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
denpristay [2]
3 years ago
8

Three forces act on a hook. Determine the magnitude of the resultant of the force.

Mathematics
1 answer:
Novay_Z [31]3 years ago
5 0

Use Hooke's law... (just kidding)

Break down each force vector into horizontal and vertical components.

\vec F_1=(1000\,\mathrm N)(\cos30^\circ\,\vec x+\sin30^\circ\,\vec y)\approx(866.025\,\mathrm N)\,\vec x+(500\,\mathrm N)\,\vec y

\vec F_2=(1500\,\mathrm N)(\cos160^\circ\,\vec x+\sin160^\circ\,\vec y)\approx(-1409.54\,\mathrm N)\,\vec x+(513.03\,\mathrm N)\,\vec y

\vec F_3=(750\,\mathrm N)(\cos195^\circ\,\vec x+\sin195^\circ\,\vec y)\approx(-724.444\,\mathrm N)\,\vec x+(-194.114\,\mathrm N)\,\vec y

The resultant force is the sum of these vectors,

\vec F=\displaystyle\sum_{i=1}^3\vec F_i\approx(-1267.96\,\mathrm N)\,\vec x+(818.916\,\mathrm N)\,\vec y

and has magnitude

|\vec F|\approx\sqrt{(-1267.96\,\mathrm N)^2+(818.916\,\mathrm N)^2}\approx1509.42\,\mathrm N

The closest answer is D.

You might be interested in
2. Addison bought 9 pumpkin pies for $27. How much will she pay for 11 pumpkin pies? Use numbers and words to explain your answe
Olin [163]

Answer:

$33

Step-by-step explanation:

Since 9 pies is 27 dollars that means you have to divide 27 by 9 to find out what 1 pie costs

1 pie ends cause costing $3

now you multiply the cost for 1 pie and 11 so it comes out to be $33

4 0
3 years ago
Read 2 more answers
A rectangular carpet has a perimeter of 274 inches. The length of the carpet is 95 inches more than the width. What are the dime
GrogVix [38]

Answer:

Length: 116

Width: 21

Step-by-step explanation:

Let's say that the width of carpet is x. If the length of the carpet is 95 inches more than the width, then let's say that the width is x + 95.

Since we are solving for the perimeter, you have to multiply the width and the length(x and x + 95) by two.

So,

2x + 2x + 190 = 274.

Simplify this and you get:

4x= 274 - 190

4x = 84

x= 21

So, the width is 21. This means that the length is 21 + 95.

21 + 95 = 116

4 0
3 years ago
WILL GIVE BRAINLIST NO LINKS Ursula has 3 line segments that are the same size. What kind of triangle can she make?
VLD [36.1K]

Answer:

Equilateral triangle

Step-by-step explanation:

Equalateral triangles has 3 60 degre angles, and 3 congruent sides

4 0
3 years ago
Drag and drop each verbal phrase next to the algebraic expression that models it.
Aleksandr-060686 [28]

Answer: first one is : the base salary of an employee and a 9% salary increase; second one is : the price of a winter coat and a 90% discount ; third one is : the number of students attending school last year and a 90% increase from last year ; fourth one is : the cost of groceries and a 9% discount with coupons

Step-by-step explanation:

6 0
3 years ago
Question 1
astra-53 [7]

Answer: 1

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • The body of a person who weighs 50 kilograms consists of 32.5 kilograms of oxygen, 9 kilograms of carbon, 5 kilograms of hydroge
    9·1 answer
  • Just question 4 please. I NEED TO SHOW MY WORK AS TO HOW I GOT THE ANSWER!!!! Stuck someone please help?!!
    8·1 answer
  • Solve the following exponential equation:<br> 4ˣ - 2ˣ⁺¹ - 8 = 0
    14·1 answer
  • Joe has a bag of 3,456 jelly beans. He wants to share the jelly beans equally among himself and his 5 friends. How many jelly be
    13·2 answers
  • Can someone please help me with these two questions?
    8·2 answers
  • 3 pages in 7 minutes or 8 pages in 14 minutes, which is better
    13·2 answers
  • Find the point on the terminal side of θ = three pi divided by four that has a y coordinate of 1. Show your work for full credit
    7·1 answer
  • True/False: All 3 angles of an equilateral triangle measure 60 degrees.<br> True<br> False
    15·2 answers
  • Plss help with this problem!!​
    8·1 answer
  • I need help with this one
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!