answer.
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
BlackZzzverrR [31]
2 years ago
6

vector A makes equal angles with x,y and z axis. value of its components (in terms of magnitude of vector A will be?

Physics
2 answers:
kiruha [24]2 years ago
5 0
X^2+y^2+z^2=A^2
But here XY and Z are all equal so
3X^2=A^2
X=A/(sqrt(3))
Each component is the value of a divided by the square root of three. This way if you square then and add them up it equals a squared
djverab [1.8K]2 years ago
5 0

Answer:

All three components are

A_x = \frac{A}{\sqrt3}

A_y = \frac{A}{\sqrt3}

A_z = \frac{A}{\sqrt3}

Explanation:

As we know that sum of all three components of the vector will give us resultant vector

So here we can say that

A^2 = A_x^2 + A_y^2 + A_z^2

since it is given that all three components are of same magnitudes so

A_x = A_y = A_z

now we have

A^2 = 3A_x^2

so we have

A_x = A_y = A_z = \frac{A}{\sqrt3}

You might be interested in
You are at a stop light in your car, stuck behind a red light. Just before the light is supposed to change, a fire engine comes
nikdorinn [45]

Answer:

The frequency of the sound you will hear is 713.85 Hz

Explanation:

Given;

speed of your car, v_s = 85.0 km/h

frequency of the siren, f = 665 Hz

Speed of sound in air, v = 345 m/s

The frequency of the sound you hear, can be calculated as;

f' = f(\frac{v}{v-v_s})

Convert the speed of the car to m/s

85 \ km/h =\frac{85 \ km}{h} (\frac{1000\ m}{1 \ km})(\frac{1 \ h}{3600 \ s} ) = 23.61 \ m/s

f' = f(\frac{v}{v-v_s} )\\\\f' = 665(\frac{345}{345-23.61} )\\\\f' =  665 (1.07346)\\\\f' = 713.85 \ Hz

Therefore, the frequency of the sound you will hear is 713.85 Hz

7 0
2 years ago
A woman who weighs 500 N stands on an 8.0-m-long board that weighs 100 N. The board is supported at each end. The support force
aniked [119]

Answer:

The woman's distance from the right end is 1.6m = (8-6.4)m.

The principles of moments about a point or axis running through a point and summation of forces have been used to calculate the required variable.

Principle of moments: the sun of clockwise moments must be equal to the sun of anticlockwise moments.

Also the sun of upward forces must be equal to the sun of downward forces.

Theses are the conditions for static equilibrium.

Explanation:

The step by step solution can be found in the attachment below.

Thank you for reading this solution and I hope it is helpful to you.

8 0
2 years ago
The operator of a space station observes a space vehicle approaching at a constant speed v. The operator sends a light signal at
GenaCL600 [577]

Answer:

The speed of the light signal as viewed from the observer is c.

Explanation:

Recall the basic postulate of the theory of relativity that the speed of light is the same in ALL inertial frames. Based on this, the speed of light is independent of the motion of the observer.

5 0
2 years ago
Someone plans to float a small, totally absorbing sphere 0.500 m above an isotropic point source of light,so that the upward rad
mote1985 [20]

Answer:

468449163762.0812 W

Explanation:

m = Mass = \rhoV

V = Volume =\dfrac{4}{3}\pi r^3

r = Distance of sphere from isotropic point source of light = 0.5 m

R = Radius of sphere = 2 mm

\rho = Density = 19 g/cm³

c = Speed of light = 3\times 10^8\ m/s

A = Area = \pi R^2

I = Intensity = \dfrac{P}{4\pi r^2}

g = Acceleration due to gravity = 9.81 m/s²

Force due to radiation is given by

F=\dfrac{IA}{c}\\\Rightarrow F=\dfrac{\dfrac{P}{4\pi r^2}{\pi R^2}}{c}\\\Rightarrow F=\dfrac{PR^2}{4r^2c}

According to the question

F=mg\\\Rightarrow \dfrac{PR^2}{4r^2c}=\rho \dfrac{4}{3}\pi R^3g\\\Rightarrow P=\dfrac{16r^2\rho c\pi Rg}{3}\\\Rightarrow P=\dfrac{16\times 0.002\times 19000\times \pi\times 0.5^2\times 9.81\times 3\times 10^8}{3}\\\Rightarrow P=468449163762.0812\ W

The power required of the light source is 468449163762.0812 W

4 0
2 years ago
Suppose you are talking by interplanetary telephone to your friend, who lives on the Moon. He tells you that he has just won a n
Savatey [412]

Answer:

The friend on moon will be richer.

Explanation:

We must calculate the mass of gold won by each person, to tell who is richer. For that purpose we will use the following formula:

W = mg

m = W/g

where,

m = mass of gold

W = weight of gold

g = acceleration due to gravity on that planet

<u>FOR FRIEND ON MOON</u>:

W = 1 N

g = 1.625 m/s²

Therefore,

m = (1 N)/(1.625 m/s²)

m(moon) = 0.6 kg

<u>FOR ME ON EARTH</u>:

W = 1 N

g = 9.8 m/s²

Therefore,

m = (1 N)/(9.8 m/s²)

m(earth) = 0.1 kg

Since, the mass of gold on moon is greater than the mass of moon on earth.

<u>Therefore, the friend on moon will be richer.</u>

7 0
2 years ago
Other questions:
  • a field hockey ball is launched from the ground at an angle to the horizontal. what are the ball's horizontal and vertical accel
    11·1 answer
  • You are waiting to turn left into a small parking lot. a car approaching from the opposite direction has a turn signal on. you s
    14·1 answer
  • Choose the option below that best completes this sentence: when two circuit elements (e.g., light bulbs, resistors, etc.) are in
    7·1 answer
  • The two structural members, one of which is in tension and the other in compression, exert the indicated forces on joint O. Dete
    10·1 answer
  • At a certain location, a gravitational force with a magnitude of 350 newtons acts on a 70.-kilogram astronaut. What is the magni
    6·1 answer
  • Refrigerant 134a enters a compressor with a mass flow rate of 5 kg/s. The working fluid enters the compressor as a saturated vap
    6·1 answer
  • If you are swimming upstream (i.e., against the current), at what speed does your friend on the shore see you moving?
    12·1 answer
  • Calculate the length of a simple pendulum that oscillates with a frequency of 0.4Hz g=10m/s2 , ^=3.142
    12·1 answer
  • An astronaut holds a rock 100m above the surface of Planet XX. The rock is then thrown upward with a speed of 15m/s, as shown in
    11·1 answer
  • A pillow is thrown downward with an initial speed of 6 m/s.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!