 24 rpm. the children have masses of 32, 34, and 40 kg. (a) if the children with masses of 34 and 40 kg move to the center of the merry-go-round, what is the new angular velocity in rpm?

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Its high frequency and brief wavelength The best explanation for why the note's pitch seems so high is what follows.

concept of signal detection. some people react differently to the same stimulus is explained by the signal detection theory. The experience, expectations, motivation, and alertness of an individual are a few variables that explain these variations.

Pitch. Depending on how quickly an object vibrates, a different sound is produced. High-pitched sounds are produced when something vibrates quickly. Things that vibrate more slowly produce low-pitched sounds.

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Because of their electrical configurations, they have been given the more apt name, Group 18. Possibilities Both a C are really the isotopes since their outer layer is completed but they do not interact with anyone.

Noble gases are all seven of the basic components that make up Division 18 of the chemical elements. The constituent elements include hydrogen, xenon, radon, atoms, mercury, radon, and oganesson (Og). Inert, flavorless, unscented, and nonflammable gases are known as noble gases.

This definition classifies copper, silver, and gold as noble metals. A superb metal is also one that is resistant to corrosion and oxidation.

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The speed of a wave with a wavelength of 3m and frequency of 450Hz is  1350 meters per seconds.

Wavelength is simply the distance over which the shapes of waves are repeated. It is the spatial period of a periodic wave.

It is expressed as;

λ = c ÷ f

Where c is speed, f is frequency and λ is wavelength.

Given the data in the question;

Plug the given values into the above formula and solve for speed v.

λ = c ÷ f

c = λ × f

c = 3m × 450s⁻¹

c = 1350 ms⁻¹

Therefore, the speed of the wave is 1350m/s.

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The angle for third order maximum is [tex]0.481^{\circ}[/tex] .

Given that, wavelength of yellow light is 605-nm. Distance between the slits on which the light is falling is 0.105 mm.

The angle for the the third order maximum can be calculated by the formula given below.

[tex]m \lambda=2 d \sin \theta[/tex]

where, λ  is the wavelength of light,  is the distance between the slits and  is the order of diffraction.

For the third order,[tex]m=3[/tex].

Substituting the values in the above formula, we get the angle for the third order maximum.

[tex]\begin{aligned}& 3 \times 605 \times 10^{-9}=2 \times 0.105 \times 10^{-3} \times \sin \theta \\& \sin \theta=\frac{3 \times 605 \times 10^{-9}}{2 \times 0.105 \times 10^{-3}}\end{aligned}[/tex]

Simplifying the above equation as,

[tex]\begin{aligned}& \sin \theta=0.0084 \\& \theta=\sin ^{-1}(0.0084) \\& \theta=0.481^{\circ}\end{aligned}[/tex]

Hence, the angle for third order maximum is [tex]0.481^{\circ}[/tex].

What is the wavelength?

A quality of a wave that is the distance between similar points between two continually waves is called wavelength.

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Cepheid Variable stars and RR Lyrae stars are the most often used standard candles in astronomy. The absolute magnitude of the star can be calculated from its variable period in both circumstances.

The international candle is used to measure the intensity of a light source. It was initially defined as a one-sixth-pound sperm wax candle burning at 120 grains per second. Astronomers use it today to determine the brightness of objects in the night sky.

A standard candle is a known object that does not need to be measured. A candle is a light source that emits a visible beam of light to the human eye. A standard candle is a type of astronomical objects, such as a supernova or a variable star, that has a recognized luminosity due to some characteristic property of the material it is formed of.

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The motion that the movement of jasmines arm accurately demonstrate circular motion.

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A.) Bumper Cars B.) waves in a ripple tank C.)electromagnetic radiation D.)an orchestra . Therefore all of the above.

According to the principle of superposition for mechanical waves, the position of the medium's mass element at a place where two or more moving waves join is equal to the algebraic total of the positions originating from the individual waves.

When two (or more) waves are traveling through the same medium simultaneously, the principle of superposition can be applied to them. Without causing any disturbance, the waves pass through one another.

They overlap and produce a phenomenon called wave interference.

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The given question is incomplete, the complete question is:

The superposition of mechanical waves can be observed in the movement of :

A. Bumper Cars

B.  waves in a ripple tank.

C. electromagnetic radiation

D. an orchestra