You have been called as an expert witness for a trial in which a driver has been charged with speeding but is claiming innocence. He claims to have slammed on his brakes to avoid rear-ending another car, but tapped the back of the other car just as he came to rest. You have been hired by the prosecution to prove that the driver was indeed speeding. You have received data as follows from the police: skid marks left by the driver are 60.0 m long and the roadway is level. Tires matching those on the car of the driver have been dragged over the same roadway to determine that the coefficient of kinetic friction between the tires and the roadway is 0.620 at all points along the skid mark. The speed limit on the road is 35 mi/h. Construct an argument to be used in court to show that the driver was indeed speeding. (Enter the speed of the driver, in mi/h, just before braking.)

Answers

Answer 1

Answer:

v₀ = 60.38 mi / h

Explanation:

For this exercise let's start by using Newton's second law

Y axis

        N-W = 0

        N = W

X axis

         fr = m a

the expression for the friction force is

         fr = μ N

we substitute

        μ mg = m a

        μ g = a

calculate us

         a = 0.620   9.8

         a = 6.076 m / s²

now we can use the kinematics relations

          v² = v₀² - 2 a x

suppose v = 0

          v₀ = [tex]\sqrt{2ax}[/tex]

let's calculate

         v₀ = [tex]\sqrt{2 \ 6.075 \ 60.0}[/tex]

         v₀ = 27.00 m / s

let's slow down to the english system

          v₀ = 27.0 m / s (3.28 ft / 1m) (1 mile / 5280 ft) (3600s / 1h)

          v₀ = 60.38 mi / h

With this stopping distance, the starting speed should have been 60.38, which is much higher than the maximum speed allowed.


Related Questions

If the force of gravity changes what will happen and what would cause it to change?

Answers

we will fall to pluto.

What is the impulse required to stop a 4.8 kg mass traveling at 18.9 m/s?
Report your answer to 1 decimal place.

Answers

Answer:

MASS=4.8KG

VELOCITY= 18.9

Put into the formula.

Explanation:

Impulse= Mass* change in velocity, it gives you everything you need to input it into the formula

A car of mass 1800000 g, going 150 km/h rear ends a truck, 5500 kg going 100000 m/h. What are their velocities after an elastic collision in one dimension?

Answers

Answer:

v = 2099.5 km/h, v' =  -618.8 km/h

or

v =-1996.6 km/h, v' = 721.7 km/h

Explanation:

From the law of conservation of momentum,

Total momentum before collision = Total momentum after collision

For elastic,

mu+m'u' = mv+m'v'..................... Equation 1

Total kinetic energy before collision is equal to total kinetic energy after collision

mu²+m'u'² = mv²+m'v'²............. Equation 2

Where m and m' are the mass of the car and truck respectively, and u and u' are the initial velocity of the car and the truck respectively, v and v' are the final velocity of the car and the truck respectively.

Given: m = 1800000 g = 1800 kg, m' = 5500 kg, u = 150 km/h, u' = 100000 km/h

Substitute these values into equation 1 and 2

1800(150)+5500(100000) = 1800v+5500v'

1800v+5500v' = 375500................... Equation 3

1800(150²) +5500(100000²) = 1800v²+5500v'²...................... Equation 4

Solving equation 3 and 4 simultaneously,

v = 2099.5 km/h, v' =  -618.8 km/h

or

v =-1996.6 km/h, v' = 721.7 km/h

1 gram of radium is reduced by 3.1 mg in 5 years by alpha decay.
Calculate the half-life of radium.

Answers

Answer:

1 gm = 1000 mg

N = No e^-y t       where y = lambda the decay constant

N / N0 = .9969

ln .9969 = - y t

-.00310 = - 5 y

y = .00310 / 5 = .000621

So the half-life = .693 / y

T^1/2 = .693 / .000621 = 1116 or about 1120 yrs

How least count determine the precision of a measurement?

Answers

Explanation:

The least count of the normal scale is 1mm whereas the least count of vernier calliper is 0.01 mm

It is 32 degrees F outside. What is this in Kelvin?​

Answers

Answer:

273.15

Explanation:(32°F − 32) × 5/9 + 273.15 = 273.15K

The volume of the vessel is reduced twice,and the number of molecules is reduced three times.How the pressure will change gas?​

Answers

Answer:

     P₁ = ⅔ P₀

Explanation:

For this exercise we can use the ideal gas equation

         PV = n R T

let's write the equation for the initial point, where we will use the subscript o and the end with subscript 2

         

Suppose the temperature does not change in the process

        P₀V₀ / n₀ = P₁V₁ / n₁

They tell us that

      V₁ = V₀ / 2

       n₁ = n₀ / 3

 

we substitute

     [tex]P_o \frac{V_o}{n_o} = P_1 \frac{V_o}{2} \frac{3}{n_o}[/tex]  

        P₀ = [tex]\frac{3}{2}[/tex]     P₁  

        P₁ = ⅔ P₀

PLEASE PLEASE HELP!! Do ultraviolet light or microwaves have a higher frequency?

Answers

Answer:The different types of radiation are defined by the the amount of energy found in the photons. Radio waves have photons with low energies, microwave photons have a little more energy than radio waves, infrared photons have still more, then visible, ultraviolet, X-rays, and, the most energetic of all, gamma-rays.

Explanation:

A 4 kg particle moves at a constant speed of 2.5 m/s around acircle of radius 2 m. What is its angular momentum about the center of the circle? Answerin units of kg · m2/s. What is its moment of inertia about an axis through the center ofthe circle and perpendicular to the plane of the motion? Answer inunits of kg · m2. What is t

Answers

Explanation:

Given that,

Mass of the particle, m = 4 kg

Speed of the particle, v = 2.5 m/s

The radius of the circle, r = 2 m

We need to find the angular momentum about the center of the circle. The formula for the angular momentum is given by :

[tex]L=mvr[/tex]

Substitute all the values,

[tex]L=4\times 2.5\times 2\\\\L=20\ kg{\cdot}m^2s[/tex]

So, the angular momentum of the particle is 20 kg-m² s.

In a laser cutting process of aluminum plates of 1mm thick, a through hole is to be drilled, followed by melting-dominated cutting. If the focused laser beam is 0.25 mm in diameter (assuming it is the same of the cut width w), (a) In order to drill a hole through the plate in 1 ms, determine the laser power required. (b) In the cutting, the laser power is adjusted to be 1,500W. Determine the cutting velocity V achievable.

Answers

Answer:

a) P = 118.4 W,  b) t = 7.9 10⁻⁵ s

Explanation:

a) Let's analyze this interesting exercise a bit, we suppose that all the laser

energy is used to heat the aluminum, we should calculate the energy necessary to bring the solid aluminum to the melting temperature and add the energy to carry out the change of solid state to liquid,  

let's use the calorimeter equation  

Q₁ = m c_e ΔT

 

and the energy of change of these solid to liquid (fusion process)  

Q₂ = m L  

the energy required to create the hole is  

Q_ {total} = Q₁ + Q₂  

if there are no losses this is the laser energy  

E = Q_ {total}

The aluminun data c_e =9000 J/kgC, L = 322 103 J/kg, ρ = 2.7 103 kg/m3 , T₂ = 660C, T₀= 25C

Let's find the mass of the hole, which we approximate by a cylinder of diameter d = 0.25 mm = 0.25 10⁻³ m and a thickness of e = 1 mm = 1 10⁻³ m  

let's use the concept of density  

ρ = m / V

the volume of a cylinder is  

V = π r² e = π (d²/4)  e  

we substitute  

m = [tex]\rho \pi \frac{d^2 e}{4}[/tex]

 

let's calculate  

m = π/4  2.7 10³ (0.25 10⁻³)²  1 10⁻³  

m = 1,325 10⁻⁷ kg

we calculate the energy  

E = 1,325 10⁻⁷  900 (660 - 25) + 1,325 10⁻⁷ 322 10³  

E = 7.57 10⁻² + ​​4.27 10⁻²  

E = 1.184 10⁻¹ J

Let's use the power ratio  

P = E / t  

P = 0.1184 /1 10⁻³  

P = 118.4 W

 

b) In this part they indicate that the laser power is P = 1500 W, find the time to deposit the energy to melt the aluminum  

P = E / t  

t = E / P  

t = 0.1184 / 1500  

t = 7.9 10⁻⁵ s

It has been shown that the half-life for this radioactive isotope is 20 years. In the year 2000, an archaeology team unearths pottery and is using this isotope for radiometric dating to place the age of the pottery. It is shown that 95% of the nuclei have decayed. How much mass has decayed? How much mass is left?

I'd prefer to be shown a step-by-step on how to solve for these questions. I do better with seeing the step-by-step, and can retain the information better.

Answers

Answer:

(1/2)*n = .05      by the definition of half-life where n is the number of half-lives

n ln .5 = ln .05

n = ln .05 / ln .5 = 4.32   number of half-lives

So 4.32 * 20 = 86.4 years    has passed

Actually, they only want the mass left. However, all that has changed is that

95% of the original radioactive atoms have changed to a different form of about the same amount of mass. The amount of mass remaining would be about the same. Also, one doesn't know the percentage of radioactive atoms

that formed the original mass.

What is Compression?​

Answers

Answer:

Compression, decrease in volume of any object or substance resulting from applied stress. Compression may be undergone by solids, liquids, and gases and by living systems.

Explanation:

| Britannicahttps://www.britannica.com

When two trains, going in opposite directions, are passing on tracks that are laid out close together, the train cars can often be seen to be leaning in toward one another where they are in proximity. How might the air passing through the narrow gap separating the two trains contribute to the observed attraction between their cars?

Answers

When there is air in between two objects, it pulls them together because of the pressure of the air

To measure the internal diameter of a beaker one would reliably use______.​

Answers

Answer:

Vernier calipers is used to measure the internal diameter of a beaker

a piece of clay with mass m is traveling with an unknown velocity in the positive x-direction, when it collides and sticks to a block of mass 3m, moving with velocity v=-3m/s. after the collision, the block and clay are stuck together and traveling with a velocity of 1 m/s in the negative x-direction. what was the original velocity of the clay mass?

Answers

Answer:

13 m in the + x direction.

Explanation:

Givens

m1 = m

m2 = 3m

v1= ? = x

v2 = - 3 m/s

v3 = v4 = - 1 m/s

Equation

Let x be the speed of the lighter object before collision.

Momentum before collision = momentum after collision

Solution

mx   - 3m * 3m/s = (m1 + m2)*(-1)

m(x - 3*3m/s) = (m + 3m)(-1)

m(x - 9) = - 4m                                      Cancel the ms

x - 9 = 4                                                 Add 9 to both sides

x = 9 + 4

x = 13 m/s

Question 10 of 10
Which of the following is an example of a surface wave?

Answers

Answer:

gravity wave

Explanation:

a force acting on a body of mass 24 kg produces an acceleration of 12ms ^-2 . what acceleration will the same force produce in a body of 10 kg


please give answers if they are right and you know how to do it​

Answers

Answer:  a = 28,8

Explanation:

[tex]F = ma[/tex]

m = 24 , a = 12

[tex]F=ma\\\\F = 24 x12\\\\F=288[/tex]

Same force :

m = 10

a = ?

F = 288

[tex]F = ma \\\\288 = 10xa \\\\28,8=a[/tex]

What do all magnets have in common? Select all that apply.

magnetic domains are aligned

magnetic domains are not aligned

movement of protons creates a magnetic field

all magnets have opposite poles ( a North pole and South pole)

movement of electrons creates a magnetic field

moving electrons generate magnetic fields

Answers

Answer:

all magnets have opposite poles (north and south)

magnetic domains are aligned

moving electrons generate a magnetic filed

movement of electrons creates a magnets field

A student is provided with a rubber cylinder and a patch of synthetic fur. The rubber cylinder and the patch are electrically neutral. The student rubs the cylinder back and forth along the fur. A short time later, after the cylinder and fur have been placed on insulating stands, the student determines that the fur has a net negative electric charge. Before the patch of fur attained its net negative charge, it was considered to be electrically neutral. Which of the following claims, with appropriate evidence, is correct about the distribution of charge in the patch of fur before the charging process?

a. It is an isolated system.
b. It is a closed system.
c. It is an open system.
d. The type of system cannot be determined unless information is known about the net force exerted on the system at any given time.

Answers

Answer:

Option b ( It is a closed system) is the appropriate answer.

Explanation:

The mass transfer isn't made on a platform. There seems to be no mass transfer, the mechanism can't be separated as power lines will interfere beyond the physical boundaries including its fur patch.The mechanism can't however be separated and, while the mass transfer is indeed not present, several field lines will communicate well outside the mechanism.

The other options are not linked to the situation in question. Thus, the answer is correct.

What is Kirchoff law​

Answers

Answer:

.

Kirchhoff's circuit laws are two equalities that deal with the current and potential difference (commonly known as voltage) in the lumped element model of electrical circuits. They were first described in 1845 by German physicist Gustav Kirchhoff.[1] This generalized the work of Georg Ohm and preceded the work of James Clerk Maxwell. Widely used in electrical engineering, they are also called Kirchhoff's rules or simply Kirchhoff's laws. These laws can be applied in time and frequency domains and form the basis for network analysis.

Both of Kirchhoff's laws can be understood as corollaries of Maxwell's equations in the low-frequency limit. They are accurate for DC circuits, and for AC circuits at frequencies where the wavelengths of electromagnetic radiation are very large compared to the circuits.

What determines the precision of a measurement?

Answers

Answer:

Precision is determined by a statistical method called a standard deviation To determine if a value is precise find the average of your data, then subtract each measurement from it

PLEASE ILL GIVE BRAINLIST Which term describes the high point of a transverse wave?
O A. Crest
O B. Compression
O C. Rarefaction
O D. Trough

Answers

Answer:

I belive that the answer is the A

Crest describes the high point of a transverse wave. Therefore, the correct option is option A.

Transverse waves are those which oscillate in directions that are opposite to the wave's forward motion. Electromagnetic radiation, seismic waves, or water surface ripples are all examples of transverse waves.

A simple transverse wave can be represented by a sine or cosine curve because any point's amplitude—that are, its distance from the axis—is proportional to the sine (or cosine) associated with that angle. Crest describes the high point of a transverse wave.

Therefore, the correct option is option A.

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A solenoid that is 69.3 cm long has a cross-sectional area of 24.0 cm2. There are 1260 turns of wire carrying a current of 8.78 A. (a) Calculate the energy density of the magnetic field inside the solenoid. (b) Find the total energy in joules stored in the magnetic field there (neglect end effects).

Answers

Answer:

a) 34.17J/m^3

b) 0.0468 J

Explanation:

a) Calculate the energy density of the magnetic field inside the solenoid as follows:

[tex]u_{B} &=\frac{U}{A l} \\ &=\frac{L I^{2}}{2 A l} \quad\left(U=\frac{1}{2} L I^{2}\right) \\ &=\frac{\mu_{0} N^{2} A I^{2}}{2 A l^{2}} \quad\left(L=\frac{\mu_{0} N^{2} A}{l}\right) \\ &=\frac{\mu_{0} N^{2} I^{2}}{2 l^{2}}[/tex]

Substitute the corresponding values in the above equation.

[tex]u_{B} &=\frac{4 \pi\left(10^{-7}\right)(1260)^{2}(8.78)^{2}}{2(0.693)^{2}} \\

&=34.17 \mathrm{~J} / \mathrm{m}^{3}[/tex]

b) Calculate the total energy stored in the solenoid as follows:

[tex]U &=u_{B} A l \\ &=(34.17)\left(24 \times 10^{-4}\right)\left(69.3 \times 10^{-2}\right) \\ &=0.0468 \mathrm{~J}[/tex]

What is the energy of an electromagnetic wave that has a frequency of 5.0 * 10^5 Hz? Use the equation E=hf, where h=6.626 * 10^-34 J*s.

I will mark brainliest!!! :)

Answers

Answer:

3.3*10^-28j

Explanation:

A P E X

The energy of an electromagnetic wave that has a frequency of 5.0 * 10^5 Hz is 3.3 * 10 ^ -28 J

What is Electromagnetic waves ?

Electromagnetic waves are the waves that are created as a result of vibration between an electric field and  a magnetic field . They are composed of oscillating magnetic and electric field

Energy of Electromagnetic waves can be calculated by

Energy = h * f             where  h = plank's constant = 6.626 * 10^-34 J s.

                                                f = frequency of electromagnetic waves  

given :  h =  6.626 * 10^-34 J s.

            frequency =  5.0 * 10^5 Hz  

Energy  of  electromagnetic waves = (6.626 * 10^-34 J s)  *( 5.0 * 10^5 Hz)

                        = 33.13 * 10 ^ -29 J

                        = 3.3 * 10 ^ -28 J

correct answer is c)3.3 * 10 ^ -28 J

Learn more about electromagnetic waves  

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Which statement best describes how resources are distributed? ​

Answers

according to it's nature

Why can’t human males be carriers for sex linked (x-linked) disorders?

Answers

Answer:

This is because the X chromosome is large and contains many more genes than the smaller Y chromosome. In a sex-linked disease, it is usually males who are affected because they have a single copy of X chromosome that carries the mutation.

Explanation:

What is the motion of an apple when it falls from a tree ? a)Constant b)accelerating c)decelerating d)zero​

Answers

The motion of an apple when it falls from a tree is

b) Accelerating

The motion of apple is when it falls from a tree is the case of free fall.

During free fall , the initial velocity of the apple or any object is zero but it gains some velocity due to gravitatonal acceleration .

The definition that best describes invention is:
Your answer:
Invention is the first product produced on an assembly line
Invention is having a desired goal to achieve something
Invention is changing the size of an existing product
Invention is a process of turning ideas into devices or systems

Answers

Answer: Invention is a process of turning ideas into devices or systems.

Explanation:

Invention is a process of turning ideas into devices or system. Invention, simply has to do with bringing of ideas together so as to create something unique.

It should be noted that without creativity, invention can't take place. Examples of invention include the light bulb, fans etc. They are products that were designed based on the ideas that someone had Wich was turned into a device.

Question is in the image

Answers

Answer:

thank you

Explanation:

A block of wood and a block of aluminum have been sitting out for a while. How do their temperatures compare?​

Answers

Answer:

Block of aluminum

Explanation:

The block of aluminum because of the conductivity, and is a metal, so it gets hotter faster

The temperature of wood and the aluminium will depend upon thier thermal coductivity.

What is thermsal conductivity?

The thermal conductivity of any material is defined as the amount of heat from a material can flow in a unit area per unit degree centigrade for a unit distance.

The thermal conductivity of wood is around 0.90 to 0.197 w/mk and that of aluminium is around 88 to 251 w/mk.

We can see that the aluminium block will absorb much amount of heat as compared to the wood block. Because the thermal conductivity of aluminium is much higher then the wood.

Hence temperature of wood and the aluminium will depend upon thier thermal coductivity.

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