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
Finger [1]
3 years ago
5

An airplane pilot sets a compass course due west and maintains a speed of 220 km/h. after flying for a half hour she finds herse

lf over a town 120 km west and 20 km south of her starting point. (a) find the wind velocity (magnitude and direction). (b) if the wind velocity is 40 km/h due south, in what direction should the pilot set her course to travel due west? use the same airspeed of 220 km/h.
Physics
2 answers:
aivan3 [116]3 years ago
6 0

Answer:

v_w = 44.7 km/h

\theta = 63.4 degree

Explanation:

As we know that the velocity of the plane is

v_1 = 220 km/h towards west

after half an hour the displacement of the plane in west direction is given as

x = 120 km

towards south the displacement is given as

y = 20 km

now we know that net velocity towards west

v_p + v_w = \frac{120}{0.5}

220 + v_w = 240

v_w = 20 km/h

Similarly towards south we have

v_w = \frac{20}{0.5}

v_w = 40 km/h

So the net speed of the wind is given as

v_w = 20 \hat i + 40\hat j

v_w= \sqrt{20^2 + 40^2}

v_w = 44.7 km/h

direction of wind is given as

tan\theta = \frac{v_y}{v_x}

\theta = tan^{-1}\frac{40}{20}

\theta = 63.4 degree

timurjin [86]3 years ago
5 0

The net speed due west is = distance traveled in west / time taken = 120/0.5 = 240 km/h.  

so airspeed due west is  = net speed - speed of plane = 240-220= 20 km/h.  

airspeed due south is = distance traveled in west / time taken= 20/0.5= 40 km/h.  

the magnitude of the wind velocity = √[(airspeed due south )² + (airspeed due west)²] = √ ( 40^2 + 20^2 ) = 44.72 km/h

the angle of airspeed south of west is tan⁻¹ ( airspeed due south / airspeed due west )= tan⁻¹(40/20)=63.43 degrees.  

if wind velocity is 40 km/h due south, her velocity should have 20 km/h component in north.

so component west = sqrt ( 220^2 - 40^2 ) = 216.33 km/h.  

the angle north of west is arctan( 40/216.33 ) = 10.47 degrees.

You might be interested in
If you climb to the top of Mt. Everest, you will be 8850 m (about 5.50 mi) above sea level.
Umnica [9.8K]

Answer:

9.773m/s2

Explanation:

Given,

h=8848m

The value of sea level is 9.08m/s2

So,

Let g′ be the acceleration due to the gravity on the Mount Everest.

g′=g(1−h2h)

=9.8(1−640000017696)

=9.8(1−0.00276)

9.8×0.99724

=9.773m/s2

Thus, the acceleration due to gravity on the top of Mount Everest is =9.773m/s2

Hope it helped!!!

5 0
3 years ago
A ball of mass m is thrown into the air in a 45° direction of the horizon, after 3 seconds the ball is seen in a direction 30° f
Rzqust [24]

Answer:

Velocity (magnitude) is 98.37 m/s

Explanation:

We use the vertical component of the initial velocity, which is:

v_{0y}=v_0*sin(45)=\frac{\sqrt{2} }{2}v_0

Using kinematics expression of vertical velocity (in y direction) for an accelerated motion (constant acceleration, which is gravity):

v_{y}=v_{0y}+a*t=\frac{\sqrt{2} }{2}v_0-9.8t

Now we need to find v_y as a function of v_0. We use the horizontal velocity, which is always the same as follow:

v_x=v_0cos(45\º)=\frac{\sqrt{2} }{2}v_0=v_{t=3}*cos(30\º) \\

We know the angle at 3 seconds:

v_y(t=3)=v_{t=3}*sin(30\º)\\v_{t=3}=\frac{v_y}{sin(30\º)}

Substitute  v_{t=3} in  v_x and then solve for  v_y

\frac{\sqrt{2} }{2}v_0=\frac{v_y*cos(30\º) }{sin(30\º)} \\v_y=\frac{\sqrt{6} }{6}v_0

With this expression we go back to the kinematic equation and solve it for initial speed

\frac{\sqrt{6} }{6} v_0 =\frac{\sqrt{2} }{2}v_0-29.4\\v_0(\frac{\sqrt{6}-3\sqrt{2}}{6} )=-29.4\\v_0=98.37 m/s

3 0
4 years ago
I need help on all of this! If you can! It's okay to give me only some of the answers!!! :)
Ber [7]
From this picture, we can learn many things.
One of them is:  You have nice toes on your left foot.

#10).  That's 'electric current'.

#11). 
On the left:  Only one possible path for current.  That's a series circuit.
On the right:  Two (or more) possible paths for current.  That's a parallel circuit.

#12).
If lamp-A burns out, lamp-B will go out too.  All of the current for both lamps has to flow through both of them, because that's the only path in the circuit.  If one lamp burns a hole in itself, then current can't flow through the circuit any more, and everything goes out.  That's how a series circuit behaves.

If lamp-C burns out, lamp-D continues to shine.  Even though current can't flow through lamp-C any more, it can ctill flow through lamp-D, so lamp-D doesn't care.  It keeps shining.

#13).
No, they don't have to.  If there's ENOUGH charge built up on them,
then the attraction between the charges is strong enough to jump across
from one object to the other one. 
This is exactly what happens when ENOUGH charge builds up on the
bottom of a cloud ... the charge can jump across the whole open space
between the cloud and the ground.  We call that "lightning".

#14).  I'm not sure I can explain this with things you've already learned.
Try this:
Electrons have to do some work to flow through a wire.  That's why
we need a battery to make current flow in a circuit.  The battery
supplies energy for the electrons to use on their trip through the wire. 
The electrons give up some of their energy as they flow through the wire,
and it comes out of the wire in the form of heat energy. 
(If there was ENOUGH current flowing through the wire, then the wire
would get so hot that it would glow.  This is exactly what's going on in
a light bulb.)

#15). 
Look back at the picture of the parallel circuit ... the one with lamps C and D.

Let's say the student built the circuit with only lamp-C in it, and then he
wanted to increase the current in the circuit.  There are two ways he could
do that:

. . . . . Put in a battery with more voltage.

. . . . . Add the other lamp ... lamp-D.  Now that the current has two
possible paths, more current will come out of the battery, and some
of it will follow each path.

#16).
I talked about this earlier.
The 'filament' is the little thin wire inside the light bulb.  It's made to get
very hot and start to glow when current flows through it.  It can do that
for a long time without burning up, because all the air has been pulled
out of the bulb.  But sooner or later, that little skinny wire is going to break,
and then, there's no path for current to flow through the bulb. We call it
a "burned out" bulb.

#17). 
If the resistance in the circuit changes (and the voltage of the battery
stays the same), then the current in the circuit decreases.

#18).
When you rub the balloon against your hair, electrons come off of
one surface and jump onto the other one ... I can never remember
whether the electrons jump to the balloon or to the hair.  But whatever
direction it is, the balloon becomes charged ... either it has too many
electrons (negative charge) or else it has not enough electrons (positive
charge). 
When you put the balloon up against the wall, some charges in the wall
move either toward or away from the balloon.  THEN, you have two charged
objects, attracting each other, so they stick, until some charges leak away
onto air molecules that pass by.

#19).
Whenever we see electrical stuff going on, it's always electrons that are moving.

You've learned how an atom is built ... electrons in a cloud around the outside,
and the protons in the nucleus, deep deep deep deep inside the atom.
The nucleus is kind of protected from the outside world by being inside the
cloud of electrons.  Nothing leaves the nucleus unless it's in a radioactive
substance, or else it's being shot with high-energy particles in an "atom
smasher" in a Physics laboratory.  In the everyday world, it's only electrons
flowing through electrical things, jumping from clouds to the ground in lightning,
or jumping between your finger and the doorknob after you walk across the
carpet.

#20).

Again, this is an awful lot of work for 5 points, and you don't learn very much
when somebody else gives you whole answers.  So I'm going to stop here,
and leave the rest to you or to another Brainly contributor. 

7 0
4 years ago
PLZ HELP DUE IN 10MIN!!!!!!!!!The temperature of the water vapor (H2O) inside a pressure cooker increased from 295 K to 395 K. A
madreJ [45]

Did you ever figure it out, bc now I need it lol.

3 0
3 years ago
A car is traveling at 120 km/h (75 mph). When applied the braking system can stop the car with a deceleration rate of 9.0 m/s2.
Bumek [7]

Answer:

the number of additional car lengths approximately it takes the sleepy driver to stop compared to the alert driver is 15

Explanation:

Given that;

speed of car V  = 120 km/h = 33.3333 m/s

Reaction time of an alert driver = 0.8 sec

Reaction time of an alert driver = 3 sec

extra time taken by sleepy driver over an alert driver = 3 - 0.8 = 2.2 sec

now, extra distance that car will travel in case of sleepy driver  will be'

S_d = V × 2.2 sec

S_d = 33.3333 m/s × 2.2 sec

S_d = 73.3333 m

hence, number of car of additional car length  n will be;

n = S_n / car length

n = 73.3333 m / 5m

n = 14.666 ≈ 15

Therefore, the number of additional car lengths approximately it takes the sleepy driver to stop compared to the alert driver is 15

8 0
4 years ago
Other questions:
  • Sam's bike tire contains 15 units of air particles and has a volume of 160mL. Under these conditions the pressure reads 13 psi.
    13·1 answer
  • A vacuum tube can be used to__. A. change alternating current into direct current B. increase the strength of a signal.. C. turn
    13·2 answers
  • While standing at the edge of the roof of a building, you throw a stone upward with an initial speed of 7.83 m/s. the stone subs
    11·2 answers
  • A person slaps her leg with her hand, bringing her hand to rest in 2.50 milliseconds from an initial speed of 4.00 m/s. (a) What
    13·1 answer
  • Deadpool is doing a superhero landing from a 21 meter tall building what would his velocity be right before he hits the ground?
    8·1 answer
  • HEY YOU! STOP SCROLLING!!! HELP ME?? BRAINLIEST ANSWER + FIVE STAR RATING!! Temperature differences across latitude cause A. )vo
    14·1 answer
  • What are some examples of irreversible processes in nature?
    9·1 answer
  • Cho hệ thống thùng lắc có mô hình tại vị trí đang xét như hình vẽ
    10·2 answers
  • A 40 kg girl is pushing a 40 kg boy in a 20 kg toy wagon. The wagon is moving at a constant speed of 2.0 m/s. Calculate the comb
    13·1 answer
  • I have no clue what to do please help.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!