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exis [7]
3 years ago
11

An airplane is flying in a jet stream that is blowing at 45.0 m/s in a direction 23° south of east. Its direction of motion rela

tive to the earth is 45.0° south of west, while its direction of travel relative to the air is 7° south of west. What is the airplane's speed relative to the air mass in meters per second?
Physics
1 answer:
jeyben [28]3 years ago
7 0

Answer:

velocity with respect to air as

Vpa = 1.83 m/s

Explanation:

Given data:

Vae = 45.0 m/s

\theta_ae (air with respect to earth)  = 23°

\theta_pe  (plane with respect to Earth)  = 45°

\theta_pa  (plane with respect to air) =7°  

We have ,

Vpe = Vpa + Vae

substituting each values with corresponding angle we get

Vpe (cos 45i + sin45 j) = Vpa (cos 7i + sin7 j) +  45 (cos 23i + sin23 j)

where,

Vpe - plane velocity with repect to earth

Vpa - planevelocity with respect to air

Vae  - air velocity with respect to earth

Solving

Vpe (0.52i + 0.85 j) = Vpa (0.73i + 0.65 j) +  45 (-0.53i - 0.84 j)

considering  i terms and j terms separately

Vpe *0.52 =  Vpa (0.73 +45 *(-0.53))

Vpe = 1.40 Vpa -45.86

Vpe *0.85 =  Vpa (0.65 +45 *(-0.84)

Vpe =0.76Vpa - 44.47

putting one value Vpe in either equation we get :

1.40 Vpa -45.86 = 0.76Vpa - 44.47

velocity with respect to air as

Vpa = 1.83 m/s

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Answer:

The breaking in <em>molecular</em> bonds in food releases energy for your body to use.

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3 years ago
Two point charges of equal magnitude are 8.0 cm apart. At the midpoint of the line connecting them, their combined electric fiel
bagirrra123 [75]

Answer:

r = 8/2 = 4cm = 0.04m

k = 9×10^9

Enet = 51 N/C

Enet = E1 + E2

since E1 = E2

E1 = Enet/2 = 51/2

E/2 = kq/r²

q = Er²/2k

q = (51 × 0.04²)/(2×9×10^9)

q = 4.5×10^-12 C

q1 = q2 = 4.5 pC

Explanation:

The electric field is a region around a

charge in which it exerts electrostatic force

on another charges. While the strength of

electric field at any point in space is called

electric field intensity. It is a vector

quantity. Its unit is NC¯¹.

According to coulomb’s law ,if a unit

positive charge q (call it a test charge) is

brought near a charge q (call a field

charge) placed in space,the charge q will

experience a force. The value of this force

depends upon the distance between the

two charges. If the charge q is moved

away from q ,this force would decrease till

at a certain distance the force would be

practically reduced to zero. The charge q

is then out of the influence of charge q.

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q in which it exerts a force on the charge

q is known as E.F of the charge

q. Mathematically it is expressed as:

E =F/q

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7 0
3 years ago
A 3.00N rock is thrown vertically into the air from the ground. At h=15.0m, v=25m/s upward. Use the work-energy theorem to find
butalik [34]

Answer:

so initial speed of the rock is 30.32 m/s

correct answer is b. 30.3 m/s

Explanation:

given data

h = 15.0m

v = 25m/s

weight of the rock m = 3.00N  

solution

we use here work-energy theorem that is express as here

work = change in the kinetic energy    ..............................1

so it can be written as

work = force × distance     ...................2

and

KE is express as

K.E = 0.5 × m × v²  

and it can be written as

F × d = 0.5 × m × (vf)² - (vi)²      ......................3

here

m is mass and vi and vf is initial and final velocity

F = mg = m  (-9.8)  , d = 15 m and v{f} = 25 m/s

so put value in equation 3 we get

m  (-9.8) × 15 = 0.5 × m × (25)² - (vi)²

solve it we get

(vi)² =  919

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so initial speed of the rock is 30.32 m/s

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