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
andriy [413]
3 years ago
8

5. The analytical method of adding vectors expressed in terms of their components may be applied to vectors in three dimensions,

for which graphical work is inconvenient. Find the magnitude of the resultant of the vectors A = i12 —j37 + k58 and B = i5 + j30 — k42, where i, j, and k are unit vectors along the x, y, and z axes, respectively
Physics
1 answer:
Gwar [14]3 years ago
6 0

Answer:

C = 17 i^ - 7 j^ + 16 k^ ,   | C| = 24.37

Explanation:

To work the vactor component method, we add the sum in each axis

C = A + B = (Aₓ + Bₓ) i ^ + (A_{y} + B_{y}) i ^ + (A_{z} + B_{z}) k ^

Cₓ = 12+ 5 = 17

C_{y} = -37 +30 = -7

C_{z} = 58 -42 = 16

Resulting vector

C = 17 i ^ - 7j ^ + 16k ^

The mangitude of the vector is

| C | = √ c²

| C | = √( 17² + 7² + 16²)

| C| = 24.37

You might be interested in
A straight segment of a current-carrying wire has a current element IL where I = 2.70 A and L = 3.20 cm i + 4.30 cm j. The segme
myrzilka [38]

The component of the force in negative z-direction is -0.144 N.

The given parameters;

  • <em>current in the wire, I = 2.7 A</em>
  • <em>length of the wire, L = (3.2 i + 4.3j) cm</em>
  • <em>magnetic filed, B = 1.24 i</em>

The force on the segment of the wire is calculated as follows;

F = ILBsin(\theta)

where;

  • <em>θ is the angle wire and magnetic field</em>

<em />

The force on the wire segment will be perpendicular in negative z-direction (applying right hand rule), so there won't be any x and y component of the force.

The angle between the wire and the magnetic field is calculated as follows;

\theta = tan^{-1} (\frac{y}{x} )\\\\\theta = tan^{-1} (\frac{4.3}{3.2} )\\\\\theta = 53.3 \ ^0

The magnitude of the wire length is calculated as follows;

|l | = \sqrt{3.2^2 + 4.3^2} = 5.36 \ cm = 0.0536 \ m

The component of the force in negative z-direction is calculated as;

F_z = -ILB sin(\theta)\\\\F_z = -2.7 \times 0.0536 \times 1.24 \times  sin(53.3)\\\\F_z = -0.144 \ N

Thus, the component of the force in negative z-direction is -0.144 N.

Learn more here:brainly.com/question/22719779

6 0
2 years ago
PLEASE HELP ITS DUE IN 12 MINUTES
GrogVix [38]
A. Bones provide protection for organs in the body
5 0
2 years ago
A large bottle contains a number of medicinal tablets is 0.5kg. Calculate the number of tablets in the bottle?
Alexeev081 [22]

Answer:

the answer is 5k in the bottle have

8 0
3 years ago
With a 900 V source, voltage is divided across 3 series resistors of 300 V, 280 V, and:
telo118 [61]

Answer:

AAAAAAAAaaaaaaaaaaaaaaaaaaaaaaaaaaaa

6 0
2 years ago
A parallel-plate capacitor has square plates that are 8.00cm on each side and 4.20mm apart. The space between the plates is comp
Sergeu [11.5K]

Answer:

U=1.29\times 10^{-7}\ J

Explanation:

Given that

a= 8 cm (square)

A= a ² = 64 cm²

d= 4.2 mm

d₁= 2.1 mm  ,K₁= 4.7

d₂=2.1 mm  , K₂=2.6

We know that capacitance given as

C_1=\dfrac{K_1\varepsilon _oA}{d_1}

C_1=\dfrac{4.7\times 8.85\times 10^{-12}\times 64\times 10^{-4}}{2.1\times 10^{-3}}

C_1=1.26\times 10^{-10}\ F

C_2=\dfrac{K_2\varepsilon _oA}{d_2}

C_2=\dfrac{2.6\times 8.85\times 10^{-12}\times 64\times 10^{-4}}{2.1\times 10^{-3}}

C_2=0.701\times 10^{-10}\ F

Net capacitance

C=\dfrac{C_1C_2}{C_1+C_2}

C=\dfrac{1.26\times 10^{-10}\times 0.701\times 10^{-10}}{1.26\times 10^{-10}+0.701\times 10^{-10}}\ F

C=4.5\times 10^{-11}\ F

We know that stored energy given as

U=\dfrac{CV^2}{2}

V= 76 V

U=\dfrac{4.5\times 10^{-11}\times 76^2}{2}\ J

U=1.29\times 10^{-7}\ J

3 0
2 years ago
Other questions:
  • If the speed of light in air is 3.00 times 10 to the 8 m/s power and the speed of light in water is 2.25 times 10 to the 8 power
    13·1 answer
  • Se lanza hacia abajo un cuerpo de masa 2 kg con una velocidad de 1 m/s
    13·1 answer
  • If we wanted to describe and better understand the structure of the rings of Saturn, we might develop a
    5·1 answer
  • A particle moving with initial velocity of 5m/s is subjected to a uniform acceleration of -2.5 m/s2.find the displacement for ne
    10·1 answer
  • A loop of wire is carrying current of 2 A . The radius of the loop is 0.4 m. What is the magnetic field at a distance 0.09 m alo
    11·1 answer
  • Place a pencil or pen in front of you on the surface that you are working on. In one paragraph, using your own words, describe t
    10·1 answer
  • Miles and Joselin are riding a two person long board down an extremely dangerous hill while Chloe watches in horror and Talia in
    8·1 answer
  • In an open circuit like the picture
    10·1 answer
  • If you use a 1500 watt sound system for 5 hours a day , calculate the amount of electricity used​
    5·1 answer
  • Which part of the scientific method is most likely to lead to changes in a theory? (1 point)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!