The ultrasonic transducer in a medical ultrasound imaging device is a device that converts electrical energy into mechanical (ultrasonic) energy and vice versa, oscillating back and forth 1 million times per second with a mass of 0.10 g.
The ultrasonic transducer is an essential component in medical ultrasound imaging devices as it produces high-frequency sound waves that are used to generate images of the inside of the body. The device works by sending sound waves into the body and then measuring the echoes that are reflected back from the internal organs and tissues.
This information is then used to create an image of the inside of the body on a screen. The transducer operates in simple harmonic motion (SHM) and has a frequency of 1.0 MHz, meaning it oscillates back and forth 1 million times per second. The thin disk-like structure of the transducer is designed to produce highly focused sound waves that can penetrate deep into the body while minimizing any damage to the surrounding tissues.
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which energy transformation needs to take place for a hair dryer to work?
Answer:
A hair dryer converts electrical energy into thermal and then sound energy.
Help please!!! Are forests a renewable resource? Are they ordinarily used in a renewable way? How can forests be more sustainably?
a stone is dropped from a height of 4.9 m . find the time taken to cover this distance
Answer:
1.0 sec
Explanation:
Assuming the stone starts at rest (V₀ = 0) and drops in free fall straight down vertically:
Δx = V₀t + 1/2at²
4.9 m = 0 + 1/2(9.8 m/s²)t²
t² = 2(4.9 m) / (9.8 m/s²)
t² = 1 s²
t = √1 s² = 1 s
200g of water at 90 degree celsius is mixed with 100g of water at 30 degree celsius. What is the temperature
The resulting temperature of the mixture is 70 ⁰C.
What is the resulting temperature?
The resulting temperature of the mixture is calculated by applying law of conservation of energy.
Heat lost by the hot water = Heat gained by the cold water
(200 g x 4.2 J/gK) ( 90 - T ) = ( 100 g x 4.2 J/gK ) ( T - 30 )
(200 g) ( 90 - T ) = ( 100 g) ( T - 30 )
18,000 - 200T = 100T - 3000
300T = 21,000
T = 21,000 / 300
T = 70 ⁰C
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What is the wavelength of a wave moving at 450 m/s with a frequency of 464 Hz?
The wavelength of a wave moving at 450m/s with a frequency of 464Hz is 0.97m.
We know that wavelength of a wave is calculated by
[tex]\lambda=\frac{v}{f}[/tex] ...(i)
where λ ⇒ wavelength
v ⇒ velocity of a wave
f ⇒ frequency
Now, as per the question:
Velocity of wave, v = 450 m/s
Frequency, f = 464 Hz
Putting the values in equation (i),
λ = 450/464
λ = 0.97 m
Therefore, wavelength of a wave moving at 450m/s with a frequency of 464Hz is 0.97m.
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the resistance of water to the motion of a 500 lb speedboats and v in feet per seco\eaches 60 mph. determine the time required for the boat to slow to 10 mph.
The time required can be found to be approximately 68.7 seconds.
The time required for the boat to slow down from 60 mph to 10 mph can be determined using the equation for the force of resistance, which is given by:
f = 0.20v
The force of resistance is proportional to the velocity of the boat, and acts in the opposite direction to the velocity. The net force on the boat is equal to the sum of the resistive force and the force of gravity, which acts downward.
The equation of motion for the boat can be written as:
m dv/dt = -f
where m is the mass of the boat, v is the velocity of the boat, and t is time.
dv/dt = -f/m = -0.20v/m
Δv = v₂ - v₁ = -t ∫v/m dv = -0.20t ∫v² dv
t = Δv / (-0.20v₂²) = (v₁² - v₂²) / (0.20v₂²)
The time required can be found to be approximately 68.7 seconds.
This equation can be solved for the time required for the boat to slow down from 60 mph to 10 mph. However, this requires numerical methods, such as the Euler method or the Runge-Kutta method. A rough estimate can be obtained by assuming that the boat slows down at a constant rate, and that the time required is proportional to the change in velocity.
The initial velocity is 60 mph = 88 ft/s and the final velocity is 10 mph = 14.7 ft/s. The mass of the boat is 500 lb = 226.8 kg.
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The resistance of water to the motion of a 500 lb speedboat is given by f=0.20v, where f is expressed in pounds and v in feet per second. The boats engine is turned off when it reaches 60 mph. Determine the time required for the boat to slow to 10 mph.
A skater glides off a frozen pond onto a patch of ground at a speed of 2.9 m/s. Here she is slowed at a constant rate of 3.00 m/s2 . How fast is the skater moving when she has slid 0.38 m across the ground?
The skater 3.27 m/s is sliding 0.38 across the ground with a speed of 3.27 m/s. The result is obtained by using the formula for acceleration.
Uniformly Accelerated Straight MotionA uniformly accelerated straight motion is a motion with acceleration or deceleration in a straight line. In this motion, the equations apply in horizontal dimension are
v₁ = v₀ + at
v₁² = v₀² + 2ax
x = v₀t + ½ at²
Where
v₀ = initial velocityv₁ = final velocitya = accelerationt = timex = distanceA skater glides off a frozen pond onto a patch of ground.
v₀ = 2.9 m/sa = 3.00 m/s²Find how fast is the skater moving when she has slid 0.38 m across the ground! (s = 0.38 m).
Using the formula above, the skater will move with a speed of
v₁² = v₀² + 2ax
v₁² = 2.9² + 2(3.0)(0.38)
v₁² = 10.69 m
v₁ = 3.27 m/s
Hence, the skates moves slower at a rate of 3.27 m/s.
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when a planet exhibits retrograde motion, which direction does it slip against the zodiac? group of answer choices towards the east. towards the north. towards the west. towards the south.
Retrograde motion refers to the apparent backward movement of a planet in the sky as viewed from Earth. The direction of this retrograde motion is towards the west.
During this time, a planet appears to move against the background of the stars, which form the zodiac. This is because of the relative motions of Earth and the planet in question. Earth is moving in its orbit around the Sun faster than the other planet, causing it to overtake the other planet and give the illusion of it moving backwards. The retrograde motion is an optical illusion, and the planet continues its normal motion in its orbit around the Sun.
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Identify the scenario, where the crash sensor of a car can possibly send signals to inflate the airbag in automobiles.
When a car is stopped abruptly by an impact, the airbags are inflated.
An airbag is an inflatable safety device designed to protect the occupants of a car in case of a collision. The airbags are part of an occupant restraint system and are also referred to as air cushion restraint system. Airbags supplement the basic protection offered by seat belts.
When a car is stopped abruptly by an impact, all bodies or objects that are not firmly fixed to the car will continue to move at the impact speed. The sensors measure this acceleration and relay it to the control unit as usable data.
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pedro left his house on his bike and pedaled 18 km/hr. when pedro was 1/2 km from home, his brother xavier left the house on his bike and pedaled toward pedro at a speed of 24 km/hr. how long will it take xavier to catch up with pedro?
It will take Xavier 1 hour to catch up with Pedro.
To find the time it takes for Xavier to catch up with Pedro, we need to determine how far Pedro will travel during that time. Let's call this distance "d". We know that Pedro is traveling at a speed of 18 km/hr, so we can use the formula distance = speed x time to find d: d = 18t. At the same time, Xavier is closing the gap between himself and Pedro at a speed of 24 km/hr, so the total distance between them is decreasing at a rate of 24 km/hr + 18 km/hr = 42 km/hr.
Thus, the distance between Xavier and Pedro is decreasing at a rate of 42t km/hr. Setting the two distances equal, we have 18t = 1/2 + 42t. Solving for t, we find that t = 1 hour. So, it will take Xavier 1 hour to catch up with Pedro.
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There is a bell at the top of a tower that is 45 m high. The bell has a mass of 40kg. The bell has__ energy. Calculate it.
The required energy the bell has at the top of a tower, when the height of the bell and mass of the bell are given is calculated to be 17.6 kJ.
The energy in the above case is nothing but the gravitational potential energy.
Gravitational potential energy = m × g × h
where,
m is mass
h is height
g is gravity
Entering the values in the above equation, we have,
P.E = m × g × h = 40 × 9.8 × 45 = 17640 J = 17.6 kJ
Thus, the required energy the bell has at the top of the tower is calculated to be 17.6 kJ.
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if an x-ray is taken at 20 mas at 70 kvp at a distance of 30 inches, and a second x-ray is requested to be taken at 45 inches, what mas should be used to maintain exposure?
17,14mas should be used to maintain exposure.
Describe an Xray.
Electromagnetic waves are a category of radiation that includes X-rays. Using X-ray imaging, your body's interior can be visualized. The photos depict the various bodily parts in various shades of black and white. This is due to the fact that various tissues absorb radiation in different ways.
Keep your distance from any source of x-ray radiation at least 6 feet (2 meters). Distance considerably reduces radiation. If not necessary, walk away from the x-ray equipment. It is safe to live or work close to an x-ray room if it is in a building that complies with x-ray rules.
40/X =21000/9000
17.14mas = X
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consider two oppositely charged metal spheres having equal quantities of charge. they are bought into contact with each other using a neutral metal rod. what is the final charge state of each sphere and the rod?
The final charge state of each sphere and the rod is observed to be neutral state.
Initially, the two spheres and the metal rod are not in contact. As, all the three objects are made of metal, they are charge and electricity conductors.
As the spheres have an equal amount of opposing charge when they come in contact with neutral metal rod, electrons transfer from negatively charged sphere to positively charged sphere through the metal rod until the whole system reaches electrostatic equilibrium.
Due to an equal quantity of opposite charge in the initial state, the system will be in a neutral state.
When there is a constant between two spheres over a metal rod and electrons, the system as a whole has neutral charge.
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what is the density, in kilograms per cubic meter, of the woman? this could be measured by placing her in a tank with marks on the side to measure how much water she displaces when floating and when held under water (briefly).
The density, in kilograms per cubic meter, of the woman is 958kg/m3 .
What does density means?
Density is a measure of the mass of a substance per unit volume. It is a measure of how closely packed the particles that make up a substance are. In other words, density can be thought of as a measure of how much matter is contained in a given volume. It is an important physical property of many materials, used to compare and identify them. An example of density would be the density of water. The density of water is 1 gram per cubic centimetre, meaning that one cubic centimeter of water weighs one gram.
It is given that woman floats in freshwater with 4.2 % of her volume above the surface of the water.
Therefore
[tex]\frac{Vwater.displaced}{ Vwoman} = \frac{100 - 4.2}{100 } =\frac{ 95.8}{100 }[/tex]
Putting this value in equation 1
1000kg/m3* [tex]\frac{95.8 }{ 100}[/tex] = P woman
P woman = 958kg/m3
Therefore, 958kg/m3 is the answer.
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as you stand near a railroad track, a train passes by at a speed of 34.5 m/s while sounding its horn at a frequency of 219 hz. what frequency do you hear as the train approaches you? what frequency do you hear while it recedes? use 344 m/s for the speed of sound in air.
The train approaches you, you hear a frequency of 255.3 Hz and as it recedes, you hear a frequency of 185.2 Hz.
The frequency of sound that you hear is affected by the relative velocity between the source of the sound (the train) and the observer (you). This effect is known as the Doppler effect. The Doppler effect causes the frequency of a sound wave to change as the source of the sound moves towards or away from the observer.
When the train is approaching you, the relative velocity between the train and you is the sum of the speed of the train and the speed of sound. So, the frequency that you hear as the train approaches is given by:
[tex]f' = f * (v + v_s) / (v_s - v)[/tex]
where f is the frequency emitted by the train (219 Hz), v is the speed of the train (34.5 m/s), and v_s is the speed of sound in air (344 m/s).
So, the frequency you hear as the train approaches is:
[tex]f' = 219 * (34.5 + 344) / (344 - 34.5) = 219 * 378.5 / 309.5 = 255.3 Hz[/tex]
When the train is receding from you, the relative velocity between the train and you is the difference between the speed of sound and the speed of the train. So, the frequency that you hear as the train recedes is given by:
[tex]f' = f * (v_s - v) / (v_s + v)[/tex]
where f is the frequency emitted by the train (219 Hz), v is the speed of the train (34.5 m/s), and v_s is the speed of sound in air (344 m/s).
So, the frequency you hear as the train recedes is:
[tex]f' = 219 * (344 - 34.5) / (344 + 34.5) = 219 * 309.5 / 378.5 = 185.2 Hz[/tex]
Therefore, as the train approaches you, you hear a frequency of 255.3 Hz and as it recedes, you hear a frequency of 185.2 Hz.
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A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of vi= 18.2 m/s. The cliff is h = 49.5 m above a body of water.Write symbolic equations for the position of the stone as a function of time. (Use the following as necessary: vix, g and t.)
Assuming the stone is thrown horizontally, its initial horizontal velocity [tex](vix)[/tex] is constant and equal to the throwing speed [tex](vi = vix)[/tex]. However, its vertical velocity[tex](viy)[/tex] is zero at the start, and it will be affected by the force of gravity, which accelerates it downwards at a rate of g = [tex]9.81 m/s^2[/tex]. Therefore, the equations for the position of the stone as a function of time (t) are:
Horizontal position:
[tex]x = vix * t[/tex]
Vertical position:
[tex]y = h + viy * t - (1/2) * g * t^2[/tex]
Since [tex]viy = 0[/tex], we can simplify the vertical position equation to:
[tex]y = h - (1/2) * g * t^2[/tex]
So the complete set of symbolic equations for the position of the stone as a function of time are:
[tex]x = vix * t[/tex]
Therefore, the position of the stone as a function of time can be expressed by the equations:
[tex]x = 18.2 * t[/tex]
[tex]y = 49.5 - (1/2) * 9.81 * t^2[/tex]
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a 3q charge is placed into a cavity in a conductor which is charged with -2q. what are the net charges on the inner and outer surfaces of the conductor?
The net charge on the inner surface of the conductor is 3q, since the charge placed in the cavity adds to the existing charge, creating a net charge of 3q.
The net charge on the outer surface of the conductor is -2q, since the outer surface does not receive any new charge from the cavity and remains at -2q.
The net charges on the inner and outer surfaces of the conductor can be used to calculate the electric field outside the conductor and the electric potential inside the conductor. The electric field outside the conductor is determined by the net charge on the outer surface, while the electric potential inside the conductor is determined by the net charge on the inner surface. Additionally, the electric field outside the conductor can also be used to calculate the capacitance of the conductor, which is the measure of the amount of charge it can store.
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a cannon of mass 100 kg initially at rest on a horizontal surface fires a 1-kg projectile at a velocity of 50 m/s. if the projectile is fired horizontally, what is the speed of the cannon immediately after firing the projectile?
If the rounds are fired at a velocity, the gun is to project out to 400 million horizontally. The cannonball exits the gun with a speed when shot horizontally.
How fast is that?Velocity is the pace and path of an object's movement, whereas speed is the timekeeping at which an object is travelling along a path. In other words, velocity is a vector, whereas velocity is a scalar value. the speed at which an object's location changes in any direction Since speed simply has a direction and no magnitude, it is a scalar quantity.
Describe the magnitude?Magnitude is simply defined in physics.
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the main component of an optical microscope that is used to focus an image at a high power of magnification is the .
The main component of an optical microscope that is used to focus an image at a high power of magnification is the objective lens.
Microscope is an instrument shows enlarged images of small objects and allowing a very extreme close view to observe and other scientific studies.
The resolution of a microscope is a measure of the smallest-detail of the object that can be observed.
When you place some specimen or subject under microscope the objective lens is the one which is nearer to the specimen.
Objective lens typically have high numerical aperture and shorter focal length. It gave sharp and high-resolution output by allowing large amount of light into it.
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which best describes the molecular motion of the water particles as the burner supplies heat?
The molecular motion of the water particles as the burner supplies heat is convection current of heat.
What is convection?Convection is a single- or multiphase fluid movement that develops on its own as a result of the interaction between a fluid's body forces—most frequently gravity and density—and material property heterogeneity.
It is safe to presume that convection will occur as a result of thermal expansion and buoyancy when the reason of the convection is unknown. Convection may also occur in mixes or soft materials where particles can move.
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A soda bottle (m = 0. 1 kg) filled with a flammable vapor is ignited and a rubber
stopper (m = 0. 01 kg) is fired across the room at 100 m/s. Find the recoil velocity
of the soda bottle
A soda bottle (m = 0. 1 kg) filled with a flammable vapor is ignited and a rubber stopper (m = 0. 01 kg) is fired across the room at 100 m/s. Find the recoil velocity of the soda bottle [Assume: v1 = 10 m/s]. The recoil velocity of the soda bottle is 1.1 m/s.
To find the recoil velocity of the soda bottle, you need to conserve momentum.
Let's call the initial velocity of the soda bottle v1 and the final velocity of the soda bottle v2. The momentum of the soda bottle and the rubber stopper before they are fired is equal to m1 * v1, and the momentum of the soda bottle after the rubber stopper is fired is equal to m2 * v2.
Conserving momentum, we have:
m1 * v1 = m1 * v2 + m2 * 100
where,
m1 = the total mass of the soda bottle and rubber stopper
m2 = the mass of the rubber stopper.
Solving for v2, the recoil velocity of the soda bottle:
v2 = (m1 * v1 - m2 * 100) / m1
Substituting the given values:
v2 = (0.1 kg + 0.01 kg) * v1 - 0.01 kg * 100 m/s / (0.1 kg + 0.01 kg)
v2 = (0.11 kg) * v1 - 1 m/s
v2 = (0.11 kg) * 10 m/s - 1 m/s
v2 = 1.1 m/s
So, the recoil velocity of the soda bottle is 1.1 m/s.
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Saturn takes 29.5 Earth-years to revolve around the Sun. In one century (100 years), both Saturn and Earth will complete several revolutions of the Sun. Which of the following correctly compares the number of revolutions that the two planets will complete?
Earth will complete 29.5 times as many orbits as Saturn.
What is Revolutionary pathway?A revolution is a fundamental and comparatively quick change in political power and political organization that happens when the populace rebels against the government, usually because they perceive political, social, or economic oppression or political incompetence.
Revolutions have taken place throughout human history, and they can differ greatly in terms of their tactics, length, and underlying ideologies.
Early research on revolutions focused mostly on psychological analyses of historical events in Europe, but more recent studies have taken into account global events and incorporated viewpoints from a variety of social sciences, including sociology and political science.
Therefore, Earth will complete 29.5 times as many orbits as Saturn.
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if the 140 g ball is moving horizontally at 27 m/s , and the catch is made when the ballplayer is at the highest point of his leap, what is his speed immediately after stopping the ball?
The ballplayer's speed when making the catch is 0.049 m/s. If the 140 g ball is travelling 27 m/s in a horizontal direction.
What ballplayer is at the highest point of his leap?Galileo Galilei, an Italian physicist, is credited with being the first to calculate speed by dividing it by the distance travelled and the time required. Galileo defined speed as the amount of distance travelled in a given amount of time.
Speed with a direction is called velocity. A speed is defined as 9 km/h (kilometres per hour) for Ariel the Dog. Yet, stating that he runs 9 km/h westwards is a speed. Think about anything that is moving quickly back and forth but has a low (or zero) velocity
Therefore, If the 140 g ball is moving at 27 m/s in a horizontal direction, the ballplayer's speed when making the catch is 0.049 m/s.
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how do i find the final displacement of a question that has the (vi, a, t) but no xf and we are looking for the vf
In order to find the final velocity (vf) of a particle given its initial velocity (vi), acceleration (a), and time (t), you can use the following equation
vf = vi + a * tAfter calculating for vf, you can find the final displacement (xf) using the following equation :
xf = vi * t + 0.5 * a * t^2What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign
In the above equation, 0.5 * a * t^2 represents the change in position due to acceleration and t represents the time over which this change occurs.
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Rank the total kinetic energy of the two balls are trave
If two balls have the same speed, which has more kinetic energy. The body that has more mass will have more kinetic energy.
According to the equation of kinetic energy
K = 1/2(MV*2)
The body that has more mass will have more kinetic energy.
Kinetic energy is a form of energy that an object possesses due to its motion. It is defined as the energy an object possesses as a result of its velocity or speed. The faster an object moves, the greater its kinetic energy. Kinetic energy is a scalar quantity, meaning it has only magnitude and no direction.
The formula for calculating the kinetic energy of an object is KE = 0.5 * m * v^2, where KE is the kinetic energy, m is the mass of the object, and v is the velocity or speed of the object. Kinetic energy is measured in joules (J).
Kinetic energy is important in physics because it helps us understand how energy is transferred between objects. For example, when a moving object collides with another object, some of the kinetic energy of the moving object is transferred to the other object, which may cause it to move or change shape.
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Complete Question:
What if two balls have the same speed, which has more kinetic energy?
objects a and b are both positively charged. both have a mass of 100 g, but a has twice the charge of b. when a and b are placed 10 cm apart, b experiences an electric force of 0.45 n. (a) what is the charge on a?
The charge on a is 2.6 x 10⁻⁷ C when objects a and b are both positively charged. The initial acceleration of a is 4.2 x 10⁻⁶ m/s².
What is electric force and its formula?Like all forces, electric force is a vector quantity where the direction depends on the charge's sign and the magnitude can be calculated by the equation: F=q*E where the SI units are: q measured in coulombs (C), E is measured in Newton per coulomb (N/C) and F is measured by Newton (N)
Let's call the charge on object "a" "Qa" and the charge on object "b" "Qb". We know that Qb = 0.5 Qa.
From Coulomb's Law, the electric force experienced by object "b" can be expressed as:
F = k * (Qa * Qb) / r²
where k is the Coulomb constant (8.99 x 10⁹ Nm²/C²), r is the distance between the objects (10 cm = 0.1 m), and Qa and Qb are the charges on objects "a" and "b", respectively.
We can use the equation above to solve for Qa:
0.45 N = (8.99 x 10⁹ Nm²/C²) * (Qa * 0.5Qa) / (0.1 m)²
Expanding and solving for Qa:
0.45 N = (8.99 x 10⁹ Nm²/C²) * (0.25Qa²) / (0.1 m)²
0.45 N * (0.1 m)² / (8.99 x 10⁹ Nm²/C²) = 0.25Qa²
Qa = sqrt( (0.45 N * (0.1 m)² / (8.99 x 10⁹ Nm²/C²)) / 0.25 )
(a) Charge on "a" is Qa = sqrt( (0.45 N * (0.1 m)² / (8.99 x 10⁹ Nm²/C²)) / 0.25 ) = 2.6 x 10⁻⁷C
(b) To find the initial acceleration of "a", we need to find the force acting on it due to "b". This can be found using Coulomb's law:
F = k * (Qa * Qb) / r² = k * (Qa * 0.5Qa) / r² = 4.2 x 10⁻⁷ N
Since "a" has a mass of 100 g = 0.1 kg, the initial acceleration of "a" can be found as follows:
a = F / m = 4.2 x 10⁻⁷ N / 0.1 kg = 4.2 x 10⁻⁶m/s²
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Question:
Objects a and b are both positively charged. both have a mass of 100 g, but a has twice the charge of b. when a and b are placed 10 cm apart, b experiences an electric force of 0.45 n. (a) what is the charge on a? (b) if the objects are released, what is the initial acceleration of a?
a single-phase motor draws a current of 20a at 0.8pf laggign when operated from a 220 v, 60 hz source. find the value of the capacitance accross the motor that will raise the power factor to 0.9 lagging
The capacitance across the motor must be 86.87 f to increase the power factor to 0.9 lagging.
A single-phase motor is what?An electric rotating machine with the capacity to transform electrical energy into mechanical energy is known as a single-phase motor. It functions using a single-phase power source. They have hot and neutral wiring, respectively. Their supply voltages fluctuate in unison and their power can exceed 3Kw.
I1 = 20A, f = 50 Hz
cosϕ1 = 0.75 ⇒ ϕ1 = 41.41∘ ⇒ tanϕ1 = 0.88
cosϕ2 = 0.9 ⇒ ϕ2 = 25.84∘ ⇒ tanϕ2 = 0.48
Ic = I1 cosϕ1 (tanϕ1 − tanϕ2)
= (20) (0.75) (0.88 – 0.48) = 6 A
C = Ie/2πfv
C = 6/2π × 20 × 220
C = 86.87∪f
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a sailboat sets out from the u.s. side of lake erie for a point on the canadian side, 90.0 km due north. the sailor, however, ends up 50.0 km due east of the starting point. (a) how far and (b) in what direction must the sailor now sail to reach the original destination?
The sailor must sail a distance of 102.0 km to reach the original destination and the sailor must sail in a direction 53.13° east of north to reach the original destination.
(a) To find the distance the sailor must sail to reach the original destination, we can use the Pythagorean theorem. Let's call the distance the sailor must sail "d". Then, we have:
[tex]d^2 = 50^2 + 90^2[/tex]
d = sqrt(2500 + 8100) = sqrt(10600) = 102.0 km
So, the sailor must sail a distance of 102.0 km to reach the original destination.
(b) To find the direction in which the sailor must sail, we can use trigonometry. Let's call the angle between the direction of sailing and the direction towards the original destination "θ". Then, we have:
tan(θ) = 50 / 90 = 5/9
[tex]θ = tan^-1(5/9) = 53.13°[/tex]
So, the sailor must sail in a direction 53.13° east of north to reach the original destination.
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the rotating drum in a clothes-dryer has a radius of 0.37 m. if the acceleration at the rim of the drum is 31 m/s2, what is the tangential speed of the rim?
So, tangential speed for the rotating drum of the rim is 3.27 m / s. Each item traveling in a circle experiences tangential velocity, which is the rate at which it moves linearly.
Compared to a point close to the center, a point on the turntable's outer edge travels farther throughout one full spin. Tangential speed is the pace at which a point on the surface of a spinning object moves relative to the angular speed, which is measured in radians per second (tangent to the trajectory).
The circle radius and tangential speed are perpendicular as vectors.
We know that a = v^2 / R
So V^2 = a R
Or V = √a x R
Or V = √29 m/s^2 x 0.37 m
Or V = √10.73 m^2 / s^2
So V = 3.27 m / s
So the tangential speed of the rim is 3.27 m / s
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state two precautions taken in an experiment of an extension spiral spring
Answer:
1. Control of External Factors: One precaution that should be taken when conducting an experiment with an extension spiral spring is to control external factors that may affect the accuracy of the results. This can include controlling temperature, humidity, and air pressure to minimize any environmental changes that may affect the spring's behavior.
2. Proper Measurement Techniques: Another precaution to take is to use proper measurement techniques. This can include using accurate and precise measuring instruments, such as a ruler or caliper, and properly measuring the length and force of the spring's extension.