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
1. Faça as transformações:
zhannawk [14.2K]

Answer:

seconds (s) = hours (h) *3,600 ; h = \frac{s}{3,600} \\g = kg * 1,000; kg = \frac{g}{1,000} \\cm = \frac{m}{100};m = cm * 100

1. a) 0.5 h = 1,800 s

  h) 20 cm = 0.2 m

  b) 2.0 h = 7,200 s

   i) 5.0 kg = 5,000 g

  c) 3.5 h = 12,600 s

  j) 1.5 kg = 1,500 g

  d) 1/4 h = 900 s

  k) 450.0 g = 0.45 kg

  e) 3.0 m = 300 cm

   l) 20.0 g = 0.02 kg

  f) 2.5 m = 250 cm

  m) 500.0 g = 0.5 kg

   g) 0.5 m = 500 mm

   n) 1000.0 g = 1 kg

3 0
2 years ago
Convert 22°c to fahrenheit
posledela
The answer is:
71.6 <span>°F</span>
7 0
3 years ago
Read 2 more answers
Mercury is the 80th position in the periodic table how many protons does it have
snow_lady [41]
Errrrr, it has 80.




80 is the correct answer
4 0
3 years ago
Read 2 more answers
A 2.0kg mass is attached to a horizontal spring having a spring constant of 0.05Nm.
Alex Ar [27]

Good.  You can do some very interesting experiments with that equipment.

3 0
3 years ago
When a space shuttle takes off, the chemical reactions of the fuel give the shuttle the kinetic energy to leave Earth's atmosphe
inessss [21]

Answer:a

Explanation:

Because its has to use tihs potential energy to overcome the atmosphere so the shuttle will not go back down

6 0
2 years ago
Other questions:
  • A(n) __________ exhibits sedimentary layers that are parallel to each other above and below an erosive surface.
    13·1 answer
  • Astronomers initially had difficulty identifying the emission lines in quasar spectra at optical wavelengths because
    8·1 answer
  • Why cant you feel the force attraction between mars
    11·1 answer
  • Gold has a density of 19.32 g/cm3. what is the volume of a sample of gold with a mass of 27.63 grams?
    13·1 answer
  • Explain why a law is accepted as facr, but a theory is not​
    9·1 answer
  • What is the potential energy of a 3 kg- ball that is on the ground?
    7·1 answer
  • What will most likely happen if a sound wave moves from the air through a solid?
    12·2 answers
  • Radio waves travel at a speed of 300,000,000 m/s.
    8·1 answer
  • Please Help! If you dont know the answers please dont answer! i will give you brrainlist! if you complete correctly!
    14·1 answer
  • A honeybee is in flight between a flower and its hive. Which of the following statements is true?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!