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
ohaa [14]
3 years ago
10

A pilot heads his jet due east. The jet has a speed of 475 mi/h relative to the air. The wind is blowing due north with a speed

of 30 mi/h. (Assume that the i vector points east, and the j vector points north.)
a. Express the velocity of the wind as a vector in component form.
b. Express the velocity of the jet relative to the air as a vector in component form.
c. Find the true velocity of the jet as a vector.
d. Find the true speed of the jet. (Round your answer to the nearest integer.)
e. Find the direction of the jet.
Physics
1 answer:
maria [59]3 years ago
4 0

Answer:

a) V = 30j

b) U = 475i

c) W = 475i + 30j

d) true speed = 475.95mi/h

e) Direction = 3.62°

Explanation:

The speed of the jet is 475mi/h relative to air.

The wind speed is 30mi/h to the north.

a) The velocity of the wind represented by a ve tor v in component form is given by:

V = 30j

b) The velocity of the jet relative to the air represented by a vector U in component form is given by:

U = 475i

c) The true velocity of the jet as a vector W is represented as W is given by:

W = U + V = 475i + 30j

d) The true speed of the jet is given by:

W = Sqrt(475^2 +30^2)

W = Sqrt(225625 + 900)

W = Sqrt(226525)

W = 475.95mi/h

e) The direction of the jet is given by :

Theta = Tan^-1 (30/475)

Theta = Tan^-1(0.06316)

Theta = 3.62°

You might be interested in
T or F A red-hot object is hotter than one that is while-hot?
leva [86]

Answer:

True. The two laws of thermal radiation state; 1) "Each square meter of a hotter object

Explanation:

5 0
2 years ago
A disk shaped grindstone of mass 3.0 kg and radius 8 cm is spinning at 600 rpm. After the power is shut off the frictional torqu
seropon [69]

Answer:

\theta=50\ revolution

Explanation:

It is given that,

Mass of the grindstone, m = 3 kg

Radius of the grindstone, r = 8 cm = 0.08 m

Initial speed of the grindstone, \omega_i=600\ rpm=62.83\ rad/s

Finally it shuts off, \omega_f=0

Time taken, t = 10 s

Let \alpha is the angular acceleration of the grindstone. Using the formula of rotational kinematics as :

\alpha =\dfrac{\omega_f-\omega_i}{t}

\alpha =\dfrac{0-62.83}{10}

\alpha =-6.283\ rad/s^2

Let \theta is the number of revolutions of the grindstone after the power is shut off. Now using the third equation of rotational kinematics as :

\omega_f^2-\omega_i^2=2\alpha \theta

\theta=\dfrac{\omega_f^2-\omega_i^2}{2\alpha }

\theta=\dfrac{-62.83^2}{2\times -6.283}

\theta=314.15\ radian

\theta=49.99\ revolution

or

\theta=50\ revolution

So, the number of revolutions of the grindstone after the power is shut off is 50.

7 0
3 years ago
The graph represents the change in that occurs when food is cooked over a charcoal grill. Which statement correctly explains the
MArishka [77]

<u>O</u><u>p</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>C</u><u> </u><u>i</u><u>s</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>a</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u>

<h3 /><h3><em>S</em><em>m</em><em>a</em><em>l</em><em>l</em><em> </em><em>Explanation</em><em>:</em><em>-</em></h3>

The reactants are charcoal that is unlit + oxygen and the products are the burnt charcoal + energy.

(Explanation with formula and reason attached. Check it.)

> Benjemin360

6 0
3 years ago
Suppose that in a lightning flash the potential difference between a cloud and the ground is 1.0*109 V and the quantity of charg
nata0808 [166]

Answer:

a) U_{e} = 3 \times 10^{10}\,J, b) v \approx 7745.967\,\frac{m}{s}

Explanation:

a) The potential energy is:

U_{e} = Q \cdot \Delta V

U_{e} = (30\,C)\cdot (1.0\times 10^{9}\,V)

U_{e} = 3 \times 10^{10}\,J

b) Maximum final speed:

U_{e} = \frac{1}{2}\cdot m \cdot v^{2}\\v = \sqrt{\frac{2\cdot U_{e}}{m} }

The final speed is:

v=\sqrt{\frac{2\cdot (3 \times 10^{10}\,J)}{1000\,kg} }

v \approx 7745.967\,\frac{m}{s}

3 0
3 years ago
A 24.7-g bullet is fired from a rifle. It takes 2.73 × 10-3 s for the bullet to travel the length of the barrel, and it exits th
Gala2k [10]

Answer:

F_a_v_g=7093333.33N*s

Explanation:

The impulse or average force in classical mechanics is the variation in the linear momentum that a physical object experiences in a closed system. It is defined by the following equation:

F_a_v_g=m*\frac{\Delta v}{\Delta t}=m*\frac{v_2-v_1}{t_2-t_1}

Where:

m=mass\hspace{3}of\hspace{3}the\hspace{3}object

v_2=final\hspace{3}velocity\hspace{3}of\hspace{3}the\hspace{3}object\hspace{3}at\hspace{3}the\hspace{3}end\hspace{3}of\hspace{3}the\hspace{3}time\hspace{3}interval

v_1=initial\hspace{3}velocity\hspace{3}of\hspace{3}the\hspace{3}object\hspace{3}when\hspace{3}the\hspace{3}time\hspace{3}interval\hspace{3}begins.

t_2=final\hspace{3}time

t_1=initial\hspace{3}time

Asumming v1=0 and t1=0:

F_a_v_g=m* \frac{v_2}{t_2} =(24.7)*\frac{784}{2.73*10^{*3} } =7093333.333N*s

8 0
3 years ago
Other questions:
  • How can an element be identified using its emission spectrum?
    10·1 answer
  • You are driving at the speed of 27.7 m/s (61.9764 mph) when suddenly the car in front of you (previously traveling at the same s
    8·2 answers
  • Why are L waves not usually seen on a seisogram?
    5·1 answer
  • Why don’t we feel the gravitational pull of objects around us?
    14·1 answer
  • The relative hardness of a mineral can best be tested by
    7·1 answer
  • The energy that generates wind comes from what source?
    8·1 answer
  • Using these words explain how matter and energy interact when waves are generated. Disturbance _________________________________
    10·1 answer
  • What other types of energy are present when turning a generator that were not mention in question ? Explain where in the process
    7·1 answer
  • If a ray hits a plane mirror at 45 degrees, what angle will it bounce off at?
    9·1 answer
  • three small balls each of mass 13.3g are suspended separately from a common point by silk threads, each 1.17m long. The balls ar
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!