A small nail stuck in your car tire moves on a circular path with a radius of 35 cm. when the nail has traveled a linear distance of 5.5 m, through what angle has the tire rotated in both radians and degrees?

anticlockwise = clockwise (Force*distance)

1 * 20 = 2 * x

x = 10

The moment of inertia of the object is 0.053MR^2 .

Moment of inertia is defined as the quantity expressed by the body resisting angular acceleration which is the sum of the product of the mass of every particle with its square of a distance from the axis of rotation.

We can calculate the moment of inertia of an object that starts from rest and also has a final velocity using the energy conservation equation, as follows:

Then Ek1 + Ep1 is = Ek2 + Ep2, where

After that Ek1 is = kinetic energy of the object before rolling down

Now Ep1 is = potential energy of the object

Then Ek2 is = kinetic energy when the object comes down

After that Ep2 is = potential energy of the object at the bottom

[tex]Mgh = \frac{Iv^{2} }{2R^{2} } + \frac{MV^{2} }{2}[/tex]

putting the values, we get

19.6 M = 18.6 I/(R^2) + 18.6 M

I = 0.053MR^2

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Subduction zones are associated with convergent boundaries.

option C is the correct answer.

Subduction zones are plate tectonic boundaries where two plates converge or meet together, and one plate is pushed below the other plate due to underlying forces.

The following are characteristics of subduction zones;

Subduction zones is usually associated with some geo-hazards, such as;

Thus, we can conclude that the main feature or characteristics of subduction zones is convergent boundaries resulting from the convergent plates.

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The motor is an excellent invention for Allison to use as a model for her device.

People use both interchangeably, but the difference is that motors run on electricity and engines run on combustion. The engine converts various forms of fuels into mechanical force, while the motor transforms electrical energy into mechanical energy.

They operate using principles of electromagnetism, which shows that a force is applied when an electric current is present in a magnetic field. This force creates a torque on a loop of wire present in the magnetic field, which causes the motor to spin and perform useful work.

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The answer to this question is  c : the distance traveled by a wave crest and the time taken

As velocity is given as
 velocity = Distance/ time

Further there is another way,
The wave's velocity equals the product of its wavelength and frequency (number of vibrations per second) and is independent of its intensity.

The formula is shown below:
                v = f×λ

Where,

Wave speed  in  m/s

Frequency  in Hz

Wavelength  in m

Hence, the formula for calculating wave velocity is f× λ.

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The tension in the tow rope that is pulling the skier is 5283.33 N

since we are given the  average power of 2.74 × 10^4 W., with a speed of 12 m/s. So, the tension acting on the motor at this point is :

P= T X v

T = P/v =2.74 × 10^4/ 12 =2283.33 N

For the  second case, the average  power is 9.20 × 10^4 W, so the tension  will be  :T = P/v = 9.20 × 10^4 /12 =  7666.66

so the tension in the tow rope is :  7666.66 -2283.33 =  5283.33 N

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the motor of a ski boat generates an average power of 2.74 × 10^4 W when the boat is moving at a constant speed of 12 m/s . when the boat is pulling a skier at the same speed, the engine must generate an average power of 9.20 × 10^4 W. what is the tension in the tow rope that is pulling the skier?

When the proton starts to move upward the direction of the magnetic force changes and when the proton moves straight up the magnetic force turns to the left.

The direction of the force is perpendicular to the direction of the magnetic field and current, as given by Fleming's left-hand rule. Here the magnetic field is to the right and the direction of the current is upward. Protons feel a force on themselves due to the magnetic field. The force on the proton is proportional to the proton's magnetic flux density and velocity.

The velocity and momentum of a proton are affected by the force acting on it. If the velocity of a charged particle is perfectly parallel to the magnetic field, the magnetic field exerts no force on the particle, so the velocity remains constant. The momentum of a proton moving freely in a magnetic field is the product of the proton's mass and the proton's velocity. As the speed of a proton moving in a magnetic field changes, so does the momentum of the proton.

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The magnitude of the force from the ground on each front wheel is  2775N.

Let us call the force on the front axle  F   and the force on the rear axle  R.

We know that    

⇒  F + R= total weight of vehicle  =  1360 * 9.80 =   13328 Newtons

And using torques, you know that  force on the front axle * distance to the center of mass  =  force on the rear axle * distance to the center

of mass

or         F *1.78   =  R * (3.05 - 1.78)

 So

   1.4016F  =  R

Then.

F +  1.4016 F  =  13328

F =   5550 N       and     R = 13328 - 5550  =  7778N

So the force on each front tire is    5550 /2  =   2775N

And the force on each rear tire is    7778 /2  =   3889N

Force is a push or pulls upon an item because of the object's interaction with some other object. Pressure is a power that can exchange the motion of an object. A force can reason an object with mass to alternate its speed, i.e., to boost up. pressure also can be described intuitively as a push or a pull. A force has each significance and course, making it a vector amount.

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The Method of Interaction It's a cooperative method for more effective teamwork.

A combination of hardware and software components that enables computer users to carry out a single job is known as an interaction technique, user interface technique, or input technique.

Four fundamental interaction tasks exist: position, text, select, and quantify. These can be carried out using a variety of hardware and software tools, each of which has been given a category based on its capabilities and qualities.

An interaction occurs when two or more factors have an impact on one another. If one investigates each of their effects independently, they may not have as strong an impact on a result as they might if they occur simultaneously and interact. Caffeine and painkillers are an example of such interaction.

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The relationship between gauge pressure and true pressure is Pg + Patm = Pabs

The pressure that is relative to atmospheric pressure is known as gauge pressure. Gauge pressure is regarded to be positive for pressures above atmospheric pressure and stated to be negative for pressures below atmospheric pressure. Atmospheric pressure is used as the reference point for gauge pressure.

It is possible to define gauge pressure as the difference between absolute pressure and atmospheric pressure.

Pg + Patm = Pabs

A pressure gauge is a device used to measure the pressure exerted by a fluid, which can be liquid or gas, per unit area. This pressure is expressed in terms of Newton per square meter or pounds per square inch. Absolute pressure is denoted as Pabs, atmospheric pressure as Patm, and gauge pressure as Pg.

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The energy extracted from inside the refrigerator during the same time period is 74.25 J.

Energy is the quantitative belongings this is transferred to a frame or to a physical device, recognizable within the overall performance of labor and in the form of warmth and mild. energy is a conserved amount, the law of conservation of electricity states that electricity may be transformed in shape, however no longer created or destroyed.

Calculated:-

The heat is delivered to the kitchen by the refrigerator =  81 j

The coefficient of performance of the refrigerator = 11

The heat extracted from inside the refrigerator = ?

The work done by the external agent to remove the heat = W = Qc/c

The heat delivered to the kitchen  Qh = Qc + W

                                                           Qh = Qc + Qc/c

The heat extracted from inside the refrigerator is Qc = QCH/c+1

                                                                                       = 11 × 81 /11 +1

                                                                                       = 74.25 J

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Acceleration : a. F=ma, mg cos(90°-θ)= ma, g cos (90°-θ)= a, g sin(θ) = a, g sin(30°)= a

b. v= u+(a*t), u=0, v= (a*t), v= ( g sin(30°) * 15 ).

What is Acceleration?

If an object's velocity changes, it is said to have been accelerated. An object's velocity can change depending on whether it moves faster or slower or in a different direction. A falling apple, the moon orbiting the earth, and a car stopped at a stop sign are a few instances of acceleration. Through these illustrations, we can see that acceleration happens whenever a moving object changes its direction or speed, or both.

Therefore, the acceleration and velocity are solve.
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The speed of the longitudinal wave is given or computed as 1.584 or approximately 1.6m/s.

A wave is a propagating dynamic disturbance of one or more variables in physics, mathematics, and related sciences. Periodic waves occur when values oscillate repeatedly about an equilibrium value at a certain frequency.

Longitudinal waves are those in which the medium's vibration is parallel to the wave's travel direction and the medium's displacement is parallel to the wave's propagation direction.

A longitudinal wave is an example of one. P-waves of ultrasonography from earthquakes

Compression, rarefaction, wavelength, amplitude, period, and frequency are all important characteristics of a longitudinal wave.

To estimate the above answer multiply wavelength and frequency to get the speed of a wave.

That is:

2.4 x 0.66

= 1.584

If the frequency is not given, one can divide 6 crests by 9.1 seconds to determine the frequency.

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Answer:

Grandma will arive [tex]\frac{1}{2}[/tex]hr later

Explanation:

[tex]s=20\\d=210 mi|\\ s=70 mi|h \\ \\ \frac{60}{1} =\frac{210}{+} = 3.5 hrs[/tex]

The parallel component of the total weight is 320 N.

The perpendicular component of the total weight is 554.3 N.

The components of the total weight of the builder and new roof tiles can be parallel component or perpendicular component.

The parallel component of the total weight of the builder and new roof tiles is calculated as follows;

Fn ( parallel ) =  W sin ( θ )

where;

Fn ( parallel ) =  W sin ( θ )

Fn ( parallel ) =  640 sin ( 30 )

Fn ( parallel ) = 320 N

The perpendicular component of the total weight of the builder and new roof tiles is calculated as follows;

Fn ( parallel ) =  W cos ( θ )

where;

Fn ( perpendicular ) =  W cos ( θ )

Fn ( perpendicular ) =  640 cos ( 30 )

Fn ( perpendicular ) = 554.3 N

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Missing mass converted into energy.

Four hydrogen nuclei (photons) combine to form a helium nucleus in the fundamental hydrogen fusion cycle. In the star's core, throughout this fusion cycle, energy is released; in other words, energy is released during this process.

Compared to the original four protons that joined together, the final helium-4 atom weighs less (see E=mc2). Because of this, the mass-energy equivalence of their interaction causes an excess of energy to be released from the Sun as heat and light.

The sun and the stars are propelled by fusion. In one instance of this kind of reaction, two hydrogen atoms combine to create an atom of helium. During the process, a portion of the hydrogen's mass is transformed into energy.

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Answer:

Velocity V = 13 m/s

Explanation:

Given:

m = 1.2 kg

p = 15.6 kg·m/s

__________

V - ?

Momentum:

p = m·V

Velocity:

V =p /m  = 15.6 / 1.2 ≈ 13 m/s

The ball will take 45 seconds to reach the ground.

U=0(since ball is dropping)

So, we have to find t=?

Given

a=-9.8m/s

S=45m

As we know,

S=ut+1/2at^2

so,

t^2=45×90/2

hence

t=45s.

so the time taken is 45 seconds.

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What Fiona did, so her friend could find the stars was to give her friends knowledge about the contents of the sky, such as the shape of planets and stars. Then when you want to see the stars, you have to stay away from light pollution, so the stars can be seen clearly.

Stars are celestial bodies that emit light caused by nuclear fusion reactions that produce energy that occurs in their cores. It should be noted that 'pseudo stars' are not stars, but planets that reflect light from other stars and appear to glow in the sky like a star. A planet or planetary star is an astronomical body orbiting a star or stellar remnant that is massive enough to have its own gravity.

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The intensity of the sound at a distance of 0.40 m from the source is 0,398 W/m²

Sound waves are classified as a longitudinal wave where the direction of propagation is parallel to the direction of vibration.

Sound intensity is formulated as follows:

I = P / A

I = Sound Intensity (W/m²)

P = Power of the Sound Source (W)

A = Area of the field through which the sound wave passes (m²)

Since the sound wave propagates in all directions, the area of the field traversed by this sound wave will form the surface area of the sphere, then:

I = P / (4πR²)

R = Surface radius (m)

So, The intensity of the sound at a distance of 0.40 m from the source is:

I = P / A

I = P / ( 4π . R² )

I = 0,80 / ( 4π . (0,4)²)

I = 0,398 W/m²

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The speed limit for a curved stretch of road with the coefficient of friction between the wheels and the road is 0.7 when the road is dry and 0.3 when the road is wet is √ 2.94 r m / s

Fc = m ac

Ff = μ N

N = m g

Fc = Centripetal force

m = Mass

ac = Centripetal acceleration

Ff = Frictional force

μ = Co-efficient of friction

N = Normal force

μ = 0.3 ( Wet value to taken to provide zero skidding under any condition)

g = 9.8 m / s²

The only force that is providing the centripetal force is frictional force.

m ac = μ m g

ac = 0.3 * 9.8

ac = 2.94 m / s²

ac = v² / r

2.94 = v² / r

v = √ 2.94 r m / s

Therefore, the speed limit for the curved stretch of road is √ 2.94 r m / s. She should perform her calculations with the coefficient of friction for wet pavement.

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The frictional force applied on the object if a horizontal force of 50N is applied on the object is 19.6 N

N = m g

N = Normal force

m = Mass

g = Acceleration dur to gravity

m = 10 kg

g = 9.8 m / s²

N = 10 * 9.8

N = 98 N

f = μ N

f = Frictional force

μ = Co-efficient of friction

For static friction,

μ = 0.4

f = 0.4 * 98

f = 39.2 N

For kinetic friction,

μ = 0.2

f = 0.2 * 98

f = 19.6 N

Since Applied force of 50 N is greater than the static frictional force of 39.2 N, the frictional force acting on the object is frictional force.

Therefore, the frictional force applied on the object is 19.6 N

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In a parallel circuit, each component is subject to the same voltage.

In a series circuit, the current flowing through each component is the same, and the voltage across the circuit equals the sum of the voltages across each component. The voltage across each component in a parallel circuit is the same, and the total current is the sum of the currents flowing through all of the components. In a series circuit, the components share the supply voltage. The voltage of the supply is equal to the sum of the voltages across components connected in series. There are two or more paths for current to travel through in a parallel circuit. Each element of the parallel circuit has the same voltage applied to it. The total amount of current coming from the source

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The amount of work done by friction in stopping the car is given as

Wx > Wy.

There are two cars moving with the same velocity

car X is more massive than car Y

mass of car X = Mx

mass of car Y = My

here given,  Mx >  My

The distance travelled will be the same as the initial velocity, and it is independent of mass.

Let, μ be the coefficient of kinetic friction

work done by the frictional force is given as:

F = μMg

Fx = μMxg

Fy = μMyg

W = F.s

Wx = μMxg.s

Wy = μMyg.s

Wx > Wy

The amount of work done by friction in stopping the car is given as

Wx > Wy.  

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The final speed of the car and minivan is 17.95 m/s

The mass of the car = 950 kg

The speed of the car = 22 m/s

The mass of the minivan = 1300 kg

The speed of the minivan = 15 m/s

The final speed of the car and minivan can be found using the conservation of momentum formula,

                 [tex]\displaystyle m_{1}v_{i1 } + m_{2}v_{i2} = m_{1}v_{f1} + m_{2}v_{f2}[/tex]

where [tex]\dispplaystyle m_{1}[/tex] is the mass of the car

           [tex]\dispplaystyle m_{2}[/tex] is the mass of the minivan

           [tex]\dispplaystyle v_{i1}[/tex] and [tex]\dispplaystyle v_{i2}[/tex] is the initial speed of the car and minivan respectively.

          [tex]\dispplaystyle v_{f1}[/tex] and [tex]\dispplaystyle v_{f2}[/tex] is the final speed of the car and minivan respectively.

As the two cars move together, they would have the same final speed, i.e.

                    [tex]\dispplaystyle v_{f1} = \dispplaystyle v_{f2} = \dispplaystyle v_{f}[/tex]

Thus, the above equation becomes,

                      [tex]\displaystyle m_{1}v_{i1 } + m_{2}v_{i2} = (m_{1} + m_{2})v_{f}[/tex]

Let us substitute the known values in the above equation, we get

                       (950 x 22) + (1300 x 15) = (950 + 1300) [tex]\displaystyle v_{f}[/tex]

                                  20,900 + 19.500 = 2,250 [tex]\displaystyle v_{f}[/tex]

                                                  40,400 = 2,250[tex]\displaystyle v_{f}[/tex]

                                     40,400 / 2,250 = [tex]\displaystyle v_{f}[/tex]

                                                               = 17.95 m/s

Therefore, the final speed is 17.95 m/s

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The distance the barrel sinks (in cm) after this additional weight is added is  108.6 cm

An object floats when the weight pressure on the object is balanced by the upward push of the water at the object. The upwards push of the water will increase with the extent of the item this is below water; it isn't tormented by the intensity of the water or the quantity of water.

Calculation:-

m = 30 kg

Fb ----- Bouyance force = ρgVd

Vd = volume  inside water

Fb = mg

 ρ v ₓ g = mg

1000 ×π/4 (0.9)²X₁ = m ---------------(1)

V = π/4(0.9)²X₁

After the person has stepped

Fb = ( 70 × 9.8 + 30 × 9.8)

1000 × π//4 (0.9)² × X₂ = 100 ------ (2)

(2) -(1)

 1000 × π/4*(0.9)² × (X₂ - X₁) = 1-- - 30

  (X₂ - X₁) = 1.086 m

Therefore the distance the barrel shrinks = 108.6 cm

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This is also known as the cut and weight method for determining the average thickness of plastic sheets.

The calculator below uses the formula (volume) x (density) = (weight) to calculate the theoretical thickness of a plastic film. "Film" is generally less than 1 mm thick, so the unit is μm. (If it is 1 mm or more, it is called a "sheet.") Generally, the micrometer method (JIS-C-2151) is used. Using a micrometer, measure the specified number of specified points in the width direction and length direction of the film. Film thickness has a significant impact on coating quality and cost. Measuring it and knowing which gauge to use is routine for every coater. Film thickness plays an important role in product quality, process control, and cost control and can be measured by various instruments.

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The approximate mass of a star cluster whose most massive stars left on  main-sequence star is RMC 136a1 with the estimated mass of RMC 136a1 is 315 solar masses, a solar mass is equal to the mass of the sun. In general, it takes a very long time for stars to form.

It is also assumed that the stars in the cluster are homogeneous or have properties similar to each other. The amount of time a star stays in a staging or sequencing stage is determined by its mass.

A star cluster is one of two different forms of stellar assemblages that are bound together by the gravitational attraction of their individual members, who are linked together physically by a shared origin.

Therefore, a  study of the system by the Hubble Space Telescope found that the cluster is made up of over 200 extremely bright stars. The biggest one was called RMC 136a1. The estimated mass of R136a1 is 315 solar masses, where 1 solar mass equals the solar mass

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Even if an object's speed is constant, it can nonetheless accelerate if its direction changes.

Newton postulated that an object will only accelerate in the presence of a net or unbalanced force.

An object's velocity (speed and direction) changes at a certain rate, which is called acceleration. As a result, even if an object's speed remains constant, its direction may shift, causing it to accelerate. But the acceleration of an object will be 0 if its velocity is constant.

According to Newton, an item will only accelerate if another force is operating on it that is net or imbalanced. If an imbalanced force is present, the object will accelerate and change its direction and speed, or both.

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The minimum magnitude of the force f is 21 N needed to cause the movement of a 5 kg box pulled by a horizontal force.

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