An electron travels at a speed of 9,811.933 m/s through a uniform magnetic field whose magnitude is 0.075 T. What is the magnitude of the magnetic force on the electron if its velocity vector and the magnetic field vector are make an angle of 18.407o ? Express your answer as the coefficient in front of 10^-19.

Answers

Answer 1

Answer tab

The force on a moving particle can be written as:

\(\vec{F}=q(vX\vec{B}+\vec{E})\)

Where X is the vectorial product. In our case, as there is only a magnetic field, we'll have:

\(F=qvBsin(\theta)\)

Where theta is the angle between both vectors. Replacing our values we get:

\(F=-1.6*10^{-19}*9811.933*0.075*sin(18.407)=-3.7179*10^{-17}\)

Considering we want only the magnitude (not the signal) and in terms of 10^(-19), our final answer is:

F = 371.79 * 10^(-19) N


Related Questions

r the following questions: a. why should the glassware be dry for this experiment? why might water contamination be a problem when using the reagent acetic anhydride; what byproduct might form due to moisture?

Answers

The glassware should be dry for the experiment because of following reasons

a. Glassware should be dry for this experiment because the reagent acetic anhydride reacts with water, producing acetic acid and heat. If the glassware is wet, it can lead to the premature reaction of the acetic anhydride, which can affect the accuracy of the results. Additionally, if water is present in the reaction mixture, it can hydrolyze the acetic anhydride, forming acetic acid and causing the reaction to fail.

b. Water contamination can be a problem when using acetic anhydride because it reacts with water to form acetic acid and heat. This reaction can cause the acetic anhydride to decompose prematurely, leading to inaccurate results. Additionally, water contamination can lead to the formation of byproducts such as acetic acid and acetic acid anhydride.

c. The byproduct that might form due to moisture is acetic acid. In the presence of water, acetic anhydride reacts to form acetic acid and heat. This reaction can lead to premature decomposition of the acetic anhydride and affect the accuracy of the experiment.

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A planet in another solar system orbits a star with a mass of 5.0 x 1030 kg. At one point in its orbit, it is 150 x 106 km from the star and is moving at 55 km/s. What is the semimajor axis of the planet's orbit

Answers

Answer:

32

Explanation:

You have to lift a 15 kg object. What is your output force?
Using a lever, you push down 20 N to lift a 10 kg object.
A) Find the output force.
B) What is the input force?
C) How much does the ramp multiply your force?
You push with 10 N up a ramp to move a 40 N object to the top
of a table. By how much does the ramp multiply your force?

Answers

Answer:

Explanation:

A) The output force required to lift a 15 kg object would be equal to the weight of the object, which is given by:

Output force = Weight of object = m * g

where m is the mass of the object and g is the acceleration due to gravity. Assuming that g is equal to 9.81 m/s^2, we have:

Output force = 15 kg * 9.81 m/s^2 = 147.15 N

Therefore, the output force required to lift a 15 kg object would be 147.15 N.

B) In this case, the input force is the force that you are pushing down with the lever, which is given as 20 N.

C) The mechanical advantage of the ramp is given by the ratio of the output force to the input force. In this case, the output force is the weight of the object (40 N) and the input force is the force that you are pushing with (10 N). Therefore, the mechanical advantage of the ramp would be:

Mechanical advantage = Output force / Input force = 40 N / 10 N = 4

So, the ramp multiplies your force by a factor of 4.

Note that in all of these calculations, we have assumed that the system is ideal and that there are no losses due to friction or other factors. In practice, these losses will reduce the mechanical advantage of the system and make it more difficult to lift or move objects.

What is revolution?
A. The motion of an object along a curved path
B. The spinning of an object on its axis
C. The orbit of a satellite around a central body
D. The motion of two objects around each other

Answers

Answer:

A. the motion of an object along a curved path

The main force(s) acting on the puck after receiving the kick is (are):_________.A) a downward force of gravity and an upward force exerted by the surfaceB) a downward force of gravity, and a horizontal force in the direction of motionC) a downward force of gravity, an upward force exerted by the surface, and a horizontal force in the direction of motionD) a downward force of gravityA) a downward force of gravity and an upward force exerted by the surface

Answers

Answer:

the statements, the correct one is A

a downward force of gravity and an upward force exerted by the surface

Explanation:

When the disc is hit, a thrust force is exerted in the direction of movement, at the moment the disc moves this force loses contact and becomes zero.

When the movement is already established there are two main forces: gravity that acts downwards and the reaction force to the support of the disk called normal that acts upwards.

As it is not mentioned that there is friction, this force that opposes the movement is zero.

Analyzing the statements, the correct one is A

arcsin 0.9331 in degrees​

Answers

Answer:

68.9233231661

Explanation:

Just put it into your calculator, shift sin should do it but it will come up like this: \(sin^{-1}\) which is the same as arcsin

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you will go no where as far as you wish because there is no air resistance or friction, causing you to not stop. In the real world, you would stop a little bit after you got done with the hill because you have friction and air Resistance to bring you to a stop. There is a huge difference because in real life, there is a lot of friction and air resistance in the real world, which will eventually bring someone to a stop no matter how fast they are going.

Answers

Because of friction and air resistance, every moving object will eventually come to rest unless a continuous net force is applied to it.

What is friction?

Friction is the opposition offered to motion of a body over another body.

Friction can either be:

Solid friction as in friction in solidsFluid friction as in air resistance

The law of inertia states that an object will remain in its state of rest or state of motion in a straight line unless acted upon by an external force.

However, due to friction and air resistance, every moving object will eventually come to rest unless a continuous net force is applied to it.

In conclusion, moving objects come to rest because of friction and air resistance.

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If a gas turned into a solid without going through the liquid state and how do you reverse it?

Answers

Answer:

put it in a volcano

Explanation:

Deposition is the phase transition in which gas transforms into solid without passing through the liquid phase. Deposition is a thermodynamic process. The reverse of deposition is sublimation and hence sometimes deposition is called desublimation.

What is likely to occur after a lava flow has destroyed all life in a natural community?



A:growth of opportunist species



B:climax community



C:primary succession



D:secondary succession

Answers

Answer:

C: primary succession

Explanation:

I took the test :)

A car started moving from rest and reached the speed of 160 km h in 30 minutes. Calculate the distance travelled

Answers

A car started moving from rest and reached the speed of 160 km h in 30 minutes. The distance travelled is 40 km.

Initial velocity of the car, u = 0 m/s (as car started from rest)

Final velocity, v = 160 km/h = 160 × 1000/3600 m/sec = \(\frac{400}{9}\) m/sec

Time taken, t = 30 minutes = 30 × 60 seconds = 1800 seconds

Using the equation,

v = u + at

\(\frac{400}{9}\) = 0 + a × 1800

a = \(\frac{400}{9}\)×\(\frac{1}{1800}\) = \(\frac{2}{81}\) \(m/sec^{2}\)

Putting the value of a into the equation ,

\(v^{2}\) - \(u^{2}\) = 2as

\((\frac{400}{9} )^{2}\) - \((0)^{2}\) = 2 × \(\frac{2}{81}\) × s

s = \(\frac{160000}{81}\) × ×\(\frac{81}{4}\) = 40000 m = 40000 ÷ 1000 km

distance travelled by car, s = 40 km

So the distance travelled by the car is 40 km when it started moving from rest and reached the speed of 160 km h in 30 minutes.

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The distance traveled by the car is approximately 22.22 meters.

To calculate the distance traveled by the car, we need to convert the given information to appropriate units and apply the formula:

Distance = Speed × Time

Given:

Initial speed = 0 km/h (since the car started from rest)

Final speed = 160 km/h

Time = 30 minutes

First, we convert the time from minutes to hours:

Time = 30 minutes = 30/60 = 0.5 hours

Next, we convert the speeds to meters per second (m/s) for consistency:

Initial speed = 0 km/h = 0 m/s

Final speed = 160 km/h = (160 × 1000) / (60 × 60) = 44.44 m/s (rounded to two decimal places)

Now, we can calculate the distance using the formula:

Distance = Speed × Time

Distance = 44.44 m/s × 0.5 hours = 22.22 meters (rounded to two decimal places)

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In a baseball game, Joseph hits a ball to the outfield. When does the ball have the most potential energy?

A. when the ball is caught
B. when the bat hits the ball
C. when the ball reaches its greatest velocity
D. when the ball reaches its highest point

Answers

It has the greatest Potential energy when the ball reaches its highest point.The correct option is D

What is potential energy?

Potential energy is the energy that an object possesses due to its position or state, which can be converted into work or kinetic energy when acted upon by a force.

There are three types of Potential Energy such as :

Elastic Potential Energy: Anything that can act like a spring or a rubber band can have elastic potential energyGravitational Potential Energy: There is a constant attractive force between the Earth and everything surrounding it, due to gravityChemical Potential Energy.

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Answer:

1) PE=mgh

2)when the ball reaches its highest point

3)21,599,200 J

4) The object’s mass, gravity, and height determine its potential energy.

5)Members of a team work together to create a plan, and then members choose different tasks to carry out the plan.

What are the reactants in a chemical formula?(1 point) Responses the substance created by chemical change the substance created by chemical change the atoms after the chemical reaction, found on the right side of the equation the atoms after the chemical reaction, found on the right side of the equation the atoms left over after the formation of the new substance the atoms left over after the formation of the new substance the atoms prior to the chemical reaction, found on the left side of the equation

Answers

The reactants in a chemical formula is the atoms prior to the chemical reaction, found on the left side of the equation. That is option D.

What is a chemical formula?

A chemical formula is defined as the scientific way of representation of chemical compounds either singly or during a chemical reaction.

During a chemical reaction, a chemical formula is made up of a right side and a left side with an arrow at its middle indicating the movement of the energy of the chemical reaction.

The reactants are found located at the left hand side of the chemical formula.

The reactants are made up of elements and compounds which combines to form a new product through the formation of new chemical bonds.

For example in the formation of water,

2H2. + O2. --> 2H2O

Here, Hydrogen and oxygen molecules are the reactants which are seen on the left-hand side of the chemical reaction.

Therefore, The reactants in a chemical formula is the atoms prior to the chemical reaction, found on the left side of the equation.

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Answer: D

Explanation: I took the quick check

Some dragonflies splash down onto the surface of a lake to clean themselves. After this dunking, the dragonflies gain altitude, and then spin rapidly at about 1100 rpm to spray the water off their bodies. When the dragonflies do this "spin-dry," they tuck themselves into a "ball" with a moment of inertia of 2.0×10−7kg⋅m2 . How much energy must the dragonfly generate to spin itself at this rate?

Answers

The dragonfly must generate approximately 4.8 × 10^-4 Joules of energy to spin itself at a rate of 1100 rpm.

Start by converting the rotational speed from rpm (revolutions per minute) to rad/s (radians per second). Since 1 revolution is equal to 2π radians, we can use the conversion factor:

Angular speed (ω) = (1100 rpm) × (2π rad/1 min) × (1 min/60 s)

ω ≈ 115.28 rad/s

The moment of inertia (I) is given as 2.0 × 10^-7 kg⋅m².

Use the formula for rotational kinetic energy:

Rotational Kinetic Energy (KE_rot) = (1/2) I ω²

Substituting the given values:

KE_rot = (1/2) × (2.0 × 10^-7 kg⋅m²) × (115.28 rad/s)²

Calculate the value inside the parentheses:

KE_rot ≈ (1/2) × (2.0 × 10^-7 kg⋅m²) × (13274.28 rad²/s²)

KE_rot ≈ 1.331 × 10^-3 J

Round the result to the proper number of significant figures, which in this case is three, as indicated by the given moment of inertia.

KE_rot ≈ 4.8 × 10^-4 J

Therefore, the dragonfly must generate approximately 4.8 × 10^-4 Joules of energy to spin itself at a rate of 1100 rpm.

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Approximately how many times louder is a 150-dB sound than a 80-dB sound?

Answers

a 150-dB sound is approximately 10 million times louder than an 80-dB sound.

What is the range of sound?

Provide instances of the differences between the audible, ultrasonic, and infrasonic frequency ranges. Three sorts of sound waves, each covering a distinct frequency range, are used. These are what they are:

Waves that fall inside the ear's sensitivity range are referred to be audible waves.Infrasonic waves are those whose frequencies fall below the range of human hearing. Ultrasonic waves are those with frequencies higher than those of sound.

The difference in decibels between two sounds is related to the ratio of their intensities (or power) by the following formula:

dB₂ - dB₁ = 10 log10(I₂ / I₁)

where dB₁ and dB₂ are the decibel levels of the two sounds, and I₁ and I₂ are their intensities (or power).

Using this formula, we can find the ratio of the intensity of a 150-dB sound to that of an 80-dB sound:

150 dB - 80 dB = 10 log10(I₁₅₀ / I₈₀)

70 = 10 log10(I₁₅₀ / I₈₀)

7 = log10(I₁₅₀ / I₈₀)

10^7 = I₁₅₀ / I₈₀

I₁₅₀  = 10^7 * I₈₀

This shows that the intensity of a 150-dB sound is 10 million times greater than that of an 80-dB sound.

Therefore, a 150-dB sound is approximately 10 million times louder than an 80-dB sound.

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In the system of two blocks and a spring shown above, blocks 1 and 2 are connected by a string that passes over a pulley. The initially un-stretched spring connects block 1 to a rigid wall. Block 1 is released from rest, initially slides to the right, and is eventually brought to rest by the spring and by friction on the horizontal surface.
Which of the following is true of the energy of the system during this process?

Answers

Potential energy lost by block 2 is greater than the potential energy gained by the spring - is true of the energy of the system during this process

What is potential energy?

Potential energy is stored energy that is affected by the relative location of various components in a system. Stretching or compressing a spring increases its potential energy. A steel ball has higher potential energy when lifted above ground than when it falls to Earth.

Because every item moved from its resting posture has stored energy, it is referred to as potential energy because it has the ability to accomplish work when released.

Thus, potential energy lost by the block 2 = potential energy gained by the spring + energy lost to overcome the friction.

Thus, Potential energy lost by block 2 is greater than the potential energy gained by the spring .

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The complete question is as follows:

Block 1 and Block 2 In the system of two blocks and a spring shown above, blocks 1 and 2 are connected by a string that passes over a pulley. The initially unstretched spring connects block 1 to a rigid wall. Block 1 is released from rest, initially slides to the right, and is eventually brought to rest by the spring and by friction of the horizontal surface. 24. Which of the following is true of the energy of the system during this process? (A) The total mechanical energy of the system is conserved. (B) The total mechanical energy of the system increases. (C) The energy lost to friction is equal to the gain in the potential energy of the spring, (D) The potential energy lost by block 2 is less in magnitude than the potential energy gained by the spring. (E) The potential energy lost by block 2 is greater in magnitude than the potential energy gained by the spring.

Bob and Sally sit on a 4 m long see-saw that has its fulcrum smack in the center of the board. If 50 kg Sally is sitting at one end of the plank, where should 70 kg Bob sit on the other side relative to the fulcrum so the net Torque is zero?

Answers

Answer:

1.43m

Explanation:

Given data

m1= 50kg

m2=70kg

We are told that Sally m1= 50 sat at one end which is 2m from the center

Hence, the summation of clockwise moment = summation of anticlockwise moment

See the attached image for your reference

50*2= 70*x

100= 70x

x= 100/70

x=1.43m

Hence the mass m2 will be at the 1.43m mark for the net torque to be zero

Bob and Sally sit on a 4 m long see-saw that has its fulcrum smack in the center of the board. If 50

A body of mass 100kg exerts pressure of 50.000N\M².calculate the area over which the force acts​

Answers

Answer:

the area is 0.0196 m^2

Explanation:

Recall that pressure is defined as the force over the surface area:

Pressure = Force / Area

Therefore, Area =  Force / Pressure

in our case, the acting force is the gravitational force Fg = m * g = 100 * 9.8 N = 980 N

and the pressure is 50000 N/m^2

Then the acting area is:

980 / 50000 m^2 = 0.0196 m^2

The moon has a mass of 7.35 E 22 kg and is located 3.84 E 8 meters from Earth. If a car on Earth has a mass of 3,450 kg, what is the gravitational force between this car and the moon?

Answers

F = 0.00156 N

Explanation:
F=G•m1•m2
_____
r2

Larry the Rock was lonely for multiple years. The inertia that Larry possessed intimated those who walked past by it, therefore people never moved Larry.
Larry constantly watched people and cars accelerate past him but sadly he has never had the opportunity to experience acceleration.
But one day, David decides to let Larry experience acceleration and tried to push him. His friend Pancho heard about this and decided to help out. But
because Pancho was not listening in Physics class, he was pushing Larry from the opposite side of David with an equal amount of force and Larry was sad
he still did not get to move.
What type of Equilibrium is Larry going through?
O Static Equilibrium
O Kinetic Equilibrium
O Dynamic Equilibrium
O Geo Equilibrium
O Francesca Equilibrium

Answers

First option is correct.Larry the Rock is going through Static Equilibrium.

In this situation, Larry is at rest and remains stationary despite the forces acting on him. While David and Pancho are exerting equal forces from opposite sides, their forces cancel each other out, resulting in a net force of zero. As a result, Larry does not move or experience any acceleration.

Static equilibrium occurs when an object's forces and torques balance each other, leading to a stable, balanced state. In this case, the forces exerted by David and Pancho are equal in magnitude and opposite in direction, creating a condition where the resultant force is zero. As a result, Larry remains in a state of rest, unable to experience any movement or acceleration.Therefore, the type of equilibrium that Larry the Rock is going through is Static Equilibrium.

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The north pole of a bar magnet points towards a thin circular coil of wire containing 40 turns. The magnet is moved away from the coil, so that the ux through one turn inside the coil decreases by ∆Φ = 0.3 T.m2 in a time ∆t = 0.2 s. What is the average EMF induced in the (whole) coil during this time interval? Viewed from the side opposite of the bar magnet (from the right), does the induced current run clockwise or counterclockwise? Explain briey. [2 p.]

Answers

Answer:

60 V

The direction will be anticlockwise from the right side of the magnet.

Explanation:

The change in magnetic flux = ∆Φ = 0.3 T.m^2

The change in time = ∆t = 0.2 s

number of turns = 40 turns

The induced emf E = N∆Φ/∆t =

E = (40 x 0.3)/0.2 = 60 V

If the magnet is moved away from the coil, the induced current on the coil will try to oppose the motion of the magnet by attracting the magnet towards the coil. For the magnet to be attracted towards the coil, it must possess the equivalent of a magnetic south pole. For the equivalent of a magnetic south pole, the current on the coil will flow in the clockwise direction when viewed from the left side of the magnet. When viewed from the right side of the magnet, the direction will appear as anticlockwise.

The north pole of a bar magnet points towards a thin circular coil of wire containing 40 turns. The magnet

The social model was created by​

Answers

Mike Oliver was the social media creator

Please hellpppppppppppppppp thank you

Please hellpppppppppppppppp thank you

Answers

Answer:

Heres on ex.

When the driver of a bus applies brake suddenly, the lower part of the body comes to rest as the bus comes to rest but, the upper part of the body continues to move forward due to inertia of motion.

Explanation:

The first P-wave of an earthquake travels 5600 kilometers from the epicenter and arrives at a seismic station at 10:05 a.m. At what time did this earthquake occur?

Ahhhhhh I have a Regent's test in 2 hours and I don't know how to solve this type of question! Any help would be appreciated.

Anyone know what the steps to do this are? I dont even need an answer, just how to get to it. Thank you!

Answers

The earthquake would occur 13 minutes before 10:05 a.m. which will be at 9.52 am.

The p-waves travel with a constant velocity of 7 km/s

The time can be calculated by using the formula

t = d / v

where

T1 =  10:05 a.m

d is the distance they take to travel from the epicenter

v is the speed of the p-waves

On average, the speed of p-waves is

v = 7 km/s

d = 5600 km (given)

Substituting the values in the formula;

t = d / v

t = 5600 ÷ 7

t = 800 seconds

Converting into minutes,

t = 800 ÷ 60

t = 13.3

≈ 13 mins

T1 -  13 mins = T2

10:05 - 13 mins = 9.52 am

It means the earthquake occurred prior 13 minutes, that is at 9.52 am.

Therefore, the earthquake occurred at 9.52 am.

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the earth orbits is oval in shape.explain how the mangnitude of gravitational between the earth and sun changes as the eart moves from position a to b

Answers

As the distance between the Earth and the Sun decreases, the magnitude of gravitational force between the earth and sun increases and vice versa.

What is gravitational force?

Gravitational force is a force that attracts any two objects with mass.

According to Newton's law of universal gravitation, the force of attraction between two objects in the universe is directly proportional to the product of their masses and inversely proportional to the square of the distance between the two objects.

F = Gm₁m₂/R²

where;

m₁ is mass of Earthm₂ is mass of sunR is the distance between the Earth and Sun

Thus, as the distance between the Earth and the Sun decreases, the magnitude of gravitational force between the earth and sun increases and vice versa.

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1. Fenway Park's small dimensions and the Green Monster have what overall effect on baseball statistics?

Answers

Fenway Park's small dimensions and the Green Monster have a significant effect on baseball statistics. The short distance of the left field wall, which is famously known as the Green Monster, and the relatively small size of the outfield in general, make it easier for batters to hit home runs and for runners to score from second base on a single. This means that there are often more home runs and higher scores in games played at Fenway Park compared to other parks in the league. Additionally, the unique dimensions of the field can also lead to more doubles and triples, as well as more errors by fielders who are not accustomed to playing in such a small and quirky ballpark.

A pitcher throws a baseball from the pitcher's mound to home plate in 0.46 s. The
distance is 18.4 m. What was the average speed of the baseball?
a. 40 m/s
b. - 40 m/s
c. 0.03 m/s
d. 8.5 m/s

Answers

The average speed of the baseball is  option  a. 40 m/s .

To calculate the average speed of the baseball, we use the formula:

Average Speed = Distance / Time

Given:

Distance = 18.4 m

Time = 0.46 s

Plugging in the values, we have:

Average Speed = 18.4 m / 0.46 s = 40 m/s

Therefore, the average speed of the baseball is 40 m/s.

Option a, 40 m/s, is the correct answer. This means that the baseball traveled an average distance of 40 meters per second from the pitcher's mound to home plate.

Average speed is a scalar quantity that represents the total distance traveled divided by the total time taken. It gives us an idea of how fast an object is moving on average over a given distance.

In this case, the baseball covered a distance of 18.4 meters in a time of 0.46 seconds. Dividing the distance by the time gives us the average speed of 40 m/s.

It's important to note that average speed is a measure of the overall rate of motion and does not provide information about the direction of motion. Therefore, negative values such as option b (-40 m/s) or extremely small values such as option c (0.03 m/s) are not appropriate in this context.

Option d (8.5 m/s) is also incorrect as it does not match the calculated average speed of 40 m/s.

Therefore, the correct answer is option a, 40 m/s, as it accurately represents the average speed of the baseball.

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____ is the perceived frequency of a sound wave.

Answers

The answer would be -pitch-

Hope this helps

Have a great day/night

Answer:

Pitch is the correct answer!

Explanation:

~Hope this helps! :)

What happens when the forces applied to an object at rest produce a net force of zero?

1.The object will not move at all.

2.The object will have positive acceleration.


3.The object will change its direction of motion.

Answers

Answer:

1. The object will not move at all.

Explanation:

The question above is related to "Newton's First Law of Motion." According to this law, an object that is at rest will remain in its position (at rest) unless acted upon by "unbalanced forces." If the forces applied to an object are balanced, the net force is zero. This means that the object will not move nor accelerate.

The law also mentioned that if the object is in motion, it will remain in same velocity (speed with direction) if there's no net force.

Joe is painting the floor of his basement using a paint roller. The roller has a mass of 2.4 kg and a radius of 3.8 cm. In rolling the roller across the floor, Joe applies a force F = 16 N directed at an angle of 35° as shown. Ignoring the mass of the roller handle, what is the magnitude of the angular acceleration of the roller?

Answers

The magnitude of the angular acceleration of the roller is approximately 108.8 rad/s².

To find the magnitude of the angular acceleration of the roller, we can use the rotational analog of Newton's second law: τ = Iα, where τ is the torque, I is the moment of inertia, and α is the angular acceleration.

First, let's calculate the moment of inertia of the roller. The moment of inertia of a solid cylinder rotating about its central axis is given by the formula: I = (1/2)mr², where m is the mass and r is the radius.

Given:

Mass of the roller (m) = 2.4 kg

Radius of the roller (r) = 3.8 cm = 0.038 m

Moment of inertia (I) = (1/2) * 2.4 kg * (0.038 m)² = 0.0021744 kg·m²

Next, we need to calculate the torque (τ) applied to the roller. Torque is given by the formula: τ = rFsin(θ), where r is the distance from the axis of rotation to the point of application of the force, F is the magnitude of the force, and θ is the angle between the force and the line connecting the axis of rotation and the point of application.

Given:

Force applied (F) = 16 N

Angle (θ) = 35°

Distance from the axis of rotation to the point of application (r) is equal to the radius of the roller, so r = 0.038 m.

Torque (τ) = (0.038 m) * (16 N) * sin(35°) = 0.2366 N·m

Now, we can use the equation τ = Iα and solve for the angular acceleration (α):

0.2366 N·m = (0.0021744 kg·m²) * α

α = 0.2366 N·m / 0.0021744 kg·m² ≈ 108.8 rad/s²

Therefore, the magnitude of the angular acceleration of the roller is approximately 108.8 rad/s².

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A foot spa machine is an electronic gadget used for soaking,bathing and massaging the feet.​

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Just gonna take this at free points and yes you are right but I am confused on what you wanted us to do

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This only covers material from chapter 5.Use the following information for questions 1 - 24:Security R(%) 2(%%)1 12 82 6 23 14 184 12 10.7In addition, the correlations are: rho12 = 1, rho13 = 1, rho14 = 0.Security 1 + Security 2: Short Sales AllowedUsing securities 1 & 2 and assuming short sales are allowed, solve for the minimum variance portfolio.1. What is the fraction invested in Security 1? (2 decimal places if required)2. What is the fraction invested in Security 2? (2 decimal places if required)3. What is the expected return for this portfolio? (in %, 2 decimal places if required)4. What is the standard deviation for this portfolio? (in %, 2 decimal places if required) Although there is no strict time limit for ratifying an amendment,reasonable timeframe for ratification.A sevenB. tenC. SixteenD. twenty-one sellers should know that the less elastic the demand for their product, the more advantageous it is for them to Before Catherine the Great became the ruler of Russia, she wanted to help the serfs. Select the reasons below that caused her to change her mind and not change serfdom (Choose 3)A) The landowning nobles did not want to lose their labor force.B) The Serfs paid high amounts of taxes and the government needed that to fund the army.C) The Serfs owned a majority of the land in Russia. Catherine the Great wanted their land.D) The Serfs revolted in 1773 slaughtering nobles and looting their estates. The cost per risk discovered is typically highest in the _______________ stage of the project A Cu/Cu2 concentration cell has a voltage of 0.22 V at 25 o C. The concentration of Cu2 in one of the half-cells is 1.5 x 10-3 M. What is the concentration of Cu2 in the other half-cell When people began to settle west of the Appalachians in the late 1700s, they were mainly looking for fertile farmland. new plants and animals. a water route to the Pacific. sites for industrial development. Next we need to determine the mass of oleic acid in the monolayer. The concentration of the oleic acid/benzene solution is 0.02g/L. Calculate how many grams of oleic acid is in one drop. how can you protect a computer from electrical spikes and surges? group of answer choices use a surge protector. use a cable lock. unplug the computer when it is not in use. use an uninterruptible power supply. Explain what happened to the captain of the Pharaon prior to its arrival in France. What effect does this have on Dantes Describe what a reciprical is through in your own words.giving brainiest the mundus novus was named after ________ by a german mapmaker. Suggest two ways to bring peaceful coexistence and fraternity in the contemporary indian society. Number 9 I cant graph it its too confusing Why is Nelson Mandela a hero to many South Africans?A. led a long struggle to end apartheidB. led the movement to ban Western influences in African artC. promoted rai as a tool for protestD. opened the African interior to European trade which of the following are the measurements for the amount of data lost and the time needed to get back online after an outage? a) Recovery Time Objective (RTO); b) Recovery Point Objective (RPO); c) Disaster Recovery Plan (DRP); d) Business Continuity Plan (BCP) Weighted average cost of capitalAmerican Exploration, Inc., a natural gas producer, is trying to decide whether to revise its target capital structure. Currently it targets a 50-50 mix of debt and equity, but it is considering a target capital structure with 90% debt. American Exploration currently has 5% after-tax cost of debt and a 10% cost of common stock. The company does not have any preferred stock outstanding.a.What is American Exploration's current WACC?b.Assuming that its cost of debt and equity remain unchanged, what will be American Exploration's WACC under the revised target capital structure?c.Do you think shareholders are affected by the increase in debt to 90%? If so, how are they affected? Are the common stock claims riskier now?d.Suppose that in response to the increase in debt, American Exploration's shareholders increase their required return so that cost of common equity is 14%. What will its new WACC be in this case?e.What does your answer in part d suggest about the tradeoff between financing with debt versus equity? Is 874 divisible by 2?yesnoSubmit the table shows the number of jeans sold at a store at different prices While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd. The actual number of cattle in the herd was 600.What was the percent of error, rounded to the nearest percent? 15%20%25%30%