An electron is released from rest in a unifor electric field and accelerates to the north at a rate of 145 m/s^2. What is the magnitude and direction of the electric field?

Answers

Answer 1

Answer:

E = 8.26*10⁻¹⁰ N/C, due south.

Explanation:

Assuming no other forces acting on the electron than the electrostatic force due to the electric field, we can apply Newton's 2nd law as follows:

       \(F = -eE =ma (1)\)

Solving for E, we can find its magnitude as follows:

       \(E =\frac{m*a}{e} = \frac{9.1e-31 kg*145m/s2}{1.6e-19C} = 8.26e-10 N/C (1)\)

The direction of the electric field is by definition the one that would take a positive test charge, so if the electron is accelerated to the north, the electric field would exactly oppose to this direction, so it is directed due south.

Related Questions

Convert 56,340,040 meters into scientific notation?

Answers

Answer:

5.634004 × 10^7

Explanation:

the number 7 is for the numbers before the number 5

5.6340040 x 10^7 Because the 10^7 represents the ten millions place.

if the momentum of an object is doubled then kinetic energy is ...?​

Answers

Answer:

increased with the same rate as momentum

Help me please I wrote some but I am still stuck

Help me please I wrote some but I am still stuck

Answers

Answer:

write something like after the spacecraft launched all of the potential energy transformed into kinetic energy causing the spacecraft to go at an abnormal spped.

Explanation:

PEOPLE PLEASE HELP ASAP!!!-How does Force effect acceleration?

Answers

Answer:

If the force is higher then the resitance o fht eobject then force will make object accelerate.

Explanation:

Does that make sense. If you need something else as an answer tell me in the comments and please mark with a heart and brainliest. If you don't mind

We know:

Force =Mass×Accerlation

\(∴Accerlation = \dfrac{force}{mass} \)

So by seeing this formula we came to know that accerlation is directly proportional to force and inversely proportional to mass.

So by increase of force acceleration also increases.

Pete is driving down 7th street. He drives 0.150km in 18 seconds. Assuming he does not speed up or slow down, what is his speed in meters per second?​

Answers

Answer:

150m/s

Explanation:

0.150km to m is multiplying by 1000.

If the average hang time of a professional football kick is 4.4s, then determine the average maximum height.

Answers

The average highest height of a professional football kick is 189.728 m if the hang time is 4.4 seconds on average.

What is meant by hang time?

A person or an object's total duration in the air after leaving the ground is known as their "hang time." From the time anything leaves the ground until it returns, it is measured.

We know,

y= gt²

Here,

y = Average maximum height

g = acceleration due to gravity

t = Average hang time

Given,

Average hang time (t) = 4.4s

Acceleration due to gravity (g) = 9.8 m/s² (assuming)

Inserting these values in the given equation,

y = gt²

  = 9.8×4.4×4.4

  = 189.728 m.

Hence, the average maximum height of the football is 189.728 m.

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nozz 12. Figure P14.43 shows a stream of water in steady flow from a kitchen faucet. At the faucet the diameter of the stream is 0.960 cm. The stream fills a 125-cm3 container in 16.3 s. Find the diameter of the stream 13.0 cm below the opening of the faucet.​

Answers

The diameter of the stream below the opening of the faucet is 1.94 cm.

How to find diameter?

The diameter of the stream can be found using the formula for the velocity of steady flow in a cylindrical stream:

v = Q / (πr²)

Where Q is the volume flow rate (volume per time), v is the velocity, and r is the radius of the stream.

By rearranging this equation and using the known values of the volume and time, find the radius of the stream 13.0 cm below the opening of the faucet:

r² = Q / (πv) = (125 cm³) / (π x (13.0 cm)² / 4)

r = √(125 / (π x (13.0 cm)² / 4)) = 0.97 cm

2r = 2 x 0.97cm = 1.94 cm

So the diameter of the stream 13.0 cm below the opening of the faucet would be 1.94 cm.

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The picture shows two solutions of salt water. Which solution is more concentrated (has a higher concentration)?




Question 15 options:

The first solution is more concentrated


The second solution is more concentrated


The solutions have the same concentration.

The picture shows two solutions of salt water. Which solution is more concentrated (has a higher concentration)?Question

Answers

In order to determine which of the two solutions of salt water is more concentrated, we need to first understand what concentration means and how it is measured. Concentration refers to the amount of solute dissolved in a given amount of solvent. It is typically measured in units of mass per volume, such as grams per liter (g/L) or milligrams per milliliter (mg/mL). so The second solution is more concentrated

When comparing the concentration of two solutions, the one with a higher concentration has more solute dissolved in the same amount of solvent. Therefore, in the picture provided, we can determine which solution is more concentrated by looking at the relative amounts of solute in each solution.If the solutions have the same concentration, then they must have the same amount of solute dissolved in the same amount of solvent. From the picture, we can see that both solutions are in the same size container and have the same amount of solvent (water) in them. Therefore, we can conclude that they have the same concentration of salt.The amount of solute dissolved in a solution can be increased by either adding more solute or by reducing the amount of solvent. If we were to add more salt to one of the solutions, we would increase the concentration of that solution. Alternatively, if we were to evaporate some of the water from one of the solutions, we would reduce the amount of solvent and increase the concentration of that solution.

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How are magnetic fields like vectors?

Answers

Answer:Magnetic fields from two sources add up as vectors at each point, so the strength of the field is not necessarily the sum of the strengths1. Magnetic fields are vectors, which means they have direction as well as size. Therefore, the sum of two magnetic fields is not simply the sum of their magnitudes2.

Explanation:

Where should be the best fit line be drawn on a scatterplot?
A. In the center of the data
b. below the data
c. above the data.
d. none of these​

Answers

A line of best fit is a straight line drawn through the most points on a scatter plot, with an equal number of points above and below the line. It is used to investigate the nature of the relationship between two variables. The correct option is d.

What is line of best fit?

A straight line with the best fit is one that minimizes the distance between it and some data.

In a scatter plot of varying data points, the line of best fit is used to express a relationship. It is a result of regression analysis and can be used to forecast indicators and price movements.

It is important to note that your line does not need to pass through any of the points on the plot; it only needs to bisect the area that contains the data points.

Thus, none of the options are correct, the correct one is d.

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Two plastic balls suspended by strings are placed close to each other. If they have the same charge, how will they interact with each other?


Answers

Answer:

THEY WILL REPEL

Explanation:

THEY'LL MOVE IN OPPOSITE DIRECTIONS

Two people stand a distance L apart along an east-west road. They both clap their hands at precisely noon in the ground frame. You are driving eastward down this road at speed 4c/5. You notice that you encounter the western person at the same instant (as measured in your frame) that the eastern person claps. Where are you along the road at the instant (as measured in your frame) that the western person claps?

Answers

Answer:

Location along the road = 9/15 L

Explanation:

speed eastward = 4c/5

distance between people standing = L

Location along the road at the instant the western person claps =

= 5/3 L - 16/5 L = 9/ 15 L

attached below is a detailed solution

Two people stand a distance L apart along an east-west road. They both clap their hands at precisely


Which example best describes Newton's third law of motion?

F
When a glass slid across a table, it spilled water when it stopped suddenly.

G
An engine used less work to move a lighter car than when it moved a heavier car.

H When a passenger stepped from a boat to the shore, the boat moved away from the shore .

Answers

The best example of Newton's third law of motion is, When a passenger stepped from a boat to the shore, the boat moved away from the shore. Thus, option C is correct.

Sir Issac Newton gives three laws of motion. The first law states that an object remains at rest or in continuous motion unless an external force acted on it. The second law stated that the force is directly proportional to the acceleration of the object. Newton's third law states that, for every action, there is an equal and opposite reaction.

From the given, Newton's third law is applicable, When a passenger stepped from a boat to the shore, the boat moved away from the shore. This shows the action and reaction of the boat and shore.

Thus, the ideal solution is option C.

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How many protons, electrons, and neutrons are there in the following atoms and ions?

How many protons, electrons, and neutrons are there in the following atoms and ions?

Answers

Answer:

19 protons, 20 neutrons and 18 electrons.

Explanation:

The atomic number gives the number of protons 19

p

=

19

The atomic mass is the sum of the protons and neutrons

p

+

n

=

39

p

=

19

put p into the equation and solve for n the neutrons.

19

+

n

=

39

Subtract 19 from both sides

19

19

+

n

=

39

19

n

=

20

The number of electrons equals the number of protons in a neutral atom. The positive charge equals the negative charge. The negative charge is the number of electrons. This ion has a charge of +1. So solve for the negative charge.

19

+

1

=

18

The negative charge is -18 so

e

=

18

An object is moving with an initial velocity of 5.5m/s.It is then subject to a constant acceleration of 2.5 m/s for 11s. How far will it have traveled during the time of its acceleration?

Answers

The distance traveled by the object during the time of acceleration is 211.75 m.

What is distance?

Distance can be defined as the total lenght between two points.

T o calculate the distance traveled by the object during the time of acceleration, we use the formula below.

Formula:

s = ut+at²/2............ Equation 1

Where:

s = Distanceu = Initial velocitya = Accelerationt = Time

From the question,

Given:

u = 5.5 m/st = 11 sa = 2.5 m/s²

Substitute these values into equation 1

s = (5.5×11)+(2.5×11²)/2s = 60.5+151.25s = 211.75 m

Hence, the distance traveled by the object is 211.75 m.

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laws of motion notes​

Answers

Newton's Laws of motion are: an object at rest remains at rest, and an object in motion remains in motion at constant speed and in a straight line. The acceleration of an object is determined by its mass and the amount of force applied. When one object applies a force to another, the second object applies an equal and opposite force to the first.

What are Newton’s Laws of Motion?

Sir Isaac Newton contributed to physics and mathematics in a variety of ways. At the age of just 23, he created the theories of gravitation in 1666. In the "Principia Mathematica Philosophiae Naturalis," published in 1686, he presented his three laws of motion.

Newton revolutionised science by formulating his three laws of motion. Planets move in elliptical orbits as opposed to circles because of Newton's laws and Kepler's laws.

Newton's Laws of motion are

An object at rest remains at rest, and an object in motion continues to move in a straight line at a constant speed unless it is affected by an unbalanced force. The mass of an object and the strength of the applied force determine its acceleration. When one object exerts force on another, the second object exerts a force that is equal to and opposing that exerted by the first object.

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Think about times in your life when you have used your refusal, negotiation, and conflict resolution skills

Answers

Okay I will thanks rlly got me thinking about life

The combined mass of Maggie and her snowmobile is 326 kg. In an attempt to chase her brother Jason, she accelerates from 6.6 m/s to 25.9 m/s in a time of 18.0 seconds

Answers

The acceleration of the combined mass of Maggie and her snowmobile will be 1.072 meters per second square.

What is the equation of motion?

If the acceleration is constant throughout the motion. Then the equation of the motion is given as,

v = u + at

Where 'v' is the final velocity, 'u' is the initial velocity, 't' is the time, and 'a' is the acceleration.

In an attempt to chase her brother Jason, she accelerates from 6.6 m/s to 25.9 m/s in a time of 18.0 seconds.

Then the acceleration is calculated as,

25.9 = 6.6 + a(18)

18a = 19.6

a = 1.072 meters per second square

The acceleration of the combined mass of Maggie and her snowmobile will be 1.072 meters per second square.

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A rope pulls a Tesla out of mud. The guy pulls a force F⊥ of 300N, and theta = 4.2°. The tension force T is ___ Newton.

A rope pulls a Tesla out of mud. The guy pulls a force F of 300N, and theta = 4.2. The tension force

Answers

A rope pulls a Tesla out of mud. The guy pulls a force F⊥ of 300N, and theta = 4.2°. The tension force T is 298.44__ Newton.

The problem describes a Tesla that is stuck in the mud and needs to be pulled out using a rope. the guy pulls a force F⊥ of 300N and that the angle between the rope and the horizontal plane is θ = 4.2°. The goal is to find the tension force T exerted by the rope.To solve for T, we'll need to use trigonometry. We can break the force vector into its horizontal and vertical components as follows:

Fx = F⊥ cosθ and Fy = F⊥ sinθ.

Since the rope is pulling the Tesla horizontally, the horizontal component of the force will be the tension force T. So we have:

T = Fx = F⊥ cosθ = (300 N) cos(4.2°) ≈ 298.44 N

Taking the cosine of the angle is necessary since it's the adjacent side that we're interested in, which is the horizontal component of the force. Therefore, the tension force exerted by the rope is approximately 298.44 N.

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An ant travels toward the right along a meter stick. If it starts at the 25.00 cm mark and then travels to the 80.00 cm mark, what is its displacement?

Answers

displacement = 55 cm.Initial position = 25 cm,Final position = 80 cm,Displacement = final position-finitial position,Putting values in above formula,D = 80 cm - 25 cm,D = 55 cm,It means that the displacement of the ant is 55 cm.

What distinguishes displacement from distance?

Distance is the length of any path connecting any two places.As measured along the shortest path between any two points, displacement is indeed the direct distance between them.The direction is ignored when calculating distance.

Displacement: Is it a distance?

Displacement is just the distance between an object's starting point and its final location, whereas distance is indeed the length of an object's path.

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Consider the circuit in Figure 5 with e(t) = 12sin(120pit) V. When S1 and S2 are
open, i leads e by 30°. When SI is closed and S2 is open, i lags e by 30°. When S1 and S2 are closed, i has an amplitude 0.5A. What are R, L, and C?

Consider the circuit in Figure 5 with e(t) = 12sin(120pit) V. When S1 and S2 areopen, i leads e by 30.

Answers

Based on the information, it should be noted that the resistance R is 0.5 Ω.

How to calculate the resistance

When S1 and S2 are open, i leads e by 30°. In this case, the circuit consists of only the inductor (L) and the capacitor (C) in series. Therefore, the impedance of the circuit can be written as:

Z = jωL - 1/(jωC)

Since i leads e by 30°, we can express the phasor relationship as:

I = k * e^(j(ωt + θ))

Z = jωL - 1/(jωC) = j(120π)L - 1/(j(120π)C)

Re(Z) = 0

By equating the real parts, we get:

0 = 0 - 1/(120πC)

Let's assume that there is a resistance (R) in series with the inductor and capacitor. The impedance equation becomes:

Z = R + jωL - 1/(jωC)

Z = R + jωL

Im(Z) = ωL > 0

Substituting the angular frequency and rearranging the inequality, we have:

120πL > 0

L > 0

This condition implies that the inductance L must be greater than zero.

When S1 and S2 are closed, i has an amplitude of 0.5 A. In this case, the impedance is:

Z = R + jωL - 1/(jωC)

Since the amplitude of i is given as 0.5 A, we can express the phasor relationship as:

I = 0.5 * e^(j(ωt + θ))

By substituting this phasor relationship into the impedance equation, we can determine the value of R. The real part of the impedance must be equal to R:

Re(Z) = R

Since the amplitude of i is 0.5 A, the real part of the impedance must be equal to 0.5 A: 0.5 = R

Therefore, the resistance R is 0.5 Ω.

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For a specific gas, how does its emission spectrum relate to its absorption spectrum?

a) Bright lines in its emission spectrum have different wavelengths than the dark lines of its absorption spectrum.
b) They do not relate directly.
c) Dark lines in its emission spectrum have the same wavelengths as the bright lines of its absorption spectrum.
d) Bright lines in its emission spectrum have the same wavelengths as the dark lines of its absorption spectrum.

Answers

Bright lines in its emission spectrum have the same wavelengths as the dark lines of its absorption spectrum. Hence, option (d) is correct.

What are emission spectrum and  absorption spectrum?

The electromagnetic radiation spectrum that is emitted when an atom or molecule changes from a high energy state to a lower energy state is known as the emission spectrum of a chemical element or chemical compound.

Absorption spectrum: An electromagnetic spectrum where a drop in radiation strength at particular wavelengths or ranges of wavelengths indicative of an absorbing substance (such as chlorophyll) is particularly visible as a pattern of dark lines or bands, in contrast to emission spectrum.

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proof(how this formula comes )
vector
u.v=|u||v|cosβ

Answers

The formula you mentioned is known as the dot product formula or the scalar product formula. It is used to find the angle between two vectors u and v.

Let's start by defining the vectors u and v. Suppose we have two vectors u and v in a two-dimensional space.

u = (u1, u2)

v = (v1, v2)

The dot product of these vectors is defined as:

u . v = |u| |v| cos(β)

where |u| and |v| are the magnitudes of the vectors u and v respectively, and β is the angle between the vectors u and v.

Now, let's derive this formula. The dot product of two vectors u and v is given by:

u . v = (u1 × v1) + (u2 × v2)

The magnitude of a vector is given by:

|u| = sqrt(u1² + u2²)

|v| = sqrt(v1² + v2²)

We can use the dot product and magnitude equations to obtain:

cos(β) = (u . v) / (|u| × |v|)

Multiplying both sides by |u| × |v| gives us:

|u| × |v| × cos(β) = u . v

Therefore, we have derived the dot product formula:

u . v = |u| × |v| × cos(β)

This formula can be used to find the angle between two vectors u and v in any two-dimensional or three-dimensional space.

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The complete question is-

Write the proof of the formula

u.v=|u||v|cosβ

What is evidence used by Galileo to disprove Aristotle and Ptolemy?

Answers

Galileo challenged the Aristotelian-Ptolemaic model, providing support for the heliocentric model and paving the way for a new understanding of the universe.

Galileo Galilei played a crucial role in challenging the prevailing geocentric model of the universe proposed by Aristotle and supported by Ptolemy. He provided several lines of evidence that effectively disproved their theories and supported the heliocentric model proposed by Nicolaus Copernicus. Some of the key evidence used by Galileo includes:

1. Observations through a telescope: Galileo was one of the first astronomers to use a telescope to observe the heavens. His telescopic observations revealed several important discoveries that contradicted the Aristotelian-Ptolemaic worldview. He observed the phases of Venus, which demonstrated that Venus orbits the Sun and not Earth. He also observed the four largest moons of Jupiter, now known as the Galilean moons, which provided evidence for celestial bodies orbiting a planet other than Earth.

2. Sunspots: Galileo's observations of sunspots provided evidence that the Sun is not a perfect celestial body, as suggested by Aristotle. Sunspots indicated that the Sun has imperfections and undergoes changes, challenging the notion of celestial perfection.

3. Mountains on the Moon: Galileo observed the rugged and uneven surface of the Moon, which contradicted Aristotle's belief in celestial spheres made of perfect, unchanging material. The presence of mountains on the Moon suggested that celestial bodies are subject to the same physical laws as Earth.

4. Phases of Venus: Galileo's observations of the phases of Venus provided direct evidence for the heliocentric model. As Venus orbits the Sun, it goes through phases similar to the Moon, ranging from crescent to full. This observation strongly supported the idea that Venus revolves around the Sun.

These lines of evidence presented by Galileo challenged the Aristotelian-Ptolemaic model, providing support for the heliocentric model and paving the way for a new understanding of the universe. His work marked a significant turning point in the history of science and laid the foundation for modern astronomy.

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CORRECT ANSWER GETS BRAINLIEST

CORRECT ANSWER GETS BRAINLIEST

Answers

Answer:

Wax melts as it absorb heat from flame

Explanation:

To know which option is correct, it is important that we know what chemical changes and physical changes are all about.

Chemical change is a change in which the process is not easily reversed and it produces new substance.

Physical change is more like the opposite of chemical change. In this change, the process is easily reversed and no new substance is produced.

Considering the options given above,

1. Iron combines with oxygen to produce rust is a chemical change since a new substance (rust) is formed and we can not reverse the process to get back iron and oxygen.

2. Wax melts as it absorb heat from flame is a physical change since no new substance is formed and we obtained the wax by allowing it to solidified.

3. Pure sodium explodes when dropped in water is a chemical change because we can not reverse the process to get back the sodium.

4. Glucose molecules are produced in plant leaf is also a chemical change.

From the illustrations above, it is evident that: 'Wax melts as it absorb heat from flame' is not a chemical

A TWO WHEEL DRIVE TRACTOR MOVING FOWARD AND TURNS SHARP TO THE LEFT AROUND A CORNER. WHICH WHEEL WILL TURN SLOWEST

Answers

The tractor is in linear motion but the wheels of the tractor are in rolling motion.

When the sudden turn comes then it wants to continue in rolling motion due to conservation of angular momentum.

But the angular momentum is applied and due to inertia, the weight and friction shifts on the bigger wheels causing difference in the angular speed.

Thus, the bigger rear wheels of the tractor rotate more slowly as compared to front small wheels because the bigger wheels have greater moment of inertia due to their mass as compared to front small wheels. That’s why the rear wheels are bigger than the front wheels.

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A TWO WHEEL DRIVE TRACTOR MOVING FOWARD AND TURNS SHARP TO THE LEFT AROUND A CORNER. WHICH WHEEL WILL

Cheetah mothers perform a number of different behaviors. They and their cubs stay in one place for only four days, moving on before they leave too strong a smell behind in one area. They also expend time and energy teaching their cubs to hunt successfully. In one or two sentences, explain how these behaviors affect cheetah reproductive success.(2 points)

Answers

Answer:

Cheetah cubs are in danger from predators like lions and hyenas which can track their prey by scent and so the mother and her cubs leave an area when their scent is too strong so that they are not hunted and the cubs survive.

Mother Cheetahs also train their cubs to hunt so that they may get food for themselves which will ensure their survival as well thus showing that both of these practices can impact on reproductive success.

Two wheels with identical moments of inertia are rotating about the same axle. The first is rotating clockwise at 2.0 rad/s, and the second is rotating counterclockwise at 6.0 rad/s. If the two wheels are brought into contact so that they rotate together, their final angular velocity will be

Answers

Answer:

w = 2 rad / s  counterclockwise

Explanation:

This is an exercise in angular momentum, we define a system formed by the two wheels in such a way that the torques during contact have been internal and the angular moeoto0o is conserved

            L₀ = L_f

We assume that the counterclockwise rotations are positive, let's look for the initial moment before the collision

           L₀ = I w₁ + I w₂

where the angular velocity of the first wheel is w₁ = - 2.00 rad / s and the angular velocity of the second wheel is w₂ = 6.0 rad / s

As the wheels collide and remain in unity, the final angular momentum after the collision

            I_total = 2 I

            L_f = I_total w

we substitute

            I w₁ + I w₂ = I_total w

            w = \(\frac{I w_1 + Iw_2}{I_{total} }\)

             w = \(\frac{I \ (w_1+w_2)}{2 \ I}\)

             w = \(\frac{w_1 +w_2}{2}\)

let's calculate

             w = \(\frac{-2.0 + 6.0}{2}\)

             w = 2 rad / s

the positive sign indicates that the rotation is counterclockwise

The final angular velocity will be 2 rad /s counterclockwise. The pace of transition of angular displacement is described as angular velocity.

What is angular velocity?

The rate of change of angular displacement is defined as angular velocity and it is stated as follows:

ω = θ t

The given data in the problem is;

\(\omega_1\) is the angular velocity of wheel 1= 2.0 rad/s

\(\omega_2\)  is the angular velocity of wheel 2= 6.0 rad/s

\(\rm \omega_f\)  is the final angular velocity=?

As the wheel collides the initial momentum is equal to the final momentum;

Momentum before collision

\(\rm L_0 = I \omega_1 + I \omega_2\)

Momentum after the collision when the two-wheel becomes one wheel;

\(\rm \I_ {total }= 2 I \\\\ L_f= I_{total}\omega \\\\\)

From the conservation of momentum principle;

\(\rm L_i = L_f \\\\ I \omega_1 + I \omega_2 = I_{total}\omega \\\\ \rm \omega= \frac{ I \omega_1 + I \omega_2 }{2I} \\\\ \omega = \frac{\omega_1 + \omega_2}{2} \\\\\)

\(\omega=\frac{-2.0+ 6.0}{2} \\\\ \omega=2\ rad/sec\)

Hence the final angular velocity will be 2 rad /s counterclockwise.

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QUESTION 5 (Start on a new page.) A block of mass 4 kg starting from rest, at point A, slides down an inclined plane of length 3 m as shown in the diagram below. The plane is inclined by an angle of 30° to the ground. The coefficient of kinetic friction (p) is 0,2 on the inclined plane 5.2 4 kg 5.3 3 m. 30 At the bottom of the inclined plane, at point B, the object slides along a rough horizontal surface experiencing a kinetic frictional force of 19.6 N until it comes to rest at point C 5.1 B State the work-energy theorem in words. Draw a labelled free-body diagram for the block as it slides down the incline. Calculate the: 5.3.1 Kinetic frictional force the block experiences on the incline 5.3.2 Magnitude of the velocity of the block at point B 5.3.3 Distance that the object will slides on the rough horizontal surface until it stops (2) (3) (4) (5) (4) [18]​

Answers

1 Therefore, the kinetic frictional force experienced by the block on the incline is 6.784 N.

2 The magnitude of the velocity of the block at point B is approximately 5.11 m/s.

How to calculate the value

1. The formula for the kinetic frictional force is given by f = μN, where μ is the coefficient of kinetic friction and N is the normal force. Since the block is on an incline, the normal force can be calculated as N = mg * cos(θ), where θ is the angle of inclination.

N = 4 kg * 9.8 m/s² * cos(30°) = 33.92 N

f = 0.2 * 33.92 N

= 6.784 N

2. Potential energy at point A = mgh, where h is the vertical height of the incline.

Potential energy at point A = 4 kg * 9.8 m/s² * 3 m * sin(30°)

= 58.8 J

The work done by friction is given by W = f * d, where d is the distance traveled along the incline (3 m).

Work done by friction = 6.784 N * 3 m = 20.352 J

Since the work done by friction is negative (opposite to the direction of motion), the total work done on the block is:

Total work = Potential energy at A - Work done by friction

Total work = 58.8 J - 20.352 J = 38.448 J

According to the work-energy theorem, this work done on the block is equal to the change in its kinetic energy. Therefore, we have:

38.448 J = 0.5 * 4 kg * B²

Solving for B, we find:

B = √(38.448 J / (0.5 * 4 kg)) ≈ 5.11 m/s

Therefore, the magnitude of the velocity of the block at point B is approximately 5.11 m/s.

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I’ve been struggling with this question, help!

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Answers

The masses of the two objects MA and MB in the binary system are 4 Mo respectively.

How can the masses of the binary systems be calculated?

The masses of binary systems can be calculated using Kepler's laws of planetary motion and observations of the system.

Let's denote the masses of the two objects as MA and MB, where MA is the mass of object A and MB is the mass of object B. We know that the total mass of the binary system is 8 Mo, so:

MA + MB = 8 Mo

We also know that the ratio of the distances between the two objects is 1/3. Let's denote the distance between the two objects as d, so we have:

d(A to B) / d(Binary System) = 1/3

We can simplify this equation by using the fact that the distances between the objects and the binary system add up to the total distance between the objects:

d(A to B) + d(B to binary system) = d(Binary system)

Since we know the ratio of the distances, we can substitute 1/3d for d(B to binary system):

d(A to B) + 1/3d = d(Binary system)

3d(A to B) + d = 3d(Binary system)

Substituting d(A to B) for d(Binary system) - d(B to binary system), we get:

3d(A to B) + d = 3(d(A to B) + d(B to binary system))

2d(A to B) = 2d(B to binary system)

d(A to B) / d(B to binary system) = 1

So the two objects are at the same distance from the binary system center of mass. This means that the masses of the two objects are equal:

MA = MB

Substituting this into the first equation, we get:

2MA = 8 Mo

MA = MB = 4 Mo

Therefore, the mass of each object is 4 Mo.

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