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3 years ago

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A driver in a car traveling at a speed of 26.8 m/s sees a deer 100 m away on the road. Calculate the minimum constant accelerati

on that is necessary of the car to stop without hitting the deer (assuming the deer does not move).
-4.20 m/s2

-1.75 m/s2

-2.89 m/s2

-3.59 m/s2

1 answer:

ZanzabumX [31]3 years ago

6 0

-3.5912m/s^2Use vf^2 = vi^2 + 2ax in your calculations, knowing vf, vi, and x.

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1. What type of interference is happening when intersecting light waves subtract from each other to create dark spots? Which let

user100 [1]

Answer:

1. The type of interference happening when intersecting light waves subtract from each other to create dark spots is known as destructive interference

Destructive interference happens when the positive displacement or crest of one wave is cancelled by the negative displacement, or through of another wave of the same frequency resulting in a wave with lower amplitude

The letter on the diagram that shows destructive interference is the letter "c"

2. When particles pass translate through a key hole, they do not interfere with each. Therefore, when light is considered as a stream of particles, when it passes through a keyhole, there will be no interference, and the light will particles will not interact with other light particles such that the pattern formed on on a wall on the other where the particles impinge on will be the shape of the single slit or keyhole

3. Three behaviors of light that support the theory that light travels in waves includes;

a) Refraction

b) Interference

c) Diffraction

Refraction

Refraction describes the change in velocity of light when it travels from one medium to another of different density, in which the light changes its speed

Interference

Interference is the superposition of two or more waves with the addition of the wave displacements resulting in a wave of larger or lesser amplitude than each of the individual waves

Diffraction

Diffraction is defined as the tendency of light to bend or spread when it goes past an object placed in its path by passing around the objects edge

4. The properties of a blackbody radiator includes;

1) A blackbody radiator absorbs all electromagnetic radiation incident on it

2) A blackbody radiator is capable of emitting black-body radiation

3) The peak of the emitted radiation depends on the blackbody temperature

4) The length of the wavelength of the peak radiation is inversely proportional to the temperature of the blackbody

5) The blackbody has zero coefficient of reflection or transmission and therefore, it does not reflect incident heat or light which makes it black

An example of a blackbody radiator is a burglar alarm that flashes light when there is an incident but cannot be ordinarily seen because of its dark color which is meant to absorb all incoming light

Explanation:

Wave interference is the phenomenon which describes the effect of the coming together or superposition of two or more waves to result in a wave displacement at a given point that is either reinforced (larger), cancelled (lower) amplitudes or the waves may have their original amplitudes when there is no interference

The wave displacement for the waves coming from the same source are taken as vectors from which the combination is calculated by using vector addition.

4 0

3 years ago

A 12,500 N alien UFO is hovering about the surface of Earth. At time , its position can be given as () = ((0.24 m/s^3)^3 + 25 m)

stepladder [879]

a) $F=(3675i-4543k)N$

b) 5843 N

Explanation:

a)

The position of the UFO at time t is given by the vector:

$r(t)=(0.24t^3+25)i+(4.2t)j+(-0.43t^3+0.8t^2)k$

Therefore it has 3 components:

$r_x=0.24t^3+25\\r_y=4.2t\\r_z=-0.43t^3+0.8t^2$

We start by finding the velocity of the UFO, which is given by the derivative of the position:

$v_x=r'_x=\frac{d}{dt}(0.24t^3+25)=3\cdot 0.24t^2=0.72t^2\\v_y=r'_y=\frac{d}{dt}(4.2t)=4.2\\v_x=r'_z=\frac{d}{dt}(-0.43t^3+0.8t^2)=-1.29t^2+1.6t$

And then, by differentiating again, we find the acceleration:

$a_x=v'_x=\frac{d}{dt}(0.72t^2)=1.44t\\a_y=v'_y=\frac{d}{dt}(4.2)=0\\a_z=v'_z=\frac{d}{dt}(-1.29t^2+1.6t)=-2.58t+1.6$

The weight of the UFO is W = 12,500 N, so its mass is:

$m=\frac{W}{g}=\frac{12500}{9.8}=1276 kg$

Therefore, the components of the force on the UFO are given by Newton's second law:

$F=ma$

So, Substituting t = 2 s, we find:

$F_x=ma_x=(1276)(1.44t)=(1276)(1.44)(2)=3675 N\\F_y=ma_y=0\\F_z=ma_z=(1276)(-2.58t+1.6)=(1276)(-2.58(2)+1.6)=-4543 N$

So the net force on the UFO at t = 2 s is

$F=(3675i-4543k)N$

b)

The magnitude of a 3-dimensional vector is given by

$|v|=\sqrt{v_x^2+v_y^2+v_z^2}$

where

$v_x,v_y,v_z$ are the three components of the vector

In this problem, the three components of the net force are:

$F_x=3675 N\\F_y=0\\F_z=-4543 N$

Therefore, substituting into the equation, we find the magnitude of the net force:

$|F|=\sqrt{3675^2+0^2+(-4543)^2}=5843 N$

7 0

3 years ago

The rate (in liters per minute) at which water drains from a tank is recorded at half-minute intervals. Use the average of the l

lana [24]

Answer:

see explanation

Explanation:

You are missing the chart with the rates and time to do this, however, I wll do it with a similar exercise here, and you only need to replace the procedure with your data:

See the attached table.

From the left we have:

r = 1/2 (50 + 48 + 46 + 44 + 42 + 40) = 135 L/min

From the right we have:

r = 1/2 (48 + 46 +44 + 42 + 40 + 38) = 129 L/min.

And this should be the correct answer. Watch your chart and replace if it's neccesary.

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3 years ago

What is one disadvantage of a series circuit?

nlexa [21]

If one bulb goes out then all the others won't light up because electricity will be cut off. It's a disadvantage because in a parallel circuit if one bulb burns out all the others will still be on because they won't be affected. I hope I've helped you ☺

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3 years ago

enyata [817]

The sun <u><em>appears</em></u> brighter than any other star.

(It isn't really, but it looks that way because it's much much much much much much closer to us than any other star.)

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3 years ago