If a driver makes contact with a steering wheel during a 35 mph crash, she comes to rest in about Δ=15 ms. If, during an identical crash, the driver makes contact with an air bag, she comes to rest in about Δ=110 ms. What is the ratio of the force exerted by the steering wheel to the force exerted by the air bag on the driver?

Answers

Answer 1

Answer:

The ratio of forces is 22 : 3.

Explanation:

Case I:

initial velocity, u = 35 mph

final velocity, v = 0

time, t = 15 ms

Case II:

initial velocity, u = 35 mph

final velocity, v = 0

time, t' = 110 ms

let the mass is m.

According to the Newton's second law, the force is given by the rate of change of momentum.

So

[tex]F =\frac{m(v-u)}{t}\\\\F'= \frac{m(v-u)}{t'}\\\\So, \frac{F}{F'} =\frac{t'}{t}\\\\\frac{F}{F'}=\frac{110}{15}=22:3[/tex]


Related Questions

Questions
What is the effect of the following variables on the strength of an electromagnet in terms of:
1. lightness of the wire coiled around the nail?
2. Number of coils of wire around the nail?
3. Number of dry cells used?
4. Size of nail?​

Answers

Answer:

1. The tightness of the wire has no effect on the strength of the electromagnet

2. The strength increases with the number of coils

3. The strength of the electromagnet increases with the number of dry cells used

4. The strength of the electromagnet increases with the wideness of the nail but not the length of the nail

Explanation:

The strength of an electromagnet is given by the following relation;

[tex]B = \dfrac{\mu_0 \cdot K \cdot N \cdot I}{L}[/tex]

Where;

B = The magnetic field strength at the center

μ₀ = The magnetic permeability of free space = 4·π × 10⁻⁷ N·A⁻²

N = The number of loops formed by the conductor around the core

I = The current flowing through wire coiled around the nail

K = The magnetic permeability of the nail

L = The length of the coil

Therefore, we have;

1. From the above equation, the tightness of the wire coil around the nail (or the radius, 'R', of the wire) does not does not affect the magnetic field strength

2. The number of coils, 'N', is directly related to the magnetic field strength, 'B', and therefore, increasing the number of turns or coils around the nail, increases the magnetic field strength

3. The current in the circuit is directly related to the magnetic field strength and the number of dry cell used increases the current in the circuit and therefore, can increase the magnetic field strength

4. The size of the nail used in a solenoid and the magnetic field strength are directly related. The wider the nail, the stronger the magnetic field

A solar panel is used to recharge a battery. The solar panel produces 0.80 W of electrical power. The panel is 20% efficient. What is the power input of the sunlight onto the solar panel? * 1 point 0.16 W 4.0 W 8.0 W 16.0 W

Answers

Answer:

Input power, Ip = 4 Watts

Explanation:

Given the following data;

Power output = 0.8 Watts

Efficiency = 20%

To find the power input of the sunlight onto the solar panel;

Mathematically, the efficiency of a machine is given by the formula;

[tex] Efficiency = \frac {Out-put \; power}{In-put \; power} * 100 [/tex]

Substituting into the formula, we have;

[tex] 20 = \frac {0.8}{Ip} * 100 [/tex]

[tex] 20 = \frac {80}{Ip} [/tex]

Cross-multiplying, we have;

[tex] 20Ip = 80 [/tex]

[tex] Ip = \frac {80}{20} [/tex]

Input power, Ip = 4 Watts

The speed of light in a solid is 1.24 x 108 m/s.
Calculate the index of refraction

Answers

Answer:

125

Explanation:

According to the question, the refractive index of the solid is approximately 2.42.

What is meant by the Refractive index?

The refractive index may be defined as the measure of the bending of a light ray when passing from one medium to another. It can also be defined as the ratio of the velocity of a light ray in an empty space to the velocity of light in a substance, n = c/v.

The Refractive index for a medium may be defined as the ratio of the speed of light in a vacuum to the speed of light in that particular medium. It is a pure ratio and hence it does not have a unit.

According to the question,

The speed of light in a solid = 1.24 × 10⁸ m/s.

The refractive index of the solid = ?

The formula for the Refractive index of a medium = (Speed of light in vacuum) / (Speed of light in the medium).

The Speed of light in vacuum = 3 × 10⁸ m/s

[(3 × 10⁸)m/s] ÷ [(1.24×10⁸)m/s]

= (3×10⁸)/(1.24×10⁸)

= 3/1.24

≈ 2.42

Therefore, the refractive index of the solid is approximately 2.42.

To learn more about the refractive index, refer to the link:

https://brainly.com/question/14760207

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What process is mostly responsible for the blue appearance of the sky

Answers

Answer:reflection by dust particles in air

A puck is travelling at a speed of 28 m/s. If it has a mass of 200 g, what is its momentum?

Answers

Answer:

Explanation:

Momentum is equal to mass times velocity:

p = mv; therefore,

p = .200(28) and

p = 5.6 [tex]\frac{kg*m}{s}[/tex]

A constant unbalanced force is applied to an object for a period of time. What will happen to the objects acceleration?

a. It will accelerate in the direction of the net force.
b. It will accelerate opposite the direction net force.
c. There is no acceleration.
d. Not enough information to answer

Answers

Answer:

A

Explanation:

The moving object will accelerate as long as a net force is applied. If a net force is not applied, the object will continue to move at a constant speed along the same path in curved spacetime (due to gravity). If the net force continues the velocity of the object will continue to increase until nearly reaching the limit (speed of light).

An 8kg ball travelling at 4m/s collides head on with a 3kg ball travelling at 14m/s. Rhe balls bounce off each other and travel back the way they came. The 8kg ball travels away at 2m/s calculate velocity of 3kg ball after the collision.

Answers

Answer:

Explanation:

There are a couple of assumptions I had to make here and also a couple of rules based on what I use in my classroom when I teach the Law of Momentum Conservation. First of all, I am going to call the 8kg ball 1 and say that it is moving to the right (and right is positive), and that means that the 3kg ball is ball 2 and say that it is moving to the left (and left is negative). I had to assume that the 2 balls were moving towards each other; hence, the different signs assigned to their movement. I also added in another significant digit since we have only 1 in most of these values and adding in a .0 is not going to change the value of any number. The Law of Momentum Conservation in this particular instance says

[tex][m_1v_1+m_2v_2]_b=[m_1v_1+m_2v_2]_a[/tex] which is the mathematical way of saying that the momentum after the collision is the same as the momentum before it. Filling in:

[tex][(8.0*4.0)+(3.0*-14)]_b=[(8.0*-2.0)+(3.0*v)]_a[/tex] and doing the math here simplifies to

32 - 42 = -16 + 3.0v and

-10 = -16 + 3.0v and

6.0 = 3.0v so

v = 2.0 (and the positive indicates that ball 2 is now moving to the right)

Find the value of 60 joule in ergs.

Answers

Answer:

600000000 ergs

Explanation:

Formula - multiply the energy value by 1e+7

lubricants reduce friction by replacing sliding friction with fluid friction

Answers

Lubricants reduce friction when replaced with fluid friction instead of sliding friction. Lubricant is used between surfaces which are in mutual contact this is used because it reduces friction between the two surfaces. Lubrication reduces heat developed in the moving parts

Un campo magn´etico uniforme B, con magnitud 1.2 mT, apunta verticalmente hacia arriba a lo largo del volumen del sal´on en que usted est´a sentado. Un prot´on de 5.3 MeV se mueve horizontalmente de sur a norte a trav´es de cierto punto en el salon. ¿Qu´e fuerza magn´etica deflectora act´ua sobre el prot´on cuando pasa por este punto? Cu´al es su aceleraci´on, la masa del prot´on es de 1.67x10−27 kg. Resp. 6.1x10−15 N; 3.7x1012 m/s2.

Answers

Answer:

F = 6.12 10⁻¹⁵ N,    a = 3.66 10¹² m / s²

Explanation:

The magnetic force is

            F = q v x B

bold letters indicate vectors, the modulus of this expression is

            F = q v B sin θ

as they indicate that the magnetic field is vertical the proton moves horizontally the angle is 90º

suppose that the energy of the proton is totally kinetic

        E = 5.3 MeV (10⁶ 1.6 10⁻¹⁹J / 1 eV) = 8.48 10⁻¹³ J

       E = K = ½ m v²

       v = [tex]\sqrt{2E/m}[/tex][tex]\sqrt{2 \ 8.48 \ 10^{-13} / 1.67 \ 10^{-27}}[/tex]

       v = [tex]\sqrt{2 \ 8.48 \ 10^{-13} / 1.67 \ 10^{-27}}[/tex]

       v = [tex]\sqrt{10.155 \ 10^{14}}[/tex]

       v = 3.19 10⁷ m / s

we calculate

        F = 1.6 10⁻¹⁹  3.19 10⁷  1.2 10⁻³

        F = 6.12 10⁻¹⁵ N

       

The direction of this out is given by the right hand rule,

thumb in the direction of speed, south to north

fingers extended in the direction of the magnetic field, vertical

the probe points in the direction of the force for a positive charge,  East

To calculate the acceleration we use Newton's second law

        F = ma

        a = F / m

        a = 6.12 10⁻¹⁵ / 1.67 10⁻²⁷

        a = 3.66 10¹² m / s²

the direction of the acceleration is the same as the direction of the force

As distance increases, force decrease and vise versa, as distance decreases then, force increases. This is a ________________ relationship

A) directly proportional
B) toxic
C) inverse
D) reverse

Answers

It is indirectly proportional or inverse so it would be C

Parallel incident rays appear to bounce like they have all originated from the same point. What is this point called?

A. cross point

B. midpoint

C. bounce point

D. focal point

Answers

B midpoint because the rays appear to bounce like they have all originated from the same point.

A box at rest is in a state of equilibrium half way up on a ramp. The ramp has an incline of 42° . What is the force of static friction acting on the box if box has a gravitational force of 112.1 N ?

70 N
80 N
75 N
85 N

Answers

Answer:

75 N

Explanation:

Given that,

The angle of incline of the ramp is 42°.

The gravitational force of the box, W = 112.1 N

We need to find the force of static friction on the box.

We have that the component of the gravitational force acting along the inclined plane i.e.

[tex]F=W\sin\theta\\\\F=112.1\times \sin(42)\\\\F=75\ N[/tex]

So, the force of static friction is equal to 75 N.

6. ¿Es importante conocer el sistema inglés? ¿Por qué?

Answers

Answer: Es importante conocer el sistema ingles porque luego podemos cmmunicar con otros que solo abalan ingles y les podes ayudar con espanol si solo abaln ingles

Explanation:

Can someone help me with this? I will give brainliest! Ridiculous answers will be reported. Thank you.

Answers

Can you post a more clear picture because It’s a little blurry


A light ray in medium 1 striking a boundary at an angle of theta Subscript 1 Baseline. In medium 2 is a second light ray that is at a larger angle from the normal with angle theta Subscript 2 Baseline. Medium 1 has the index of refraction of n Subscript 1 Baseline and in medium 2 has the index of refraction of n Subscript 2 Baseline.
Which medium (1 or 2) is more dense?
Medium


Answers

Answer:

The correct answer is 1

Explanation:

A light ray in medium 1 striking a boundary at an angle of theta Subscript 1 Baseline. In medium 2 is a second light ray that is at a larger angle from the normal with angle theta Subscript 2 Baseline. Thus, 1 is the correct option.

What is wavelength?

Wavelength is the distance between two identical or similar positions it means that it is the distance between crests or trough in the adjacent cycle of the waveform.

Wavelength is denoted by (lambda).

It is measured in meter, or centimeter, or millimeters.

Mathematically,

Wavelength is equal to velocity divided by frequency,

So,

Wavelength (lambda) = Velocity/frequency.

Velocity is in meter per second.

Frequency is in 1/second.

Prism is a transparent object in which if  sunlight is passed then it will be split in a VIBGYOR

where V = vilot, I = indigo, B = blue, G = green, Y = Yellow, O = orange, R = red.

In this series wavelength of red is higher and vilot is smaller and frequency of violet is higher and red is smaller.

Therefore, A light ray in medium 1 striking a boundary at an angle of theta Subscript 1 Baseline. In medium 2 is a second light ray that is at a larger angle from the normal with angle theta Subscript 2 Baseline. Thus, 1 is the correct option.

Learn more about wavelength here:

https://brainly.com/question/13533093

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what is the importance of star ranting labelilling of an electrical appliance?​

Answers

Answer:

The standard of efficiency varies by product category

these are called BEE star label and they show how much electricity the appliance consumes in year each appliance gets btw one and five stars with five stars meaning that it's extremely efficienct andis likely to keep your electricity bills in check

hope it's helpful

outs each inning?
Each team gets (how many).
o 2
3
(Basketball )
Help!!
?

Answers

It is 2 - hope it helps
2. Hope it’s right :)

How long will it take the cart to to travel 2.8m, starting from rest?

Answers

Answer:

0.748seconds

Explanation:

s = 1/2 *g*t^2

2.8 = 1/2 * 10* t^2

5.6 = 10 * t^2

0.56 = t^2

t = √0.56

t = 0.7483seconds

One result of the water table reaching the surface is a lake. True False

Answers

Answer:

True

Explanation:

The water table maybe defined as the boundary between groundwater saturated spaces and the soil surface. In more explicit terms, the table table is the water level in shallow dug wells. That is when a well is dug, the position of water in the well is called the water table. The water table may rise during the rainy season or areas of high water volume such that the water table meets the the land surface, when this occurs, we have the formation of a spring. This flow is the channeled to streams, rivers or lakes.

Lakes are generally a body of water surrounded by land.

A Turkey is shot straight up, it takes the turkey 3.16 seconds to reach its maximum height. A) What is the velocity of the turkey at its maximum height. B) What was its initial velocity? C) What is the greatest height it reaches? D)What is its final position exactly 5.00 seconds after it is launched? (Assuming that upwards is positive​

Answers

Answer:

The velocity of an object thrown straight up would be zero at maximum height (just before it starts falling)

Find the initial velocity:

Time = speed/gravitational constant.

Speed = gravitational constant * time

Initial speed = 9.81*3.16

Initial speed = 30.9996

Maximum height:

h = Vinitial^2/ 2g

h = 960.9752/ 2*9.81

h = 48.979368

D)

Displacement after time = vinital * t - 0.5*g*t^2

So: 32.373

A 1000 kg car accelerates from rest at a rate of 10 m/s² for 3 seconds. A) what is the final velocity of the car?

Answers

Answer:

Refer to the attachment!~

A book having 50 sheets of paper has a thickness of 0.5cm. What will be the thickness of a single sheet in mm

Answers

Answer:

we have to find the thickness of a single sheet in mm.

so,

50 = 0.5 cm

we know that

0.5 cm = 5 mm

NOW THICKNESS OF 50 SHEETS OF PAPER IS 5mm

•°• thickness of one sheet of paper will

5/50

= 0.1 cm

we have to find the answer in mm so

0.1 cm = 1 mm

Explanation:

hope it may help you

lol nerd go eat some grass

Answers

Answer:

ur mom hahahahahhahaahahahahahaha

Explanation:

loserrrrrrrrrrr

I only eat . Not grass here or anywhere near.

explain the operation of a capacitor in a circuit

Answers

A capacitor is an electronic component that stores and releases electricity in a circuit.

Differentiate between a derived quantity and a derived unit.

Answers

Explanation:

Derived quantities are quantities dependent on fundamental quantities while derived units are the units of these quantities

uses of convex mirrors​

Answers

Explanation:

Two uses of convex mirror are: (i) It is used as a rear view mirror in vehicles. (ii) It is used as a vigilance mirror. (iii) it is used as a reflector in street lamps.

Explanation:

Inside buildings. You might have noticed that large office buildings, stores, hospitals, and other many other buildings have convex mirrors in the corners. ...

Sunglasses. We might have used sunglasses many times. ...

Vehicle mirrors. ...

Magnifying glasses. ...

For security purposes. ...

Street light reflectors.

Select the correct answer. Which characteristic is not a characteristic of plastic? OA easy to mold O'B. good conductor of heat OC. lightweight and durable OD. repels water​

Answers

Answer:

O'B. Good conductor of heat.

Explanation:

Plastic is not a good conductor of heat because it has no delocalized electrons it's surface to transfer heart.

Answer:

I hope this helps

Explanation:

pleeese help me in this i will put the higher points

Answers

Answer:

b

Explanation:

A radio has a 1.3 A current. If it has a resistance of 35 Ω, what is the potential difference?

Answers

Answer:

22

Explanation:

Answer:

45.5 v

Explanation:

I = 1.3 A

R = 35 Ω

V = I * R

V = 1.3 * 35 = 45.5 v

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