a car moving at 12.0 m/s crashes into a tree and stops in 0.31 s. calculate the force the seat belt exerts on a passenger in the car to bring him to a halt. the mass of the passenger is 70 kg.

The frequency of revolution of an electron with an energy of 100 ev in a uniform magnetic field of magnitude 35.0 mt is 9.78 x 10^5 Hz

What is cyclotron frequency?

A charged particle travelling perpendicular to the direction of an even magnetic field has a frequency that is known as the cyclotron frequency or gyrofrequency (constant magnitude and direction). The cyclotron frequency is determined by the centripetal force and magnetic Lorentz force being equal because that motion is always circular.

Kinetic Energy of the electron = 100 ev

                                                   = 100×(1.60×10^−19 J)

                                                   = 1.60×10 ^−17 J

The expression of kinetic energy of the electron in terms of the velocity-

E = mv^2/2

v = (2E/m)^1/2

Putting the values in the above expression we obtain the value of v,

v = ( 2 x 1.60 x 10 ^−17/ 9.1 x 10^-31)^1/2

  = 5.92 x 10^6 m/s

The radius of the circular path the electron moves inside a magnetic field is given as-

r = mv / eB

Putting the values we find,

r = (9.11×10^−31  kg)(5.92×10^6m/s)/ (1.6 x 10^-19 C)(35 x 10^-6 T)

 = 0.963 m

The orbital frequency is same as the velocity of the electron when it moves over the circular path, which is given as-

f = v / 2πr

 = (5.92×10^6 m/s)​/2π(0.963 m)

 = 9.78 x 10^5 Hz

Hence, the required frequency is 9.78 x 10^5 Hz

To learn more about cyclotron frequency from the given link

https://brainly.com/question/12946099

#SPJ4

​

The possible distance from the person to the other speaker is c) 8.1m

To determine the possible distance we first convert the frequency from kHz to Hz as follows;

As 1 kHz = 1000 Hz

Therefore; 0.50 kHz = 0.50 × 1000 = 500 Hz

Now we determine the wavelength as follows;

wavelength = v ÷ f

wavelength = 340 ÷ 500

wavelength = 0.68 meters

Half wavelength = 0.5 × wavelength = 0.5 × 0.68 = 0.34 meters

For the sound interference to be destructive, the second source must be an odd multiple of 1/2 wavelength away from the first, therefore we calculate the possible distance from the person to the other speaker as follows;

distance between the person and speaker + odd multiple of wavelength = possible distance from other speaker

5 m + 0.34 m = 5.34 m

5 m + 3 × 0.34 m = 6.02 m

5 m + 5 × 0.34 m = 6.7 m

5 m + 7 × 0.34 m = 7.38 m

5 m + 9 × 0.34 m = 8.06 m  

5 m + 11 × 0.34 m = 8.74 m

The value closest to any options provided above is 8.06 m therefore the correct option is 8.1 m.

Although a part of your question is missing, you might be referring to this question:

Two speakers are placed side by side and driven by the same frequency of 0.50 kHz. If the distance from a person to one speaker is 5.0 m and the person detects little or no sound, which of the following is a possible distance from the person to the other speaker? The sound speed in the room is 340 m/s

a) 8.4 m

b) 9.1 m

c) 8.1 m

d) 7.7 m

To learn more about frequency; click here:

https://brainly.com/question/16962899

#SPJ4

Q is the energy in coloumbs that passes through with an current heater in 20 minutes at an 8 amp current.

Charge moves across a point on the a circuit at a rate known as current. When numerous coulombs of charge pass over a wire's cross section in a circuit, a large current is the result. if the wire is tightly packed with charge carriers.

The electric current equation is I=V/R, and it can be used to determine electric current. This equation, which is based on Ohm's Law, is also referred to as the "current equation." The variables "I" and "V" stand for current, voltage, and resistance, respectively.

I=8Amph,

T=1hr=3600sec,

Charge flow Q=it

=8*3600

Q=28800C

To know more about current visit:

https://brainly.com/question/2264542

#SPJ4

the probabilities for an oscillating particle in its ground state to be found in a small interval of width dx at the center of the well and at the classical turning points is as the Pturning points is e times smaller than Pcenter.

The probability of finding the particle in a small interval of width dx around the point x (at the center of the well) is---

P (x) = |(x)|²dx

P (x) = (mωo/hπ)½ e^[(-mωo/h) *x²] dx

Putting in the values of x=0 and x=+_xo , we can compare the probabilities of the particle being in the center and of it being at the turning point, respectively

P (x=0) =(mωo/hπ)½ dx.........at center

P (x=+_xo) =(mωo/hπ)½ e-¹ dx.........at turning points

From this, we can see that the probability for the particle to be found at the turning point s is e times smaller than at the center.

To learn more about oscillating particles, visit ---

https://brainly.com/question/8520481

#SPJ4

The Maximum safest speed to travel at when navigating a curve is 71% of the normal speed.

In comparison to friction on a dry road, the friction coefficient of tyres sliding at 60 km/h on roads will rise during times of heavy rain and reduce on a wet road after a period of rainfall.

Water can change the amount of friction between two surfaces. Rubber tyres and paved roads have less friction when there is water present. Drivers must therefore take extra precautions to avoid sliding on slick roads. Water can make contact between your fingers and a plastic sheet more abrasive.

Learn more about friction here:

https://brainly.com/question/13000653

#SPJ4

The final pressure of a sample of a gas (5.0 mol) at 1.0 atm is expanded at constant temperature from 10 l to 15 l is 0.67 atm

Boyle's law states that at constant temperature of a given mass of confined gas, the product of its pressure and volume is also constant. Let P1 and V1 be the initial pressure and volume of the gas and P2 and V2 be the final pressure and volume of the gas.

P1 = 1 atm

V1 = 10 l

V2 = 15 l

According to Boyle's law,

P1 V1 = P2 V2

1 * 10 = P2 * 15

P2 = 10 / 15

P2 = 0.67 atm

Therefore, the final pressure is 0.67 atm

To know more about Boyle's law

https://brainly.com/question/1437490

#SPJ4

The angular acceleration of the drill is 2651.5 rotation/s².

We need to know about angular acceleration to solve this problem. The angular acceleration can be defined as the change in angular speed per interval of time. It can be written as

α = dώ / dt

where α is angular acceleration, dώ is change in angular speed and dt is interval of time.

From the question above, the given parameters are

ώ = 350000 rpm

t = 2.2 s

Change the angular speed unit to rotation per second

ώ = 350000 rpm

ώ = 350000 / 60 rps

ώ = 5833.33 rps

Find the angular acceleration

α = dώ / dt

α = 5833.33 / 2.2

α = 2651.5 rotation/s²

FInd more on angular acceleration at: https://brainly.com/question/1980605

#SPJ4

The frictional pressure opposes the movement of an item relative to its floor in contact unto which the force act upon.

However, the course of frictional pressure can be similar to the course of movement of the item. For example, at some point of on foot we observe a pressure withinside the backward course with our foot. When we carried out brake to the auto friction acts in contrary course of movement like if the auto circulate in east course the friction will act in west course.

We can say that friction act in contrary course hence,it continually opposes relative movement. Friction continually acts in contrary course to motion i.e it opposes the movement of an item. Air resistance is a frictional pressure which opposes movement thru air.

Read more about movement:

https://brainly.com/question/12234

#SPJ4

The typical goal is to maximize the portion of the spacecraft not used for propellant or, alternatively, to minimize the amount of propellant needed.

What is interplanetary travel?

Crewed or uncrewed interplanetary spaceflight, often known as "interplanetary travel," is the movement between stars and planets, typically within a single planetary system. In actuality, these kinds of spaceflights are limited to interplanetary travel only.

What is the trajectory?

A moving object that follows a path through space as a function of time is said to be following a trajectory. A "trajectory" is a description of an object's position over a specific period of time in mathematics.

The typical goal is to maximize the portion of the spacecraft not used for propellant or, alternatively, to minimize the amount of propellant needed. Of course, as is frequently the case in continuous dynamical system optimization, it is typically necessary to provide some reasonable upper bound for the final time; otherwise, the optimizer will substitute time for fuel.

Therefore, The typical goal is to maximize the portion of the spacecraft not used for propellant or, alternatively, to minimize the amount of propellant needed.

Learn more about interplanetary travel from the given link.

https://brainly.com/question/13407951

#SPJ4

One end of the taut cable is pulled, causing a transverse pulse to be created. In 0.835 seconds, the pulse travels four times down the cable and four times back then the tension in the ethernet cable is determined as 67 N.

It is given to us that -

Ethernet cable is 3.90 m long => l = 3.90 m

and has a mass of 0.190 kg => m = 0.190 kg

It is also given that the transverse pulse makes four trips down and back along the cable in 0.835 s.

=> time taken, t = 0.835 s

We have to find out the tension in the cable.

We know that

Speed = Distance/Time ----- (1)

Since the transverse pulse applied on the ethernet cable makes four trips down and back along the cable, the total distance travelled by the pulse = 4 * (2l)

Now, using equation (1) we can find out the speed of the pulse by -

[tex]v = \frac{4*2*3.90}{0.835} \\= > v = 37.36[/tex] m/s ---- (2)

We also know that the mass density of the pulse can be determined by the formula -

μ = [tex]\frac{m}{l}[/tex] ------ (3)

where,

m = mass of the cable

l = length of the cable

Substituting the given values of mass and length of the cable in equation (3), we can find out the mass density of the pulse as -

μ = [tex]\frac{m}{l} = \frac{0.190}{3.90} = 0.048[/tex] kg/m ------ (4)

We also know that the tension in the cable can be represented by the formula -

T = μ[tex]v^{2}[/tex]  ----- (5)

Substituting the values of v and μ from equations (2) and (4) respectively, we can find out the tension in the cable as -

T = μ[tex]v^{2}[/tex]

=> T = 0.048 * [tex](37.36)^{2}[/tex]

=> T = 67 N

Thus, the tension in the ethernet cable is determined as 67 N.

To learn more about tension in cables visit https://brainly.com/question/29296746

#SPJ4

Tensions in each examples are, T=222.264 N, T=0 T=148.176 N, T=111.132 N.

Given,

m=100lbs,=45.46 kg

(a) 2T= mg

T=mg/2

=(45.46×9.8)/2

T=222.264 N

(b) For pulley

2T= mg

T=mg/2

T=222.264 N

For pulley 2:

2T=[tex]W_p_u_l_l_e_y[/tex]=0

T=0

(c) Here 3T=mg

T=mg/3

T=148.176 N

(d) Pulley 1:

3T=mg

T=148.176 N

Pulley 2:

T-(-T)=0

2T=0

T=0

(e) Pulley:

4T=mg

T=mg/4

T=111.132 N

From the above cases we can say that the directional advantages exist as the tension get divided to those string which are connected to that weight only.

To know more about tension here:

https://brainly.com/question/15880959

#SPJ4

The radius of its orbit is 102.22 km

The proportionality constant utilized in Newton's Law of Gravitation is the gravitational constant. The universal gravitational constant, abbreviated G and measured in Nm2/kg2, is the gravitational force that attracts any two unit masses separated by a unit distance.

Earth's acceleration caused by gravity, or the magnitude of g, is 9.8 m/s2. According to this, an item falling freely on Earth would accelerate by 9.8 meters per second. The gravity of the Earth is to blame for this acceleration.

For this question, force caused by the satellite from the planet must be round about equal to the Centrifugal force :

[tex]F_{g} = F_{c[/tex]

[tex]\frac{GMm}{r^2}[/tex] = [tex]mw^2r[/tex]

where ;

G = gravitational constant and this value is constant = 6.67 × [tex]10^-^1^1[/tex]

m = mass of the earth and

r = distance

Using the concept of period through the angular velocity, we have

[tex]\frac{GM}{w^2}[/tex] = [tex]r^3[/tex]

Substitute the value and we will get

[tex]r^3[/tex] = 1068193.154

r = 102.22 km

To know more about gravitational constant you may visit the link;

https://brainly.com/question/858421

#SPJ4

State function is the property do not depend on the path taken to reach that specific value.

As, we know the property or a feature which does not rely upon the course is known as a state characteristic. Work-achieved in adiabatic processes is equal to the bad of trade in inner power from the primary regulation of thermodynamics. So, it is a state function.

Path functions are houses or portions whose values rely on the transition of a machine from the preliminary kingdom to the final state. the two most common path functions are warmth and paintings.

From all of the above given thermodynamic quantities, work is the best property which depends at the course accompanied by using the system i.e. on the preliminary and the final states of the system. on the opposite, the rest all others i.e. internal energy, enthalpy and entropy are path independent.

Learn more about state function here:- https://brainly.com/question/28956377

#SPJ4

The bob swings from a position of greatest displacement to the pendulum's equilibrium position in the least period of time possible is 2.4 seconds.

As a result, the mass of the bob has no effect on the basic pendulum's time period. As a result, the pendulum's period is unaffected if the bob's mass rises.

A simple pendulum's bob is moved from its equilibrium position O to a position Q that is h heights above O, and then it is let go. assuming the bob's mass to be m and time period of oscillations to be 2 s, the tension in the string, when the bob passes through O

Learn more about displacement here:

https://brainly.com/question/11934397

#SPJ4

According to given question by applying the centripetal force, the speed of the ball is 12.18 m/s.

The definition of force in physics is: This push or draw on a massed object changes its velocity. An unseen factor is an agency that has the power to alter the resting or movement condition of a body. It has both a trajectory and a size.

There are several instances of energies in daily life, including: heft and drive (i.e. the weight of something) is force a swing applies to a ball. the pressure that a hair applies to hairs when stroking it. the pressure your foot applies to the pedal whenever you're riding your bike.

To know more about Force visit:

brainly.com/question/3354744

#SPJ4

If hiring one, two, three, or four workers at a glass factory generates total outputs of 200, 350, 450, or 500 fancy glasses, respectively. The marginal product of the fourth worker is 50 fancy glasses

Marginal product = ( Qn - Qn-1 ) / ( Ln - Ln-1 )

Qn = Output at n

Qn-1 = Output at n - 1

Ln = Number of workers at n

Ln-1 = Number of workers at n - 1

For the fourth worker,

Qn = 500

Qn-1 = 450

Ln = 4

Ln-1 = 3

Marginal product = ( 500 - 450 ) / ( 4 - 3 )

Marginal product = 50 / 1

Marginal product = 50

Therefore, the marginal product of the fourth worker is 50 fancy glasses

To know more about marginal product

https://brainly.com/question/13117735

#SPJ4

The induced electromotive force in the bar is 0.206 volt.

It is the creation of a potential difference in a coil as a result of variations in the magnetic flux flowing through it. To put it another way, it is said that electromotive force, or EMF, is induced when the flux connecting with a conductor or coil changes.

Given parameters:

Length of the bar: l = 0.12 meter

Speed of the bar: v = 29.6 m/s.

Magnetic field: B = 58 mT = 58 × 10⁻³ T.

Hence,  the induced electromotive force in the bar: ε = lvB

= 0.12 × 29.6 × 58 × 10⁻³ Volt

=0.206 volt.

Hence, the induced electromotive force in the bar be 0.206 volt.

Learn more about induced electromotive force here:

https://brainly.com/question/3660151

#SPJ1

The critical angle at the air-water boundary [tex]\theta _{c}=sin-1(1/1.33) =48.6 degree[/tex].

The critical angle can be calculated from Snell's law by setting the refraction angle  For each angle of incidence less than the critical angle some of the incident light is transmitted and some are reflected. Total internal reflection occurs when the angle of incidence at the water-air boundary exceeds 48.8 degrees.

The critical angle in optics is the maximum angle at which a ray of light traveling in a transparent medium can strike the boundary between that medium and a second medium with a lower refractive index without undergoing total internal reflection in the first medium angle.

Learn more about The critical angle here:-https://brainly.com/question/15009181

#SPJ4

The least interference when (A1 - A2)2 is the phase difference between adjacent slits.

A phasor is a complex number that represents a sinusoidal function in physics and engineering whose amplitude, angular frequency, & beginning phase are all time-invariant. Phasors are revolving vectors with an angular rate similar to a angular frequency of a oscillations and a length equal to a peak value of the oscillations. When illustrating the phase relationship between the two or more oscillations, they are useful. They can be used to add or eliminate oscillations.

Phasor diagrams show an oscillating quantity as a rotating vector in phase space with an angular velocity equal to the original trigonometric function's angular frequency. The value of the quantity at a given moment can be determined by projecting the phasor onto an axis at that time.

Let A1 represent the first wave's amplitude and A2 represent the second wave's amplitude.

Let the resultant amplitude be A. Using the interference formula, we obtain,

A= (A1)²+(A2)²+ 2×A₁× A₂ (cos theta)

When theta = 180 degrees = π radian, cos π= -1

When we plug the cos theta value into the equation, we get,

A= (A1)² +(A2)² - 2×A1×A2

A= ( A1 -A2)²

To know more about  Phasor Diagram visit:

https://brainly.com/question/14673794

#SPJ4

The back EMF of the motor is 44.7 m.

We know that EMF is directly proportional to angular velocity, thus if angular velocity becomes half then the EMF also becomes half.

Number of field poles = p

Flux per pole = Ф

Number of armature conductor = Z

Number of parallel paths = A

Rotational Speed in rpm = n

Now,

Average EMF generated per conductor = dФ/dt

Flux cut by one conductor in one revolution = dФ = pФ Weber

Number of revolutions per second = N/60

Time required for one revolution = t

= t = dФ/dt = ( pФN ) /60 sec

EMF generated per conductor = dФ/dt = ( pФN ) /60 Volts

The EMF generated in one conductor of the generator. The conductors are connected in series per parallel path, and the emf across the generator terminals is equal to the generated emf across any parallel path.

Thus,

= E = ( pФNZ ) /60 Ampere

To know more about EMF:

https://brainly.com/question/28143143

#SPJ4

The wedge moves to the left (without friction) If the speed of the wedge when the block reaches the flat surface is 0.28ms, the height of the wedge is 5m

A wedge is a simple machine that uses a small force P to lift a heavy weight W. To calculate the force required to push the wedge in or out, draw FBDs of the wedge and the object on top of it. = 0 to the wedge and the object, as well as the frictional equation for impending motion, F = S N. The desired angle of correction () and the actual tibial width () are used to calculate the actual wedge height (y) (x). Actual tibial width should be measured at 2.02.5 cm distal to the joint line and normalized based on magnification. Wedge Volume = Cross Sectional Area x Tank Breadth.

Distance needs to be calculated in meters

Learn more about friction here:

https://brainly.com/question/13000653

#SPJ4

Supernova debris moves about 100 times faster than the Sun. The gravity of galaxy alone would not retain the supernova debris.

A planet's orbital velocity modifications, depending on how far it's far from the solar. The closer a planet is to the solar, the more potent the sun's gravitational pull on it, and the quicker the planet actions. The farther it's far from the sun, the weaker the Solar's gravitational pull, and the slower it moves in its orbit.

Hubble's law, which says certainly that a galaxy's speed is directly proportional to its distance, additionally tells us some thing important approximately the country of the universe. If the universe is static and unchanging, there should be no correlation among distance and pace.

They must come to be greater turbulent. It produces so much visible light that it is opaque and blocks our view of anything beyond it. It reflects most light from far distances of the galaxy away from our line of sight. A star starts offevolved its time on the principle sequence with 10 solar loads.

Learn more about Supernova debris here:- https://brainly.com/question/28021391

#SPJ4

When there is no net force on the particle 0, the value of d₁/d₂ is √(q₂/q₁).

The distance of the particle 0 from the particle 1 is d₁ and the distance of the particle o from the particle 2 is d₂.

The particle 0 is experiences attraction from particle 2 and repulsion from particle 1.

The charges on the particle 1 and particle 2 are q₁ and q₂ respectively.

So, to experience no net force, the electrostatic forces on the particle 0 from both the particles should be equal, so we can write,

F₁ = F₂

Kq₁q₂/d₁² = Kq₁q₂/d₂²

Now, rearranging the equation,

d₁/d₂ = √(q₂/q₁)

So, the ratio of the distances is given as √(q₂/q₁).

To know more about electrostatic force, visit,

https://brainly.com/question/17692887

#SPJ4

A As the projectile goes upward, what energy changes take place the energy is gravitational energy.

At the beginning, the projectile can have kinetic electricity because of the preliminary velocity, and we know, via way of means of conservation of electricity, that if there may be no friction withinside the air, the kinetic electricity of the item could be converted into gravitational capability electricity because the peak increases.

In Part A As the projectile goes upward, what energy changes take place then the energy change is gravitational energy change.

Read more abut energy:

https://brainly.com/question/25959744

#SPJ4

In Charle's law, volume occupied by a fixed amount of gas is directly proportional to its absolute temperature, if the pressure remains constant.Hence, correct options are A , B and C.

Gases have a tendency to expand when heated, according to the experimental gas law known as Charle's law. The Kelvin temperature and the volume will be directly proportional when the pressure on a sample of a dry gas is held constant, according to a modern interpretation of Charles's law. According to Harles' Law, a gas's volume at a constant pressure is directly proportional to its Kevin temperature for a given mass. V1/T1=V2/T2 is how the relationship between temperature and volume is expressed mathematically. The balloon will revert to its original shape once you are back in a warm environment, though. This is due to Charles' Law, which states that a gas, in this case, helium, occupies more space when it is warm.

Learn more about Charle's law here:

https://brainly.com/question/16927784

#SPJ4

The relations among the force magnitudes Work, k, N and F is none of the above.

What is force?

Force is the push or pull on any given object that can change the velocity of the object. It has both magnitude and direction which has the formula F = ma, where F is force, m is mass and a is acceleration.

Let the force be at angle θ to be horizontal. The block is in equilibrium, so

∑Fx = 0

F cosθ - k = 0

F = k secθ (> k)

∑Fy = 0

F sinθ + N -W = 0

N = W - F sinθ (<W)

Therefore, the relation of force magnitudes can be written as F>k and N<W, the correct answer is e).

To know more about force click on the given link https://brainly.com/question/12785175

#SPJ4

The answer to the given question is 1.90084 mm and the antenna was compressed to 19 cm respectively.

calculations;

assuming;

m = 400 kg be the total mass compressing the antenna,

h = 610 m be the height of the antenna,

g = 9.81 m/s² be gravitational acceleration,

E = 200 GPa = 2×108 N/m² be Young's modulus of steel.

The mass m applies vertical force F = mg

The cross-section of the antenna is S = πr²

Let Δh be the compression of the tower to be calculated.

By the definition of Young's modulus

Δh/h = F/(S×E)

Therefore

Δh = (h×F)/(S×E) = (h×m×g)/(πr²×E)

Substituting actual numbers

Δh = (610×414×9.81)/(π×0.15²×2×108) = 0.190084 mm

The antenna was compressed about 19 cm.

Learn more about antennas here; https://brainly.com/question/6849706

#SPJ4

A thermal infrared sensor camera detects infrared radiation and uses this information to create a picture.

In thermal or infrared detection systems, sensors are used to detect radiation in the infrared region of the electromagnetic spectrum. The thermal energy or heat produced by the scene being watched is detected by an infrared camera, which then transforms it into an electrical signal. After that, this signal is processed to create an image. An infrared camera's ability to detect heat can be quantified very precisely. Infrared cameras can be used to assess thermal performance and gauge the intensity of heat-related issues. In general, bodies and objects produce more radiation when they are heated up. Walls and other solid things cannot be seen through infrared cameras. They are limited to measuring heat.

To know more about the infrared detection camera, visit:

https://brainly.com/question/20009656

#SPJ1

There is no change in kinetic energy because the block is travelling at a steady pace. The net work on the block is 0 since work is the change in kinetic energy, and there is none.

.kinetic energy. is the ONE of the  energy. that an object has as a result of motion. It is defined as the effort necessary to move a mass-based body from rest to the given velocity. In the absence of a change in speed, the body retains the kinetic energy it acquired during acceleration. Kinetic energy is the energy that is present in a moving object. You strolling down the street, molecules moving in space, and the planet rotating around the sun all have kinetic energy. The relationship between an object's kinetic energy and mass and square of its velocity is direct. A particle, an object, or a collection of particles can move because of kinetic energy, which is the force that drives motion.

Learn more about kinetic energy here:

https://brainly.com/question/26472013

#SPJ4