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
erik [133]
3 years ago
10

A bird is flying in a room with a velocity field of . Calculate the temperature change that the bird feels after 9 seconds of fl

ight, as it flies through x

Physics
1 answer:
Korvikt [17]3 years ago
5 0

Complete Question

The complete question is shown on the first uploaded image

Answer:

The temperature change is \frac{dT}{dt} = 1.016 ^oC/m

Explanation:

From the question we are told that

   The velocity field with which the bird is flying is  \vec V =  (u, v, w)= 0.6x + 0.2t - 1.4 \ m/s

   The temperature of the room is  T(x, y, u) =  400 -0.4y -0.6z-0.2(5 - x)^2 \  ^o C

    The time considered is  t =  10 \  seconds

    The  distance that the bird flew is  x  =  1 m

 Given that the bird is inside the room then the temperature of the room is equal to the temperature of the bird

Generally the change in the bird temperature with time is mathematically represented as

      \frac{dT}{dt} = -0.4 \frac{dy}{dt} -0.6\frac{dz}{dt} -0.2[2 *  (5-x)] [-\frac{dx}{dt} ]

Here the negative sign in \frac{dx}{dt} is because of the negative sign that is attached to x in the equation

 So

       \frac{dT}{dt} = -0.4v_y  -0.6v_z -0.2[2 *  (5-x)][ -v_x]

From the given equation of velocity field

    v_x  =  0.6x

    v_y  =  0.2t

     v_z  =  -1.4

So

\frac{dT}{dt} = -0.4[0.2t]  -0.6[-1.4] -0.2[2 *  (5-x)][ -[0.6x]]    

substituting the given values of x and t

\frac{dT}{dt} = -0.4[0.2(10)]  -0.6[-1.4] -0.2[2 *  (5-1)][ -[0.61]]      

\frac{dT}{dt} = -0.8 +0.84 + 0.976  

\frac{dT}{dt} = 1.016 ^oC/m  

You might be interested in
What can you infer from the fact that although CFC's have been banned, refrigerators and aerosol cans are still being sold?
oksian1 [2.3K]
It would be "Researchers found environmental safe replacements for CFC's"
3 0
3 years ago
Read 2 more answers
An object is moving with uniform speed in a circle of radius r. Calculate the distance and displacement
dimaraw [331]

Answer and Explanation:

distance will be 2×3.14 (pie)×r

displacement will be 2r (diameter)

the motion is uniform circular motion as the object is moving in a circular path with uniform motion

8 0
2 years ago
Read 2 more answers
which has a greater kinetic energy, a bowling ball that has a mass of 5kg travelling at 6m/s, or a ship that has a mass of 12000
AVprozaik [17]

Answer:bowling ball has greater kinetic energy

Explanation:

Kinetic energy of bowling ball:

mass=m=5kg

Velocity=v=6m/s

Kinetic energy =ke

Ke=0.5 x m x v x v

Ke=0.5 x 5 x 6 x 6

Ke=90J

Kinetic energy of ship:

mass=m=120000kg

velocity=v=0.02m/s

Ke=0.5 x m x v x v

Ke=0.5 x 120000 x 0.02 x 0.02

Ke=24J

6 0
2 years ago
Which best describes friction in the context of newton's laws?
Pie

Answer:

b

Explanation:

friction needs two objects

the two objects need to touch each other

the two objects need to either have relative movement or, tend to have relative movement urge. (kinetic friction or static friction)

5 0
3 years ago
Read 2 more answers
The figure shows five electric charges. Four charges with the magnitude of the charge 2.0 nC form a square with the size a = 4.0
bearhunter [10]

Considering the four electric charges forming a square with magnitude of charge of 2.0 nC on each. :

A) Magnitude of the force on the 5.5 nC charge in the middle of the figure = 3.48 * 10^-4 N

B) Direction of the force on the 5.5 nC charge in the middle of the figure = Leftward ( negative x -axis )

Using the given data :

size of square = 4 cm

magnitudes of four charges = 2.0 nC

<u> a) </u><u>magnitude</u><u> of the force on the center charge </u>

Electric force between two point charges = F = \frac{1}{4\pi *E_{o} } \frac{q1q2}{r^2} ----- ( 1 )

where ; \frac{1}{4\pi E_{o} } = 9 * 10^9 Nm^2/C^2

step 1 ; find r ( distance between charges )

r² = ( 2 )² + ( 2 )² = 8 cm²  

back to equation 1

F = 9 * 10⁹ * \frac{2 * 10^{-9} *  (5.5 * 10^{-9})  }{8*10^{-4} } =  1.23 * 10^-4  N

∴ magnitude of the force on the center charge ( Fnet )= 4F cos 45°

        = 4 * ( 1.23 * 10^-4 ) * \frac{1}{\sqrt{2} }  = 3.48 * 10^-4 N

b) The direction of the force at the center is along the negative x-axis ( leftward )

Learn more : brainly.com/question/24139734

6 0
2 years ago
Other questions:
  • _______ or radioactive substance have a half life.
    6·1 answer
  • A person who is described as intersex is
    8·1 answer
  • There is a balance of heat coming into and going out of earth. This is known as the?
    9·2 answers
  • All of the waves in the electromagnetic spectrum are _______ waves.
    14·2 answers
  • What must be the magnitude of a uniform electric field if it is to have the same energy density as that possessed by a 0.50 T ma
    7·1 answer
  • a camera with a 100mm lens can be used to focus objects from 6pm to infinity onto screen. how much must the lens be moved to foc
    13·1 answer
  • PLS HELP DUE TODAY
    14·1 answer
  • The answer is D can someone please explain why. Question 8 btw
    5·1 answer
  • Magnetism is a type of<br>A. force<br>B. energy<br>C. gravity<br>D. electricity<br>​
    13·2 answers
  • In the process of loading a ship, a shipping container gets dropped into the water and sinks to the bottom of the harbor. Salvag
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!