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
Slav-nsk [51]
3 years ago
14

- What are (a) the x component, (b) the y component, and (c) the z component of r = a - b +c if a= 7.8 + 6.6 - 7.1 , b= -2.9 + 7

.4 + 3.9 , and c = 7.6 + 8.8 + 2.2 . (d) Calculate the angle between r and the positive z axis. (e) What is the component of along the direction of b? (f) What is the magnitude of the component of a perpendicular to the direction of b but in the plane of a and b?
Physics
1 answer:
frez [133]3 years ago
6 0

Answer:

Explanation:

a= 7.8i + 6.6j - 7.1k

b=   -2.9 i+ 7.4 j+ 3.9k , and

c = 7.6i + 8.8j + 2.2k

r = a - b +c

=7.8i + 6.6j - 7.1k - ( -2.9i + 7.4j+ 3.9k )+ ( 7.6i + 8.8j + 2.2k)

= 7.8i + 6.6j - 7.1k +2.9i - 7.4j- 3.9k )+  7.6i + 8.8j + 2.2k

= 18.3 i +18.3 j - k

the angle between r and the positive z axis.

cosθ = 18.3 / √18.3² +18.3² +1

the angle between r and the positive z axis.

= 18.3 / 25.75

cos θ= .71

45 degree

You might be interested in
One problem with digital data is that it can be vulnerable to hackers.
hoa [83]

Answer: c. A person who gains unauthorized access to digital data

Explanation:

5 0
1 year ago
A 3.00-kg object has a velocity 1 6.00 i ^ 2 2.00 j ^2 m/s. (a) what is its kinetic energy at this moment? (b) what is the net w
tatyana61 [14]
(a) The velocity of the object on the x-axis is 6 m/s, while on the y-axis is 2 m/s, so the magnitude of its velocity is the resultant of the velocities on the two axes:
v= \sqrt{(6.00m/s)^2+(2.00 m/s)^2}=6.32 m/s
And so, the kinetic energy of the object is
K= \frac{1}{2}mv^2= \frac{1}{2}(3.00 kg)(6.32 m/s)^2=60 J

(b) The new velocity is 8.00 m/s on the x-axis and 4.00 m/s on the y-axis, so the magnitude of the new velocity is
v= \sqrt{(8.00 m/s)^2+(4.00 m/s)^2}=8.94 m/s
And so the new kinetic energy is
K= \frac{1}{2}mv^2= \frac{1}{2}(3.00 kg)(8.94 m/s)^2=120 J

So, the work done on the object is the variation of kinetic energy of the object:
W=\Delta K=120 J-60 J=60 J
7 0
2 years ago
Analysis of the relationship between the fuel economy​ (mpg) and engine size​ (liters) for 35 models of cars produces the regres
kvasek [131]

Answer:

Gas mileage is 17.29

Explanation:

Given data:

The total number of the model is 35

The total size of the engine is 5 ltr

The regression model is given as

36.44 - 3.829\times engine\ size

From the information given in question we have

Regression equation is : model- mpg = 36.44 - 3.829\times engine\ size

Therefore for engine capacity of 5 liters;

Gas mileage = 36.44 - 3.829\times 5  = 17.29

Gas mileage is 17.29

8 0
3 years ago
The section of the electromagnetic spectrum that humans can generally see is called _____ light.
Lisa [10]

Answer:

(A) Visible

Explanation:

  • The section of the electromagnetic spectrum that humans can generally see is called visible light.

White light is visible light and the range of visible wavelengths ranges from 400 - 700 nanometers.

8 0
3 years ago
Read 2 more answers
An object moving on a horizontal, frictionless surface makes a glancing collision with another object initially at rest on the s
Eddi Din [679]

Answer:

The correct answer is option 'a' 'The momentum is always conserved while as the kinetic energy may be conserved'

Explanation:

The conservation of momentum is a basic principle in nature which is always valid in an collision between 'n' number of objects if there are no external forces on the system. It is valid for both the cases weather the collision is head on or glancing or weather the object is elastic or inelastic.

The energy is only conserved in a collision that occurs on a friction less surface and the objects are purely elastic. Since in the given question it is mentioned that only the surface is friction less and no information is provided regarding the nature of the objects weather they are elastic or not hence we cannot conclusively come to any conclusion regarding the conservation of kinetic energy as the objects may be inelastic.

3 0
3 years ago
Other questions:
  • Please help ASAP!! I need a good grade on this!!!!
    5·1 answer
  • A beam of light shining from water to air strikes the surface at an angle greater than 48° and produces total internal reflectio
    15·1 answer
  • a technician connects the red lead of a voltmeter to the b+ [output] terminal of an ac generator and the black lead to the batte
    9·1 answer
  • When an earthquake occurs, energy radiates in all directions from its source. the source is also referred to as the ________?
    5·2 answers
  • Answer and mark you as brainliest <br> it's that easy
    7·2 answers
  • The three osicles known as the hammer, anvil and stirrup __________.
    11·1 answer
  • When bacteria get caught in the mucus what actually kills them?
    5·2 answers
  • ou are given three pieces of wire that have different shapes (dimensions). You connect each piece of wire separately to a batter
    15·1 answer
  • Draw a standard VOLLEYBALL COURT to show the correct player’s positioning and rotation by writing the numbers of each player.
    9·1 answer
  • Sample Response: When there is less rainfall, land, which is part of the geosphere, becomes dry. When there is not enough water,
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!