Two forces whose resultant is 100N are at right angle to eachother. if one of them makes an angle of 30° with the resultant, determine its magnitude​

Answers

Answer 1

Let F₁ and F₂ denote the two forces, and R the resultant force.

F₁ and F₂ point perpendicularly to one another, so their dot product is

F₁ F₂ = 0

We're given that one of these vectors, say F₁, makes an angle with R of 30°, so that

F₁ • R = ||F₁|| ||R|| cos(30°)

But we also have

F₁ • R = F₁ • (F₁ + F₂) = (F₁ F₁) + (F₁ F₂) = F₁ F₁ = ||F₁||²

So, knowing that ||R|| = 100 N, we get that

(100 N) ||F₁|| cos(30°) = ||F₁||²

(100 N) cos(30°) = ||F₁||

||F₁|| ≈ 86.6 N

(And the same would be true for F₂.)


Related Questions

there is a dropping of a coconut of 2kg mass. the speed of the coconut at the moment before it hits the ground is 40m s-1.

calculate the kinetic energy of the coconut at the moment.

Answers

Mass=2kgVelocity=40m/s

We know

[tex]\boxed{\sf K.E=\dfrac{1}{2}mv^2}[/tex]

m denotes to mass v denotes to velocity

[tex]\\ \sf\longmapsto K.E=\dfrac{1}{2}\times 2\times 40^2[/tex]

[tex]\\ \sf\longmapsto K.E=40^2[/tex]

[tex]\\ \sf\longmapsto K.E=1600J[/tex]

A baseball pitcher throws a 0.14 kg ball toward a batter who is 18 m away.
The ball is traveling at 40 m/s when it leaves the pitcher's hand. What is the
ball's kinetic energy at this point?
A. 112 J
OB. 224 J
C. 12J
D. 3 J
SUBMIT

Answers

Answer:

A. 112 J

Explanation:

KE = ½mv² = ½(0.14)40² = 112 J

how long do a Tortoise live in the earth?​

Answers

Answer:

80 to 150 years

Explanation:

hope I helped

Answer: 80-150 years and some over 150 years

Explanation:

There are different types of Tortoise in earth everyone eith different lifespan. So basically normal ones have 80-150 while some other like giant tortoise even have over 150 years.

please click thanks and mark brainliest if you like :)

what will be the gravitational force between two bodies if the mass of each is doubled and the distance between them is halved?

Answers

Answer:

Gravitational force will be 16 times more.

Explanation:

we know;

Gravitational force (F) = (Gm1m2)/d^2

when mass of each is doubled and distance between them is halved;

F= (G2m1×2m2)/(d/2)^2

=(4Gm1m2)/(d^2/4)

=4×4(Gm1m2)/d^2

=16(Gm1m2)/d^2

=16F

2. State Newton's third law of motion.

Answers

Answer:

Action and reaction are equal but act in opposite directions

Answer:

Newton’s third law of motion states that “ for every action there is always an equal and opposite reaction.”

Explanation:

If body A exerts a force on body B, then body B will exert an equal and opposite force on body A. It is also called action reaction force. They have equal magnitude but are opposite in direction.

What the suns mass in scientific notation????

Answers

Explanation:

In scientific notation the Sun's mass is: =1.989 x 10 ^30 kg

Answer:

I think in scientific notation the Sun's mass becomes: M Sun = 1.989 x 10 30 kg. The number above the ten, called the power of ten or exponent, stands for the number of decimal places. If it is positive, as in the mass of the Sun, the decimal places are in front of the decimal point.

I hope this help you!:)

How does a fuse work?
A. A material burns out when current is excessive

B. A material burns out when resistance is excessive

C. A material burns out when voltage is excessive

D. A material acts as a switch to prevent electricity from flowing when voltage is excessive

Answers

Answer:

A. a material burns out when current is excessive

what is the role of the communicator in a dc generator?

A) it keeps the electric current flowing in one direction
B) it keeps the magnetic fields of the permanent magnet steady
C) it causes the magnetic fields of the permanent magnets to reverse
D) it causes the electric current to constantly reverse its direction

Answers

Answer:

C

Explanation:

Answer:

A)

Explanation:

it keeps the electric current flowing in one direction

A 210 Ohm resistor uses 9.28 W of
power. How much current flows
through the resistor?
(Unit = A)

Answers

Resistance=R=210OhmPower=9.28W=P

Current=I

[tex]\boxed{\sf P=I^2R}[/tex]

[tex]\\ \sf\longmapsto I^2=\dfrac{P}{R}[/tex]

[tex]\\ \sf\longmapsto I^2=\dfrac{9.28}{210}[/tex]

[tex]\\ \sf\longmapsto I^2\approx0.04[/tex]

[tex]\\ \sf\longmapsto I\approx\sqrt{0.04}[/tex]

[tex]\\ \sf\longmapsto I\approx\sqrt{\dfrac{4}{100}}[/tex]

[tex]\\ \sf\longmapsto I\approx\dfrac{\sqrt{4}}{\sqrt{100}}[/tex]

[tex]\\ \sf\longmapsto I\approx\dfrac{2}{10}[/tex]

[tex]\\ \sf\longmapsto I\approx0.2A[/tex]

define radiation explain it

Answers

Radiation is energy that comes from a source and travels through space at the speed of light. This energy has an electric field and a magnetic field associated with it, and has wave-like properties. You could also call radiation “electromagnetic waves”.

cdc

The fluid inside the hydraulic jack has a pressure of 30,000 Pa. If the surface of
the piston that is used to lift an object is 0.1 m’in area, how much weight can
the jack lift?​

Answers

Explanation:

p = F /A

F = P×A

F = 30,000 Pa / 0.1 m²

F = 300,000 N

There is no centripetal force if the object moves in a long line. True or False?

Answers

Answer:

true

Explanation:

i think it's true because according to newtons first law of motion an object continues in motion unless compelled by an external force, this external force is known as the centripetal force.

I hope this helps

si t=2h ¿cuál es el valor de N? PORFAVOR AYUDA​

Answers

Answer:

I don't know ur Language????

any person who opens the door he applies​

Answers

Answer:

any person who opens the door he applies pulling force

How does mercury differ from other metals?(1 point)

It does not conduct electricity.
It is not lustrous.
It is not solid under normal conditions.
It does not chemically react with other elements.

Answers

Answer:

It is not solid under normal conditions

Mercury differs from other metals as It is not solid under normal conditions. It is the only metal that is liquid at room temperature, therefore the correct answer is option C

What is the matter?

Anything which has mass and occupies spaces is known as matter, mainly there are four states of matter solid liquid gases, and plasma.

These different states of matter have different characteristics according to which they vary their volume and shape.

Because it is not solid under normal circumstances, mercury is different from other metals. Because it is the only metal that is liquid at room temperature,

Thus the correct answer is option C

Learn more about the matter here

brainly.com/question/9402776

#SPJ2

If the resistance reading on a dmm’s meter face is 22.5 ohms and the range selector switch is set to the R x 100 range what’s the actual measured resistance of the circuit
A.22.5 kohms

B.2.25 mohms

C.2.25 kohms

D.225 ohms

Answers

Answer:

c

Explanation:

how much force is needed to stop a body of mass 10kg​

Answers

Answer:

Force of 100 N will be needed.

Explanation:

[tex]Force, F = m \times g[/tex]

g is acceleration due to gravity

m is the mass

[tex] F = (10 \times 10) \\ F = 100 \: newtons[/tex]

Answer:

The answer is

Explanation:

A force of atleast a 100 N would be needed.....

Hope this helps....

Have a nice day!!!!

what is equal to 1 hector area

Answers

Answer:

Don't Forget To Follow, Brainliest, And Give Me Heart :)

A cricket ball is dropped from a height of 30 m. Calculate the speed of the ball when it hits the ground

Answers

Answer:

0m/s

Explanation:

When the ball hits the ground, it then moves with uniform motion and when an object is in uniform motion, the speed is 0m/s

if vector A=2i+3j-k and vector B=4i+6j-2k. The angle between them will be: a) 0°b)45°c)90°d)60°​

Answers

Notice that

B = 4i + 6j - 2k = 2 (2i + 3j - k) = 2A

so both vectors point in the same direction and the angle between them is (A) .

Why do scientists not use US customary units when reporting their data?

Answers

from britaññica it said time and money. They didn’t have either to switch over from the industrial period and never did. Also from my own person reasoning i think most of the world uses not US customary, so to make stuff more accessible. hope this helps!

In----- theory, the actual wishes that are threatening to the dreamers conscious awareness are disguised

Answers

Answer:

Unconscious wish fulfillment

Explanation:

Unconscious wish fulfillment

(In the unconscious wish fulfillment theory, the actual wishes of the dreamer that are threatening to the dreamer's conscious awareness are disguised.)

Pls help me with this fast. I will mark brainiest

Answers

Answer:

a) 70, 95

b) 95-70= 25cc

c) density= mass/volume

102/25

=4.08g/cc

How does the temperature of a planet determine the states of matter you would observe on that planet?

Answers

Explanation:

the temperature will determine the kinetic energy or degree of freedom of the molecules of matter.

if the temperature is high, the kinetic energy of the molecules increase which may cause a change of state into a gas which has molecules of high kinetic energy. this shows that temperature is a measure of the kinetic energy of the molecules.

why Fossil fuel has been used more in the existing world ?​

Answers

Fossil fuels are found most of the part of the world .It can be found easily by the people.It is free of cost or low cost.Thats why people can find it easily and in low cost.Also it is easy to useSo fossil fuel has been used more in existing world

what happens when a force is applied in the direction of motion of a body​

Answers

Answer:

If the force applied on the object is in the direction of its motion, the speed of the object increases. If the force is applied in the direction opposite to the direction of motion, then it results in a decrease in the speed of the object.

công thức lực đàn hồi

Answers

Answer:

gagaggagagagagooo

Explanation:

gagagagagagagagaoooo

SHOW REFRACTION THROUGH A GLASS SLATE WITH NEAT DIAGRAM
[tex] \: \: \: \: \: \: \: \: \: \: \: I \: need \: answer \: [/tex]

Answers

Refer to the attachment

The rate of chage of displacement is called __________​

Answers

Answer:

Velocity is the rate of change of displacement.

Which of the following is the correct Ohm's law formula?
A. R = I /V

B. I = V /R

C. P = V x I

D. I = R /V

Answers

Answer:

The answer is B .pls don't forget to hit me brainliest tnks

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