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
dybincka [34]
3 years ago
5

Bryan Allen pedaled a human-powered aircraft across the English Channel from the cliffs of Dover to Cap Gris-Nez on June 12, 197

9. (a) He flew for 169 min at an average velocity of 3.53 m/s in a direction 45° south of east. What was his total displacement? (Enter the magnitude in km and the direction in degrees south of east.) magnitude km direction ° south of east (b) Allen encountered a headwind averaging 2.00 m/s almost precisely in the opposite direction of his motion relative to the Earth. What was his average velocity relative to the air? (Enter the magnitude in m/s and the direction in degrees south of east.) magnitude m/s direction ° south of east (c) What was his total displacement relative to the air mass? (Enter the magnitude in km and the direction in degrees south of east.) magnitude km direction ° south of east
Physics
1 answer:
Leno4ka [110]3 years ago
3 0

(a) 3.58 km 45° south of east

The total displacement is given by:

d=vt

where

v is the average velocity

t is the time

The average velocity is:

v = 3.53 m/s

While we need to convert the time from minutes to seconds:

t=169 min \cdot 60 s/min = 10140 s

Therefore, the magnitude of the displacement is

d=(3.53)(10140)=35794 m = 3.58 km

And the direction is the same as the velocity, therefore 45° south of east.

(b) 5.53 m/s 90° south of east

The velocity of the air relative to the ground is

v_a = 2.00 m/s

and the direction is exactly opposite to that of Allen, so it is 45° north of west. Allen's velocity relative to the ground is

v = 3.53 m/s

So this must be the resultant of Allen's velocity relative to the air (v') and the air's speed (v_a). Since these two vectors are in opposite direction, we have

v= v'-v_a

Therefore we find v', Allen's velocity relative to the air:

v'=v+v_a = 3.53 + 2.00 = 5.53 m/s

The direction must be measured relative to the air's reference frame. In this reference frame, Allen is moving exactly backward, so his direction will be 90° south of east.

(c) 56.1 km at 90° south of east.

Since Allen's velocity relative to the air is

v' = 5.53 m/s

Then the displacement of Allen relative to the air will be given by

d'=v't

and substituting,

d'=(5.53)(10140)=56074 m = 56.1 km

And the direction is the same as that of the velocity, therefore will be 90° south of east.

You might be interested in
The soccer game begins with a ______ ______ in the center of the field
blagie [28]
It begins with a kick-off
6 0
3 years ago
If a substance absorbs energy but its temperature does not change, then the internal energy is changing.
Fed [463]

If a substance absorbs energy but its temperature does not change, then the internal potential energy is changing.

4 0
3 years ago
If you weigh 882 N on EARTH (HINT: What number do we ALWAYS use for gravity on Earth), what is your mass? ​
Softa [21]
882 divided by 9.81 (this is acceleration due to gravity) it equals 89.91
4 0
3 years ago
The water cycle was described in the Scriptures long before modern scientists understood it.
s344n2d4d5 [400]

Answer:

False

Explanation:

Low humidity is typically associated with cold temperatures since cold air holds less water compared to warm air. While it is possible for indoor humidity to be as low as 10%, most people generally find humidity levels of about 40 to 45 percent comfortable.

4 0
2 years ago
Read 2 more answers
What is the sun's thickest layer?<br>besides radiation zone?
makvit [3.9K]
Corona gas star is literally z thickest layer. hope it helped.
3 0
3 years ago
Read 2 more answers
Other questions:
  • Object A attracts object B with a gravitational force of 10 newtons from a given distance. If the distance between the two objec
    8·1 answer
  • Two railroad cars, each of mass 6500 kg and traveling 80 km/h in opposite directions, collide head-on and come to rest. how much
    10·1 answer
  • Where do mosquito lay eggs
    8·2 answers
  • a bird flies north with a force of 11N, the air resistance is 2N.show the vectordiagram, with the magnitude and displacement ind
    5·1 answer
  • What do you expect the enclosed current is for a bar magnet?
    6·1 answer
  • Determine the total moment of inertia of a merry-go round with 5 children sitting on it. Of the five children, four are seated a
    6·1 answer
  • Octane (C8H18) is burned with dry air. The volumetric analysis of the products on a dry basis is as below. (Fig. 15–12) Determin
    13·1 answer
  • How much resistance allows 6V battery to produce a current of 0.006 amps?
    14·1 answer
  • What is the frequency of this wave<br> 1<br> 2<br> 3<br> 4
    10·1 answer
  • According to the big bang theory, what did protons and neutrons form from?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!