As the electron moves in a uniform electric field, the following changes occur:
a) The electric potential at the electron's location decreases
b) The electron's associated electric potential energy decreases
c) Its kinetic energy increases
d) Its total energy remains unchanged.
This is because the potential energy is converted into kinetic energy as the electron moves from a higher potential location to a lower one. The total energy remains constant, as energy cannot be created or destroyed, only converted from one form to another.
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Which of the following statements is not correct per Article 100 definition?
a. Branch-circuit overcurrent protective devices are capable of being able to provide a full range of overcurrent protection from rated current to its interrupting rating.
b. Branch-circuit overcurrent protective devices are intended for protection of a service, feeder or branch circuit of an electrical system.
c. Branch-circuit overcurrent protective devices must be listed in combination with the specific device it is intended to protect.
d. Branch-circuit overcurrent protective devices must have interrupting rating sufficient for the application, but not less than 5 kA.
C. Branch-circuit overcurrent protective devices must be listed in combination with the specific device it is intended to protect.
About Branch-circuitThe circuit consists of wires that connect the power source to fuses, switches and loads. Loads are devices that consume energy flowing through a circuit, like a light bulb in a lamp.
Branch circuits are a particular type of circuit that runs from the circuit breaker panel to the devices in the building. Branch circuits are classified as general purpose, equipment, or individual circuits depending on their function.
Every building that is connected to electricity has a circuit breaker panel. These panels are usually metal boxes or cabinets filled with switches and mounted on the wall. Every switch is connected to an electrical circuit in the house and can cut off the power to that circuit if it is turned off.
Branch circuits run from every switch to the receptacles, lights and equipment in the building.
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What is the current flowing through this circuit?
A) 1.3 A
B) 6.7 A
C) 15 A
D) 0.15 A
Answer:
see below
Explanation:
the given circuit comprises of a 10V battery and 2Ω and 6Ω resistance. The resistances are connected in parallel, so we can find the net resistance as ,
[tex]\implies \dfrac{1}{R_n}=\dfrac{1}{R_1}+\dfrac{1}{R_2} \\[/tex]
[tex]\implies R_n =\dfrac{R_1R_2}{R_1+R_2} \\[/tex]
[tex]\implies R_n =\dfrac{2\times 6 }{2+6}\Omega \\[/tex]
[tex]\implies R_n =\dfrac{12}{8}\Omega\\[/tex]
[tex]\implies R_n = 1.5\Omega \\[/tex]
Now from Ohm's law, we have,
[tex]\implies V = iR \\[/tex]
where ,
V is potential differencei is currentR is resistance[tex]\implies 10V = i \times 1.25\Omega \\[/tex]
[tex]\implies i =\dfrac{10}{1.25} A \\[/tex]
[tex]\implies \underline{\underline{ i = 8A }}\\[/tex]
and we are done!
what concept in the video of the Big Bang Theory show which demonstrated operant conditioning that is incorrect?
Answer:
getting chocolate is a positive reinforcement
Explanation:
I need help answering these questions on this worksheet
The density measures the compactness of a substance. Here the density of an object of mass 60 g and volume 150 cm³ is 0.4 g/cm³.
What is density?The mass of an object contained per unit volume is defined as the density. The SI unit of density is kg / m³. The equation used to calculate density is:
Density = Mass / Volume
= 60 / 150 = 0.4 g/cm³
The objects which have same volume, but different masses have different densities. If greater the mass, more dense will be the object.
Thus the density of the object is 0.4 g/cm³.
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What is the answer to question which statement correctly describes a characteristic that a scientific measuring tool should have ?
To be accurate, a scientific measuring instrument needs to be able to provide repeatable observations of a quantity.
How can you be scientific?of, pertaining to, or showing the scientific concepts or procedures. conducted scientifically or in accordance with findings of scientific investigation: by practicing or employing comprehensive or orderly procedures. advertising using science.
Who is referred to as scientific?A scientist is a person who methodically acquires data and uses it to form hypotheses, test those assumptions and further knowledge and understanding. Additional characteristics of a scientist include: their methodology, such as their use of statistics.
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A 0.600-kg ball traveling at 4.00 m/s to the right collides with a 1.00-kg ball traveling at 5.00 m/s to the left. After the collision, the lighter ball is traveling 7.25 m/s to the left. What is the velocity of the heavier ball after the collision?
Answer:
Explanation:
The velocity of each ball after the collision can be determined using the law of conservation of momentum. The law of conservation of momentum states that the total momentum of an isolated system remains constant if no external forces are acting on the system. In this case, the two balls form an isolated system before and after the collision, so their total momentum must be conserved.
Let's call the velocity of the heavier ball after the collision "v". The total momentum before the collision is given by:
p_i = (0.600 kg)(4.00 m/s) + (1.00 kg)(-5.00 m/s) = -2.00 kg m/s
The total momentum after the collision is given by:
p_f = (0.600 kg)(v) + (1.00 kg)(-7.25 m/s) = 0.600 kg v - 7.25 kg m/s
Since the total momentum is conserved, we can set the initial momentum equal to the final momentum and solve for v:
p_i = p_f
-2.00 kg m/s = 0.600 kg v - 7.25 kg m/s
Adding 7.25 kg m/s to both sides and dividing both sides by 0.600 kg, we get:
v = (2.00 kg m/s + 7.25 kg m/s) / 0.600 kg = 9.25 m/s
So, the velocity of the heavier ball after the collision is 9.25 m/s.
Answer:
The velocity of the heavier ball after the collision is 3.05 m/s
Explanation:
This is an example of partially elastic collision. In a partially elastic collision, momentum is conserved and the objects move at different speeds. A portion of the initial kinetic energy is still retained by the colliding objects after the impact.
The conservation of momentum states that the total momentum of the two objects before the collision is equal to the total momentum of the two objects after the collision.
The formula for momentum is
[tex]p=mv[/tex]
We can conclude that
[tex]m_1v_{1i} +m_2v_{2i}=m_1v_{1f} +m_2v_{2f}[/tex]
Let object 1 be the 0.600 kg ball.
Let object 2 be the 1.00 kg ball.
We are given
[tex]m_1=0.600\\v_{1i} =4.00\\m_2=1.00\\v_{2i} =5.00\\v_{1f} =7.25[/tex]
Inserting our given values into the equation gives us
[tex](0.600*4.00)+(1.00*5.00)=(0.600*7.25)+\left(1.00*v_{2f}\right)[/tex]
Lets solve for [tex]v_{2f}[/tex].
Evaluate each set of parenthesis.
[tex]2.4+(1.00*5.00)=(0.600*7.25)+\left(1.00*v_{2f}\right)[/tex]
[tex]2.4+5=(0.600*7.25)+\left(1.00*v_{2f}\right)[/tex]
[tex]2.4+5=4.35+\left(1.00*v_{2f}\right)[/tex]
Anything multiplied by 1 stays the same.
[tex]2.4+5=4.35+v_{2f}[/tex]
Add 2.4 and 5.
[tex]7.4=4.35+v_{2f}[/tex]
Subtract 4.35 from both sides of the equation.
[tex]3.05=v_{2f}[/tex]
What is the maximum distance we can shoot a dart, provided our toy dart gun gives a maximum initial velocity of 9.12m/s?
The distance that is covered is 8.5 m.
What is the maximum distance?We have to note that the movement of the dart would be the movement of a parabola. We would need to know that in this case, the first thing that we should find is the time that has been taken;
t = u sin 45/0.5 * 9.8
t = 9.12 sin 45/0.5 * 9.8
t = 1.32 s
Then we have that;
R = Vxt
Thus the distance that is covered is;
R = 9.12 cos45 * 1.32
R = 8.5 m
We can see that the projectile movement of the dart would cover a horizontal distance of about 8.5 m
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A person standing at the edge of a cliff throws one rock straight up and another rock straight down at the same initial speed. The rock that was thrown ______ has less speed at impact
The rock thrown straight up will have less speed at impact compared to the rock thrown straight down.
The rock that was thrown straight up will experience slower speed at impact due to the effect of gravity. As the rock rises, gravity will slow its velocity and increase its potential energy. At the highest point, its velocity will be zero and its potential energy will be at a maximum.
As the rock falls back down, it will convert potential energy back into kinetic energy, reaching its maximum speed just before impact. The rock thrown straight down, on the other hand, will not experience any change in velocity as it falls due to gravity, leading to a higher speed at impact.
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The measured total pressure for each trial is the sum of the vapor pressure of the liquid and the pressure due to any air trapped in the flask (see equation 1 in the introduction) a) What happens to the air pressure in higher temperature flasks? Explain in terms of molecular motion. b) Calculate corrected air pressures for any of the trials that were not performed at the same temperature as the atmospheric pressure data. Hint: P1/T1 = P2/T2
As the temperature of the flask increases, the molecules in the air become more energetic, resulting in an increase in air pressure.
Given the total pressure measured for the each trail = vapor pressure of liquid + pressure due to any air trapped in the flask.
a) The pressure of the gas rises because the molecules collide with the container walls more frequently as a result of the faster collisions between the molecules and the walls. This is because the molecules are moving faster and collide more often with the walls of the flask, creating a greater force.
b) To calculate the corrected air pressure, the ideal gas law can be used (P1/T1 = P2/T2). The atmospheric pressure (P1) and temperature (T1) must be known for the trial and the temperature (T2) of the flask must be known. The corrected air pressure (P2) can then be calculated.
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A car is stopped at a traffic light. It then travels along a straight road so that its distance from the traffic light is given by x(t)=bt2−ct 3, where b=2.40ms −2 and c=0.120ms −3.The instantaneous velocity of the car at t=5.0s is?
The instantaneous velocity of the car at t = 5.0 s is -3 m/s. The negative sign indicates that the car is moving in the opposite direction from the traffic light at that moment.
What is instantaneous velocity ?Instantaneous velocity is the velocity of an object at a specific point in time. It is the rate of change of the object's position at that particular moment, and it is represented by the derivative of the object's position with respect to time. Instantaneous velocity is a vector quantity, meaning it has both magnitude and direction. It can be determined by taking the limit of the average velocity as the time interval approaches zero. It is also the limit of the average acceleration when the time interval approaches zero.
This can be found by taking the derivative of the equation [tex]x(t) = bt2 − ct3[/tex]with respect to t. The derivative of this equation is [tex]v(t) = 2bt - 3ct^2.[/tex]Plugging in the given values of b and c, and evaluating the equation at t=5.0s gives the instantaneous velocity of the car.
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a star with 0.5 apparent magnitude would appear how many times brighter than a star with 5.5 apparent magnitude? Therefore the star with apparent magnitude 0.5 must be how many times farther away?
The star with an apparent magnitude of 0.5 appears approximately 100.06 times brighter than the star with an apparent magnitude of 5.5. It is approximately 10 times closer to us.
The magnitude scale used in astronomy is logarithmic, which means that each whole number increase or decrease in magnitude represents a difference in brightness by a factor of approximately 2.512. Therefore, to determine the relative brightness between two stars, we can calculate the difference in magnitude and then use this factor.In this case, the difference in apparent magnitude between the two stars is 5.5 - 0.5 = 5 magnitudes. Using the factor of 2.512, we can calculate the relative brightness:Brightness factor = 2.512^(difference in magnitude) = 2.512^5 ≈ 100.06So, the star with an apparent magnitude of 0.5 would appear approximately 100.06 times brighter than the star with an apparent magnitude of 5.5.To determine the distance between the two stars, we can use the inverse square law of light. Since brightness decreases with distance squared, if one star appears 100.06 times brighter, it must be approximately [tex]\sqrt{ 100.06}[/tex] ≈ 10 times closer to us than the star with apparent magnitude 5.5.For more questions on magnitude
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a researcher interested in identifying common patterns of traits that characterize whole persons will likely use a approach.
A researcher interested in identifying common patterns of trait variation that characterize whole persons is using an essential-trait. approach
What is an essential-trait?In the context of this article, an essential quality is a component that could not be left out of a concept's primary definition. When something is excluded, the definition is changed, and it might no longer be a definition at all or it might refer to another idea.
Qualitative traits, like eye color, can also be quantitative (such as height or blood pressure). A specific characteristic is a component of a person's overall phenotype.
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A investigation was done, wrapping copper wire around the nail and sticking it with a tape to the battery, im measuring the number of pins which could pick up, what can be the control variable?
The number of pins that can be lifted depends on the potential difference of the battery.
What is electromagnetic induction?You may create a weak magnet by coiling some copper wire and attaching the ends to a small battery. Coil your copper wire around an enormous iron nail to create an even more powerful electromagnet. Magnetic induction causes the nail to become into a magnet, strengthening the entire structure.
An investigation was done, wrapping copper wire around the nail and sticking it with tape to the battery.
The magnetic force depends on the potential difference of the battery.
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Momentum is defined as mass times velocity. You find the mass of a car to be 2014.88 kg and the velocity of the car to be 7.85 m/s, giving you a momentum of 15816.808 kg-m/s.
Round this momentum to the correct number of significant digits.
The momentum is 15817 kg-m/s rounded to the nearest whole number.
What is momentum?Momentum is a measure of an object's motion. It is defined as the product of an object's mass and its velocity. In mathematical terms, momentum (p) is equal to the mass (m) of an object times its velocity (v): p = m × v.
The unit of momentum is kilogram-meter per second (kg-m/s). The concept of momentum is important in physics, particularly in the study of motion, forces, and collisions. It provides a useful way of understanding and describing the motion of objects in the real world.
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round around the sun. earth. satellite is a satellite that cebits the equator with the same angalar velocity a Part Two: Match the items ander column "B" with the items under column "A" as related A B 9. Friction charges 10. Loss electrons 11. Like charges A Repel forces B. Positive charges C. Charging by rubbing D. Attracting forces E 12. Unlike charges 13. Neutral charges E. Charging by induction Part Three: Choose the correct answer from the given alternatives. 14. If Charge Ql attracts Q2 and charges Q2 repels charge Q3. Which of the following is correct their signs? A. D.- 13. The electric field strength at a point is defined by the force of A. Source charges B. Test charge C. An electron D. Proton C B 6. Orbital velocity of a satellite does not depend on: A. Mass of earth B. Mass of satellite C Radius of earth D. Acceleration due to gravity 7. When a planet moves around the sun: A the angular moment remains conserved. B. The angular speed remains constant. C. The linear momentum remains constant. D. The linear velocity remains constant. - Kepler's law of area is consequence of A. conservation energy. B. conservation of mass. C. conservation of linear momentum. D. conservation of angular momentunt. A current of 4A flows through 2011 resistors. How much power is lost in the resistor? A. 320w B. 80w C. 24w D. 60 A boy observed that a pen rubbed on his dry hair attracted a nearby neutral piece of paper cause of the attraction? A. Magnetic forces B. Nucleus forces C. Gravitational forces D. Electrostatic forces What will happen to the electric potential at a point in the field if the distance from the c Decrease by half B. Increase two times C. Increase four times D. Decrease to he distance between plates of a parallels plate capacitor is 1cm. If the electric field st at is the potential difference between the plates of the capacitor? B. 0.13/c Die C. 10J/c D. 0.013/c
The matchup are given below
9. Friction charges: Charging by rubbing (C)
10. Loss electrons: Positive charges (B)
11. Like charges: Repel forces (A)
12. Unlike charges: Attracting forces (D)
13. Neutral charges: Charging by induction (E)
14. If Charge Q1 attracts Q2 and charges Q2 repels charge Q3, the correct sign of their charges is: Unlike charges (D)
15.The electric field strength at a point is defined by the force of: Test charge (B)
16. Orbital velocity of a satellite does not depend on: Mass of earth (A)
17. When a planet moves around the sun: The angular moment remains conserved (A)
18. Kepler's law of area is a consequence of: conservation of angular moment (D)
18. If a current of 4A flows through a 2011 ohm resistor, the power lost in the resistor is: 80W (B)
20. If a boy observed that a pen rubbed on his dry hair attracted a nearby neutral piece of paper, the cause of the attraction is: Electrostatic forces (D)
21. If the distance from a point in the electric field is decreased by half, the electric potential at that point will: Increase four times (C)
22. The potential difference between the plates of a parallel plate capacitor with a distance of 1cm between plates and electric field strength of 10J/c is: 0.13V/c (B)
What are the statements about?The term "Friction charges" refers to the process of charging an object by rubbing it against another material. When two materials are rubbed together, electrons can be transferred from one material to the other, creating a static electric charge. The resulting charge on the object is referred to as "friction charges."
Therefore, in terms of Loss electrons: The term "Loss electrons" refers to a situation in which an object loses electrons and becomes positively charged. This can occur when electrons are transferred from the object to another material through a process such as friction charging or electrical discharge. When an object loses electrons, it has a surplus of positively charged particles and is said to have a positive charge.
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A 66 kg student traveling in a car with a constant velocity has a kinetic energy of 1.1 104 J. What is the speedometer reading of the car in km/h?
Answer:
The speedometer reading of the car in km/h is 100.1 km/h. This can be calculated by using the formula K = 0.5mv2, where K is the kinetic energy, m is the mass, and v is the velocity. Rearranging this equation to solve for v yields v = √(2K/m). In this case, m = 66 kg and K = 1.1 x 104 J, so v = √(2 x 1.1 x 104 J/ 66 kg) = 100.1 km/h.
1/1 For the 3500-lb car, determine (a) its mass in slugs, (6) its weight in newtons, and (c) its mass in kilograms. W = 3500 lb Problem 1/1 1/2 Determine your mass in slugs. Convert your weight to newtons and calculate the corresponding mass in kilograms. 1/3 For the given vectors V, and V2, determine V1 + V2, Vi + VV-V, V, V, V, X V1, and V.V. Consider the vectors to be nondimensional. у V2 = 12 V1 = 15 3 60° x
1/1. For the 3500-lb car, its mass in slugs is 108.7 slug, its weight in newtons 15540 N, and its mass in kilograms is 1584 kg. 1/2. For my weight, mass in slug is 3.421 slug, weight in newton is 488.4 N, and corresponding mass in kg is 49.786 kg. 1/3. Based on the given vectors\vec{V1}+\ \vec{V2}=18i+\left(9+6\sqrt3\right)j, \vec{V1}-\ \vec{V2}=6i+\left(9-6\sqrt3\right)j, \vec{V1}\ast\ \vec{V2}=165.53\ units, \vec{V1}\ x\ \ \vec{V2}=\left(72\sqrt3-54\right)k, and \vec{V2}\ x\ \ \vec{V1}=\left(54-\ 72\sqrt3\right)k.
1/1. The weight of the car in pounds is given as 3500 lb. According to the unit conversion, as 1 lb is equal to 0.0311, the mass of the car in slugs is:
Mass = 3500 x 0.0311 = 108.7 slug
As 1 lb is equal to 4.44 N, the weight of car in newtons is:
Weight = 3500 x 4.44 = 15540 N
The equation for weight is given by:
W = mg where m is mass in kg and g is the gravity equal to 9.81 m/s^2
Hence, the mass is given by:
m= W/g=15540/9.81=1584 kg
1/2. My weight in pounds = 110 pounds
Mass in slug = 110 x 0.0311 = 3.421 slug
Weight in newton = 110 x 4.44 = 488.4 N
Corresponding mass in kg is:
m=488.4/9.81=49.786 kg
1/3. The magnitude of vector 1 = 15 units
The magnitude of vector 2 = 12 units
The angle of inclination of vector 2 from the horizontal θ = 60∘
The vector 1 is given by:
\vec{V1}=V1\ast\left(\frac{4}{5}\right)i+V1\ast\left(\frac{3}{5}\right)j=15\ast\left(\frac{4}{5}\right)i+15\ast\left(\frac{3}{5}\right)j=12i+9j
The vector 2 is given by:
\vec{V2}=V2\ cos\theta i+V2sin\theta j=12cos60i+12sin60j=6i+6\sqrt3j
Sum of the two vectors is:
\vec{V}=\ \vec{V1}+\ \vec{V2}
\vec{V}=(12i+9j)+(6i+6\sqrt3j)
\vec{V}=\ 18i+(9+6\sqrt3)j)
Difference of the two vectors is:
\vec{V}=\ \vec{V1}-\ \vec{V2}
\vec{V}=\left(12i+9j\right)-(6i+6\sqrt3j)
\vec{V}=\ 6i+(9-6\sqrt3)j)
The dot product of the two vectors is:
\vec{V}=\ \vec{V1}\ast\ \vec{V2}
\vec{V}=\left(12i+9j\right)\ast(6i+6\sqrt3j)
\vec{V}=\ 165.530\ unit
The cross product of the two vectors is:
\vec{V}=\ \vec{V1}\ x\ \vec{V2}
\vec{V}=\left(12i+9j\right)x(6i+6\sqrt3j)
\vec{V}=\ 72\sqrt3k-54k=(72\sqrt3-54)k
The cross product of the two vectors is:
\vec{V}=\ \vec{V2}\ x\ \vec{V1}\
\vec{V}=(6i+6\sqrt3j) x \left(12i+9j\right)
\vec{V}=\ 54k-\ 72\sqrt3k=(54-\ 72\sqrt3)k
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How do you convert a proton into an electron. Answer in words and math.
Answer:
The ability of a substance to be reused depends on various factors such as its chemical and physical properties, how it is processed and used, and the environmental conditions it is exposed to. Some substances can be easily purified or restored to their original state, while others may undergo chemical changes or deteriorate during use, making it difficult or impossible to reuse them. Additionally, the cost and availability of alternative materials, as well as regulations and policies, can also impact the decision to reuse a substance.
A person pushes a 16.0-kg shopping cart at a constant velocity for a distance of 22.0 m. She pushes in a direction 29.0� below the horizontal. A 48.0-N frictional force opposes the motion of the cart. (a) What is the magnitude of the force that the shopper exerts? Determine the work done by (b) the pushing force, (c) the frictional force, and (d) the gravitational force.
The force that the shopper exerts is equal to the frictional force of 48.0 N in the opposite direction.
The work done by the pushing force is equal to the force multiplied by the distance, W = Fd = (48.0 N)(22.0 m) = 1056 J. The work done by the frictional force is equal to the opposite of the work done by the pushing force, W = -1056 J.
The work done by the gravitational force is zero since the gravitational force is in the opposite direction of the displacement and the object is not moving up or down, it is moving horizontally.
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Compare the force of gravity on the Moon due to the Earth, and the force of gravity on the Earth due to the Moon.
A. The force on the Moon is greater than the force on the Earth.
B. The forces are equal and opposite.
C. The force on the Earth is greater than the force on the Moon.
After comparing the force of gravity on the Moon due to the Earth, and the force of gravity on the Earth due to the Moon, we find that The forces are equal and opposite. Thus, option B is correct.
What is gravity?The force that unites all matter is called gravity (which is anything you can physically touch). The gravitational pull of objects with a lot of matter, such as planets, moons, and stars, increases with their mass.
The quantity of matter in something is determined by its mass. Everything has a gravitational pull, and this pull increases with mass. The Earth pulls on us as we walk on its surface, and we yank back in response. The Earth's pull can cause us to fall to the ground, whereas our pull is insufficient to move the Earth because it is so much heavier than we are.
In this system both the objects have mass so the gravitational force between them is,
[tex]$\mathrm{F = \frac{GM_1M_2}{R_2} }[/tex]
For the earth moon system,
[tex]$\mathrm{F_{e/m} = \frac{GM_eM_m}{R_2} }[/tex] and [tex]$\mathrm{-F_{m/e} = \frac{GM_eM_m}{R_2} }[/tex]here negative sign stands for opposite direction.
According to Newton's third law of motion, gravitational forces from the earth to the moon are equal but opposite in direction. Because the gravitational force formula is based on the masses of both objects, the formula applies to both objects.
Therefore, B. The forces are equal and opposite is correct.
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A negative charge, which is free to move is released from rest in an electric field Neglect non-electrical forces. It will always move to a position with O higher potential O lower potential O electric field with higher magnitude. O electric field with lower magnitude. O larger electrical force O smaller electrical force
The correct option is A. A negative charge, which is free to move is released from rest in an electric field Neglecting non-electrical forces. It will always move to a position with higher potential.
The ability difference between any points inside the electric-powered field is defined as the quantity of labor done in transferring a unit of fantastic charge without acceleration from one point to another alongside any route among the 2 factors. The distinction in price between higher capability and lower capacity is known as a voltage or capacity distinction.
The voltage between points can be a result of the build-up of electric rate (e.g., a capacitor), and from an electromotive pressure (e.g., electromagnetic induction in generators, inductors, and transformers).On a macroscopic scale, a potential distinction can be due to electrochemical methods (e.g., cells and batteries), the stress-induced piezoelectric effect, and the thermoelectric effect.
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What is differential equation for the velocity of a falling object of mass m if the magnitude of the drag force is proportional to the square of the velocity and its direction is opposite to that of the velocity?
The differential equation that describes the velocity of a falling object of mass "m" under the influence of a drag force proportional to the square of the velocity and opposite in direction is dv/dt = -(b/m) × v².
The equation for the velocity of a falling object under the influence of drag force is described by a second-order ordinary differential equation. The drag force is proportional to the square of the velocity, and its direction is opposite to that of the velocity, which gives the equation:
F_drag = -bv²
where b is a constant of proportionality and v is the velocity of the object.
Newton's second law of motion states that the net force acting on an object is equal to its mass multiplied by acceleration, or:
F_net = m × a
Combining these two equations, we have:
m × dv/dt = -bv²
Rearranging the equation we have:
dv/dt = -(b/m) × v².
This is the ordinary differential equation that describes the velocity of a falling object under the influence of a drag force proportional to the square of the velocity and opposite in direction. To solve this equation, we would need to specify initial conditions for the velocity and position of the object, as well as the value of the constant b.
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use the results from parts b and c in the product rule of differentiation to find a simplified expression for the vertical velocity of the car,
The car's vertical velocity must be determined using the differentiation chain. When f(x) be only a function over g(x), or if g(x) is scaled by a derivative of f, so the derivative of a function is equal to the deduction (x).
How can I calculate velocity?The object's beginning velocity may be calculated by dividing the total distance traveled by the time period it took the object to go a specific distance. In the formula V = d/t, V is the speed, d speed distance, and t the time.
A velocity vector, does it have a direction?Velocity is a vector quantity. Therefore, velocity is cognizant of direction. The direction must be taken into account when determining an object's velocity.
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How can you show respect of others intellectual property?
Answer:
You can show respect for others' intellectual property by:
Acknowledging the source of the material and giving credit to the original creator or owner.Obtaining permission before using or reproducing any protected material, such as patents, trademarks, copyrights, or trade secrets.Following all laws and regulations related to intellectual property, such as the Digital Millennium Copyright Act (DMCA).Not infringing on others' intellectual property rights by creating or distributing counterfeit or fake products.Being mindful of others' rights and taking steps to protect their intellectual property, just as you would want others to respect your own.suppose that vehicles taking a particular freeway exit can turn right (r), turn left (l), or go straight (s). consider observing the direction for each of three successive vehicles.
the direction for each of three successive vehicles. A = {RRR,LLL,SSS} , B = {RLS, RSL, LSR, LRS, SRL, SLR} C = {RRS, RRL, RSR, RLR, LRR, SRR}
What is the best definition of direction?Direction is defined as the path that something takes, the path that must be taken to reach a specific place, the way in which something is starting to develop or the way you are facing. An example of direction is when you go right instead of left.
What is direction in a sentence?the course or path on which something is moving or pointing. The army attacked from three different directions. Down the road, he could see a bus coming from the opposite direction. The wind changed direction and started blowing in faces.
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A one-fifth scale model of a parachute has a drag of 450 lbs when tested st 20 ft/s in a water tunnel. If Reynolds No effects are negligible (drag coefficient is a constant), estimate the terminal fall velocity at 5000 ft if the weight of chute and chutes is 160 lbs Neglect drag on woman (only consider chute).
When evaluated at 20 feet per second in a water tunnel, a parachute model that is one-fifth the size does have a drag of 450 pounds. When Reynolds Negligible consequences don't exist.
Describe a scale?Something graded, especially if used as a benchmark or guideline, such as to show how far points on a map are from their corresponding real-world distances.
A thermometer is what?It was created to measure the body temperature of people. It has a mercury-filled bulb at the end of a long, narrow glass tube. The average body temperature of a person might vary between these ranges. Hence, the selection of clinical thermometers.
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A parachute is used to decelerate a skydiver from an initial velocity of vo = 83 m/s to a velocity of vf = 9 m/s. The deceleration produced by the parachute is a = (-0.0302) m/s2. Determine the distance in [m], As, required to reach its final speed. As = number (3 significant figures) [m]
The distance required to be covered by the skydiver to reach the final speed is found to be 378.22m.
The deceleration produced by the parachute is -0.0302m/s². The final and the initial velocity of the skydiver are 9m/s and 83m/s respectively.
Now, we know the equation of motion,
V² - U² = 2as
Where,
V and U are the final and the initial velocity,
a is the net acceleration,
s is the distance covered by the parachute.
Now, putting all the values,
(9)²-(83)² = 2(-0.0320)s
s = 378.22 m.
So, distance that should be travelled by the skydiver is 378.22m.
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If the ratio of distance from the epicenter to S-P lag time is 10 to 1, what would the distance be if the S-P lag time is 23.2 minutes?
A 6.30 m length of 2.3 mm diameter wire carries a 790 mA current when 25.0 mV is applied to its ends.(a) Determine the resistance of the wire.(b) Determine the resistivity.(c) If the drift speed is 1.8×10−5 m/s1.8×10−5 m/s, determine the number of free electrons per unit volume.
The resistance, resistivity and the drift speed of electrons are as follows:
What is resistance?
Resistance is a measure of how difficult it is for electric current to flow through a material. It is defined as the ratio of the voltage across the material to the current passing through it. Mathematically, resistance can be expressed as R = V/I, where R is the resistance, V is the voltage, and I is the current.
a) To determine the resistance of the wire, we can use Ohm's law, which states that the current (I) flowing through a conductor between two points is directly proportional to the voltage (V) across the two points and inversely proportional to the resistance (R) of the conductor:
V = I × R
We have the voltage (V) and current (I) values, so we can calculate the resistance as follows:
R = V / I
R = 25.0 mV / 790 mA
R = 0.03175 Ω
b) The resistivity of a material is a measure of its resistance to the flow of electrical current. It is a property of the material and is independent of the size and shape of the conductor. The formula for resistivity is given by:
ρ = R × A / l
Where R is the resistance, A is the cross-sectional area of the wire, and l is its length. We have the resistance value, so we can calculate the resistivity as follows:
ρ = R * A / l
[tex]\mathrm{\rho = 0.03175 \Omega \times \pi \times \dfrac{ (2.3 mm / 2)^2 }{ 6.3 m} }[/tex]
ρ = 1.57 × 10⁻⁸ Ω m
c) The drift speed of electrons in a conductor is a measure of the average speed of the free electrons in the conductor. It is given by:
[tex]\mathbf{v_d}[/tex] = I / (nₑ × A)
Where I is the current, ne is the number of free electrons per unit volume, and A is the cross-sectional area of the wire. We have the drift speed and current values, so we can calculate the number of free electrons per unit volume as follows:
nₑ = I / ([tex]\mathrm{v_d}[/tex] × A)
[tex]\mathrm{n_e = \dfrac{790 mA}{ 1.8 \times 10^{-5} m/s \times \pi \times (2.3 mm / 2)^2} }[/tex]
nₑ = 1.05 × 10²⁸ m⁻³
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write two different between pascals law and archimedes principles
Answer:
Pascal's principle states that pressure increases by the same amount throughout an enclosed or confined fluid. ... Archimedes' principle states that the buoyant force acting on a submerged object is equal to the weight of the volume of fluid displaced by the object.