1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lidiya [134]
3 years ago
8

An airplane has a speed of 135 mi/h in still air. It is flying straight north so that it is always directly above a north-south

highway. A ground observer tells the pilot by radio that a 70 mi/h wind is blowing, but neglects to give the wind direction. The pilot observes that despite the wind, the plane can travel 135 miles along the highway in an hour. What is the direction of the wind
Physics
1 answer:
vlabodo [156]3 years ago
8 0

Answer:

The answer is below

Explanation:

Let vₐ be the speed of airplane = 135 mph, vₙ be the speed of the wind = 70 mph and vₐₙ be the speed of the airplane relative to the wind.

The distance (d) = 135 miles, Δt = 1 hour, vₐₙ = 135 miles / 1 hour = 135 mph

vₐ = vₙ + vₐₙ

vₐ = vₐₙ

Therefore, vₐ, vₐₙ, vₙ can be represented by an isosceles triangle since vₐ = vₐₙ.

The direction of the wind θ is:

sin(θ / 2) = vₙ / 2vₐ

sin(θ / 2) = 70/ (2*135)

sin(θ / 2) = 0.2593

θ / 2 = sin⁻¹(0.2593) = 15

θ = 30⁰

2α = 180° - 30°

2α = 150°

α = 75°

a) The direction of the wind is 75° in the south east direction while the airplane is heading 30° in the north east direction.

You might be interested in
After landing on an unexplored Klingon planet, Spock tests for the direction of the magnetic field by firing a beam of electrons
BARSIC [14]

Answer:

Magnetic field is in south west direction .

Explanation:

Let us represent various direction by  i , j, k . i representing east , j representing north and k representing vertically upward direction .

magnetic field is represented vectorially as follows

B = B₀ ( - i - j )

In the first case velocity of electron

v = v k

Force = q ( v x B )

= -e [ vk x B₀ ( - i - j ) ]

= evB₀ ( j -i )

Direction of force is north -west .

In the second case velocity of electron

v = vj

Force = -e [ vj x B₀ ( - i - j ) ]

= - evB₀ k

force is downward

In the third case, velocity of electron

v = v( -j +i )

Force = -e [ v( -j +i ) x B₀ ( - i - j ) ]

= 2 evB₀ k

Force is upward.

3 0
3 years ago
Work done= ________ transferred
mamaluj [8]

Answer:

Work done= Energy transferred

Explanation:

Work is the transfer of energy. In physics we say that work is done on an object when you transfer energy to that object. If you put energy into an object, then you do work on that object (mass).

4 0
3 years ago
Which of the following is not a constant or control for this experiment?
SCORPION-xisa [38]
D.the amount of time in sun
8 0
3 years ago
Read 2 more answers
1. An object is traveling at a constant velocity of 30 m/s when it experiences a constant
Yanka [14]

Answer:use

Explanation:google

7 0
2 years ago
When you calculate the SLOPE of a line segment, what does the SLOPE represent? (Choose all that apply) the Distance traveled the
dolphi86 [110]

Answer:

Please find the answer in the explanation

Explanation:

When you calculate the SLOPE of a line segment, what does the SLOPE represent? (Choose all that apply) the Distance traveled the Displacement the Velocity the Acceleration None of the above

The slope of any time graph can not give you distance or displacement except for position - time graph.

When you plot either distance or displacement against time, that is, distance time graph or displacement time graph, you can get speed or velocity as the slope of the line segment.

You can only acceleration as a slope in a line of best fit if velocity is plotted against time. That is, in a velocity time graph.

5 0
2 years ago
Other questions:
  • Col. Joe Kittinger of the United States Air Force crossed the Atlantic Ocean in nearly 86 hours. The distance he traveled was 57
    8·1 answer
  • Two cars drive on a straight highway. At time t=0, car 1 passes mile marker 0 traveling due east with a speed of 20.0 m/s. At th
    10·1 answer
  • The blue laser in a blue ray DVD player is 405nm laser in vacuum. The aser strikes a quartz crystal with index of refraction 1.4
    9·1 answer
  • Fig. 9.1
    5·1 answer
  • The focal point of a concave mirror is _____ the mirror. ( in front of; behind)
    9·2 answers
  • Peter rides his bike 5 blocks north and then 10 blocks east. What is his displacement? What is his total distance traveled?
    12·1 answer
  • Only the component of force perpendicular to the direction motion does work. true or false
    6·1 answer
  • Two particles with masses m and 3m are moving toward each other along the x axis with the same initial speeds Vi. Particle m is
    11·1 answer
  • Which changes of state occur between solids and gases? Check all that apply.
    6·2 answers
  • At what time would the object reach a speed of 45 km/ hr? and what is the objects acceleration <br>​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!