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
Lelu [443]
3 years ago
14

Find the resultant of the following forces: 3.0N east, 4.0N west, and 5.0N in a direction north 60° west.

Physics
1 answer:
zzz [600]3 years ago
7 0

Answer:

5.5 N at 50.8° north of west.

Explanation:

To find the resultant of these forces, we have to resolve each force along the x- and y-direction, then find the components of the resultant force, and then calculate the resultant force.

The three forces are:

F_1=3.0 N (east)

F_2=4.0 N (west)

F_3=5.0 N (at 60° north of west)

Taking east as positive x-direction and north as positive y-direction, the components of the forces along the 2 directions are:

F_{1x}=3.0 N\\F_{1y}=0

F_{2x}=-4.0 N\\F_{2y}=0

F_{3x}=-(5.0)(cos 60^{\circ})=-2.5 N\\F_{3y}=(5.0)(sin 60^{\circ})=4.3 N

Threfore, the components of the resultant force are:

F_x=F_{1x}+F_{2x}+F_{3x}=3.0+(-4.0)+(-2.5)=-3.5 N\\F_y=F_{1y}+F_{2y}+F_{3y}=0+0+4.3=4.3 N

Therefore, the magnitude of the resultant force is

F=\sqrt{F_x^2+F_y^2}=\sqrt{(-3.5)^2+(4.3)^2}=5.5 N

And the direction is:

\theta=tan^{-1}(\frac{F_y}{|F_x|})=tan^{-1}(\frac{4.3}{3.5})=50.8^{\circ}

And since the x-component is negative, it means that this angle is measured as north of west.

You might be interested in
How do I count atoms in science
VashaNatasha [74]

Answer:

The "2" tells us that there are 2 hydrogen atoms in this compound.

Explanation:

6 0
3 years ago
What happens to molecules when their kinetic energy decreases?
Illusion [34]

Answer:

The speed of molecule decreases and temperature also decreases

Explanation:

Kinetic energy of the molecules of a subsance is directly proportional to the temperature of molecule So as the kinetic energy decrease, temperature also decreases. decreses their speed.

6 0
3 years ago
1. A car’s velocity increases from 4.0 m/s to 36 m/s over a 4.0 second time interval. What is its average acceleration?
Finger [1]

Explanation:

36-4/4= 9 m/squared. meter per squared.

acceleration unit is meter per second Square.equation is velocity by time.for average final(36) minus initial(4)

7 0
3 years ago
What distance is covered by an airplane traveling at a velocity of 660 miles per hour in 3.5 hours?
N76 [4]

As per the question, the velocity of the airplane [v] = 660 miles per hour.

The total time taken by airplane [t] = 3.5 hours.

We are asked to determine the total distance travelled by the airplane during that period.

The distance covered [ S] by a body is the product of velocity with the time.

Mathematically distance covered = velocity × total time

                                                      S = v × t

                                                        = 660 miles/hour ×3.5 hours

                                                        = 2310 miles.

Hence, the total distance travelled by the airplane in 3.5 hour is 2310 miles.

4 0
3 years ago
Can you please help me figure out the work for the missing quantities?
marysya [2.9K]

Answer: set up proportions

Explanation:

8 0
3 years ago
Other questions:
  • A reaction that absorbs 49.6 kj from the surroundings in a vessel that undergoes a volume decrease of 1.25 l at a constant 4.00
    8·2 answers
  • The product of the synthesis reaction between sodium and chlorine gas is ?
    15·2 answers
  • What is the photoelectric effect?
    13·2 answers
  • Delete question please
    15·1 answer
  • 85. An object is dropped from a 32 m tall building. How fast willit be going when it strikes the
    15·1 answer
  • How do we know what is inside of Earth ?
    9·1 answer
  • Calculate the momentum for the 5 kg bowling ball moving at 6 m/s.
    14·1 answer
  • Phys-1A Horizontal Practice 2
    6·1 answer
  • A large glass marble is added to the displacement can. 20 3 of water overflows into a beaker, and the displacement can now has a
    11·1 answer
  • A centrifuge in a medical laboratory rotates at an angular speed of 3,400 rev/min. When switched off, it rotates through 52.0 re
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!