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Anestetic [448]
3 years ago
13

A camera phone called the iPhone X has an image sensor size of 5 mm and a focal length of 4 mm. How long of a selfie-stick must

you use to take a picture of you and Liz Cambage of the Las Vegas Aces who stands at 2.032 meters and not be cropped (i.e., the image size can't exceed 5 mm)?
Physics
1 answer:
azamat3 years ago
4 0

Answer:

length of selfie-stick is 1.62 m

Explanation:

Given data

image size h1 = 5 mm = 5 ×10^{-3} m

focal length = 4 mm = 4 ×10^{-3} m

distance h2 = 2.032 m

to find out

How long of a selfie-stick

solution

here we find first magnification

that is M = h1 /h2

M = 5 ×10^{-3} / 2.032

M = 2.46 ×10^{-3}

and we know M = p/q

so p = Mq = 2.46 ×10^{-3} q

so we apply lens formula

1/f = 1/p - 1/q

1/ 4 ×10^{-3} = 1 / 2.46 ×10^{-3}  q - 1/q

q = 1.622 m

so length of selfie-stick is 1.62 m

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You stand on a straight desert road at night and observe a vehicle approaching. This vehicle is equipped with two small headligh
g100num [7]

To solve this problem we will apply trigonometric and optical concepts that allow us to obtain the minimum distance required. The resolution of the eye is given under the following condition,

\theta = \frac{1.22\lambda}{D}

Here,

\lambda = Wavelength

D = Diameter

With the values we have that the diameter will be,

\theta = \frac{1.22(534nm)}{5.37mm}

\theta = 1.213*10^{-4}

The relation between the distance of the lights and the distance from the eye to the lamp is given under the function,

sin\theta = \frac{d}{L}

For small angles sin\theta = \theta, then

\theta = \frac{d}{L}

Here,

d = Distance between lights

L = Distance from eye to lamp

1.213*10^{-4} = \frac{0.673m}{L}

L = \frac{0.673m}{1.213*10^{-4}}

L = 5548.22m

Therefore the distance will be 5.5km

5 0
3 years ago
Plz do it all i will give brainlest and thanks to best answer do it right plz
kirill115 [55]

The answer is D

Explanation:

soundwaves can travel through water aka a liquid but secondary waves cant

7 0
3 years ago
How much force is needed to accelerate a 62 kg skier at 3 m/sec2?
Fittoniya [83]

Answer:

<h2>The answer is 186 N</h2>

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

<h3>force = mass × acceleration</h3>

From the question

mass = 62 kg

acceleration = 3 m/s²

We have the final answer as

force = 62 × 3

We have the final answer as

<h3>186 N</h3>

Hope this helps you

8 0
3 years ago
You push your couch a distance of 3.9 m across the living room floor with a horizontal force of 220.0 n. the force of friction i
Mrac [35]

The general formula to calculate the work is:

W=Fd \cos \theta

where F is the force, d is the displacement of the couch, and \theta is the angle between the direction of the force and the displacement. Let's apply this formula to the different parts of the problem.


(a) Work done by you: in this case, the force applied is parallel to the displacement of the couch, so \theta=0^{\circ} and \cos \theta=1, therefore the work is just equal to the product between the horizontal force you apply to push the couch and the distance the couch has been moved:

W=Fd=(220.0 N)(3.9 m)=858 J


(b) work done by the frictional force: the frictional force has opposite direction to the displacement, therefore \theta=180^{\circ} and \cos \theta=-1. Therefore, we must include a negative sign when we calculate the work done by the frictional force:

W=-Fd=-(144.0 N)(3.9 m)=-561.6 J


(c) The work done by gravity is zero. In fact, gravity (which points downwards) is perpendicular to the displacement of the couch (which is horizontal), therefore \theta=90^{\circ} and \cos \theta=0: this means

W=0.


(d) Work done by the net force:

The net force is the difference between the horizontal force applied by you and the frictional force:

F=220 N-144 N=76 N

And the net force is in the same direction of the displacement, so \theta=0^{\circ} and \cos \theta=1 and the work done is

W=Fd=(76 N)(3.9 m)=296.4 J


4 0
3 years ago
An object is traveling at a constant velocity of 10m/s for 4 seconds. What is its acceleration?
saw5 [17]

Answer:

<h2>The answer is 2.5 m/s²</h2>

Explanation:

The acceleration of an object given it's velocity and time taken acting on it can be found by using the formula

acceleration =  \frac{velocity}{time}  \\

From the question

time = 4 s

velocity = 10 m/s

So we have

acceleration =  \frac{10}{4}  =  \frac{5}{2}  \\

We have the final answer as

<h3>2.5 m/s²</h3>

Hope this helps you

5 0
4 years ago
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