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
goblinko [34]
3 years ago
9

two ships leave a port at the same time. The first ship sails on a bearing of 40 degrees at 18 knots and the second at a bearing

of 130 degrees at 26 knots. How far apart are they after 1.5 hours?

Physics
1 answer:
Yuliya22 [10]3 years ago
7 0

Answer:

The distance between the ships is 87.84 km.

Explanation:

Given that,

Angle of first ship= 40°

Speed of first ship = 18 knots

Angle of second ship= 130°

Speed of second ship = 26 knots

We need to calculate the resultant velocity

Using cosine rule

v=\sqrt{v_{1}^2+v_{2}^2-2v_{1}v_{2}\cos\theta}

Put the value into the formula

v=\sqrt{18^2+26^2-2\times18\times26\times\cos90}

v=\sqrt{18^2+26^2}

v=\sqrt{324+676}

v=10\sqrt{10}

We need to calculate the distance between the ships

d =v\times t

Put the value into the formula

d=10\sqrt{10}\times1.5\times1.852

d=87.84\ km

Hence, The distance between the ships is 87.84 km.

You might be interested in
What are two serious condition of the circulatory system?
maria [59]

Answer:

heart failure, heart attack,

Explanation:

heart failure, heart attack,

8 0
2 years ago
Read 2 more answers
Astronomers discover an exoplanet, a planet obriting a star other than the Sun, that has an orbital period of 3.27 Earth years i
Naddik [55]

Answer:

  r = 3.787 10¹¹ m

Explanation:

We can solve this exercise using Newton's second law, where force is the force of universal attraction and centripetal acceleration

    F = ma

    G m M / r² = m a

The centripetal acceleration is given by

    a = v² / r

For the case of an orbit the speed circulates (velocity module is constant), let's use the relationship

    v = d / t

The distance traveled Esla orbits, in a circle the distance is

    d = 2 π r

Time in time to complete the orbit, called period

     v = 2π r / T

Let's replace

    G m M / r² = m a

    G M / r² = (2π r / T)² / r

    G M / r² = 4π² r / T²

    G M T² = 4π² r3

     r = ∛ (G M T² / 4π²)

Let's reduce the magnitudes to the SI system

     T = 3.27 and (365 d / 1 y) (24 h / 1 day) (3600s / 1h)

     T = 1.03 10⁸ s

Let's calculate

      r = ∛[6.67 10⁻¹¹ 3.03 10³⁰ (1.03 10⁸) 2) / 4π²2]

      r = ∛ (21.44 10³⁵ / 39.478)

      r = ∛(0.0543087 10 36)

      r = 0.3787 10¹² m

      r = 3.787 10¹¹ m

7 0
4 years ago
A physicist found that a force of 0.68 N was measured between two charged spheres. The distance between the spheres was 1.0m. Ca
amid [387]
The answer would be  0.40m. you are finding how far the distance is between 10 and 50
3 0
3 years ago
A car starts from rest at a stop light and reaches 20m/s in 3.5s. Determine the acceleration of the car
olga55 [171]

The car accelerated at around ~5.7 m/s

8 0
3 years ago
Can a tank of oxygen gas ever be half empty?
alisha [4.7K]
No. Any amount of gas always expands to completely fill
whatever container it's in.

So, as you take oxygen out of the tank, the pressure of what's
left in the tank certainly becomes less and less, but whatever is
left in the tank always expands and fills the whole tank. 

(And then, eventually, when the pressure inside the tank drops
to equal the pressure outside it (atmospheric pressure), you could
cut off the whole top of the tank and nothing more would come out.)

SCUBA divers regularly talk about having a 'full tank', and 'half a tank',
and maybe a 'quarter tank'.  But that refers to the amount of time that
the tank can still deliver air to them under water.  It's not the amount
of volume inside the tank that's full or empty.  The inside of the tank
is always full. 

Think about it this way:  ==>  There's no way to take half of the air
out of a balloon, leaving it half empty and still inflated. Doesn't happen.
7 0
4 years ago
Read 2 more answers
Other questions:
  • A boy drops a coin down a well that is 225 m deep. How long does it take the coin to hit the bottom of the well? please help
    14·1 answer
  • 2 Consider the same vortex filament as in Problem 5.1. Consider also a straight line through the center of the loop, perpendicul
    8·1 answer
  • Help pleasssse it is the subject science 50 points for answering
    10·2 answers
  • A bag of sugar weighs 1.50 lb on earth. what would it weigh in newtons on the moon, where the free-fall acceleration is one-sixt
    11·1 answer
  • Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard deviation of 1.00°C. A ther
    5·1 answer
  • Summarize renewable energy saves water and creates jobs
    7·1 answer
  • On the modern periodic table, elements are ordered according to what?
    12·1 answer
  • The average speed of molecules of a 0.1 mole nitrogen gas in a container is 5103
    15·1 answer
  • Malika wants to build a toy raft that will float in water. She has a few materials to choose from. She takes a sample of each of
    5·1 answer
  • What evidence exists that an electric current produces a magnetic field, and what
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!