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
faust18 [17]
3 years ago
9

a vector has an x-component of 19.5m and a y-component of 28.4m. Find the magnitude and direction of the vector

Physics
1 answer:
Delicious77 [7]3 years ago
3 0

Answer:

magnitude=34.45 m

direction=55.52\°

Explanation:

Assuming the initial point P1 of this vector is at the origin:

P1=(X1,Y1)=(0,0)

And knowing the other point is P2=(X2,Y2)=(19.5,28.4)

We can find the magnitude and direction of this vector, taking into account a vector has a initial and a final point, with an x-component and a y-component.

For the magnitude we will use the formula to calculate the distance d between two points:

d=\sqrt{{(Y2-Y1)}^{2} +{(X2-X1)}^{2}} (1)

d=\sqrt{{(28.4 m - 0 m)}^{2} +{(19.5 m - 0m)}^{2}} (2)

d=\sqrt{1186.81 m^{2}} (3)

d=34.45 m (4) This is the magnitude of the vector

For the direction, which is the measure of the angle the vector makes with a horizontal line, we will use the following formula:

tan \theta=\frac{Y2-Y1}{X2-X1}  (5)

tan \theta=\frac{24.8 m - 0m}{19.5 m - 0m}  (6)

tan \theta=\frac{24.8}{19.5}  (7)

Finding \theta:

\theta= tan^{-1}(\frac{24.8}{19.5})  (8)

\theta= 55.52\°  (9) This is the direction of the vector

You might be interested in
Given a block of glass that is semi-circular, a laser pointer, protractor/ruler, and index card, design your own experiment to o
Charra [1.4K]

Answer:

we go up the ramp there is a point where the beam is reflected inside the block, we carefully step back to the point where the beam is horizontal, we measure this angle which is our critical angle.

Explanation:

To design the experiment of measuring the critical angle, we describe the phenomenon, when the light passes from a medium with a higher refractive index to one with a lower index, it separates from the normal one and the Critical Angle is defined as the Angle for which the refraction occurs at 90º

            n₂ sin θ₂ = n₁ sin 90

           n₁ / n₂ = sin θ₂

As we can see, we have to measure the angle with which the laser touches the exit surface of the glass block.

Design of the experiment:

    We place the glass block on the ramp and at the top we hit the conveyor for half the angle, we climb the block on the ramp and see that the angle of incidence of lightning on the exit face changes, part of the beam comes out of the glass , we see it by dispersion in the particles of dirty in the air; Maybe the conveyor or the laser should be moved slightly so that the beam touches the point of origin on the conveyor.

   

   When we go up the ramp there is a point where the beam is reflected inside the block, we carefully step back to the point where the beam is horizontal, we measure this angle which is our critical angle.

5 0
3 years ago
Read 2 more answers
If we add 50 Joules of thermal energy to a heat engine, and that heat engine does 30 Joules of work, how much thermal energy is
Natalka [10]

Answer:

The correct answer should be

A. 20 Joules

Explanation:

I'm taking the K12 Unit Test: Energy - Part 1 right now

7 0
2 years ago
How are musical instruments grouped?
rosijanka [135]

A and B are equivalent.  That's one way instruments are often grouped. (the "sopranos", the "altos", the "bass")

C is another way instruments are often grouped; (the "woods", the "brass")

D is another way instruments are often grouped; (the "strings", the "percussions")

6 0
3 years ago
Read 2 more answers
Ian walks 2km to his best friends house, the. Walks .5km to the library. Then makes a 2.5 km walk home. The entire walk took 3 h
max2010maxim [7]
1.66 km/h or 1 2/3 km/h
8 0
2 years ago
Read 2 more answers
The density of lead is 30.2g/cm^3.what is the value in kilograms per meter cube?
V125BC [204]
Answer:
11300 kgm3

Hope this helps
3 0
2 years ago
Other questions:
  • Explain the mathematical equation for KVL (The voltage of a circuit through each component in that circuit is proportional to th
    15·1 answer
  • Compare positive and negative feedback mechanisms.
    5·2 answers
  • If you double the pressure on the surface of a can of water, the buoyant force on a stone placed in that water will
    15·1 answer
  • If the sun, Earth and moon are lined up as shown as above, the Earth
    8·1 answer
  • What is the potential energy of a 32 kg child sitting on the floor? Explain.
    15·1 answer
  • Two loudspeakers are placed 1.8 m apart. They play tones of equal frequency. If you stand 3.0 m in front of the speakers, and ex
    15·1 answer
  • Two identical 0.50-kg carts, each 0.10 m long, are at rest on a low-friction track and are connected by a spring that is initial
    8·1 answer
  • is it possible that the philippines can solely rely from geothermal energy? state your opinion why or why not?​
    11·1 answer
  • What molecule determines the characteristics a child will inherit from its parents?
    7·1 answer
  • A small charge q is placed near a large spherical charge Q. The force experienced by both charges is F. The electric eld created
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!