Answer:
The potential difference across the battery can be calculated using the equation:
Potential difference (V) = Energy supplied (J) / Charge (C)
Energy supplied during each second = 2.3 coulombs * 4.2 J/C = 9.66 J
Therefore, the potential difference across the battery would be:
Potential difference (V) = 9.66 J / 2.3 C = 4.2 V
So the potential difference across the battery is 4.2 volts.
Usain Bolt made it to the 100m mark in 9.92s. What was his displacement? The radius of the turn is 36.3m
The displacement of the Usain Bolt will be 100 m if ran a straight path. (There is need to specify the shape of the track, did he return to the initial position?)
What is the displacement of Usain Bolt?
Displacement is a vector quantity that measures the overall change in position of an object, from its initial position to its final position.
It is defined as the straight-line distance between the initial and final positions, along with the direction from the initial to the final position.
Δx = x₂ - x₁
where;
x₁ is the initial positionx₂ is the final positionΔx = 100 m - 0 m
Δx = 100 m
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Four small spheres, each charged to +15 nC, form a square 2.0 cm on each
side. From far away, a proton is shot toward the square along a line perpendicular to the square and passing through its center. What minimum initial speed does the proton need to pass through the square of charges?
The minimum initial speed of the proton needed to pass through the square of charges is 5.09 x 10^6 m/s.
Describe Charge?Charge is a fundamental physical property of matter that describes the degree to which it interacts with electromagnetic fields. It is an intrinsic property of subatomic particles, such as protons and electrons, that gives rise to electric and magnetic forces.
The basic unit of charge is the Coulomb (C), named after the French physicist Charles-Augustin de Coulomb, who first quantified the electric force between charged objects. A single proton or electron has a charge of approximately 1.6 x 10^-19 Coulombs.
Electric charge is conserved, which means that the total amount of charge in a closed system remains constant over time. Charges can be positive, negative, or neutral, and like charges repel each other, while opposite charges attract each other.
Charge is an important property in many areas of physics, including electromagnetism, quantum mechanics, and particle physics. It is also a crucial concept in many practical applications, such as electronics, power generation, and communication systems.
We can solve this problem using the principle of conservation of energy. The initial kinetic energy of the proton must be equal to the work done by the electrostatic force of the charged spheres on the proton as it passes through the square.
The electrostatic force between two charges q1 and q2 separated by a distance r is given by Coulomb's law:
[tex]F = k * q1 * q2 / r^2[/tex]
where k is the Coulomb constant, which has a value of
[tex]8.99 x 10^9 N m^2 / C^2.[/tex]
Since the four spheres are identical and equally spaced, the electrostatic force on the proton due to each sphere will have the same magnitude and direction. We can calculate the force on the proton due to one sphere and multiply by 4 to get the total force:
[tex]F = 4 * k * q * q_p / r^2[/tex]
where q is the charge on each sphere (+15 nC), q_p is the charge on the proton (-1.6 x 10^-19 C), and r is the distance from the center of the square to the proton's initial position (which we will assume is the same as the distance from the center of the square to the closest sphere, which is sqrt[tex](2)/2 * 0.02 m = 0.0141 m).[/tex]
The work done by the electrostatic force as the proton passes through the square is:
W = F * d
where d is the length of the square (2 cm = 0.02 m).
Equating the initial kinetic energy of the proton to the work done by the electrostatic force, we get:
[tex](1/2) * m * v_i^2 = 4 * k * q * q_p * d / r^2[/tex]
where m is the mass of the proton (1.67 x 10^-27 kg) and v_i is the initial speed of the proton.
Solving for v_i, we get:
[tex]v_i = sqrt(8 * k * q * q_p * d / (m * r^2))[/tex]
Plugging in the values, we get:
[tex]v_i = sqrt(8 * 8.99 x 10^9 N m^2 / C^2 * 15 x 10^-9 C * 1.6 x 10^-19 C * 0.02 m / (1.67 x 10^-27 kg * (0.0141 m)^2))v_i = 5.09 x 10^6 m/s[/tex]
Therefore, the minimum initial speed of the proton needed to pass through the square of charges is [tex]5.09 x 10^6 m/s.[/tex]
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A woman normally weighs 125 lb. If she is standing on a spring scale in an elevator that is traveling downward, but slowing down, the scale will read.
The reading on the spring scale will depend on the acceleration of the elevator and the direction of that acceleration.
If the elevator is traveling downward but slowing down (i.e., accelerating in the upward direction), the scale will read less than the woman's normal weight of 125 lb. This is because the upward acceleration of the elevator reduces the effective weight of the woman, making her appear lighter on the scale. To determine the reading on the scale, you would need to know the acceleration of the elevator at that particular moment. If the elevator is slowing down at a rate of, say,[tex]2 m/s^2,[/tex]then the scale would read:
Weight = mass x acceleration due to gravity
Weight =[tex]56.7 kg x (9.81 m/s^2 - 2 m/s^2)[/tex]
Weight =[tex]56.7 kg x 7.81 m/s^2[/tex]
Weight = [tex]442.5 N[/tex]
Converting this to pounds, the reading on the scale would be approximately:
Weight = [tex]442.5 N x (1 lb / 4.448 N)[/tex]
Weight[tex]≈ 99.4 lb[/tex]
So, the scale would read approximately 99.4 lb, which is less than the woman's normal weight of 125 lb.
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A wave on a small lake has an amplitude of 0. 1 meters. What happens to the energy of the wave by doubling its height to 0. 2 meters?.
The energy of a wave is proportional to the square of its amplitude. Doubling the amplitude of a wave quadruples its energy.
Therefore, if the original wave on the small lake had an amplitude of 0.1 meters and a certain amount of energy, doubling its amplitude to 0.2 meters would increase its energy by a factor of 4. In other words, the energy of the wave would become 4 times greater than its original value.
What do you mean by amplitude?The largest deviation a wave can make from its equilibrium position is referred to as its amplitude. In plainer terms, it refers to the height of a wave, or the distance between the highest point (the wave's crest) and the lowest point (its trough).
A wave's energy, or the entire amount of work that the wave may exert on its surroundings, is measured by the amplitude of the wave. The wave carries more energy the larger its amplitude.
The term "amplitude" is frequently used to describe a variety of waves, such as sound, light, and water waves. It is typically expressed as a "A" sign and is measured in units of measurement like meters or feet.
To calculate the energy of the wave by doubling its height:
(Energy after / Energy before) = (Amplitude after)^2 / (Amplitude before)^2
Substituting the given values, we get:
(Energy after / Energy before) = (0.2)^2 / (0.1)^2 = 4
This means that the energy of the wave after doubling its amplitude would be four times the energy of the original wave.
So, if the original wave had an energy of E, the energy of the wave after doubling its amplitude would be 4E.
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According to the conservation of momentum, the momentum before a collision should be _______ the momentum after the collision.
A.greater than
B.less than
C.double
D.equal to
Answer:
D. equal to
Explanation:
The law of conservation of momentum states that momentum is conserved, so it would stay the same.
3. The Impact was the first commercial electric car to be developed in over 60
years. During performance tests in 1994, the car reached a top speed of nearly
296 km/h. Suppose the car started at rest and then underwent a constant
acceleration of 1.6 m/s² until it reached its top speed. How long did it take the
Impact to reach its top speed?
According to the question, the impact of an electric car to reach its top speed is found to be 51 sec.
What is Acceleration?Acceleration may be defined as the process of the rate of change of the velocity of an object with respect to time. It is a vector quantity as it has both magnitude and direction.
According to the question,
The acceleration of an electric car = 1.6 m/s²
The speed of an electric car = is 296 km/hour = 1000 m/hour. = 82.2 m/sec.
The acceleration of any moving object is calculated with the help of the following formula:
Acceleration, a = change in velocity/time taken.1.6 m/s² = 82.20 - 0/t
t = 51.45 sec ≅ 51 seconds.
Therefore, the impact of an electric car to reach its top speed is found to be 51 sec.
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A railroad diesel engine weighs four times as much as a freight car. The diesel engine coasts at 6.0 km/h into a freight car that is initially at rest.
A= 4.8km/h
The engine weighs four times as much as a freight car. Therefore, the final velocity following connection is 4 km/h.
How can you calculate final velocity following a collision?v′=m1v1+m2v2m1+m2 m1 is the weight of item 1, v1 is indeed the velocity of the object of item 1, m2 is indeed the mass of argument 2, and v2 is the starting velocity of instrument 2 wherein v' is the final speed of a two objects after they travel as one mass after the collision.
The final velocity following an elastic collision is what.The velocity of the special properties in a head-on object with a projectile that is significantly more massive than target the projectile's speed before and after the contact will be roughly equal, and the projectile's speed will practically remain unaltered.
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Problem:
Ash throws a Pokéball at an upwards angle of 30° above the horizontal with a speed of 5m/s
trying to catch a shiny Castform. If the Castform is on the ground and hit, find how far away it
was, as well as the max height the ball reaches. Assume the acceleration of the gravity for the
planet they are on has a value of g=9.8m/s^2 and we can ignore air resistance.
Draw a well labeled diagram of the physical situation. Make sure the initial velocity is drawn as
a vector and the trajectory is drawn, showing the coordinate axes with directions. Label
accelerations and the point where the ball reaches max height.
Hints: break the initial velocity into x and y parts, solve the y parts of the problem to find the
time, then use the result to solve the y parts.
Answer:
Explanation:
Here is a step by step explanation of how to solve the problem:
Break the initial velocity into x and y components. The velocity of the Pokéball can be broken down into two components: the horizontal component (vix) and the vertical component (viy). The horizontal component remains constant throughout the motion and has a value of vix = vcosθ, where v is the magnitude of the velocity and θ is the angle of launch. The vertical component changes due to the acceleration of gravity and has a value of viy = vsinθ - gt, where t is time.
Solve for the time of flight. We want to find the time it takes for the Pokéball to reach its maximum height, so we need to set viy = 0 and solve for t:
0 = vsinθ - gt
gt = vsinθ
t = vsinθ / g
Calculate the maximum height. The maximum height is reached when the vertical component of velocity is equal to zero, so we can use the equation:
h = viy^2 / (2g)
h = (vsinθ)^2 / (2g)
Calculate the range. The range is the horizontal distance traveled by the Pokéball during its flight, and it can be found using the equation:
x = vix * t
x = vcosθ * (vsinθ / g)
Draw a well labeled diagram of the physical situation. Draw the coordinate axes, showing the directions, and label the initial velocity as a vector. Show the trajectory of the Pokéball, including the point where it reaches its maximum height, and label the acceleration due to gravity.
6528 8891
A 0.25 kg ball with a velocity of 63 m/s strikes a 1.25kg ball at rest. After the collision, th
balls bounce off each other, and the 1.25 kg ball is moving with a velocity of 9m/s. Whc
is the velocity (in m/s) of the 0.25 kg ball?
Round your answer to the nearest whole number but leave units out of your answer.
Answer:
Answer is in the attached photo.
Explanation:
SolutionThe solution is in the attached photo, do take note the formula for linear collision:
m₁v₁i + m₂v₂i = m₁v₁f + m₂v₂f
where 'i' is the initial state and 'f' is the final state.
A battery is connected to an electrical circuit. During each second, 2.3 coulombs of charge pass through the battery when the switch is closed. The battery supplies energy to each coulomb of charge at a rate of 4.2J C^-1. Take 1 C = 6.24 x 10^18 electrons
State the potential difference across the battery
The potential difference across the battery is 4.2 volts.
What is potential difference?
Potential difference is described as the amount of work energy required to move an electric charge from one point to another.
The unit of potential difference is the volt.
The potential difference across the battery is calculated using the equation:
V = W / Q
Workdone = Q * Vbattery = 2.3 C * 4.2 J/C = 9.66 J
Therefore, the voltage across the battery can be calculated as:
V = W / Q = 9.66 J / 2.3 C = 4.2 V
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If a ball rolls 35 can in 2.1 seconds, what is the velocity of the balls?
Answer:
16.67 cm/s
Explanation:
To calculate the velocity of the ball, we need to divide the distance it travels by the time it takes to travel that distance.
velocity = distance / time
So for the ball that rolls 35 cm in 2.1 seconds, the velocity can be calculated as follows:
velocity = 35 cm / 2.1 s = 16.67 cm/s
So the velocity of the ball is 16.67 cm/s. Note that the unit of velocity is distance per time, in this case cm/s.
A 65 kg person sits on a 3.6 kg chair. Each leg of the chair makes contact with the floor in a circle that is 1.1 cm in diameter.
Find the pressure exerted on the floor by each leg of the chair, assuming the weight is evenly distributed.!!!!!!!!!!!!!!!!!!!!URGENT!!!!!!!!!!!!!!!!1
The pressure exerted on the floor by each leg of the chair is [tex]7.080685*10^6M Pa[/tex]
Given :
Mass of person = 65 kg
Mass of chair = 3.6 kg
Diameter of contact point = 1.1 cm = D
Radius of contact point = 1.1/2 = 0.55 cm
The total mass of chair and person = 65 + 3.6 = 68.6 kg = M
Acceleration due to gravity = 9.81 m/s²
Force acting on the floor F
F=mg
F= 68.6 * 9.81
F = 672 .9 N
Area of the contact point
A = [tex]\pi r^2[/tex]
A = [tex]\pi (0.55)^2[/tex]
A = [tex]0.00003025\pi[/tex]
Pressure = force/Area
Pressure = [tex]672.9/0.00003025\pi[/tex]
Pressure =[tex]7.080685*10^6[/tex]
What is pressure in short answer?
Pressure is an expression of force exerted on a surface per unit area. if a force F is applied on area A, then pressure P=F/A.
What is the formula for pressure, force, and area?
Pressure is defined as force per unit area. It is expressed as P = F/A, where P is pressure in pascals, F is the force in newtons, and A is the area in square meters.
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The use of rivers for irrigation in agriculture began in about _____. A. 10,000 bce b. 6,000 bce c. 2,000 bce d. 500 bce please select the best answer from the choices provided. A b c d.
Among the options provided, the most plausible answer is B. 6,000 BCE, where use of rivers for irrigation began.
The use of rivers for irrigation in agriculture has a long history that dates back to ancient times. However, the specific period when this practice began is a matter of debate and uncertainty.
It corresponds to the early civilizations in Mesopotamia, Egypt, and the Indus Valley.
These societies developed complex systems of canals, dams, and levees to manage and distribute water from rivers such as the Tigris, Euphrates, Nile, and Indus. The use of irrigation allowed them to cultivate crops in arid or semi-arid regions and to support larger populations. However, it is worth noting that other regions, such as China, the Americas, and Africa, also developed irrigation practices independently and at different times.
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Which of the following statements best describes the relationship between atoms and conductivity?(1 point)
Responses
Atoms with a nearly empty valence shell make good conductors.
Atoms with many electrons make good insulators.
Atoms with a full valence shell make good conductors.
Atoms with few electrons make good conductors.
The statement that describes the relationship between atoms and conductivity is as follows: Atoms with a full valence shell make good conductors (option C).
What is conductivity?Conductivity is the ability of a material to conduct electricity, heat, fluid or sound.
Conductivity is determined by the types of atoms in a material (the number of protons in each atom's nucleus determines its chemical identity) and how the atoms are linked together with one another.
The atoms which have fewer electronic shells have, the lower the electrical conductivity it has and vice versa.
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Conductors and Insulators Quick Check
100% true
C. The electrons in copper (Cu) are loosely bound to the nucleus.
A. An electrical current that flows in one direction.
A. aluminum (Al)
B. Opposite charges attract one another.
C. Atoms with a nearly empty valence shell make good conductors.
C.
A.
A.
B.
C.
A 6 kg block is moving at 8 m/s. What will be the block's velocity after a 24 Ns impulse
was applied to it?
The change in velocity of an object is given by the equation Δv = F * t / m, where Δv is the change in velocity, F is the force applied, t is the time over which the force is applied, and m is the mass of the object.
In this case, the impulse applied to the block is 24 Ns, and the mass of the block is 6 kg. The time over which the force is applied can be calculated as t = Impulse / Force = 24 Ns / 24 N = 1 s.
Using these values, we can calculate the change in velocity of the block as follows:
Δv = F * t / m = 24 N * 1 s / 6 kg = 4 m/s
So, the velocity of the block after the impulse is applied would be v = v0 + Δv = 8 m/s + 4 m/s = 12 m/s.
Which of these is an example of acceleration?
Answer:
a bus triveling north at 25m/s
what is the difference in mechanical energy from point A to point C below?
Answer:
their speed maybe cause of the ups and downs
If the diameter of the pie is ten inches, the approximate arc length of one slice of pie is select one.
The arc length of one slice of pie is either 5.24 inches for 6 slices or 3.93 inches for 8 slices.
The arc length of one slice of pie can be found by dividing the circumference of the pie by the number of slices it is cut into.
The circumference of the pie can be found using the formula
C = πd
Where d is the diameter of the pie.
Substituting d = 10 inches,
we get:
C = π × 10 inches ≈ 31.42 inches
If we assume that the pie is cut into n equal slices, then the arc length of one slice is approximately:
Arc length ≈ C/n
If we want an approximate value for the arc length, we can use a value of n that is easy to work with,
such as n = 6 for 6 slices or n = 8 for 8 slices.
For n = 6, the arc length of one slice is approximately:
Arc length ≈ 31.42 inches / 6 ≈ 5.24 inches
For n = 8, the arc length of one slice is approximately:
Arc length ≈ 31.42 inches / 8 ≈ 3.93 inches
Therefore, the approximate arc length of one slice of pie is either 5.24 inches for 6 slices or 3.93 inches for 8 slices.
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When light of a certain wavelength is incident on a metal surface no electrons are ejected. Which ONE of the following changes may result in electrons being ejected from the metal surface? A Increase the intensity of the light B
Use light with a much shorter wavelength. C Use metal with a larger work function. D Increase the surface area of the metal.
