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
creativ13 [48]
3 years ago
15

A vector has a magnitude of 46.0 m and points in a direction 20.0° below the positive x-axis. A second vector, , has a magnitude

of 86.0 m and points in a direction 42.0° above the negative x-axis. a) Sketch the vectors A⃗ , B⃗ , and C⃗=A⃗+B⃗ .
b) Using the component method of vector addition, find the magnitude of the vector C⃗ .
c) Using the component method of vector addition, find the direction of the vector C

Physics
1 answer:
irina1246 [14]3 years ago
6 0

Answer with Step-by -step explanation:

We are given that

b.\mid A\mid=46 m

\theta=20^{\circ} below the positive x-axis

Therefore, the angle made by vector A in counter clockwise direction when measure from positive x-axis=x=360-20=340^{\circ}

x-component of vector A=A_x=\mid A\mid cosx=46cos 340=46\times 0.94=43.24

y-Component of vector A=A_y=\mid A\mid sinx=46sin340=46(-0.34)=-15.64

Magnitude of vector B=86 m

The vector B makes angle with positive x- axis=x'=42^{\circ}

x-component of vector B=B_x=86cos42=63.64

y-Component of vector B=B_y=86sin42=57.62

Vector A=A_xi+A_yj=43.24i-15.64j

Vector B=B_xi+B_yj=63.64i+57.62j

Vector C=A+B

Substitute the values

C=43.24i-15.64j+63.64i+57.62j

C=106.88i+41.98j

c.Direction=\theta=tan^{-1}(\frac{y}{x})=tan^{-1}(\frac{41.98}{106.88})=21.5^{\circ}

The direction of the vector C=21.5 degree

You might be interested in
What is an example of a wave that is not mechanical and how is it different?
vovikov84 [41]

Answer:

light is an example of a wave that is not mechanical .

it is different as it does not need material medium for its propagation

5 0
3 years ago
Who ever answers Frist get marked the Brainly Est
natka813 [3]

Answer:

Explanation:

It would actually be A. 30 , as each hour of ascension (i am not sure about the correct terminology) equals 15 .

3 0
2 years ago
Read 2 more answers
Give two differences between Mass and weight​
nydimaria [60]

Answer:

my opi

Explanation:

Mass is like the inside of the weight. weight is just home much it weighs

8 0
3 years ago
As a solid element melts, the atoms become __________ and they have __________ attraction for one another. more separated, more
galina1969 [7]
The complete statement is 

As a solid element melts, the atoms become more separated and they have less attraction for one another. 

Let me explain to you how this happens. In solid phase. Its molecules are arranged in a very compact manner that is why it takes a definite shape and volume. When it is heated, the kinetic energy of the molecules increases. This is characterized by more frequent collisions. The rise in temperature causes the molecules to move rapidly by vibrating. When it reaches an amount of energy that causes the solid to change phase, this is called the latent energy. The molecules break their form and move farther away from each other until it resembles that of a liquid melting. At this point, the molecules would have lesser attraction because of the distance between them.
8 0
3 years ago
Which term is defined as the change in the direction of light when it goes from one medium into a different medium?
Vaselesa [24]
Refraction is the term  

8 0
3 years ago
Other questions:
  • What best explain the cirulation system within mammals
    13·2 answers
  • This is due by 11:59 PM tonight.
    5·1 answer
  • A car accelerates at 3 m/s*2. Assuming the car starts from rest, how much time does it need to
    10·2 answers
  • Which statement defines an ore? Rock broken down to become part of the topsoil. Rock dug out from the earth to use in constructi
    15·2 answers
  • A circuit contains nine 250-watt lamps connected in parallel across a 120-volt circuit. How much power is consumed by the circui
    8·1 answer
  • When net forces are not equal on an object, the object moves in the direction of: A) The lesser force B) It does not move C) The
    12·2 answers
  • What is the newtons 2nd law known as
    14·2 answers
  • Suppose a mad scientist went back in time to the beginning of the solar system and caused the newly formed Mars and Venus to swi
    6·1 answer
  • As the wavelength of electromagnetic radiation increase
    14·1 answer
  • 10. Convert the following:<br> a. 37.4 mL into ML<br> b. 689 km/hr into m/s<br> c. 34.5 m² into mm²
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!