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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an electron traveling north enters a region where the electric field is uniform and points north. the electron:
When an electron traveling north reaches an area with a consistent electric field facing north, the electron's speed and direction of motion are altered.
What is an electron?A negatively charged subatomic particle known as an electron can either be free or attached to an atom. In the electron cloud, which is located outside of the atomic nucleus, exist electrons.
An electric field that is oriented northward will exert a force on an electron moving northward through it. The electron will accelerate in the field's direction as a result of this force. The strength of the electric field and the charge of the electron will determine how much the acceleration is.
The electron will continue to receive a constant force and move in a straight line with a constant acceleration in a uniform electric field since the electric field's direction is constant. As the electron passes through the electric field, both its velocity and kinetic energy will increase.
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if you whirl a yo-yo about your head in a horizontal circle, in what direction must a force act on the yo-yo? what exerts the force?
On the off chance that you spin the yo-yo head in an even circle, you should apply force toward the circle's middle. This force is known as the centripetal force.
The centripetal force continually pulls the yo-yo towards the center of the circle, keeping it moving in a round movement.
The power that conveys the centripetal force to the yo-yo is the pressure in the string.
The string, which pulls the yo toward the circle's middle, gives the centripetal force important to keep up with movement. The string is focused on because of the heaviness of the yo-yo and the speed at which it turns.
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which statements are true regarding a conductor in electrostatic equilibrium? a: all unbalanced charges must lie on the surfaces of the conductors. b: the electric field immediately outside a conductor must be perpendicular to the conductor. c: the electric field is zero inside the conductor.
All the statements are true regarding a conductor in electrostatic equilibrium.
The correct answer: A, B and C.
All unbalanced charges must lie on the surfaces of the conductors. The electric field immediately outside a conductor must be perpendicular to the conductor. The electric field is zero inside the conductor.In addition to the three statements that are true regarding a conductor in electrostatic equilibrium, there are a few other important facts to consider when dealing with electric fields. In an electrostatic field, the electric field lines are always perpendicular to the surface of the conductor. This means that any unbalanced charge on a conductor's surface must produce an electric field that is also perpendicular to the surface.
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Vikram and Shruti are sitting on the back seat of a car, Vikram says that both of us are at rest while Shruti says that both of us are in motion. Then they decide to place their problem before the science teacher. The teacher explained their problem with concerning facts.
Answer:pizza party
Explanation:
what happens when a falling object reaches terminal velocity?(1 point) responses it hits the ground and stops. it hits the ground and stops. it speeds up. it speeds up. it slows down. it slows down. it stops accelerating. it stops accelerating.
When a falling object reaches terminal velocity, it stops accelerating.
option D.
What happens when a falling object reaches terminal velocity?
When a falling object reaches terminal velocity, it means it has reached the maximum speed it can attain while falling due to the drag force (air resistance) acting upon it, which is equal in magnitude to the gravitational force acting upon it.
At terminal velocity, the net force on the object is zero, so its velocity remains constant and it falls at a constant rate. The terminal velocity of an object depends on its mass, size, shape, and the density of the fluid it is falling through.
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why can you charge the aluminum plate again and again and the charge on the styrofoam plate never seem to run ou
The charge on the styrofoam plate never seems to run out, as the charge cannot move away from the surface due to its insulating properties.
The aluminum plate and the styrofoam plate have different electrical properties that affect their ability to hold charge. Aluminum is a conductor, meaning it allows the flow of electrical charge, whereas styrofoam is an insulator, which does not allow the flow of charge. When an aluminum plate is charged, the charge can easily move through the conductor, and any excess charge can flow away to ground.
Therefore, the aluminum plate can be charged again and again, as long as there is a source of charge to transfer. In contrast, the styrofoam plate, being an insulator, cannot conduct charge, and any charge that is deposited on it stays trapped on the surface.
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for the point charges arragement shown in the figure find the net electrostatic force exerted on Q by q1 and q2
The net electrostatic force exerted on Q by q1 and q2 is
F=9.99 *10^-2
What are point charges?Generally, Point charges are hypothetical charges concentrated at a single point in space. They are used in physics and electrical engineering to simplify the analysis of electrical fields and their interactions.
Point charges are considered to be dimensionless, that is, they have zero size, and they have a magnitude that is either positive or negative, depending on whether the charge is a proton or an electron, respectively. In reality, point charges do not exist, as all charges are distributed over a finite volume, but they are a useful abstraction for certain calculations and simulations.
[tex]& K=\frac{1}{4 \bar{R} \varepsilon} \\\\& =\frac{1}{4 \times 3.142 \times 8-854 \times 10^{-12}} \\\\& =\frac{1}{1-112626454 \times 10^{-10}} \\[/tex]
=8.79 *10^9
[tex]f=\frac{k /q1 / /q2/}{r^2}[/tex]
r=0.30 +0.30
r=0.6
[tex]F=\frac{8.17 \times 10^7 \times\left(2 \times 10^{-6}\right) \times\left(2 \times 10^{-6}\right)}{0.6^2} \\[/tex]
[tex]F=\frac{(8-11 \times 2 \times 2) \times\left(101 \times 10^{-6} \times 10^{-6}\right)}{0.36} \\[/tex]
[tex]& F=\frac{35.96 \times 10^{-3}}{0.36} \\[/tex]
F=9.99 *10^-2
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stan is teaching a german shepherd to jump through hoops. initially, he gives the german shepherd a treat for approaching the hoop, then only for jumping up in front of the hoop, and finally only for jumping through the hoop. stan is using the method of
Early reinforcement reinforces actions that closely resemble the intended behaviour. Later, reinforcement is limited to actions that closely resemble the desired behaviour.
What is the use of successive approximations method?The technique of consecutive approximations is referred to as a "algorithm or algorithmic process" and is used to solve equations of a specific class using a series of simple arithmetic operations.
One of the well-known traditional approaches for solving integral equations is the successive approximations method (SAM). In the literature, it is sometimes referred to as the Picard iteration approach.
In fact, this approach offers a strategy for resolving initial value issues or integral equations. A strategy for modifying operant behaviour that involves rewarding responses that resemble the intended behaviour.
Therefore, stan is using the method of successive approximations.
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what is the downward force exerted by the atmosphere on a football field whose dimensions are 110 m by 49 m ?
The downward force exerted by the atmosphere on a football field whose dimensions are 110 m by 49 m is 546×10⁶ N.
The atmospheric pressure or air pressure is the force exerted on a surface by the air above it as gravity pulls it to Earth. Atmospheric pressure is commonly measured with a barometer. The force of buoyancy exerted by the atmosphere on a balloon is B in the upward direction and remains constant. The force of air resistance on the balloon acts opposite to the direction of velocity and is proportional to it. The total downward force exerted by the atmosphere on a football field is found using the atmospheric pressure. So, P atm. A=F. Where A is the area of the football field, A=a⋅b=110 m⋅49m. Finally F=101.3 kPa. 110.49 m² = 546×10⁶ N.
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a hiker walks with an average speed of 1.5 m/s. what distance in kilometers does the hiker travel in a time of 1.7 hours?
A hiker walking with an average speed of 1.5 m/s would travel a distance of 2.55 kilometers in 1.7 hours.
This can be calculated using the equation Distance = Speed x Time, or D = S x T. Substituting the given values, we get D = 1.5 m/s x 1.7 hours = 2.55 kilometers.
Speed is a scalar quantity that refers to how quickly an object is moving. It is typically measured in meters per second (m/s). Speed is related to how much distance an object covers over a given amount of time. The faster an object moves, the greater the distance it covers in a given amount of time, and thus the greater its speed. Speed can also be measured in other units, such as miles per hour (mph).
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a box is supported by a 5.2 n vertical force and carried 2.5 m horizontally across a room at constant speed. then, the same box is pushed 2.5 m horizontally across a smooth table (smooth enough to ignore friction) by a 5.2 n horizontal force. in which case was more work done on the box by the 5.2 n force?
In the second scenario, more work done on the box by the 5.2 N force compared to the first scenario where no work was done.
The work done on an object is equal to the force applied to it multiplied by the distance it moves in the direction of the force. In the first scenario, the 5.2 N vertical force applied to the box is perpendicular to the direction of motion, so no work is done by this force.
In the second scenario, the 5.2 N horizontal force is in the same direction as the movement, so work is done by this force. The work done by the force can be calculated as follows:
W = F × d = 5.2 N × 2.5 m = 13 Nm
So, in the second scenario, more work was done on the box by the 5.2 N force compared to the first scenario where no work was done.
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10 kg of R-134a fill a 1. 115-m3 rigid container at an initial temperature of –30°C. The container is then heated until the pressure is 200 kPa. Determine the final temperature and the initial pressure. Use data from the steam tables
Gas has a final temperature of 273.6 K and a starting pressure of 177.6 kPa.
R-134a is 1,1,1,2-tetrafluoroethane, as is well known.
Using the ideal gas formula:
PV =nRT PV = w/M RT, where P = gas pressure =? and V = gas volume = 1.115 m3.
T = gas temperature (-30°C) = 273 + (-30) = 243K
R is 8.314 m3 Pa/mole, which is the gas constant. M = molar mass of R-134a gas = 102.03g/mole K = mass of gas = 10 kg = 10,000 g
When you plug in all the values provided, you get the ideal gas equation: P = 1.115m3 = 10000 g/102.03 g/mole 8.314 m3 Pa/mole. 177587.9687 Pa = 177.6 kPa = K 243K P
Consequently, the gas's starting pressure is 177.6 kPa.
We now need to determine the gas's final temperature.
Gay-Law Lussac states that for constant volume and number of moles, the pressure of a gas is precisely proportional to its temperature.
P∝T
P1/T1 = P2/T2
where
P1 is the initial pressure of gas = 177.6 kPa
P2 is the final pressure of gas = 200 kPa
T1 is the initial pressure of gas = ?
T2 is the final pressure of gas =
177.6 kPa/243K = 200 kPa/T2
T2 = 273.6 K
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Please help with the Task question
When the angle of incident light moves away from 90 degrees, the average intensity of the light incident on a flat surface area diminishes. This how the incident light affect the power output of solar cell.
How does solar cell output depend on light intensity?With an increase in light intensity, solar cells' open loop voltage, short-circuit current, and maximum output power increases. Therefore, it is clear that the solar cell outperforms at producing energy the more concentrated the light is.
How does the solar cell's power output change depending on how far the light source is from it?The amount of energy produced will diminish as the distance between the light source and the solar cell grows. This is caused by the fact as light spreads out immediately after it departs the source, but the amount of light remains unchanged.
How does a solar cell's surface area influence how much power it tends to produce?In order to be able to to point towards the Sun when the spaceship moves, solar panels must have a large surface area. Greater sunlight can be extracted from solar light by presenting more surface area.
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what would you expect when low pressure forms on earth's surface? group of answer choices convergence and sinking air convergence and rising air divergence and sinking air divergence and rising air
Whenever low pressure builds up upon that earth's surface, we might expect divergence and rising air.
What does physics' SI unit for pressure mean?
Pressure is defined as the force acting on a body's surface area divided by its volume. Mathematically, it can be expressed as follows: The SI pressure unit is the Pascal (Pa). Every Newton of force exerts one Pascal of pressure on a square centimeter of ground.
What factors determine pressure?
P = F / A, meaning force per unit of surface area, is the formula for computing pressure. The sign representing pressure in scientific theory is p, and the Standard unit for maintaining pressure is the pascal (symbol: Pa). One pascal is equivalent to one Newton per square meter of force applied perpendicularly to a surface.
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Full question-
an electromagnet draws 3 kw of active power and 4kvar of inductive reactive power. what is the apparent power?
The required apparent power when active power and reactive power are specified is calculated to be 5 kva.
Apparent power is the measure of alternating current power that is computed by multiplying rms current by rms voltage. The overall amount of power required to operate a computer, illuminate a lightbulb, and power a production system is known as apparent power.
The power that is actually used for a particular load, or the active power or real power, if all the available power isn't used.
The active power drawn by the electromagnet (P) = 3 kw
The reactive power drawn by the electromagnet (Q) = 4 kvar
The apparent power is given by the equation,
S = √(P² + Q²) = √(3² + 4²) = 5 kva
Cos Ф is the power factor.
It is given by,
Cos Ф = active power/apparent power = 3 kw/5 kva = 0.6
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A person drives a car around a circular cloverleaf with a radius of 56 m at a uniform speed of 10 m/s.
(a) What is the acceleration of the car?
m/s2
the center
(b) Compare this answer with the acceleration due to gravity as a percentage.
%
Would you be able to sense the car's acceleration if you were riding in it?
Yes
No
A person drives a car around a circular cloverleaf with a radius of 56 m at a uniform speed of 10 m/s.
(a) What is the acceleration of the car?
m/s2
the center
(b) Compare this answer with the acceleration due to gravity as a percentage.
%
Would you be able to sense the car's acceleration if you were riding in it?
Yes
No
The acceleration of the car is 1.78 m/s² and the compared percentage with acceleration due to gravity is 18.16%.
What is the acceleration?The change in the rate of an object's velocity with respect to time is defined as acceleration. Vector quantities are accelerations. The orientation of an object's acceleration is determined by the orientation of its net force.The acceleration of gravity is the acceleration of any object moving solely under the influence of gravity.To find the acceleration,
Velocity = 10m/s
Radius = 56 m
The formula to find acceleration is,
a = v²/r
By substituting the values,
a = 10²/56
= 100/56
= 1.78 m/s²
As a result, the acceleration due to gravity as a percentage is 9.8 m/s².
Percentage required = (1.78 /9.8) x 100
= 18.16%
18.16% is the required percentage.
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What is the benefit of cooling down after exercise?
It allows the body to increase blood flow.
It keeps blood from pooling in the limbs.
It prepares the body for exercise.
It keeps the muscles flexed.
Answer:
It allows the body to increase blood flow.
earth's main energy outputs are question 31 options: ultraviolet radiation and visible radiation. gamma rays, x-rays, and ultraviolet radiation. visible and infrared radiation. reflected light and thermal infrared radiation.
The Earth's main energy outputs are reflected light and thermal infrared radiation. Option D is correct.
The Earth reflects a portion of the incoming solar radiation back into space, mainly in the form of visible light. Additionally, the Earth radiates thermal energy back into space in the form of infrared radiation, which is produced by the warm surface and atmosphere of the planet.
Ultraviolet radiation, gamma rays, and X-rays are not the main energy outputs of the Earth, but they do reach the Earth's surface in small amounts, mainly as a result of the Sun's emission of these types of radiation.
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--The given question is incorrect, the correct question is
"Earth's main energy outputs are : A) ultraviolet radiation and visible radiation. B) gamma rays, x-rays, and ultraviolet radiation. C) visible and infrared radiation. D) reflected light and thermal infrared radiation."--
what is the real reason we have different moon phases?
Recall that the moon orbits the Earth, which affects how the moon appears to be in different phases. Half of the moon always receives sunlight as it orbits the Earth.
Darkness is always present on the moon's other side. It depends on the situation whether we can see the illuminated components.
What is the reason for the different phases of Moon?
Due to the Moon's orbit around Earth and Earth's orbit around the Sun, we experience varying amounts of Moonlight throughout the course of a month. Moving is everywhere. A lunar eclipse prevents the Moon from receiving sunlight because Earth is positioned between the Sun and the Moon. All or a portion of the lunar surface is obscured by Earth.
What are the 4 main phases of the Moon?
We generally pay attention to the new moon, first quarter, full moon, and third quarter of the moon. The lunar cycle has a week-long interval between each of these moon phases.
What causes the Moon to look different every 3/4 days?
As a result of its orbit around the Earth, the moon experiences phases. From Earth, we can observe that the sun illuminates the moon to a varying extent depending on its position in relation to the Earth. The moon can be completely dark or completely illuminated.
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Iron-cutting scissors have short edges, whereas cloth-cutting scissors have long edges. Why
Answer:
It depends on the amount of pressure needed to cut the material.
Iron is a tougher material to cut though, so the blades must be shorter to create more pressure to break through the iron.
Cloth on the other hand is easier to cut through so the blades can be longer in order to cut more in each snip.
Explanation:
Wilbur the pig is on the run from farmer Zuckerman. He climbed a hill and found a sled. The snow
that day was perfectly frictionless. The smooth downhill slope he was about to take was elevated 55
meters above a horizontal landing (also frictionless). If his sled started moving from rest (V₁ = 0,
initial velocity is zero) what would Wilbur's velocity be once he reached the horizontal landing?
Assume all friction of any kind is negligible (ETH = 0).
Wilbur's velocity when he reaches the horizontal landing will be approximately 55.6 m/s.
What do you mean by velocity?
Velocity is a vector quantity, meaning it has both a magnitude and a direction. It is a measure of the rate of change of an object's position in a given direction. The velocity of an object is the rate of change of its position in a given direction and is usually expressed as a vector quantity, with speed and direction.
First, we need to calculate the acceleration due to gravity (g):
g = 9.8 m/s²
We can then use the equation for constant acceleration:
V₂ = V₁ + (a * t)
Where V₂ is the final velocity, V₁ is the initial velocity, a is the acceleration and t is the time.
Since Wilbur's initial velocity is 0 (V₁ = 0) and the acceleration is 9.8 m/s², we can solve for the time (t):
t = (V₂ - V₁) / a
Since the final velocity is unknown, we can rearrange the equation to solve for it:
V₂ = (a * t) + V₁
We can now substitute in the values for a and t:
V₂ = (9.8 m/s² * (55 m / 9.8 m/s²)) + 0
V₂ = 55.6 m/s
Wilbur's velocity once he reached the horizontal landing would be 55.6 m/s.
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a tree house is 8 m above the ground. if peter does 360 j of work while pulling a box from the ground up to his tree house with a rope, what is the mass of a box?
To find the mass of the box, we can use the equation for work done by gravity, which is: Work = Force x Distance is 4.64 kg
where Force is the force required to lift the box, and Distance is the distance the box is lifted.
The force required to lift an object is given by the equation:
Force = Mass x Gravity
where Mass is the mass of the object and Gravity is the acceleration due to gravity (9.8 m/s^2 on the surface of the Earth).
So, we can substitute the Force equation into the Work equation to get:
Work = Mass x Gravity x Distance
Rearranging this equation, we get:
Mass = Work / (Gravity x Distance)
Now, we can substitute the known values into this equation:
Mass = 360 J / (9.8 m/s^2 x 8 m)
Mass = 360 J / 77.6 J/kg
Mass = 4.64 kg
So, the mass of the box is approximately 4.64 kg.
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17. A microwave has a wavelength of 3 cm and a speed of 3 x 108 m/s. Calculate the frequency.
Important Formulas:
[tex]v=\lambda f[/tex]
velocity(measured in m/s) = wavelength(measured in meters) * frequency(measured in hertz)
__________________________________________________________
Given:
[tex]\lambda=0.03m[/tex] (cm to m)
[tex]v=300,000,000m/s[/tex] (speed of light)
[tex]f=?[/tex]
__________________________________________________________
Rearranging formula for velocity to make frequency the subject:
[tex]v=\lambda f[/tex]
[tex]\dfrac{v}{\lambda} =\dfrac{\lambda f}{\lambda}[/tex]
[tex]f=\dfrac{v}{\lambda}[/tex]
__________________________________________________________
Finding frequency:
[tex]f=\dfrac{v}{\lambda}[/tex]
[tex]f=\dfrac{300,000,000}{0.03}[/tex]
__________________________________________________________
Answer:
[tex]\boxed{f = 1\times10^{10} Hertz}[/tex]
when the athlete holds the barbell on his hand, the reaction force is the weight of the barbell on his hand. how does this force vary for the case where the barbell is accelerated upward? downward?
The reaction force on the athlete's hand holding a barbell over their head increases when the barbell is accelerated upward and decreases when accelerated downward.
When the athlete lifts the barbell overhead, the reaction force on their hand is equal to the weight of the barbell. But when the barbell is accelerated upward: the athlete must apply a greater force to lift it, resulting in an increased reaction force on their hand.
Conversely when the barbell is accelerated downward: the athlete's force is less than the weight of the barbell, resulting in a decreased reaction force on their hand. These changes in reaction force are a result of Newtons third law of motion which states that every action has an equal and opposite reaction.
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what is the wavelength that you hear if you are standing behind the ambulance? express your answer to three significant figures and include the appropriate units.
The detected sound has an approximate frequency and wavelength of 2766 2766 2766 Hz and 0.124 0.124 0.124 m, respectively.
Why do ambulances use low frequency sound?The Rumbler has a higher vehicle penetration capability than an electrical siren alone thanks to its low frequency content. This function increases The Rumbler's ability to alert drivers, particularly when the listener's view of the emergency vehicle is obscured.
Are ambulances loud?The ambulance's acoustic noise levels were 130–135 dB–A when viewed from 1 metre away from the car. Due to effective soundproofing, acoustic noise levels are much lower and don't exceed 80 dB-A.
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(A) A small mass of 0.60 kg is rotated at the end of a string in a horizontal circle of radius 1.20 m. The string will break if the tension exceeds 60 N. What is the GREATEST frequency of revolution that is possible? (B) the same mass of 0.60 kg is now rotated at the end of another string at a constant speed, v, in a vertical circle of radius 1.20 m. the minimum tension in the string is 2.1N (I) state and explain where the tension in the string is maximum and minimum (ii) find the speed of the mass
(a) The maximum frequency of revolution is 4.0 rad/s.
b (i) The tension in the string is maximum when the object is at the top of its path and minimum when it is at the bottom of its path.
b (ii) The speed of the mass can be found using the minimum tension in the string is 2 m/s.
What is the maximum frequency of revolution?
The maximum frequency of revolution is given by the maximum tension in the string, which is 60 N.
T = mv² / r
where;
m is the mass of the object (0.60 kg), v is its linear speed, r is the radius of the circle (1.20 m).The linear speed is given by:
v = 2πrf
where;
f is the frequency of revolutionf = √T / (mr²))
f = √(60 / (0.60 x 1.20²))
f = 4.0 rad/s
(i) The tension in the string is maximum when the object is at the top of its path and minimum when it is at the bottom of its path. This is because the tension provides the centripetal force that keeps the object moving in a circular path.
(ii) The speed of the mass can be found using the minimum tension in the string, which is 2.1 N:
T = mv² / r = 2.1 N
Rearranging and solving for v, we get:
v = √(Tr / m)
v = √(2.1 x 1.20 / 0.60)
v = 2.0 m/s
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a magnetic levitation system is shown below. an applied voltage v(t) creates a circuit current i(t), which causes a magnetic force fem(t) to act on the steel ball. the objective is to levitate the ball by manipulating the voltage. this nonlinear force can be modeled as:
The magnetic force acting on the steel ball can be modeled as [tex]Fem(t) = B0 + B1V(t) + B2V(t)^2[/tex] , where B0, B1, and B2 are constants and V(t) is the applied voltage.
This nonlinear force can be used to manipulate the voltage to levitate the ball. To do this, the voltage must be adjusted to find the equilibrium point where the force is zero, which is the point at which the ball is floating in the air.
To find the equilibrium point where the force is zero, you can use a numerical optimization technique such as gradient descent. This involves continuously adjusting the voltage while monitoring the force, until the force is close enough to zero that the ball is levitating.
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a person sings musical note which has a frequency of 256 Hz , how many times do the person's vocal chords vibrate each second ?
Answer: no question is wron
Explanation:
a spring has a natural length of 15 cm. it takes 50 joules of work to stretch it to 35 cm. how much work is needed to stretch it from a length of 35 cm to 85 cm?
In the first phase, you are conflating force and labour. Your supplied quantity is work since work is defined in joules. Given that you are 0.5 meters away from equilibrium,
The joule (unit J) is what?
What is a Joule (unit J) - Definition of an Energy Unit One energy unit. Energy is often thought of as the capacity to produce heat or work. 2 Joules of energy. Joule (unit: J) (unit: J). A derived energy unit is the joule. Three examples of 1 joule of energy. The energy is converted into kinetic of a 1 kilogram object traveling at a speed of 2 m/s
What does one joule of energy mean?
A derivative unit of energy is the joule. It is the amount of energy transmitted to an item when a one newton force is applied to it in the plane of its motion across a one meter distance. 0.239 calories make up 1 joule. 9.48 × 10-4 BTU equals 1 joule. A joule equals 2.778 x 10-7 kWh. Examples of 1 Joule of Energy
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how much tension must a rope withstand if it is used to accelerate a 1110- kg car horizontally along a frictionless surface at 1.20 m/s2 ?
The tension force in the rope must withstand a force of 12,270 N to accelerate the 1110-kg car horizontally at 1.20 m/s^2 along a frictionless surface.
The tension force in the rope must be equal to the gravitational force plus the net force required to accelerate the car horizontally.
The equation for this can be determined using Newton's second law of motion, which states that the net force acting on an object is equal to its mass times acceleration (F = ma).
Given that the car has a mass of 1110 kg and is being accelerated at a rate of 1.20 m/s^2, the net force can be calculated as follows:
F = ma = 1110 kg * 1.20 m/s^2 = 1332 N
Since the surface is frictionless, the only force acting against the car is gravity. The gravitational force acting on the car can be calculated using the equation:
Fg = m * g
where m is the mass of the car (1110 kg) and g is the acceleration due to gravity (9.8 m/s^2).
Fg = 1110 kg * 9.8 m/s^2 = 10,938 N
Therefore, the tension force in the rope must be equal to the sum of the gravitational force and the net force, or:
Tension force = F + Fg = 1332 N + 10,938 N = 12,270 N
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