Two forces with magnitudes of 6 pounds and 18 pounds are applied to an object. The magnitude of the resultant is 13 pounds. Find the measurement of the angle between the resultant vector and the vector of the 18 pound force to the nearest whole degree.

Answers

Answer 1

Answer: the angle between the resultant vector and the vector of the 18 pound is 28°

Explanation:

given that data in the question; as its interpreted in the diagram below;

from the cosine rule, we know that;

a² = b² + c² - 2bc  

so

(13)² = (6)² + (18)² - (2 × 6 × 18 ) cos∅

169 = 36 + 324 - 216cos∅

169 = 360 - 216cos∅

216cos∅ = 360 - 169

216cos∅ = 191

cos∅ = 0.8842

∅ = cos⁻¹ ( 0.8842 )

∅ = 27.8° ≈ 28°  {nearest whole number}

Therefore the angle between the resultant vector and the vector of the 18 pound is 28°

Two Forces With Magnitudes Of 6 Pounds And 18 Pounds Are Applied To An Object. The Magnitude Of The Resultant

Related Questions

At a state championship High School football game, the intensity level of the shout of a single person in the stands at the center of the field is 48.1 dB. What would be the intensity level at the center of the field if all 4841 fans at the game shouted from roughly the same distance away from that center point

Answers

Answer:

The value is  [tex]\beta_f = 84.95 \ dB[/tex]  

Explanation:

From the question we are told that  

    The intensity level  of the shout of a single person is [tex]\beta = 48.1 \ dB[/tex]

     The number of fans  is  [tex]n = 4841[/tex]

Gnerally intensity level is mathematically represented as

                     [tex]\beta = 10 log * \frac{I}{I_o }[/tex]

Here [tex]I_o[/tex] is the minimum intensity of sound human ear can pick and the value is  

          [tex]I_o = 1 * 10^{-12} \ W/m ^2[/tex]

when  [tex]\beta = 48.1 \ dB[/tex]

          [tex]48.1 = 10 log * \frac{I}{ 1 * 10^{-12}}[/tex]

    =>   [tex]4.81 = log ( \frac{ I}{ 1 * 10^{-12}} )[/tex]

taking antilog of  both sides

        [tex]64565.42 = \frac{I}{ 1 *10^{-12}}[/tex]

=>     [tex]I = 6.457 *10^{-8} \ W/m^2[/tex]

Generally  the intensity for the whole fans is mathematically represented as  

         [tex]I_f = n * I[/tex]

=>      [tex]I_f = 4841 * 6.457 *10^{-8 }[/tex]

=>      [tex]I_f = 0.0003126 \ W/m^2[/tex]

Gnerally the intensity level for the whole fans is mathematically represented as    

               [tex]\beta_f = 10 log [ \frac{I_f }{I_o } ][/tex]

=>             [tex]\beta_f = 10 log [ \frac{ 0.0003126 }{1*10^{-12}}[/tex]

=>             [tex]\beta_f = 84.95 \ dB[/tex]  

I AM 145 LBS. I FELL FROM A TABLE TOP THAT WAS 4.5 FEET HIGH AND LANDED ON MY HAND WHICH WAS TURNED BACKWORDS. I BROKE BOTH MAJOR BONES IN MY ARM DIRECTLY ABOVE MY WRIST. WHAT IS THE FORMULA OF THE FORCE AND WEIGHT HITTING THE FLOOR

Answers

Yes because 15.654367 divided by your mom = my 2nd dog

Which of the following statements about elements and atoms is true?
A. Atoms are the smallest unit of an element.
B. Atoms are made of particles called elements.
C. Elements are made of more than one type of atom.
D. Elements are changed into atoms by a chemical reaction.


hmu^^^^

Answers

Answer:

A. Atoms are the smallest unit of an element.

Explanation:

The correct statement from the given choices is that atoms are the smallest unit of an element.

Atoms are the smallest particles that takes part in chemical reactions and they are made up of protons, neutrons and electrons.

Elements are distinct substances that cannot be split up into simpler substances. They are made up of only one kind of atoms. Elements are not changed into atoms by chemical reactions. In chemical reactions, atoms simply recombine.

3 women push a stalled car. Each woman pushes with a 425 N force. What is the mass of the car if the car accelerates at 0.85 m/s2?

Answers

Answer:

1500kg

Explanation:

Assuming that the women push the car in the same direction, then the total force is:

Fnet = 425 N ⋅  3

= 1275 N

To find the mass, we use Newton's second law of motion, which states that,

F = ma

where:

   ·F is the force applied in newtons

   ·m is the mass of the object in kilograms

   ·a is the acceleration of the object in meters per second squared.

So we get:

        F

m=  ⁻⁻⁻⁻⁻

        a

     1275N

= ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

  0.85 m/s²

=  1500 kg

If a paratroopers legs have enough strength to support five times her weight, and they can do so over a travel distance of 0.5 m as they flex, from what height can she free fall to a solid surface without injury

Answers

Answer: the required height is 2.5 m

Explanation:

given the given data in question

Lime to come in rest;

using S = ((U1 + U2)/2) t

⇒ 0.5 = ((√(2gh) + 0)/2) t

t = (0.5 × 2) / √(2gh)

now fat = impulse = change in momentum dp

F = 5mg = dp/dt = [(m√(2gh))/(0.5 × 2)] × √(2gh)

5mg = 2mgh/(0.5 × 2)

5 = h / 0.5

h = 5 × 0.5

h = 2.5 m

Therefore the required height is 2.5 m

What do your observations show you about the forces exerted on objects in a collision?
Scroll for more

Answers

I need more information

A food processor draws 8.47 A of current when connected to a potential difference of 110 V.

How much electrical energy is consumed by this food processor monthly (30 days) if it is used on average of 10.0 min every day?

Answers

Answer:

27.95[kW*min]

Explanation:

We must remember that the power can be determined by the product of the current by the voltage.

[tex]P=V*I[/tex]

where:

P = power [W]

V = voltage [volt]

I = amperage [Amp]

Now replacing:

[tex]P=110*8.47\\P=931.7[W][/tex]

Now the energy consumed can be obtained mediate the multiplication of the power by the amount of time in operation, we must obtain an amount in Kw per hour [kW-min]

[tex]Energy = 931.7[kW]*30[days]*10[\frac{min}{1day} ]=279510[W*min]or 27.95[kW*min][/tex]

Which change to an object would double its potential energy?
OA. Increasing its mass to four times its original value
O B. Reducing its mass to one-half of its original value
OC. Reducing its height to one-half of its original value
OD. Increasing its height to twice its original value

HELPPPPP!!! PLZ

Answers

Answer: The answer is D! Hope this helps!

Explanation:

Answer:

It’s D for ape.x

Explanation:because I’m smarttttttt

Which of the following types of energy are present at some point in the energy transfer process in a nuclear power plan? Select all that apply.
Heat energy
Geothermal energy
Tidal energy
Hydroelectric energy
Nuclear energy
Electrical energy
Solar Energy

Answers

Solar Energy is the answer to the question tell me if i`m wrong

pls tell the answer​

Answers

Just flip one of the batteries to connect one's positive terminal to others negative terminal.

What are some negative impacts of land pollution on humans?

Answers

Answer:

Land pollution touches essentially every area of the living world, including: Water that isn't safe to drink. Polluted soil, which leads to a loss of fertile land for agriculture. Climate change, which causes an onslaught of disastrous problems, including flash floods and irregular rainfalls.

Explanation:

HOPE THIS HELPS!!!!!!

Answer:

Look at any ecosystem and there could be multiple forms of contamination—streams full of toxic chemicals from industrial processes, rivers overloaded with nutrients from farms, trash blowing away from landfills, city skies covered in smog. Even landscapes that appear pristine can experience the effects of pollution sources located hundreds or thousands of miles away.

Pollution may muddy landscapes, poison soils and waterways, or kill plants and animals. Humans are also regularly harmed by pollution. Long-term exposure to air pollution, for example, can lead to chronic respiratory disease, lung cancer and other diseases. Toxic chemicals that accumulate in top predators can make some species unsafe to eat. More than one billion people lack access to clean water and 2.4 billion don’t have adequate sanitation, putting them at risk of contracting deadly diseases.

Air pollution brings to mind visions of smokestacks billowing black clouds into the sky, but this pollution comes in many forms. The burning of fossil fuels, in both energy plants and vehicles, releases massive amounts of carbon dioxide into the atmosphere, causing climate change. Industrial processes also emit particulate matter, such as sulfur dioxide, carbon monoxide and other noxious gases. Indoor areas can become polluted by emissions from smoking and cooking. Some of these chemicals, when released into the air, contribute to smog and acid rain. Short term exposure to air pollution can irritate the eyes, nose and throat and cause upper respiratory infections, headaches, nausea and allergic reactions. Long-term exposures can lead to chronic respiratory disease, lung cancer, and heart disease. Long-term exposures also can lead to significant climatic changes that can have far reaching negative impacts on food, water and ecosystems. #SAVE OUR WORLD

A. 230 N
B. 194 N
C. 250 N
D. 340 N

Answers

Answer:

I think C 250 it is correct

Q. At what point in a waterfall do the drops of water contain the most kinetic energy ?

1.When they are halfway to the bottom


2.When they reach the bottom of the fall

Answers

Answer:

2.When they reach the bottom of the fall

Explanation:

The potential energy of the waterfall is maximum at the maximum height and decreases with decrease in height. Based on the law of conservation of mechanical energy, as the potential energy of the water fall is decreasing with  decrease in height of the fall, its kinetic energy will be increasing and the kinetic energy will be maximum at zero height (bottom of the fall).

Thus, the correct option is "2" When they reach the bottom of the fall

Why do we consider eyes, ears, and fingers as physical sensor​

Answers

Answer:

because

Explanation:

because we need eye to see if you don't have eyes how you regnise some one

if you have ears how can you know who's voice is who's

if don't have fingers how can you know what your are holding this is why they are called physical sensors

Answer:

because  they stimulate our brain and the sensor of human body detect stimuli.

Explanation:

how to calculate the speed using time and distance

Answers

Answer:

speed = distance/time

Explanation:

distance -> s

speed -> v

time -> t

The calculation of speed using time and distance shows that speed is equal to distance/time.

What is speed?

Speed refers to the rate of movement of a vehicle or person.

Thus, the speed can be computed by dividing the total distance by the time consumed.

Learn more about speed, distance, and time at https://brainly.com/question/4931057

If you are holding a stack of books at your waist and then you walk across the room your hands did?

Answers

Answer: 3) work

Explanation:

Work is doing something that requires you to expend energy. In walking across the room while your hands were carrying the stack of books, you expended energy through them which means that they did work.

We can neither tell the efficiency nor the power taken to do the work above from the given information. And by moving and holding books, there was definitely work done which means that all options apart from 3 are false.

In 1940, it was discovered that uranium could be artificially changed to plutonium, a process called transmutation. What combination of decay processes would convert U-239 (92 protons) into Pu-239 (94 protons)?
A. Beta-decay followed by beta decay.
B. Positron emission followed by electron capture.
C. Electron capture followed by alpha decay.
D. Alpha decay followed by beta decay.

Answers

The combination of decay processes that would convert U-239 into PU- 239 is beta decay followed by another beta decay. There are two different types of beta decay (positive and negative beta decays) they both occur simultaneously in order to move the atoms towards stability.

A 7750 kg space probe, moving nose-first toward Jupiter at 179 m/s relative to the Sun, fires its rocket engine, ejecting 72.0 kg of exhaust at a speed of 230 m/s relative to the space probe. What is the final velocity of the probe?

Answers

Answer:

179.47m/s

Explanation:

Using the law of conservation of momentum

m1u1 + m2u2 = (m1+m2)v

m1 and m2 are the masses

u1 and u2 are the initial velocities

v is the final velocity

Substitute

7750(179)+72(230) = (7750+72)v

1,387,250+16560 = 7822v

1,403,810 = 7822v

v = 1,403,810/7822

v= 179.47m/s

Hence the final velocity of the probe is 179.47m/s

Helping me please What can smart modern biosensors be used in heath applications?​

Answers

Answer: Biosensors are modern electronic devices which are made up of biological recognition system and a transducer, for processing of signals and to quantify a particular analyte.

Explanation:

In modern medicine, a Biosensors are used to replace some clinical laboratory investigations of biological fluids with the advantages of being easy to use, rapid and robust as well as offering multianalyte testing capability. They are classified based on their biological recognition elements which includes:

--> enzymatic biosensors

--> immuno biosensors

--> DNA and whole cell biosensors.

They can also be classified according to their signal transduction methods. These includes:

--> electrochemical Biosensors,

--> optical biosensors,

--> thermal and mass-based biosensors;

Some of the HEALTH APPLICATIONS of a modern biosensor includes:

--> Monitoring of glucose levels in diabetic patients which makes use of enzyme based sensors to monitor concentration of glucose in patients.

--> Detection of general metabolic status of bacteria, fungi, yeast, animal or plant cells.

--> Monitoring of cholesterol levels to prevent cardiovascular diseases. Cardiac troponin and. C - Reactive Proteins are biomarkers that are easily detected using biosensors.

--> They are used for Cancer clinical testings

did sans from Undertale really die or was he just trolling

Answers

he did sadly can’t believe it T-T

Answer:

I think he was just trolling.

Explanation:

They don't give out any good reasons or evidence about him dying. I think they are just pretending. You tell me tho.... Many people think he did die, while others think that he didnt.

What do you think?!

oo hi granger ru online here i have a doubt in physics . ​

Answers

Answer:

.

Explanation:

A 430.0 g mass is being pushed by a 1.1 N net force. What is the acceleration?

Answers

Answer:

[tex]a = 2.56\ m/s^2[/tex]

Explanation:

Mechanical Force

According to the second Newton's law, the net force exerted by an external agent on an object of mass m is:

F = m.a

Where a is the acceleration of the object.

The object has a mass of m=430 g = 0.43 Kg and is pushed by a net force of F=1.1 N. To calculate the acceleration, we solve for a:

[tex]\displaystyle a=\frac{F}{m}[/tex]

[tex]\displaystyle a=\frac{1.1}{0.43}[/tex]

[tex]\mathbf{a = 2.56\ m/s^2}[/tex]

room's become bright at the day time although there is no bright sunlight in the rooms why

this is give reason​

Answers

Answer:

The room become bright in the day by a process call scattering of light or Rayleigh scattering.

Explanation:

It is called Rayleigh scattering or scattering of light because Rayleigh scattering is the scattering if light or electromagnetic radiation by smaller particles which have radius of less than 110 nanometer in a medium and the wavelengths of the electromagnetic. Wave or light remain unchanged. The scattering of light occur in the day time in the room and this bring of brighten up of the room.

A teammate starts taking an all-natural supplement to improve strength and body shape and recommends you take it, too. This is an example of

Answers

Answer:

Explanation:

online personal fittness

I would appreciate some help for this worksheet question​

Answers

Answer:

a) [tex]v(2.5\,s) = 40\,\frac{m}{s}[/tex], b) [tex]v(3.5\,s) = -60\,\frac{m}{s}[/tex], c) [tex]v(4.5\,m) = 0\,\frac{m}{s}[/tex], d) [tex]v(7.5\,s) = 60\,\frac{m}{s}[/tex]

Explanation:

Mathematically speaking, the instantaneous velocity is the slope of the curve, which can be estimated by means of the definition of secant line, equivalent to the definition of average velocity:

[tex]v(t) = \frac{x(t+0.5\,s)-x(x-0.5\,s)}{(t+0.5\,s)-(t-0.5\,s)}[/tex] (1)

Where:

[tex]x(t+0.5\,s)[/tex], [tex]x(t-0.5\,s)[/tex] - Position of the particle at [tex]t +0.5\,s[/tex] and [tex]t-0.5\,s[/tex], measured in meters.

[tex]t[/tex] - Time, measured in seconds.

Now we proceed to calculate each instantaneous velocity:

a) [tex]t = 2.5\,s[/tex]

[tex]v(2.5\,s) = \frac{x(3\,s)-x(2\,s)}{3\,s-2\,s}[/tex]

[tex]v(2.5\,s) = \frac{120\,m-80\,m}{1\,s}[/tex]

[tex]v(2.5\,s) = 40\,\frac{m}{s}[/tex]

b) [tex]t = 3.5\,s[/tex]

[tex]v(3.5\,s) = \frac{x(4\,s)-x(3\,s)}{4\,s-3\,s}[/tex]

[tex]v(3.5\,s) = \frac{60\,m-120\,m}{1\,s}[/tex]

[tex]v(3.5\,s) = -60\,\frac{m}{s}[/tex]

c) [tex]t = 4.5\,s[/tex]

[tex]v(4.5\,s) = \frac{x(5\,s)-x(4\,s)}{5\,s-4\,s}[/tex]

[tex]v(4.5\,s) = \frac{60\,m - 60\,m}{1\,s}[/tex]

[tex]v(4.5\,m) = 0\,\frac{m}{s}[/tex]

d) [tex]t = 7.5\,s[/tex]

[tex]v(7.5\,s) = \frac{x(8\,s)-x(7\,s)}{8\,s-7\,s}[/tex]

[tex]v(7.5\,s) = \frac{0\,m - (-60\,m)}{1\,s}[/tex]

[tex]v(7.5\,s) = 60\,\frac{m}{s}[/tex]

The maker of an automobile advertises that it takes 13 seconds to accelerate from 5 kilometers per hour to 65 kilometers per hour. Assuming constant acceleration, compute the acceleration in meters per second per second. Round your answer to three decimal places.

Answers

Answer: the acceleration is 1.282 m/s²

 

Explanation:

Given that;

Time t = 13 sec

Initial velocity U = 5 kmph = (5 × 1000)/(60 × 60) = 1.3888 m/s

final velocity V = 65 kmph = (65 × 1000)/(60 × 60) = 18.0555 m/s

Now we know that;

V = U + at

we substitute

18.0555 = 1.3888 + 13a

18.0555 - 1.3888 = 13a

13a = 16.6667

a = 16.6667 / 13

a = 1.282 m/s²

Therefore the acceleration is 1.282 m/s²

What is the longest wavelength that can be observed in the third order for a transmission grating having 5200 slits/cm?

Answers

Answer:

641 nm.

Explanation:

Given that,

A transmission grating has 5200 slits/cm.

We need to find the longest wavelength that can be observed in the third order. Using grating equation as follows :

[tex]d\sin\theta=m\lambda[/tex] ...(1)

d is slit spacing

No fo slit per unit length :

[tex]N={5200}\ slit/cm\\\\=520000\ slits/m[/tex]

We know that, N = 1/d

For longest wavelength, θ = 90°

From equation (1)

[tex]\dfrac{\sin\theta}{m\lambda}=\dfrac{1}{d}\\\\520000=\dfrac{\sin(90)}{3\lambda}\\\\\lambda=\dfrac{1}{520000\times 3}\\\\=6.41\times 10^{-7}\ m\\\\=641\ nm[/tex]

Hence, the longest wavelength in third order for a transmission grating is 641 nm.

Electrical equipment in an office takes a current of 13 A from a 240 V supply.
Estimate the cost per week of electricity if the equipment is used for 30 hours each
week and 1 kWh of energy costs Rm0.50​

Answers

Answer:

The cost per week of electricity is Rm 46.8

Explanation:

Electrical Power and Energy

The electrical power consumed by an appliance connected to a voltage V and carrying a current I is given by:

P = V.I

The energy consumed by an electrical appliance of power P during a time t is:

E = P.t

The electrical equipment in an office takes I=13 A when connected to a V=240 V supply.

The power consumed is:

P = 240 V * 13 A

P = 3,120 Watt

Converting to Kilowatt:

P = 3,120/1,000 KW

P = 3,12 KW

If the equipment is used t=30 hours each week, the energy is:

E = 3.12 KW * 30 h

E = 93.6 KWh

Since the cost of each KWh is Rm 0.50, the weekly cost of electricity is:

C = 93.6 * 0.50 = 46.8

The cost per week of electricity is Rm 46.8

The earth makes one complete revolution around the sun in 365.24 days. Assuming that the orbit of the earth is circular and has a radius of 93,000,000 mi, determine the speedand magnitude of the acceleration of the earth, while treating earth as a point particle.[Hint: you can find the angular speed]Please be consistent with the units.

Answers

Answer:

The magnitudes of the speed and acceleration of the Earth are approximately 66,661.217 miles per hour and 47.782 miles per square hour, respectively.

Explanation:

Given that the Earth has a circular orbit and make a revolution at constant speed around the Sun. Then, the kinematic formulas for the speed and acceleration of the planet are, respectively:

Speed

[tex]v = \frac{2\pi\cdot R}{T}[/tex] (1)

Acceleration

[tex]a = \frac{4\pi^{2}\cdot R}{T^{2}}[/tex] (2)

Where:

[tex]v[/tex] - Speed of the planet, measured in miles per hour.

[tex]a[/tex] - Acceleration of the planet, measured in miles per square hour.

[tex]R[/tex] - Radius of the orbit, measured in miles.

[tex]T[/tex] - Period of rotation, measured in hours.

If we know that [tex]R = 93,000,000\,mi[/tex] and [tex]T = 8,765.76\,h[/tex], then the magnitudes of the speed and acceleration of the planet is:

[tex]v = \frac{2\pi\cdot (93,000,000\,mi)}{8,765.76\,h}[/tex]

[tex]v \approx 66,661.217\,\frac{mi}{h}[/tex]

[tex]a = \frac{4\pi^{2}\cdot (93,000,000\,mi)}{(8,765.76\,h)^{2}}[/tex]

[tex]a\approx 47.782\,\frac{mi}{h^{2}}[/tex]

The magnitudes of the speed and acceleration of the Earth are approximately 66,661.217 miles per hour and 47.782 miles per square hour, respectively.

How much is a ball that is tethered to a post accelerating if its linear speed is 3.5 m/s and the ball is 0.91 meters away from the pole? a = v^2 / r

Answers

Answer:

[tex]a_{c} = 13.46\ m/s^2[/tex]

Explanation:

The motion of the tethered ball around the pole can be modeled as uniform circular motion. The acceleration of the objects executing uniform circular motion is due to the change in direction of their velocity. This is called centripetal acceleration. It is given by the following formula:

[tex]a_{c} = \frac{v^2}{r}[/tex]

where,

ac = centripetal acceleration = ?

v = speed of ball = 3.5 m/s

r = distance of ball from center of rotation = 0.91 m

Using these values in equation, we get:

[tex]a_{c} = \frac{(3.5\ m/s)^2}{0.91\ m}\\\\a_{c} = 13.46\ m/s^2[/tex]

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