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Ainat [17]
2 years ago
6

Two planets X and Y travel counterclockwise in circular orbits about a star, as seen in the figure.

Physics
1 answer:
sergeinik [125]2 years ago
8 0

Planet Y has rotated by 135.5° through during this time.

To find the answer, we need to know about the relation between angle and radius of orbit.

<h3>What's the expression of angle in terms of radius?</h3>
  • Angle= arc/radius
  • As arc = orbital velocity × time,

            angle= (orbital velocity × time)/radius

  • Orbital velocity= √(GM/radius), G= gravitational constant and M = mass of sun
  • So, angle = (√(GM)× time)/radius^3/2
<h3>What's is the angle rotated by planet Y after 5 years, if ratio of the radius of orbit of planet X and Y is 4:3 and planet X is rotated by 88°?</h3>
  • Let Ф₁= angle rotated by planet Y, Ф₂= angle rotated by planet X
  • As time = 5 years ( a constant)
  • Ф₁/Ф₂= (radius of planet X / radius of planet Y)^(3/2)
  • Ф₁= (radius of planet X / radius of planet Y)^(3/2) × Ф₂

   = (4/3)^(3/2) × 88°

   = 135.5°

Thus, we can conclude that Planet Y has rotated by 135.5° through during this time.

Learn more about the orbital velocity here:

brainly.com/question/22247460

#SPJ1

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Architects have to consider how sound travels when designing large buildings such as theaters, auditoriums, or museums. Sound in
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Answer:

  I₂ = 0.04 W / m²

Explanation:

Sound intensity is the power emitted between the unit area

          I = W / A

         W = I A

sound is a wave that travels in space whereby its energy is distributed on the surface of a sphere

         A = 4π r²

we substitute

         W = I (4π r²)

the emission power is constant, so the intensity at two different points is

           W = I₁ 4π r₁² = I₂ 4π r₂²

so the equation is

            I₁ r₁² = I₂ r₂²

In this case the units are not shown in the exercise, suppose that all units are in the SI system

           I₂ = I_1 \ \frac{r_1^2}{r_2^2}

let's calculate

           I₂ = 4 4 \  \frac{2^2}{20^2}

           I₂ = 0.04 W / m²

5 0
3 years ago
List two advantages and two disadvantages to worldwide use of SI.
katrin [286]

Two disadvantages Retooling and conversion of machines and equipment in the US would be very expensive

Some expressions in the English language would eventually be quite strange: “A miss is as good as a mile”; “Inching along…”; “Ten gallon hat”; “The whole nine yards” & etc. Advantages everything is based on 10 so its easy to switch units

scientists can share info internationally

4 0
4 years ago
What effect does friction have on a moving object? i forgot this pls help tyy
Vsevolod [243]

Answer:it causes the moving object to slow eventually stop

Explanation:

5 0
4 years ago
Vector A, with magnitude 28.0 units, points in the positive y-direction. Vector A + B has a magnitude of 19.0 units and points i
Leokris [45]
<h2>Answer:</h2>

|B|  = 47.0 units

<h2>Explanation:</h2>

The sum of two vectors (A) and (B) gives another vector (A + B). i.e

(A + B) = (A) + (B)       ----------------(i)

<em>From the question;</em>

Vector A = 28.0 units in the positive y-direction. This means that the value of the x-component is zero and the value of the y-component is +28

In unit vector notation vector A is given as;

A = 0i + 28.0j

Vector A + B = 19.0 units in the negative y-direction. This means that the value of the x-component is zero and the value of the y-component is -19.0

In unit vector notation, vector A + B is given as;

A + B = 0i - 19.0j

To get the magnitude of vector B, make B the subject of the formula in equation (i) as follows;

(B) = (A + B) - (A)            ------------------ (ii)

Substitute the values of the vectors (A) and (A + B) into equation (ii) as follows;

(B) = (0i - 19.0j) - (0i + 28.0j)

(B) = - 19.0j - 28.0j

(B) = - 47.0j

The magnitude of B, |B|, is therefore;

|B| = |-47.0|

|B| = 47.0 units

8 0
4 years ago
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