Two forces of 68 pounds and 66 pounds act simultaneously on an object. The angle
between the two forces is 77º. Find the magnitude of the resultant, to the nearest
pound. Find the measure of the angle between the resultant and the smaller force, to
the nearest degree.
Resultant:
Angle:
Submit Answer

Answers

Answer 1

Answer:

Explanation:

Let the x axis lie along the 66 lb force with the force vector tail at the origin.

The 68 lb force would lie along a radial 77° CCW from the x axis

The resultant would have an x and y values of

Fx = 66cos0 + 68cos77 = 81.3 lb

Fy = 66sin0 + 68sin77 = 66.3 lb

F = √(81.3² + 66.3²) = 104.87 = 105 lb

θ = arctan (66.3/81.3) = 39°


Related Questions

A ball is dropped from 8.5 meters above the ground. If it begins at rest, how long does it take to hit the ground?

Answers

Answer:

Explanation:

Givens

d = 8.5 meters

vi = 0

a = 9.81

t = ?

Formula

d = vi * t + 1/2 a t^2

Solution

8.5 = 0 + 1/2 9.81 * t^2       multiply both sides by 2

8.5 = 4.095 t^2                  Divide both sides by 4.095

8.5/4.095 = t^2

1.7329 = t^2                       Take the square root of both sides

t = 1.316

It takes 1.316 seconds to hit the ground.

who sailed the Atlantic from France to explore​

Answers

Answer:

navigator Jacques Cartier

Explanation:

Hello, I wanted an answer from a mathematician. The number 1.04 is closer to the number 1, 2, 1.25 or 1.5.

Answers

1.25 is closer to 1.04

How would data look like for an arrangement with vertical square polarizer​

Answers

Answer:

For two polarizing filters to block out all light passing through them, one filter should be rotated 90 degrees from the other.

hope this helps!

Explanation:

If the light that has been reflected from the wall into the water is observed to be completely polarized, what angle does this beam make with the normal inside the water

Answers

The angle of incidence for a complete polarization of incident ray on water is 53.1⁰.

The given parameters;

refractive index of water, μ = 1.333

The angle of incidence for a complete polarization of incident ray on water is calculated by applying Brewster's law as shown below;

[tex]\mu = tan \ \theta[/tex]

where;

θ is the polarizing angle

The polarizing angle is calculated as;

[tex]\theta = tan^{-1}(1.333)\\\\\theta = 53.1^ 0[/tex]

Thus, the angle of incidence for a complete polarization of incident ray on water is 53.1⁰.

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Answer this one and u give you more points Need this now. This question has two parts. First, answer part A. Then, answer part B. Part A: Which statement best summarizes the theme of the text? O A. Tokyo is the best city in the world. O B. It is a long way from San Francisco to Tokyo 0 C. Sometimes we have to try something new to enjoy it. O D. Many things in Japan are different from what an American is used to. Part B: Which sentence from the text best supports your answer in part A? D A. "It was July, and Todd wanted to hang out with his friends." B. He had never eaten pickled vegetables, but the taste was not bad. C. Due to being awake during the protracted flight, Todd was exhausted and slept well. D. The sushi in San Francisco was not nearly as good.​

Answers

Answer: Part A its C

Part B is B

Explanation:

8. How do you think the biodiversity of a large forest compares to a small forest?

Answers

Answer:

A large forest has more toes than the smaller forest

Explanation:

If the dog barks twice, but the cat doesn't, then it states that I caw can ring 5 times.

What energy transformation occurs when
gasoline burns in an automobile?​

Answers

Answer:

See below:

Explanation:

Hello! I hope you are having a nice day!

There are many forms of energy transformation, the main being:

+ GPE (Gravitational Potential Energy)

+ Chemical Energy

+ Electrical Energy

+ Radiant Energy

+ Kinetic Energy.

+ Mechanical Energy

For this case, the gasoline has to power a motor in most cases to turn the wheels of the automobile, the gasoline is burnt to create energy to power the motor(s).

In this case, the motor is moved due to Mechanical Energy.

(Keep in mind that Gasoline isn't energy, although it's used to create energy.)

Cheers!

How much work is the adult completing
1.6j
0.6j
20j
1,500j
I NEED THIS DONE FAST

Answers

Answer:

20j

Explanation:

espero haverte

ayudado

If an object moves at a constant velocity of 3 m/s, what is the force acting on the object

Answers

Answer:

Explanation:

don't know about any of the individual forces but the NET FORCE is zero.

If there were a net force, then acceleration would occur and velocity would not be constant.

HELPPPPPPPPP PPPP PPPPP

Answers

Answer:

I believe Beta Radiation based upon my research

Explanation:

Answer:

n

Explanation:

klljl

Đoạn dây dẫn thẳng có dòng điện I chạy qua, đặt trong từ trường
đều và vuông góc với các đường sức từ. Lực từ tác dụng lên đoạn dây
có phương

Answers

A straight piece of wire with a current I flowing through it is placed in a magnetic field

A straight piece of wire with a current I flowing through it is placed in a magnetic fielduniform and perpendicular to the magnetic field lines. Magnetic force acting on the string

A straight piece of wire with a current I flowing through it is placed in a magnetic fielduniform and perpendicular to the magnetic field lines. Magnetic force acting on the stringthere is a way

50 km/h east is an example of


velocity


acceleration


time


deceleration

Answers

velocity I hope so oh may

50 km/h east is an example of velocity.

What is velocity?

When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time. Uniform motion an object is said to have uniform motion when object cover equal distance in equal interval of time within exact fixed direction. For a body in uniform motion, the magnitude of its velocity remains constant over time.

Velocity is direction and magnitude and so 50 km/h east is an example of velocity.

50 km/h east is an example of velocity.

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A sudden gust of wind exerts a force of 19.0 N for 1.20 s on a bird that had been flying at 5.00 m/s. As a result, the bird ends up moving in the opposite direction at 7.00 m/s. 1) What is the mass of the bird

Answers

Answer:

Explanation:

An impulse results in a change of momentum

FΔt = mΔV

m = FΔt / ΔV

m = F(t₁ - t₀) / (v₁ - v₀)

If the initial flight direction is the positive direction

m = -19.0(1.20 - 0.00) / (-7.00 - 5.00)

m = 1.9 kg

20. A 418.6 N boy eats a protein bar with an energy content of 100 calories. What percent of this energy will be used up if he climbs 100-meter stairs

Answers

The percent of this energy that will be used up if he climbs 100-meter stairs is 1 %.

Potential energy = mgh

where

m = mass

g = acceleration due to gravity

h = height = 100 m

Therefore,  

weight = mg = 418.6 N

Potential energy = 418.6 × 100 = 41860 joules

covert 100 calories to joules.

1 calories = 4.184  j

100 calories = 418.4 joules

% energy used up = 418.4 / 41860 × 100

% energy used up = 41840 / 41860 = 0.99952221691

% energy used up ≈ 1 %

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A line in the spectrum of an element was observed to have a frequency of 5.17 X 1014 s-1. What is the wavelength of this radiation

Answers

Answer:

f = c / y          where y is the wavelength lambda

y = 3.00E8 / 5.17E14/s = 5.80E-7 m = 580 millimicrons - visible yellow

To calculate the wavelength of the radiation, you can use the formula that relates the speed of light (c) to the frequency (f) and wavelength (λ) of electromagnetic waves: λ = c / f.

Where:

λ = Wavelength

c = Speed of light (approximately 3.00 x 10^8 m/s)

f = Frequency

Given that the frequency (f) is 5.17 x 10^14 s^-1, you can plug in the values and calculate the wavelength:

λ = (3.00 x 10^8 m/s) / (5.17 x 10^14 s^-1)

λ ≈ 5.80 x 10^-7 meters

So, the wavelength of the radiation is approximately 5.80 x 10^-7 meters, which is in the range of the visible light spectrum (typically measured in nanometers).

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You throw an 8.75 g coin straight up into the air. The coin travels a distance of 776 cm upward.
What was the initial speed of the coin when you released it? Give your answer in units of m/s
and assume the coin is in free fall while it is in the air

Answers

Answer:

halo

Explanation:

good bye

A boat is traveling at an initial velocity of 2.7 meters per second in the positive direction. It accelerates at a rate of 0.15 meters per second squared for 12 seconds. What is the final velocity of the boat? ​

Answers

Answer:

[tex]\boxed {\boxed {\sf 4.5 \ m/s \ in \ the \ positive \ direction}}[/tex]

Explanation:

We are asked to find the final velocity of the boat.

We are given the initial velocity, acceleration, and time. Therefore, we will use the following kinematic equation.

[tex]v_f= v_i + at[/tex]

The initial velocity is 2.7 meters per second. The acceleration is 0.15 meters per second squared. The time is 12 seconds.

[tex]v_i[/tex]= 2.7 m/s a= 0.15 m/s²t= 12 s

Substitute the values into the formula.

[tex]v_f = 2.7 \ m/s + (0.15 \ m/s^2)(12 \ s)[/tex]

Multiply the numbers in parentheses.

[tex]v_f= 2.7 \ m/s + (0.15 \ m/s/s * 12 \ s)[/tex]

[tex]v_f = 2.7 \ m/s + (0.15 \ m/s *12)[/tex]

[tex]\v_f=2.7 \ m/s + (1.8 \ m/s)[/tex][tex]v_f=2.7 \ m/s + (1.8 \ m/s)[/tex]

Add.

[tex]v_f=4.5 \ m/s[/tex]

The final velocity of the boat is 4.5 meters per second in the positive direction.

An object with a mass of 2 kg is moving with a velocity of 3 m/s when a 5 N net force
acts upon it. What will the object's velocity be if the force acts for 7 S?

Answers

By Newton's second law, the net force exerted on the object makes it undergo an acceleration a such that

(2 kg) a = 5 N

so that it is accelerated a = 2.5 m/s^2.

Since the object starts with velocity 3 m/s, after 7 s its acceleration will make it speed up to

3 m/s + (2.5 m/s^2) (7 s) = 20.5 m/s

Just Answer No Need To Explain and please no SPAM 100 POINTS!!!!

A ceiling fan operates at three speeds, using 120 V of electricity from the wall. At low speeds, it uses 0.25 A. Calculate the resistance needed to generate that current. Then in 1-2 sentences, describe how the resistance would change at medium and high speeds if larger currents are needed at those speeds. Your answer should include the calculated resistance and a sentence describing your reasoning.

Answers

Did anyone get an answer for this??

I. The resistance which is needed to generate a current of 0.25 Ampere in the ceiling fan is 480 Ohms.

II. Since current is inversely proportional to the resistance in the electrical circuit, an increase in the current (larger currents) flowing into the electrical circuit of the ceiling fan would cause the resistance to decrease in magnitude at medium and high speeds.

Given the following data:

Voltage = 120 VoltsCurrent = 0.25 Ampere

To calculate the resistance needed to generate that current, we would apply Ohm's law:

Ohm's law states that at constant temperature, the current flowing through an electrical circuit is directly proportional to the voltage (potential difference) applied across the two terminals of the electrical circuit and inversely proportional to the resistance in the electrical circuit.

Mathematically, Ohm's law is given by the formula;

[tex]V=IR[/tex]

Where;

V is the voltage measured in Volts.I is the current measured in Ampere.R is the resistance measured in Ohms.

Making R the subject of formula, we have:

[tex]R =\frac{V}{I}[/tex]

Substituting the given parameters into the formula, we have;

[tex]R=\frac{120}{0.25}[/tex]

Resistance, R = 480 Ohms

Since current is inversely proportional to the resistance in the electrical circuit, an increase in the current (larger currents) flowing into the electrical circuit of the ceiling fan would cause the resistance to decrease in magnitude at medium and high speeds.

In conclusion, the larger the current, the lower the resistance would be at both medium and high speeds.

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A solid conductor with radius a is supported by insulating disks on the axis of a conducting tube with inner radius b and outer radius c . The central conductor and tube carry equal currents I in opposite directions. The currents are distributed uniformly over the cross sections of each conductor.

a. Derive an expression for the magnitude of the magnetic field at points outside the central, solid conductor but inside the tube
b. Derive an expression for the magnitude of the magnetic field at points outside the tube (r > c).

Answers

The answers to both are attached. Also hello to person in same class & same hw, physics 2 been a bummer but not too bad--just annoying in general.

Ampere's law allows us to find the results for the magnetic field at two distances from a system made up of two conductors:

     a) Magnetic field inside the system is:  [tex]b= \frac{\mu_o }{2\pi } \ \frac{I}{r}[/tex]  

     b) Magnetic field for the outside of the system is; b = 0

Ampere's Law.

Ampere's law states that the dot product of the magnetic field times a closed path is proportional to the current within the path.

          ∫ B. ds = μ₀ I

Where bold indicates vectors, B is the magnetic field, S the closed path, muo the vacuum permittivity and I the current

a) Ask the magnetic field inside the two conductors.

Let's fix a circular path within the system, see attached, in this case the current that stops inside the path is I.

The circle length is

        s = 2π r

        B 2π r = μ₀ I

        [tex]B = \frac{\mu_o}{2\pi } \ \frac{I}{r}[/tex]  

b) Ask the magnetic field on the outside of the two wires.

Let's use a circular path in the outer part of the system, see attached, in this case with indicate that the current is the two cables is of equal magnitude and in the opposite direction the net current is zero, consequently by Ampere's law

             B=0

In conclusion using Ampere's law we can find the magnetic field for the distances of a system formed by two conductors are:

     a) Magnetic field inside the systemis:    [tex]B = \frac{\mu_o}{2\pi } \ \frac{I}{r}[/tex]  

      b) Magnetic field outside of the system is; B = 0

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An oil droplet is levitated and held at rest in a region where the electric field is 1.4x104 N/C directed vertically downwards. If the droplet has 3 excess electrons attached, what is its mass

Answers

W = m g     weight of drop

W = q E

m = q E / g = = 3 e E / g

m = 3 * 1.6E-19 * 1.4E4 / 9.8 = 6.96E-16 kg

Complete this concept map about types of waves.

Answers

Answer:

The answer is within the picture.

Explanation:

A 1500 kg car traveling at 100 km/h South collides with a 1200 kg car traveling North at 100 km/h. The heavier car continues to move South after the collision, but slows to 25.0 km/h. How fast is the lighter car moving after the collision?

Answers

Answer:

31.3 km/h

Explanation:

momentum before collison = momentum after collion

m1xv1 = m2xv2

25x  1500 = 1200 x v2

v2=32.25 km/h = 32.3 km/h (3 sf)

The lighter car is moving at 6.25 km/h South after the collision.

What is law of conservation of momentum?

The law of conservation of momentum asserts that, unless an external force is applied, the total momentum of two or more bodies operating upon one another in an isolated system remains constant. As a result, momentum cannot be gained or lost.

Newton's third law of motion has a direct impact on the idea of momentum conservation.

From law of conservation of momentum; we can write:

Total initial momentum = total final momentum

1500 kg × 100 km/h + 1200×(-100 km/h) = 1500 kg × 25.0km/h + 1200×(v km/h)

100×300 kg-km/h = 1500×25 kg-km/h +  1200×(v kg-km/h)

1200×(v kg-km/h) = -7500

v = - 6.25 km/h.

Hence,  the lighter car is moving at 6.25 km/h South after the collision.

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How much work is done in holding a 20 N sack of potatoes while waiting in line at the
grocery store for 1000s ?
A. 20000J
B. 100J
C. 0.5J
D. Can’t be calculated

Answers

Answer: A

Explanation:

honestly, it sounded the best

A helicopter flying horizontally at a height H with a speed v0needs to drop a supply capsule to a point P . Assume the capsule has zero relative velocity with respect to the helicopter when it was dropped. Neglect the effect of air resistance. (a) At what distance L away from point P should the heli- copter drop the capsule

Answers

L = V0 x t
L = V0 x (2H/g)^1/2

A ball is held at rest at the top of a hill. The ball is then released and starts rolling down the hill. At the bottom, it reaches level ground and keeps rolling along the ground. Consider the level ground at the bottom of the hill as zero height.

Select the type or types of energy the ball has at the top of the hill.
kinetic energy

gravitational potential energy

spring potential energy

rotational kinetic energy

electrostatic potential energy
Select the type or types of energy the ball has halfway down the hill.
kinetic energy

gravitational potential energy

spring potential energy

rotational kinetic energy

electrostatic potential energy
Select the type or types of energy the ball has on the level ground.
kinetic energy

gravitational potential energy

spring potential energy

rotational kinetic energy

electrostatic potential energy

Answers

The energies that the ball possess when it is in rest at the top of the hill is electrostatic  potential energy. When the ball at the level ground, it has gravitational potential energy and when it at the half way down hill , it possess rotational kinetic energy.

What is potential energy?

Potential energy of a body is generated by virtue of its position. When the object is placed at rest on the surface the gravitational field, the stored energy is called gravitational potential energy.

When the object starts to move it gains kinetic energy.  When the ball is at rest on the top of the hill it has the electrostatic potential energy. When starts to roll to the ground , then its potential energy converts to rotational kinetic energy.

When, the ball reaches the ground its kinetic energy again transforms to potential energy where the ball is falling down to the gravitational field and thus it possess gravitational potential energy.

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How far from the front of the car will the CM be when two people sit in the front seat 2.80 m from the front of the car, and three people sit in the back seat 3.90 m from the front

Answers

The center mass of the car from the front for the given passengers is 3.46 m.

The given parameters;

distance of 2 people from the front of the car, d₁ = 2.8 mdistance of 3  people from the front of the car, d₂ =3.9 m

Assuming the mass of the passengers is the same, let their mass = m

Keeping the front seat as the reference point, the center mass is calculated as;

[tex]X_{cm} = \frac{ \ 2M(2.8m) \ + \ 3M(3.9m) }{2M + 3M} \\\\X_{cm} = \frac{17.3 Mm}{5M} \\\\X_{cm} = 3.46\ m[/tex]

Thus, the center mass of the car from the front for the given passengers is 3.46 m.

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The law of ellipse simple explanation

Answers

Kepler's first law - sometimes referred to as the law of ellipses - explains that planets are orbiting the sun in a path described as an ellipse. ... The resulting shape will be an ellipse. An ellipse is a special curve in which the sum of the distances from every point on the curve to two other points is a constan

A plane accelerates to a velocity of 240 m/s in 11 s by which time it had traveled 1,400 m down the runway what were it average and initial velocities

Answers

The average velocity is 127.27 m/s while the initial velocity is 14.55 m/s

According to Newton's law of motion:

s = [(v + u)/2]t

Where s is the distance moved = 1400 m, v is the final velocity = 240 m/s, u is the initial velocity, t is the time taken = 11 s, hence:

1400 = [(240 + u)/2)11

2800 = (240 + u)11

u + 240 = 254.55

u = 14.55 m/s

The average velocity = (v + u)/2 = (240 + 14.55)/2 = 127.27 m/s

Therefore the average velocity is 127.27 m/s while the initial velocity is 14.55 m/s

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Luna goes to the convenience store with $20.00. She buys 3 frozen drinks for$2.25 each and a snack for $3.85. How much money does she have left? No links plsss and help fast plss Read the passage then answer the questions that follow.Texting or using a cell phone while driving is very hazardous. This negligent act causes a great amount of car accidents every year (Copeland 2). While driving, adults and teenagers cannot resist the urge to pick up their cell phone and send a text or respond to one. As soon as the drivers eyes meet his/her cellular device, the focus on the road is drawn away. Every year, about 421,000 people are injured in crashes that have involved a driver who was distracted in some way. Each year, 330,000 accidents caused by texting while driving lead to severe injuries. This means that over 78% of all distracted drivers are distracted because they have been texting while driving (Copeland 5). Further, car crashes are four times more common to take place while the driver is on their mobile device over any other causes (Mulgrew 8). When people engage with a text message, its not possible to look in both directions at once; therefore, all of their focus goes straight to the screen of the cell phone. Its hard for all drivers, especially teenagers, to put down the cell phone and keep their hands on the wheel, and this negligence results in many dangers, and even deadly car crashes. Can you help me please I need help :,) Can some help me please PLzzz hruuy you will get 100 ponts limted time write 1 1/8 as an Improper fraction SOMEONE PLEASE HELP I ONLY HAVE 20 MINUTES LEFT Nitrogen gas reacts with hydrogen to produce ammonia. Use the chemical equation to complete the statements.N2 + 3H2 2NH3There are nitrogen atoms on the product side.There are hydrogen atoms on the reactant side. In "The Star-Spangled Banner," Key describes the sailors who fought in the battle for the British as "hirelings and slaves." What might this indicate about how Key felt about the sailors compared to how he probably felt about the British naval officers? Quick math question 100 points pls help This car dealership pays the salesperson a bonus for selling the car equal to 6.5% of the sale price. How much commission did the salesperson lose when they decided to offer a 10% discount on the price of the car? Which element has 2 energy shells and 2 valence electrons Which of the following isthe best synonym for"venerable"?A. reveredB. disreputableC. dishonorableD. shameful What might an inclined plane be used for?holding objects togetherBsplitting an object apartraising and lowering objectsDmoving an object along the ground A city manager determined that the citys busiest intersection averages 530 cars per hour during afternoon rush hour. Assume that the standard deviation is 38.4 and a random sample of 60 hours was used to determine the average. Which statements are true about this situation?A.The sample isnt large enough to use a normal distribution.B. The margin of error for 99% confidence is about 11 cars.C.The margin of error for 95% confidence is about 10 cars.D. The 95% confidence interval is from about 508 to 552 cars.E. The 99% confidence interval is from about 517 to 543 cars. for this assignment you will create a blog post for other students. your blog post will contain information on resources in your community for people that are seeking help for mental, emotional, and social health problems. your blog post will discuss the goals, services, benefits, importance in the community, and contact information for each resource. 8 5/12+ 11 1/4=In simplest form What is the answer to this question. Will mark brainlist what is 7x17 in distributive law Pls helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp What is the capital of the country representing each number on the mapParisRomeAthensMadrid