Taking into account the definition of kinetic energy, the kinetic energy of a 23.2 g object moving at a speed of 81.9 km/hr is 6.004 J.
Kinetic energyKinetic energy is a form of energy. It is defined as the energy associated with bodies that are in motion and this energy depends on the mass and speed of the body.
This is, kinetic energy is defined as the amount of work necessary to accelerate a body of a certain mass and in a position of rest, until it reaches a certain speed. Once this point is reached, the amount of accumulated kinetic energy will remain the same unless there is a change in speed or the body returns to its state of rest by applying a force.
Kinetic energy is represented by the following formula:
Ec = ½ mv²
Where:
Ec is kinetic energy, which is measured in Joules (J).m is mass measured in kilograms (kg). v is velocity measured in meters over seconds (m/s).Kinetic energy in this caseIn this case, you know:
Ec= ?m= 23.2 g= 0.0232 kg (being 1 g= 0.001 kg)v= 81.9 km/h= 22.75 m/s (being 1 km/h= 0.277778 m/s)Replacing in the definition of kinetic energy:
Ec = ½ 0.0232 g×(22.75 m/s)²
Solving:
Ec= 6.004 J
Finally, the kinetic energy of a 23.2 g object moving at a speed of 81.9 km/hr is 6.004 J.
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Suppose the ski patrol lowers a rescue sled and victim, having a total mass of 90.0 kg, down a p slope at constant speed, as shown below. The coefficient of friction between the sled and the snow is 0.100. (a) How much work is done by friction as the sled moves 30.0 m along the hill
The work done by friction to move the sled is - 1,323 J.
What is Coefficient of friction?The friction coefficient is the ratio of the normal force pressing two surfaces together to the frictional force preventing motion between them.Typically, it is represented by the Greek letter µ. In terms of math, is equal to F/N, where F stands for frictional force and N for normal force.The coefficient of friction has no dimensions because both F and N are measured in units of force (such as newtons or pounds). For both static and kinetic friction, the coefficient of friction has a range of values.When an object experiences static friction, the frictional force resists any applied force, causing the object to stay at rest until the static frictional force is removed. The frictional force opposes an object's motion in kinetic friction.Solution:
Given that
Coefficient of friction (µ) = 0.10
Mass (m) = 90kg
distance covered (d) = 30m
We use the formula:
friction work = -µmgdcos∅
friction work = -0.100 × 90 kg × 9.8 m/s² × 30 m × cos 60°
friction work = - 1,323 J
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Magnetic field lines point _____ north poles and _____ south poles
Magnetic field lines point leave north poles and enter south poles.
What are Magnetic field lines?This is referred to as the direction that a small compass points when placed at a location.
They are closed curves which runs from the north pole and enters the south pole thereby making it the most appropriate choice.
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A 4 kg toy car moves horizontally on a rough road with coefficient of kinetic friction 0.2. It accelerates from rest to 20 m/s in 10 s. Find (a) the total work done on the car
The total work done on the car is 784Joule.
What's the acceleration of the car?As per Newton's equation of motion, V= U+atU= initial velocity= 0 m/sV= vinal velocity= 20m/s
t= time = 10s
a= acceleration
So, 20= 0+ 10a=> a= 20/10= 2m/s²
What's the distance covered by the car in 10 seconds?As per Newton's equation of motion,V²-U² = 2aS
S= distance covered by the carSo, 20²-0=2×2×S=4S=> 400= 4S
=> S= 400/4= 100m
What's the work done on the car due to frictional force?Work done by frictional force= frictional force × distance
= (0.2×4×9.8)×100
= 784Joule
Thus, we can conclude that the work done on the car is 784Joule.
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what's an electric field ?
Answer:
Electric field is defined as the electric force per unit charge. Light, X- rays, radio waves, microwaves etc. contains electric field component's in it.
Explanation:
Answered by :
[tex] \pink{ \star} \pmb{ \text{ \pink{seolleaphrodite }}} \pink\star[/tex]
Answer:
a region around a charged particle or object within which a force would be exerted on other charged particles or objects.
iron mining in south africa
Answer:
In 2021, South Africa's production of iron ore amounted to an estimated 61 million metric tons. South Africa is one of the world's largest producers of iron ore. As of 2021, South Africa was the ninth-largest iron ore producing country in the world.Frank and Lisa are analyzing the chart, which shows the speed at which light travels through different media.
Frank is correct because light travels through diamond at the slowest speed, and speed and frequency have an inverse relationship .
Lisa is correct because light travels through air at the fastest speed of ,and speed and frequency have a direct relationship .
Neither Frank nor Lisa is correct because light does not change frequency when it travels through different media .
Both Frank and Lisa are correct because light has both inverse and a direct relationship with frequency ,depending on the type of media .
Neither of the two is correct because light does not change frequency when it travels through different media .
Disclaimer :The question given on the portal is incomplete .Here is the complete question .
Question :Frank and Lisa are analyzing the chart, which shows the speed at which light travels through different media. Frank says that light travels through diamond with the greatest frequency. Lisa says that light travels through air with the greatest frequency. Which best describes the accuracy of these statements?
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A battery delivering a current of 55.0 A to a circuit has a terminal voltage of 22.4 V. The electric power being dissipated by the internal resistance of the battery is 37 W. Find the emf of the battery.
The emf of the battery is 23.071 V.
What is emf?
The emf (electromotive force) is defined as the original potential applied across a circuit when there is no internal resistance.
The emf is given by the formula,
E=V+I*r
where E is the emf of the battery, V is the potential applied across the circuit, I is the current through the circuit and r is the internal resistance of the battery.
What is power?
The power is the product of the square of the current and the resistance. The formula of the power P for the internal resistance r is,
P=I^(2)*r
Given I=55.0 A and P=37 W, substitute I=55.0 A and P=37 W in the above formula and solve it to calculate r.
37 = (55.0)^2*r
r=37/ (55.0)^2
r=0.0122 ohm
Given V=22.4 V, substitute I=55.0 A, r=0.0122 ohm, and V=22.4 V in the formula of emf to calculate the value of emf.
E=22.4+(55.0)*(0.0122)
E=23.071 V
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The Earth's escape speed (the speed you need to get away forever) is about 40,000 kilometers per hour. Escape speed depends on the gravity of the object trying to hold the spacecraft from escaping. Based on your understanding of gravity, how will the escape speed from the Moon compare to the escape speed from Earth
The Moon s escape speed will be smaller than Earth's.
What is escape speed:The minimum speed that is required for an object to free itself from the gravitational force exerted by a massive object.
The formula of escape speed is
[tex]v = \sqrt{\frac{2GM}{R} }[/tex]where
v is escape velocity
G is universal gravitational constant
M is mass of the body to be escaped from
r is distance from the center of the mass
we can say that,
Escape speed depends on the gravity of the object trying to hold the spacecraft from escaping.
we know that,
The Moon's surface gravity is about 1/6th as powerful or about 1.6 meters per second per second.
since, v ∝ g
The Moon s escape speed will be smaller than Earth's.
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Need help asap
When heated in a flame, each element emits light that is unique to that
element. This light can be separated with a diffraction grating. Which of the
options below best explains why emission spectra occur?
A. When excited electrons return to their ground state, they emit
photons with specific wavelengths.
B. When electrons absorb energy to go into excited states, they
absorb all but the light that corresponds to the spectral lines.
C. When the elements are exposed to the flame, they undergo ad
chemical reaction that releases the specific lines of colored light.
D. When the elements are exposed to the flame, they undergo a
phase change, and the colors seen represent the element's color in
the gas phase.
A projectile is fired in such a way that its horizontal range is equal to three times its maximum height. What is the angle of projection
The angle of projection is θ = 53°
What is the angle of projection?The angle between the initial velocity of a body from a horizontal plane through which the body is thrown, is known as angle of projection.Motion in A Plane. Show that there are two angles of projection for which horizontal range is the same. Thus horizontal range is the same for angle of projection θ and α = 90°–θ.The maximum height achieved by a projectile ignoring the air resistance is given by HM=U2Sin2 θ 2g.where U is the initial velocity, θ is the angle of projection and g is the acceleration due to gravity.
R = 3H
R = v²sin2θ/g = 2v²sinθcosθ/2 = 3v²sin²θ/2g
tan θ = 4/3
θ = 53°
So, the angle of projection is θ = 53°
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The mississippi river delta is one in which the primary source of local current energy is ____.
Answer:potential energy
Explanation:
Place the charge q= 2.10-5c at the origin o of the oxy-axis system. consider two points a(6;0) and b(3;4) on the axes with unit of measurement in cm. choose the potential origin at infinity. calculate the work done by the electric field when moving the charge q=-1uc from a to b
The work done by the electric field when moving the charge from a to b is 0.0378 J.
Distance between a and b
r = √[(a₂ - a₁)² + (b₂ - b₁)²]
r = √[(3 - 6)² + (4 - 0)²]
r = 5 m
Work done in moving the chargeW = Fr
W = kq₁q₂/r
W = (9 x 10⁹ x 2.1 x 10⁻⁵ x 1 x 10⁻⁶)/(5)
W = 0.0378 J
Thus, the work done by the electric field when moving the charge from a to b is 0.0378 J.
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If p(a)=0.07692, p(b)=0.25, and probability of a and b. =0.01923, what is probability of a or b. to four decimal places? select one.
Answer:
p(a) * p(b) = .01923
p(b) = .01923 / .07692 = .2500
The probability of a or b will be equal to 0.30769.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The probability of the total sample points in A U B is P(A U B). The probabilities of sample points in A and B are now added together as P(A) + P(B). To get the total of probabilities in (A U B), which is P, we need to subtract once because we added the sample points in (A B) twice (A U B).
Given that p(a)=0.07692, p(b)=0.25, and probability of a and b. =0.01923. The probability will be calculated by using the formula below:-
P(A) = 0.07692
P(B)=0.25
P(A[tex]\cap[/tex]B) = 0.01923
P(AUB) = P(A) + P(B) - P(A[tex]\cap[/tex]B)
P(AUB) = 0.07692 + 0.25 - 0.01923
P(AUB) = 0.30769
Therefore, the probability of a or b will be equal to 0.30769.
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The figure in Figure 1 shows two single-slit diffraction patterns. The distance between the slit and the viewing screen is the same in both cases. Which of the following could be true
Answer:
"The wavelengths are the same for both. The width of slit 1 is larger than the width of slit 2."
Explanation:
The full question has not been provided, so I just copied this into the web and found this answer and explanation on quizlet:
"The wavelengths are the same for both. The width of slit 1 is larger than the width of slit 2.
D sin θ = m λ
if the wavelengths are the same, then if the angle is smaller, the slit width must be larger. The top photo shows a pattern that is more closely spaced. That means the angle is smaller. The slit width must be larger."
This answer/explanation should be correct, as we are looking at bright fringes and the formula being used corresponds to the parameters of the question.
Hope this helps!
A 1500 pound car is stopped in traffic on a hill that is at an incline of 10. Determine the force that is required to keep the car from rolling down the hill.
A 1500 pound car is stopped in traffic on a hill that is at an incline of 10. The force that is required to keep the car from rolling down the hill will be 1133.53 N.
When all the forces that act upon an object are balanced, then the object is said to be in equilibrium motion. The forces are considered to be balanced if the rightward forces are balanced by the leftward forces and the upward forces are balanced by the downward forces.
It can be observed from the diagram that in order resist the car to rolling down the hill we need to apply an equal and opposite force against the inclined force( that is mgsin(x)) to form an equilibrium position because rolling is associated with horizontal forces hence we need to apply force against the force which can drive down the car .
mass = 1500 pound = 680.39 kg
sin(10) = 0.17
F (counter force ) = m*g*sin(x)
= 680.39 * 9.8 * 0.17
= 1133.53 N
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For elevator questions, does the weight of a person increase when the elevator is going up or if it's going down-
The weight of a person increase when the elevator is going up.
Weight of the person in the elevator
The weight of the person in the elevator is calculated as follows;
When the person is going upF = ma + mg
F = m(a + g)
where;
a is acceleration of the persong is acceleration due to gravityWhen the person is going downF = mg - ma
F = m(g - a)
Thus, the weight of a person increase when the elevator is going up.
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One similarity in the spectra of T dwarf stars and giant planets in our solar system is that their spectra show:
One similarity in the spectra of T dwarf stars and giant planets in our solar system is that their spectra show: "Indications of methane"
What is solar system?The solar system is made up of planets, moon, asteroids, comets, dust, and gas that revolve around the sun, which is our nearest star.
It consists of the giant planets Jupiter and Saturn, the ice giant Uranus and Neptune, and the rocky core planets Mercury, Venus, Earth, and Mars.
Some key points of solar system are-
The solar nebula, a massive cloud of gas and dust, began to collapse in on itself some some 4.6 billion years ago, forming the solar system's star and planets. Scientists have used meteorites, or bits of space rock which have fallen on Earth, to determine the age of the universe. Some of these tiny fragments, which have fallen off of planets or moons, can provide intriguing scientific data regarding the makeup and past of their parent body. Since the beginning of the solar system, before the planet even existed, others have been orbiting the sun. The oldest meteorite is 4.55 billion years old and came to Earth in the Allende meteor, which was dispersed over Mexico in 1969.To know more about Our Solar System, here
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An electron moving through an electric field is observed to have an acceleration of 1.20 1016 m/s2 in the x direction. What is the magnitude and the direction of the electric field that produces this acceleration
The magnitude is 5.69 × 10^4 N/C and the direction is opposite to the acceleration of electron.
Equation of force on a charge is -
F = ma
→ qE = ma
The acceleration of an electron is 1.201016 m/s².
→ E = ma/q
plug in the values
E = 9.11 × 10^-31 kg × 1×10^16 m/s² i / -1.6 × 10^-19 C
E = 5.69 × 10^4 N/C (-i)
so, magnitude is 5.69 × 10^4 N/C and field is along negative x-axis
Thus, it has opposite direction to the acceleration of electron.
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Which of the following areas takes visual information from one side of the body and conveys it to the opposite side
The optic chiasm is the point where the optic nerves cross the midline, allowing the opposite side of the brain to process sensory data from one side of the body.
What is the optic chiasm and where is it located?Since the optic nerves cross in the optic chiasm, also known as the optic chiasma, it plays a crucial role in the visual pathway. Within the suprasellar cistern, it is situated 10 mm above the pituitary gland and 10 mm beneath the hypothalamus near the base of the brain.
The optic chiasm's function is to make sure that visual impulses reach both hemispheres of the brain. The thalamus receives and processes the majority of brain impulses, which are then transmitted to various parts of the occipital lobe. Half of each divided optic nerve's fibers travel to the opposing side. Due to the anatomical configuration, injury to the optic nerve system results in particular patterns of vision loss.
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A 6.0 mH inductor is in a circuit. At the instant the current is 5.0 A and its rate of change is 200 A/s, the rate with which the energy stored in the inductor is increasing is:
The rate with which the energy stored in the inductor is increasing at 6 Joule/s.
To find the answer, we need to know about the rate of change of energy in inductor.
What's the rate of change of energy of inductor?The energy stored in inductor (E)=(1/2)× L× I²The rate of change of energy (dE/dt) = L×I×(dI/dt)What's the rate of energy increased in the inductor, if rate of increasing current, L and I are respectively 200A/s, 6mH and 5 A respectively?Here , dI/dt = 200A/s, L=6mH, I = 5 ARate of energy increased= 6mH×5×200= 6 Joule/s
Thus, we can conclude that the rate of increasing energy is 6 Joule/s.
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Which type of galaxy is likely to contain only o-spectral type stars?
A 500-turn solenoid is 8 cm long. When the current in this solenoid is increased from 0 A to th emagnitude of the induced EMG is 0.012 V. Find inductance
The inductance for a solenoid is 1.7 mH
What is Inductance?
It is the property of an electric conductor or circuit that causes an electromotive force to be generated by a change in the current flowing.
The formula for the inductance:
L = |e| / ( Δi / Δt )
Where,
L = inductance
e = induced emf = 0.012 V
Δi = change in current = 2.5-0 = 2.5 A
Δt = change in time = 0.35 s
Substituting the values in formula of Inductance,
L = 0.012 / ( 2.5/0.35 )
L = 1.7 * 10^-3 H
L = 1.7 mH
Hence
The inductance for a solenoid is 1.7 mH
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Your question is incomplete, but probably full question was:
A 500-turn solenoid is 8.0 cm long. When the current in this solenoid is increased from 0 to 2.5 A in 0.35 s, the magnitude of the induced emf is 0.012. Find the inductance.
Edwin hubble was able to show that (with the exception of our nearest neighbors) the farther a galaxy is from us, the?
Edwin hubble was able to show that (with the exception of our nearest neighbors) the farther a galaxy is from us, the faster it is moving away from us.
Hubble ultimately demonstrated that, contrary to the widely accepted belief that the universe is static, galaxies are actually moving away from us. Hubble noticed that the light appeared to be shifted toward the red end of the spectrum by observing the light coming from distinct galaxies.
Hubble made the amazing discovery that a galaxy's redshift exactly correlated with its distance from the earth. That implied that objects farther from Earth were dispersing more quickly. To put it another way, the cosmos must be growing. In 1929, he made his discovery public.
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useful and inconvenience of frictional force of a soccor player running with soccer boots
They are useful in providing larger frictional force.
The force produced by two surfaces coming into contact and sliding against one another is referred to as frictional force.
The following variables impact the frictional force: Surface roughness and the amount of force pressing them together have the biggest impact on these forces.
Football shoes have spikes or studs because they offer more frictional force when running on grass than regular shoes do.
The studs make it easier for players to move faster and change directions rapidly without slipping while also preventing them from slipping on the grass.
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A hypothetical metal has the bcc crystal structure, a density of 7. 24 g/cm3, and an atomic weight of 48. 9 g/mol. The atomic radius of this metal is.
Atomic radius of this metal is 0.85 x 10^23
Given:
density of metal = 7. 24 g/cm3
metal has the bcc crystal structure
atomic weight = 48. 9 g/mol
To Find:
atomic radius of this metal
Solution: Atomic radius is defined as half the distance between the centers of two neighboring atoms. the atomic radius of a simple cube and hcp is a/2 respectively, whereas it is a√2/4 and a√3/4 for fcc and bcc respectively.
density = Z x M/N• x a^3
a = edge length
Z = 2 atoms = numeber of atoms per unit cell
N• = 6.023 x 10^23 atoms/mol = Avogadro's number
a^3 = density x N•/Z x M
a^3 = 7.24 x 6.023 x 10^23/ 2 x 48. 9
a = 3√0.44 x 10^23
a = 1.98 x 10^23
4R = √3a
R = √3 x 1.98 x 10^23/4
R = 0.85 x 10^23
Atomic radius of this metal is 0.85 x 10^23
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Thinking about planck's law, which star would give off the most orange light?
Thinking about Planck's law, the Red star would give off the most orange light.
According to Planck's Law, distinct atoms and molecules can emit or take in power in discrete portions simplest. The smallest amount of strength that can be emitted or absorbed inside the form of electromagnetic radiation is called quantum.
Planck's Law describes the quantity of spectral radiance at a particular wavelength radiated through a black body in equilibrium. The equation is E=hv.
The floor temperature of a celeb determines the color of mild it emits. Blue stars are warmer than yellow stars, which are hotter than red stars. The bright orange celebrity Arcturus is particularly noteworthy for its massive right motion, The color is a characteristic of their floor temperatures.
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Which starting material is the limiting reagent in this procedure? which reagent is used in excess? how great is the molar excess (how many times greater)?
The limiting reagent in this procedure is the substance that is completely used in the reaction. The substance which is not completely used is called excess.
The beginning cloth in a chemical reaction is known as the reactant. each chemical response could have one or more reactants.
In a chemical response limiting reagent is the reactant this is fed on first and prevents any similar reaction from happening. the quantity of product shaped during the response is decided by means of the limiting reagent. as an example, allow us to recall the response of solution and chlorine
Materials used during the manufacture of the lively substance (e.g., tradition media, growth factors, and so on) and that are not meant to form a part of the active substance shall be taken into consideration as raw substances. cloth forming a critical part of the lively materials element shall be considered as the beginning substance.
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Which definition of a compression is correct?
Compression is the term for the reduction in volume that stress causes in any object or material. Living systems as well as solids, liquids, and gases may all endure compression. For example, the pressure of the atmosphere at sea level is the standard, or reference, for most land animals, but the standard for deep-sea fishes and similar specialized forms is the normal pressure of their environment. In the latter, compression is measured against the system's volume at the standard pressure to which an organism is subjected.
2. If you want 0. 250 a (250 milliamps) to flow around a circuit with a resistance of 400 ohms, what voltage do you need?
Answer:
0.000625 V
Explanation:
The formula linking current , resistance and voltage is :
V = I/R
Voltage = Current / Resistance
Now we substitute values given in question :
Voltage = 0.250 / 400
Voltage (V) = 0.000625
Our final answer is 0.000625 V
Hope this helped and have a good day
A copper penny has a mass of 3.0 g. A total of 4.0 × 10^12 electrons are transferred from one neutral penny to another. If the electrostatic force of attraction between the pennies is equal to the weight of a penny, what is the separation between them?
Then the separation between the two pennies will be O.354m.
To find the correct answer, we need to know about the electrostatic force of attraction.
What is the separation between the pennies?We have given with the information's,[tex]m=3*10^{-3}kg\\n=4*10^{12}\\[/tex]
As we know that the charge of one electron is 1.6×10^-19C.Thus, the total charge on the penny will be,[tex]Q_1=4*10^{12}*1.6*10^{-19}=6.4*10^{-7}C.\\Q_2=-Q_1[/tex]
We have the expression for electrostatic force of attraction as,[tex]F_e=\frac{kQ_1Q_2}{r^2} =mg\\[/tex] , here given that the electrostatic force equal to the weight of the system.
We have to find the separation between the pennies.[tex]r=\sqrt{\frac{kQ_1Q_2}{mg} } =\sqrt{\frac{(6.4*10^{-7})^2}{4*3.14*8.85*10^{-12}*3*10^{-3}*9.8} }\\\\r=0.354m[/tex]
Thus, we can conclude that the separation between the pennies is 0.354m.
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0.354m will be the separation between the two pennies.
We must understand the electrostatic force of attraction in order to arrive at the correct solution.
How far apart are the pennies from one another?One electron has a charge of 1.6 10-19 coulombs, as is common knowledge. Consequently, the total fee for the penny will be,[tex]Q_1=ne=4*10^{12}*1.67*10^{-19}=6.4*10^{-7}C\\Q_2=-Q_1[/tex]
The expression of electrostatic force of attraction is as follows:[tex]F=\frac{kQ_1Q_2}{R^2}=mg[/tex]
Given that the electrostatic force in this instance is equal to the system's weight.
We must determine the distance between the pennies.[tex]R=\sqrt{\frac{kQ_1Q_2}{mg} } =0.354m[/tex]
As a result, we may say that the distance between the pennies is 0.354m.
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