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
MissTica
3 years ago
12

The two vectors and in fig. 3-28 have equal magnitudes of 10.0 m and the angles are 30° and 105°. find the (a) x and (b) y compo

nents of their vector sum , (c) the magnitude of , and (d) the angle makes with the positive direction of the x axis.
Physics
1 answer:
mylen [45]3 years ago
6 0

You can just use basic trigonometry to solve for the x & y components.

<span>vector a = 10cos(30) i + 10sin(30) j = <5sqrt(3), 5></span>

vector b is only slightly harder because the angle is relative to vector a, and not the positive x-axis. Anyway, this just makes vector b with an angle of 135deg to the positive x-axis.

<span>vector b = 10cos(135) i + 10sin(135) j = <-5sqrt(2), 5sqrt(2)></span>

So now we can do the questions:

r = a + b

r = <5sqrt(3)-5sqrt(2), 5+5sqrt(2)>

(a) 5sqrt(3)-5sqrt(2)

(b) 5+5sqrt(2)

(c)

|r| = sqrt( (5sqrt(3)-5sqrt(2))2 + (5+5sqrt(2))2 )

= 12.175

(d)

θ = tan-1 ( (5+5sqrt(2)) / (5sqrt(3)-5sqrt(2)) )

θ = 82.5deg

<span> </span>

You might be interested in
A car is moving South at a constant speed of 60 miles per hour. The force of the
Anastaziya [24]

Answer: 750 N

Explanation:

The net force is 1200 - 450 = 750 N

As we are told the speed is constant, then this force must be increasing the car's potential energy by climbing a hill.

F = mgsinθ

If we knew the car mass, we could find the hill slope angle.

If we knew the hill slope angle, we could find the car mass.

6 0
3 years ago
A string is stretched between a fixed support and a pulley a distance 111 cm apart. The tension on the string is controlled by a
kvv77 [185]

Answer:

88.8 m/s= Speed of wave propagation in the required mode.(3 loops)

Explanation:

When there are 3 loops.  

the total length = L = 3 λ /2

⇒ λ  = 2 L / 3 = 2 ( 1.11 ) / 3 = 0.74 m

Velocity = v = f λ = (120)(0.74) = 88.8 m/s

3 0
3 years ago
**URGENT, I WILL PAY 30 POINTS, PLEASE HELP**
melamori03 [73]

All three windows are the same size.

A has 10 complete waves visible through the window. B has 3, and C has 4.

So A must have the smallest wavelengths.

4 0
3 years ago
Read 2 more answers
Use cylindrical coordinates. Evaluate E (x − y) dV, where E is the solid that lies between the cylinders x2 + y2 = 1 and x2 + y2
S_A_V [24]

Answer:hchv nhgjj

Explanation:

ggchh

3 0
3 years ago
according to the theory developed by Charles darwin what process causes organisms to develop traita that help them adapt to chan
Anettt [7]

the answer is natural selection

8 0
3 years ago
Read 2 more answers
Other questions:
  • Is winter eye grass autotrophic
    15·2 answers
  • how to do this A young vandal wishes to hit a truck traveling at a constant speed of 20m/s with a water balloon. If the vandal i
    14·1 answer
  • The age of the solar system is closest to _____ years old.
    5·1 answer
  • A body oscillates with simple harmonic motion accordingto the
    7·1 answer
  • When your food in placed under a warming light in a fast food restaurant, which type of electromagnetic waves are most likely us
    13·2 answers
  • What outside force prevents the planets from moving in a straight line into space
    15·2 answers
  • A car with mass 450 kg has a kinetic energy of 16,256 j. What is the speed of the car?
    13·2 answers
  • If the period of a given wave is 6 seconds, what is the frequency of the wave?
    7·1 answer
  • I AM DDDUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUMMMMMMMMBBB
    9·2 answers
  • Using science terms like force, mass, energy, and inertia, describe how you could get an object to fly a further distance in a c
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!