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
Oxana [17]
3 years ago
10

A 2 kg object is subjected to three forces that give it an acceleration −→a = −(8.00m/s^2)ˆi + (6.00m/s^2)ˆj. If two of the thre

e forces, are −→F1 = (30.0N)ˆi + (16.0N)ˆj and −→F2 = −(12.0N)ˆi + (8.00N)ˆj, find the third force.
Physics
1 answer:
Angelina_Jolie [31]3 years ago
7 0

Answer:

\vec{F_3}=(-34.0N)\hat{i}+(-12.0N)\hat{j}

Explanation:

You have three forces F1, F2 an F3 that produce the following  acceleration:

a = −(8.00m/s^2)ˆi + (6.00m/s^2)ˆj

you know that force F1 and F2 are:

F1 = (30.0N)ˆi + (16.0N)ˆj

F2 = −(12.0N)ˆi + (8.00N)ˆj

and the force F3 is unknown:

F3 = F3x ˆi + F3y ˆj

The second Newton law is given by the following equation:

\vec{F}=m\vec{a}

F: the total force = F1 +F2 + F3

m: mass of the object = 2 kg

By the properties of vectors you have:

\vec{F_1}+\vec{F_2}+\vec{F_3}=m\vec{a}\\\\(30.0-12.0+F_{3x})N\hat{i}+(16.0+8.00+F_{3y})N\hat{j}=(2.0kg)[(-8.00m/s^2)\hat{i}+(6.00m/s^2)\hat{j}]\\\\(18.0+F_{3x})N\hat{i}+(24.0+F_{3y})\hat{j}=(-16.00N)\hat{i}+(12.0N)\hat{j}

Both x and y component must be equal in the previous equality, then you have:

18.0N+F_{3x}=-16.00N\\\\F_{3x}=-34.00N\\\\24.0N+F_{3y}=12.0N\\\\F_{3y}=-12.00N

Hence, the vector F3 is:

\vec{F_3}=(-34.0N)\hat{i}+(-12.0N)\hat{j}

You might be interested in
Which of the statements below describes how a motor operates
uranmaximum [27]

Answer:

need Read this excerpt from "Not a Dove, But No Longer a Hawk."

Despite these misgivings, I do not see how we can do anything but continue to prosecute the war. We can and should limit the violence and the suffering being inflicted on the civilians as much as possible, but for whatever reasons, successive Administrations in Washington have carried the commitment in Vietnam to the point where it would be very difficult to prevent any precipitate retreat from degenerating into a rout. If the United States were to disengage from Vietnam under adverse conditions, I believe that the resulting political and psychological shockwaves might undermine our entire position in Southeast Asia.

Which statement best describes the paradox in this excerpt?

The author acknowledges that civilians should not suffer, but states that the civilians must retreat.

The author suggests that the administrators in Washington are busy making policies while overlooking the need to end the war.

The author acknowledges that the violence should stop, but admits that a retreat might have dire consequences.

The author suggests that the Vietnamese people are counting on US support, though their political ideals are not democratic.

Explanation:

7 0
3 years ago
Which of the following is an example of deposition?
Murrr4er [49]
 B would be the correct answer 
4 0
3 years ago
The orientation of which of the following does not influence the phases of the moon? a. Earth c. Sun b. the moon d. Stars Please
beks73 [17]
I'm pretty sure it's D. The stars don't influence the moon's phases.
6 0
3 years ago
If you are reading this please help ASAP !!!!!
NISA [10]

Answer:

ok

Explanation:

5 0
3 years ago
What kind of error duo you think is used in the side-view mirror of cars?
tatyana61 [14]

Answer:

<em><u>Here's a list of the 10 most common mistakes </u></em>we humans make when operating an automobile.

Crossing Lanes While Turning.

Using Your Daylights At Night. ...

Bad Seating Position. ...

Riding The Brakes. ...

Leaving Your High Beams On. ...

Not Using Your Turn Signal. ...

Driving Slowly In The Passing Lane. ...

Not Adjusting The Mirrors Properly. ...

6 0
2 years ago
Other questions:
  • Discuss what in particular makes the light bulb a non-ohmic resistor. Specifically, how does temperature affect resistance? Can
    8·1 answer
  • A turntable rotates with a constant 1.85 rad/s2 clockwise angular acceleration. After 4.00 s it has rotated through a clockwise
    6·2 answers
  • You’ll get 100 points for answering this quick question
    15·2 answers
  • Consider two metallic rods mounted on insulated supports. One is neutral, another positively charged. The charged rod is brought
    13·1 answer
  • A car travels a distance of 100 km in 2 hours. what is the average speed of the car (km/h)?
    11·2 answers
  • Jack is falling down the hill at a speed of 12 m/s. If Jack has a mass of 45 kg, what is his kinetic energy?
    15·1 answer
  • True or false: The speed of the object graphed is determined by the slope.
    5·2 answers
  • Kinds of solar power stations
    13·1 answer
  • A machine raised a load of 360N through a distance of 0.2m. The effort, a force of 50N moved 1.8m during the process. Calculate
    7·1 answer
  • 8th grade science help help
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!