The mass of Karla's cart by Newton's second law on applying force will be 12 kg.
What does Newton's second law mean?A detailed explanation of how a force can alter a body's motion is given by Newton's second law. According to this, a body's momentum changes at a rate that is equal to the force acting on it over time in both magnitude and direction.
We know that according to Newton's second law force=mass×acceleration
Now the force needed to push Danielle's cart is 15N.
So, Danielle's car mass is-
In light of the fact that Karla's cart is twice as heavy as Danielle's, Karla's cart's mass can be calculated by multiplying 6 by 2.
So, the mass of Karla's cart is =2×6=12kg.
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A proton moves along the x-axis with vx=1.0×107m/s. a. As it passes the origin, what are the strength and direction of the magnetic field at the (1 cm, 0 cm, 0 cm) position? Give your answer using unit vectors. Express your answer in terms of the unit vectors i^, j^, and k^. b. As it passes the origin, what are the strength and direction of the magnetic field at the (0 cm, 1 cm, 0 cm) position? Give your answer using unit vectors. Express your answer in terms of the unit vectors i^, j^, and k^. c. As it passes the origin, what are the strength and direction of the magnetic field at the (0 cm, -2 cm, 0 cm) position? Give your answer using unit vectors. Express your answer in terms of the unit vectors i^, j^, and k^.
Projectile motion occurs when an item moves both vertically and horizontally through the air while solely being affected by gravity (r = 2 cm).
what is Various proton examples ?A proton is, for instance, the core of a hydrogen ion or the H+ ion. No of the composition, each hydrogen atom has one proton; each particle has two; each lithium atom has three; and so on. Protons are really the positively charged electrons which are evident in the the nucleus of an atom. Atoms, electrons, and neutrons make up an atom. The nucleus, which is in the middle, contains all of an atom's mass. Protons and neutrons, collectively referred to as nucleons, are found in the nucleus.
What is the name of a neutron?Given that it is a compound particle consisting of quarks, the neutron is categorized as a hadron. Due to the fact that the neutron is made up of three valence quarks, it is also categorized as a baryon. The neutron's magnetic moment and finite size both point to it being a composite particle as opposed to an elementary one.
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n and k are positive integers. When n is divided by 23, the quotient is 2k and the remainder is j. What is the value of j + k?(1) When n is divided by 15, the quotient is 3k and the remainder is 5j(2) When n is divided by 9, the quotient is 5k and the remainder is 5j
The value of j + k where n and k are positive integers and j is the remainder is 46/225.
Statement 1: When n is divided by 15, the quotient is 3k and the remainder is 5jFrom this statement we know that n = 15(3k) + 5j,
Statement 2: When n is divided by 9, the quotient is 5k and the remainder is 5j.From this statement we know that n = 9(5k) + 5j,
We know that 23 and 15 have a common factor of 1, so we can use statement 1 to find the value of j+k:
n = 15(3k) + 5j
n = 23(2k) + j
From these two equations, we know that -
15(3k) = 23(2k) + j
solving we get,
225k = 46k + j
j+k = 46k/225k = 46/225
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Determine v₁ and v₂ in the circuit102 Ω 3 A V1 10 Ω 10 V 20 Ω 51%
The value of v₁ and v₂ is 10V and -10V respectively. This is because of Kirchoff's law. The potential is distributed in the gap and node and the potential is distributed.
The potential difference (which is the same as voltage) is equal to the amount of current multiplied by the resistance. A potential difference of one Volt is equal to one Joule of energy being used by one Coulomb of charge when it flows between two points in a circuit. **Ammeters: **An ammeter measures the flow of current that passes through it. the potential of any cell or battery is the difference between the positive and negative terminal through the terminal difference. by this primary information, we can firmly conclude that the value of v₁ and v₂ is 10V and -10V respectively. This is because of Kirchoff's law. The potential is distributed in the gap and node and the potential is distributed.
Determine v₁ and v₂ in the circuit
A. 3 ohm
B. 10 ohm
C. -10 ohm
D. 20 ohm
E. 2 ohm
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t what speed does a 2000 kg compact car have the same kinetic energy as a 16000 kg truck going 24 km/hr
At speed v = 18.86 m/s = 67.8 km/h a compact car have the same kinetic energy as a truck.
What are some instances of kinetic energy?The energy of motion, or kinetic energy, can be observed in the motion of an object or a subatomic particle. There is kinetic energy in every particle every moving thing. A human walking, a baseball soaring through the air, food falling from a table, and a charged particle in an electric field are all instances of kinetic energy in motion.
Given in the question,
mass of car = 2000kg
mass of truck = 16000kg
speed of truck, vt = 24 km/h = 6.67 m/s
by using Kinetic energy equation for truck,
K = 1/2 mvt²
K = 1/2 ×16000×(6.67)²
K = 355911.2 J
since the kinetic energy is same for car and the truck
Kcar = Ktruck
1/2 mv² = 355911.2
v² = 355911.2/ 1000
v = √355.9112
v = 18.86 m/s = 67.8 km/h
At speed v = 18.86 m/s = 67.8 km/h a compact car have the same kinetic energy as a truck.
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9. you're standing in a large room when a loud noise is made and you hear a series of echoes. which characteristic of sound best explains what just happened? a. diffraction b. diffusion c. reverberation d. focusing
Option (c) reverberation is the best choice. Reverberation can be decreased by utilizing materials that absorb sound before it reaches the room's walls and ceiling, preventing the sound from being reflected.
What is reverberation?Reverberation is the characteristic of sound that best explains what just happened in this scenario. Reverberation occurs when sound waves are reflected off of surfaces in a room, creating multiple echoes that can be heard. When a loud noise is made in a large room, the sound waves will reflect off of the walls, floor, and ceiling, creating a series of echoes that can be heard. This is known as reverberation.
Which is better, reverberation or echo?Both open and closed places can produce echoes. In tight environments with many reflecting items, reverberation occurs. The distance of the item can be determined using the echos. Reverberation cannot estimate the distance of a reflecting object because the travel time is too brief.
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what is quietest? ball bearing roller is smoother and quieter quiests silent frictionless pockect door rollers top hung
Ball bearing roller is considered a better option for the pocket doors as compared to the top hung rollers due to reason of friction.
What is friction?Friction is the force defying the relative side(tangential) motion of solid surfaces, fluid layers, or material elements in contact. It's generally subdivided into several kinds. Friction isn't a fundamental force, as it's deduced from electromagnetic force between charged particles, including electrons, protons, atoms, and molecules.
A ball bearing roller is generally considered to be the quietest type of roller for pocket doors. This is because the ball bearings in the roller allow for smooth, low-friction movement, which reduces noise and wear on the door and track. Frictionless or silent pocket door rollers, such as those using a track with a recirculating ball bearing, would also be very quiet. Top hung rollers also have the advantage of not having any contact with the floor and less noise.
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a soft tennis ball is dropped onto a hard floor from a height of 1.50 m and rebounds to a height of 1.00 m. (assume that the positive direction is upward.) (a) calculate its velocity (in m/s) just before it strikes the floor.
Its velocity (in m/s) just before it strikes the floor is - 5.42 m/s.
The displacement that an object or particle experiences with respect to time is expressed vectorially as velocity. The meter per second (m/s) is the accepted unit of velocity magnitude (also known as speed). Alternately, the magnitude of velocity can be expressed in centimeters per second (cm/s).
Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.
Given,
height = 1.50m
rebound height = 1.00m
Using the equation of motion,
v² = u² - 2as
⇒ v = - √(u² + 2(-9.81 m/s² × - 1.50m))
⇒v = - 5.42 m/s
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a gun with a muzzle velocity of is fired at an angle of above the horizontal. find the horizontal and vertical components of the velocity.
The horizontal and vertical is 1188.321ft/sec and the velocity is g =32.174 = 32.174t.
What direction is horizontal?Horizontal pertains to everything that is perpendicular to the horizon. Anything that forms a 90-degree angle (right triangle) with the straight or the horizon is referred to as vertical because it is the opposite of the horizontal. The line that spans from left to right is therefore considered to be horizontal.
horizontal velocity = Vcos the
= 1200*cos 8
after time t, horizontal velocity = 1200cos8 ft/sec (it is constant) = 1188.321ft/sec
vertical velocity = V sin theta
= 1200*sin8
vertical velocity v= 1200sin8-gt = 167-32.174t ft/sec (till t = 5.19sec)
g =32.174 = 32.174t ft/sec (after t = 5.19sec)
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bonus: an airplane traveling northeast at a speed of 25 m/s increases its speed to 30 m/s in 10 seconds. what is the airplane's acceleration?
An aeroplane travelling northeast at 25 m/s increases its speed to 30 m/s in 10 seconds. The aeroplane accelerates at 0.5 m/s².
a=v-u/t
a= 30-25/10
a= 5/10
a= 0.5 m/s²
Speed is defined as the ratio of distance travelled to time spent travelling. Because it has only one direction and no magnitude, speed is a scalar quantity.
The most important concept in science is measurement. Many measurable quantities are expressed in base or physical fundamental units. One such measurable quantity is speed, which is defined as the ratio of the distance travelled by an object to the time required to travel that distance. Let us learn about speed in depth in this session.
When an object travels the same distance in equal time intervals, it is said to be moving at a uniform speed. When an object travels a different distance at equal intervals, it is said to be moving at a variable speed.
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all the planets revolve around the sun in a(n) direction a. clockwise b. counterclockwise c. northerly d. southerly e. all the above
In the solar system the planets are revolving about the sun and rotation about their axes in a counterclockwise direction and revolving from west to east. Hence option 'b' is correct.
Rotation? What do you mean?The circular movement of an object about its center is referred to as rotation. Things can rotate in a variety of ways. the Earth's rotation. When a round, three-dimensional object rotates around in an invisible line inside of its center, it is a relatively common type of rotation.
What do the Earth's rotation and revolution mean?The term "rotation" describes how an object spins around its own axis. When an object is in revolution, it is moving in an orbit around another object. For instance, the 24-hour day is created as the Earth moves on its own axis. The 365-day year results from the Earth's rotation around the Sun.
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a toy cannon uses a spring to project a 5.20-g soft rubber ball. the spring is originally compressed by 4.90 cm and has a force constant of 7.97 n/m. when the cannon is fired, the ball moves 14.7 cm through the horizontal barrel of the cannon, and the barrel exerts a constant friction force of 0.031 5 n on the ball. (a) with what speed does the projectile leave the barrel of the cannon?
The speed of the projectile leaving the barrel of the cannon can be calculated using the equation:v = √(2Fx/m),where F is the force applied to the projectile, x is the distance the projectile travels, and m is the mass of the projectile.Plugging in the given values we get:v = √(2*(7.97N/m)*(4.9cm) / (5.20g)),v = 15.5 m/s
What is the force ?Force is an influence that causes an object to change its momentum, either by changing its speed, direction, or both. It is one of the fundamental concepts in physics and is usually described as a push or pull. It can be described mathematically as a vector, and it can be measured in newtons (N). Forces are a result of interactions between two objects, and they can be contact forces, such as friction, or non-contact forces, like gravity. Forces can also be generated internally, such as when a muscle contracts. Forces can cause objects to accelerate, decelerate, bend, or change shape.
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a bulldozer pushes a boulder with a force of 18,000 n over a distance of 53 m, in a time of 60 s. how much work is done by the bulldozer?
The bulldozer's work done is measured in joules is 954000J, since it is capable of moving a boulder 53 metres with 18,000 newtons of force in just 60 seconds. Force and motion must coexist.
Applied to the body as well as to how the body moves. Consider a block that has been placed on a flat, frictionless surface. This block is affected by a constant force F. The body is moved by this force across a distance of d in a straight line and in the force's direction. In physics, a force is an effect that has the ability to change how an object moves. Due to a force, a massed object may change.
Work done = Force*cos(theta)*d = Force*d = 18,000*53 = 954000J
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A police officer recorded the speeds of 100 cars in a 50-mile-per-hour zone. The results are in the box plot shown. How many cars were going between 40 and 48 miles per hour?32 20 2516
The 25 cars (C) represent those traveling between 40 and 48 miles per hour.
A box plot or boxplot is a visual representation of the location, dispersion, and skewness groups of quartiles of numerical data. These are employed when displaying the distribution of data points across a chosen metric. These graphs show the ranges of the measured variables.
A box plot displays 25% of the data in each section. In this range, 25% of the data is displayed. Therefore, 100 individuals are included for each component. In order to determine the number of cars present between the 40 and 48 box plot, we will multiply 100 by 25%, which is 25 cars.
Thus Option C is the right choice.
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How many electrons have been removed from a positively charged cube if it has a net charge of 7.5 x 10^-11 C
Answer:
Explanation:
The net charge of an object is equal to the number of electrons removed or added multiplied by the charge of an electron (1.6 x 10^-19 C).
Given: Q = 7.5 x 10^-11 C
To find the number of electrons removed we can use the formula :
Q = n * e
where Q is the charge, n is the number of electrons, and e is the charge of an electron
n = Q/e
Therefore, n = 7.5 x 10^-11 C / 1.6 x 10^-19 C = 4.6875 x 10^8 electrons
So, 4.6875 x 10^8 electrons have been removed from a positively charged cube with a net charge of 7.5 x 10^-11 C
mercury has a specific gravity of 13.6. how many milliliters of mercury have a mass of 0.35 kg? a. 0.0257 ml b. 0.026 ml c. 25.7 ml d. 26 ml e. 4760 ml
26 ml. of mercury have a mass of 0.35 kg. So option d is correct.
To find the volume of the mercury, we can use the relationship between mass, density, and volume, which is:
mass = density x volume
The density of mercury is 13.6g/cm^3 and its mass is 0.35 kg
so, we can rearrange the formula to:
volume = mass/density
To convert the volume to milliliters we can use the conversion factor 1cm^3 = 1 ml
So,
volume = (0.35 kg) / (13.6 g/cm^3) = (350000 g) / (13.6 g/cm^3) = 25714.28 cm^3 and since 1 cm^3 = 1ml
volume = 25714.28 ml
Thus, 26 ml. of mercury have a mass of 0.35 kg. So option d is correct.
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Echolocation is a form of sensory perception used by
most bats, toothed whales and porpoises, as well as a
few birds. The animal emits a pulse of sound which
is reflected from objects; the reflected pulse is then
detected by the animal to learn about its environ-
ment or interact with other animals. Echolocation • waves emitted by whales have frequencies of about 200,000Hz. (a) What is the wavelength of the whale's echolocation wave? (b) If an obstacle is 100m from the whale, how long after the whale emits a wave will the reflected wave return to him?
Answer:
(a) What is the wavelength of the whale's echolocation wave?
A man draws a cart of mass 100 kg at a steady rate of 10 m/s on a level road. The tension in the coupling is 100 N. Calculate the power spent on the cart. kw
The power spent on the cart is 1000kw
What is power?The quantity of energy moved or converted per unit of time is known as power in physics. The watt, or one joule per second, is the unit of power in the International System of Units. Power is also referred to as activity in ancient writings. A scalar quantity is power.
Power is related to other factors; for instance, the power required to move a ground vehicle is equal to the product of the vehicle's velocity, traction force on its wheels, and aerodynamic drag. A motor's output power is calculated by multiplying its torque output by the angular velocity of its output shaft.
How to calculate the power spent on the cart?A man draws a cart of mass 100 kg
steady rate of 10 m/s
tension in the coupling is 100 N
Calculate power spent on the cart=P*V
P = FV , Where P = power, F = Force, V = velocity.
power spent on the cart= P*V
=100*10=1000kw
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A 57g tennis ball is served at 45m/s .
If the ball started from rest, what impulse was applied to the ball by the racket?
Express your answer using two significant figures.
The impulse is 2565 gm/s or Ns ( Newton seconds) rounded to two significant figures.
What do you mean by impulse?
Impulse is a measure of the change in momentum of an object, and it is given by the product of force and time for which the force is applied. Mathematically, impulse is represented as the integral of force with respect to time. The impulse-momentum theorem states that the impulse applied to an object is equal to the change in momentum of the object.
The impulse applied to the ball by the racket can be calculated using the impulse-momentum theorem, which states that the impulse applied to an object is equal to the change in momentum of the object. The impulse is equal to the force multiplied by the time for which the force is applied.
Impulse = change in momentum = final momentum - initial momentum
The final momentum of the ball is 57g * 45m/s (mass * velocity)
The initial momentum is 0 (since the ball starts from rest)
Therefore,
Impulse = 57g * 45m/s - 0
The impulse is 2565 gm/s or Ns ( Newton seconds) rounded to two significant figures.
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when helping a friend move into a new home, you push a chair across the room. what do you know about the force of friction applied to the chair by the floor?
If the velocity of the chair is constant, then the net force reserve on it is zero. The force you apply to keep it going is equal and opposite to the force of friction.
friction, force that oppose the sliding or rolling of one solid object over another. Frictional forces, such as the grip needed to walk without slipping, may be favorable, but they also present a great compute of opposition to motion.
About 20 percent of the engine power of automobiles is inject in overcoming frictional forces in the moving parts.
The major cause of friction between metals emerges to be the forces of attraction, known as adhesion, between the contact section of the surfaces, which are always microscopically uneven.
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Determine the correct sequence of trials.Add HCl to water and measure pH Add HCl to buffers and measure pH Add NaOH to water and measure pH Make assigned buffer(s) Add NaOH to buffers and measure pH
Dilute the unknown until its absorbance is inside the standard curve. The full strength concentration can be calculated after identifying the diluted quantity if the dilution process is documented.
High concentration is what?A chemical that is present in large quantities relative to the volume is said to have a high concentration in a solution. For example, the Great Salt Lake contains very few fish due to the high concentration of salt.
What is an example of concentration?You can determine how much solute has been dissolved in the solvent by looking at the concentration of the solution. For instance, the concentration may be stated as 1 teaspoon of salt per 2 cups of water if you add 1 teaspoon to 2 cups of water.
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13 when dew forms on outdoor objects, can it be assumed that the atmosphere is saturated? if so, why is there often no fog accompanying the dew?
Dweep point. An significant factor in drying is the dew point. The dew temperature is the point at which a continuous volume of air contains water vapor.
What connection should the dew point go through atmospheric saturation?In order for air to become soaked without affecting its pressure, it must be chilled to below the dew point. The vapor pressure is affected by changes in pressure, and thus, so is the temperature during which saturation takes place.
Does dew require saturated air to form?Dew, fog, and clouds—the prelude to rain, snow, sleet, and hail—are the byproducts of condensation, the process by which water vapor is changed into a liquid. Two prerequisites must be satisfied before condensation may take place. 35.
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there is a cerain grsavitatiounal orce between a pplanet and its moon. by doubling the mass and radious what happens to its force
By doubling the mass and the radius, the force of gravitation would also be doubled as it is directly proportional to the mass of the interacting objects.
The more massive object will pull the other body with a stronger gravitational pull since the force of gravity is exactly proportional to the masses of the two interacting bodies. Therefore, when two things' respective masses increase, so does their gravitational pull to one another. The gravitational pull between any two objects is equal to the product of their individual masses. Hence, if the mass is doubled, the gravitational force will also get doubled.
According to the Newton's law of universal gravitation, force of gravitation is directly proportional to the masses of the two interacting bodies while it is inversely proportional the the square of the distance between them. Putting 'G' as the proportionality constant, we get that
F = Gm1m2 / r²
where, m1 and m2 are the masses of the two bodies, and r is the distance between them.
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A 1.80-m-long barbell has a 22.0 kg weight on its left end and a 32.0 kg weight on its right end. where is the center of gravity if the 9.00 kg mass of the barbell itself is taken into account?
The center of gravity for the barbell is located 1.46 m to the right of the left end weight.
How is the center of gravity calculated for an object with multiple weights on it?The center of gravity for an object with multiple weights on it is calculated by taking the sum of the weights multiplied by their respective distances from a reference point, and dividing by the total weight of the object. The reference point is typically the center of the object, or a point where the object is supported. In the case of the barbell, the reference point would be the center of the barbell, and the distance would be measured from the center of the barbell to the center of the weights. The center of gravity is the point where the weight of the object is balanced and where the object would rotate if suspended from that point.
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which of the following best respresents R= A - B?
PLEASE I NEED HELP ON THIS!!
Answer:
the right side one
Explanation:
a+b will go left
a basketball player jumps straight up for a ball. to do this, he lowers his body 0.300 m and then accelerates through this distance by forcefully straightening his legs. this player leaves the floor with a vertical velocity sufficient to carry him 0.900 m above the floor. (a) calculate his velocity when he leaves the floor.
The velocity of the basketball player when he leaves the floor is 3.33 m/s.
How does the player's vertical velocity relate to the height he reaches while jumping?The player's vertical velocity is directly related to the height he reaches while jumping. The greater the player's vertical velocity, the higher he will be able to jump. In this case, the player's vertical velocity is sufficient to carry him 0.900 m above the floor. Without this velocity, he would not be able to reach this height. Additionally, the initial velocity is dependent on the potential energy converted to kinetic energy and the distance to cover during the movement.
How do you calculate his velocity when he leaves the floor?The following kinematic equation can be used to determine the basketball player's velocity:
v^2 = u^2 + 2as
v = √(2as) (2as)
The force and mass of the player can be used to compute the acceleration.
Assuming that the player advances vertically 0.300 m, the force is the force the player applies to the ground.
F=m x a and a=F/m
Task, W = F x d
The change in kinetic energy is equivalent to the work completed.
W = Fd = ma x d = 1/2 x m x v2 W = 1/2 x m x v2 W = a = 2 x W / m x d = 2 x v2 / d
Changing the value of an in the previous equation:
v = √(2 x 0.900 m x v^2 / 0.300 m)
v = √(6 x v^2)
v = √(6) (6) x v
v = 3.33 m/s
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What is the reaction energy Q of this reaction? Use c2=931.5MeV/u.
The reaction energy Q of the reaction is 195 MeV.
₉₂U²³⁵ + ₀n¹ → ₅₄Xe¹⁴⁰ + ₃₈Sr⁹⁴ + 2 ₀n¹
Mass of reactants = 235.04393 + 1.008665 = 236.052595 amu
Mass of products = 139.92144 + 93.91523 + 2* (1.008665) = 235.854000 amu
Mass defect Δ m = 236.052595 - 235.854000 = 0.198 amu
Reaction energy released Q = Δ m * 931.5
= 0.198 * 931.5 = 185 MeV
What is the reaction energy?
The overall reaction energy also referred to as enthalpy, is expressed as the change in energy between the products and the reactants via subtraction. If the reactant energy is higher than the products, then the overall energy will be negative, resulting in an exothermic reaction.
What is the reaction formula?
A chemical reaction equation gives the reactants and products, and a balanced chemical reaction equation shows the mole relationships of reactants and products. Often, the amount of energy involved in the reaction is given.
Thus, reaction energy Q is 185 MeV.
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A proton with an initial speed of 900,000 m/s is brought to rest by an electric field.
What was the potential difference that stopped the proton?
Express your answer to two significant figures and include the appropriate units.
What was the initial kinetic energy of the proton, in electron volts?
Express your answer using two significant figures.
The potential difference that stopped the proton is 8.75 × 10²⁴ V.
The kinetic energy of the proton is 2.25 × 10⁻¹³ J or 1.4 × 10⁶ eV.
What is potential difference?The potential difference that stopped the proton can be found using the equation: work done = qV = kinetic energy lost, where q is the charge of the proton (1.6 x 10⁻¹⁹ C), V is the potential difference, and kinetic energy lost is the initial kinetic energy of the proton.
Since the proton is brought to rest, the final kinetic energy is 0, so the initial kinetic energy can be found by:
kinetic energy = 1/2 × m × v²
where m is the mass of the proton (1.67 x 10⁻²⁷ kg) and v is the initial speed of the proton (900,000 m/s), the kinetic energy of the proton is 2.25 × 10⁻¹³ J or 1.4 × 10⁶ eV.
The potential difference can be found by:
V = kinetic energy lost / qV = 1.4 × 10⁶ eV / 1.6 × 10⁻¹⁹ C V = 8.75×10²⁴ V.
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The gravitational force between two objects is proportional to?
Answer:
it is proportional to masses of two objects
An electromagnetic wave in a vacuum traveling in the +x direction generated by a variable source initially has a wavelength λ of 235 μm and a maximum electric field Emax in the +y direction of 4.40×10−3 V/m . If the period of the wave is then increased by a factor of 2.30, what is the equation of the resulting magnetic field component of the wave?
What are the coefficients in the equation for the magnetic field component of the wave after the period increases by a factor of 2.30?
want: Bmax, k, w
I continue to get "You have used the initial period to calculate the final wavenumber. Keep in mind that the period has been increased."
the solutions I have are:
Bmax= 14.667*10^-12
k= 26737
w= 3.487*10^12
An electromagnetic wave in a vacuum consists of oscillating electric and magnetic fields that are perpendicular to each other and to the direction of wave propagation. The equations for the electric and magnetic fields of an electromagnetic wave can be written in the form:
E = E0 cos(kx - wt) and B = B0 cos(kx - wt)
Where E0 and B0 are the amplitudes of the electric and magnetic fields, respectively, k is the wave number, x is the position, t is the time, and w is the angular frequency.
The wave number k is related to the wavelength λ and the angular frequency w is related to the period T by the following equations:
k = 2π/λ and w = 2π/T
Given that the wavelength of the wave is 235 μm and the period is T = 2.3 * (1/500 s) = 4.6 x 10^-4 s
The wave number k is:
k = 2π/λ = 2π/235 x 10^-6 m = 8.57 x 10^7 rad/m
The angular frequency w is:
w = 2π/T = 2π/(4.6 x 10^-4 s) = 1369.6 rad/s
The equation for the electric field component of the wave is given as:
E = E0 cos(kx - wt) = 4.40 x 10^-3 V/m cos(8.57 x 10^7 x - 1369.6 t)
The equation for the magnetic field component of the wave is given as:
B = B0 cos(kx - wt) = B0 cos(8.57 x 10^7 x - 1369.6 t)
The coefficient for the magnetic field component of the wave is B0, which is not specified in the question, it can be determined by using the relationship between the Electric field, Magnetic field and the speed of light.
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a student drops a rock off of a bridge. the final velocity of the rock just before it hits the water below is -8.0 m/s. what is the height of the bridge? assume negligible air resistance
A pupil throws a rock down a bridge. The rock's final speed shortly before it lands in the sea following is a brief -8.0 m/s. How tall is the bridge? vf=24.2487113m/s
What metaphorical significance does a bridge have?Whether it connects both worlds or two different realms, the bridge is fundamentally a symbol of communication and togetherness. It can be viewed as the link between God because of this. It can be the gateway to reality or just a metaphor for movement and crossing.
Calculation
vi=0, x=30, a=9.8, t=?, vf=?
x=vi*t+.5*a*t^2
30=.5*9.8*t^2
30=4.9*t^2
t=2.4743583s
vf=vi+a*t
vf=0+9.8*2.4743583
vf=24.2487113m/s
Then change it to negative because you are going down.
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