when driving downhill, gravity will cause you to go slower and decrease your stopping distance. a. true b. false

The magnitude of the electric field along the positive z axis due to the ring is equal to Ez = kqz/√(z² + a²)^{3/2}.

Given the following data:

Radius of ring = a.

Charge of ring = q.

Coulomb's constant, k = = 1/4πε₀.

An electric field can be defined as a region in which charged particles are placed with force being applied on the particle as a result of the field.

In order to determine the magnitude of the electric field along the positive z axis, we would apply Coulomb's law in order to find the electric field due to a point charge:

[tex]E = k\frac{q}{r^2}[/tex]

Where:

Note: The value of r is equal to √(z² + a²) and cosθ is equal to z/√(z² + a²).

Substituting the value of r into Coulomb's law, we have;

[tex]E = k\frac{q}{(\sqrt{z^2 + a^2}) ^2}[/tex]

Along the z-direction, the electric field is given by:

dz = dEcosθ

Integrating, we have:

∫dz = ∫dEcosθ

Ez = Ecosθ

[tex]E_z = (\frac{kq}{(\sqrt{z^2 + a^2}) ^2})\frac{z}{\sqrt{z^2 + a^2}} \\\\E_z = \frac{kqz}{(\sqrt{z^2 + a^2}) ^\frac{3}{2} }[/tex]

Ez = kqz/√(z² + a²)^{3/2}.

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Complete Question:

Consider a uniformly charged ring in the xy plane, centered at the origin. The ring has radius a and positive charge q distributed evenly along its circumference. What is the magnitude of the electric field along the positive z axis due to the ring? Use k in your answer, where k = 1/4πε₀

Answer:

Explanation:

In a series curcuit Current is divided across the resistors meaning the more you add resistors the more current is taken. The formula I= V/R also makes it easier to understand. The resistance is in the denominator. The more you increase it the more the current decreases.

Keep in mind Adding more resistors in a series curcuit reduc current.

The charge-to-mass ratio in the second case is 4 times less because of e/M = 0.96x10⁸ N.

The electron beam that travels from the negatively charged cathode to the positively charged anode at the opposite end of the vacuum tube is known as a cathode ray.

As the electron, J. J. Thomson showed that the same beam deflections resulted in tubes having cathodes made of different materials and containing various gases before evacuation.

The elect's load = 1.6x10⁻¹⁹ C

The mass = 9.1x10⁻³¹ kg

e/m = 1.6x10⁻¹⁹/ 9.1x10⁻³¹ = 0.1 758 10 10¹² N

The homogenize has an electron of charge of 1.6x10⁻¹⁹ C

The mass M = 1.673x10⁻²⁷ ka

e/M = 1.6x10⁻¹⁹/1.67x10⁻²⁷ = 0.96x10⁸ N

In the second case, it is 4 times less

Thus, the charge-to-mass ratio in the second case is 4 times less because of e/M = 0.96x10⁸ N.

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The distance below the center of the board where the dart hits is 0.00056 m.

The distance below the center of the board reached by the dart is calculated as follows;

v² = u² + 2gh

where;

The initial vertical velocity of the dart = 0

v² = 0² + 2gh

v² = 2gh

h = v² /2g

h = (v sinθ)²/2g

where;

h = (1.2 x sin355)²/(2 x 9.8)

h = 0.00056 m

Thus, the distance below the center of the board where the dart hits is 0.00056 m.

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Answer:

1. A

2. D

3. B

4. C

Explanation:

1. A- Aristotle thought that the Earth was flat and that anyone who sailed off the edge of the ocean would fall of Earth, this theory of course later got disproved by Kepler and other scientists

2. D- Kepler suggested the modern model of the Solar System because after months and months of looking out the telescope and making models of the Solar System, Kepler finally made the conclusion of the official Solar System.

3. B- Egyptians thought did not move and all the planets, including the sun revolved around it. Later, Kepler disproved this theory with the modern Solar System.

4. C- This is the path that planets follow to revolve around the Sun. People first thought that planets moved in a circular motion but actually they moved in a ellipse because the Sun's gravity pulled planets closer at some parts more than others.

The force on each balloon is 2×10^−3 N.

Consider two balloons of diameter 0.200m each with a mass of 1.00g hanging apart with 0.0500m separation on the ends of string making angles of 10.0° with the vertical.

[tex]\sum F_{y} = Tcos10\textdegree - mg = 0\\\\T = \frac{mg}{cos10\textdegree } \\\\\sum F_{y} = Tsin10\textdegree - mg = 0\\[/tex]

So,

[tex]F_{e} = \frac{mg}{cos10\textdegree }sin10\textdegree = mgtan10\textdegree \\\\= (0.00100kg)(9.8m/s^{2})tan10\textdegree \\\\F_{e} = 2 \times 10^{-3}N[/tex]

A force is an influence that can change the motion of an object. A force can cause an object with mass to change its velocity (e.g. moving from a state of rest), i.e., to accelerate. Force can also be described intuitively as a push or a pull. A force has both magnitude and direction, making it a vector quantity. It is measured in the SI unit of newton (N).

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Answer:

The farmer is moving at 10 m / 40 s = .4 m/s

2 min 20 sec = 140 sec

The farmer will have moved 140 * .4 = 56 m

To cover the x-axis twice he will have moved x = 10

56 - 50 = 6 m   and he will have moved a distance of 6 on the y-axis

S = (10^2 + 6^2)^1/2 = 11.7 m from the origin

Answer:

Analytical

Explanation:

The signal will travel into the space as far as 3.654 x 10^11 meters.

Speed is the distance travel by a body per time taken. Speed is a scalar quantity.

Suppose a radio signal travels from earth and through space at a speed of 3.0 × 108 m/s. how far into space did the signal travel during the first 20.3 minutes?

Speed V = distance / time

3 x 10^8 = s / 1218

s = 3 x 10^8 x 1218

s = 3.654 x 10^11 m

Therefore, the signal will travel into the space as far as 3.654 x 10^11 meters.

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The net electric flux is not dependent on the volume of the cube and hence no change to the electric flux.

According to Gauss law, which states that the electric flux is defined as the electric field multiplied by the area of the surface in a plane perpendicular to the field.

Φ=Q ϵo

Where;

Q is enclosed charge

ϵo is the permittivity of the free space

According to the above gaussian relation, If the volume of the cube is doubled, then flux will neither be doubled or changed. It remains the same. This is because there is no direct relationship between the total flux and volume of the cube in the electric field. This means that there is no change to the electric flux.

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Answer:Never stand or move around while music is being performed.

Explanation:

The best advice Marta’s supervisor could give her regarding the long answers she is giving is to adapt her communication style (option D).

Communication is the concept or state of exchanging data or information between entities.

A communication is said to be effective when the information passed across is perfectly understood by the recipient.

According to this question, Marta gives long and involved answers to every question, even simple ones. She also uses technical vocabulary even if the people she is talking to do not understand it.

This means that the best advice Marta’s supervisor could give her regarding the long answers she is giving, so as to communicate effectively, is to adapt her communication style.

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The average velocity or displacement of a particle for the first time interval is Δs / Δt = 6 cm/s.

Solution:

As we know that displacement is calculated in centimeters and the unit of time is second.

The average velocity for the first interval [1,2] is given

Δs / Δt = s (t2) - s (t) / t2 - t1

Δs / Δt = 2sin2  π  + 3cos 2 π -  ( 2sin π + 3cos π ) / 2 - 1

Δs / Δt = 2(0) + 3(1) - 2(0) - 3 (-1) / 1

Δs / Δt = 6 cm/s

Thus the average velocity or displacement of a particle for the first time interval is Δs / Δt = 6 cm/s

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The complete question is:

The displacement of a particle moving back and forth along a line is given by the following equation s(t) = 2sin π t + 3cos π t. Estimate the instantaneous velocity of the particle when t = 1

The block's third dimension is 2.77 cm.

The mass of the osmium block is 1 kg.

The dimensions of the rectangular osmium block are 4 cm × 4 cm.

Density is defined as the mass of the object by the volume of the object.

density = mass / volume

Now, the volume of a rectangle is:

Volume = length × breadth × height

And now let's assume that the block's height is y.

Then,

Volume = length × breadth × height

Volume = 4 cm × 4 cm × y cm

Osmium now has a density of ρ = 22.57 g/cm³.

Therefore, the density of the rectangular osmium will be:

density = mass / volume

[tex]\rho = \frac{1{~}kg}{4{~}cm {~}\times {~}4{~}cm {~}\times {~} y}[/tex]

[tex]22.57 {~}g/cm^{3}=\frac{1000{~}g}{4{~}cm \times 4{~}cm \times y}[/tex]

[tex]16{{~}cm^{2} \times y{~} =\frac{1000{~}g}{22.57{~} g/cm^{3}}[/tex]

16y cm² = 44.31 cm³

Dividing each side of the equation by 16 cm²,

( 16y cm² ÷ 16 cm²) = ( 44.31 cm³ ÷ 16 cm² )

y = 2.77 cm

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The complete question is mentioned below:

The density of osmium is 22.57 g/cm³. If a 1.00kg rectangular block of osmium has two dimensions of 4.00 cm x 4.00 cm, calculate the third dimension of the block.

35 kilometers per hour is equivalent to 9.73 metres per seconds.

Speed is the rate of distance that is traversed in a given time. It can be calculated by dividing the distance moved by the time taken as follows:

Speed = distance/time

Speed can be measured in the following units;

The conversion factor of kilometers per hour to metres per seconds is as follows:

1 kilometre per hour = 0.278 metre per second

35 kilometers per hour = 9.73 metres per seconds

Therefore, 35 kilometers per hour is equivalent to 9.73 metres per seconds.

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The correct responses are;

1) The velocity is 15.0 m/s

2) The net force is 25 N and the acceleration is 1.25 m/s/s due east.

3) The distance covered is 63 m

4) The kinetic energy is  900000 J.

5) The greatest momentum is displayed by a baseball hit with a net force of 10.0 N for 3.0 s

6) The force is now is  one-ninth of the original amount.

7) The data that Carter and Sam want to find out is the  Instantaneous speed

8) The appropriate formula is change in velocity/change in time

The term momentum has to do with the product of the mass and the velocity of a body.

1) We know from the principle of the conservation of momentum that the momentum before collision is the equal to the magnitude of the momentum after Collison in a closed system thus;

3.4 *  23.9 m/s = (3.4 + 2) v

v = 3.4 *  23.9 m/s / (3.4 + 2)

v = 15.0 m/s

2) Mass of the box = 196/9.8 = 20 Kg

The net force that acts on the box = 75 N - 50 N = 25 N

Acceleration =  25 N/ 20 Kg

= 1.25 m/s/s due east.

Thus, the net force is 25 N and the acceleration is 1.25 m/s/s due east.

3) v^2 = u^2 - 2as

v = 0 m/s

u^2 = 2as

s = u^2/2a

s = (25 m/s )^2/ 2 *  5 m/s2

s = 63 m

The distance covered is 63 m

4) Kinetic energy = 1/2 mv^2 = 0.5 * 2000 * (30)^2

=  900000 J

The kinetic energy is  900000 J.

5) The greatest momentum is displayed by a baseball hit with a net force of 10.0 N for 3.0 s

6) The new magnitude of the force between them is  one-ninth of the original amount.

7) The data that Carter and Sam want to find out is the  Instantaneous speed

8) The formula that should be used is change in velocity/change in time.

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Hence , the rise and fall of the amplitude of the sound causes the variation from loud to soft .

The variation from loud to soft sound created by a twin-engine craft may be explained by the idea of formation of beats.

When 2 sound waves of nearly equal frequencies square measure created at the same time, then the intensity of the resultant sound created by their superposition will increase and reduces as an alternative with time. This increase and reduce within the intensity of sound square measure referred to as the development of beats.

Let us suppose that at a specific time the 2 waves of slightly totally different frequencies square measure in section, i.e. the crest of the primary wave falls on the crest of the second wave, thus at this point the resultant amplitude is most, therefore we tend to hear a louder sound. however since there's a small variation in frequencies there comes a time once the 2 waves square measure out of section, I.e. the crest of 1 wave falls on the trough of the opposite, here the resultant amplitude becomes zero and that we hear no sound. This rise and fall of amplitude continue and what we tend to hear could be a beat. Similar is that the case in an exceedingly twin-engine craft which ends within the variation of loud and soft sound.

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No, the speed does not depend on position, it depends on the change of position.

An item can start at x = -3 and be moving by the time it reaches x = 0 since we know that the displacement is independent of the coordinate system's origin.

Speed is characterized as the rate at which an object's position changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity. Speed is defined as s = distance/time.

There are four different forms of speed.

constant speed

varying speed

typical speed

Instantaneous speed

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The possible hypothesis "different masses of objects fall to the ground at different rates" is a tenable hypothesis.

Thus, A reasonable explanation for an observation is a hypothesis. Every experiment begins with the formulation of a hypothesis. The experiment would now either support or refute the theory that has been proposed.

Remember that an experiment requires both an independent and a dependent variable. The dependent variable is the one that changes when the independent variable changes, but the independent variable is the one that we must keep manipulating.

In this situation, "different masses of objects fall to the ground at different rates" is a tenable hypothesis.

Thus, The possible hypothesis "different masses of objects fall to the ground at different rates" is a tenable hypothesis.

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The acceleration of the car is 0.8049[tex]m/s^{2}[/tex].It takes 13.802s to travel the 230 m.

In mechanics, acceleration refers to the rate at which an object's velocity with respect to time varies. Acceleration is a vector quantity (in that they have magnitude and direction). The direction of an object's acceleration is determined by the direction of the net force acting on it. Newton's Second Law states that the combined effect of two factors determines how much an item accelerates: 

(i) It follows that  the magnitude of the net balance of all external forces acting on the object is directly proportional to the magnitude of this net resulting force, and

(ii) the mass of the thing, depending on the materials out of which it is constructed, is inversely proportional to the mass of the thing.

Calculations:

40 km/hr ----- 11.11m/s

80 km/hr ----- 22.22m/s

[tex]v^{2} -u^{2} =2as\\22.22^{2} - 11.11^{2} = 2 x a x 230\\ 370.296=460a\\ a= 0.8049m/s^{2} \\[/tex]

Time taken

v-u=at

22.22-11.11= 0.8049 x t

t=13.802s

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If a car slows down from +32 meters / seconds  to +8 meters / seconds in 4 seconds, then the acceleration of the car would be  -6 meters / second².

The rate of change of the velocity with respect to time is known as the acceleration of the object.

We can calculate the acceleration of the car by using the first equation of motion,

v = u +at

8= 32 + a×4

a =8-32 / 4

a = -6 meters / second²

Thus, the acceleration of the car would be -6 meters / second².

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The angle θ is 36.3° and the angle ϕ is 26.4°.

A vector quantity is a quantity having both magnitude and direction.

To add vector quantities and get their resultants, we need to apply the parallelogram law of vector addition

Let A and B are two vectors and C is their resultant, then according to the parallelogram law

C^2 = A^2 + B^2 + 2ABcosθ, where  θ is the angle between the two vectors

On applying the parallelogram law in the given diagram,

(40)^2 = 30^2 + 60^2 - 2(30)(60)cosθ

Θ = 36.3°

And

30^2 = 40^2 + 60^2 - 2(40)(60)cosϕ

Φ = 26.4°

Thus, the angle θ is 36.3° and the angle ϕ is 26.4°.

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It does not violate the principle of  relativity because the speed of the electron in water can explained as its relative speed with water.

The principle of relativity states that there is no physical way to differentiate between a body moving at a constant speed and an immobile body.

If the speed of light in water is 230Mm/s and an electron is moving through water at 250 Mm/s, it does not violate the principle of  relativity because the speed of the electron in water can explained as its relative speed with water.

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When a wave encounters an obstacle or a slit that is comparable in size to its wavelength, it bends around it. This characteristic is called diffraction.

The term 'diffraction' was coined by an Italian scientist named Francesco Grimaldi Maria in 1660 when she first recorded accurate observations of this phenomenon. Diffraction is a wave phenomenon that describes the bending of waves when it encounters an obstacle or a slit. It is more pronounced when the obstacle or slit the wave encounters is in comparable size to its wavelength.

Diffraction occurs in all waves, including light, water waves, sound waves, electromagnetic waves like X-rays and even gravitational waves. In recent years, it has been observed that matter also demonstrates this wave-like property, but only at the atomic and subatomic level.

Diffraction can be observed in everyday life. The rainbow pattern seen on CDs and DVDs is as a result of diffraction of light. It can also be observed in ocean waves as they diffract around rocks, jetties and other obstacles.

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The clock in the kitchen downstairs is slower than the clock in the bedroom upstairs

A major idea that we could glean from relativity is that there are no absolutes in the universe. Everything in the universe depends on which frame of reference we are. Observations may differ depending on the frame of reference of the observer.

In the theory of Einstein, relativity comes in handy to clarify the distortion that is caused in time and space owing to matter in the universe as the basis for gravity.

We know that from the theory of relativity, the clock that is under the influence of a greater gravitational field would be slower. As such, the clock in the kitchen downstairs is slower than the clock in the bedroom upstairs because the clock in the kitchen downstairs is subjected to a greater gravitational field.

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Impoundment or dams are used to collect the water to enhance the amount of running water. Gravity is used to direct water down a pen stock pipe from a hole in the dam. The turbine is spun by the flowing water, and this rotation of the magnets inside the generator produces power.

Hydroelectric energy, also known as hydroelectric power or hydroelectricity, is a type of energy that uses the force of moving water to produce electricity, such as water running down a waterfall. This force has been utilized by people for ages. Greeks have been grinding wheat into flour for over 2,000 years by using flowing water to turn their mill's wheel.

The majority of hydroelectric power plants feature a water reservoir, a gate or valve to regulate the amount of water that flows out of the reservoir, and an outlet or location where the water ends up after flowing downstream. Just before water rushes over the top of a dam or cascades down a hill, it gains potential energy. Water flowing downhill changes potential energy into kinetic energy. When a turbine's blades are turned by water, electricity is produced and sent to the power plant's users.

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When the syringe is compressed the pressure spike to a value more than twice its initial value because the temperature of the gas increases.

Pressure is the force applied perpendicularly to an object's surface in relation to the area across which it is applied (symbol: p or P). Gauge pressure is the pressure when compared to the ambient pressure.

Various units are used to express pressure. The pound-force per square inch (psi), which is equal to one newton per square metre (N/m2) in the SI, is the standard unit of pressure in the imperial and U.S. customary systems. Some of these results derive from dividing a unit of force by a unit of area. The atmosphere, which is equal to this pressure, and the torr, which is defined as 1760 of this, are two other ways to describe pressure.

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Answer:

the action of taking out something, especially using effort or force.

Explanation: