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
mr_godi [17]
2 years ago
10

A sailboat has a mass of 2160 kg and experiences two horizontal forces. One is due to the action of the water on the hull of the

boat and is directed east and has a magnitude of 1990 N. The other is due to the action of the wind on the sails and is directed northeast with a magnitude of 2440 N.
What is the magnitude of the acceleration of the sailboat in m/s2?
What is the direction of the acceleration of the sailboat, expressed as an angle in degrees north of east?
Physics
1 answer:
NARA [144]2 years ago
8 0

Answer:

Magnitude of the acceleration = 1.90 m/s²

Direction of the acceleration = 65.1° (measured counter clockwisely from the +x axis) or 65.1° north of East

Explanation:

The net force is the vector sum of all the forces acting on the sailboat.

One force is due to the action of the water on the hull of the boat and is directed east and has a magnitude of 1990 N; in vector form, F₁ = (1990j) N

The other force is due to the action of the wind on the sails and is directed northeast with a magnitude of 2440 N; in vector form, F₂ = 2440 [(cos 45°)î + (sin 45°)j] N = 1725î + 1725j) N

Net force = F₁ + F₂ = 1990j + (1725î + 1725j) = (1725î + 3715j) N

According to Newton's law, Net force causes acceleration of A body,

Net force = ma

a = (Net force)/m

a = (1725î + 3715j)/2160 = (0.80î + 1.72j) m/s²

Magnitude of acceleration

/a/ = √[(0.8²) + (1.72²)] = 1.90 m/s²

Direction of the acceleration = tan⁻¹ (1.72/0.8) = 65.1°

You might be interested in
The chart shows data for a moving object. A 2-column table with 3 rows. Column 1 is labeled time in seconds with entries 2, 4, 6
Rashid [163]
The object is not accelerating. I think I got this question right
3 0
2 years ago
a baseball is pitched with a speed of 35.0m/s. how long does it take the ball to travel 18.4 m from the pitchers mound to home p
Vlad [161]
Given the speed and the distance, to find time you can use the formula speed is equal to distance over time. From there you can manipulate the equation for time to equal the distance divided by speed. Time is equal to 18.4 meters divided by 35m/s which equals 0.526 seconds.

7 0
3 years ago
Porque deja de funcionar una estufa electrica cuando la electricidad es excesiva??
Brums [2.3K]
<h3>Porque deja de funcionar una estufa electrica cuando la electricidad es excesiva?</h3>

  • Es normal que los quemadores superiores de una estufa eléctrica o una estufa se enciendan y apaguen en configuraciones distintas a Hi. El quemador se encenderá y apagará más de lo normal cuando se utilizan cacerolas que no son planas o que son del tamaño incorrecto para el quemador.

<h2>☆彡Hanna</h2>

#CarryOnLearning

7 0
2 years ago
Read 2 more answers
Describe the energy transformations that occur in a waterfall...
Leno4ka [110]
<span>At the top of the waterfall, the water has potential energy. Once it goes over</span>
5 0
3 years ago
Read 2 more answers
Can someone help me? Idk why I can't understand this
olya-2409 [2.1K]
It's been a while since I've studied this, but my answers would be:

13. 5730 years. The half-life of a substance is the amount of time it takes for half of it to decay, and, according to the graph, half of the substance remained at 5730 years.

14. 10740 years. According to the graph, only 25% of the carbon remained after 10740 years.

15. 15 atoms. According to the graph, only 12.5% of the carbon remained after 16110 years. 12.5% of 120 atoms is 15 atoms.

16. 1600 atoms. According to the graph, if a sample of carbon is 10740 years old, only 25% of it remains. To find the original amount, multiply the current amount by (100% / 25%), which equals 4. So, 4. 400 atoms * 4 = 1600 atoms is the original amount.
5 0
3 years ago
Other questions:
  • If the accuracy in measuring the position of a particle increases, what happens to the accuracy in measuring its velocity? - The
    8·1 answer
  • Describe a technology used in space exploration.
    14·1 answer
  • A weather balloon has a volume of 90.0 l when it is released from sea level. What
    12·1 answer
  • The Milky Way is our Galax. Where are we located in Milky Way?​
    15·1 answer
  • A closed box with square base is to be built to house an ant colony. the bottom of the box and all four sides are to be made of
    13·1 answer
  • Consider a bus traveling to the west (negative x direction) that begins to slow down as it approaches a traffic light. Which sta
    8·1 answer
  • What is the female sex cells of a plant called?<br> Please help! Tysm!
    9·1 answer
  • What is the voltage across resistor #2? (must include unit - V)
    12·1 answer
  • A car of mass 1000 kg is travelling at 10 m/s. What is its kinetic energy?
    5·1 answer
  • Why is it easier to swim in sea than in a pond or river?​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!