two pennies lie on the surface of a turntable. as the turntable spins faster, which penny slides first?

Answers

Answer 1

As the turntable spins faster, the penny that is furthest from the turntable's centre will slide first.

Centripetal force increases as the turntable spins faster, exerting more force on the pennies. The centripetal force is proportional to the angular velocity squared and the angle of deflection from the turntable's centre. In other words, the penny that is farther away from the turntable's centre experiences a stronger centripetal force than the penny that is closer to it.

With the centripetal force, the frictional force between the pennies and the turntable likewise grows. Nevertheless, the coefficient of static friction—a feature of the surface where the pennies and turntable are placed—limits the frictional force. For the penny that is nearer to the turntable's centre than for the coin that is farther away, the coefficient of static friction

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Related Questions

Which is an example of electrical energy being transformed into thermal energy?

a wind turbine powering a town
an iron plugged into an outlet
a motor turning a wheel
a human eating a meal and running a 5k

Answers

An example of electrical energy being transformed into thermal energy is an iron plugged into an outlet. The correct option is B.

What is thermal energy?

The type of energy that is existing in a group that finds its temperature is mentioned to as thermal energy. Thermal energy flows as heat. Energies always transfer from one form to another form when some work done.

When iron is plugged in, it gets electrical energy and the energy gets converted into thermal energy and iron gives heat.

Therefore, the correct option is B. an iron plugged into an outlet.

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Therm is a unit that is generally used to measure the energy contained in natural gas.
True False

Answers

False. The unit used to measure the energy contained in natural gas is typically joules or cubic meters (m^3) of natural gas. The term "therm" is sometimes used as a unit of energy, but it is more commonly used to describe the amount of energy contained in 100,000 British thermal units (BTUs). In the United States, the therm is sometimes used to describe the amount of energy contained in 100 cubic feet of natural gas.

a 17-tooth spur pinion has a diametral pitch of 8 teeth/in, runs at 1172 rev/min, and drives a gear at a speed of 586 rev/min. find the number of teeth on the gear and the theoretical center-to-center distance.

Answers

Theoretical centre to centre distance will be 3.25 inch or 82.55 mm and Gear tooth = 35.

Circular pitch will remain same

P_c = [tex]\pi[/tex]D_p / Tp =  [tex]\pi[/tex]D_G / T_G

D_p / Tp =  D_G / T_G

T_G = D_G x T_p / D_p = 4.375  / 2.125 x 17

T_G = 35

Center-To-Center distance = pitch circle radius of prism + pitch circle radius of gear

= D_p / 2 +D_G / 2

= 1/2 (2.125 + 4.375)

= 3.25 inch

= 3.25 x 25.4 mm

= 82.55mm

Distance is a measure of the amount of space between two points. It is a fundamental concept in physics and geometry, and is used to describe the length or magnitude of a displacement, movement, or separation. Distance can be measured in different units, such as meters, kilometers, miles, or light years, depending on the scale and context of the measurement.

Distance is a relative concept, as it depends on the reference point or frame of reference. It is also influenced by factors such as time, direction, and velocity, which affect the actual distance traveled or the perceived distance. Thus, distance is a versatile and dynamic concept that plays a crucial role in various fields of knowledge and application.

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Given two integer variables distance and speed, write an expression that divides distance by speed using floating point arithmetic, i.e. a fractional result should be produced.- float(distance) / (speed)- float (children) / (families)

Answers

The expression for dividing distance by speed using floating point arithmetic is float(distance) / (speed).

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers, operations such as addition, subtraction, multiplication and division, and the properties of these operations. It is a fundamental component of mathematics, and it is essential for solving problems in everyday life. Arithmetic is used to calculate the cost of goods, to figure out measurements, to estimate taxes, and to perform many other calculations. Arithmetic is an important part of higher-level mathematics, such as calculus, and is often used to solve complex problems.

This expression produces a fractional result by using the float() function, which calculates a floating point value from the given argument (in this case, the integer value of distance). To apply this expression to different variables, simply replace distance and speed with the other variables (e.g. float(children) / (families)).

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How long will it take to get to the island 90km from the coast in a boat that travels 30km/m?

Answers

To find the time it will take to travel a certain distance at a certain speed, you can use the formula:

time = distance/speed

In this case, the distance is 90km and the speed is 30km/m.

So, time = 90km / 30km/m = 3m

Answer:

It will take 3 hours to get to the island 90km from the coast in a boat that travels 30km/m.

Answer:

The value of Time Will be

[tex]9minutes[/tex]

Explanation:

Greetings!!!

Given values:-

Distance (s)= 90km

Speed(V)= 30km/m

Required value:-

Time(t)= ?

Solution:-

But before that how did I know Time is required

So, from the given word problem it says "How long will it take" which means it's indicating the time period.

Firstly, recall speed-distance equation

[tex]speed = \frac{distance}{time} [/tex]

Substitute known variables into the equation

[tex]30km/m = \frac{90km}{t} [/tex]

Solve for time

[tex]30km/m(t) = 90km[/tex]

divide both sides of the equation by 30km/m

[tex] \frac{30km/m(t)}{30km/m} = \frac{90km}{30km/m} [/tex]

divide

[tex]t = 3m[/tex]

If you have any questions tag me on comments.

Hope it helps!!!

How much energy is released if 278 kg of aluminum cools from 698 K to 298 K?

Answers

Answer:

Explanation:

Q=278*126.85*900=31,737,870J

each different signal in a 1h nmr spectrum represents a different of hydrogen atom. hydrogen atoms that are give the same signal.

Answers

In a 1H NMR spectrum, different signals represent different types of hydrogen atoms. Hydrogen atoms in different chemical environments will have different resonant frequencies due to the local magnetic field they experience.

However, it is possible for hydrogen atoms in the same chemical environment to give the same signal. This occurs when they are in identical chemical environments and experience the same local magnetic field. In this case, they will have the same resonant frequency and contribute to the same peak or signal in the NMR spectrum. These hydrogen atoms are said to be chemically equivalent.

It is important to note that chemically equivalent hydrogen atoms do not have to be in the same molecule. For example, in a mixture of two different molecules with the same chemical environment, the hydrogen atoms in both molecules will contribute to the same NMR signal.

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a parallel-plate capacitor with vacuum between the two plates has the plate area (of one plate) being 0.753 m2 and the plate separation being 1.33e-4 m. if we use a battery to maintain a constant 2.85 v potential difference between the plates, what is the electric field strength between the two plates (in v/m)?

Answers

The electric field strength between the two plates of the parallel-plate capacitor is 2.135e4 V/m.

The electric field strength between the plates of a parallel-plate capacitor is given by:

E = V/d

where E is the electric field strength, V is the potential difference between the plates, and d is the separation between the plates.

In this case, the potential difference between the plates is 2.85 V, and the separation between the plates is 1.33e-4 m. Plugging these values into the formula, we get:

E = 2.85 V / 1.33e-4 m

= 2.135e4 V/m

Therefore, the electric field strength between the two plates of the parallel-plate capacitor is 2.135e4 V/m.

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Is the furnace an internal or external combustion engine

Answers

The detailed answer of this question is given below:

The furnace is an  internal                  combustion engine.

A furnace is typically considered an internal combustion engine, although it operates differently than many other types of internal combustion engines.

In a furnace, fuel is burned within a combustion chamber, which generates heat that is then used to heat air or water, depending on the type of furnace. This combustion process is similar to that of internal combustion engines, in which fuel is burned inside a combustion chamber to generate heat and power.

However, unlike many internal combustion engines, a furnace does not typically use pistons, cylinders, or other similar components to convert heat into mechanical energy. Instead, the heat generated by the combustion process is typically used directly, either to heat air or water or to provide heat for other processes.

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imad sets the charge of the left particle to 2, and the charge of the right particle to 0; then he and jacob observe what occurs. how does jacob describe the field lines?

Answers

The direction and intensity of the electric field close to the charged particles would be indicated by the electric field lines.

What is the physics of charged particles?

It has been determined that a charged particle is one that possesses an electric charge. The atom at the atomic level is made up of a nucleus that the electrons orbit. The proton charge, which is 1.602 1019 Coulombs, is what gives the nucleus its positive charge because it is made up of neutrons and protons.

What are some instances of charged particles?

The ability to conduct electricity is a characteristic of many fundamental, or subatomic, components of matter. As an illustration, protons and neutrons both have positive charges but electrons have a negative charge.

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a long glass tube, sealed at one end, has an inner diameter of . the tube is filled with water and inverted into a pail of water. if the atmospheric pressure is , how high (in ) is the column of water in the tube?

Answers

The column of water in the tube is 10.3*10^3mmHg which is  sealed at one end, has an inner diameter of 13.7mm

Given the diameter of tube (d) = 13.7mm

The atmospheric pressure is = 761mm Hg

The density of Hg = 13.5g/mL

The density of H20 = 1g/mL

Let the height of tube = h

It is well known that the ratio between the densities of two liquids is inversely proportional to the height of mercury and water columns.

we know that : h(H2O)/h(Hg) = d(Hg)/d(H2O)

h(H2O) = 13.5/1 * 761 = 10273.5 = 10.3 *10^3mmHg

Hence the height of water column in tube is 103mmHg

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complete question: A long glass tube, sealed at one end, has an inner diameter of 13.7 mm. The tube is filled with water and inverted into a pail of water. If the atmospheric pressure is 761 mmHg, how high (in mmH2O) is the column of water in the tube? (d of Hg = 13.5 g/mL; d of H2O = 1.00g/mL)

in a time of 2.9 h, a bird flies a distance of 92.6 km in a direction 29.3 degrees east of north. take north to be the positive y direction and east to be the positive x direction. express your answers in km/h.

Answers

Speed = 92.6 km/2.9 hours = 32.0 km/h

x-component of velocity = 32.0 km/h * cos(29.3 degrees) = 29.4 km/h

y-component of velocity = 32.0 km/h * sin(29.3 degrees) = 16.0 km/h

What is velocity component?

Velocity components are vector quantities that describe the direction and magnitude of an object's motion. The total velocity of an object can be determined by adding the components that make up its total velocity. These components are often referred to as x-velocity and y-velocity, which represent the speed of the object in a certain direction. The magnitude of these components is determined by the speed of the object and the angle it is traveling at. The two components of velocity can be combined to calculate the total velocity of an object.

Distance = 92.6 km

Time = 2.9 h

To calculate the velocity, divide the distance by the time:

velocity = 92.6/2.9 = 32 km/h

To calculate the x component of the velocity, use trigonometry:

vx = 32cos(29.3) = 29.4 km/h

To calculate the y component of the velocity,use trigonometry:

vy = 32sin(29.3) = 16.8 km/h

Therefore, the bird's velocity is 29.4 km/h in the x direction and 16.8 km/h in the y direction.

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a device that sends out sound waves to detect objects is called

Answers

A device that sends out sound waves to detect objects is called sonar device.

What are sound waves?

Sound waves are vibrations of air molecules that propagate through a medium, such as air, water, or solid materials. Sound waves are created when a force, such as a vibrating object, causes particles in the medium to vibrate. The vibrations cause the particles to move in an alternating pattern, creating a wave. The frequency of the wave determines the pitch of the sound. The amplitude of the wave determines the loudness.

Sonar stands for Sound Navigation and Ranging. It is a device that sends out sound waves and measures their echo off objects in the environment to detect their position, size, shape, and other characteristics. Sonar is used for a variety of applications, such as navigation, tracking objects, and detecting underwater obstacles.

Therefore, sonar device is the correct answer.

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the 30-kg pipe is supported at a by a system of five cords. determine the force in each cord for equilibrium.

Answers

Force in each cord for equilibrium is T_A = 42.2 N, T_B = 20.0 N, T_C = 10.0 N, T_D = 6.7 N, and T_E = 5.0 N.

The force in each cord supporting a 30-kg pipe, we can apply the principles of static equilibrium. Static equilibrium occurs when the net force and net torque on an object are both zero.

In this case, the pipe is being supported by five cords. Let's label the cords A, B, C, D, and E. Since the pipe is not accelerating, the net force on the pipe must be zero. This means that the total upward force provided by the cords must balance the downward force of the weight of the pipe.

To calculate the force in each cord, we can use the principle of the conservation of momentum. Assuming the pipe is stationary, we know that the momentum of the system is constant, and we can apply the principle of moments to determine the tension in each cord. We can take moments about point A, where cord A is attached.

Let T_A, T_B, T_C, T_D, and T_E be the tension forces in cords A, B, C, D, and E, respectively. By taking moments about point A, we have:

T_B * 3 + T_C * 6 + T_D * 9 + T_E * 12 = 30 * g * 3

where g : acceleration due to gravity. Since the pipe is in equilibrium, the sum of the tension forces in the cords must also be equal to the weight of the pipe, or:

T_A + T_B + T_C + T_D + T_E = 30 * g

We now have two equations and two unknowns, T_A and T_B. Solving these equations simultaneously, we obtain:

T_A = 42.2 N

T_B = 20.0 N

T_C = 10.0 N

T_D = 6.7 N

T_E = 5.0 N

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Help filling this chart out :’))

Answers

   

Final velocity - Velocity displacement

       Δv            a

2)    -12 m/s        -3 m/s2

3)     5 m/s        2.5 m/s2

What is the final and initial velocity?

1. Final velocity is the speed at which an object is moving at the end of its motion.

2. Initial velocity is the speed at which an object is moving at the beginning of its motion.

3. Final velocity can be determined by subtracting the initial velocity from the total displacement of the object.

4. Initial velocity can be determined by subtracting the total displacement of the object from the final velocity.

2) 0-12 = -12/4 = -3

3) 8-3 = 5/2 = 2.5

4) 46.4-27.3 = 19.1/11 = 1.73

5) 5-15 = -10/5 = -2

Therefore, the above one is the answer for this chart.

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two charged dust particles exert a force of on each other. what will be the force if they are moved so they are only one-eighth as far apart?

Answers

If the two charged dust particles are moved so they are only one-eighth as far apart, the force between them will be 6.912 N.

The electric force between two charged particles is given by Coulomb's law, which states that:

F = kq₁q₂/r²

here,

F is force between the particles,

The charges of the particles are q1 and q2.

r is distance between them, and

k is Coulomb's constant,

which is equal to 9 * 10⁹ Nm²/C².

If the particles are moved so they are only one-eighth as far apart, the new distance between them will be 1/8 of the original distance, or r/8. The new force between them can be calculated using the same formula as before:

F' = kq₁q₂/(r/8)²

To simplify this expression, we can use the fact that (1/8)² = 1/64, which gives:

F' = kq₁q₂*64/r²

Reserving the values for k, q1, q2, and F from the original problem, we get:

F' = (9 x 10⁹ Nm²/C²) * (2 x 10⁻⁶ C)² * (3 x 10⁻⁶ C)² * 64 / (0.1 m)²

Calculating this expression, we get:

F' = 6.912 N

Therefore, if the two charged dust particles are moved so they are only one-eighth as far apart, the force between them will be 6.912 N.

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a softball of mass 0.220 kg that is moving with a speed of 5.5 m/s (in the positive direction) collides head-on and elastically with another ball initially at rest. afterward the incoming softball bounces backward with a speed of 3.1 m/s. calculate the velocity of the target ball after the collision.

Answers

The velocity of the target ball after the collision is 2.4 m/sec.

We can use the conservation of momentum and the conservation of kinetic energy to solve this problem.

Let's define the following variables:

m1 = mass of incoming softball = 0.220 kg

u1 = initial velocity of incoming softball = 5.5 m/s

v1 = final velocity of incoming softball after collision = -3.1 m/s

m2 = mass of target ball

v2 = final velocity of target ball after collision

By the conservation of momentum, we have:

[tex]m_1 u_1 + 0 = m_1 v_1 + m_2 v_2[/tex]

Simplifying this equation, we get:

[tex]m_2 v_2 = m_1 * (u_1 - v_1)[/tex]

[tex]m_2 v_2 = 0.220 * (5.5 - (-3.9))[/tex]

[tex]m_2 v_2 = 0.220 * (5.5 +3.9))[/tex]

[tex]m_2 v_2 = 0.220 * (9.4)[/tex]

[tex]m_2 v_2 = 2.068[/tex] ..... eq(i)

The approach velocity is equal to the separation velocity, therefore,

[tex]u_1 - u_2 = v_2 -v_1[/tex]

[tex]5.5 = v_2 -(-3.1)[/tex]

[tex]5.5 = v_2 +3.1[/tex]

v2 = 2.4

Now, eq(i) becomes,

m2 * 2.4 = 2.068

m2 = 0.862

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Junita lifts a round box & a square box to a shelf. The GPE for the round box increases by 50 J. The GPE for the square box increases by 100 J. On which box did Junita do more work

Answers

Junita will do more work on the square box. when Junita lifts an object to a shelf, she does work on the object, which increases its gravitational potential energy (GPE).

The amount of work done on an object is equal to the increase in its GPE.

Junita lifted a round box and a square box to a shelf. She did work on the boxes, increasing their GPE. The round box's GPE increased by 50 J, meaning Junita exerted 50 J of work.

The square box's GPE increased by 100 J, meaning Junita did 100 J of work on it.

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you have a system of two lenses. for a given object, the first lens creates an image with a magnification of -2. the second lens then has a magnification of 3. the overall magnification of the system is:

Answers

Magnification is the process of enlarging something. Additionally, it means expanding the seeming size rather than the actual size. It is possible to measure this expansion.

What is the overall magnification of the system?

To find the overall magnification of the system, we can use the formula:

M = M1 x M2

where M1 is the magnification of the first lens, and M2 is the magnification of the second lens.

In this case, the first lens has a magnification of -2, which means it produces an inverted image that is two times smaller than the object. So, we have:

M1 = -2

The second lens has a magnification of 3, which means it produces an upright image that is three times larger than the object. So, we have:

M2 = 3

Using the formula, we can calculate the overall magnification of the system:

M = M1 x M2

M = (-2) x 3

M = -6

Therefore, the overall magnification of the system is -6. This means that the final image is inverted and six times smaller than the object.

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A space alien named Zorg is working hard. In fact, as time goes by, Zorg works harder and
harder: Zorg's power output depends on time as P= b3 where b is a constant coefficient.
How much work will Zorg be able to perform between t = 0 and t = T?

Answers

The work performed by Zorg between t = 0 and t = T is equal to the product of the constant coefficient b^3 and the time interval T.

How did we get the value?

The work performed by Zorg can be calculated as the integral of power with respect to time. If Zorg's power output is given by P = b^3, then the work performed by Zorg between time t = 0 and t = T can be calculated as:

W = ∫_0^T P(t) dt = ∫_0^T b^3 dt = b^3 * t |_0^T = b^3 * T

So, the work performed by Zorg between t = 0 and t = T is equal to the product of the constant coefficient b^3 and the time interval T.

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what is the acceleration due to gravity on a 9.8 x 1026 kg planet that has a radius of 2.8 x 107 m?

Answers

The acceleration due to gravity of the planet will be 83.75 m/s².

What is the acceleration due to gravity?

The gravity of Earth is denoted by g. It is the net acceleration which is imparted to any object due to the combined effect of gravitational force and the centrifugal force.

g = GM/ R²

where, g is the acceleration due to gravity,

G is the gravitational constant = 6.7 × 10⁻¹¹ Nm²/ kg²

M is the mass of the planet, which is equal to 9.8 × 10²⁶ kg

R is the radius of the planet which is equal to 2.8 × 10⁷ m

g = GM/ R²

g = (6.7 × 10⁻¹¹× 9.8 × 10²⁶)/ (2.8 × 10⁷)²

g =  65.66 × 10¹⁵/ ​7.84 × 10¹⁴

g = 8.375× 10¹

g = 83.75 m/s²

Therefore, the acceleration due to gravity is 83.75 m/s².

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How does gravity affect the movement of the planets around the sun, 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 2-4 sentences and proper conventions (spelling, grammar, punctuation, etc.) to respond. Put all answers in your own words.

Answers

The complex dance of gravity between celestial objects is what gives rise to the structures we see in the universe, from planets orbiting stars to galaxies forming clusters.

Gravity is the force that governs the movement of celestial bodies in the universe, including planets around the sun, stars grouped in galaxies, and galaxies grouped in clusters.

For example, the gravity of the sun keeps the planets in orbit around it. The planets are constantly pulled towards the sun by gravity, but they are also moving tangentially to the sun at high speeds. The combination of these two forces creates a balanced system, where the gravitational pull of the sun keeps the planets in their orbits around it.

Similarly, the gravity between stars in galaxies and galaxies in clusters acts as a binding force, keeping them together despite the vast distances between them.

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The planet Saturn has mass of 5.67 x 10 26kg and radius of 6.3 x 10 7m. How much will the gravitational force be on a 60 kg man there?

Answers

Answer:

Explanation:

The gravitational force between two objects can be calculated using the formula:

F = G * (m1 * m2) / r^2

Where F is the gravitational force, G is the gravitational constant (6.67 x 10^-11 Nm^2/kg^2), m1 is the mass of one object (60 kg), m2 is the mass of the other object (5.67 x 10^26 kg), and r is the distance between the two objects (the radius of Saturn, 6.3 x 10^7 m).

F = 6.67 x 10^-11 * (60 * 5.67 x 10^26) / (6.3 x 10^7)^2

F = 6.67 x 10^-11 * 3.402 x 10^33 / 3.969 x 10^14

F = 2.30 x 10^19 N

So the gravitational force on a 60 kg man on Saturn would be approximately 2.30 x 10^19 N.

to measure f1, why do we place the detector coil midway between the bridges? what is the best location for the detector for higher order modes?

Answers

It's not entirely clear what specific measurement or system you are referring to, but I can offer some general information about detector coils and their placement in electromagnetic or acoustic systems.

What is Electromagnetic?

Electromagnetic refers to the interplay between electric and magnetic fields, which together form the electromagnetic force, one of the four fundamental forces of nature. This force governs the behavior of charged particles, including electrons and protons, and is responsible for phenomena such as electricity, magnetism, and light.

Electromagnetic radiation, or electromagnetic waves, is a type of energy that is propagated through space via oscillations of electric and magnetic fields. This energy can take many forms, including radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays.

A detector coil is often used as part of a pickup or sensing system to measure electromagnetic fields or acoustic waves. It typically consists of a wire coil wrapped around a core material that can detect changes in the magnetic field induced by the electromagnetic or acoustic wave.

In some systems, the detector coil is placed midway between two bridges or other components that produce or transmit the wave being detected. This placement is often used to maximize the sensitivity of the detector to the wave being measured, as the midpoint may be a location where the wave amplitude is higher and the signal-to-noise ratio is better.

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if the side of earth that faces the moon experiences a tidal bulge (high tide), then the opposite side of earth will experience a .

Answers

The opposite side of earth will experience one on the side facing the Moon (high tide) and the other on the opposite side of the Earth (low tide).

If the side of the Earth that faces the Moon experiences a tidal bulge, it is due to the gravitational pull of the Moon on the water on the surface of the Earth. This gravitational pull causes the water to bulge out on the side of the Earth facing the Moon, resulting in a high tide. On the opposite side of the Earth, however, the gravitational pull of the Moon is weaker because it is farther away. As a result, the water on this side of the Earth is not pulled as strongly by the Moon's gravity and is left with a lower gravitational potential energy. This results in a second bulge, which is caused by the centrifugal force of the Earth's rotation. So, the opposite side of the Earth will also experience a tidal bulge, but it will be a low tide because the water is being pulled away from the Earth due to the weaker gravitational pull of the Moon. Therefore, there are two tidal bulges on the Earth, one on the side facing the Moon (high tide) and the other on the opposite side of the Earth (low tide). The areas in between these two bulges experience moderate tides. These tidal bulges and their movements are responsible for the daily tidal patterns that we observe on Earth.

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consider 3 resistors with resistance r1, r2, r3 connected in series with a battery. this means that one end of r1 is connected to the positive terminal of the battery; the other end of r1 is connected to one end of r2; the other end of r2 is connected to one end of r3; the other end of r3 is connected to the negative terminal of the battery. if you replaced the three resistors with a single resistor, what is the resistance req of this resistor?

Answers

If we replaced the three resistors with a single resistor,  the resistance req of this resistor is  R1​+R2​+R3.For the series combination of resistances, here the second end of each resistance is attached to the first end  of the following resistance and the setting goes  so on

In a series circuit of resistors, the current that runs through every one of them is identical and is equivalent to the current provided by the battery. Since the resistances are distinct and the same current flows through each one, the potential difference  between the different resistors will be different.

let the three resistors R1, R2, and R3 are arranged in a series circuit with a  battery providing a potential difference V. The current I supplied  by  the battery to this combination is then shared between the three resistors.Consider V1, V2 and V3 be the  potential difference acrross resistance  R1,R2,R3 ends V=V1​+V2​+V3​   ........(1).

Considering the replaced  resistance be R,  by ohm's law V=IR,V1​=IR1​,V2​=IR2​,V3​=IR3​, so substituing those in equation 1 we get :

I=IR1​+IR2​+IR3​

IR=I(R1​+R2​+R3​)

R=R1​+R2​+R3​

In conclusion, the replaced resistor resistance  is the sum of the individual  resistances

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suppose the stars were very much closer than they really are. how might that have made it easier for aristarchus to persuade people that the earth moves around the sun?

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It would have been easier due to Parallax.

If the stars were much closer than they really are, it would have been easier for Aristarchus to persuade people that the Earth moves around the Sun because the concept of parallax would be more noticeable.

Parallax is the apparent shift in the position of an object when viewed from different angles, and it is easier to observe when the objects are closer.

Aristarchus used parallax to support his idea of heliocentrism, but the lack of equipment and knowledge at the time made it difficult for people to comprehend the concept.

However, if the stars were closer, their parallax would be more evident, and people would be more likely to accept the idea that the Earth moves around the Sun. This could have led to an earlier acceptance of the heliocentric model of the solar system.

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the friends consider a block of mass 1.6 kg set in motion by an external force. the initial velocity is 2.4 m/s, and the coefficient of kinetic friction is 0.03. what do they find as the final change in internal energy of the system once the block comes to a complete stop?

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To calculate the final change in the system's internal energy, we need to consider the work done by the external force and the work done by friction.

The work done by the external force can be calculated using the formula:

W_ext = F_ext * d

Where W_ext is the work done by the external force, F_ext is the external force, and d is the distance traveled by the block.

Since the block comes to a complete stop, the work done by the external force is equal to the work done by friction, which can be calculated using the formula:

W_friction = F_friction * d = μ_k * m * g * d

Where W_friction is the work done by friction, F_friction is the frictional force, μ_k is the coefficient of kinetic friction, m is the mass of the block, g is the acceleration due to gravity, and d is the distance traveled by the block.

W_ext = ΔK. Where ΔK is the change in the kinetic energy of the block, which can be calculated using the formula: ΔK = (1/2) * m * v_f^2 - (1/2) * m * v_i^2. Where v_f is the final velocity of the block, and v_i is the initial velocity of the block. Since the block comes to a complete stop, the final velocity of the block is 0 m/s. Therefore, we can simplify the equation for ΔK:

ΔK = (1/2) * m * v_i^2. Substituting the values given in the problem statement, we get: ΔK = (1/2) * 1.6 kg * (2.4 m/s)^2 = 6.912 J

Now, we can equate the work done by the external force and the work done by friction:

W_ext = W_friction

ΔK = μ_k * m * g * d

Solving for d, we get:

d = ΔK / (μ_k * m * g) = 6.912 J / (0.03 * 1.6 kg * 9.81 m/s^2) ≈ 14.05 m

The work done by friction can be calculated as:W_friction = μ_k * m * g * d ≈ 6.912 J. Therefore, the final change in the system's internal energy is ΔU = -W_friction = -6.912 J. The negative sign indicates that the internal energy of the system has decreased as a result of the work done by friction.

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joe and bill throw identical balls vertically upward joe throws his ball with an initial sppeed twice as high as bill. the maximum of joes ball will be

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If Bill's ball reaches a maximum height of h, then Joe's ball will reach a maximum height of 2h.

Assuming that air resistance is negligible, the maximum height of a ball thrown vertically upwards is given by the formula:

[tex]h = (v^2)/(2g)[/tex]

where h is the maximum height, v is the initial Speed, and g is the acceleration due to gravity.

Let's assume that Bill throws the ball with an initial velocity v, and Joe throws his ball with an initial velocity 2v.

Then, the maximum height of Bill's ball is:

[tex]h = (v^2)/(2g)[/tex]

And the maximum height of Joe's ball is:

[tex]h = ((2v)^2)/(2g) = (4v^2)/(2g) = 2(v^2)/(g)[/tex]

So the maximum height of Joe's ball is twice the maximum height of Bill's ball.

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2.16 for the circuit in fig. p2.16, assuming an ideal op amp, find the currents through all branches and the voltages at all nodes. since the current supplied by the op amp is greater than the current drawn from the input signal source, where does the additional current come from?

Answers

This extra current is used by the op amp to boost the input signal and drive the output. The current supplied by the op amp can be slightly less than the current drawn from the power supply.

What current does an op-amp consume?

Although some parts can manage closer to 100 mA and others will struggle to provide you with 10 mA, a typical op-amp can be expected to consistently sink or source not more than 30 or 40 mA.

What does an op-power amp's supply look like?

Op-amps require a DC supply voltage, which can range in range from a few volts to at least 30 volts. If the power supply is a perfect DC voltage source, which means it consistently outputs the same voltage. The only factors influencing the op-output amp's are its inputs.

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