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
Anettt [7]
3 years ago
6

A vector A has components Ax = −4.00 m and Ay = 3.50 m. Find the magnitude (in m) and the direction (in degrees counterclockwise

from the +x-axis) of the vector.
Physics
1 answer:
8_murik_8 [283]3 years ago
4 0

Answer:

Part (i) the magnitude of the vector is 5.315 m

Part (ii) the direction of the vector is 138.8⁰

Explanation:

Given;

y-component Ay = 3.50 m

x -component Ax = -4.00 m

Vector representation = (-4i + 3.5j)

Part (i) the magnitude of the vector

Magnitude of the vector = √(-4)² +(3.5)²

Magnitude of the vector = √28.25

                                          = 5.315 m

Part (ii) the direction (in degrees counterclockwise from the +x-axis) of the vector.

If we make a rough sketch of this vector, the direction of this vector lies in second quadrant.

That is; 90 < θ < 180

Let's solve for θ

tan θ = y/x

tan θ = 3.5/-4

tan θ = - 0.875

θ = tan⁻¹ (-0.875)

θ = - 41.2⁰

Since θ lies in the second quadrant,

θ = - 41.2⁰ = 180 - 41.2 = 138.8⁰

The direction of the vector is 138.8⁰

You might be interested in
Mention &amp; reasons why the ability to adapt to change is
s2008m [1.1K]

Answer:

The ability to adapt is important because :

1) It helps in the survival of human beings.

2) It brings more variation to the human kind.

3) It helps the species from getting endangered or extinct.

4) It brings transformation in the adapting kind.

Hope this helps you☺️☺️

5 0
3 years ago
Using a screwdriver to pry off the lid to a paint can is an example of a second class lever.
Serggg [28]
Is this a question? Please provide more information.
8 0
3 years ago
Read 2 more answers
How does beam spreading affect the temperature on earth and the seasons
navik [9.2K]
Get to school and learn boi
8 0
3 years ago
1. An airplane flies 800 kilometers east from Denver to Wichita in one hour. Then the plane flies west back to Denver in the sam
Bumek [7]

B. The velocity of the second flight is negative compared to the speed.

3 0
3 years ago
The maximum pressure most organisms can survive is about 1000 times the atmospheric pressure. Only small, simple organisms such
Schach [20]

Answer:

h = 10000 m

Explanation:

The pressure applied at a depth of the liquid is given by:

P =ρgh

where,

P = Maximum Pressure to Survive = (1000)(Atmospheric Pressure)

P = (1000)(101325 Pa) = 1.01 x 10⁸ Pa

ρ = Density of sea water = 1025 kg/m³

g = 9.8 m/s²

h = maximum depth to survive = ?

Therefore,

1.01 x 10⁸ Pa = (1025 kg/m³)(9.8 m/s²)h

h = (1.01 x 10⁸ Pa)/(1025 kg/m³)(9.8 m/s²)

<u>h = 10000 m</u>

6 0
3 years ago
Other questions:
  • A rubber balloon has become negatively charged from being rubbed with a wool cloth, and the charge is measured as 1.00 × 10−14 C
    13·1 answer
  • 36. Two point charges are separated by 6 cm. The attractive force between them is 20 N. Find the force between them when they ar
    13·1 answer
  • According to the Hooke’s law formula, the force is proportional to what measurement?
    14·2 answers
  • So whats the answer for this question nobody not telling me
    5·2 answers
  • A typical laboratory centrifuge rotates at 3700 rpm . Test tubes have to be placed into a centrifuge very carefully because of t
    9·1 answer
  • To increase the current in a circuit, the BLANK<br> can be increased. HELP ASAP
    11·2 answers
  • A car with speed v and an identical car with speed 2v both travel the same circular section of an unbanked road. If the friction
    7·1 answer
  • Which color of light has a longer wavelength than yellow?
    5·2 answers
  • A 40kg mass is pulled by a horizontal force of 200N, with a constant velocity. What is h^2?
    10·1 answer
  • Velocity is the speed at which an object moves in a specific direction. It's measured in meters per second, minute or hour in a
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!