The use of seat belts in cars has significantly reduced the number of crash
fatalities. Which statement best explains how the market forces of supply
and demand guided the development of seat-belt technology?

The distance the car would travel when it hit the barrier before coming to a stop is 14.6 m.

The distance travelled by the car before stopping is calculated by applying third kinematic equation as shown.

v² = u² - 2as

where;

when the car stops,  the final velocity will zero, v =  0

0 = u² - 2as

2as = u²

s = u²/2a

The given parameter;

initial velocity of the car, u = 110 km/h = 30.56 m/s

a = 32 m/s²

s = (30.56²) / (2 x 32)

s = 14.6 m

Thus, when the car hits the soft barrier, it will slow down and travel a distance of 14.6 m before coming to rest.

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Consider a low-speed flight of the space shuttle as it is nearing a landing. If the air pressure and temperature at the nose of the shuttle are 1. 22 atm and 300k, the density is 49.3kg/m³ and specific volume is 0.02m³/kg.

According to the ideal gas law, the product of the pressure and volume is equal to the product of moles, universal gas constant and the temperature. If we assume that the air is the perfect gas then we can use the ideal gas law as-

PV=nRT (ideal gas equation)

P= dRT

where P=pressure in Pascal or N/m² or kg/m-s²

1atm=101325Pa

1.22atm=1.23x10⁵ Pa

d=density in kg/m³

R=universal gas constant in kg-m²/s²-K-mol

=8.314kg-m²/s²-K-mol

T= Temperature in kelvin

by putting value we get-

1.23x10⁵=d*8.314*300

d=49.3kg/m³

The specific volume is the reciprocal of the density of the material , which is the mass per unit volume.

v=V/m

where v=specific volume

V=volume

m=mass

so, by putting value in this we get -

v=0.02m³/kg

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At x = 0, there are no dislocated impulses, while at x = 3, there are 13,200 dislocated impulses.

The problem states that the number of dislocated electric impulses per cubic inch in a transformer increases when lightning strikes by D = 1100(4)×,

where × represents the time in milliseconds of the lightning strike.

We need to find the number of dislocated impulses at x = 0 and x = 3.

To find the number of dislocated impulses at x = 0, substitute x = 0 into the equation D = 1100(4)×:

D(0) = 1100(4)(0)

D(0) = 0

So, at x = 0, there are no dislocated impulses.

To find the number of dislocated impulses at x = 3, substitute x = 3 into the equation:

D(3) = 1100(4)(3)

D(3) = 13200

Therefore, at x = 3, there are 13,200 dislocated impulses.

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Solve the problem. The number of dislocated electric impulses per cubic inch in a transformer increases when lightning strikes by D=1100(4)×, where × is the time in milliseconds of the lightning strike. Find the number of dislocated impulses at x=0 and x=3

Explanation:

KE = ½ mv²

KE = ½ (1.5 kg) (125 m/s)²

KE = 11,719 J

Answer:

11,719 J

Explanation:

AP3X

pog

The net force in lifting the heavy box is 50 newtons, and the direction of the box is upward. The correct option is B.

A push or a pull that modifies or tends to modify an object's uniform motion or state of rest, or modifies the object's direction or shape, is known as a force. It is calculated in Newtons, and there are different types of force.

The force of the arm in pushing the box over is 250 Newton

The force by gravity is 200 Newton.

The force of the arm - the gravitational force

250 - 200 = 50

Therefore, the correct option is B, 50 N upwards.

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The question is incomplete. Your most probably complete question is given below:

50 N downwards

50 N upwards

-50 N upwards

-50 N downwards

The missing value in the table is the wavelength of the sound wave, which is calculated to be 6.3 meters using the formula wavelength = wave speed / frequency. so, the correct option is A).

The given problem provides the speed and frequency of a sound wave and asks to find the missing value of the wavelength.

Using the formula for wavelength,

λ = v/f

In this case, the frequency was 55Hz and the speed of the wave was 346m/s.

λ = 346 m/s / 55 Hz

λ = 6.3 m

the missing value was calculated to be 6.3 meters. The wavelength is the distance between adjacent crests or troughs of a wave and is the reciprocal of the frequency. so, the correct answer is A).

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--The given question is incomplete, the complete question is given

" A sound wave generated by musical note has the characteristics presented in the table. What is the missing value

A 6.3

B 4.7

C 7.5

D 5.6 "--

Answer:

a constabt force that acts on object that rub together

Explanation:

It is because Friction is the rubbing of one body against another body

The area of the shaded region is 4621.5 cm2 - 1083.8 cm2 = 3537.7 cm.

Area is the space or size of a two-dimensional surface or shape. It is a measure of the size of a surface and is typically expressed in square units, such as square feet or square meters. Area is usually calculated by multiplying the length of a shape by its width. For example, the area of a rectangle with a length of 4 feet and a width of 3 feet is 12 square feet. Area can also be calculated for shapes with curved sides such as circles, triangles, and other polygons.

The shaded region is the area between the two circles. To calculate the area of the shaded region, we need to subtract the area of the inner circle from the area of the outer circle.

The area of the outer circle can be calculated using the formula A = πr2, where r is the radius of the circle. Since the two circles have the same center, the radius of the outer circle is twice the radius of the inner circle.

Therefore, the radius of the outer circle is 2 × (117.436/2π) = 38.212 cm.

The area of the outer circle is A = π × 38.212^2 = 4621.5 cm2.

The area of the inner circle can be calculated using the same formula: A = πr2. The radius of the inner circle is (117.436/2π) = 18.606 cm.

The area of the inner circle is A = π × 18.606^2 = 1083.8 cm2.

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Since the block of ice is at rest on a frictionless horizontal surface, the block will have a velocity of 0.1 m/s in the easterly direction after 1.0 s.

Since the block is on a frictionless surface, there is no opposing force. Therefore, the force applied will result in an acceleration of the block.

Given:

mass of block (m) = 10 kg

force (F) = 1.0 N

time (t) = 1.0 s

Using Newton's second law of motion:

F = ma

where F is the force of the ice block, m is the mass of the ice block , and a is the acceleration of the ice block.

Rearranging the equation to solve for acceleration:

a = F/m

Substituting the given values:

a = 1.0 N / 10 kg

a = 0.1 m/s²

The block's velocity can be calculated using the equation:

v = at

where v is the final velocity, a is the acceleration, and t is the time interval.

Substituting the given values:

v = 0.1 m/s² x 1.0 s

v = 0.1 m/s

Therefore, the block will have a velocity of 0.1 m/s in the easterly direction after 1.0 s.

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Answer:

0.39 seconds

Explanation:

Given:

Distance, S = 0.75 m

Acceleration due to gravity, g = 9.81 m/s^2

Initial (vertical) velocity, u = 0 m/s

Final velocity,

S = ut + (1/2)gt^2

0.75 = 0(t) + (1/2)(9.81)t^2

t^2 = 0.75/(9.81/2) = 0.1529 s^2

t = sqrt(0.1529) s.

= 0.391 s.

The time it takes an object to fall a certain distance is 0.39 s. Therefore, option (B) is correct.

To determine how long it takes for the glass of iced tea to hit the ground, we can use the kinematic equation that relates the distance, time, initial velocity, and acceleration of an object under free fall.

Assuming the glass is dropped from rest, its initial velocity is zero, and the acceleration due to gravity is\(-9.8 m/s^2\) (negative because it is acting in the opposite direction to the motion).

Using the equation:

\(d = 1/2 * a * t^2\)

where d is the distance, a is the acceleration due to gravity, and t is the time, we can solve for t:

\(0.75 m = 1/2 * (-9.8 m/s^2) * t^2\)

Simplifying this equation gives:

\(t^2 = 0.75 m / (1/2 * 9.8 m/s^2) = 0.153\)

Taking the square root of both sides gives:

\(t = sqrt(0.153) = 0.39 s\)

Therefore, the correct option is B. It takes approximately 0.39 seconds for the glass of iced tea to hit the ground.

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The sign of the estimate of the area under the curve using left or right endpoints cannot be determined if f is not known to be increasing or decreasing on [a, b].

1. Using left endpoints would give an overestimate of the area under the curve on this interval.

2. Using right endpoints would give an underestimate of the area under the curve on this interval.

3. Using right endpoints would give an overestimate of the area under the curve on this interval.

4. Using left endpoints would give an underestimate of the area under the curve on this interval.

5. If f is not known to be increasing or decreasing on [a, b], it is not possible to determine the sign of the estimate of the area under the curve using left or right endpoints.

Suppose f is increasing on the interval [a, b] and we want to estimate the area under the curve on this interval. When using the left-hand endpoint, the rectangles will be above the curve if the curve is concave down, which will overestimate the area. When using the right-hand endpoint, the rectangles will be below the curve if the curve is concave down, which will underestimate the area. When using the left-hand endpoint, the rectangles will be below the curve if the curve is concave up, which will underestimate the area. When using the right-hand endpoint, the rectangles will be above the curve if the curve is concave up, which will overestimate the area.

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Answer:

Physics Net Force

Explanation:

Physics Net Force

The net force is the combined force of all individual forces acting on an object. Newton's First Law can be seen to be the special case in the Second Law when F, the net force, is zero. When that happens, the acceleration a must also be zero.

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It is usually best to reduce speed to suggested limit when  a driver gets to a speed hump and is denoted as option D.

This refers to a situation in which the speed or acceleration of a body is reduced while in the other hand, acceleration refers to the condition in which a body increases its speed or acceleration.

Speed humps are structures which are placed in the road in other to slow vehicles to between 10 to 15 mph. They ensure over speeding is checked due to it being dangerous to other users.

Applying brake or maintaining current speed may lead to the vehicle being tilted towards the front end which may result in collision and other forms of accident.

This therefore the reason why reducing speed to suggested limit is the most appropriate choice.

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The radiation belts around Jupiter are much stronger than those found around Earth because: d) Jupiter has a stronger magnetic field than Earth.

Jupiter possesses a significantly stronger magnetic field compared to Earth, which contributes to the intensification of its radiation belts. The planet's powerful magnetic field interacts with charged particles from various sources, such as the solar wind and its own volcanic moon Io, trapping and accelerating them. These charged particles become trapped in the magnetic field, forming the radiation belts.

The combination of Jupiter's strong magnetic field and its interaction with energetic particles results in the generation of highly energetic radiation belts around the planet. These belts are composed of charged particles, including electrons and ions, that are accelerated to high speeds within Jupiter's magnetic field. This makes Jupiter's radiation belts much more intense than those found around Earth.

Factors such as larger storms, colder temperatures, or faster rotation do not directly contribute to the strength of Jupiter's radiation belts. It is primarily the planet's robust magnetic field that accounts for the enhanced intensity of its radiation belts.

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Dr. Hewitt's experiment using the bowling ball to showcase the relationship between momentum, energy and speed of a body in motion. In his first attempt, the ball returns and stops almost exactly at the point it was launched.

Therefore, the ball stopped at the position of initial launch during the first trial.

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Answer:

Explanation:

HCE 20 ADIASM EPEGURNTE   MSIMOLO

Answer:

use first equation of motion v=u+at..v is 0..since we have to take him to rest and u is 13.5

Explanation:

u = 13.5 m/s

a = - 2.5 m/s^2

v = u + at

0 = 13.5 - 2.5 * t

t (time to reach a complete halt) = 5.4 sec

Given:

A coil is connected to the bulb and a magnet is placed near the coil.

To find the consequence of moving the north side of the magnet towards the coil.

Explanation:

The changing magnetic field across the coil induces a current in the coil.

This is known as electromagnetic induction.

Here, the north side of the magnet moves towards the coil, this results in the change in the magnetic field across the coil.

The changing magnetic field induces a current in the coil.

As the coil is connected to the bulb, the induced current produced in the coil due to the moving magnetic field passes through the bulb.

Thus, the bulb glows.

Final Answer: The bulb glows as we move the north side of the magnet into the coil.

Answer:

1. Amplitude.

2. Rarefaction.

3. Wavelength.

4. Compression.

Explanation:

Sound are mechanical waves that are highly dependent on matter for their propagation and transmission. Some of the properties of sound waves as it travels through a medium such as solid, liquid and gas includes the following;

1. Amplitude: the density of the medium's particles at the compressions of the waves.

2. Rarefaction: the part of a wave where the particles of the medium are farther apart. This ultimately implies that, it is part of a longitudinal wave in which the particles that make up the matter for the movement of the wave are separated by a greater distance.

3. Wavelength: the distance between compressions or rarefactions i.e the distance between two successive compressions or refractions.

4. Compression: the part of a wave where the particles of the medium are closer together. This ultimately implies that, it is part of a longitudinal wave in which the particles that make up the matter for the movement of the wave are closer together.

Answer:

here is the answers .......

The symbol V in the given equation is explained by the quantity theory of money. Here, V denotes the velocity of money circulation.

The quantity theory of money helps to explain the relationship between the good's price and the money supply. This relationship is explained by the Fisher equation as M×V=P×Y. Here, the total amount of the money or money supply is denoted by M, the velocity of money circulation is denoted by V, the price level is denoted by P, and the real output or real income is denoted by Y.

This theory helps to determine the value of money. This also helps to stop inflation.

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Answer:

20.4 miles

Explanation:

Terry's normal speed while riding his bike = \(15\ \text{mph}\)

Speed is reduced by \(3\ \text{mph}\).

So his speed now is \(15-3=12\ \text{mph}\)

The time for which the distance needs to be found is \(1.7\ \text{hours}\)

Distance is given by

\(\text{Distance}=\text{Speed}\times \text{Time}\)

\(\text{Distance}=12\times 1.7=20.4\ \text{miles}\)

So, the distance traveled in 1.7 hours is 20.4 miles.

Tension and compression forces act on diagonal and vertical members respectively in a truss structure.

A truss is a construction that comprises of a progression of interconnected triangles, intended to disperse stacks and give security. The powers that follow up on a bracket can be characterized into two kinds: pressure and pressure powers.

Tension powers are powers that draw on a part, like a rope or link. In a support, strain powers follow up on the corner to corner individuals that structure the triangles. These individuals are under pressure since they are being pulled separated.

Compression forces are forces that push on a part, like a segment or shaft. In a support, pressure powers follow up on the upward individuals that associate the top and base harmonies of the bracket. These individuals are under pressure since they are being crushed together.

Notwithstanding pressure and pressure powers, brackets can likewise be exposed to twisting minutes and shear powers, which are brought about by outer burdens following up on the support.

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Answer:

Here you go, hope this helps you pass :)

Explanation:

You're welcome.

Answer:

acceleration = 0.2 m/s/s

Explanation:

initial velocity u = 14

final velocity v = 20

time = 30

acceleration = ?

v = u + at

20 = 14 + 30a

30a = 6

a = 0.2 m/s/s

Answer:

For the aceleration we have:

V = Vi + a * t

Being:

V = 20 m/s

Vi = 14 m/s

a = ?

t = 30 s

Then, lets replace acording the formula:

20 m/s = 14 m/s + a * 30 s

Clear "a":

a = (20 m/s - 14 m/s) / 30 s

a = (6 m/s) / 30 s

a = 0,2 m/s²

The aceleration of the car is 0,2 meters per second squared.

Answer:

Part A

The power to turn on the lamp, ∑P = 3.36 W

Part B

The Resistor required is approximately 8.04 Ohms

Part C

The time for all the lights to go out is approximately 21.43 hours

Explanation:

The input voltage of the motor battery , V = 12 V

The capacity of the battery, Q = 6 Ah

The number of lamps in parallel = 8 lamps

The maximum voltage of each lamp,  = 3 V

The electric current in each lamp = 140 mA

The energy available in a battery, E = Q × V

For the battery, we have;

E = 6 Ah × 12 V = 72 Wh

The energy available in a battery, E = 72 Wh

Part A

The power used by the lamps, \(P_i\) = \(I_i\) × \(V_i\)

∴ The total power used by the lamp, ∑P = 8 × 0.14 A × 3 V = 3.36 W

The power to turn on the lamp, ∑P = 3.36 W

Part B

The resistance required, is given as follows;

Resistor required = (Battery voltage - Lamp voltage)/(The sum of bulb current)

∴ Resistor required = (12 V - 3 V)/(8 × 0.14 A)

The Resistor required = 8.03571429 Ohms

The Resistor required ≈ 8.04 Ohms

Part C

The time for all the lights to go out = The time for the lamps to use all the power available in the battery

The time for all the lights to go out, t = E/∑P

∴ t = 72 Wh/(3.36 W) = 21.4285714 h

∴ The time for all the lights to go out, t ≈ 21.43 h

The time for all the lights to go out = The time for the lamps to use all the power available in the battery = t ≈ 21.43 h

∴ The time for all the lights to go out ≈ 21.43 hours.

Answer:

It is gymnastics.

Answer:

3586

Explanation:

by using formula s=it+0.5at^2

Answer:

\(\fbox {Velocity = 60 m/s, Distance = 3600 m}\)

Explanation:

Part (i) : Velocity at end of 2 minutes

Equation used ⇒ \(\boxed {v = u + at}\)

⇒ t = 2 minutes = 2 x 60 = 120 seconds

⇒ v = 0 + (0.5)(120)

⇒ v = 60 m/s

Part (ii) : Distance covered

Equation used ⇒ \(\boxed {S = \frac{v^{2}-u^{2}}{2a}}\)

⇒ S = (60)² - (0)² / 2(0.5)

⇒ S = 3600 m