Answer:
Explanation:
Assuming that h is much smaller than R, then we can say the acceleration of gravity is approximately constant.
Potential energy = Kinetic energy
mgh = 1/2 mv²
v = √(2gh)
v = √(2 (MG/R²) h)
v = √(2 MGh) / R
An expression for the object's speed as it hits the ground is:
v = √ [ ( 2GMh ) / ( R ( R + h ) ) ]
[tex]\texttt{ }[/tex]
Further explanationLet's recall the Gravitational Force formula:
[tex]\boxed {F = G\ \frac{m_1 m_2}{R^2}}[/tex]
where:
F = Gravitational Force ( N )
G = Gravitational Constant ( = 6.67 × 10⁻¹¹ Nm²/kg² )
m = mass of object ( kg )
R = distance between object ( m )
Let us now tackle the problem!
[tex]\texttt{ }[/tex]
Given:
mass of object = m
height position of object = h
mass of planet = M
radius of planet = R
initial speed of object = u = 0 m/s
Asked:
final speed of object = v = ?
Solution:
We will calculate the object's speed by using Conservation of Energy formula as follows:
[tex]Ep_1 + Ek_1 = Ep_2 + Ek_2[/tex]
[tex]-G \frac{Mm}{R + h} + \frac{1}{2}m u^2 = -G \frac{Mm}{R} + \frac{1}{2}m v^2[/tex]
[tex]-G \frac{Mm}{R + h} + \frac{1}{2}m (0)^2 = -G \frac{Mm}{R} + \frac{1}{2}m v^2[/tex]
[tex]-G \frac{Mm}{R + h} = -G \frac{Mm}{R} + \frac{1}{2}m v^2[/tex]
[tex]G \frac{Mm}{R} -G \frac{Mm}{R + h} = \frac{1}{2}m v^2[/tex]
[tex]G \frac{M}{R} -G \frac{M}{R + h} = \frac{1}{2} v^2[/tex]
[tex]v^2 = 2GM ( \frac{1}{R} -\frac{1}{R + h} )[/tex]
[tex]v^2 = 2GM\frac{h}{R(R +h) }[/tex]
[tex]\boxed {v = \sqrt { \frac{ 2GMh } { R(R +h) } } }[/tex]
[tex]\texttt{ }[/tex]
Learn moreUnit of G : https://brainly.com/question/1724648Velocity of Runner : https://brainly.com/question/3813437Kinetic Energy : https://brainly.com/question/692781Acceleration : https://brainly.com/question/2283922The Speed of Car : https://brainly.com/question/568302[tex]\texttt{ }[/tex]
Answer detailsGrade: High School
Subject: Mathematics
Chapter: Gravitational Force
The visible light spectrum ranges between
Answer: 380 nm (violet-blue) and 780 nm (red)
Explanation:
The portion visible by the human eye of the electromagnetic spectrum is between 380 nm (violet-blue) and 780 nm (red) approximately.
This part of the spectrum is located between ultraviolet light and infrared light.
It should be noted that the fact only part of the whole electromagnetic spectrum is visible to humans is because the receptors in our eyes are only sensitive to these wavelengths.
Red goes in the first blank and violet goes in the second blank if you're using plato
The atmosphere is made up of several layers of air. The bottom two layers are the troposphere and the stratosphere. How does the troposphere differ from the stratosphere?
Troposhere is differ from stratosphere by the following reason
1. all weather pheonamena take place in trosphere
2. in trosposphere temperature increase by increasing height which is just opposite in the case of stratosphere
3. the maximum air is found in trosposphere
Final answer:
The troposphere is the earthly atmospheric layer where weather and major atmospheric changes take place due to its high density and temperature that decreases with altitude. Above it sits the stratosphere, which contains the ozone layer, and exhibits a temperature inversion, stability, and a lack of weather phenomena.
Explanation:
Comparison of Troposphere and Stratosphere
The troposphere and stratosphere are the two lowest layers of the Earth's atmosphere. The troposphere is the bottommost layer, where nearly all weather occurs and which houses most of the atmospheric mass. This layer extends from sea level up to about 9 km at the poles and averages 12 km in thickness, reaching up to 17 km at the equator due to the Earth's rotation. The troposphere is characterized by a temperature that decreases with altitude, making it denser near the surface. By contrast, the stratosphere is the second layer that lies above the troposphere, stretching from approximately 12 km to 50 km above Earth's surface. It contains the ozone layer and is known for its temperature inversion, where temperature increases with altitude due to the absorption of ultraviolet radiation by ozone.
The most discernible difference between the troposphere and the stratosphere is the temperature gradient. In the troposphere, temperature generally decreases with altitude, while in the stratosphere, it increases with altitude due to the presence of the ozone layer which absorbs and scatters the Sun's ultraviolet light. This temperature inversion creates a stable layer that prevents convective currents, marking a clear boundary between these two atmospheric layers known as the tropopause.
The troposphere is significantly more turbulent and dynamic, housing all the weather systems and majority of the atmospheric water vapors. Meanwhile, the stratosphere maintains a more stable environment. The difference in density and temperature between the two layers is responsible for the distinctive weather phenomena and atmospheric conditions unique to each layer.
A small planet having a radius of 1000 km exerts a gravitational force of 100 N on an object that is 500 km above its surface. If this object is moved 500 km farther from the planet, the gravitational force on it will be closest to :(A) 75 N(B) 71 N(C) 56 N(D) 50 N(E) 25 N
Answer:
56 N
Explanation:
Gravitational force on the object:
[tex]F = G\frac{Mm}{d^2}[/tex]
where, G is the gravitational constant, M is the mass of the planet and m is the mass of the object, d is the distance between the planet and the object.
[tex]F \times d^2= GMm\\ \Rightarrow GMm= (100)(1.5\times10^6)^2[/tex]
d'=d+500 km
[tex]F'=\frac{(100)(1.5\times10^6)^2}{(2\times10^6)^2} = 56.25N[/tex]
Thus, option (c) is correct.
The new gravitational force on the object, when moved 500km farther from the planet, will be closest to 56N. This result is calculated using inverse square law of gravity where the gravitational force decreases with the square of the increase in distance.
Explanation:The physics concept at work here is the inverse square law of gravity, which states that the gravitational force between two objects decreases with the square of the distance between them. In mathematical terms, it is written as F = G*((m1*m2)/r^2), where F is the force of gravity, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between the centers of the two objects.
In this case, the radius of the planet is 1000 km and the object is 500 km above the surface of the planet, so the total distance (r) is 1500 km. When the object is moved 500 km farther, the new distance will be 2000 km or 4/3 times the original distance. This factor squared is 16/9, so the new gravitational force will be 9/16 of the original force. Therefore, the new gravitational force is 9/16 * 100 N = 56.25 N, so the closest choice is (C) 56 N.
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Infrared rays have a shorter wavelength than
Answer:
Microwaves and radio waves
Explanation:
The electromagnetic spectrum is the classification of the electromagnetic waves according to their wavelength.
From shortest to longest wavelength, they are classified as follows:
Gamma rays < 6 pm
X-rays 6 pm - 10 nm
Ultraviolet 10 nm - 380 nm
Visible light 380 nm - 750 nm
Infrared radiation [tex]750 nm - 5 \mu m[/tex]
Microwaves [tex]5 \mu m -0.3 m[/tex]
Radio waves > 0.3 m
From the list, we see that infrared rays have shorter wavelength than microwaves and radiowaves.
Infrared rays have longer wavelengths than visible light and ultraviolet radiation, falling in the range of 0.74(5m) to 1 mm, and are typically emitted by objects near room temperature. They are lower in energy and frequency compared to ultraviolet radiation, and are responsible for the warming sensation experienced when absorbed by the skin.
In answer to your question: Infrared rays have a shorter wavelength than microwaves. Infrared radiation, including infrared rays, falls below visible light in the electromagnetic spectrum with longer wavelengths and shorter frequencies than visible light. It ranges from about 0.74 micrometers (5m) to 1 millimeter (mm), corresponding to frequencies roughly from 300 gigahertz (GHz) to 400 terahertz (THz). Infrared rays are of lower energy compared to not only visible light but also ultraviolet radiation, which has a shorter wavelength and higher frequency than both visible light and infrared radiation.
Objects near room temperature emit most of the thermal radiation in the infrared range. Infrared light is emitted or absorbed by molecules when they change their rotational-vibrational movements. The sensation of warmth we often associate with infrared waves is due to the absorption of this radiation by our skin, which causes molecules to vibrate and increase in kinetic energy.
A typical american family uses 1000 kwh of electricity a month. what is the average rrns current in the 120 v power line to a typical house?
Power = (1000 kilo-Watt-hr/mo) x (1000/kilo) x (mo/30day) x (day/24 hr)
Power = (1000 x 1000 / 30 x 24) (kilo-watt-hr-mo-day/mo-kilo-day-hr)
Power = (1,000,000/720) watt
(voltage x current) = (1,000,000/720) watts
120v x current = (1,000,000/720) watts
Current = 1,000,000 / (720 x 120) Amperes
Current = 11.57 Amperes
The typical American home draws around an average effective (RMS) current of 11.58 amps from a 120 V power line.
Explanation:The average current in the power line of a typical American house can be calculated using Ohm's law and the power equation. If a typical American family uses 1000 kWh per month, we need to convert this to average power in kW, which gives (1000 kWh) / (30 days*24 hours) = 1.39 kW = 1390 W.
Given that the voltage is 120 V, we can use the formula: P = IV, rearranging to find I = P/V. Therefore, I = 1390 W / 120 V = 11.58 A.
This means the power to a standard American home running at typical usage rates should draw an average effective(RMS) current of around 11.58 amps from a 120 V power line.
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what is the magnification of a virtual image if the image is 10.0 cm....
Answer:
5.0
Explanation:
because 50.0 / 10.0 equals 5
What happens to steam during condensation
Explanation:
Condensation is the process of changing the physical state of matter, from gas to liquid state. During condensation of matter, the physical state of the matter changes. Now in this question it is asked that what happens to the steam during the process of condensation. So steam is the matter, and during this process, steam converts its molecules from gaseous to the liquid state without heating. After this process, the steam is converted back to its liquid state. The liquid now take less space than that of the gas and exert less pressure on the walls of the container.
Which of the following technologies would produce the most energy in light waves?
A.Halogen lightbulb
B.Radio-controlled toy airplane
C.Microwave industrial drying equipment
D.Ultraviolet disinfecting wand
Answer:
D. Ultraviolet disinfecting wand.
Explanation:
Energy in light waves depends upon the frequency o the waves. Higher the frequency of the waves, higher the amount of energy it carries. Similarly, waves with shorter wavelength has higher frequencies and thus more energy.
Ultraviolet disinfecting wand would produce most energy out of the four options because it produce UV waves which have shorter wavelength and higher frequency.
Answer: (B): Radio-controlled airplane
Explanation:
A P E X
A sealed bottle is full of air. The volume of the bottle is decreased, but the temperature remains constant. What other change occurs in the bottle?
Answer:
The air pressure will increase.
Explanation:
Answer:The pressure of the gas in the bottle increases
Explanation:this is governed by Boyles law which states that at constant temperature,the volume of a gas is inversely proportional to it's pressure ,i.e mathematically V&1/P at constant temperature,this can be further arranged as P1V1=P2V2.the implication of this formula is that as volume of gases increases,it pressure is decreasing and vice versa.
It is important to note that the constant here is the absolute temperature of the bottle
Planet that has an orbit that intersects the orbit of pluto
Answer:
Neptune
Explanation:
"Answer: Pluto is usually farthest from the Sun. However, its orbit "crosses" inside of Neptune's orbit for 20 years out of every 248 years. Pluto last crossed inside Neptune's orbit on February 7, 1979, and temporarily became the 8th planet from the Sun. "
Source:https://starchild.gsfc.nasa.gov/docs/StarChild/questions/question5.html
The minimum energy required for an effective collision is called
Answer:
Activation Energy
Explanation:
Effective collisions are those that result in a chemical reaction. In order to produce an effective collision, reactant particles must possess some minimum amount of energy. This energy, used to initiate the reaction, is called the activation energy.
The weight of an object is the product of its mass, m, and the acceleration of gravity, g (where g=9.8 m/s2). Of an object’s mass is m=10. kg, what is its weight?
Answer:
98 N
Explanation:
The weight of an object is given by
W = mg
where
m is the mass of the object
g = 9.8 m/s^2 is the acceleration of gravity
Here we have an object with mass
m = 10 kg
Therefore, its weight will be
[tex]W=(10 kg)(9.8 m/s^2)=98 N[/tex]
A roller coaster car rapidly picks up speed as it rolls down a slope. As it starts down the slope, its speed is 4m/s. But 3 seconds later at the bottom of the slope its speed is 22m/s. What is its average acceleration?
Answer:
6 m/s^2
Explanation:
The average acceleration of the car is given by:
[tex]a=\frac{v-u}{t}[/tex]
where
v is the final speed
u is the initial speed
t is the time elapsed
For the car in this problem,
v = 22 m/s
u = 4 m/s
t = 3 s
Therefore, the acceleration of the car is
[tex]a=\frac{22 m/s-4 m/s}{3 s}=6 m/s^2[/tex]
A hockey puck is set in motion across a frozen pond. If ice friction and air resistance are neglected, the force
required to keep the puck sliding at constant velocity is
A) the weight of the puck divided by the mass of the puck.
B) the mass of the puck multiplied by 9.8 meters per second per second.
C) qual to the weight of the puck.
D) zero newtons.
E) none of these.
Answer:
D) Zero newtons
Explanation:
According to the First Newton Law:
"An object keeps its state of rest or its state of uniform motion at constant velocity, when the net force acting on the object is zero"
In this problem, the hockey puck is initially set in motion. While in motion, there are no ice friction and air resistance acting on it: this means that the net force acting on it is zero, so there is no need for an additional force to keep the puck in its state of uniform motion at constant velocity, according to the abovementioned law.
Therefore, the correct answer is
D) zero newtons
In line with Newton's First Law of Motion, the force required to keep a hockey puck sliding at constant velocity on a frictionless surface is zero newtons, because it moves at a constant velocity unless acted upon by an unbalanced force.
Explanation:The answer is D) zero newtons. According to Newton's First Law of Motion, an object will continue to move at a constant velocity unless acted upon by an unbalanced force. When the hockey puck is in motion on a frictionless surface, it keeps moving at a steady velocity without the need for an additional force. The net force acting on the puck is zero. Thus, no extra force is required to maintain its constant velocity.
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(Please Help, Will Give BRAINLIEST Answer)
A 50.0-kilogram skydiver jumps from an airplane and is in freefall for 20 seconds.
Immediately before she opens her parachute, her kinetic energy is 78,400 joules.
If the amount of heat her motion transferred to her surroundings during freefall was 884,000 joules, how far did she fall during her freefall?
(Assume the skydiver's gravitational potential energy is only transformed into heat and kinetic energy, and assume the rate of acceleration due to Earth's gravity is 9.81 m/s/s.)
A. 1,960 meters
B. 1,560 meters
C. 9,620 meters
Answer:
A
Explanation:
Initial gravitational energy = final kinetic energy + heat
mgh = KE + Q
(50 kg) (9.81 m/s²) h = 78400 J + 884000 J
h = 1960 meters
A small cork with an excess charge of +6.0µC is placed 0.12 m from another cork, which carries a charge of -4.3µC.
A) what is the magnitude of the eletric force between the corks?
B) is this force attractive or repulsive?
C) how many excess electrons are on the negative cork?
D) how many electrons has the postive cork lost?
A) 16.1 N
The magnitude of the electric force between the corks is given by Coulomb's law:
[tex]F=k\frac{q_1 q_2}{r^2}[/tex]
where
k is the Coulomb's constant
[tex]q_1 = 6.0 \mu C=6.0 \cdot 10^{-6} C[/tex] is the magnitude of the charge on the first cork
[tex]q_2 = 4.3 \mu C = 4.3 \cdot 10^{-6}C[/tex] is the magnitude of the charge of the second cork
r = 0.12 m is the separation between the two corks
Substituting numbers into the formula, we find
[tex]F=(9\cdot 10^9 N m^2 C^{-2} )\frac{(6.0\cdot 10^{-6}C)(4.3\cdot 10^{-6} C)}{(0.12 m)^2}=16.1 N[/tex]
B) Attractive
According to Coulomb's law, the direction of the electric force between two charged objects depends on the sign of the charge of the two objects.
In particular, we have:
- if the two objects have charges with same sign (e.g. positive-positive or negative-negative), the force is repulsive
- if the two objects have charges with opposite sign (e.g. positive-negative), the force is attractive
In this problem, we have
Cork 1 has a positive charge
Cork 2 has a negative charge
So, the force between them is attractive.
C) [tex]2.69\cdot 10^{13}[/tex]
The net charge of the negative cork is
[tex]q_2 = -4.3 \cdot 10^{-6}C[/tex]
We know that the charge of a single electron is
[tex]e=-1.6\cdot 10^{-19}C[/tex]
The net charge on the negative cork is due to the presence of N excess electrons, so we can write
[tex]q_2 = Ne[/tex]
and solving for N, we find the number of excess electrons:
[tex]N=\frac{q_2}{e}=\frac{-4.3\cdot 10^{-6} C}{-1.6\cdot 10^{-19} C}=2.69\cdot 10^{13}[/tex]
D) [tex]3.75\cdot 10^{13}[/tex]
The net charge on the positive cork is
[tex]q_1 = +6.0\cdot 10^{-6}C[/tex]
We know that the charge of a single electron is
[tex]e=-1.6\cdot 10^{-19}C[/tex]
The net charge on the positive cork is due to the "absence" of N excess electrons, so we can write
[tex]q_1 = -Ne[/tex]
and solving for N, we find the number of electrons lost by the cork:
[tex]N=-\frac{q_1}{e}=-\frac{+6.0\cdot 10^{-6} C}{-1.6\cdot 10^{-19} C}=3.75\cdot 10^{13}[/tex]
Light amplification by stimulated emission of radiation is the full meaning of the acronym _________
Answer: LASER (Light Amplification by Stimulated Emission of Radiation)
A laser is a device that works by the principles of optics that emits a monochromatic light beam (of a single wavelength), coherent and with high intensity. Being this possible thanks to the electrical or thermal stimulation of atoms of a specific material and, on which the color of the emitted light will depend.
Basically, this instrument concentrates the light in a narrow beam and emits it in a concentrated and coherent form.
The alpha particles leave visible tracks in the cloud chamber because
Ionization by the alpha particle seeds the formation of clouds where the particle has passed.
The kinetic energy of the alpha particles heats the air.
The alpha particle is so energetic that it leaves a smoke trail behind.
The alpha particle strikes nitrogen molecules and breaks them into atomic nitrogen.
The inner atmosphere of a cloud chamber is composed of an easily ionizable gas, this means that little energy is required to extract an electron from an atom. This gas is maintained in the supercooling state, so that a minimum disturbance is enough to condense it in the same way as the water is frozen.
Then, when a charged particle with enough energy interacts with this gas, it ionizes it.This is how alpha particles are able to ionize some atoms of the gas contained inside the chamber when they cross the cloud chamber.
These ionized atoms increase the surface tension of the gas around it allowing it to immediately congregate and condense, making it easily distinguishable inside the chamber like a small cloud. In this way, it is perfectly observable the path the individual particles have traveled, simply by observing the cloud traces left in the condensed gas.
Read the scenario.
A pinecone is lying on the road at a position of 0 m. Floyd kicks it to a position of 4 m west. Then, Sybil kicks it, and it comes to rest at a position of 2 m west.
Which option represents a scalar quantity from the scenario?
displacement = 2 m west
distance = 2 m
distance = 6 m west
distance = 6 m
Answer:
distance = 6 m
Explanation:
- Distance is a scalar quantity (so, only magnitude, no direction), and it is calculated as the scalar sum of all the distances travelled by an object during its motion, regardless of the direction. So, in this problem, the distance covered by the pinecone is
d = 4 m + 2 m = 6 m
- Displacement is a vector quantity (magnitude+direction), and its magnitude is calculate as the distance in a straight line between the final position and the initial position of the object. In this case, the final position is 2 m west and the initial position is 0 m, so the displacement of the pinecone is
d = 2 m west - 0 m = 2 m west
So, a scalar quantity from this scenario is
distance = 6 m
An elevator filled with passengers has a mass of 1700 kg. (a) The elevator accelerates upward from rest at a rate of 1.20 m/s^{2} 2 for 1.50 s. Calculate the tension in the cable supporting the elevator. (b) The elevator continues upward at constant velocity for 8.50 s. What is the tension in the cable during this time? (c) The elevator decelerates at a rate of 0.600 m/s^{2} 2 for 3.00 s. What is the tension in the cable during deceleration? (d) How high has the elevator moved above its original starting point, and what is its final velocity?
(a) 18717 N
Newton's second law in this situation can be written as:
[tex]\sum F = T-W = ma[/tex] (1)
where
T is the tension in the cable, pointing upward
W is the weight of the elevator+passengers, pointing downward
m is the mass of the elevator+passengers (1700 kg)
a is the acceleration of the system (1.20 m/s^2, upward)
The weight is equal to the product between the mass, m, and the gravitational acceleration, g:
[tex]W=mg=(1700 kg)(9.81 m/s^2)=16,677 N[/tex]
So now we can solve eq.(1) to find T, the tension in the cable:
[tex]T=W+ma=16,677 N +(1700 kg)(1.20 m/s^2)=18,717 N[/tex]
(b) 16677 N
In this situation, the elevator is moving with constant velocity: this means that its acceleration is zero,
a = 0
So Newton's second law becomes
[tex]\sum F = T-W = 0[/tex]
and so we find
[tex]T=W=16,677 N[/tex]
(c) 15657 N
During the deceleration phase, Newton's second law can be written as:
[tex]\sum F = T-W = ma[/tex] (1)
Where the acceleration here points downward (because the elevator is decelerating), as the weight W, so we can write it as a negative number:
a = -0.600 m/s^2
we can solve the equation to find T, the tension in the cable:
[tex]T=W+ma=16,677 N +(1700 kg)(-0.600 m/s^2)=15,657 N[/tex]
(d) 19.35 m, 0 m/s
Distance covered during the first part of the motion; we know that
u = 0 is the initial velocity
a = 1.20 m/s^2 is the acceleration
t = 1.50 s is the time
So the distance covered is given by
[tex]d_1=ut + \frac{1}{2}at^2 = (0)(1.50 s)+\frac{1}{2}(1.20 m/s^2)(1.50 s)^2=1.35 m[/tex]
and the final velocity after this phase is
[tex]v_1=u+at=0+(1.20 m/s^2)(1.50 s)=1.8 m/s[/tex]
During the 2nd part of the motion, the elevator moves at constant speed of 1.8 m/s for t=8.50 s, so the distance covered here is
[tex]d_2 = v_1 t =(1.8 m/s)(8.50 s)=15.3 m[/tex]
Finally, in the third part the elevator decelerates at a = -0.600 m/s^2 for t = 3.00 s. So, the distance covered here is
[tex]d_3 = v_1 t + \frac{1}{2}at^2=(1.8 m/s)(3.00 s) + \frac{1}{2}(-0.600 m/s^2)(3.00 s)^2=2.7 m[/tex]
and the final velocity is
[tex]v_3 = v_1 +at = 1.8 m/s +(-0.600 m/s^2)(3.00 s)=0[/tex]
and the total distance covered is
[tex]d=d_1 +d_2+d_3=1.35 m+15.30 m+2.70 m=19.35 m[/tex]
If the path-length differences between two identical and coherent beams is two wavelengths when they arrive on a screen, will they produce a dark or a bright spot?
a. bright spotb. dark spot
Answer:
Bright spot
Explanation:
When we have interference between two identical and coherent beams, the conditions for constructive interference (bright spots) and destructive interference (dark spots) are:
- Costructive interference: the path-length differences between the two waves is an integer multiple of the wavelength of the waves:
[tex]|d_1 - d_2| = n \lambda[/tex]
where the term on the left is the path difference, and [tex]\lambda[/tex] is the wavelength
- Destructive interference: the path-length differences between the two waves is an odd multiple of half the wavelength of the waves:
[tex]|d_1 - d_2| = (n+\frac{1}{2}) \lambda[/tex]
In this problem, the path-length difference is 2 wavelengths: so, it is an integer multiple of the wavelength, therefore the point is a point of constructive inteference (bright spot).
A path-length difference of two wavelengths between two coherent beams results in a bright spot on the screen due to constructive interference. This is related to double slit experiments, which display evenly spaced bright fringes.
Explanation:If two identical and coherent beams of light have a path-length difference of two wavelengths when they arrive on a screen, they will produce a bright spot. This is because a path-length difference of an integer number of wavelengths, such as two wavelengths, results in constructive interference. Constructive interference occurs when the crest of one wave overlaps with the crest of another, leading to an increase in amplitude and thus a bright fringe on the screen. This principle is at work in both single and double slit experiments.
In the context of single slit and double slit interference, evenly spaced bright spots are a characteristic of double slit experiments. On the other hand, the observation that some bright spots are dimmer on either side of the center is typical in single slit interference patterns because of the different path lengths and resulting interference effects.
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Which of the following statements are true concerning a stable nucleus?Check all that apply..There is a limit to the size of a stable nucleus because of the short range of the strong nuclear force.A stable nucleus contains a larger number of neutrons than protons.There is no limit to the size of a stable nucleus because of the great strength of the strong nuclear force.A stable nucleus contains nearly equal numbers of protons and neutrons.A stable nucleus contains a larger number of protons than neutrons.
Answer:
There is a limit to the size of a stable nucleus because of the short range of the strong nuclear force
A stable nucleus contains nearly equal numbers of protons and neutrons
Explanation:
For an atom nucleus to be stable it has to have a balance between the strong nuclear forces keeping the protons and neutrons together against the repulsive electrostatic forces of the positively charged protons. When the nucleus is too large, the binding energy of the strong nuclear forces, that act over a short range, may not be sufficient to hold the nucleus together hence causing instability.
Where is visible light located on the electromagnetic spectrum
Answer:
The portion visible by the human eye of the electromagnetic spectrum is between 380 nm (violet-blue) and 780 nm (red) approximately.
This part of the spectrum is located between ultraviolet light and infrared light.
It should be noted that the fact only part of the whole electromagnetic spectrum is visible to humans is because the receptors in our eyes are only sensitive to these wavelengths.
Answer:
near the middle
Explanation:
for gradpoint anyway
What is the most common fuel used in nuclear power plants
Answer:
Uranium
Explanation:
The nuclear power plants on Earth work based on the principle of nuclear fission.
Nuclear fission occurs when a heavy unstable nucleus splits into lighter nuclei: in this process, the total mass of the final product is smaller than the mass of the initial heavy nucleus, so part of the mass is converted into energy according to Einstein's equation:
[tex]E=mc^2[/tex]
where E is the energy released when an amount of mass m is converted (c is the speed of light).
Generally, the "fuel" (the initial heavy unstable element) used in nuclear power plants is uranium. A nucleus of uranium is bombarded with slow neutrons, which cause the process of nuclear fission to start: the nucleus of uranium split into lighter nuclei, releasing also additional neutrons, which are used to start further nuclear reactions.
What is the energy of a photon that has the same wavelength as an electron having a kinetic energy of 15 ev?
Answer: [tex]6.268(10)^{-16}J[/tex]
Explanation:
The kinetic energy of an electron [tex]K_{e}[/tex] is given by the following equation:
[tex]K_{e}=\frac{(p_{e})^{2} }{2m_{e}}[/tex] (1)
Where:
[tex]K_{e}=15eV=2.403^{-18}J=2.403^{-18}\frac{kgm^{2}}{s^{2}}[/tex]
[tex]p_{e}[/tex] is the momentum of the electron
[tex]m_{e}=9.11(10)^{-31}kg[/tex] is the mass of the electron
From (1) we can find [tex]p_{e}[/tex]:
[tex]p_{e}=\sqrt{2K_{e}m_{e}}[/tex] (2)
[tex]p_{e}=\sqrt{2(2.403^{-18}J)(9.11(10)^{-31}kg)}[/tex]
[tex]p_{e}=2.091(10)^{-24}\frac{kgm}{s}[/tex] (3)
Now, in order to find the wavelength of the electron [tex]\lambda_{e}[/tex] with this given kinetic energy (hence momentum), we will use the De Broglie wavelength equation:
[tex]\lambda_{e}=\frac{h}{p_{e}}[/tex] (4)
Where:
[tex]h=6.626(10)^{-34}J.s=6.626(10)^{-34}\frac{m^{2}kg}{s}[/tex] is the Planck constant
So, we will use the value of [tex]p_{e}[/tex] found in (3) for equation (4):
[tex]\lambda_{e}=\frac{6.626(10)^{-34}J.s}{2.091(10)^{-24}\frac{kgm}{s}}[/tex]
[tex]\lambda_{e}=3.168(10)^{-10}m[/tex] (5)
We are told the wavelength of the photon [tex]\lambda_{p}[/tex] is the same as the wavelength of the electron:
[tex]\lambda_{e}=\lambda_{p}=3.168(10)^{-10}m[/tex] (6)
Therefore we will use this wavelength to find the energy of the photon [tex]E_{p}[/tex] using the following equation:
[tex]E_{p}=\frac{hc}{lambda_{p}}[/tex] (7)
Where [tex]c=3(10)^{8}m/s[/tex] is the spped of light in vacuum
[tex]E_{p}=\frac{(6.626(10)^{-34}J.s)(3(10)^{8}m/s)}{3.168(10)^{-10}m}[/tex]
Finally:
[tex]E_{p}=6.268(10)^{-16}J[/tex]
What is the law of conservation of matter
Answer:
The law of conservation of matter (or mass), also known as the Law of Lomonosov-Lavoisier, states the following:
"In a chemical reaction the sum of the mass of the reactants is equal to the sum of the mass of the products."
Hence the famous phrase:
"The mass is not created or destroyed, it only transforms."
This was raised by the Russian scientist Mikhail Lomonosov in 1748 and independently discovered years later by the French chemist Antoine Lavoisier in 1785.
It should be noted that this principle is quite accurate for low-energy chemical reactions, but for nuclear reactions (collisions between particles at high energies), this classical definition does not apply (the total mass of the system does not have to be strictly conserved) and must be taken into account the equivalence between mass and energy that was postulated in Albert Einstein's theory of relativity:
"The amount of mass-energy that manifests a certain space-time is constant throughout the universe."
Being this expressed mathematically by his famous equation where he relates the energy [tex]E[/tex] with the mass [tex]m[/tex] and the speed of light [tex]c[/tex]:
[tex]E=mc^{2} [/tex]
Answer:
Matter cannot be created or destroyed.
Explanation:
APEX
two cars collide at an intersection. one car has a mass of 900 kg and is moving 10 m/s to the north, while the other has a mass of 1000 kg and is moving 7 m/s to the south. what is their combined momentum?
Answer:
2000 kgm/s to the north.
Explanation:
For any colliding bodies, momentum must be conserved.
In this case we are required to find the momentum before collision.
Since the two cars are moving to different direction, we are going to take one velocity as negative.
∴ (900×10) + (1000× -7) = 9000 + - 7000
= 9000 - 7000
= 2000 kgm/s
Since the answer is positive and we had taken the velocity due north as positive, the combined momentum is 2000 kgm/s to the north.
When the flashlight is in the air and the refracted ray enters the water, how does the angle of refraction compare with the angle of incidence?
Answer:
The refracted angle will be less than the angle of incidence and the speed of light is slower in the new medium (which is water) and is closer to the normal.
Try remembering this by using FST SFA (Fast Sofa)
Fast -> Slow = Towards the normal
Slow -> Fast = Away from normal
When the flashlight is in the air and the refracted ray enters the water, the angle of refraction will be less than the angle of incidence.
What is refracted ray?When the light ray falls on the surface with angle of incidence, the lights gets reflected in the same medium with angle of reflection. The remaining rays gets into the medium on the other side of the surface.
The refracted angle is always less than the angle of incidence and the speed of light is slower comparatively in the another medium.
Thus, when the flashlight is in the air and the refracted ray enters the water, the angle of refraction will be less than the angle of incidence.
Learn more about refracted ray.
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Energy from the sun reaches earth mostly by
Answer:
Radiation is the correct answer for this question.
Explanation:
In Millikan’s experiment, the oil droplets acquire one or more negative charges by combining with the negative charges that are produced from the ionization of air by X rays. By measuring the charges on the oil droplets, he calculated the charge on a single electron as −1.60×10−19 C. The charge on any negatively charged oil droplet is always a whole-number multiple of the fundamental charge of a single electron.If Millikan was measuring the charge on an oil droplet with 10 negatively charged electrons on it, what charge would he have measured on the droplet?
Answer:
[tex]-1.6\cdot 10^{-18}C[/tex]
Explanation:
The charge of a single electron is:
[tex]q=-1.6\cdot 10^{-19}C[/tex]
If the oil droplet has N electrons, the total charge of the droplet will be
[tex]Q=Nq[/tex]
In this case, we have
N = 10
Therefore, the total charge on the droplet is
[tex]Q=(10)(-1.6\cdot 10^{-19} C)=-1.6\cdot 10^{-18}C[/tex]
In Millikan's experiment, the charge on any negatively charged oil droplet is always a whole-number multiple of the fundamental charge of a single electron. If the oil droplet had 10 negatively charged electrons, Millikan would have measured a charge of [tex]-1.60x10^-18[/tex] let.
Explanation:Millikan's experiment involved measuring the charges on oil droplets that acquire negative charges by combining with the negative charges produced from the ionization of air by X rays. Millikan found that the charge on any negatively charged oil droplet is always a whole-number multiple of the fundamental charge of a single electron, which is [tex]-1.60x10^-19[/tex]
If Millikan was measuring the charge on an oil droplet with 10 negatively charged electrons on it, he would have measured a charge of[tex]-1.60x10^-19[/tex] y 10, which is [tex]-1.60x10^-18[/tex]