The resistor that dissipates the most power varies depending on the configuration of the circuit. In a series circuit, the resistor with the greatest resistance dissipates the most power due to the greater voltage drop across it. In a parallel circuit with a constant voltage source, the resistor with the smallest resistance dissipates the most power because it allows for the greatest current.
Explanation:In a circuit, power dissipation is based on the formula, P = IV, also known as Joule's law. Substituting Ohm's law (V = IR) into this formula gives us a better understanding of how resistance affects power. This results in the formula P = I²R, meaning that power is directly proportional to the resistance when current is constant.
Therefore, a higher resistor value would, in theory, dissipate more power. However, in a series circuit where every resistor has the same current flowing through them, the resistor providing the greatest resistance will have the highest voltage (V) drop, hence dissipating more power.
Conversely, if the resistors are connected in parallel, the smallest resistor dissipates more power because it allows for the greatest current, provided the voltage source remains constant.
The discussion on power dissipation in resistors links to the P = V²/R equation, suggesting that lower resistance yields higher power when voltage is consistent. Therefore, your circuit configuration and the constants in the equation play crucial roles in determining which resistor dissipates the most power.
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The power dissipated by a resistor depends on whether the voltage or current is constant. With constant voltage, a lower resistance dissipates more power. With constant current, a higher resistance dissipates more power.
To determine which resistor dissipates the most power, we need to consider the power dissipation formulas. Power in a resistor can be calculated using two key formulas:
P = V² / R and P = I² R.
P = V² / R: When the voltage (V) across the resistor is constant, power decreases as resistance (R) increases. Therefore, with the same voltage applied, a resistor with a lower resistance will dissipate more power.
P = I² R: When the current (I) through the resistor is constant, power increases as resistance increases. Therefore, with the same current, a resistor with a higher resistance will dissipate more power.
These two formulas may seem contradictory at first, but they apply in different scenarios. In a circuit where voltage is constant, a lower resistance leads to higher power dissipation. In contrast, in a circuit where current is constant, a higher resistance leads to higher power dissipation.
Therefore, whether a resistor with the greatest or least resistance dissipates the most power depends on whether the voltage across the resistor or the current through the resistor is constant.
Solid-state storage is quickly replacing forms of _____ on small devices like the ipod.
An air-gap parallel plate capacitor of capacitance c0 = 20 nf is connected to a battery with voltage v = 12 v. while the capacitor remains connected to the battery, we insert a dielectric (κ = 2.6) into the gap of the capacitor, filling one half of the volume as shown below. what is u, the energy stored in the this capacitor?
Answer:
3.7 * 10[tex]^{-5} J[/tex]
Explanation:
Thinking process:
Let the energy be calculated by the following:
[tex]U = \frac{1}{2}CV^{2}[/tex]
where V is the voltage applied across the load.
C is the capacitance
In case of a dielectric, the capacitance is given by the following equation:
[tex]C = kC_{0}[/tex]
where [tex]C_{0}[/tex] is the capacitance in vacuum. So, the energy stored becomes:
[tex]U = \frac{1}{2} (kC_{o})V^{2}[/tex]
Then, k = 2.6 , [tex]C_{0} = 20 nF[/tex], and V = 12 V
Therefore, in the problem, the energy stored becomes:
[tex]U = \frac{1}{2} (2.6 * 20*10^{-9}) (12)^{2} \\ = 3.7 * 10^{-5} J[/tex]
A spring-loaded piston-cylinder device is filled with 0.35 kg of water vapor that is initially at 4 mpa and 4000c. initially, the spring exerts no force against the piston. the spring constant in the spring-force relationship is k = 0.75 and the piston diameter is d = 20 cm. the water now undergoes a process until its volume is one-half of the original volume. calculate the final temperature and the specific enthalpy of the water.
To accurately calculate the final temperature and the specific enthalpy of the water vapor in the given spring-loaded piston-cylinder device after the water volume is reduced to half, we'd require the use of steam tables or equations of state and a clear understanding of the thermodynamic process involved.
Explanation:The spring-loaded piston-cylinder device question given is based on the principles of thermodynamics and requires calculating the final temperature and the specific enthalpy of water after it undergoes a process where its volume is halved. To solve this problem, one can use the steam tables alongside the principles of thermodynamic processes involving an ideal gas or a real substance such as water, depending on the provided properties and the specified conditions.
To calculate the final temperature and specific enthalpy, we would need more details such as the properties of the water vapor at its initial state (using steam tables or equations of state, for example) and the characteristics of the thermodynamic process (constant pressure, isothermal, adiabatic, etc.). Moreover, if the properties are not sufficient to solve analytically, we might utilize software or further data from thermodynamic tables to aid in solving this question.
Without additional information about the specific heat capacities or the relationship between pressure and temperature for the water vapor, it is challenging to provide an accurate answer to the student's question.
Which of these best explains the ability of small insects to walk on the surface of still water?
The ability of small insects to walk on water is due to surface tension, which results from cohesive forces among water molecules. This tension creates a thin 'skin' at the water's surface that can support the weight of light objects, such as insects.
The ability of small insects to walk on the surface of still water can be best explained by the phenomenon of surface tension. Surface tension is created due to the cohesive forces between water molecules at the liquid-air interface. This cohesion results in a thin 'skin' forming at the surface, which can support the weight of small insects like water striders. These insects distribute their weight over their long legs, ensuring that the force they exert is less than the surface tension holding the water molecules together, allowing them to effectively 'walk' on water.
An example of this can be seen when a paper clip or a thin razor blade is carefully placed on the surface of water without sinking, demonstrating the strength of surface tension.
A circular disk has surface charge density 24 nc/cm2 what will the surface charge density be if the radius of the disk is doubled?
On a beautiful night in Washington D.C., you see a mirror image of the Washington Monument and surrounding scenery. What causes this mirror image?
A. Absorbed light
B. Reflected light
C. White light
D. Refracted light
The gravitational force between Earth and the Sun is a two-way force. Both the planet and the Sun attract each other. However, Earth revolves around the Sun rather than the Sun revolving around Earth. Which statement BEST explains the orbit of the Earth around the Sun? A) The Sun is at the center of the Solar System. B) The Sun’s mass is much greater than Earth’s. C) Earth rotates about its axis, but the Sun does not. D) Other planets also try to move the Sun around them.
The correct choice would be
B) The Sun’s mass is much greater than Earth’s
The sun as we know has greatest mass in our solar system and lighter objects tends to orbit around the heavier objects. the mass of earth is very much smaller as compared to that of the sun. hence the earth orbits around the sun due to the force of gravitational attraction between the two objects.
Answer:
B. The sun's mass is much greater than Earth's.
Explanation:
I got it right on UsaTestPrep
Hope this helps!
From: Aug1e
In the equation for centripetal force, which expression represents the centripetal acceleration of the object?
Answer:
v^2/r
Explanation:
Took the review
If the kinetic energy of an electron is 4.1e-18 j, what is the speed of the electron? (you can use the approximate (nonrelativistic) formula here.)
Final answer:
To find the speed of an electron with a given kinetic energy of 4.1e-18 J, use the non-relativistic kinetic energy formula. The calculation reveals the speed is approximately 2.7 x 10⁶ m/s, validating the use of the classical formula.
Explanation:
If the kinetic energy of an electron is 4.1e-18 J, calculating the speed of the electron involves using the non-relativistic kinetic energy formula, KE = ½mv², where KE is the kinetic energy, m is the mass of the electron (9.11 x [tex]10^-^3^1[/tex] kg), and v is the speed of the electron.
First, rearrange the formula to solve for v, resulting in v = √(2KE/m). Substituting the given kinetic energy and the mass of an electron, we get v = √([tex]2*4.1e^-^1^8[/tex] J / (9.11 x [tex]10^-^3^1[/tex] kg)). Calculating this provides a numerical value for the electron's speed.
After calculating, you'll find that the electron's speed is approximately 2.7 x 10⁶ m/s, which is fast but still less than the speed of light, indicating that using the non-relativistic formula is justified in this scenario.
After watching an advertisement for hand sanitizer on television, Ben decided to see just how effective the advertised hand sanitizer really was. Ben used warm water as his control. He compared the advertised sanitizer with two brands of hand soap. In all four trials he rubbed his hands together for two minutes. After using the three products and the control, he cultured the bacteria on his hands. He recorded the number of bacterial cultures that appeared on each culture plate. Ben's results can be seen in the data table. Ben concluded that both brands of soap were more effective in killing bacteria than the advertised hand sanitizer. What term BEST describes Ben's results for all four trials? A) biased B) inconclusive C) qualitative D) quantitative ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Here Ben checked the quality of three sanitizer
He took all three and checked how much effective each soap is to kill the bacteria
He analyzed and find out that both brands of soap were more effective in killing bacteria than the advertised hand sanitizer
He took his decision on the basis of quality so this is qualitative analysis
option C is correct
Answer:
It is C
Explanation:
The cone cells of the human eye are sensitive to three wavelength ranges, which the eye interprets as blue (419nm), green (531 nm), and red(558nm). if the optic nerve in the eye requires 2.0x10^-17j of energy to initiate the sight impulses to the brain, how many photons of blue light, green light, and red
The number of photons of blue light required is 42 photons of blue light
The number of photons of green light required is 53 photons of green light
The number of photons of red light required is 56 photons of red light
The energy of one photon of light is calculated using the formula:
E = h * c / λ
where h, Planck's constant = 6.63 * 10⁻³⁴ Js
speed of light c = 3 * 10⁸ m/s
λ = wavelength of light
wavelength of blue light = 419 nm = 4.19 * 10⁻⁷ m
wavelength of green light = 531 nm = 5.31 * 10⁻⁷ m
wavelength of red light = 558 nm = 5.58 * 10⁻⁷ m
Number of photons of light = Energy of light / Energy of one photon of light
Energy of light required by optic nerve = 2.0 * 10⁻¹⁷ J
Energy of one photon of blue light,
E = (6.63 * 10⁻³⁴ Js * 3 * 10⁸ m/s) / 4.19 * 10⁻⁷ m = 4.74 * 10⁻¹⁹ J
Number of photons of blue light = 2.0 * 10⁻¹⁷ J / 4.74 * 10⁻¹⁹ J
Number of photons of blue light = 42 photons of blue light
Energy of one photon of green light,
E = (6.63 * 10⁻³⁴ Js * 3 * 10⁸ m/s) / 5.31 * 10⁻⁷ m = 3.74 * 10⁻¹⁹ J
Number of photons of green light = 2.0 * 10⁻¹⁷ J / 3.74 * 10⁻¹⁹ J
Number of photons of green light = 53 photons of green light
Energy of one photon of red light,
E = (6.63 * 10⁻³⁴ Js * 3 * 10⁸ m/s) / 5.58 * 10⁻⁷ m = 3.56 * 10⁻¹⁹ J
Number of photons of red light = 2.0 * 10⁻¹⁷ J / 3.56 * 10⁻¹⁹ J
Number of photons of red light = 56 photons of red light
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On its own, a certain tow-truck has a maximum acceleration of 3.0 m/s2. what would be the maximum acceleration when this truck was towing a bus of twice its own mass?
The maximum acceleration would be 1.0 m/s² when this truck was towing a bus of twice its own mass
[tex]\texttt{ }[/tex]
Further explanationNewton's second law of motion states that the resultant force applied to an object is directly proportional to the mass and acceleration of the object.
[tex]\boxed {F = ma }[/tex]
F = Force ( Newton )
m = Object's Mass ( kg )
a = Acceleration ( m )
Let us now tackle the problem !
[tex]\texttt{ }[/tex]
Given:
initial acceleration = a₁ = 3.0 m/s²
mass of tow-truck = m₁ = m
mass of bus = m₂ = 2m
Asked:
final acceleration = a₂ = ?
Solution:
[tex]\texttt{Initial Force of Tow-Truck = Final Force of Tow-Truck }[/tex]
[tex]F_1 = F_2[/tex]
[tex]m_1 a_1 = m_2 a_2[/tex]
[tex]m (3.0) = (m + 2m) a_2[/tex]
[tex]3m = 3m (a_2)[/tex]
[tex]a_2 = 3m \div 3m[/tex]
[tex]\boxed{a_2 = 1.0 ~ \mathtt{ m/s^2}}[/tex]
[tex]\texttt{ }[/tex]
Conclusion :The maximum acceleration would be 1.0 m/s²
[tex]\texttt{ }[/tex]
Learn moreImpacts of Gravity : https://brainly.com/question/5330244Effect of Earth’s Gravity on Objects : https://brainly.com/question/8844454The Acceleration Due To Gravity : https://brainly.com/question/4189441Newton's Law of Motion: https://brainly.com/question/10431582Example of Newton's Law: https://brainly.com/question/498822[tex]\texttt{ }[/tex]
Answer detailsGrade: High School
Subject: Physics
Chapter: Dynamics
Find the momentum p, in the laboratory frame of reference, of a proton moving with a speed of 0.805
c. use 938mev/c2 for the mass of a proton.
Explanation of how to calculate the momentum of a proton moving at 0.805c using the relativistic momentum formula.
The momentum (p) of a proton moving at 0.805c can be calculated using the relativistic momentum formula:
[tex]p = (m * v) / \sqrt{(1 - v^2 / c^2)[/tex]
Substitute the mass of a proton (938 MeV/c^2), the velocity (0.805c), and the speed of light (3 x 10^8 m/s) into the formula to find the momentum value.
One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 2.51 km. they start at the west side of the lake and head due south to begin with. (a) what is the distance they travel? (b) what is the magnitude of the couple's displacement? (c) what is the direction (relative to due east) of the couple's displacement?
Manuel is holding a 5kg box. How much force is the box exerting on him?In what direction
The box that Manuel is holding would exert a force of 49 N, directed downwards due to gravity. This calculation is done using the mass of the box and the acceleration due to gravity. According to Newton's third law, the force exerted by the box on Manuel would be in the opposite direction to which he lifts it.
Explanation:The box that Manuel is holding exerts a force equal to its weight due to gravity. The weight can be calculated using the formula F = mg, where F is the force, m is the mass of the object, and g is the acceleration due to gravity. In this case, the mass of the box is 5 kg and assuming the acceleration due to gravity to be approximately 9.8 m/s², we can calculate the force as F = (5 kg) * (9.8 m/s²) = 49 N.
As for the direction, the direction of the force is always directed downwards or towards the center of the Earth because gravity is the force involved in this situation. To be more specific, the force that the box exerts on Manuel is in the opposite direction to which he lifts it, according to Newton's third law of motion which states that for every action, there is an equal and opposite reaction. Therefore, the box exerts a downward force of 49 Newtons on Manuel.
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Andy has two strong magnetic marbles of equal size. What will happen when he puts the two marbles about 2 centimeters apart?
5.3 × 1012 kg satellite is 1,800 m from another satellite that has a mass of 3.5 × 108 kg. What is the gravitational force between the satellites? 3.82 × 104 N 6.87 × 107 N 5.72 × 1014 N 1.03 × 1018 N
The answer is: 3.82 × 10^4 N. Hope this helps!
It takes Harry 34 s to walk from x1 = -11 m to x2 = -54 m .
The pilot of an airplane traveling 180km/h wants to drop supplies to flood victims isolated on a patch of land 160 m below. The supplies should be dropped how many seconds before the plane is directly overhead?
To calculate the time the supplies should be dropped before the plane is directly overhead, use the equation for free-fall motion and plug in the values given. The supplies should be dropped approximately 5.06 seconds before the plane is directly overhead.
Explanation:To determine how many seconds before the plane is directly overhead the supplies should be dropped, we need to calculate the time it takes for the supplies to fall 160 m. We can use the equation for free-fall motion:
Time = sqrt((2 * distance) / g)
where distance is the height the supplies need to fall and g is the acceleration due to gravity. Plugging in the values, we get:
Time = sqrt((2 * 160 m) / 9.8 m/s²) ≈ 5.06 seconds
Therefore, the supplies should be dropped approximately 5.06 seconds before the plane is directly overhead.
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A wave travels through water at a speed of 3 m/s and has a frequency of 10 Hz. What is the wavelength of the wave?
V=wavelength*frequency
3 m/s=wavelength*10 Hz
3m/s=10 Hz
wavelength= .3
Answer:
Wavelength of the wave, λ = 0.3 m
Explanation:
It is given that,
The speed of the wave, v = 3 m/s
The frequency of the wave, f = 10 Hz
We know the relationship between the frequency, wavelength and the speed of the wave. Mathematically, it can be written as :
[tex]speed=frequency\times lambda[/tex]
or
[tex]v=f\times \lambda[/tex]
[tex]\lambda=\dfrac{v}{f}[/tex]
[tex]\lambda=\dfrac{3\ m/s}{10\ Hz}[/tex]
[tex]\lambda=0.3\ m[/tex]
Hence, the wavelength of the wave is 0.3 m
List at least 3 physical properties that the professor describes of his newly discovered flubber
Answer:
Flubber is a combination of two words Fluid+ Rubber. It means flubber has physical properties of both fluid and rubber(solid).
Physical properties of Flubber are as follows
1. It has elasticity like rubber
2. It can take the shape of the container in which it is filled. It does not have any particular shape like fluid.
3.It has viscoplastic nature
4. It is gelatinous
5. It flows under low pressure and can break when high pressure is applied on it.
day and night are cause by earth's revolution on its axis true or false
FALSE, the earth's rotation on its axis does not cause night and day. The rotation of the earth is responsible for the occurrence of night and day.
What is the earth's rotation?Revolution and rotation are the terms that describe the different movements of the earth. The movement of the earth on its axis is known as rotation.
Revolution is the movement of the earth around the sun in a fixed route or orbit. The earth's axis, which is an imaginary line, forms a 6612° angle with its orbital plane.
The earth's rotation on its axis does not cause night and day. The rotation of the earth is responsible for the occurrence of night and day.
Hence, the given statement is false.
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how did the world form
Latent heat of fusion refers to which changes of state?
Answer:
Explanation:
The amount of energy required to change the state of matter at constant temperature is called latent heat.
There are two types of latent heat.
1. Latent heat of fusion: The amount of heat required to convert 1 kg of ice at 0 degree Celsius into 1 kg water at 0 degree Celsius is called latent heat of fusion.
2. Latent heat of vaporization: The amount of heat required to convert 1 kg of water at 100 degree Celsius into 1 kg steam at 100 degree Celsius is called latent heat of vaporization.
Why is it important to know the direction of the force applied to a moving object and the direction in which the object is moving when determining the work done on the object?
A. Only the component of the force perpendicular to the motion is used to calculate the work.
B. If the force acts in the same direction as the motion, then no work is done.
C. When there is an angle between the two directions, the cosine of the angle must be considered.
D. A force at a right angle to the motion requires the use of the sine of the angle.
Answer:
C. When there is an angle between the two directions, the cosine of the angle must be considered.
Explanation:
I can confirm answer is C.
Whenever two apollo astronauts were on the surface of the moon, a third astronaut orbited the moon. assume the orbit to be circular and 430 km above the surface of the moon, where the acceleration due to gravity is 1.08 m/s2. the radius of the moon is 1.70 â 106 m?
Two hockey pucks with mass 0.1 kg slide across the ice and collide. Before the collision, puck 1 is going 15 m/s to the east and puck 2 is going 12 m/s to the west. After the collision, puck 2 is going 15 m/s to the east. What is the velocity of puck 1?
Final answer:
Using the conservation of momentum, the final velocity of puck 1 after the collision is determined to be 1.2 m/s to the west.
Explanation:
The student's question is about determining the velocity of puck 1 after a collision in an ice hockey game. Since momentum is conserved in collisions, we can use the law of conservation of momentum to find the answer. Puck 1 has a mass of 0.1 kg and is initially traveling at 15 m/s to the east, whereas puck 2, also 0.1 kg, is initially going 12 m/s to the west. After the collision, puck 2 is moving at 15 m/s to the east. We can set up the equation for conservation of momentum as follows:
Initial Momentum = Final Momentum
(m1 * v1_initial) + (m2 * v2_initial) = (m1 * v1_final) + (m2 * v2_final)
Plugging in the given values and solving for v1_final (velocity of puck 1 after the collision):
(0.1 kg * 15 m/s) + (0.1 kg * -12 m/s) = (0.1 kg * v1_final) + (0.1 kg * 15 m/s)
Simplifying the equation:
1.5 kg*m/s -1.2 kg*m/s = 0.1 kg * v1_final + 1.5 kg*m/s
Rearranging to solve for v1_final gives:
v1_final = (1.5 kg*m/s - 1.2 kg*m/s - 1.5 kg*m/s) / 0.1 kg
Calculating v1_final:
v1_final = -1.2 m/s
Therefore, after the collision, puck 1 is moving at a velocity of 1.2 m/s to the west.
If you were creating an electrical circuit and ran out of wire what materials would you use
A:yarn
B:licorice strings
C:plastic knitting needle
D:tin foil
A 75-kg snowboarder has an initial velocity of 5.0 m/s at the top of a 28 ∘ incline. after sliding down the 110-m long incline (on which the coefficient of kinetic friction is μk = 0.18), the snowboarder has attained a velocity v. the snowboarder then slides along a flat surface (on which μk = 0.15) and comes to rest after a distance x. part a use newton's second law to find the snowboarder's acceleration while on the incline and while on the flat surface.
Acceleration on the inclined plane and flat surface is different. The acceleration of snowboarding on the inclined plane is 3.05 m/sec² while on the flat surface is 1.4715 m/sec².
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.
(a)
On resolving the given force and accelertaion in the different components and balancing the equation gets.
Components in the x-direction
mgsina-F= ma
mgcosa=R
F=μR
F = μmgcosa
mg(sina-μcosa)=ma
a=g(sina-μcosa)
a=9.31(sin28°-0.18cos28°)
a= 3.05 m/sec²
Hence acceleration of snowboarding on the inclined plane is 3.05 m/sec²
(b)
According to Newton's third equation of motion;
v²=u²+2as
v²= (5)²+2×3.05×110
v=26.4 m/sec.
Fₓ×f= mgμ=ma
a=g×μ
a=9.81×0.15
a= 1.47 m/sec²
Hence acceleration on the flat surface is 1.4715 m/sec².
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While parachuting, a 66.0-kg person experiences a downward acceleration of 2.60 m/s2. 1) what is the downward force on the parachute from the person? (express your answer to three significant figures?
Final answer:
The downward force on the parachute from the 66.0 kg person experiencing a downward acceleration of 2.60 m/s2 is 171.6 newtons, calculated using Newton's second law of motion (F = ma).
Explanation:
The question asks for the downward force on the parachute from a person with a mass of 66.0 kg experiencing a downward acceleration of 2.60 m/s2. To find this force, we use Newton's second law of motion, which states that force (F) equals mass (m) times acceleration (a), or F = ma.
To calculate the force, we multiply the person's mass (66.0 kg) by the given acceleration (2.60 m/s2):
F = 66.0 kg × 2.60 m/s2
= 171.6 N
The downward force exerted on the parachute by the person is therefore 171.6 newtons, expressed to three significant figures.