A runner accelerates toward the finish line. Identify the action force in the example.

The calculated total distance from the eyes to the toes is given by 432.7 cm.

Given:

Distance, x = 200 cm

Horizontal distance, h = 165 cm

We can use the idea of virtual images created by mirrors to calculate the distance between your eyes and the image of your toes in the mirror.

When you stare at a mirror, light rays from your eyes reflect off of it and give the impression that they are coming from behind the mirror. The virtual reflection created by the mirror appears to be at the same height as you are in front of it.

The horizontal distance is:

d = 2x

d = 2 × 200

d = 400 cm

The total distance from eyes to toes is:

D = √(d² + h²)

D = √(400² + 165²)

D = 432.7 cm

Hence, the calculated distance from the eyes to the toes is given by 432.7 cm.

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The kinetic energy K of the toy when the spring is compressed 3.2 cm from its equilibrium position if the maximum velocity achieved by the toy is 3.2 m/s is 0.19 J

KE = 1 / 2 m ( ω √ ( A² - x² ) ²

KE = Kinetic energy

m = Mass

A = Amplitude

x = Displacement of spring

ω = Angular velocity

ω = v / A

m = 50 g = 0.05 kg

v = 3.2 m / s

A = 6 cm = 0.06 m

x = 3.2 cm = 0.032 m

KE = 1 / 2 m ( v / A √ ( A² - x² )²

KE = 1 / 2 * 0.05 ( 3.2 / 0.06 √ ( 0.06² - 0.032² )²

KE = 0.025 * ( 53.33 * 0.051 )²

KE = 0.025 * 7.39

KE = 0.19 J

Therefore, the kinetic energy is 0.19 J

The given question is incomplete. The complete question is:

A child's toy consists of a spherical object of mass 50 g attached to a spring. One end of the spring is fixed to the side of the baby's crib so that when the baby pulls on the toy and lets go, the object oscillates horizontally with a simple harmonic motion. The amplitude of the oscillation is 6 cm and the maximum velocity achieved by the toy is 3.2 m/s . What is the kinetic energy K of the toy when the spring is compressed 3.2 cm from its equilibrium position?

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The best statement that best describes the relationship between changes in air pressure and wind speeds is when a high- and a low-pressure air mass are far apart, air moves quickly from high to low pressure.

The greater the increase or decrease in pressure, the faster the winds move. When a high- and a low-pressure air mass are far apart, air moves slowly from high to low pressure. When a high- and a low-pressure air mass are close, the air moves slowly from a point of high to low pressure. When a high- and a low-pressure air are far apart, the air moves rapidly from a region of high pressure to a region of low pressure.

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36.99N

Given

Maximum blood pressure  P = 150 mm

Effective area of the aneurysm a = 18.5 cm2.

Expression for the maximum force exerted by blood on an aneurysm is,

f =P * a = (150 mm Hg* (133.322 N/m²/ 1 mmHg)) * ( 18.5 cm² * (1 m² /10000cm²)) = 36.99N

The pressure is computed as the ratio of acting force on an object and the surface area of the object where the force is directed. The pressure is usually measured in terms of Pascal and blood pressure in mm of Hg.

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A special kind of outlet known as a Ground Fault Circuit Interrupter (GFCI) should be installed in area where water and electricity could come into contact. GFCIs are typical electrical safety devices which trips electrical circuits as soon as they detect ground faults or leakage of current.

Installing GFCIs, or ground fault circuit interrupters, is a unique type of outlet that should be used in locations where electrical items may come into contact with water. A GFCI is made to trip before a potentially fatal electrical shock occurs.

Anybody who enters the path of a leakage current will receive a fatal shock or be electrocuted. These outlets guard against fatal shock by immediately cutting off power to the circuit if the electricity entering the circuit and returning to it differ by even a little amount.

Any indoor or outdoor space where water might come into contact with electrical equipment should have a GFCI installed. GFCIs are currently required to be used in all kitchens, baths, garages, and outdoor areas according to the National Electrical Code.

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Force required is: -170N for the distance of 342.25m.

a) F=ma

F= - 85×2.0 = - 170

b) using energy

5×85×37²=170×d

d = 342.25 m

c) The work done would be given by

W= F×d

W  =(−1.7×10²N)×(3.4×10²)

W=−5.8 × [tex]10^{4}[/tex] J

d) The net force on the mass would be

F = ma

F = -340 NF

-ve sign indicates that the force acts opposite to the direction of motion.

e) Using the kinematic equation

v²= u² + 2ad

d= 1.7 × 10² m

f) The work done would be given by

W= F×d

W= -5.8 × [tex]10^{4}[/tex] J

-ve sign indicates that the energy of the rider decreases by the force

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The answer indicates that the range about which you will see the second order (m=2) brilliant fringe is 17.76°.

Diffraction gratings could really separate kaleidoscopic light in with its constituent wavelengths, so even though transmission vertical slats are an a kind of interferometer that includes diffraction of light at various angles to produce a diffraction pattern. This is a main distinction between the two types of gratings.

As we know that,

300 lines/mm = 1/d

d = 0.00333E-3 m

now use

m λ = d sin θ

θ = arc sin( 2*508E-9/0.00333E-3) = 17.76°

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The complete question is-

Suppose you have a diffraction grating which has 300. lines/mm and you shine light with a wavelength of 589 nm through it. What is the angle at which you will observe the second order (m=2) bright fringe?

The difference between the average temperatures of venus and mercury : Mercury - 333°F (167°C) Venus - 867°F (464°C)

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The image distance (the distance from the lens to the focused image) change with the object distance (the distance from object to the lens) due to the lens formula.

Lens formula is defined as the relationship between object distance (u), image-distance (v) and the focal length (f). Following is the mathematical representation of lens formula:

Lens Formula : 1/f = 1/v - 1/u

Where f = focal length

           v = image distance

           u = object distance

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The car can travel at 20.5 m/s (74 km/hr). Any faster, and it will leave the road.

What is speed?

Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object travels along a path. In other words, velocity is a vector, whereas speed is a scalar value.

According to the question:

Two forces—gravity and the normal force of the road—are acting on the car as it crests the hill. These combined exert a net centripetal force, which will cause the car to travel in a circular arc.

[tex]$$\vec{F}_c=\vec{F}_g+\vec{F}_N$$[/tex]

Next, realize that "without leaving the road" actually refers to "just at the point where the car is going to leave the road" and that this corresponds to the condition FN = 0.

This means that our equation becomes

[tex]$$F_c=F_g$$[/tex]

and that gravity alone will determine the radius of the path the car will follow.

Substituting [tex]$F_c=\frac{m v^2}{r}$[/tex] and [tex]$F_g=m g$[/tex], we get

[tex]$$\frac{m v^2}{r}=m g$$[/tex]

Since we don't observe small, light automobiles flying airborne more frequently than larger ones, we can cancel the mass, which means that all cars traveling at this speed will follow the same course regardless of mass.

[tex]$$\begin{aligned}& \frac{v^2}{r}=g \\& v=\sqrt{g r}\end{aligned}$$[/tex]

After Substituting the values:

[tex]$$v=\sqrt{(9.8)(43)}=20.5 m/s}$$[/tex]

So, the car can travel at 20.5 m/s (74 km/hr).

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The Light Intensity that passes through the set of polarizers is 9.99939871 W/m

[tex]I=icos\alpha[/tex]

I=10 cos 0.62832

=9.99939871 W/m

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The speed of the moving train is 2.31 m/s

What is called speed?

Speed is described as. the rate at which an object's position changes in any direction. Speed is defined as the distance traveled divided by the travel time. Speed is a scalar quantity because it only has a direction and no magnitude.

Speed is calculated as follows: speed = distance/time. Knowing the units for distance and time is necessary to calculate the units for speed.

According to the given information:

[tex]f=\frac{v}{s} *f_{0}[/tex]  

s = speed in air,

v is the speed of the train,

f₀ is the frequency of the siren,

f₀ = 516 Hzs = 340.29 m/s

f = 3.5 Hz

v = (3.5 / 516) × 340.29 = 2.31 m/s.

So, the speed of the moving train is 2.31 m/s

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When current is straight, it means the current is passing through a straight conductor, the magnetic field produced due to current through a straight conductor is in the form of concentric circle and are in a plane perpendicular to the plane of linear conductor. It means the magnetic field is circular.

a straight conductor is a wire having magnetic field lines centre on it.

Electric current in a circular loop creates a magnetic field which is more concentrated in the center of the loop than outside the loop. Stacking multiple loops concentrates the field even more into what is called a solenoid.

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An electromagnetic wave transfers energy as it travels, then electric and magnetic fields in an EM wave are perpendicular to each other and also perpendicular to the direction of wave propagation.

Waves that move through space and carry electromagnetic radiant energy is termed the electromagnetic waves.  They include radio waves and microwaves and others.

During the transfer of energy, they are the sinusoidal movement that are perpendicular to each other in the direction of wave motion. They also show synchronized oscillations.

A changing magnetic field induces changing electric field and vice-versa as the two are linked. Changing fields form electromagnetic waves.

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The station should be above 39.34m the normal train track.

mass = 10⁵kg

v=100 km/hr

v=27.77 m/s

using energy conservation

1/2m(v)²=mgh

h=(v)²/2g

h=(27.77)²/2×9.8

h=39.34

Mass, in physics, quantitative measure of inertia, an essential property of all dependents. It's far, in effect, the resistance that a frame of count number gives to a change in its speed or position upon the application of pressure. The more the mass of a frame, the smaller the alternate produced with the aid of a carried-out force.

The unit of mass within the worldwide machine of gadgets (SI) is the kilogram, which is defined in terms of Planck's regular, which is described as equal to 6.62607015 × 10-34 joule 2d squared.

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The definition of moment of inertia allows for the following results for the moment of inertia with respect to each axis:

1-Iₓ = m r²

2-Iy=9m r²

3-Iz=10m r².

What exactly is moment interia?

The expression yields the moment of interia as a scalar quantity.

Sol-

I =∫ r² dm

Where I is the moment of inertia, m is the body's mass, and r is the distance from the axis of rotation.

In the case of point particles, the expression is as follows:

I = m r²

In this case, we calculate along each coordinate axis.

a) The distance is x = r with respect to the x axis, and the moment of inertia is

Iₓ = m r²

indicate the distance in relation to the y-axis

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The total mechanical energy before the collision of the block system will remain the same to the total mechanical energy after the collision.

In the field of science, mechanical energy can be described as the kind of energy that is present at the time of motion or at the time of rest.

Hence when two block systems collide, the mechanical energy can change from one form to another but the total energy will remain the same.

This is because, according to Newton, energy can change form from one form to another but the total energy remains the same.

Hence, in the block system, the mechanical energy will remain the same after collision.

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Peak wavelength of the object is 6.49 µm.

Peak wavelength is the wavelength at which the line is brightest.

Temperature of the object = 172°c

Temperature in kelvin = 172 + 273 = 445 K

λmax = 2.89 * [tex]10^{-3}[/tex] / T

λmax =2.89 * [tex]10^{-3}[/tex] / 445

λmax = 6.49 *   [tex]10^{-6}[/tex] m

λmax = 6.49 µm

The peak wavelength of the radiation emitted by the object at temperature 172°c is 6.49 µm.

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47.4 mm hg is the pressure  at 830 km/h at the same altitude

Bernoulli's principle refers to this inverse relationship between pressure and speed at a particular point in a fluid. Principle of Bernoulli

P1=12 mm hg

v1=210 km/h

v2=830 km/h

p2=?

P1/V1=P2/V2

P2=P1V2/V1

P2=12×830÷210

P2=47.4 mm hg

The definition of pressure is force/area. Divide the weight of the snow by the surface area of the roof to show the pressure that snow puts on it. In physics, gases are a common source of pressure. The lack of pressure is referred to as a "vacuum". Since "nature abhors a vacuum," people have long believed that vacuums are improbably uncommon and unnatural. This is not actually the case.

The quantity of pressure units is absurd. The torr or mmHg units are frequently used. The height of a mercury column is the only topic of discussion. There are 760 torr, or mmHg, in the atmosphere. You might also take a look at mmH2O, which employs a related concept.

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The de Broglie wavelength of a nonrelativistic electron and a nonrelativistic proton is the same, they both have the same momentum, and the electron has higher kinetic energy than the proton.

A subatomic particle having a poor standard electric charge is the electron. Because they lack any discernible additives or substructure, electrons are considered to be fundamental particles and belong to the main technology of the lepton particle's own family. The radius of the electron is predicted to be around 2 10-10 cm using the best values for the wavelength and the scattering by a tough X-ray and?-ray matter.

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A 4 kg ball is launched vertically into the air. The net force exerted on the ball at its highest point is 39.24N.

What is  net force?

In mechanics, the net force is the vector sum of forces acting on a particle or object. The net force is a single force that replaces the effect of the original forces on the particle's motion.

Given data

Ball mass m=4 kilogram

Gravitational acceleration is 9.81 m/s^2 , or g.

The location of the ball has no bearing on the net force applied to it in vertical projectile motion. As a result, the ball experiences a net downward force throughout its travel, and the size of this force is equal to the mass times the acceleration caused by gravity.

[tex]\begin{aligned}& F_{\text {net }}=m g \\& F=4 * 9.81 \\& F=39.24 N\end{aligned}[/tex]

Therefore, the ball is subject to a net force of 39.24 N.

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a 50.0-kg skater is traveling due east at a speed of 3.00 m/s. a 70.0-kg skater is moving due south at a speed of 7.00 m/s. they collide and hold on to each other after the collision, managing to move off at an angle θ south of east, with a speed of vf. find

(a)the angle θ and

(b)the speed vf, assuming that friction can be ignored.   4.28 m/s

I used tan theta=(opposite/adjacent) but I got 66.8 degrees as my answer with 7 as the opposite and 3 as the adjacent, whereas my answer booklet says 73.0 degrees. I thought velocities could be treated as vectors.

someone who skates. same as skateboarderSee skateboarder. British informal a young man or woman who usually wears saggy garments and spends lots of time skateboarding.

travel is the motion of human beings among distant geographical places. journey can be performed by using foot, bicycle, vehicle, educate, boat, bus, airplane, ship or other approach, with or without baggage, and can be one way or spherical ride.

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The force exerted on the motorcycle by the road due to friction is 2273n.

Solution:

m = 500 kg

v = 25 m/s

u = 0 m/s

t = 5.5 s

F = 500(25-0)/5.5

F = 2272.72 N

Friction offsets the weight to keep the motorcycle moving on the loop at a constant speed. Both weights and normals point down towards the center of the loop. The net force is the centripetal force. Dry friction always opposes sliding between surfaces and can react or act on bodies in motion. This motorcycle creates dry friction between the tires and the road surface.

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If a battery with a potential difference of 1.5 volts is placed across the plates, the maximum capacitor will have a charge of 36 V.

1 V is, by definition, a potential energy differential between two places equal to one joule for every coulomb of charge. Your query is resolved by that. Between the sites where that potential difference is measured, 1.5V denotes a potential energy differential of 1.5 joules per coulomb.

ΔV=VB−VA=ΔPEq. By dividing the potential energy of a charge q that has been transported from point A to point B by the charge, we may define the potential difference between points A and B as VBVA. The joules per coulomb, sometimes known as volts (V) in honor of Alessandro Volta, are the units of potential difference.

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The cross-sectional area decreases, so the resistance per unit length,  increases

The limitation of current flow in an electrical circuit is measured in terms of resistance. The ohm, or the Greek letter omega, stands for the unit of measurement for resistance.

According to the given information

We know that

Resistance of the wire is directly proportional to length of the wire and inversely proportional to the area of the wire

So,

R ∝ [tex]\frac{L}{A}[/tex]

Proportionality constant ρ = resistivity constant

R = ρ[tex]\frac{L}{A}[/tex]

So If the cross sectional area decreases , Resistance per unit length increases

It reflects, inverts, and maintains the same velocity.

What is velocity?

The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar number. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate.

"It reflects , reverts and maintains the same velocity" is the one among the following that describes what happens to the wave after it hits the fixed end. The correct option among all the options that are given in the question is the second option or option "b". I hope the answer has come to your help.

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Maximum speed of the child as she swings is  2.23 m/s.

T=3.3 s is the oscillation's time period.

The swing's greatest angle is 25° (max).

The swing's bottom will have the following kinetic energy:

k=12mv2...........(1)

The mass in this situation is m, and the speed is v.

The potential energy change is expressed as,

∆U=mgL1-cosθmax...............(2)

Here, L is a string's length and g is the acceleration caused by gravity. L is given as,

L=gT24π2

Combine equation (1) with (2)

12mv2=mgL1-cos, maxv=2g, maxv=gT24, maxv=g2T22, maxv=9.8 m/s

22.33 m/s, 22.31 s22.31 cos25°

Therefore, the child's top speed is 2.23 m/s.

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Answer: A

Explanation:

I took the test

The speed  [tex]V_{i}[/tex] of the elevator at the beginning of the 8 m descent is nearly 4 m/s. Hence, option A is the correct answer.

We are given that-

the mass of the elevator (m) = 1000 kg ;

the distance the elevator decelerated to be y = 8m ;

the tension is T = 11000 N;

let us determine the acceleration 'a' by using Newton's second law of motion.

∑Fy = ma

W - T = ma

(1000kg x 9.8 m/s² ) - 11000N = 1000 kg x a

9800 - 11000 = 1000

a = - 1.2 m/s²

Using the equation of kinematics to determine the initial velocity.

[tex]V_{f}[/tex] ² = [tex]V_{i}[/tex]² + 2ay

[tex]V_{i}[/tex] = √ ( 2 x 1.2m/s² x 8 m )

[tex]V_{i}[/tex] = √19.2 m²/s²

[tex]V_{i}[/tex] = 4.38 m/s   ≈ 4 m/s

Hence, the initial velocity of the elevator is 4m/s.

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Work done by the gas during the process is -200J.

Work done can be defined as the product of force and distance travelled by the force.

For an isothermal process, temperature is constant and thus the heat transfer into and out of the system happens slowly so that the system is in thermal equilibrium.

Also, from the first law of thermodynamics, the change in internal energy (ΔU) of a closed system is equal to the sum of the heat transferred (Q) and the work done (W) by the system. i.e

ΔU = W + Q    

The internal energy is dependent on the temperature of the system and since this temperature is constant the change in internal energy is zero (0).

i.e

ΔU = 0

putting the values in the equation of FLOT

⇒ 0 = W + Q

⇒ W = -Q  

Therefore, for such process, the work done is the negative of the heat transferred (heat removed in this case).

Q = 200J

W = -200J

Therefore, the work done is -200 J

The value is negative to show that the process is a compression meaning that work is done by the surrounding on the gas.

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