a 9500 pf capacitor holds plus and minus charges of 16.5 x 10e-8 c. what is the voltage across the capacitor?

Answers

Answer 1

According to the problem the voltage across the capacitor is 1.73 V.

What is capacitor?

A capacitor is an electrical component that stores energy in the form of an electrostatic field. It is composed of two conducting plates separated by an insulating material called a dielectric. When a voltage is applied to the plates, the dielectric stores an electrical charge. Capacitors are used in a variety of electronic devices and are essential for the operation of many electrical and electronic systems.

The voltage across a capacitor is given by V = Q/C, where Q is the charge on the capacitor, and C is the capacitance.
In this case, the charge on the capacitor is 16.5 x 10-8 C, and the capacitance is 9500 pF = 9.5 x 10-8 F.
Therefore, the voltage across the capacitor is V = 16.5 x 10-8 C / 9.5 x 10-8 F = 1.73 V.


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Related Questions

A ball with topspin rotates in the opposite direction as a ball with underspin. What would be the direction of the Magnus effect
on a ball with topspin? How do you think this would affect the ball’s motion?

Answers

The ball drops quicker as a result of the topspin, which might make it more challenging for the opponent to strike the ball at the appropriate moment. Topspin may be used to produce shots that are more difficult to return because of this.

What is Topspin  and Underspin?

Generally, The Magnus effect is caused by the difference in air pressure on the top and bottom of a spinning object.

On a ball with a topspin, the air pressure is greater on the top of the ball than on the bottom, which creates a lifting force that causes the ball to move upward.

This can cause the ball to have more height or to curve in a specific direction, making it more difficult for the opponent to return.

The topspin also causes the ball to drop faster than it would otherwise, which can make it more difficult for the opponent to hit the ball at the right time. This makes topspin a useful tool for making shots that are harder to return.

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a detector is exposed to a monochromatic source of ra- diation for 40 ms and indicates that the power level is 10 w. if 109 photons are incident on the detector in this time, what is the frequency of the radiation? what type of electromagnetic radiation is this?

Answers

if throughout this period 109 photons impact on the detector. The radiation has a frequency of 2.5*1014 Hz. Gamma radiation is this kind of electromagnetic radiation.

The equation: may be used to determine the radiation's frequency.

Frequency equals the sum of the photons (time)

The frequency in this instance is:

109 photons divided by 40 x 10-3 seconds equals 2.725 x 1011 Hz as the frequency.

Due to the extremely high frequency, it is most likely gamma rays, a form of electromagnetic radiation. Gamma rays, which are often created by the decay of radioactive materials or nuclear processes, contain the greatest energy and the shortest wavelength of all known kinds of electromagnetic radiation. They may also result from other high-energy astrophysical phenomena, such as cosmic rays.

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On the 1/4" = 1'0" architect 's scale, what makes it possible to scale or measure a distance of 1'4"?

Answers

The correct option d. The small divisions at the end of each scale. This allows for the scaling or measurement of a 1'4" distance.

Explain the functioning of architect 's scale?

For structures and buildings, architect scales like 1/4" = 1'0" (1/48 size) or 1/8" = 1'0" (1/96 size) are employed.

They are employed to measure both exterior and interior measurements, including those of buildings, rooms, walls, doors, windows, and fire protection systems.Scales ranging from very simple (1 inch = 1 foot) here to sophisticated (3/16 inch = 1 foot) are used when drawing architectural drawings. Plans are frequently created using scales like 3/4, 3/16, and 1/8.Six edges make up a triangular architect scale, and each edge typically features representations of two alternative scales, such as 1 inch to 1 foot and 12-inch to 1 foot. Up to sixteen scales may be present in certain setups with numerous rules. These are normally 12 inches long and come in an amazing range of options, including plastic scales, solid aluminium scales, and scales with color-coded grooves.

Thus,  the minuscule divisions at each scale's tip. This makes it possible to scale or measure a 1'4" distance.

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The complete question is-

On the 1/4" = 1'0" architect 's scale, what makes it possible to scale or measure a distance of 1'4"?

Select one:

a. Use the 1/8" scale and convert.

b. Use the 1/16" scale and convert.

c. The large divisions at the end of the scale.

d. The small divisions at the end of each scale.

a pilot needs to begin his descent when his plane is 7.5 km above the ground. thestraight line distance from the plane directly to the airport is 200 km. what measureshould the angle of descent be so the plane reaches the airport?

Answers

The measure of the angle of descent should be 2.15° from the horizontal line of sight, if the altitude of the plane is 7.5 km above the ground.

The Altitude of the plane above the ground, h = 7.5 km

The straight line distance of the landing place from the airplane, d = 200 km

For the decent landing of the airplane, there should not be an steep angle of landing. We know tanθ = Height/base

tanθ = h/d

So the descent angle will be tan⁻¹(h/d)

So, tan⁻¹(7.5/200)

θ = 2.1475 ≈ 2.15°

So, θ = 2.15°

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100 point!!!!
5. A water wave (a mechanical wave, not an electromagnetic wave!) has a frequency of 20 Hz and a wavelength of 0.1 m. Calculate the speed of this wave.



6. A sound wave (a mechanical wave, not an electromagnetic wave!) has a frequency of 1500 Hz and a speed of 343 m/s. Calculate the wavelength of this wave.






7. An ultraviolet wave from the Sun traveling at the speed of light has a wavelength of 3 × 10−8
m. Calculate the frequency of this wave.







8. 8. An infrared wave traveling at the speed of light has a wavelength of 2x10^-5 m. Calculate the frequency of this wave.

Answers

The speed of the wave is 2 m/s. The wavelength of the wave is 0.228 meters. The frequency of the waves are 1 × 10¹⁶ Hz and 1.5 × 10¹³ Hz, respectively.

What is the speed of wave?

Wave speed relates to the speed of a wave to the wavelength and frequency of the wave. When the wavelength and the frequency of the wave are known to us, then this equation can be used to calculate the wave speed. The frequency of a wave is the number of waves which move in one second.

5. Speed of wave = wavelength × Frequency

Speed of wave = 20 × 0.1

Speed of wave = 2 m/s

6. Wavelength = Speed/ Frequency of wave

Wavelength = 343/ 1500

Wavelength = 0.228 meters

7. Frequency = Speed/ wavelength of the wave

Frequency = 3 × 10⁸/ 3 × 10⁻⁸

Frequency = 1 × 10¹⁶ Hz

8. Frequency = Speed of light/ Wavelength of the light wave

Frequency = 3 × 10⁸/ 2 × 10⁻⁵

Frequency = 1.5 × 10¹³ Hz

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The phenomenon caused by the excessive release of smoke by factories, burning garbage, and vehicles is known as _________. A fog B mist C dew D smog

Answers

Answer:

D. Smog

Explanation:

The phenomenon caused by the excessive release of smoke by factories, burning garbage, and vehicles is known as smog.

Which of these is one of the Milankovitch cycles?

A. changes in the length of Earth’s orbit
B. changes in the distance between Earth and the sun
C. changes in Earth’s tilt
D. changes in the time between Earth’s seasons

Answers

One of the Milankovitch cycles is the changes in the Earth's tilt.

Option C.

What is Milankovitch cycles?

The Milankovitch cycles are cycles that relates the Earth motions and long-term climate change  and they include the following:

The shape of Earth's orbit, known as eccentricityThe angle Earth's axis is tilted with respect to Earth's orbital plane, known as obliquity; andThe direction Earth's axis of rotation is pointed, known as precession.

Thus, we can conclude that one of the Milankovitch cycles must relate to the changes in the Earth's tilt or  the angle Earth's axis is tilted with respect to Earth's orbital plane, known as obliquity.

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Draw a complete pictorial representation for the following problems. Do not solve the problems. Refer to Tactics Box 1. 5 on pg 19 of your text for what is included in a complete pictorial representation. A. A highspeed train leaves the station traveling at a steady 10 m/s for the first 1 km while it is in a dense population area. It then begins to accelerate at 0. 20 m/s2 until it reaches a top speed of 110 m/s. The train continues at this speed for the rest of its trip. How long does it take the train to get 20 km (20,000m) away from the station

Answers

A graphical representation of data is a method of presenting two sets of data visually using a graph.The graph shows two entities, one on the x-axis and the other on the y-axis.

What in physics is a graphical representation? A graphical representation of data is a method of presenting two sets of data visually using a graph.The graph shows two entities, one on the x-axis and the other on the y-axis.An example of a diagram that depicts a workflow or process is a flowchart.Another definition of a flowchart is a diagrammatic depiction of an algorithm or a method for solving a problem step-by-step.The representation that comprises of images, or one of the many other types of data representations that are Pictograph is the name for a visual representation of data.Realistic and logical images are two ways that visual representations can generally be distinguished.Photos, paintings, and sketches that are realistically shown have a similar level of detail to the objects they depict in terms of features and structures.

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Francisco wants to investigate how changing the shape makes the same amount of ice melt faster or slower when placed in a water bath. He creates the table shown to record data during his investigation.

Answers

Answer:

Question 1: the two controlled variables are "initial mass of ice" and "initial surface area of ice".

Questions 2: it's "mass of the water after the ice has melted" and "time for the ice to melt completely"


Which design features should the clinical
thermometer have?

Answers

The correct answer is A: thick glass, narrow bore. This design allows the thermometer to have a high sensitivity and to respond quickly to changes in temperature.

Which design features should the clinical thermometer have?A clinical thermometer is designed to measure temperature with high accuracy and sensitivity.Therefore, it is important to ensure that the thermometer is designed with the right features.The main design feature is the bulb, which should be made of thick glass to ensure accuracy.A narrow bore should be used to ensure that the thermometer responds quickly to a change in temperature.The thermometer should also have a scale marked in increments of 1/10th of a degree Celsius and have a range of at least 42°C.Finally, the thermometer should be designed with a rounded tip to prevent damage and ensure accurate readings.All of these design features should be taken into account when designing a clinical thermometer to ensure accurate and reliable results.

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A mass suspended from a spring is pulled down a distance of 2 feet from its rest position. The mass is
released at time t=0 and allowed to oscillate. The mass returns to this position after 1 second.
Additionally, during a cycle it reaches a maximum height of 2 feet above its rest position.
Sketch a graph of this scenario and write an equation.

Answers

Its b because im not smart

a force of 40 n is required to start a 5 kg box moving across a horizontal concrete floor. (a) what is the coefficient of static friction? (b) if the 40 n force continues and the box accelerates at 0.70 m/s2, what is the coefficient of kinetic friction?

Answers

The coefficient of kinetic friction for that box is 0.745. You can determine from Newton second law.

How to find coefficient of kinetic friction for that box?

As per data given:

box mass(M)= 5 kg = 5

Force required F = 40 N

First, assume μs and μk as the coefficient of static and kinetic friction. Normal reaction on the box due to the floor is given by:

N = M x g= 5 x 9.8 = 49 N

Force of static friction (fs) = μs x N = 49 x μs N

To make the box move, minimum force need has to higher then static frictional force, therefore:

fs = F = 40 N

μs x 49 = 40

μs = 0.816

Since acceleration of the box(a) = 0.7 m/s² then kinetic friction acting for the box :

force k = μk x N

force k = 49 × μk N

As per data given:

box mass(M)= 5 kg = 5

Force required F = 40 N

First, assume μs and μk as the coefficient of static and kinetic friction. Normal reaction on the box due to the floor is given by:

N = M x g= 5 x 9.8 = 49 N

Force of static friction (fs) = μs x N = 49 x μs N

To make the box move, minimum force need has to higher then static frictional force, therefore:

fs = F = 40 N

μs x 49 = 40

μs = 0.816

Since acceleration of the box(a) = 0.7 m/s² then kinetic friction acting for the box :

force k = μk x N

force k = 49 × μk N

Based on Newton's second law, we can determine μk

F − force k = M x a

40 − 49  x μk = 5 x 0.7

μk = 0.745

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HELPPPP ASPPP PLEASE THANK YOU

Answers

They travel back and forth parallel to the path that the wave is moving

What is a Transverse wave ?

A transverse wave is a motion in which every point on the wave oscillates along a route that is perpendicular to the wave's forward motion. Transverse waves include electromagnetic (such as radio and light) waves, seismic S (secondary) waves, and surface ripples on water.

In a transverse wave, the medium's particles move perpendicular to the wave's path. Peaks and valleys, referred to as crests and troughs, are features of transverse waves. The medium's particles move parallel to the wave's direction of travel during a longitudinal wave.

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Which statement best compares potential and kinetic energy?Objects always have more potential energy than kinetic energy.Kinetic energy increases and potential energy decreases when the velocity of an object increases.Only potential energy decreases when an object’s height increases.Objects always have more kinetic energy than potential energy.

Answers

The statement that best compares potential and kinetic energy is that Kinetic energy increases and potential energy decreases when the velocity of an object increases. That is option B.

What is kinetic energy?

Kinetic energy is defined as the type of energy that is being possessed by a body that is in constant motion.

Potential energy is defined as the type of energy that is stored within a body as it remains in a steady state.

Velocity is defined as the distance covered by an object with respect to time.

Therefore, the major difference between a kinetic energy and potential energy is that Kinetic energy increases and potential energy decreases when the velocity of an object increases.

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A 1,500 gram dog bowl is pushed at 200 cm/s. What is the momentum in kg x m/s?

Answers

Answer:

300 kg x cm/s / 100 = 3 kg x m/s.

You use a horizontal force 25 Newtons N to push a box 3 meters to the right. Find the work you did.
W=Fed

Answers

Answer:

  75 J

Explanation:

You want the work done by a force of 25N over a distance of 3 m.

Work

As your formula tells you, the work is the product of force and distance:

  W = Fd

  W = (25 N)(3 m) = 75 N·m

Units

One newton·meter is one Joule.

  = 75 J

__

Additional comment

Both newtons (N) and joules (J) are derived SI units:

  1 N = 1 kg·m/s²

  1 J = 1 kg·m²/s² = 1 N·m

Formula for work:

[tex]w=Fd[/tex]

work(measured in joules) = force(measured in newtons) * distance(measured in meters)

__________________________________________________________

Given:

[tex]F=25N[/tex]

[tex]d=3m[/tex]

[tex]w=?[/tex]

__________________________________________________________

Finding work:

[tex]w=Fd[/tex]

[tex]w=25\times3[/tex]

__________________________________________________________

Answer:

[tex]\fbox{w = 75 Joules}[/tex]

the velocity of waves on a string is 76 m/s. if the frequency of standing waves is 416 hz, how far apart are 2 adjacent nodes? give the answer in meters, to 3 decimal places.

Answers

The distance between 2 adjacent nodes with the speed of wave propagation on the rope is 76 m/s, and the standing wave frequency is 416 Hz is 0.09 m.

Half of the wavelength is equal to the distance between two adjacent nodes or antinodes.

Standing wave nodes: At any given moment, the displacements of the two traveling waves are always equal in magnitude and opposite in direction, resulting in the sum forming a node.

Hence,

Wavelength = velocity/frequency

λ = v/f

= 76 /416

= 0.18 m

So, the distance between 2 adjacent nodes:

½ λ

½ (0.18)

= 0.09 m

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The angle of incidence of a wave is always equal to the angle of

Answers

Answer:

The angle of incidence of a wave is always equal to the angle of reflection.

Explanation:

1. The angle of incidence is the angle made by the incident ray with the  surface and the line perpendicular to the surface.

2. The angle of reflection is the angle between the reflected ray and the perpendicular to the surface.

3. A wave is an energetic disturbance in a medium without any movement of particles.

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with the aid of diagram describe how pressure acts in all direction ​

Answers

Pressure acts in all direction .

What is the fundamental meaning of pressure?

The amount of force applied to a unit area is referred to as pressure. The weight of the water column above contributes to the pressure in a liquid. This pressure works in all directions because a liquid's particles are closely packed. For instance, the pressure exerted on a dam at a reservoir's bottom is larger than the pressure exerted near the top.

There is a magnitude to pressure, but no accompanying direction. At one location inside a gas, pressure spreads out in all directions. The pressure force acts perpendicular to the surface at a gas's surface.

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a small wooden cylinder drops down onto the water surface. what's the resulting motion on the surface of water

Answers

A small wooden cylinder drops down onto the water surface. The resulting motion on the surface of water splash, then start to sink, displacing a volume of water equal to its own volume.

What do you mean by motion?

In physics, motion refers to the change of position of an object with respect to its surroundings over time. If an object's location varies in relation to a reference point, it is said to be in motion.

There are various types of motion, including:

Circular motion: This is motion in a circular path. An example of this is a wheel spinning on an axle.

Periodic motion: This is motion that repeats itself in equal intervals of time. An example of this is a swing that goes back and forth.

Random motion: This is motion that is unpredictable and does not follow a regular pattern. An example of this is the motion of a molecule in a gas.

Relative motion: This is motion that is described as the movement of an object with respect to another object.

All of these types of motion have different characteristics and can be described and analyzed mathematically using laws of motion and other principles of physics.

When a small wooden cylinder drops onto the surface of water, it will initially create a splash as it impacts the surface. The splash will create a disturbance in the water surface, causing ripples to spread outwards from the point of impact.

The wooden cylinder will then start to sink, displacing a volume of water equal to its own volume. As the cylinder sinks, it will continue to create ripples on the surface of the water, with the amplitude of the ripples decreasing as the distance from the point of impact increases.

Once the wooden cylinder sinks to the bottom, the motion on the surface of the water will cease and the ripples will dissipate.

It's worth noting that this motion on the surface of the water will depend on the factors such as the size, shape, density, and velocity of the wooden cylinder, and on the viscosity and surface tension of the water.

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A kettle states that it is 60% efficient. If it also had a total of 400J input, what would the useful energy transfer to the water be?

Answers

Efficiency is a measure of how much of the energy input is converted into useful output. In this case, the kettle is stated to be 60% efficient, meaning that 60% of the energy input is converted into useful energy transfer to the water.

To find the useful energy transfer to the water, we can use the formula:

Useful energy transfer = Efficiency x Energy input

In this case, we have:

Useful energy transfer = 0.6 x 400 J = 240 J

So, the useful energy transfer to the water would be 240 J.
It means that, the kettle is able to transfer 240 joules of energy to the water, and the remaining 160 J of energy is wasted as heat or other forms of energy.

a container of water is open to the atmosphere. what is the gauge pressure profile of the water against a section of the container? arrow lengths against the wall indicates pressure magnitude.

Answers

The pressure as compared to atmospheric pressure is known as gauge pressure. Gauge pressure is positive for pressures higher than atmospheric pressure. Gauge pressure is negative for pressures below atmospheric pressure.

Pg denotes gauge pressure, which is related to absolute pressure as follows: Pa is the local atmospheric pressure, and pg is equal to p - pa. Example: 32.0 psi is the tire pressure as measured by an automobile tire gauge. 14.2 psi is the atmospheric pressure in the area.

Two objects that are in contact with one another are under pressure. The pressure distribution across the entire contact area is known as the pressure profile.

This type of reading is simply known as "gauge pressure" since the majority of gauges measure pressure relative to atmospheric pressure, which serves as the zero point. However, anything that is not a complete vacuum is considered to be under some type of pressure.

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Is it possible for the material to let some
light lout not let others?

Answers

Answer:BY opening it and closing it quickly to make a tiny bit of it come out

Explanation:

two kids sit at the ends of a teeter-totter one has a mass of 50kg and the other has a mass of 35 kg the teeter totter is 3m long and has a mass of 10kg determine the location of the center of mass of the three objects

Answers

The location of the center of mass of the three objects is 0.237 m from the pivot to the 50 kg kid side when two kids sit at the ends of a teeter-totter one has a mass of 50kg and the other has a mass of 35 kg the teeter-totter is 3m long and has a mass of 10kg.

Let x=0 be the pivot point of the teeter-totter

and a kid is sitting at x1 = -1.5 m with mass m1 = 50 kg

another kid is sitting at x2 = 1.5 m with mass m2 = 35 kg

mass of teeter-totter, m = 10 kg

Now, the center of mass = [tex]\frac{m1x1+m2x2+mx0}{m1+m2+m}[/tex]

or COM = (-1.5x50 + 1.5x35 + 0)/(50+35+10)

COM = - 22.5/95 = - 0.237 m

Therefore, the location of the center of mass of the three objects is 0.237 m from the pivot to the 50 kg kid side when two kids sit at the ends of a teeter-totter one has a mass of 50kg and the other has a mass of 35 kg the teeter-totter is 3m long and has a mass of 10kg.

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in question 6, what stage of the truck life cycle is being presented? what other truck life cycle stages might be important to consider?

Answers

The truck life cycle from conception through obsolescence is referred to as the life cycle of a vehicle. Research and development are the first steps in the initial product development for the automobile (R&D).

It ends with the removal of the product from sale (discontinued). Utilizing this process allows for the retention and growth phases of the employee lifespan. Employee retention is aided and opportunities for career progression are presented by a great onboarding experience. The new hire should be introduced to the appropriate departments and coworkers. Your business begins to carve out a distinct position in the market during the growth phase of the business life cycle. Your customers and your business strategy begin to gain traction.

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figure 1 shows the kinetic energy as a function of time for a 2kg object that is released from rest and falls toward earth’s surface. figure 2 shows the kinetic energy as a function of time for a 5kg object that is released from rest and falls toward earth’s surface. both objects are released simultaneously from the same height. how much does the gravitational potential energy of the object-object-earth system change from 0s to 10s ?

Answers

U=GM m /r is the formula for the potential energy of a system that includes the Earth and an object orbiting the planet.

How much does the gravitational potential energy ?

U=GM m /r is the formula for the potential energy of a system that includes the Earth and an object orbiting the planet.

G stands for gravity constant.

The Earth's mass is M.

m is the object's mass.

r is the separation between the item and the center of the Earth.

Here it is:

M = 5.98-10(24) kg, where m = 102 kg is the object's mass.

The object's distance from the center of the Earth is given by the formula r = 2R.

is the radius of the Earth

when substituting

U = -3.19 - 10 (9) J

The object's combined potential and kinetic energies make up its total mechanical energy:

where

the mechanical energy is E.

The potential energy is U.

K stands for kinetic energy.

E = U +K

E = 0 in this case because we want the item to have no energy, which results in kinetic energy of K = -U = 3.19- 10 (9) J.

The object's kinetic energy can be represented as where m = 102 kg is its mass and v is its speed.

And solving for v, we find:

r = 7909 m/s

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Sphere A has a charge of 2. 0X10-6 C, sphere

B has a charge of 3. 0X10-6 C, and sphere C

has a charge of 4. 0X10-6 C. What is the

magnitude of the net force on sphere A?

(rAB

= 2. 0X10-2 m and rAc= 2. 0X10-2 m)

Answers

To determine the speed at which the baseball player threw the ball and the height it reached, we can use the equations for motion with constant acceleration. So hence  t is the time it took for the ball to return to the player's hand.

Since the ball was thrown vertically upward and we know the time it took for it to return to the player's hand, we can use the following equation to determine the initial velocity (vₒ) of the ball: vₒ = gt . where g is the acceleration due to gravity (approximately 9.8 m/s²) and t is the time it took for the ball to return to the player's hand (3.0 s).

Plugging in the known values, we get:

vₒ = 9.8 m/s² x 3.0 s = 29.4 m/s

To determine the height the ball reached, we can use the following equation: h = vₒt + (1/2)gt²

where h is the height, vₒ is the initial velocity, t is the time it took for the ball to return to the player's hand, and g is the acceleration due to gravity.

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Howard's sweet ride can accelerate from zero to 320 km/h [forward] in 12. 6 s and has a recorded

top speed of 411 km/h. What is its acceleration in m/s??

Answers

With a top speed of 411 km/h, Howard's sweet ride can accelerate from 0 to 320 km/h in just 12.6 seconds. It acceleration at 32,683.333 m/s2, in m/s.

To find the acceleration of Howard's sweet ride, we can use the equation:

Acceleration = (final velocity - initial velocity) / time

Given the final velocity as 411 km/h = 411,000 m/h and initial velocity as 0 m/s and time of acceleration as 12.6 seconds.

Acceleration = (411,000 m/h - 0 m/s) / (12.6 s) = 32,683.333 m/s^2

So the acceleration of Howard's sweet ride is 32,683.333 m/s^2.

It is worth noting that the units must be consistent, it is better to convert km/h to m/s before calculating the acceleration, to get the accurate result.

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Which of these can help determine air pressure? Select the two correct answers.(1 point)a. wind speed of the airb. moisture in the airc. temperature of the aird. cloud patterns in the air

Answers

The two appropriate factors that can assist in determining air pressure are wind, speed and air temperature. The appropriate choices are A) and C).

Everything you touch is pressed upon by the weighty air that surrounds you. The term air pressure or atmospheric pressure is used to describe this pressure. When a surface is being pulled toward Earth by gravity, air above the surface exerts a force on it. It is common practise to measure atmospheric pressure using a barometer.

Because air pressure is determined by the quantity of molecules above a surface, this is the case. It's interesting to note that as the number of molecules grow, more pressure is applied to a surface, increasing the overall air pressure. In contrast, when the number of molecules falls, the air pressure rises.

The average kinetic energy of the gas's molecules directly relates to its temperature. Faster moving particles will more frequently and violently hit with the container walls.

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Two resistors have resistances R(smaller) and R(larger), where R(smaller) < R(larger). When the resistors are connected in series to a 12. 0-V battery, the current from the battery is 1. 57 A. When the resistors are connected in parallel to the battery, the total current from the battery is 10. 5 A. Determine the two resistances

Answers

The resistance of two resistors are R1 is and R2 is 1.4ohms and 6.2ohms respectively where R1 is smaller and R2 is larger resistance.

Given the voltage of battery (V) = 12V

Let the resistance of smaller resistor = R1

Let the resistance of larger resistor = R2

The current in circuit when connected in parallel (Is) = 1.57A

Ohms law states that V = IR where V is voltage R is resistance and I is current.

When resistors are connected in series Rs = R1 + R2

V =Is(R1 + R2)

R1 + R2 = 12/1.57 = 7.6

R1 = 7.6 - R2

When resistors are connected in parallel 1/Rp = 1/R1 + 1/R2

then Rp = R1R2/R1 + R2

The current in parallel circuit (Ip) = 10.5A

V = Ip(R1R2/R1+R2)

R1R2 = 12 x (7.6) / 10.5 = 8.68

(7.6 - R2)R2 = 8.68

R2^2-7.6R2+8.68 = 0

R2 = 6.2ohm

R1 = 7.6 - 6.2 = 1.4ohms

Hence the smaller resistance is 1.4ohms and larger resistance is 6.2ohms.

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