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
AysviL [449]
3 years ago
15

Two forces act on a 1250 kg sailboat as it moves through the water with an initial velocity of 11 m/s. The forward force of the

wind exerts 3.90 X 10 3N while the resistive drag force of the water exerts 4.35 X 10 3N. Calculate the velocity of the boat 15 seconds later
Physics
1 answer:
Naddik [55]3 years ago
3 0

Answer:

The velocity of the boat 15 seconds later is 5.6 meters per second.

Explanation:

We assume that sailboat can be modelled as particle, so that we use solely translations equations. It is noticed that the sailboat is move by action of the wind and drag force of the water is opposed to such force, but the last force has a greater magnitude than the first one, meaning that net force is less than zero.

From Newton's Laws we have the following equation of equilibrium for the sailboat:

\Sigma F = F - f = m\cdot a (Eq. 1)

Where:

F - Force from the wind exerted on the sailboat, measured in newtons.

f - Drag force of the water, measured in newtons.

m - Mass of the sailboat, measured in kilograms.

a - Net acceleration of the sailboat, measured in meters per square second.

If we know that F = 3.90\times 10^{3}\,N, f = 4.35\times 10^{3}\,N and m = 1250\,kg, then the net acceleration of the sailboat is:

a = \frac{F-f}{m}

a = \frac{3.90\times 10^{3}\,N-4.35\times 10^{3}\,N}{1250\,kg}

a = -\frac{9}{25}\,\frac{m}{s^{2}}

If sailboat decelerates uniformly, then we can get the final velocity of the boat by using this equation of motion:

v = v_{o}+a\cdot t (Eq. 2)

Where:

v_{o}, v - Initial and final velocities of the sailboat, measured in meters per second.

t - Time, measured in seconds.

If we get that v_{o} = 11\,\frac{m}{s}, a = -\frac{9}{25}\,\frac{m}{s^{2}} and t = 15\,s, then the final velocity of the sailboat is:

v = 11\,\frac{m}{s} +\left(-\frac{9}{25}\,\frac{m}{s^{2}}  \right)\cdot (15\,s)

v = 5.6\,\frac{m}{s}

The velocity of the boat 15 seconds later is 5.6 meters per second.

You might be interested in
A current of 0.2 A flows through a conductor for 5minutes. How much charge would have passed through the conductor?​
Montano1993 [528]

As we know,

electric \:  \: current =  \dfrac{charge}{time}

so, let's solve for charge (q) :

time = 5 minutes = 5 × 60 seconds = 300 seconds.

  • 0.2 =  \dfrac{q}{300}

  • q = 300 \times 0.2

  • q = 60

hence, the charge = 60 coulombs (C)

4 0
2 years ago
What energy is directly dependent upon velocity and mass?
erastova [34]

Answer:

Kinetic energy

Explanation:

3 0
3 years ago
How does the muscular system help humans maintain posture?
leonid [27]
The muscular system<span> is an </span>organ system<span> composed of </span>skeletal<span>, </span>smooth<span> and </span>cardiac muscles<span>. This system allows movement of the body, maintains posture, and circulates blood throughout the body. 
</span>
>Muscles<span> continually align themselves vertically to </span>help maintain posture.
7 0
3 years ago
3 Points
AleksAgata [21]

Answer:

B.C. D. G.

Explanation:

A vector quantity, has both magnitude and direction. A tip to remember is if you can add a direction to it! You wouldnt say 30 pounds north, but you would say 30 mph north.

<em>I hope this helped! Comment if you have any questions! :)</em>

3 0
3 years ago
1. After a rabbit population reaches the carrying capacity of its habitat, what will most likely happen to
kifflom [539]
C) alternately increase and decrease
6 0
2 years ago
Other questions:
  • Explain how the applied force and area which the force acts affect the pressure
    7·1 answer
  • What precautions should be taken on board a vessel during a lightning storm?
    6·2 answers
  • Upward pull of 850 N on a 81.6 kg bale of hay. What is the magnitude of the bales acceleration?
    5·1 answer
  • 16 + 6 - 6x - 4= -7x + 3 + 7​
    14·1 answer
  • The law of reflection states that if the angle of incidence is 38 degrees, the angle of reflection is ___ degrees.
    13·1 answer
  • What was one reason that immigrant came to America in the late 1800
    13·2 answers
  • To understand the formula representing a traveling electromagnetic wave.Light, radiant heat (infrared radiation), X rays, and ra
    12·1 answer
  • The Mariana trench is located in the Pacific Ocean at a depth of about 11 000 m below the surface of the water. The density of s
    9·1 answer
  • the hydrometer with the density of liquid to be 800 kg metre per square is the volume of the submerged part of the hydrometer is
    10·1 answer
  • Please answer my question
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!