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
Nady [450]
3 years ago
11

Two forces with magnitudes of 100 and 50 pounds act on an object at angles of 50° and 160°, respectively. Find the direction and

magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.
Mathematics
1 answer:
shusha [124]3 years ago
6 0
Forces in direction x:
 
fx1 = 100 * cos (50) = 64.28
 fx2 = 50 * cos (160) = - 46.99
 The resultant is:
 fx = fx1 + fx2 = 17.29

 Forces in direction y:
 
fy1 = 100 * sine (50) = 76.60
 fy2 = 50 * sine (160) = 17.10
 The resultant is:
 fy = fy1 + fy2 = 93.70
 The magnitude of the resulting force is:
 
f = root (fx ^ 2 + fy ^ 2)
 f = root ((17.29) ^ 2 + (93.70) ^ 2)
 f = 95.28
 The angle is:
 
theta = atan (fy / fx)
 theta = atan (93.70 / 17.29)
 theta = 79.55 degrees
 Answer:
 
The direction and magnitude of the resultant force are:
 
f = 95.28 pounds at theta = 79.55 degrees
You might be interested in
Brainliest Answer!!!
AleksandrR [38]
Its fairly straightforward. Since the bottom equation only has one unknown,x, because y=1.3, you can plug y in and solve for x. Once you find the value of x, you then have the value for two variables, x and y, and again have one unknown coefficient a. To solve for the coefficient you just plug in your y value (1.3) and your x value (which can be rounded to 0.42). Using a little bit of algebra, you can then solve for a which should be a=2.108. I am not sure if your teacher wants you to solve it this way but you could also use the elimination method or substitution method that you would of learned when discussing system of equations. But no matter which way you do it, the math follows the rules. Hope this helps. I’d suggest you solve it yourself to double check my work.

To verify my credibility,
I am a Mechanical Engineering major w/ minor in mathematics
7 0
3 years ago
Write 125 as a product of primes. Use index notation when giving your answer.
Mnenie [13.5K]

Answer:

5^3

Step-by-step explanation:

125= 5*25

25=5*5

5 is a prime number and there are 3 of them so the answer in index notation will be 5^3

3 0
3 years ago
All muntiple of 5 is an odd number true proposition?​
Natasha2012 [34]

a of 5 is 2.5 b of 5 is 2.5 although 5+5=10 = 2.5×4 =10 (even) x of 5 is odd and y of 5 is even

Therefore, its false;)

5 0
3 years ago
Write the fraction as a sum of fraction three different ways 7/10
Fynjy0 [20]

Answer:

Step-by-step explanation:j7/10. 7 divided by 10. And .7

4 0
3 years ago
Read 2 more answers
6. Regroup the numbers in the following problems, putting the numbers that add up to 10 or a multiple of 10 in parentheses.
svetoff [14.1K]

Answer:

a) (2+8)+9

b) (3+7)+5+4

c) (4+16)+2

d) (31+9)+4

Step-by-step explanation:

a) 2+9+8

2 and 8 add up to 10, so we regroup them in parentheses

(2+8)+9


b) 3 + 5 + 4 + 7

3 and 7 add up to 10, so we regroup them in parentheses

(3+7)+5+4


c) 4 + 2 + 16

4 and 16 add up to 20 which is a multiple of 10, so we regroup them in parentheses

(4+16)+2


d) 31 + 4 + 9

31 and 9 add up to 40 which is a multiple of 10, so we regroup them in parentheses

(31+9)+4

4 0
3 years ago
Other questions:
  • In how many ways can you receive four cards of the same face value and one card from the other 48 available cards?
    5·1 answer
  • What’s the percent of change?<br> Original: 25<br> New: 18
    9·1 answer
  • 10, 13, 19, 28, 40 repeating patterns
    6·1 answer
  • Which situation would a scatter plot best be used
    10·1 answer
  • Can someone help me i will give brainliest.
    5·1 answer
  • A Furniture sales person sells a couch for $1560. She was it a 2.75% commission on the sale of the couch. How much did you earn
    13·1 answer
  • The sum of twice a number and seven
    7·1 answer
  • What is a hectoliter?<br><br> 1,000 liters<br> 100 grams<br> 1/100 of a liter<br> 100 liters
    5·2 answers
  • What is the measure of angle q°?
    9·1 answer
  • If there are 4 boys and 6 girls write each of the following as a ratio: boys to girls and girls to people.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!