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
RideAnS [48]
3 years ago
6

Three forces act on an object. Two of the forces are at an angle of 100◦to each other and have magnitude 25N and 12N. The third

is perpendicular to the plane of these two forces and has magnitude 4N. Calculate the magnitude of the force that would exactly counterbalance these three forces.
Physics
1 answer:
seraphim [82]3 years ago
6 0

Answer:

F₄ = 29.819 N

Explanation:

Given

F₁ = (- 25*Cos 50° i + 25*Sin 50° j + 0 k) N

F₂ = (12*Cos 50° i + 12*Sin 50° j + 0 k) N

F₃ = (0 i + 0 j + 4 k) N

Then we have

F₁ + F₂ + F₃ + F₄ = 0

⇒   F₄ = - (F₁ + F₂ + F₃)

⇒   F₄ = - ((- 25*Cos 50° i + 25*Sin 50° j) N + (12*Cos 50° i + 12*Sin 50° j) N + (4 k) N) = (13*Cos 50° i - 37*Sin 50° j - 4 k) N

The magnitude of the force will be

F₄ = √((13*Cos 50°)² + (- 37*Sin 50°)² + (- 4)²) N = 29.819 N

You might be interested in
Define 1 joule work ?​
Nina [5.8K]

Explanation:

Force is applied to lift a body against the force of gravity. Example: If an object is lifted to a certain height (h)

4 0
2 years ago
Which object will sink in freshwater, which has a density of 1.0 g/cm3?
Pani-rosa [81]

Answer:

Object 2, which has a density of 1.9 g/cm3, since it has more density than freshwater.

6 0
3 years ago
Read 2 more answers
Friction occurs when the ____ and ____ of two surfaces grind against each other.
monitta

Friction occurs when the surfaces and heat of two surfaces grind against each other.

I think these are the answers

7 0
3 years ago
When is an object moving in uniform circular motion?
Tems11 [23]

Answer: An object undergoing uniform circular motion is moving

Explanation:

4 0
3 years ago
Which term describes the light-sensitive structures found on the retina?
miss Akunina [59]
The answer would be 
C. Rods and Cones 
6 0
3 years ago
Read 2 more answers
Other questions:
  • Susan works 8 hours a day and makes $7.00 per hour. How much money does Susan earn in one week if she
    7·2 answers
  • Use term chloroplast and organelle in a sentence that describes cell function.
    11·1 answer
  • The wavelength of some green light is 530.0 nm. what is the frequency of this green light?
    9·1 answer
  • How do i explain to kids how much water on earth is drinkable?
    7·1 answer
  • How has two dogs go awnser my other qestion first one will get brainly anser
    15·1 answer
  • An object started at
    10·1 answer
  • A spacecraft that renters the earth’s atmosphere drastically slows down. The amount of kinetic energy the spacecraft has as it r
    11·1 answer
  • A moon with a mass of 6.0 x 10 kg orbits about a planet with a mass of 5.0x 10^24 kg. They are 4.0 x 10^8 meters apart What is t
    11·1 answer
  • How are gravity and air resistance the same?
    13·1 answer
  • What is the force applied to an object that has a mass of 200 kg and is accelerated to 40 m/s^2?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!