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
Gala2k [10]
3 years ago
13

Consider three vectors A⃗ ,B⃗ and C⃗ all lying in the xy plane. Vector A⃗ has length 6.2 and makes an angle of 131 degrees with

the x-axis. Vector B⃗ has length 7.3 and makes an angle of 32 degrees with the x-axis. The vector D⃗ =A⃗ +B⃗ +C⃗ has x-component DX = 3.1 and y-component DY = 6.7 .A) Find the magnitude of the vector C⃗ .B) Find the angle in degrees that vector C⃗ makes measured counterclockwise from the x-axis.
Physics
1 answer:
vagabundo [1.1K]3 years ago
8 0

Answer:

A) 2.09

B) -62.09°

Explanation:

If D = A+B+C  then C = D - A - B

Converting both A and B to rectangular coordinates, we get:

A = [-4.07 , 4.68]    and    B = [6.19 , 3.87]

Replacing these values we can get the x and y components of C:

C = [0.98 , -1.85]

Its module is:

|C| = \sqrt{0.98^2+(-1.85)^2}=2.09

Its angle is:

\alpha _c = atan(-1.85/0.98) = -62.09\°

You might be interested in
Say I have a series circuit with 20v and four 65 ohm resistors, what is the current in each resistor?
Komok [63]
Data:

E = 20 V
R_{1} = 65\Omega
R_{2} = 65\Omega
R_{3} = 65\Omega
R_{4} = 65\Omega

<span>Now that we have all the values ​​we need properly identified, simply calculate the equivalent total resistance of the circuit and the intensity of the total electric current using the Ohm's Law:

</span>R_{T} =  R_{1} + R_{2} + R_{3} + R_{4}
R_{T} = 65 + 65 + 65+ 65
R_{T} = 260\Omega

<span>Like this:
</span>
I_{T} =  \frac{E}{ R_{T} }

I_{T} = \frac{20}{ 260 }
I_{T} = 0,076923076...

\boxed{\boxed{I_{T} \approx 0,07A}} 
Answer:
<span>The intensity of the total electric current 
</span>\boxed{\boxed{I_{T} \approx 0,07A}} 

P.S:. Since the association is in series, the current of 0.07A is the same for all resistors.
4 0
3 years ago
Koala bears can eat only certain kinds of Australian eucalyptus leaves. Koalas are considered _____.
murzikaleks [220]
They are marsupials that are considered "specialist eaters" since they only eat a certain type of leaf. While generalist feeders aren't as picky as the koala bears. I hope this helps!
3 0
3 years ago
Read 2 more answers
Consider a hot-air balloon. The deflated balloon, gondola, and two passengers have a combined mass of 315 kg. When inflated, the
vladimir2022 [97]

This will help you.

3 0
3 years ago
According to Newton's second law of motion what is force equal to
lubasha [3.4K]
Newton's second law of motion<span> can be formally stated as follows: The acceleration of an object as produced by a net </span>force<span> is directly proportional to the magnitude of the net </span>force, in the same direction as the netforce<span>, and inversely proportional to the mass of the object</span>
8 0
3 years ago
Read 2 more answers
Turning on a flashlight is what type of energy to what type of energy
MissTica
Turning on a flashlight uses a battery, right? Chemical energy is stored in that battery. If you use the battery, you're converting that chemical energy to an electrical energy.

In a flashlight then, the electrical energy becomes light energy and thermal energy in the bulb. Why light and thermal? The flashlight gives us light and then, gives out heat. This is why when we touch light bulbs, it feels hot.

I hope you find this answer the most helpful! :)
8 0
3 years ago
Other questions:
  • 1.) What causes ocean tides
    8·2 answers
  • In a nuclear power plant, the nuclear reaction is kept from going critical by keeping the rate of reaction safe. How do the cont
    5·2 answers
  • Children's immune systems are very active and excludes them from being a high risk to foodbourne illness.
    6·1 answer
  • How many visible stars does How many visible stars Taurus “the bull” have
    10·1 answer
  • Which is a true statement regarding the law of mass balance? A.Solids, gases, and liquids have their own specific equations for
    7·1 answer
  • Wave motion is characterized by two velocities: the velocity with which the wave moves in the medium (e.g., air or a string) and
    12·1 answer
  • All of the following are qualities of a certain program except:
    14·1 answer
  • A car moving in the positive direction with an initial velocity of 26 m/s slows down at a constant rate of -3 m/s2. What is its
    13·1 answer
  • Which statement best defines why sound waves are mechanical waves?
    8·2 answers
  • Una barra de aluminio que esta a 78 GRADOS CENTIGRADOS entra en contacto con una barra de cobre de la misma longitud y área que
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!