the linear charge density of the infinite line of charge is 5 x 10^-6 C/m.
The linear charge density (λ) of an infinite line of charge is a measure of the charge per unit length. It is given by the equation:
λ = E / k. Where E is the electric field strength at a given point and k is the Coulomb's constant (9 x 10^9 N m²/C²). We know that the electric field strength at a distance of 2.0 m from the line of charge is 4.5 x 10^4 N/C. So we can substitute these values into the equation above to find the linear charge density:λ = (4.5 x 10^4 N/C) / (9 x 10^9 N m²/C²) λ = 5 x 10^-6 C/m Therefore, the linear charge density of the infinite line of charge is 5 x 10^-6 C/m. This means that there is 5 x 10^-6 Coulombs of charge per meter of length on the line of charge.
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What is the sound intensity level of a sound with an intensity of 4.0×10−6 W/m2 ?
Express your answer in decibels.
Answer: 66.02dB
Explanation: We use the equation β=(10dB)㏒([tex]\frac{I}{I_0}[/tex])
[tex]I_{0}[/tex]= the threshold of hearing which is 1.0×[tex]10^{-12}[/tex]W/[tex]m^{2}[/tex]
Plug in our knowns β=(10dB)㏒([tex]\frac{4.0*10^{-6} }{1.0*10^{-12} }[/tex])=66.02dB
A very powerful vacuum cleaner has a hose 2.27 cm in diameter. With no nozzle on the hose (no change to hose area), what is the weight of the heaviest brick it can lift
A very powerful vacuum cleaner has a hose 2.27 cm in diameter. The atmospheric pressure is 1.00 atm=101,300 Pa. then vacuume cleaner generate the force F = 65.1 N
What does diameter mean?A line that is straight and cuts through the middle of a body or figure. Particularly: the length of a diameter; a line segment passing through the center of a circle with its ends on the circumference.
Calculation -:Given,
diameter of the nose is d= 2.86 cm
radius of the nose r= 1.43 cm = 1.43× [tex]10^{-2}[/tex] m
We know F=P.A
where P is the atmospheric pressure and A is the surface area of the circulsr nose F is the force exerted by vacuume cleaner on the air
∴ F=P ( [tex]\pi r^{2}[/tex])
we know atmospheric pressure, p=1.013×[tex]10^{5}[/tex] pa
F = 1.013 × [tex]10^{5}[/tex] × 3.14 (1.43 × [tex]10^{-2}[/tex]) ^2
⇒ 65.1 N
⇒ F = 65.1 N
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Which of the following statements is probably true about the very first stars in the universe?
a. They were made only from hydrogen and helium.
b. H2
c. True
d. More massive than a hundred times the Sun
The correct statement about the very first stars in the universe is that they were made only from hydrogen and helium.
What is universe?
The universe is the totality of existence, encompassing all matter, energy, space, and time, and the physical laws and constants that govern them. It is the sum total of all that exists, was, and will be, including all galaxies, planets, stars, and phenomena such as light, gravity, and electromagnetic radiation. The universe is believed to have originated with a massive explosion known as the Big Bang, estimated to have occurred around 13.8 billion years ago. Since then, the universe has been expanding outward, ever increasing in size, complexity, and energy density. Scientists believe that the universe is composed of a vast array of components, including dark matter, dark energy, and dark radiation.
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A 1200 kg car rounds a curve of radius 80 meters banked at an angle of 20%. What speed must the car travel to experience no friction between the tires and the road?
Answer:
The speed the car must travel to experience no friction is approximately 16.9 m/s
Explanation:
The car and road data are;
The mass of the car, m = 1,200 kg
The radius of the road, r = 80 meters
Given that the angled at which the road is banked, θ = 20°
The friction between the tires and the road, at the required speed, [tex]\mu_s[/tex] = 0, No friction
We have;
[tex]\dfrac{v^2}{r \cdot g} = \dfrac{\left( sin \, \theta + \mu_s \cdot cos \, \theta \right)}{\left( cos\, \theta + \mu_s \cdot sin\, \theta \right)}[/tex]
Where [tex]\mu_s[/tex] = 0, we get;
[tex]\dfrac{v^2}{r \cdot g} = \dfrac{ sin}{ cos} = tan \, \theta[/tex]
∴ v² = r·g·tan(θ)
Where;
g = The acceleration due to gravity ≈ 9.81 m/s²
v = The speed at which the car travels
∴ v² = 80 m × 9.81 m/s² × tan(20°) = 285.64384 m²/s²
v = √(285.64384 m²/s²) ≈ 16.9 m/s
The speed with which the car must travel to experience no friction, v ≈ 16.9 m/s
What is the formula to calculate torque?
Torque = force x distance from point of rotation
Torque is a measure of the turning effect of an applied force about a specific point or axis. It is calculated by multiplying the force applied to an object by the distance from the point of rotation to the point where the force is applied. The greater the force or the longer the distance from the point of rotation, the greater the torque. The unit of torque is typically Newton-meters (N·m) in the International System of Units (SI) or pound-feet (lb·ft) in the imperial system. Torque is essential in various fields such as physics, mechanics, engineering and robotics.
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2 Jupiter orbits the sun in a nearly circular path with radius 7.8x10^11m. The orbital period of Jupiter is 12 years.
The mass of Jupiter is 2.0 x 10^27 kg. predict the mass of the Sun.
Mass of Jupiter=1.9×10
27
㎏=M
1
Mass of Sun=1.99×10
30
㎏=M
2
Mean distance of Jupiter from Sun=7.8×10
11
m=r
G=6.67×10
−11
N㎡㎏
−2
Gravitational Force, F=
r
2
GM
1
M
2
F=
(7.8×10
11
)
2
6.67×10
−11
×1.9×10
27
×1.99×10
30
F=4.16×10
23
N
Select the correct answer. a thermodynamic system undergoes a process in which its internal energy decreases by 500 joules. at the same time, 220 joules of work is done on the system. what is the amount of heat transferred to or from the system?
a. 280 joules
b. 720 joules
c. -280 joules
d. -720 joules
e. 0 joules
The amount of heat transferred to or from the system is −720 J. The first law of thermodynamics states that U = Q + W
Where U is the change in the system's internal energy and W is the work performed on it. From the given, we obtain: U = 500 J W = 220 J.
Thus, = Δ − = −500 − 220 = −720 J
Which procedure results in a decrease in internal energy?A process is referred to as adiabatic if there is no heat exchange. This process must be adiabatic because the system's internal energy drops and it is an ideal gas.
Does the adiabatic process cause a decrease in internal energy?As a result, in adiabatic operations, the temperature of the gas rises as its volume decreases. This is due to the temperature shift being fueled by the gas's increased effort.
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Answer: D.
-720 joules
Explanation: plato :)
a marble launchers fires a marble into the air so that it reaches a height of 3.25 m determine the initial velocity of the marble
The velocity of the launched marble is 7.98 m/s. Using the formula by equation kinetic energy and potential energy.
What is potential energy?
Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is compressed or stretched, its potential energy increases. If a steel ball is raised above the ground as opposed to falling to the ground, it has more potential energy. It is capable of performing more work when raised.
What is velocity?The directional speed of an item in motion, as measured by a specific unit of time and observed from a certain point of reference, is what is referred to as velocity.
Calculations:
Total kinetic energy will get converted into potential energy
[tex]\frac{1}{2} m V^{2}[/tex] = [tex]m g h[/tex]
M = mass
V = initial velocity
h = maximum height
[tex]V = 2 g h^{0.5}[/tex]
= [tex](2 * 9.8 * 3.25 )^{0.5}[/tex] = 7.98 m/s.
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steroid Ida was photographed by the Galileo spacecraft in 1993, and the photograph revealed that the asteroid has a moon, which has been named Dactyl. From the dimensions of Ida and its general features, one can estimate the mass of Ida to be 4.5 x 10^16 kg, and the distance between Dactyl and Ida is approximately 90 km. Assuming a circular orbit, what would be the orbital speed of Dactyl
The orbital speed of Dactyl is approximately 0.0173 meters per second.
To calculate the orbital speed of a Dactyl, we can use the formula:
v = √(G * M / r) where:
v is the orbital speed of DactylG is the gravitational constant (6.67 x 10^-11 N*(m^2)/(kg^2))M is the mass of Ida (4.5 x 10^16 kg)r is the distance between Dactyl and Ida (90 km)So, v = √( (6.67 x 10^-11 N*(m^2)/(kg^2)) * (4.5 x 10^16 kg) / (90 x 10^3 m) )
= √ ( 2.98 x 10^-5 m/s^2 )
= 0.0173 m/s
Therefore, the orbital speed of Dactyl is approximately 0.0173 meters per second.
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Highlight two factors which show that heat from the sun does reach the earth surface by conversation
Answer:
Radiation
Explanation:
The sun heat the earth by the process called radiation.
Radiation is form of heat transfer method just like convection and conduction. Radiation heat transfer does not require medium to propagate, unlike its other two counterparts. There is no medium between earth and sun.
The radiation heat travels through space in form of waves. Like the electromagnetic wave with a specific speed and energy.
what determines the number of rattlesnakes in a forest ecosystem?
A. The number is in exact proportion to the availability of prey
B. Their number depends on how many eggs hatch
C. By how many hawks and owls are eating them
D. How well they are able to defend themselves against Raptors
The number of rattlesnakes in a forest ecosystem would be dependent on both the number of available prey and predators.
Predator, prey, and population sizeThe population size of an organism in an ecosystem depends on a variety of factors. Prominent among these factors are food availability and the population of predators in the ecosystem.
Rattlesnakes are predator snakes who also serve as prey to predatory birds such as hawks and owls.
Thus, the population of rattlesnakes would depend largely on the availability of prey as well as the population of predatory birds in the ecosystem.
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What is the function of the countercurrent system of flow?
In the renal medulla, a countercurrent mechanism keeps things in balance. The solution flows concurrently in the same direction. The solution flows in the opposite direction of the countercurrent flow.
Cross-current flow here, the liquids move in the opposing directions through the two tubes. One end of a tube in a single tube starts to flow a solution with a concentration of 0%, while the other end in the same tube starts to flow a solution with a concentration of 100%.
The kidneys have two countercurrent processes. They are the vasa recta and the Henle loop. The nephron's Henle's loop is a U-shaped structure. The two limbs of the vessel's two blood streams move in the opposing directions, creating countercurrents.
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What kind of force do you exert on an object when you pull it towards you?
A. applied force
B. attractive force
C. drag force
D. normal force
By definition we have to:
Applied force: It is the external force that acts directly on a body.
Therefore, we can say that if you have an object and push it towards yourself, you are exerting an external force on the object.
This external force was not acting on the object previously, therefore, it is a force that you are applying at that moment.
Answer:
you exert an Applied Force on an object when you pull it towards you
A. Applied Force
You need a capacitance of 50 µF , but you don't happen to have a 50 µF capacitor. You do have a 90 µF capacitor. What additional capacitor do you need to produce a total capacitance of 50 µF?
According to the question, you would need to add a 40 µF capacitor in order to produce a total capacitance of 50 µF.
What is the capacitor?
An electrical component known as a capacitor stores energy in an electric field. It is made up of two metal plates separated by an insulator, such as air, paper, plastic, or ceramic. When a voltage is applied to the plates, a charge is stored in the electric field. This charge can then be released when the voltage is removed. Capacitors are used in a variety of applications, such as providing energy storage in power supplies, filtering signals in electronic circuits, and providing energy to motors in electrical devices. They can also be used to balance out electrical loads in a circuit, and provide a steady current for the circuit. Capacitors can vary in size, shape, and material depending on the application.
In this case, 90 µF + 40 µF = 130 µF, and 130 µF - 90 µF = 40 µF. Therefore, you would need to add a 40 µF capacitor to the 90 µF capacitor to achieve a total capacitance of 50 µF.
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where does sound travel faster(the desert or the forest)?
Answer:
forest
Explanation:
cause of the echo
Answer:
forest
Explanation:
very spacious enough to make echo
What are the two naturally occurring liquid elements?
Answer:
Explanation:
The two liquid elements are bromine and mercury. Many elements naturally occur as gases: hydrogen, nitrogen, oxygen, fluorine, chlorine, and all the noble gases (Group VIIIA elements). The remaining elements exist as solids.
Answer:
bromine and mercury
Explanation:
During their discussion, Jolon makes several statements about energy. Which statement is correct? O "Energy in a system changes depending on what kind of energy is in the system." O "Energy in a system always switches between kinetic " and potential forms O "Energy in a system can be increased if work is inserted into the system from outside." O "Energy in a system is always constant."
Answer: yes
Explanation:
not to sure
Why is countercurrent considered more effective?
The gills of fish have a structure known as "countercurrent oxygen exchange" that increases the quantity of oxygen that can be taken up by the blood.
They accomplish this by increasing the amount of time that their blood is in contact with water that has more oxygen while the blood absorbs more oxygen.
The ability to extract a greater amount of the heating fluid's heat is one of the major benefits of counter-current flow. It is significant to notice that at the same terminal temperature, the LMTD value for counter-current flow is significantly higher than for concurrent flow. The streams enter the heat exchanger at the opposing ends in the countercurrent mode.
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a boy sits at the top of a 3.5 m long playground slide tilted at 37 degrees with a uk=.27 what is the boys acceleration?
Answer:
3.7845976673 m/s²
Explanation:
The boys' acceleration will be 3.785 m/s². It is the rate of change of the velocity on the inclined plane.
What is the friction force?It is a type of opposition force acting on the surface of the body that tries to oppose the motion of the body. Its unit is Newton(N).
Mathematically, it is defined as the product of the coefficient of friction and normal reaction.
On resolving the given force and acceleration in the different components and balancing the equation gets. Components in the x-direction.
From Δ ABC
[tex]\rm sin 37^0 = \frac{F}{mg} \\\\ F= mg sin37^0[/tex]
[tex]\rm cos 37^0 = \frac{F_N}{mg } \\\\\ F_N= mg cos 37^0[/tex]
Components and balancing the equation gets. Components in the x-direction.
[tex]\rm F-F_N = mg sin 37^0 - \mu (mg cos 37^0) = ma \\\\ mg (sin37^0 -\mu cos 37^0 )= ma \\\\ 9.81 (0.386 ) = a \\\\ a= 3.785 \ m/sec^2[/tex]
Hence, the boys' acceleration will be 3.785 m/s².
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A rubber ball and a clay ball of equal mass are dropped from the same height and hit the ground. The clay ball sticks to the ground while the rubber ball rebounds. Which experiences the greater impulse from the ground
The rubber ball experiences the greater impulse from the ground, because the clay ball sticks to the ground and does not rebound. Impulse is equal to the change in momentum, and since the rubber ball rebounds and the clay ball does not, the rubber ball experiences a greater change in momentum and, therefore, a greater impulse from the ground.
The momentum of the rubber ball is also greater than that of the clay ball, because the rubber ball rebounds and the clay ball does not. Momentum is equal to the product of mass and velocity, and the rubber ball's velocity is greater than that of the clay ball due to its rebound. Therefore, the rubber ball has greater momentum than the clay ball.
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A spinning disk has an initial angular speed of 12.5 rad/s. It is pushed by a kid with a constant angular acceleration of 3.41 rad/s2. a) What will be the angular speed in 5.26 s. What will be the angle turned in 5.26 s
The angle turned in 5.26 s is 6470 degrees. An initial angular speed of 12.5 rad/s and a constant angular acceleration of 3.41 rad/s2 are the characteristics of a pulley.
Does acceleration affect angular velocity?The angular acceleration provides the rate of change of angular velocity, just like in the case of linear velocity and acceleration: The rate at which the angular velocity varies is determined by the angular acceleration's magnitude, and the change's direction is determined by the direction.
What is the formula for angular acceleration?The rate at which angular velocity changes is referred to as angular acceleration. In an equation, angular acceleration is written as follows: = t, where t is the change in time and is the change in angular velocity.
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Matt i a 85kg lifeguard, he lide down a water lide that i inclined at 35 degree to the horizontal into a wimming pool. If the coefficient of kinetic friction of the lide i 0. 9. What i Matt’ rate of acceleration a he goe down the lide
The rate of acceleration at which Matt goes down the slide is equal to 5.32 m/s².
The normal force or [tex]F_{N}[/tex] acts perpendicular to the object.
The angle of inclination = 35°
cosθ = [tex]F_{N}[/tex]/mg
[tex]F_{N}[/tex] = mgcosθ = 85 × 10 × cos 35
= 850 × 0.819 = 696.15 N
To find the force of friction,
μ = 0.050
[tex]F_{f}[/tex] = μ × [tex]F_{N}[/tex]
= 0.050 × 696.15 = 34.80 N
To find the downward component of weight that pulls him down the slide.
sinθ = [tex]F_{d}[/tex]/mg
[tex]F_{d}[/tex] = mgsinθ
= 85 × 10 × sin35
= 850 × 0.5736 = 487.56 N
To find the acceleration,
[tex]F_{net} = F_{d} - F_{f}[/tex]
= 487.56 - 34.80 = 452.76 N
To solve for acceleration,
F = force = 452.76 N
m = mass = 85 kg
Force = mass × acceleration
a = F/m = 452.76/85 = 5.32 m/s²
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Please help
How does sound move from the source to the receiver? (a slinky moving back and forth)
Answer:
through a chain reaction of particle collisions in a medium.
Explanation:
The motion of particles in different states is difficult to observe. A student used computer software to represent the movement of particles in the solid state. Which type of scientific model did the student use
A simulation because it replicates a molecule's internal operation.
What causes the motion of atoms?Heat is the primary source of particle motion on Earth. The temperature of any substance is correlated with the energy of the atoms and molecules that comprise it. Energy is conserved, thus if one particle loses energy, another one acquires it.
What is the name for atomic movement?Translational motion is the term used to describe how an atom may travel from one place in space to another. Additionally, molecules composed of several atoms can vibrate because of chemical bonds, which cause the atoms to move about their equilibrium position like springs.
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Seismic-wave velocity can change (increase or decrease) as the waves pass through different rock types.
Yes, seismic-wave velocity can change as the waves pass through different rock types.
Rocks with high porosity and permeability tend to have lower seismic-wave velocities because the pores contain fluid that can dampen the energy of the seismic waves, while rocks with high compaction and densities tend to have higher seismic-wave velocities. Additionally, changes in temperature and pressure can also affect seismic-wave velocity.
What are seismic sounders?Seismic sounders are seismic instruments that use a wide range of sound frequencies to measure the Earth's subsurface structure, composition, and its response to seismic waves generated from a source.
They are used in the exploration of oil, gas and mineral resources and for investigating earthquake and volcanic processes.
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How can you use the voltage across a resistor and the current through the resistor or find its resistance? What are the units for the resistance
Answer:
R = V / i, units is Ω
Explanation:
The Ohm law establishes the relationship between voltage and current
V = i R
R = V / i
hence the relationship between voltage and current of the magnitude of the resistance.
The units are
R = [V / A] = [Ω]
if energy of 10 watts is transferred into a chamber of helium, how long does it take to vaporize 1 kg of liquid helium
energy takes 25 atmospheres of pressure to evaporate 1 kilogrammes liquid helium, and that pressure must be applied at or below the freezing point of helium, which is 458 °F.
How is helium in liquid form transported?From manufacturing sources to stockpiling and transfill facilities, liquid helium is normally delivered. Tankers with a capacity of 5,000 and 11,000 gallons have an annular space that is vacuum-sealed, nitrogen-shielded, and has multiple layers of insulation.
How is liquid helium produced?You need to chill helium gas to just a few temperatures above absolute zero in order to produce the liquid & superfluid states. By compressing the air and then releasing it through a tiny nozzle, this is accomplished. If you've used any aerosol, you may have noticed that the gas rapidly cools as it expands.
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What part of the scientific method tells us the real answer to the problem?
Conclusion part of the scientific method tells us the real answer to the problem.
Analysis and Conclusion ,In this step, the experiment's outcomes are determined using appropriate mathematical and other scientific techniques. The study can be used to determine the best course of action moving forward. The hypothesis is accepted if the evidence from the analysis support it.
The scientific method is a procedure used by scientists to explore, confirm, or create a precise and trustworthy model of any natural phenomenon. They are carried out by developing an objective framework for scientific inquiry, analyzing the findings objectively, and drawing a conclusion that either confirms or disproves the initial observation.
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Energy due to motion and energy due to position (such as height) are both categorized as kinds of _______.
Answer:
Mechanical energy.
Explanation:
Mechanical energy is the energy that is possessed by an object due to its motion or due to its position. Mechanical energy can be either kinetic energy or potential energy.
The electric field near the surface of Earth points downward and has a magnitude of 140 N/C. A. Compare the upward electric force on an electron with the downward gravitational force. (upward force / downward force)b. What magnitude charge should be placed on a penny of mass 6 g so that the electric force balances the weight of the penny near Earth's surface?
The me = 9.1 x 10-31 kg the the upward electric force on an electron with the downward gravitational force. C = 0.42 mC is the magnitude charge should be placed on a penny of mass 6 g so that the electric force balances the weight of the penny near Earth's surface.
What is magnitude ?
According to the physics definition, magnitude is just "distance or quantity." It demonstrates how an object moves as it is moving, including whether the movement is absolute, relative, or of a particular size. It serves as a means of describing the size or scope of something. Physicists use the word "magnitude" to indicate size or distance.
What is gravitational force ?
The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of their distance, according to Newton's universal law of gravitation.
E = 140 N/C
qe = -1.6 x 10-19 C
me = 9.1 x 10-31 kg
A) Fe = qe.E = 1.6 x 10-19. 140 = 2.24 x 10-17 N ( upward )
Fw = me.g = 9.1 x 10-31.9.8 = 8.918 x 10-30 N (down ward )
Fe/Fw = 2.51 x 1012
B) mg = q.E
q = mg/E = (6 x 10-3.9.8) /140
q = 4.2 x 10-4 C = 0.42 mC
Therefore, me = 9.1 x 10-31 kg the the upward electric force on an electron with the downward gravitational force. C = 0.42 mC is the magnitude charge should be placed on a penny of mass 6 g so that the electric force balances the weight of the penny near Earth's surface.
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