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
Art [367]
3 years ago
14

At 2 P.M., ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 25 km/h. How fast i

s the distance between the ships changing at 6 P.M.? (Round your answer to one decimal place.)
Physics
1 answer:
labwork [276]3 years ago
7 0

Answer:

The distance between the ships changing at 6PM is 21.29Km/h

Explanation:

Ship A is sailing east at 35Km/h and ship B is sailing West at 25Km/h

Given

dx/dt= 35

dy/dt= 25

dv/dt= ???? at t= 6PM - 2PM= 4

Therefore t=4

We know ship A travels at 150km in the x-direction and Ship A at t=4 travels at 4.35 Which is 140 also in x-direction

So, we use:

D^2 = (150 - x)^2 + y^2;

D^2 = (150 - 140)^2 + y^2

But ship B travels at t=4, at 4.25 =100 in the y-direction

so, let's use the equation:

D^2 = 10^2 + 100^2

= D= sqrt*(10 + 100)

Lets use 2DD' = 2xx' + 2yy'

Differentiating with respect to t we have:

D•d(D)/dt = -(10)•dx/dt + 100•dy/dt

=100.5 d(D)/dt = (-10)•35 + (100)•25

When t=4, we have x=(140-150) =10 and y=100

= D = sqrt*(10^2 + 100^2)

=100.5

= 100.5 dD/dt = 10.35 +100.25

= dD/dt = 21.29km/h

You might be interested in
Please help, I don't get this
Trava [24]
C the third one i think good luck
5 0
2 years ago
The molecular weight of carbon dioxide (CO2) is 44.00 a.m.u., and the molecular weight of propane gas (C3H8) is 44.10 a.m.u. Thu
Nina [5.8K]

The molecular weight of carbon dioxide (CO2) is 44.00 a.m.u., and the molecular weight of propane gas (C3H8) is 44.10 a.m.u. Thus CO2 diffuses_______ C3H8.

Slower Than

Faster Than

The Same As

Slower than

6 0
3 years ago
Read 2 more answers
You and a friend each carry a 15 kg suitcase up two flights of stairs, walking at a constant speed. Take each suitcase to be the
AlekseyPX

Answer:

Both of you did the same work but you expended more power.

Explanation:              

<em>Work done</em> by an object is calculated by force applied multiplied by the distance.

  W=F*d

From the figure given below let us calculate force applied bith you and yopur friend.

Let us take the stairs in positive x direction,

Work done by you W₁ ,

The force applied Fₓ = F - mgsinθ =maₓ

here aₓ = 0, because both of you move with constant speed

F - mgsinθ = 0

F=  mgsinθ

The work done by you on the suitcase is

W = F L cos0°  ,    where L is he length of the staircase.

W = FL = mgsinθL ,  by substituting value of F

Work done by you is W₁ = mgLsinθ

Similarly work done by your friend is W₂ = mgLsinθ.

Because both of you carry suitcase of same weight and in staircase is in same angle the force applied is same .

Therefore <em>work done by both of you is same</em> . Both of you did equal work.

The power , is defined as amount of energy converted or transfered per second or rate at which work is done .

P =\frac{W}{t} =\frac{FL}{t}

Power spend by you P₁ = mgLsinθ/t

P₁ = 15*9.8*Lsinθ/30

P₁ = 4.9L sinθ  eqn 1

Power spend by your friend is P₂ = mgLsinθ/t

P₂ =15*9.8*Lsinθ/60

P₂ = 2.45Lsinθ    eqn 2

Dividing eqn 1 and eqn 2

P₁ = 2P₂

You have spend more power than your friend .

Hence Both of you did equal work but you spend more power.

7 0
3 years ago
What kind of data would you display in a bar graph
mr_godi [17]
The data from different subjects, you compare the data too
5 0
3 years ago
Use the Divergence Theorem to calculate the surface integral
MrRa [10]
Divergense theorem says flux across the closed surface = ∫∫∫ div F dV 

<span>div F = 3y^2+ 3 z^2 </span>
<span>convert to cylindrical </span>
<span>y = r cos t </span>
<span>z = r sin t </span>
<span>x = x </span>
<span>dx dy dz = r dx dr dt </span>

<span>∫ [0, 2pi]∫[0,3]∫ [-1,3] 3r^3 dx dr dt </span>

<span>2pi(3)(81/4)(4) </span>
<span>486pi
</span>
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
3 0
3 years ago
Other questions:
  • Kate walks up to an automated teller machine and pushes a button. The pressure exerted by her finger is transformed into electri
    11·1 answer
  • Which scenario best describes motion? a toy train in position 4 on a number line a race track that is 100 meters long a ball rol
    12·2 answers
  • A population of mammals leaves an ecosystem because of increased temperatures and decreased rainfall. What’s the reason for this
    7·2 answers
  • Can you get cornered in a round room?
    9·2 answers
  • The energy absorbed or released during a reaction in which a substance is produced is called the
    7·1 answer
  • State Archimedes' principle
    12·1 answer
  • Definition of force equation
    12·1 answer
  • How much time will it take to do 33j of work with 11 w of power
    7·1 answer
  • At our distance from the Sun, the intensity of solar radiation is 1370 W/m^2. The temperature of the Earth is affected by the gr
    14·1 answer
  • the maximum intensity levels of a trumpet, trombone, and a bass drum, each at a distance of 3m are 94 dB, 107dB, and 113dB respe
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!