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
Agata [3.3K]
2 years ago
7

Using a scale diagram, calculate the resultant force acting on a sailing boat when an easterly wind provides 2, point, 50, k, N,

2.50kN of force, the tide provides 1, point, 20, k, N,1.20kN of force from the direction 30, point, 0, degrees,30.0 ∘ more northerly than the wind. Give your answer to 2 significant figures. Remember that 'an easterly wind' means a wind coming from the East
Physics
1 answer:
EastWind [94]2 years ago
7 0

Answer:

F = 3.6 kN, direction is 9.6º to the North - East

Explanation:

The force is a vector, so one method to find the solution is to work with the components of the vector as scalars and then construct the resulting vector.

Let's use trigonometry to find the component of the forces, let's use a reference frame where the x-axis coincides with the East and the y-axis coincides with the North.

Wind

X axis

          F₁ = 2.50 kN

Tide

         cos 30 = F₂ₓ / F₂

         sin 30 = F_{2y} / F₂

          F₂ₓ = F₂ cos 30

         F_{2y} = F₂ sin 30

         F₂ₓ = 1.20cos 30 = 1.039 kN

         F_{2y} = 1.20 sin 30 = 0.600 kN

the resultant force is

X axis

        Fₓ = F₁ₓ + F₂ₓ

        Fₓ = 2.50 +1.039

        Fₓ = 3,539 kN

        F_y = F_{2y}

        F_y = 0.600

to find the vector we use the Pythagorean theorem

         F = \sqrt{F_x^2 +F_y^2}

         F = \sqrt{ 3.539^2 + 0.600^2 }

         F = 3,589 kN

the address is

         tan θ = F_y / Fₓ

         θ = tan⁻¹ \frac{F_y}{F_x}

         θ = tan⁻¹  \frac{0.6}{3.539}0.6 / 3.539

         θ = 9.6º

the resultant force to two significant figures is

         F = 3.6 kN

the direction is 9.6º to the North - East

You might be interested in
The inner and outer surfaces of a cell membrane carry a negative and positive charge, respectively. Because of these charges, a
BlackZzzverrR [31]

Answer:

E = 8.5 * 10^6 V/m

Explanation:

In general we have the following relation between the Electric Field and the Elecric Potential:

\int\limits^2_1 {\vec{E} \cdot\vec{dl}} = V_{2} -V_{1}

Due to the vector nature of the electric filed, we can only know the mean Electric field E across the membrane, and take it out from the integral, that is:

E = (ΔV)/L

Where L is the thickness of the membrane and ΔV is the potential difference.

Therefore:

E = 8.53933*10^6 V/m

rounding to the first tenth:

E = 8.5 * 10^6 V/m

3 0
3 years ago
Which snack is an excellent choice for protein, B vitamins, vitamin E, and healthful fat
igomit [66]
Fruits and frozen fruit bars is the correct answer.
7 0
3 years ago
Read 2 more answers
Two water balloons of mass 0.75 kg collide and bounce off of each other without breaking. Before the collision, one water balloo
bagirrra123 [75]
By the law of momentum conservation:-
=>m¹u¹ + m²u² = m1v1 + m²v² {let East is +ve}
=>u¹ + u² = v¹ + v² {as m1=m2}
=>3.5 - 2.75 = v1-1.5
<span> =>v¹ = 2.25 m/s (East) </span>
5 0
3 years ago
The muscular system brings what to the body?
kow [346]
The muscular system brings strength and endurance to the body. It helps us perform everyday activities. As well as soaks up water to keep us hydrated longer.
6 0
3 years ago
If the Sun suddenly went dark, we would not know it until its light stopped arriving on Earth. How long would that be, in second
Gre4nikov [31]

Answer: 500 s

Explanation:

Speed v is defined as a relation between the distance d and time t:

v=\frac{d}{t}

Where:

v=3(10)^{8}m/s is the speed of light in vacuum

d=1.5(10)^{11}m is the distance between the Earth and Sun

t is the time it takes to the light to travel the distance d

Isolating t:

t=\frac{d}{v}

t=\frac{1.5(10)^{11}m}{3(10)^{8}m/s}

Finally:

t=500 s

5 0
2 years ago
Other questions:
  • Please help me on 3,4 and 6. <br> Thanks
    7·1 answer
  • A solid 0.7150-kg ball rolls without slipping down a track toward a loop-the-loop of radius r = 0.9150 m. what minimum translati
    13·1 answer
  • Can you answer these questions please
    6·2 answers
  • How do you get 5 minutes to seconds
    5·2 answers
  • Which two ways can light be understood
    5·1 answer
  • 1) How can astronomers determine the chemical composition of stars?
    15·2 answers
  • The type of radiation that will penetrate farthest into a material is
    9·2 answers
  • On what factors capacitance of parallel plate capacitor depends?
    13·1 answer
  • It takes 15 minutes to walk to the mall from your house at an average velocity of 1.1 m/s to the east. What is the displacement
    12·1 answer
  • What is the strength of the electric field in a region where the electric potential is constant?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!