one force of 6.2 newtons and one force of 4.4 newtons act on a body at the same point so that the resultant force is 9.1 newtons. find the angle between the resultant and the larger force, to the nearest 10th of a degree.

Answers

Answer 1

The angle between the resultant and the larger force is 60 degree  if resultant force value is value 9.1Newtons.

We know that resultant force is given by the superposition principle which uses a formula

Resultant force =√((F₁)² + (F₂)² + 2 ˣ F₁ ˣ F₂ ˣ cosθ)

Superposition principle of electric force to find the resultant power, all accuses are thought about independently of that specific charge as though any remaining charges are missing. Along these lines, for each charge, the power on that specific charge is to be found out. Then the vector amount of the multitude of forces gives the resultant forces on that charge.

We have resultant force as 9.1Newton,F₁=6.2newton,F₂=4.4 newton

So,on putting the values,we get

=>(9.1) = √[(6.2)² + (4.4)² + 2 × 6.2×4.4×cosθ]

Squaring on both sides,we get

=>9.1 × 9.1 =(6.2)² + (4.4)² + 2× 6.2×4.4×cosθ

=>82.81=38.44 + 19.36 + 54.56×cosθ

=>82.81=57.8+ 54.56×cosθ

=>82.81-57.8= 54.56×cosθ

=>25.01=54.56×cosθ

=>cosθ=25.01/54.56

=>cosθ = 0.458

=>cosθ=cos(62.5)°

=>θ=62.5°

=>θ=60°(nearest 10th)

To know more about force,visit here:

https://brainly.com/question/22260425

#SPJ4


Related Questions

A block is hung by two ropes angled at 30º and 60º respectively. What is the ratio of the tension in the second rope to the tension in the first rope?

Answers

The ratio between 30° and 60° is 1:2

(The answer is probably obvious for some but I'm not big on science. Not my cup of English-..I'm implying Enlish is more my style...but yeah..help-)
This ray shows the image formed when a candle is placed in front of a curved mirror. Which of the following best describes the light ray shown in red?
A. The ray travels from the focal point to the image and continues in a straight line.
B. The ray travels toward the vertex and is reflected at an equal angle on the opposite side of the axis.
C. The ray travels parallel to the axis and is reflected as if it came from the focal point.
D. Tha ray travels toward the focal point and is reflected parallel to the axis.

(The answer is probably obvious for some but I'm not big on science. Not my cup of English-..I'm implying

Answers

D because it do da skiddly bip bop boop

If the magnetic polarity of the north pole of the Sun at a particular time is north, what will be the polarity of the preceding or leading spot of a bipolar sunspot region rotating about the Sun in the northern hemisphere

Answers

If the magnetic polarity of the north pole of the Sun at a particular time is north, the polarity of the preceding sunspot region rotating about the Sun in the northern hemisphere will be north.

Sunspots are regions of the Sun where the magnetic field is significantly stronger than anyplace else, at a rate of around 2,500 times that of Earth.

Since there is a strong magnetic field, the magnetic pressure rises while the air pressure lowers around it.

Since they develop in places with exceptionally strong magnetic fields, sunspots are comparatively cooler. Because of how powerful these magnetic fields are, part of the Sun's heat is prevented from reaching the Earth.

It has been discovered that the magnetic field of a sunspot is made up of the Sun's magnetic field that has been twisted or tangled.

To learn more about sunspots, click:

https://brainly.com/question/13969679

#SPJ4

I need help it is due today

I need help it is due today

Answers

Answer:

Option 3. The tennis ball began from rest and rolls at a rate of 14.7 m/s safer 1.5 seconds.

Explanation:

To know the the correct answer to the question, it is important that we know the definition of acceleration.

Acceleration can simply be defined as the rate of change of velocity with time. Mathematically, it is expressed as:

a = (v – u) /t

Where

a => acceleration

v => final velocity

u => Initial velocity

t => time

With the above information in mind, let us consider the options given in the question above to know which conform to the difinition of acceleration.

For Option 1,

We were told that the tennis ball has the following:

Distance = 4 m

Time = 1.5 s

This talks about the speed and not the acceleration.

Speed = distance / time

For Option 2,

We were only told about the average speed and nothing else.

For Option 3,

We were told that the tennis ball have the following:

Initial velocity (u) = 0 m/s

Final velocity (v) = 14.7 m/s

Time = 1.5 s

This talks about the acceleration.

a = (v – u) /t

For Option 4,

We were only told that the tennis rolls to the right at an average speed. This talks about the average velocity. We need more information like time to justify the acceleration.

From the above illustrations, option 3 gives the correct answer to the question.

A cannon is positioned on a hill and fired towards a flat field. A 20 cm diameter spherical iron cannonball leaves the muzzle of the cannon at 150 m/s at a trajectory perfectly parallel to the surface of the field. Iron has a density of 7800 kg/m 3 ; air at these conditions has a density of 1.3 kg/m3 and a kinematic viscosity of 1.6×10−5 m2 /s. (a) Assuming that motion along each axis is independent, what is the terminal velocity of the cannonball along the y axis (in the direction of gravity)? (b) Assuming the hill is high enough, how long will it take for the cannonball to reach 95% of this terminal velocity? (c) At the time determined in part (b), what is the velocity of the cannonball along the x axis? (d) Devise expressions for dimensionless time and dimensionless velocity that simplify the solution to part (c).

Answers

The velocity of the cannonball along the x axis after 7.59 s is therefore:vx = (150 m/s)(cos 0°)(7.59 s)vx = 1139.85 m.(d) Dimensionless velocity and dimensionless time are given by:v' = v/vTt' = 2gh/ vT²These expressions simplify the solution to part (c).

(a)  Terminal velocity along y axis is the maximum velocity that the cannonball can reach along y-axis as it falls. When it reaches terminal velocity, the acceleration of the cannonball becomes zero since its weight is balanced by air resistance. According to Stoke’s law, the drag force (Fd) experienced by a sphere moving slowly in a fluid is given by: Fd = 6πηrvwhere:η is the kinematic viscosity of the fluidv is the speed of the sphere, andr is the radius of the sphereHence, the terminal velocity (vT) of the cannonball is given by:  mg = 4/3 πr³ρg   [weight of cannonball = volume of cannonball x density of cannonball x acceleration due to gravity]6πηrvT = mgvT = mg/ (6πηr)The velocity of the cannonball along the y-axis is zero at the start and it reaches terminal velocity after falling through some height h.The velocity of the cannonball at any time t is given by:v = (2gh/ 3πr² ρ)½The velocity of the cannonball along the y axis is 131.3 m/s.(b)At 95% of terminal velocity, the velocity of the cannonball is 124.74 m/sUsing the expression:v = (2gh/ 3πr² ρ)½124.74 = (2gh/ 3πr² ρ)½h = (3/2)(124.74)² πr²ρ/g = 1509.65 mTherefore, it takes 7.59 s to reach 95% of the terminal velocity.(c)At the time determined in part (b), the velocity of the cannonball along the x axis can be calculated using the equation below:vx = vo xcosθtwhere vo is the initial velocity along the x-axis, θ is the angle of projection, and t is the time taken.At launch, the initial velocity along the x axis is 150 m/s and the angle of projection is 0°.

To know more about velocity, visit:

https://brainly.com/question/30559316

#SPJ11

A convex mirror of radius of curvature 1.6 m has an object placed at a distance of 1.0 m from it. Find the position of image and the magnification.​

Answers

Answer:

The image is formed at 0.44 m in front of the mirror

magnification (M) = 0.44

Explanation:

Applying, mirror formular

1/f = (1/u)+(1/v).................... Equation 1

Where f = Focal length of the convex mirror, u = object distance, v = image distance.

Using the real is positive convection,

From the question,

Given: f = -1.6/2 = -0.8 m( The focal length of a convex mirror is vitual), u = 1.0 m

Substitute these values into equation 1

-1/0.8 = (1/v)+(1/1)

Solve for v

1/v = 1.25+1

1/v = 2.25

v = 1/2.25

v = 0.44 m

Hence the image is formed at 0.44 m in front of the mirror

Magnification (M) = v/u

m = 0.44/1

m = 0.44

what force is driving the orbits positioning of the planets around the sun

Answers

Answer:

he found that a single forece known as gravity keeps the planets in their orbits around the sun gravity force that keeps planets in their orbits calculus a branch of mathmatics partially developed by Newton and used to explain his laws

Explanation:

I hope you have a nice day and please mark me(:

serving size is based on the amount of food that is customarily eaten at one time.
a. true
b. false

Answers

The statement "serving size is based on the amount of food that is customarily eaten at one time" is true.

Serving sizes are designed to represent the typical portion of a food item that an individual would consume in a single sitting. These sizes are often standardized across various types of food products to provide consumers with a consistent and reliable means of understanding and comparing the nutritional content of the items they consume.

To explain this further, serving sizes are determined by regulatory agencies and are based on average consumption data. They serve as a basis for the nutritional information presented on food labels, helping people to better understand how the food they eat contributes to their daily nutritional intake. This information is essential for making informed choices about the foods they consume and maintaining a healthy and balanced diet.

In conclusion, serving sizes provide an essential reference point for individuals to assess the nutritional content of their meals and make informed decisions about their dietary habits. By basing serving sizes on the amount of food that is customarily eaten at one time, these measurements offer a practical and accurate way for consumers to understand the impact of their food choices on their overall health and well-being.

To know more about serving sizes, visit:

https://brainly.com/question/1978861

#SPJ11

why is the molecular structure of the photovoltaic cells important for the efficiency of the cells?

Answers

Answer:

The molecular structure of photovoltaic cells is important for their efficiency because it affects the ability of the cells to absorb and convert light into electricity. The photovoltaic effect, which is the basis of solar cell operation, occurs when photons of light excite electrons within the cell material, causing them to become free from their atomic bonds and creating an electrical current.

The molecular structure of the photovoltaic cell material determines the electronic properties of the material, such as the bandgap energy and the electron mobility, which play a crucial role in the photovoltaic effect. The bandgap energy determines the minimum energy required to excite an electron, and the electron mobility determines how easily the electrons can move within the material.

If the molecular structure is poorly designed, the bandgap energy may be too low to effectively absorb the desired light, or the electron mobility may be too low to allow the electrons to move efficiently, both of which can lead to a reduction in efficiency. On the other hand, if the molecular structure is optimized, the photovoltaic cells can absorb light more effectively, the electrons can move more efficiently, and the overall efficiency of the cells can be improved.

Therefore, the molecular structure of photovoltaic cells is an important factor in determining their efficiency and is carefully considered by scientists and engineers in the design and development of new photovoltaic materials and technologies

ANSWER QUICK 30 POINTS
What force controls the movement of the planets around the sun, holds together stars grouped in galaxies, and galaxies grouped in clusters? Thoroughly explain your answer, making sure to include an example and describe how this force keeps planets in orbit. Make sure to write at least 3-5 sentences and proper conventions (spelling, grammar, punctuation, etc.) to respond. Put all answers in your own words (pls dont just take my points :( )

Answers

Answer:

Gravity creates stars and planets by pulling together the material from which they are made.

Explanation: Thats the only thing i have im stuck on the tga quiz

A cruise ship travels across a river at 25 meters per minute. If the river is 6200 meters wide, how long
does it take the ship to reach the other side.

Answers

Answer:

248 minutes

Explanation:

6200/25=248

This means there is 248 25s in 6200

which means it will take 248 minutes to travel through the river

Also here's a neat trick:

The units for speed is meters/minute

The units for distance is meters

Dividing distance by speed will cancel out the meters and leave only the speed.

14. All motion is relative to a reference point. (5 points)
True
False

Answers

Answer:

yes

Explanation:

All Motion is relative to a reference point. Object appears to move whether object moves, the reference point moves, or both move. is the distance traveled by an object over the period of time in which it moved. Ex - a racecar driver completes a three-mile lap in 60 seconds.

The statement "All Motion is relative to a reference point." is True.

What is frame of reference?

An inertial frame of reference is a frame of reference in which the Newton's laws are valid. In this frame of reference, the objects do not accelerate without any external force. All frames of reference moving with constant velocity are considered stationary.

In a non-inertial frame of reference, the Newton's laws will not work. They are moving with an acceleration.

All Motion is relative to a reference point. Object appears to move, the reference point moves, or both move is the distance traveled by an object over the period of time..

Thus, the statement "All Motion is relative to a reference point." is True.

Learn more about frame of reference.

https://brainly.com/question/3277563

#SPJ2

if you had something the size of a sugar cube that was made of white dwarf matter, it would weigh about as much as

Answers

If you had a sugar cube that was made of white dwarf matter, it would weigh about as much as an elephant.

White dwarfs are the smallest type of stars in the universe, and they have a density of around 100 million times greater than that of water. This means that if you took a sugar cube that was made entirely out of white dwarf matter and put it on your kitchen counter, it would weigh about as much as an elephant!

But don't worry—you're not going to find any white dwarfs at your local grocery store or restaurant. White dwarfs are formed when red giants collapse in on themselves after burning through their fuel. And if you did happen to find one, you'd need a really big countertop.

To learn more about white dwarf visit: https://brainly.com/question/25981690

#SPJ4

An object 0.1 m tall is placed 0.4 m from a convex mirror with a focal length of 0.3 m. What is the height of the image?

Answers

Answer: no exact answer

=

Explanation:

Suppose the gravitational force between two spheres is 30 N. If the magnitude of both masses doubles, and the distance between them tripled. What is the force between the masses?

Answers

If both masses double in size and their separation between them triples. 13..33 N will be the force between the masses.

What is gravitational force?

Newton's law of gravity states that each particle having mass in the universe attracts each other particle with a force known as the gravitational force.

Gravitational force is proportional to the product of the masses of the two bodies and inversely proportional to the square of their distance.

Given data:

The gravitational force = 30 N

Mass 1 =m₁

Mass 2=m₂

Distance between charges = R

Condition given:

Mass 1 = 2m₁

Mass 2= 2m₂

Distance  between charges = 3R

\(\rm F = \frac{Gm_1m_2}{R^2}\)

Case 2;

\(\rm F'=\frac{G(2m_1)(2m_2)}{(3R)^2} \\\\ F'=\frac{4}{9} \frac{Gm_1m_2}{R^2} \\\\ F'=\frac{4}{9} F \\\\ F'=\frac{4}{9} \times 30 \\\\ F'=13.33 \ N\)

Hence, the forces between the masses will be 13..33 N.

To learn more about the gravitational force refer to the link;

https://brainly.com/question/24783651

#SPJ1

5. In the equation for work, F is the ————
applied to the object and d is the —————-
through which the force is applied.

Answers

Answer:

F is the force applied to the object and d or "S" is the distance through which the force is applied

I'm looking for help factoring gravity into centripetal force equations, I know how to do ones without gravity just fine.

I'm looking for help factoring gravity into centripetal force equations, I know how to do ones without

Answers

Step 1;

Given,

The mass of the person, m=57.0 kg

The radius of the track, R=42.7 m

The normal force acting on the person, N=995 N

Step 2:

The centripetal force required for the person is provided by the sum of the difference in the normal force and the weight of the person.

Thus the centripetal force on the person is given by,

\(F_c=\frac{mv^2}{R}=N-mg\)

Where v is the speed with which the car and the person are moving and g is the acceleration due to gravity.

On rearranging the above equation,

\(v=\sqrt[]{\frac{R}{m}(N-mg)}\)

Step 3:

On substituting the known values in the above equation,

\(\begin{gathered} v=\sqrt[]{\frac{42.7}{57.0}\times(995-57.0\times9.8)} \\ =18.08\text{ m/s} \end{gathered}\)

Thus the velocity of the car is 18.08 m/s

Convert 13.6g/cm3 into kg/m3​

Answers

Answer:

0.000136kg/m3

Explanation:

13.6 / 1000 = 0.0136kg/cm3

0.0136 / 100 = 0.000136kg/m3

How is 'one standard kilogram' defined in SI system?

Answers

Explanation:

The standard one kilogram mass is the mass of platinum-iridium cylinder kept at 0 degree Celsius at the International Bureau of Weights and Measures in France. The mass is equal to mass of 1 litre of water at 4 degree Celsius.

the drum of a washing machine spins at 200 rpm the drum had a radius of 0.5m what will the centripetal force experienced by a towel spinning along the walls of the drum the towel weighs 0.25kg

Round of to nearest whole number

A) 48N
B) 55N
C) 45N
D) 57N

Answers

The centripetal force experienced by the towel is 55 N.

The given parameters;

angular speed of the washing machine, ω = 200 rpmradius of the machine' drum, r = 0.5 mmass of the towel, m = 0.25 kg

The centripetal force experienced by the towel spinning along the walls of the drum is calculated as follows;

Fc = mrω²

where;

Fc is the centripetal force

ω is angular speed in rad/s

The angular speed in rad/s is calculate as;

\(\omega = \frac{200 \ rev}{\min} \times \frac{2\pi \ rad}{1 \ rev} \times \frac{1\min}{60 \ s} \\\\\omega = 20.95 \ rad/s\)

The centripetal force experienced by the towel is calculated as;

\(F_c = mr\omega ^2\\\\F_c = 0.25 \times 0.5 \times (20.95)^2\\\\F_c = 54.9 \ N \ \approx 55 \ N\)

Thus, the centripetal force experienced by the towel is 55 N.

Learn more here: https://brainly.com/question/20905151

As you increase the decibel level from 80 db to 100 db, the sound pressure ratio goes from _____ to _____.

Answers

The sound pressure ratio ranges from 10,000 to 1,00,000. The decibel level ranges from 80 dB to 100 dB.

What does the term "sound pressure" mean?

The meaning of sound pressure is the discrepancy between the actual pressure and average pressure at any given instant at any place in the field of a sound wave.

What is the sound pressure unit?

The intensity of a sound, expressed in decibels, is known as sound pressure level (SPL) (dB).

How can sound pressure be decreased?The Seven Techniques for Quietness.Reduce the source's sound output. While it's not always feasible, there are instances when "turning down      the volume" is the wisest course of action. Increase the separation. Use a fence or other enclosure. Add diffusion and absorption. Make use of masking sound. Increase isolation from vibration. Think about active control.

To know more about sound pressure visit:

https://brainly.com/question/14855006

#SPJ4

A weightlifter applies 210 J of work to tire that weighs 85 N. Howfar does it move?

Answers

The tire moves 2.47 meters when the weightlifter applies 210 J of work to it. Because, the work done by weightlifter on tire causes it to move a certain distance.

Amount of work done depends on force applied and distance moved, and can be calculated using the work formula: work = force x distance

Substituting the given value: distance = 210 J / 85 N. distance = 2.47 m. Tire moves 2.47 meters when the weightlifter applies 210 J of work to it. This problem involves relationship between work, force, and distance, which are important concepts in physics. Work is defined as the product of force and distance, and it represents energy transferred to an object by a force acting on it.

To know more about force and distance, here

brainly.com/question/24783651

#SPJ4

A constant property, highly viscous, hot liquid having the far upstream temperature To and velocity u flows slowly through an infinitely long tube of cross-sectional area A and perimeter P. The wall thickness of the tube is negligible. The upstream half of the tube is insulated and the downstream half is subjected to convective heat transfer with the ambient at T. The heat transfer coefficient is h. Since the fluid flow is slow, axial heat conduction cannot be neglected. u a) Derive the differential equation describing the temperature distribution of the liquid in the downstream region based on a plug flow assumption. State all other assumptions. b) Write the appropriate boundary conditions and solve the differential equation.

Answers

a) The derivation of the differential equation is ΔT' = (1 - h/(ρcPu))ΔT + T' - T and is explained in the explanation part below. b) The appropriate boundary conditions are: At the tube entrance (x = 0), T = To. At the tube exit (x = L), the convective heat transfer condition is applied: -kA(dT/dx) = hA(T - T∞).

a) The following assumptions are made to develop the differential equation characterising the temperature distribution of the liquid in the downstream region:

Steady-state flow: The system achieves thermal equilibrium with no temperature fluctuation over time.Heat transport happens solely in the axial direction in one-dimensional heat conduction.Heat transfer occurs primarily within the fluid, and the influence of the tube walls on heat transfer is insignificant.The fluid flows uniformly in the tube with a consistent velocity profile across the cross-section, as assumed by the plug flow assumption.

ρc(uA)∂T/∂x + ρc(uA)(T - To)∂u/∂x = kA∂²T/∂x² - hA(T - T∞)

Dividing the above equation by ρcPAu and rearranging, we obtain:

ΔT' = (1 - h/(ρcPu))ΔT + T' - T

b) The boundary conditions are:

At the tube entrance (x = 0), T = To.At the tube exit (x = L), the convective heat transfer condition is given: -kA(dT/dx) = hA(T - T∞).

Thus, this can be concluded regarding the given scenario.

For more details regarding differential equation, visit:

https://brainly.com/question/32645495

#SPJ4

A 30-cm long string, with one end clamped and the other free to move transversely, is vibrating in its second harmonic. The wavelength of the constituent traveling waves is:

Answers

Answer:

\(\lambda\) = 40 cm

Explanation:

given data

string length = 30 cm

solution

we take here equation of length that is

L = \(n \times \frac{1}{4} \lambda\)     ...............1

so

total length will be here

\(L = \frac{\lambda}{2} + \frac{\lambda}{4}\\\)

\(L = \frac{3 \lambda }{4}\)

so \(\lambda\)  will be

\(\lambda = \frac{4L}{3}\\\lambda = \frac{4\times 30}{3}\)

\(\lambda\) = 40 cm

Which of the following statements are TRUE about nuclear energy?
A.Nuclear energy can result from splitting large atoms.
B.Nuclear energy can result from combining small atoms.

C.Nuclear energy is how the sun and stars make energy.

D.All of the above.

Answers

Answer:

d

Explanation:

Express your answer in newton-meters. Calculate the torque (magnitude and direction) about point due to the force F in each of the situations sketched in the figure below (Figure 1). In each case, the force F and the rod both lie in the plane of the page, the rod has length 4.00 m, and the force has magnitude 12.0 N. Let counterclockwise torques be positive

Answers

The torque (τ) can be calculated using the formula:

τ = r * F * sin(θ)

where r is the perpendicular distance from the point of rotation to the line of action of the force, F is the magnitude of the force, and θ is the angle between the line of action of the force and the direction from the point of rotation.

Since the force and the rod both lie in the plane of the page, we need to determine the angle θ between the line of action of the force and the direction from the point of rotation for each scenario. Additionally, we need to know the specific point about which the torque is being calculated.

If you can provide the description or details of the scenarios or the specific angles and points of interest, I will be able to assist you in calculating the torque accurately.

To know more about torque refer here

https://brainly.com/question/30338175#

#SPJ11

electromagnetic radiation is emitted by accelerating charges. the rate at which energy is emitted from an accelerating charge that has charge q and acceleration a is given by dedt

Answers

Electromagnetic radiation is indeed emitted by accelerating charges.

The rate at which energy is emitted from an accelerating charge with charge q and acceleration a is given by the equation

dedt = (2/3)q^2a^2/4πε₀c^3,

where ε₀ is the permittivity of free space and c is the speed of light.

Electromagnetic radiation is a form of energy that propagates as both electrical and magnetic waves traveling in packets of energy called photons.

There is a spectrum of electromagnetic radiation with variable wavelengths and frequency, which in turn imparts different characteristics.

Learn more about Electromagnetic radiation :

https://brainly.com/question/29646884

#SPJ11

How is the difference between consecutive resonance points related to the wavelength of the wave?

Answers

Answer:

The difference between two consecutive resonance points is always ½ a wavelength apart.

Explanation:

In both open and closed pipe resonators, the resonance points are always 1/2λ apart. (The distance to the next antinode)

The wheel is composed of a 10-kg hoop stiffened by four thin spokes with negligible masses. A horizontal force of 40 N is applied to the wheel initially at rest. Calculate the angular velocity of the wheel and its center has moved 3 m. Friction is sufficient to prevent slipping.

Answers

The wheel is composed of a 10-kg hoop stiffened by four thin spokes with negligible masses. A horizontal force of 40 N is applied to the wheel initially at rest.  The angular velocity of the wheel is 16/3 rad/s.

The given data are:

Mass of wheel, m = 10 kg

Applied force, F = 40 N

Distance moved, d = 3 m

The wheel is composed of a 10-kg hoop stiffened by four thin spokes with negligible masses. A horizontal force of 40 N is applied to the wheel initially at rest. The friction is sufficient to prevent slipping. Calculate the angular velocity of the wheel and its center has moved 3 m.The torque exerted by the force

F = r × F

Here, r = radius of the wheel

Let the radius of the wheel be R.

Then the torque exerted by the force F,

τ = R × Fτ = R × F = R × 40 N.m = 40R N.m

Inertia of the wheel is given by,

I = ½ mR² (for a hoop)

For a thin hoop, mass m is located at the rim of the wheel.

Hence, radius of gyration k = R

Hence,

I = mk²I = mR²I = 10 × R² (since m = 10 kg)

The torque causes an angular acceleration a, given by,

τ = Iαa = τ / Ia = (40R) / 10R²a = 4 / R rad/s²

The final angular velocity of the wheel,

ω = √2a(d/R)ω = √2a(d/R) = √2(4/R)×(3/R)ω = √24/R² rad/s

The velocity of the center of the wheel,

v = Rωv = Rω = R√24/R² = √24R m/s

When the center of the wheel has moved a distance of 3 m, v = 3 m/s

Hence, R = v / √24R = 3 / √24 m

The final angular velocity of the wheel,

ω = √24/R²ω = √24/(3/√24)² rad/sω = √24/(9/24)ω = √24 × 24/9 rad/sω = 16/3 rad/sT

herefore, the angular velocity of the wheel is 16/3 rad/s.

To know more about angular velocity visit:

https://brainly.com/question/30237820

#SPJ11

Hey!!
I need help in a question...

• Different types of fuels and the amount of pollutants they release.

Please help me with the question.
Thankss​

Answers

Answer: Different types of fuels have varying compositions and release different amounts of pollutants when burned. Here are some common types of fuels and the pollutants associated with them:

Fossil Fuels:

a. Coal: When burned, coal releases pollutants such as carbon dioxide (CO2), sulfur dioxide (SO2), nitrogen oxides (NOx), and particulate matter (PM).

b. Petroleum (Oil): Burning petroleum-based fuels like gasoline and diesel produces CO2, SO2, NOx, volatile organic compounds (VOCs), and PM.

Natural Gas:

Natural gas, which primarily consists of methane (CH4), is considered a cleaner-burning fuel compared to coal and oil. It releases lower amounts of CO2, SO2, NOx, VOCs, and PM.

Biofuels:

Biofuels are derived from renewable sources such as plants and agricultural waste. Their environmental impact depends on the specific type of biofuel. For example:

a. Ethanol: Produced from crops like corn or sugarcane, burning ethanol emits CO2 but generally releases fewer pollutants than fossil fuels.

b. Biodiesel: Made from vegetable oils or animal fats, biodiesel produces lower levels of CO2, SO2, and PM compared to petroleum-based diesel.

Renewable Energy Sources:

Renewable energy sources like solar, wind, and hydropower do not produce pollutants during electricity generation. However, the manufacturing, installation, and maintenance of renewable energy infrastructure can have environmental impacts.

It's important to note that the environmental impact of a fuel also depends on factors such as combustion technology, fuel efficiency, and emission control measures. Additionally, advancements in clean technologies and the use of emission controls can help mitigate the environmental impact of burning fuels.

Other Questions
Take the motivational quiz. After calculating your results, what did you learn about yourself? What motivates you? Are you properly motivating your team? Did the quiz identify any motivational traits that you want to modify Was Austria-Hungary powerful enough to engage in war?No, they had all of the manpower stationed in Africa.Yes, they had a huge emple and were ready.No, they had to have Germany's help and military.Yes, they were the strongest country in Europe.sorry for posting so much ! Marigold Corporation acquires a coal mine at a cost of $420,000. Intangible development costs total $105,000. After extraction has occurred, Marigold must restore the property (estimated fair value of the obligation is $84,000), after which it can be sold for $168,000. Marigold estimates that 4,200 tons of coal can be extracted. Required:If 735 tons are extracted the first year, prepare the journal entry to record depletion. a. what is a device register? b. what is a device data register? c. what is a device status register? use the elimination method to solve the system of equations. choose the correct ordered pairx+y=9x-y=7 Please help!!!Which tool is used for helps you accurately measure ingredients for recipes? HELP WHATS THE ANSWER AND HOW DO I DO IT In terms of ecotourism, does Victoria Falls (Zimbabwe) comply tothe five principles of ecotourism? the answers should be explainedin detail and supported by evidence or examples. I need help!!!question: What is the function of muscle tissue ?A. to contract to cause movement in the body.B. to transport materials and defend the body.C. to cover the body to protect other cells.D. to send signals to control the body. According to the chart, which building took longer to construct: the Taipei 101 or the Petronas Towers? Please help ASAP!! Thank you!Compute: what role did the French and American navies playing the Battle of Yorktown What were the two components of the government of ancient Athens? the House and the Senate the Council and the House the Senate and the Assembly the Council of 500 and the Assembly. the midpoint between -1/11 and 9/11[tex]-\frac{1}{11}and\ \frac{9}{11}[/tex] PLEASE ANSWER!!! Is y-x=2 a direct variation? Is (THIS IS A GRAPH, my school chrome book doesn't allow pictures so...) a direct variation? (see below)x : 2, 4, 6, 8y : 2, 3 4, 5 At the beginning of the year, a company estimates total direct materials costs of $950,000 and total overhead costs of $1,240,000. If the company uses direct materials costs as its activity base to apply overhead, what is the predetermined overhead rate it should use during the year? Evolution attempts to show that life began as simple organisms in the The graphs below have the same shape. What is the equation of the graph of g(x)?A. g(x) = (x-2)^2 B. g(x) = (x+2)^2C. g(x) = x^2 - 2 D. g(x) = x^2 + 2 Explaintwo effects ofhuman factor on environmental hazards. In comparison 1/3to where would 3/9belocated on a number lineAcloser to o.the same pointC.closer to 1DAt 0