Using the equation for Impact, can you explain the following:
Why are car steering rods designed to collapse?
Why are highway guard rails designed to crumple up on impact?
Why are traffic saftey barrels filled with water or sand?

Answer:

F = 1.6 N

Explanation:

Newton's Second Law of Motion states that whenever an unbalanced force is applied on a body. It produces an acceleration in the body, in its own direction. The magnitude of the force is given by the following formula:

F = ma

where,

F = Force Required to Move the Object Upward = ?

m = mass of object

a = upward acceleration = 2 m/s²

but, we know that weight of object is given as:

Weight = mg

8 N = m(9.8 m/s²)

m = 0.8 kg

using values in the equation:

F = (0.8 kg)(2 m/s²)

F = 1.6 N

Answer:

0.00050, 0.000000000406, 36513

Answer:

The ball is in the air for approximately 0.45 seconds

Explanation:

We only need to use the information on the height of the table to find the time, since the vertical movement is a movement under the acceleration of gravity, and with no initial velocity in the y-direction (recall that the ball rolls off a 1.0 m high table)

therefore the equation of motion for the vertical component is:

[tex]y_f-y_i=\frac{1}{2}\, g\,t^2[/tex]

which for our information becomes:

[tex]y_f-y_i=\frac{1}{2}\, g\,t^2\\1 = 4.9\,t^2\\t^2=\frac{1}{4.9} \\t=\sqrt{\frac{1}{4.9}} \\t\approx 0.45\,s[/tex]

Answer:

Melting

Explanation:

The process in which a solid changes to a liquid is called melting. This process is also termed as fusion. Due to application of heat and pressure, the internal energy of a solid increases and the molecules become far from each other due to which it starts to melt.

Hence, the correct option is (c) "melting".

Answer:

c. melting

Explanation:

took the quiz on edge

[tex]\left(95\dfrac{\rm gal}{\rm min}\right)\left(\dfrac{231}{1.00}\dfrac{\mathrm{in}^3}{\rm gal}\right)\left(\dfrac{1.0}{12}\dfrac{\rm ft}{\rm in}\right)^3\left(\dfrac{1.0}{60}\dfrac{\rm min}{\rm s}\right)\approx0.211661\dfrac{\mathrm{ft}^3}{\rm s}[/tex]

Multiplying 95 gal by 231 converts it to in^3. Dividing by 12^3 converts in^3 to ft^3. Dividing by 60 converts min to s.

Answer:

0.55 hz

Explanation:

Given that the plane fly through the turbulent boundary layer of the atmosphere at a speed of 50 m/sec. And the velocity fluctuations in the atmosphere are of order 0.5 m/sec, the length scale of the large eddies is about 100 m.

The maximum speed attained will be

Maximum speed = 50 + 0.5 = 5.5 m/s

The Length = 100m

Speed = FL

Where F = frequency

Substitute speed and distance length into the formula

55 = 100F

F = 55/100

F = 0.55 Hz

Therefore, the highest frequency the anemometer will encounter will be 0.55 Hz

Answer:

40079 Hz

Explanation:

1. The first step is to calculate energy dissipation ∈=u^3/l and here u is fluctuating velocity

∈=(0.5^3)/100 = 0.00125 m^2/s^3

2. Find out the length scale of the small eddies

η=(viscosity/∈)^1/4

η=(1.470e-5/0.00125)^1/4 = 0.00126 m

3. The frequency associated with these small-scale eddies will be the greatest frequency the anemometer will encounter, thus:

u_max=f_max * η

u_max = u + u' = 50+0.5=50.5 m/s

f_max = u_max/η = 50.5/0.00126 = 40079 Hz

This is the heighest frequency the anemometer will encounter.

Answer:

The value is [tex]a_r = 3.81 *10^{-3} m/s^2[/tex]

Explanation:

Generally the moon's radial acceleration is mathematically represented as

[tex]a_r = r * w^2[/tex]

Here [tex]w[/tex] is the angular velocity which is mathematically represented as

[tex]w =\frac{2 \pi }{ T}[/tex]

substituting [tex]1760 * 10^3 \ seconds[/tex] for T(i.e the period of the moon ) we have

[tex]w =\frac{2 * 3.142 }{ 1760 * 10^3}[/tex]

=> [tex]w = 3.57 *10^{-6} \ rad/s [/tex]

From the question r(which is the radius of the orbit ) is evaluated as

[tex]r = R + H[/tex]

substitute [tex]3.60 * 10^6 m[/tex] for R and [tex]295.0 * 10^6 \ m[/tex] H

       [tex]r =  295.0 * 10^6   +3.60 * 10^6[/tex]

=>   [tex]r =  2.986 *10^{8} \  m [/tex]

So

    [tex]a_r  =   2.986 *10^{8} *  ( 3.57 *10^{-6} )^2[/tex]

      [tex]a_r  = 3.81 *10^{-3} m/s^2[/tex]

Answer:

yes

Explanation:

The hypothesis is scientific because there is no solid evidence to draw out the theory. Therefore the idea of other intelligence on other planets is scientific until found unworthy or scientifically proven wrong enough. Hope this helps a little:)

Answer:

Explanation:

a ) x ( t ) = t³ / 3 - t² + t

v = dx / dt = 3 t² / 3 - 2 t + 1 = t² -  2 t + 1

b ) lizard is at rest , v( t ) = 0

t² -  2 t + 1  = 0

( t - 1 )² = 0

t = 1

c )

velocity is positive when

t² -  2 t + 1  > 0

( t - 1 ) ² > 0

Here we see that LHS is a square so it is always positive whatever be the value of t

So velocity is always positive or lizard is always moving in positive x direction .

d ) It never moves in negative x direction .

e )

a ( t ) = dv / dt = 2t - 2

t = 1

so it has zero acceleration at t = 0 .

Answer:

I think C but I'm not sure

The statement that illustrates how engineering has influences society is nuclear power plants provide cheap electricity to power people's homes. The correct option is A.

This claim serves as an example of how engineering has impacted society. Because they offer a practical and economical source of electricity for lighting up homes and other infrastructure, nuclear power plants have had a big impact on society.

The ability to create electricity from the energy held in atoms thanks to improvements in nuclear technology has boosted the availability and affordability of power for users.

This illustrates how advances in engineering can influence and enhance how society fulfils its energy needs.

Thus, the correct option is A.

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Answer:

This question is incomplete

Explanation:

This question appears incomplete because of the absence of the value for the constant speed. However, there is a striking similarity between speed and velocity and the major difference between the two "quantities" is that speed is a scalar quantity while velocity is a vector quantity.

A scalar quantity (such as speed) is one that has a magnitude but no direction while a vector quantity (such as velocity) is one that has both magnitude and direction. Hence, velocity can be described as the speed in a particular direction (around a large circle as suggested in the question).

From the description above, it can be deduced that Kriste's average velocity is the same as her constant speed as she walks around the large circle.

NOTE: The unit for both speed and velocity here will be in m/s

The moon orbits the Earth once every 27.322 days. It also takes approximately 27 days for the moon to rotate once on its axis. As a result, the moon does not seem to be spinning but appears to observers from Earth to be keeping almost perfectly still.

Answer:

approximately 27 days

The moon orbits the Earth once every 27.322 days. It also takes approximately 27 days for the moon to rotate once on its axis.

Explanation:

Answer:

vertical axis measures voltage while

The horizontal axis of an oscilloscope measures time

2) we are told that Period

T = 25 microseconds = 25*10^-6 s

So we also know that

frequency f = 1/T

So

= 1/(25*10^-6)

= 40,000 Hz

Explanation:

They speed up, slow down, or change direction.

Answer:In order for object to be accelerating, the net force (sum of all forces) acting on the object has to be non-zero. According to Newton's Second Law of Motion, Force = Mass x Acceleration. ... If the object is sitting motionless on the ground, then the net force (sum of all forces) acting on it is zero.

Explanation:

The magnitude of the resultant vector is D, 7.0 meters/second, and the direction is to the left.

To add these two velocity vectors, find the magnitude and direction of each vector. The magnitude of the first vector is 5.8 meters/second, and the direction is to the right. The magnitude of the second vector is 1.2 meters/second, and the direction is to the left.

To find the magnitude of the resultant vector, add the magnitudes of the two vectors. The magnitude of the resultant vector is 5.8 meters/second + 1.2 meters/second = 7.0 meters/second.

To find the direction of the resultant vector, find the angle between the two vectors. The angle between the two vectors is 180 degrees. The direction of the resultant vector is 180 degrees from the first vector, which is to the left.

Therefore, the magnitude of the resultant vector is 7.0 meters/second, and the direction is to the left.

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Answer:

Because of melting and freezing a higher heat will make something a plasma or liquid by melting it. by freezing you can make a liquid or gas solid.

Explanation:

Answer:

The correct answer is:

It asks about a cause-and-effect relationship between two variables (A)

Explanation:

Scientific investigations are aimed as developing a hypothesis and proving the validity or not of the hypothesis developed. In order for these hypotheses to be tested, experiments must be done, and the experiments are designed based on the identification of a cause-and-effect relationship existing between two variables to be tested, where the "cause" is varied to various degrees and the "effect" of the variation is recorded. Therefore, knowing the cause-and-effect relationship will guide the experimental design, which will be aimed at manipulating the causes to see how these manipulations affect the second variable.

Answer:

A

Explanation:

The correct answer is A) d = v * t

Explanation:

When writing an equation the goal is to represent the equality between different mathematical expressions or elements. Due to this, in an equation the symbol = is always used. Additionally, to translate a sentence into an equation, the variables should be represented using numbers or letters.

For example, in the sentence "The distance traveled is the speed multiplied by the time" there are three variables mentioned: distance, speed, and time. Also, these can be represented through the letters d (distance), v (speed or velocity), and t (time). Besides this, the sentence explains speed should be multiplied by time, which means it should be written as v × t or v * t and this is equivalent (=) to distance or t. According to this, the final equation would be d = v * t.

Explanation:

Given:

Δx = 50 m

v₀ = 0 m/s

a = 0.2 m/s²

Find: v

The problem does not involve time.  Therefore, the required equation is:

v² = v₀² + 2aΔx

Plug in values and solve:

v² = (0 m/s)² + 2 (0.2 m/s²) (50 m)

v = 4.47 m/s

The velocity of the car when it has moved a distance of 50 meters is approximately 4.47 m/s.

To find the velocity of the car when it has moved a distance of 50 meters, we can use the following equation of motion:

v² = u² + 2as

Where:

v = final velocity

u = initial velocity (which is 0 in this case as the car starts from rest)

a = acceleration

s = distance traveled

Plugging in the values into the equation:

v² = 0² + 2(0.2)(50)

v² = 0 + 20

v² = 20

Taking the square root of both sides:

v = √20

v = 4.47 m/s

Therefore, the velocity of the car when it has moved a distance of 50 meters is approximately 4.47 m/s.

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Answer:

b) 40.5 m

Explanation:

Given:

v₀ = 0 m/s

a = 9 m/s²

t = 3 s

Find: Δx

Δx = v₀ t + ½ at²

Δx = (0 m/s) (3 s) + ½ (9 m/s²) (3 s)²

Δx = 40.5 m

Answer:

Distance = πr

Displacement = 2r

Explanation:

First we need to find the distance covered by the car. As the car is travelling on a circular path and it traveled to a diametrically opposite point on the circular path. Therefore, the distance covered by the car must be the half value of the circumference.

Distance = Circumference/2

Distance = 2πr/2

Distance = πr

Since, displacement is the straight line distance between two points. So, the displacement in moving from a point to its diametrically opposite point must be equal to the diameter of circle:

Displacement = Diameter

Displacement = 2r

Answer:

I hope you fall down a 40 floor hotel resort onto the porch, and explode into the gushing body you are!

Explanation:

Answer:

A. Negative values

Explanation:

Answer:

A-negative values

Explanation:

As per the new modified method of classifying the magnitude of stars, what kind of values were the brightest stars assigned?

A.

negative values

B.

positive values

C.

fractional values

D.

letters

Answer:

3.75 m/s

Explanation:

Formula:

Average Speed = Total Distance / Total Time

Given:

Total Distance = 150 m

Total Time = 160 - 120 = 40 s

To Find:

Average Speed

Solution:

Average Speed = 150/40

Average Speed = 3.75 m/s

Answer:

total work done = -5960.8 J

Explanation:

given data

initial volume v1 = 0.22 m³

initial pressure  p1 = 86 kPa

final pressue p2 = 101.3 kPa

solution

we apply here  isothermal expansion that is express as

p1 × v1 = p2 × v2    ......................1

put here value

86 × 0.22 = 101.3 × v2

v2 = 0.1867 m³  

and

work done will be here

w1 = p1 × v1  × ln([tex]\frac{p1}{p2}[/tex])      ....................2

w1 = 86 × 10³ × 0.22 × [tex]ln(\frac{86}{101.3})[/tex]

w1 = -3.097  × 10³ J

and

it is cooled to initial volume at constant pressure  so here work done will be

w2 = p(v2 - v1)    .................3

w2 =  86 × 10³ × ( 0.1867 - 0.22 )

w2 = -2863.8 J

so

total work done is

total work done = w1 + w2

total work done = -3097 +  -2863.8

total work done = -5960.8 J

Answer:

v = 1.69 m/s

Explanation:

Given that,

Displacement of the student is 304 m due North and it takes 180 s.

We need to find the student's average velocity. Using formula of velocity.

Velocity = displacement/time

[tex]v=\dfrac{304\ m}{180\ s}\\\\v=1.69\ m/s[/tex]

Hence, the student's average velocity is 1.69 m/s.

The student's average velocity will be "1.69 m/s".

The main distinction between velocity as well as speed would be that velocity, like speed, seems to have a direction and therefore it is a vector quantity.

This same distance travelled together along a straight line throughout a particular direction from either the beginning point is defined as displacement. Because displacement has both size as well as the direction, it's a vector quantity.

Given values:

We know,

The velocity (v):

= [tex]\frac{Displacement}{Time}[/tex]

By substituting the values, we get

= [tex]\frac{304}{180}[/tex]

= [tex]1.69 \ m/s[/tex]

Thus the answer above is correct.

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Let both the balls have the same mass equals to m.

Let [tex]v_1[/tex] and [tex]v_2[/tex] be the speed of the ball1 and the ball2 respectively, such that

[tex]v_1>v_2\;\cdots(i)[/tex]

Assuming that both the balls are at the same level with respect to the ground, so let h be the height from the ground.

The total energy of ball1= Kinetic energy of ball1 + Potential energy of ball1. The Kinetic energy of any object moving with speed, [tex]v[/tex], is [tex]\frac 12 m v^2[/tex]

and the potential energy is due to the change in height is [tex]mgh[/tex] [where [tex]g[/tex] is the acceleration due to gravity]

So, the total energy of ball1,

[tex]=\frac 12 m v_1^2 + mgh\;\cdots(ii)[/tex]

and the total energy of ball1,

[tex]=\frac 12 m v_2^2 + mgh\;\cdots(iii)[/tex].

Here, the potential energy for both the balls are the same, but the kinetic energy of the ball1 is higher the ball2 as the ball1 have the higher speed, refer equation (i)

So, [tex]\frac 12 m v_1^2 >\frac 12 m v_2^2[/tex]

Now, from equations (ii) and (iii)

The total energy of ball1 hi higher than the total energy of ball2.

Answer:

No

Explanation:

Hurricanes always do not bring heat. For example, Hurricane Sandy brought snow.