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
I am Lyosha [343]
3 years ago
11

A cube is 4.4 cm on a side, with one corner at the origin. Part 1 (a) What is the unit vector pointing from the origin to the di

agonally opposite corner at location < 4.4, 4.4, 4.4 > cm? (Express your answer in vector form.) r^= < , , > By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor. Attempts: 0 of 10 used Save for later Submit Answer Part 2 (b) What is the angle in degrees from this diagonal to one of the adjacent edges of the cube? °
Physics
1 answer:
Sidana [21]3 years ago
4 0

Answer:

(a) \hat{A} = \frac{\hat{i} + \hat{j} + \hat{k}}{\sqrt{3}}

(b) \theta = 85.44^{\circ}

Solution:

As per the question:

Side of the cube, a = 4.4 cm

Coordinates of the diagonally opposite corner, A = <4.4, 4.4, 4.4> cm

Now,

(a) To calculate the unit vector:

\hat{A} = \frac{\vec{A}}{|A|}

\hat{A} = \frac{4.4\hat{i} + 4.4\hat{j} + 4.4\hat{k}}{\sqrt{()4.4}^{2} + (4.4)^{2} + (4.4)^{2}}

\hat{A} = \frac{4.4(\hat{i} + \hat{j} + \hat{k})}{4.4\sqrt{3}}

\hat{A} = \frac{\hat{i} + \hat{j} + \hat{k}}{\sqrt{3}}

(b) To calculate the angle between the two vectors say A and A' is given by:

\vec{A}\cdot \vec{A'} = \vec{A}\vec{A'}cos\theta                      

\theta = cos^{- 1}(\frac{\vec{A}\cdot \vec{A'}}{\vec{A}\vec{A'}})        (1)

Now,

The coordinates of the diagonally opposite corner, A' is <0, 0, 1> cm

Thus

\vec{A'} = 0\hat{i} + 0\hat{j} + 1\hat{k} = \hat{k}

Now,

Using equation (1) :

\theta = cos^{- 1}(\frac{(\frac{\hat{i} + \hat{j} + \hat{k}}{\sqrt{3}})\cdot \hat{k}}{|A||A'|})

|A||A'| = (\sqrt{4.4^{2} +4.4^{2} + 4.4^{2}})(\sqrt{0^{2} + 0^{2} + 0^{2}}) = 7.261

Thus

\theta = cos^{- 1}(\frac{\frac{1}{\sqrt{3}}}{7.261})

\theta = cos^{- 1}(0.07946) = 85.44^{\circ}

You might be interested in
The Stronger the force that is exerted on an object,the ____ the change in velocity will be.
leonid [27]

osisisksj

#sorryneedpoints

5 0
2 years ago
Read 2 more answers
a car was traveling at 30.0 m/s when a small child darted onto the road 60.0 m away. Reacting instantly the driver slams the bra
Galina-37 [17]
2 seconds,,,,,,,,,,,,,,,,,,,,,,,
5 0
2 years ago
Use the drop-down menus to identify the type of energy each phrase describes.
Tresset [83]

The shortest wavelength of visible light = violet light

Energy that can be felt as heat but not seen = infrared

Short, invisible rays that can cause eye damage = ultraviolet

Visible light with the longest wavelength = red light

Explanation:

Electromagnetic waves are waves consisting of oscillations of the electric and the magnetic field, occurring in a plane perpendicular to the direction of motion the wave.

They are the only type of waves able to travel without a medium, and they are transverse in nature.

All electromagnetic waves travel in a vacuum at the speed of light, which value is:

c=3.0\cdot 10^8 m/s

Electromagnetic waves are classified into 7 different classes, depending on their wavelength/frequency, and they have different properties. From shortest to longest wavelength (and from highest to lowest frequency), they are:

Gamma rays

X rays

Ultraviolet

Visible light

Infrared radiation

Microwaves

Radio waves

Moreover, the visible light of the spectrum is further divided into different colors, according to how our eye perceive them; from shortest to longest wavelength:

violet

blue

green

yellow

orange

red

Therefore, we have:

  • The shortest wavelength of visible light is violet light, which has wavelength between 380 and 450 nm
  • The longest wavelength of visible light is red light, which has wavelenght between 620 and 750 nm
  • Infrared radiation is a type of radiation that is felt as heat by our body, however it cannot be seen because it falls outside the spectrum of visible light
  • Ultraviolet radiation is also invisible to human eye; it has shorter wavelength than visible light and therefore it has more frequency (and more energy), therefore it can cause damage, especially to the eye

Learn more about electromagnetic waves:

brainly.com/question/9184100

brainly.com/question/12450147

#LearnwithBrainly

5 0
3 years ago
Read 2 more answers
There are several ways to model a compound one type of model is shown ?what is the chemical formula for the molecule modeled?
s2008m [1.1K]

The is organic compound with the correct chemical formula C4H9O2.

<h3>What is a model?</h3>

A model is a representation of reality. A model serves the purpose of prediction as well as explanation.

Looking at the model of the molecule we can see that it is the organic compound with the correct chemical formula C4H9O2. The molecule is shown in the image attached to this answer.

Missing parts:

There are several ways to model a compound. One type of model is shown.

What is the chemical formula for the molecule represented by the model?

CHO

C4H9O2

C4H8O

C3H8O2

Learn more about molecular models:brainly.com/question/156574?

#SPJ1

7 0
2 years ago
A charge q moves from point A to point B. The potential energy of the charge at point A is 5.3 _ 10-10 joules and at point is B
stiv31 [10]
The change in electric potential energy will be converted to kinetic energy; thus:
K.E = 5.3 x 10⁻¹⁰ - 3.1 x 10⁻¹⁰
K.E = 2.2 x 10⁻¹⁰ Joules
Option D is correct.
7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the difference between rutherford's model of the atom and bohr's model of the atom
    6·1 answer
  • Discuss how the move over law applies to this is situation and your responsibility as a driver
    14·2 answers
  • At 15°C air is transmitted <br>at 340 m/s. Express this speed<br>in Kilometers per hour.​
    7·2 answers
  • When you step into a very full bath or hot tub, sometimes the water overflows. But when you step into a lake and swim, you don't
    6·1 answer
  • A cat dozes on a stationary merry-go-round, at a radius of 4.4 m from the center of the ride. The operator turns on the ride and
    14·1 answer
  • In which situation will the lowest resistance occur?
    6·2 answers
  • Why can the atmosphere hold on to heat
    12·1 answer
  • A water balloon is thrown horizontally from a tower that is 45 m high. It strikes the shoes of an unsuspecting passerby who is 4
    7·1 answer
  • T or F A red-hot object is hotter than one that is while-hot?
    7·1 answer
  • I’m sorry, but the person you are calling has a voice mailbox that has not been set up yet.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!