The diagram shows two forces acting on an object. The forces have magnitudes F1 = 2.7 N and F2 = 0.80 N.
What third force will cause the object to be in equilibrium?
O2.8 Nat 163° counterclockwise from F1
O 1.8 N at 163° counterclockwise fromF1
O2.8 N at 123° counterclockwise from F1
O 3.0 N at 147° counterclockwise from F1

The Diagram Shows Two Forces Acting On An Object. The Forces Have Magnitudes F1 = 2.7 N And F2 = 0.80

Answers

Answer 1

Answer:

2.8 [N] at 163° counterclockwise from F1

Explanation:

To solve this problem we must perform a summation of forces on the X & y axes, these summations of forces must be equal to zero.

ΣFx = 0

- F1 + Fx = 0

- 2.7 + Fx = 0

Fx = 2.7 [N]

ΣFy = 0

- Fy + 0.8 = 0

Fy = 0.8 [N]

Now using the Pythagorean theorem we can calculate the magnitude of the force.

F = √(2.7)² + (0.8)²

F = 2.81 [N]

Now we can determine the angle using the tangent of the angle.

tan (α) = F2/F1

α = tan^-1 (0.8/2.7)

α = 16.5°

The force is in the fourth quadrant, so we need to subtract 180° from the calculated angle.

180 - 16.5 = 163.5°

Therefore the force is going to the 2.8 [N] at 163° counterclockwise from F1


Related Questions

What is the equation for the speed of a wave? Identify each variable.

Answers

Answer:

Wave speed is related to wavelength, frequency, and period by the equation wave speed = frequency x wavelength.

Explanation:

I hope my answer helped <3 Have a nice day

The equation for the speed of the wave is v = λ × f. The speed of a wave depends on wavelength and frequency.

The rate at which a wave moves across a medium is referred to as its speed. It displays the speed at which the wave's disruption or energy spreads. The characteristics of the medium a wave travels through affect its speed.

The equation for the wave's speed (v) for a mechanical wave, such as one moving via a string or a spring, is as follows:

v = λ × f

Here:

v = speed of the wave

λ  = wavelength of the wave

f = frequency of the wave

Hence, the equation for the speed of the wave is v = λ × f. The speed of a wave depends on wavelength and frequency.

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A labourer carries a load of 500N to a distance of 100m
The work done is??​

Answers

Explanation:

Hey there!

Given;

Load = 500N

Distance= 100m

Acceleration due to gravity= 9.8m/s^2.

We know;

Work done = F * d

W = (500*9.8)*100

W= 490000J

Therefore, the work done by the carrier is 490000J.

Hope it helps...

What place on the earth has the highest air pressure? What is it’s elevation and air pressure?

Answers

Answer:

Siberia

Explanation:

The highest sea-level pressure on Earth occurs in Siberia, where the Siberian High often attains a sea-level pressure above 1050 mbar with record highs close to 1085 mbar.

NOTE: mbar = Millibar, the unit of air pressure in the metric system, commonly used in meteorology, equal to 100 pascals, 1,000 dynes per square cm (about 0.0145 pounds per square inch), or slightly less than one-thousandth of a standard atmosphere.

The orbital motion of a deep water wave extends to a depth equal to.

Answers

1/2 the wavelength.......

A 35.0- g bullet strikes a 5.0- kg stationary piece of lumber and embeds itself in the wood. The piece of lumber and the bullet fly off together at 8.6 m/s. What was the speed of the bullet before it struck the lumber? Define the bullet and the wood as a system.

please show work ​, help

Answers

Answer:

1237.17 m/s

Explanation:

Applying the law of conservation of momentum,

m₁v₁ + m₂v₂ = (m₁ + m₂)v0.035v₁ + 0 = 5.035 x 8.60.035v₁ = 43.301v₁ = 43.301/0.035v₁ = 1237.17 m/s

According to Newton’s law inertia what will happen to the ballon when the force of gravity equals the upward force?

Answers

Answer:

It will stop moving.

Four model rockets are launched in a field. The mass of each rocket and the

net force acting on it when it launches are given in the table below.

Rocket

Mass (kg)

Force (N)

1

4. 25

120

2

2

3. 25

120

3

5. 50

120

4

4. 50

120

Which rocket has the highest acceleration?

A. Rocket 3

B. Rocket 1

C. Rocket 4

D. Rocket 2

Answers

In the given four models of rockets, the rocket with the highest acceleration is rocket 2.

Acceleration of the rockets

Acceleration is the rate of change of velocity with time. The acceleration of the rockets can also be determined from Newton's second law of motion with the applied force and mass of each rocket as shown below;

F = ma

where;

F is the applied forcem is the massa is the acceleration

a = F/m

Rocket 1

a = 120/4.25

a = 28.24 m/s²

Rocket 2

a = 120/3.25

a = 36.92 m/s²

Rocket 3

a = 120/5.5

a = 21.82 m/s²

Rocket 4

a = 120/4.5

a = 26.7 m/s²

Thus, the rocket with the highest acceleration is rocket 2.

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Before a diver jumps off of a diving board she has 7500J of Gravitational energy. What is the maximum amount of kinetic energy the diver will have just before she hits the water?

Answers

Answer:

i think it was 7500 j . beacause sometimes we can say that U=K after that thing is near the floor

The maximum amount of kinetic energy the diver will have just before she hits the water will be the same as the gravitational potential energy before take-off. Maximum kinetic energy is also 7500Joules

Gravitational energy is the energy possessed by an object by virtue of its position.

It is expressed according to the formula:

GPE = mgh

m is the mass of the object

g is the acceleration due to gravity

h is the height

If a diver has Gravitational energy of 7500Joules before the diver jumps off, the maximum amount of kinetic energy the diver will have just before she hits the water will be the same as the gravitational potential energy before take-off.

GPE = kinetic energy at the bottom = 7500Joules

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Sofia needs to go to the grocery store. She leaves her house, walks 1 mi north
to the store, buys some bread and fruit, and walks back home. Which of the
following is true of Sofia's trip to the store and back?
O A. The total distance traveled is 1 mi.
O B. The total distance traveled is O mi.
C. The total displacement is O mi.
D. The total displacement is 1 mi north.

Answers

C is true.
A, B, and D aren't.

I have two questions

What is the current of a 24 ohm heating coil in a coffee maker plugged into a 120v outlet.

What voltage will produce 6 amps through a circuit that has 10 ohms of resistance.

plz help

Answers

Current = voltage / resistance = 120 / 24 = 5 Amperes

Voltage = current x resistance = 6 x 10 = 60 Volts

a) The electric current flowing through it is 5 amp.

b) The voltage will produce by an amount of 60 volt.

What is electric current?

A stream of charged particles, such as electrons or ions, travelling through an electrical conductor or a vacuum is known as an electric current. The net rate of electric charge flowing through a surface or into a control volume is how it is calculated.

a) When  a 24 ohm heating coil in a coffee maker plugged into a 120v outlet, electric current flowing trough it = 120 v/24 ohm = 5 amp.

b) When  e 6 amps through a circuit that has 10 ohms of resistance, voltage produced in it = 6 amp × 10 ohm = 60 volt.

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__________ is the process of altering light so that the waves are all oscillating in the same plane.



Polarization

Reflection

Diffraction

Refraction

Answers

Polarization

Polarized sunglasses block the waves in one direction and pass the other plane. Allows us to see objects below the surface of reflected lite coming off water.

What happens to the momentum of an object when velocity is kept the same and the mass is increased?

Answers

momentum = mass x velocity so if velocity is kept same and mass is increased then momentum will increase.

it took 500 newtons of force to push a car 4meters how much work was done?

Answers

Answer:

The answer is 2000 J

Explanation:

The work done by an object can be found by using the formula

workdone = force × distance

From the question we have

workdone = 500 × 4

We have the final answer as

2000 J

Hope this helps you

What is the velocity of a wave with a length of 10 m and frequency of 5hz.

Answers

The velocity of the wave is defined by the product of wavelength and frequency. The velocity of a wave with a length of 10 m and frequency of 5hz will be 50 m/sec.

What is the velocity of the wave?

The velocity of the wave is defined by the product of wavelength and frequency. It is obtained from the formula of the wavelength which is given by;

[tex]\rm \lambda=\frac{v}{f} \\\\ \rm v = \lambda \times f \\\\ \rm v = 10 \times 5 \\\\ \rm v = 50\ m/sec[/tex]

Hence the velocity of a wave with a length of 10 m and frequency of 5hz will be 50 m/sec.

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HELP ME PLEAS AND FASTT
What is the best location for a tidal power plant?

Question 5 options:

A beach.


The ocean.



An inlet or bay.

Answers

I’m pretty sure it’s the ocean

direction of the sum of the two vectors

Answers

Explanation:

V² = Vx² + Vy²

= [ 9.66 cos (0) ]² + [ 12 cos (135) ]²

= 165.31

V = root 165.31 = 12.85

can you please mark my answer brainliest ♥️...

The direction of the sum of vectors A and B is approximately 22.9 degrees north of east.

To find the direction of the sum of vectors A and B, we can use trigonometry to determine the angle with respect to the positive x-axis (east direction). The given vectors A and B have magnitudes and directions as follows:

Vector A: Magnitude = 9.66 m, Direction = East

Vector B: Magnitude = 12.0 m, Direction = Northwest (which is 45 degrees north of west)

To find the resultant vector's direction, we need to add the angles of the two vectors. The angle between the positive x-axis and vector A is 0 degrees (east direction), and the angle between the positive x-axis and vector B is 45 degrees (northwest direction). Therefore, the angle between vector A and the resultant vector is 0 degrees, and the angle between vector B and the resultant vector is 45 degrees.

To find the angle of the resultant vector with respect to the positive x-axis (east direction), we can use the tangent function:

Tan(Angle)= Opposite/Adjacent​ = Magnitude of Vector A/Magnitude of Vector B

Taking the inverse tangent (arctan) of both sides:

Angle = arctan (9.66/12.0)≈22.9 degrees

So, the direction of the sum of vectors A and B is approximately 22.9 degrees north of east.

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A book with a mass of 1 kg is dropped from a height of 3 m. what is the potential energy of the book when it reaches the floor

Answers

Answer:

PE=mgh

 Where; m is the mass

              g is the gravitational force.

               h is the height.  

   the mass is 1kg, the acceleration due to gravity has a constant value of 10ms² . And the height is 3m.

mgh= 1 x 10 x 3 = 30Joules

So the mass is 1 and gravity is 9.8 we will round it up to 10 and so 1 times 10 is 10 multiplied by 3 it’s 30 joules

Please help in my home work.
change 120°F to celsius scale.​

Answers

Answer:

48

Explanation:

I'm not sure if this is right I'm so sorry if its not

given:

120 °F

to find:

120 Fahrenheit as Celsius.

solution:

[tex]c = (f - 32) \times \frac{5}{9} [/tex]

[tex]c = (120 - 32) \times \frac{5}{9} [/tex]

[tex]c = \frac{440}{9} [/tex]

[tex]c = 48.88889 \: degree \: celcius[/tex]

You want the maximum compression of the spring to be 0.31 mm . What must be the force constant of the spring

Answers

Thee force constant can be obtained using the relation, K = F/e

What is Hooke's law?

According to Hooke's law, as long as the elastic limit is not exceeded, the extension is directly proportional to the force applied. In this case, the question is incomplete since the force applied is missing.

Now, from  Hooke's law;

F = Ke

K = F/e

Hence, if we have the force applied, we can conveniently obtain the force constant of the spring.

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Please help me with this I’ll mark you Brainly

The picture is above

Answers

Answer:

D is correct.

The upward force on the ball must be the same at both locations:

F = M a = 0 = F(upwards) - F(downwards)

If the ball is not being accelerated the upward force must equal the downward force on the ball.

For a substance to change from a liquid to a solid, what must happen to its
particles?

Answers

Answer:

The answer is see the person above is correct They must lose enough other kinetic energy so that the attractions between them hold in place has been vibrate

Explanation:Got it correct

For a substance to change from a liquid to a solid, the particles must lose enough of their kinetic energy so that the attractions between them hold in place as they vibrate. Thus, the correct option is C.

What is Kinetic energy?

Kinetic energy is the energy which an object has because of its motion. If we want to accelerate an object, then it is required to apply a certain amount of force. Applying a force requires us to perform work. After work has been done on the object, then the energy has been transferred to the object, and the object will be moving with a new constant speed and no acceleration.

For a substance to change from a liquid to a solid, the particles must lose enough of their kinetic energy so that the attractions between them hold in place as they vibrate.

Therefore, the correct option is C.

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Which of the following objects has the greatest kinetic energy?
à baseball flying through the air at 90 miles per hour
a baseball flying through the air at 45 miles per hour
O a baseball flying through the alr at 20 miles per hour
a baseball sitting on the ground

Answers

Answer:

A. a baseball flying through the air at 90 miles per hour

Explanation:

Kinetic Energy is the energy of mass in motion

One of the world's fastest helicopters, the Westland Lynx, has a top speed of
4.00x 10^2 km/h. If its kinetic energy at this speed is 2.10 x 10^7J what is the helicopter’s mass?

Answers

It’s mass would be 262.5kg

The mass of the helicopter is 3402 kg.

What is kinetic energy?

Kinetic energy is the energy possessed by a body as a result of its motion.

The kinetic energy of a body depends on its mass and velocity as shown below:

[tex]Kinetic\:energy = \frac{1}{2}mass*velocity[/tex]

[tex]mass = \frac{2KE}{{velocity}^{2} }[/tex]

velocity = 4.00x 10^2 km/h = 111.11 m/s

kinetic energy = 2.10 x 10^7J

[tex]mass = \frac{2 \times 2.1 \times {10}^{7} }{{111.11}^{2}} = 3402 \: kg[/tex]

Therefore, the mass of the helicopter is 3402 kg.

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find two rational num between -3 and 2​

Answers

Answer:

1 and -2

Explanation:

Basically rational numbers are numbers that can be expressed as a fraction and 1 can be expressed as 1/1 and -2 can be expressed as -2/1.

Ahab has been sent to the shops by his mother. The shops are 1200 m from his
home. If Ahab can run at an average speed of 6 m/s, how long will it take him
5
to reach the shops?

Answers

Answer:

it will take him 200secs to run to the shops

(btw 200 seconds is 3minutes and 20secs)

Explanation:

distance = speed x time

time = distance / speed

1200 ÷ 6 = 200

time = 200seconds

hope this helps

brainliest please?

x

A girl cycles for 3hrs at a speed of 40 km/h. What distance did she travel?

Answers

Answer:

120 km

Explanation:

Answer:

120 km

Explanation: 3x40= 120 :)

Questions
2.
Rewrite the following quantities using suitable
prefixes

5000 000

Answers

Ans. 5 X 10^6

Explanation:

Here,^ represents 6 times 10 and 5 is multiplied. That is 5000 000.

Hope this helps

Find the magnitude of the sum

Answers

Answer:

8.57 m

Explanation:

To solve the problem, we have to decompose the two vectors along the two directions first:Vector A:- x component: Ax = +9.66 m- y compoment: Ay = 0 (the vector lies along the x-axis)Vector B:- x component: - y component: So now we can find the sum of the two vectors by adding the components along each axis:And the magnitude of the sum is given by Pythagorean theorem:

How do you determine the effect of initial speed on the horizontal distance traveled by a projectile?

Answers

x(t)=voₓ.t = vo cos α.t

the greater the initial speed, the further the distance obtained

The horizontal distance traveled by a projectile (also known as the range of the projectile) is determined by the initial speed of the projectile, as well as other factors such as the angle at which it is launched and the gravitational acceleration acting on it.

What is a projectile?

A projectile is an object that is projected into the air and follows a parabolic path under the influence of gravity. Examples of projectiles include balls thrown or kicked in sports, bullets fired from guns, and rocks or other objects that are thrown or dropped.

To determine the effect of the initial speed on the horizontal distance traveled by a projectile, you can use the following formula:

[tex]Range = (Initial speed)^2 * sin(2 * Launch angle) / gravitational acceleration[/tex]

This formula shows that the range of a projectile is directly proportional to the initial speed of the projectile squared, and is also affected by the launch angle and gravitational acceleration.

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Raymond cattell created the 16pf self-inventory assessment by first taking 4,504 personality traits and removing all of the __________. a. nouns b. homonyms c. synonyms d. antonyms please select the best answer from the choices provided a b c d

Answers

Raymond Cattell created the 16pf self-inventory assessment by first taking 4,504 personality traits and removing all of the synonyms.

What exactly is a synonym?

This is defined as a word or phrase that has a similar meaning to another word or phrase.

By removing synonyms from the personality traits, Raymond Cattell created the 16PF self-inventory assessment.

Hence Raymond Cattell created the 16pf self-inventory assessment by first taking 4,504 personality traits and removing all of the synonyms.

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