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2 years ago

10

Dacia wants to know how to determine the polar coordinate θ. What should Katarina tell Dacia?

1 answer:

crimeas [40]2 years ago

8 0

Answer:

r = √ x² + y² and θ = tan⁻¹ y / x

Explanation:

The polar coordinates are obtained by transforming the Cartesian coordinates (x y) into others (r tés), for this we use to find r the Pythagorean theorem

r = √ x² + y²

To find teas we use trigonometries

tan θ = y / x

θ = tan⁻¹ y / x

In general the angle can be given in any unit, but the most used in physics is in radians

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How and why does air pressure change with altitude in the atmosphere?

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Pressure with Height: pressure decreases with incrementing altitude. The pressure at any caliber in the atmosphere may be interpreted as the total weight of the air above a unit area at any elevation. At higher elevations, there are fewer air molecules above a given surface than a homogeneous surface at lower calibers.

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2 years ago

How does the theory of relativity explain the gravity exerted by massive objects?

Maslowich

(D)

Explanation:

The more massive an object is, the greater is the curvature that they produce on the space-time around it.

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2 years ago

5. How much time does it take for a bird flying at a speed of 45 kilometers per hour to travel a

Lyrx [107]

Answer:

$40h$

Explanation:

Use the velocity formula to solve

$v = \frac{d}{t}$

In this question, you are given velocity $v = 45km/h$ , and you are given a distance, $d = 1800km$ . Time in this question is what you'll need to find.

Start by rearranging the velocity formula, to isolate for t.

$v = \frac{d}{t}$

Start by multiplying both sides by t

$v(t) = \frac{d}{t}(t)\\\\vt = d$

Then divide both sides by v.

$vt\frac{1}{v} = d/v\\ \\t = \frac{d}{v}$

Now that you've isolated for time, sub in your values and calculate.

$t = \frac{d}{v} = \frac{1800km}{45km/h} = 40 h$

8 0

2 years ago

The quantity of charge q (in coulombs) that has passed through a surface of area 2.00 cm2 varies with time

Makovka662 [10]

Explanation:

We have,

Surface area, $A=2\ cm^2=0.0002\ m^2$

The current varies wrt time t as :

$q(t) = 4t^3 + 5t + 6$

(a) At t = 2 seconds, electrical charge is given by :

$q(t) = 4t^3 + 5t + 6\\\\q(2) = 4(2)^3 + 5(2) + 6\\\\q=48\ C$

(b) Current is given by :

$I=\dfrac{dq}{dt}\\\\I=\dfrac{d(4t^3 + 5t + 6)}{dt}\\\\I=12t^2+5$

Instantaneous current at t = 1 s is,

$I=12(1)^2+5=17\ A$

(c) Current is, $I=12t^2+5$

Current density is given by electric current per unit area.

$J=\dfrac{I}{A}\\\\J=\dfrac{(12t^2+5)}{0.0002}\\\\J=5000(12t^2+5)\ A/m^2$

Therefore, it is the required explanation.

7 0

3 years ago

A small mirror is attached to a vertical wall, and it hangs a distance of 1.87 m above the floor. The mirror is facing due east,

Oksana_A [137]

Answer:

t = 1.62 h

Explanation:

A flat mirror fulfills the law of reflection where the incident angle is equal to the reflected angle.

θ_i = θ_r

If we use trigonometry to find the angles, the mirror is at a height of L = 1.87 m, and the reflected rays reach a distance x1 = 3.56 m

tan θ₁ = x₁ / L

tan θ₁ = $\frac{3.56}{1.87}$

θ₁ = tan⁻¹ 1.90

θ₁ = 62.29º

for the second case x₂ = 1.46 m

tan θ₂ = x₂ / L

θ₂ = tan⁻¹ $\frac{1.46}{1.87}$

θ₂ = 37.98º

the difference in degree traveled is

Δθ = θ₁- θ₂

Δθ = 62.29 - 37.98

Δθ = 24.31º

as in the exercise they indicate that every 15º there is an hour

t = 24.31º (1h / 15º)

t = 1.62 h

4 0

2 years ago