The un polarization of light at each state was explained and second polarizer is I2=I1=Io/2 and first polarizer is I2=Io/4=Io/2 cos^(q).
What is polarization?
Polarized light waves are defined as those light waves that only travel in one plane. The polarization of light is the process by which unpolarized light waves are converted to polarized light waves.
What is un polarization ?
Unpolarized light is a form of electromagnetic radiation that vibrates in more than one plane. Unpolarized light is the kind that comes from the sun, a desk lamp, or a candle flame.
a) When the pass axis of the two polarizers are perpendicular to each other.
b) Not possible, because after first polarizer intensity becomes Io/2.
from malus law after second polarizer I2=I1 cos^2(q)
I2=2Io/3, cos^2(q)=4/3, q=cos^-1(1.15) Which does not exist.
c) When the pass axis of the second polarizer is parallel to first i.e q=0
I2=I1=Io/2.
d) I2=Io/4=Io/2 cos^(q)
cos^(q)=1/2, q=45 degree w.r.t pass axis of the first polarizer.
Therefore, the un polarization of light at each state was explained and second polarizer is I2=I1=Io/2 and first polarizer is I2=Io/4=Io/2 cos^(q).
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Use Fig. 3 to help calculate the minimum required box volume. The box contains (2) 14/2 w/grd, and (1) switch. The box contains no clamps and all conductors are spliced or pigtailed. Select one: a. 18 cu.in. b. 16 cu, in c. 14 cu.in d. 12 cu, in
Because each 12 AWG conductor requires 2.25 cubic inches of space, the volume required for four 12 AWG conductors is 9 cubic inches.
A 4 AWG copper wire is the minimum size equipment grounding conductor for this 200-ampere feeder. This number comes after gauge. For example, 14/2 shows that the cable contains two 14-gauge wires (a ground wire, if present, is not included in this number). Grounding: The letter "G" or the word "GROUND" indicate the presence of a ground wire. Throughout your basement project, this is the wire that connects all of your light fixtures and switches to your panel box.
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the direction of the acceleration of the block, when in position i, is best represented by which of the arrows in the diagram?
a. 4
b. 5
c. 2
d. none of the arrows, the acceleration is zero
The arrow that best represented the acceleration position is the arrow 4.
Arrow 4 represents the direction of the acceleration vector at the position of the arrow.
In a velocity-time graph, the acceleration corresponds to the slope of the curve.
In fact, acceleration is defined as the ratio between the change in velocity and the time interval.
A arrow indicates the location of an acceleration at a certain location. The acceleration line will radiate outward in the case of a positive direction. The direction of the acceleration at a certain location is not, however, shown by the arrow. As a result, reading the values of positive signs on a field line is useless.
Since, direction of motion at I is nearly parallel to 4 so the arrow represented will be 4.
Therefore the arrow that best represented the acceleration position is the arrow 4.
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What causes the boat in Fig. 4–41 to move forward? (a) The force the man exerts on the paddle. (b) The force the paddle exerts on the water. (c) The force the water exerts on the paddle. (d) The motion of the water itself.
The force that the pedal exerts on the water causes the boat to move in the forward direction.
According to the third law of motion proposed by Newton, for every action force there is an equal and opposite reaction force generated.
When the man paddles it exerts a force on the water, in return the water also exerts a force on the boat of the man.
Because the mass of the man is very very less in comparison to the water body.
The water body does not move backward but the force applied by The Man on the water body makes the boat to move forward.
So we can conclude here the force that the pedal exerts on the water body causes the boat to move in the forward direction.
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You have a light spring which obeys Hooke's law. This spring stretches 2.74 cm vertically when a 2.30-kg object is suspended from it. Determine the following.
(a) force constant of the spring
N/m
(b) distance the spring stretches if you replace the 2.50-kg object with a 1.25-kg object
cm
(c) amount of work an external agent must do to stretch the spring 6.40 cm from its unstretched position
J
The force constant is 827.4 N/m, the distance is 1.48 cm and the amount of work done is 3.42 J.
To find the force constant of the spring, we use the equation F = kx, where F is the force applied to the spring, k is the force constant, and x is the displacement of the spring. We are given that the mass of the object is 2.30 kg, so the force applied to the spring is equal to the weight of the object, which is given as:
F = mg = (2.30 kg)(9.8 m/s^2) = 22.54 N.
We are also given that the spring stretches 2.74 cm, or 0.0274 m. Plugging these values into the equation above, we get:
22.54 N = k * 0.0274 m
Solving for k, we find that the force constant of the spring is k = 827.4 N/m.
To find the distance the spring stretches when a 1.25-kg object is suspended from it, we use the same equation F = k*x, but with the new values for F and x. The force applied to the spring is now:
F = mg = (1.25 kg)(9.8 m/s^2) = 12.25 N.
Solving for x, we find that the spring stretches:
x = F/k = (12.25 N)/(827.4 N/m) = 0.0148 m = 1.48 cm.
To find the amount of work an external agent must do to stretch the spring 6.40 cm from its un-stretched position, we use the following equation:
W = F×d
where W is the work done, F is the force applied to the spring, and d is the displacement of the spring.
In this case, the force applied to the spring is given as:
F = k*x = (827.4 N/m)(0.0640 m) = 53.29 N,
and the displacement of the spring is d = 0.0640 m. Plugging these values into the equation above, we find that the work done is
W = (53.29 N)(0.0640 m) = 3.42 J.
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the following six particles (with rest energy e0e0 and kinetic energy kk as indicated) are collided with their antimatter partners traveling in the opposite direction with the same kinetic energy. the resulting matter-antimatter annihilation produces a pair of photons traveling in opposite directions. part a rank these particles on the basis of energy of the photons they create. rank from largest to smallest. to rank items as equivalent, overlap them.
The rank of particles on the basis of energy is 2 > 3 = 4 > 1 > 5 = 6
The Rank of particles on the basis of speed is 1=2=3=4=5=6
All speed that is faster than light is the same. When a charged particle and an antiparticle annihilate one another, energy can create both positive and negative charges, +q and q. If both +q and q are 0, it follows that m must also be 0.
When, in order to conserve energy, an electron and positron annihilate to produce two genuine photons with mass zero that depart with the same energy as the electron-positron pair.
Additionally, contrary charges and timings must cancel. As opposed to the positron, which travels time backward, the electron pushes time forward. Time cancels out, as a result, creating two photons that travel at the speed of light while maintaining the illusion of time standing still.
Nuclear weapons have been theorized to be triggered by antimatter, and thermonuclear energy may be produced with it.
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Luke is part of a team test with changing the wires and electrical fitness in a basement. The earlier team has been working in a confined space for eight hours what Shaluka his team do to ensure
Luke is part of a team test with changing the wires and electrical fitness in a basement. The earlier team has been working in a confined space for eight hours. To ensure safety, they should D. use safety helmets
What is a safety element?Safety helmets, also known as hard hats, are intended to shield the head from flying and falling objects as well as from impacts such as bumps, scratches, and electrical arcs. They also serve to protect the side of the head, the eyes, and the neck from harm.
A safety helmet must be worn at all times while working. Your head is better shielded from shock, impact, and severe injury. Simply put, wearing a helmet lowers your risk of death and serious brain injuries because the helmet absorbs the majority of the impact energy during a fall or collision rather than your head and brain.
Therefore, based on the information given, the correct option is D.
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Which of the following is not a description of a closed system?
• An object that is not influenced by external effects
• A mix of objects that interact with any other object
The behaviour of a collection of objects depends only on the other objects in the
collection
A group of objects that don't interact with any other objects
Answer:
A mix of objects that interact with any other object is not a description of a closed system. A closed system is an isolated system that does not exchange matter or energy with its surroundings. In other words, a closed system is an object or a collection of objects that is not influenced by external effects and does not interact with any other objects.
pls mark as brainliest!
Explanation:
What is surface tension?
give examples
Surface tension is a property of a liquid that allows it to resist an external force. It is caused by the cohesive forces between molecules in the liquid, which tend to draw the molecules together and make the surface of the liquid behave as if it were a stretched membrane or elastic skin.
Examples of surface tension include:
The ability of a liquid to form a droplet or a bead when it is placed on a surface. The surface tension of the liquid helps to hold the droplet together and prevent it from spreading out.
The ability of a liquid to flow through a small hole or capillary tube. The surface tension of the liquid helps to pull it through the small opening.
The ability of insects such as water striders to walk on water. The surface tension of the water helps to support their weight.
The ability of soap bubbles to hold their shape. The surface tension of the soap solution helps to keep the bubble walls stretched and maintain the bubble's round shape.
The ability of mercury in a thermometer to form a thin, stable column. The surface tension of the mercury helps to keep it together and prevent it from spreading out.
when the overcurrent protection for a conductor is located on the load end rather than the supply side of a conductor it is considered to be a(n) .
When the overcurrent protection for a conductor is located on the load end rather than the supply side of a conductor it is considered to be a tap conductor.
The National Electrical Code (NEC), the benchmark for safe electrical design, installation, and inspection to protect people and property from electrical hazards, defines a tap conductor as a conductor, other than a service conductor, that has overcurrent protection rated more than the ampacity of a conductor. A tap conductor has overcurrent protection ahead of its point of supply that exceeds the value permitted for similar conductors that are protected as described in NEC 240.4. Hence, when the overcurrent protection for a conductor is located on the load end rather than the supply side of a conductor it is considered to be a tap conductor.
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You are given two circuits with two batteries of emf EMF and internal resistance R1 each. Circuit A has the batteries connected in series with a resistor of resistance R2, and circuit B has the batteries connected in parallel to an equivalent resistor.
What is the current through the resistor of resistance R2 in circuit A?
Express your answer in terms of Emf, R1, and R2
Calculate the current IB through the resistor of resistance R2 for circuit B.
Express your answer in terms of Emf, R1, and R2
What is the power dissipated by the resistor of resistance R2 for circuit A, given that Emf=10V, R1=300ohms, and R2=5000ohms?
The current flowing through the circuit A is IA = 2ε/(R1 + R2)
b) IB = 2ε/(2R2 + R1) c) P = 0.064
The equivalent resistance of the circuit A in series is calculated as follows;
Re = r1 + r2
The emf of the battery connected to circuit A
emf = e
The current flowing through the circuit A is calculated as follows;
I = V / R
I = e / r1 + r2
Total resitance in circuit A = Req = R1+R1+R2 =2R1 + R2
total emf in circuit A = 2E
I = 2E/Req
I = 2E/(2R1+R2)
given : E = 10 V
R1 = 300 ohm
R2 = 5000 ohm
since connection is in series so current remain same across resistors
I = 2*10/(2*300 + 500)
I = 3.57 x 10^-3 A
power dissipated by R2
P = I^2*R2
P = (3.57 x 10^-3)^2 * 5000
P = 0.064
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An AC generator has a maximum output emf of 4.20 x 102 V. What is the rms emf? (Remember AVms = 0.707Vmax)
a. 3 V
c.
297 V
b.
594 V
d.
30 V
Please select the best answer from the choices provided
Ο Α
Mark this and return
4
The rms emf of the AC generator is 297 Volt. Hence, option (C) is correct.
What is emf?Energy is transformed from one form to another using a generator or a battery. One terminal in these gadgets charges up positively, whereas the other charges up negatively. Therefore, work performed on a unit of electric charge constitutes an electromotive force.
Given that: the maximum output emf of the AC generator:
V₀ =4.20 x 10^2 V.
Hence, r.m.s output emf of the AC generator:
[tex]V_{rms[/tex] = V₀/√2
= 4.20 x 10^2/√2 Volt
=297 Volt.
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use chebyshev to estimate the number of coin flips you need to take to be 95% sure you know which coin was chosen.
We may calculate the proportion of data values that are 1.5 standard deviations or more from the mean using Chebyshev's rule in statistics. Alternately, we can calculate the proportion of data values that deviate by 2.5 standard deviations from the mean.
What does a 75% Chebyshev interval mean?
Therefore, Chebyshev's Theorem informs you that at least 75% of the values lie within the range of 100 20, or 80 to 120. In contrast, no more than 25% of cases fall outside of that range. 1.41 standard deviations is an intriguing range.
What does the Chebyshev inequality tell us?
According to Chebyshev's inequality, 75% of values are found within two standard deviations of the mean, and 88.9% are found within three standard deviations of the mean. It is true for.
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the projected sea level rise by 2100 is predicted to result in the irreversible degradation and loss of coastal estuaries, wetlands, and coral reefs. group of answer choices 3/4 2/3 1/3 1/2 1/4
1/3 the loss and irreversible damage of coral reefs, wetlands, and coastal estuaries.
Which four types of estuaries are there?Estuaries are often categorized according to their underlying geology or their geologic origin. According to their geology, estuaries can be divided into four main categories: tectonic, bar-built, drowned river valleys, and fjords.
Significance of coastal estuaries?Because so many species of animals rely on ports for breeding and nesting, they are frequently referred to as the "nurseries of the sea." Chinook, herring, and oysters all spend at least a portion of their lives in estuaries, as do the majority of fish and shellfish consumed in the US.
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boyle's law states that when a sample of gas is compressed at a constant temperature, the pressure p p and volume v v satisfy the equation p v
The volume is decreasing by 80cm³/min.
What does Boyle's law mean in?Boyle's Law is a fundamental chemical principle that describes how a gas behaves when it is kept at a fixed temperature. The law asserts that at a certain temperature, the volume of a gas is inversely proportional to the pressure it exerts (Robert A. Boyle found this rule in 1662).
How to calculate rate of volume decreasing?Given, V = 600 cm³
Pressure P = 150 KPa
dP/dT = 20 KPa/min
now, V × dP/dT + P × dV/dT = 0
600×20 + 150 × dV/dT = 0
dV/dT = -1200/150
dV/dT = -80 cm³/min
The -ve sign indicates that volume is decreasing.
Therefore, volume is decreasing at a rate of 80 cm³/sec.
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The complete question is as follows;
Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P and the volume V satisfy the equation PV=C, where C is a constant. Suppose that at a certain instant the volume is 600cm3, the pressure is 150 kPa, and the pressure is increasing at a rate of 20 kPa/min. At what rate is the volume decreasing at this instant?
Which of the following is not one of Hubble's types of galaxies?
A. normal spirals
B. barrel spirals
C. Seyfart spirals
D. irregular type II
E. dwarf ellipticals
c
The following Seyfart spiral galaxy is not one of Hubble's types of galaxies.
It has hundreds of billions of stars, enough gas and dust to create billions more stars, and at least ten times as much dark matter as all the stars and gas combined, making our galaxy, the Milky Way, typical. Gravity also keeps everything in place.
The Milky Way is spiral-shaped, just like more than two-thirds of all known galaxies. There is a lot of energy and occasionally bright flares being produced in the spiral's center. Astronomers come to the conclusion that the Milky Way's core is a supermassive black hole based on the enormous gravitational force that would be necessary to account for star motion and energy released.
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two balls of the same mass are thrown towards a wall and collide with it moving with a speed of 5 m/s. ball a hits the wall and rebounds with a speed of 4 m/s. ball b hits the wall and stops. assume that the collisions times are the same for each ball. compared to ball b, ball a has velocity change, momentum change, and impact force.
When two identically sized balls are thrown against a wall at a speed of 5 m/s, they clash. Ball A strikes the wall and bounces back with a 4 m/s speed. The ball B stops after striking the wall. Assume that each ball's collision times are the same.
Compared to ball B, ball A has a greater velocity change, a greater momentum change, and a greater impact force.
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air flows through a heating duct with a square cross-section with 6-inch sides at a speed of 5.9 ft/s. just before reaching an outlet in the floor of a room, the duct widens to assume a square cross-section with sides equal to 15 inches. compute the speed of the air flowing into the room (in ft/s), assuming that we can treat the air as an incompressible fluid
The duct enlarges until it takes on a square cross-section with sides of 15 inches. Considering that the air can be regarded as an incompressible fluid V₂ is 0.94 ft/sec.
By the equation of continuity
(Rate of volumetric flow rate is constant)
A₁v₁ = A₂v₂
(6×6)×5.9(inch²ft/sec) = (15×15)×v₂
V₂ = 5.9(36/225) ft/sec
V₂ = 0.944 ft/sec
In fluid dynamics, or more broadly in continuum mechanics, an incompressible fluid (also known as an isochoric flow) is a flow in which the material density within a fluid parcel—an infinitesimal volume that moves with the flow velocity—remains constant. The idea that the flow velocity has zero divergences is comparable to the idea that incompressibility exists (see the derivation below, which illustrates why these conditions are equivalent).
The fact that fluid flows incompressibly does not mean that it cannot be compressed. In the derivation that follows, it is demonstrated that even compressible fluids can be roughly described as incompressible flow under the appropriate circumstances. If a fluid parcel flows with the flow velocity, it is said to have incompressible flow, meaning the density stays constant.
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a small em-wave source (i.e. a small collection of charges which is vibrating in simple harmonic motion having a known frequency) radiates an electromagnetic wave into the vacuum of space itself. of course, the electromagnetic wave consists of blocks of magnetic and electric fields which are leaving the vibrating source; these blocks of electric and magnetic fields leave the source in all possible directions (i.e. nothing has been done by the designers of the source to form the wave into a tight beam). as the wave moves away from the source, determine what happens to each of the following: a) the frequency of the electromagnetic wave o increases o decreases O remains constant (b) the intensity of the electromagnetic wave increases o decreases O remains constant Give your reasoning as briefly as possible
rises or reductions in electromagnetic wave frequency Decide what happens to each as O stays constant as the wave travels away from the source.
How are electromagnetic waves produced?The two are interconnected; a shifting magnetic field will result in a shifting electric field, and the opposite is true. These fluctuating fields emit electromagnetic waves. In order to travel, mechanical waves require a medium, but electromagnetic waves do not.
Why are they known as electromagnetic waves?In other words, oscillating magnetic and electric fields are what make up electromagnetic radiation (EM). Electromagnetic waves are produced when a magnetic field interacts with an electric field. It is referred to as "electromagnetic waves" to describe them.
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betelgeuse is a very large/bright star located about 500 light years away. if a similar star is located at 2000 light years away, its relative brightness, compared to betelgeuse, would be which of the following?
Betelgeuse is a very large/bright star located about 500 light years away. if a similar star is located at 2000 light years away, its relative brightness is 1/16, option (a) is correct, compared to Betelgeuse.
The brightness of a star, as seen from Earth, is determined by its luminosity (the amount of energy it emits) and its distance from Earth. As a star gets further away, its apparent brightness (the amount of light it appears to emit) decreases. To compare the relative brightness of two stars, you can use the inverse square law, which states that the intensity of a point source of light (such as a star) is inversely proportional to the square of the distance from the source. In other words, if a star is located twice as far away as another star, its apparent brightness will be 1/4 of the other star's apparent brightness. In this case, the star located at 2000 light years away is four times further away from Earth than Betelgeuse, which is located 500 light years away. Therefore, according to the inverse square law, the relative brightness of the star located at 2000 light years away compared to Betelgeuse would be 1/4 x 1/4 = 1/16. In other words, the star located at 2000 light years away would appear to be 16 times dimmer than Betelgeuse.
So, the correct answer is "1/16".
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Question - Betelgeuse is a very large/bright star located about 500 light years away. if a similar star is located at 2000 light years away, its relative brightness, compared to Betelgeuse, would be which of the following?
(a) 1/16, (b) 1/2, (c) 1/35, (d) 1/15
Steam to drive an old-fashioned steam locomotive is supplied at a constant gauge pressure of 1.75x10° N/m (about 250 psi) to a piston with a 0.200-m radius. (a) By calculating PAV, find the work done by the steam when the piston moves 0.800 m. Note that this is the net work output, since gauge pressure is used. (b) Now find the amount of work by calculating the force exerted times the distance traveled. Is the answer the same as in part (a)?
The work done by the steam when the piston moves 0.800 m is 1.75×10⁵ J and the amount of work by calculating the force exerted times the distance traveled is 1.85×10⁵ J. From this, the work done by the second part is more than the initial one. So they are not the same.
The work produced by the compression or expansion of fluid is known as pressure-volume work. Gas molecules gain kinetic energy when energy is added, which causes the gas to expand and affect its surroundings. The work is calculated using the formula W=pΔV where p is pressure, W is work done and ΔV is the change in the volume.
Given the gauge pressure (Pg) of the steam locomotive is 1.75×10⁶ N/m², the radium of piston r is 0.200 m, and the distance moved by the piston l is 0.800 m.
a) First, calculate the ΔV.
ΔV = area×distance
ΔV = πr²×l
ΔV = π×(0.20)²×0.80
ΔV = 0.1 m³
Then, the work done will be,
W = 1.75×10⁶× 0.1
W = 1.75×10⁵ J
The required answer is 1.75×10⁵ J.
b) The absolute pressure is given by the sum of gauge pressure and the atmospheric pressure, i.e., P=P₀+Pg. Then,
P = 1.01×10⁵ + 1.75×10⁶
P = 18.5×10⁵ Pa.
The force is calculated as,
F = P×A
F = 18.5×10⁵×π×(0.20)²
F = 232477 N
The work done by the piston is calculated as,
W = Force×distance
W = 232477×0.80
W = 1.85×10⁵ J
The required answer is 1.85×10⁵ J.
The answer for the first and second parts are not the same.
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Applying the Newton's version of Kepler's third law (or the orbital velocity law) to the a star orbiting 40,000 light-years from the center of the Milky Way Galaxy allows us to determine
a. the total mass of the entire Milky Way Galaxy.
b. the mass of the black hole thought to reside in the center of the galaxy.
c. the percentage of the galaxy's mass that is made of dark matter.
d. the mass of the Milky Way Galaxy that lies within 40,000 light-years of the galactic center.
The center of Milky Way Galaxy allows us to determine (d) mass of the Milky Way Galaxy that lies within 40,000 light-years of the galactic center.
What is Kepler's Third Law (Orbital Velocity Law) ?
The Orbital Velocity Law states that the orbital velocity is directly proportional to the body's mass for which it is being calculated and inversely proportional to the body's radius.
orbital velocity is the speed at which one body orbits the other body .
The term "orbit" refers to an object's consistent circular motion around the Earth.
From the above data , we can conclude that ,
A star orbiting 40,000 light-years from the center of the Milky Way Galaxy helps us to determine the mass of the Milky Way Galaxy that lies within 40,000 light-years of the galactic center.
Therefore , the correct option is (d) .
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When a railroad train rounds a banked track, the centripetal force needed comes from friction, but from the..
a. normal force
b. vertical component of the normal force
c. horizontal component of the normal force
d. none of the above
The correct answer is "c. horizontal component of the normal force." When a railroad train rounds a banked track, the centripetal force needed comes from friction, but from the horizontal component of the normal force.
It is the component of the normal force that acts perpendicular to the direction of motion. The normal force is the force exerted by a surface on an object that is in contact with it. It acts perpendicular to the surface and helps to support the weight of the object. In the case of a train rounding a banked track, the normal force acts perpendicular to the surface of the track and helps to keep the train from sliding off the track.
The horizontal component of the normal force is the component of the normal force that acts in the direction of motion. It acts parallel to the surface of the track and helps to provide the centripetal force needed to keep the train moving in a circular path.
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in an rlc circuit that includes a source of ac current operating at a fixed frequency and voltage, the resistance r is equal to the inductive reactance. if the plate separation of the parallel-plate capacitor is reduced to one-half of its original value, the current in the circuit doubles. find the original capacitive reactance in terms of r.
When the current in the circuit is double of its initial value and separation is half then the original capacitive reactance in terms of r is 3r.
Capacitive Reactance is the relationship between reactance, frequency and capacitance. Resistance is unaffected by the rate of change of voltage or current and remains the same whether DC, or AC of any frequency is applied.
In a purely resistive circuit Ohms law applies and V= IR. Calculations of resistance in AC circuits are the same as for DC. The only extra thing to remember when calculating AC values, is that the same type of value, e.g. the RMS, Average value, or the peak-to-peak value must be used for all AC voltages or currents throughout the equation.
Inductance and capacitance however, have an effect on current that depends on frequency, and when either component is used with AC voltages and currents, then the frequency of the waveform must be taken into account.
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The gravitational force of a star on an orbiting planet 1 is F1. Planet 2, which is twice as massive as planet 1 and orbits at twice the distance from the star, experiences gravitational force F2.
Part A
What is the ratio F2F1? You can ignore the gravitational force between the two planets.
Express your answer using two significant figures.
The ratio of F₂ : F₁ is 1 : 2
Newton's gravitation law states that the force of attraction between two objects can be formulated as follows:
F= Gm₁m₂/r²
F = Gravitational Force ( Newton )
G = Gravitation Constant ( 6.67 × 10⁻¹¹ Nm² / kg² )
m = Object's Mass ( kg )
R = Distance Between Objects ( m )
Gravitational force on planet 1 = F₁
Gravitation force on planet 2 = F₂
mass of planet 1 = m₁
mass of planet 2 = m₂ = 2m₁
distance between planet 1 and star = R₁
distance between planet 2 and star = R₂ = 2R₁
ratio of force = F₂ : F₁ = ?
F₂ : F₁ = GMm₁/r₁² : GMm₂/r₂²
F₂ : F₁ = m₁/r₁² : m₂/r₂²
F₂ : F₁ = 2m₁/(2r₁)² : m₁/r₁²
F₂ : F₁ = (2/4) : 1
F₂ : F₁ = (1/2) : 1
F₂ : F₁ = 1 : 2
Therefore, the ratio of gravitation forces F₂ : F₁ is 1 : 2.
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1. What is an ellipse, and why are they Important in the study of celestial bodies?
Answer:
Ellipses are required in engineering, architectural, and machine drawings for two main reasons. First, any circle viewed at an angle will appear to be an ellipse. Second, ellipses were common architectural elements, often used in ceilings, staircases, and windows.
The ellipse is one of the four classic conic sections created by slicing a cone with a plane. The others are the parabola, the circle, and the hyperbola. The ellipse is vitally important in astronomy as celestial objects in periodic orbits around other celestial objects all trace out ellipses.
In an analysis of variance problem involving 3 treatments and 10 observations per treatment, SSE = 399.6. The MSE for this situation is which?
The MSE for the given situation is 14.8 if SSE for variance problem is 399.6
In insights, the mean squared error (MSE) or mean squared deviation (MSD) of an assessor (of a system for assessing an unseen amount) gauges the normal of the squares of the mistakes — that is, the typical squared contrast between the assessed values and the real worth. MSE is a gamble capability, relating to the normal worth of the squared mistake misfortune
We know very well that MSE=SSE / r×(c-1)
where r is defined as the number of treatments
and c is defined as the total number of treatments
MSE=Variance within the sample
SSE=Sum of squares of the error
We have values of SSE=399.6,r=3 and value of c=10.
According to the question, so on putting the values, we get
=>MSE=399.6/3(10-1)
=>MSE=399.6/(3×9)
=>MSE=399.6/27
=>MSE=14.8
Hence, the MSE for the analysis would be 14.8
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List 2 reasons what metals and non metals have in common.
Two things metal and nonmetals have in common are: 1.Metals and nonmetals are elements and thus are made of atoms.
2. The atomic structures of metals and nonmetals are similar as they have a nucleus with orbiting electrons.
a pot falls from a ledge and hits the ground 45m below. The speed with which it hits the ground is.
Given that the flower pot's height is 45 meters, the speed at which it will hit the ground is v = 29.69 m/s.
We are aware that kinetic energy is equivalent to KE=1/2mv2, where v is the pot's velocity.
Utilizing the law of conservation of energy, potential energy PE = mgh with v = 29.69 m/s and KE = PE 1/2mv2=mgh
V = 29.69 m/s is the speed at which the pot impacted the earth.
What does a scientific energy mean?The definition of energy is the "capacity to accomplish work, which is the ability to apply a force producing the displacement of an item." Despite this unclear description, energy simply refers to the power that propels motion. There are two categories of energy: potential and actual.
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Consider a uniformly charged ring in the xy plane, centered at the origin. The ring has radius a and positive charge q distributed evenly along its circumference.1. What is the magnitude of the electric field along the positive z axis? Use k in your answer, where k= 1/4piepsion not.( E(z)=? )2.The ball will oscillate along the z axis between z=d and z=-d in simple harmonic motion. What will be the angular frequency omega of these oscillations? Use the approximation d ll a to simplify your calculation; that is, assume that d^2 + a^2 similar a^2.Express your answer in terms of given charges, dimensions, and constants. ( What is value of omega)
The magnitude of the electric field along the positive z axis is kqz/√(z^2+a^2)^3/2 , the angular frequency of these oscillations is √(kqq0/ma^3)
1. Given that a uniformly charged ring in the xy plane, centered at the origin.
Radius of the ring(r) = a
positive charge distributed evenly along its circumference = q
k= 1/4piepsion
The electric field can be described as, E = kq/r^2
The force exerted on an electric charge by a charge is F = q0E
Any vector can be projected along the z = A(z)=Acosθ
We know that ∑F =ma
Acceleration along z axis = a =d^2z/dt^2
The equation of motion for a simple harmonic oscillation along z is d^2z/dt^2 = -ω^2z
Here, ω is the cosine function in a right-angled triangle is cosθ = z/√(z^2+a^2)
dE(z)=dEcosθ we know that E = kq/z^2+a^2
To calculate the magnitude of the electric field caused by complete rings, integrate dE(z)=dEcosθ
E(z) = Ecosθ = kq/(z^2+a^2) x z/√(z^2+a^2)
E(z) = kqz/(z^2+a^2)^3/2
2. We know that F= q0E = kqq0z/(z^2+a^2)^3/2
Given The ball will oscillate along the z axis between z=d and z=-d in simple harmonic motion. Let z =d
F = kqq0d/(d^2+a^2)^3/2 = kqq0d/a^3
Force at any point along z = - kqq0z/a^3
We know F = ma =
- kqq0z/a^3 = md^2z/dt^2
d^2z/dt^2= - kqq0z/ma^3
This equation of motion can be compared with the equation of motion for simple harmonic motions to find the angular frequency.
ω =√(kqq0/ma^3)
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Consider a beam with a solid circular cross section. Determine the magnitdue of the maximum shear stress due to bending.
d=0.5 mVmax=580kN
The magnitude of the maximum shear stress due to bending. is 1160 kN
Shear stress, frequently denoted through τ, is the component of pressure coplanar with a fabric move segment. It arises from the shear force, the component of the pressure vector parallel to the fabric move segment.
Shear strain is the force tending to motive deformation of fabric by means of slippage along a plane or planes parallel to the imposed strain. the resultant shear is of brilliant significance in nature, being in detail associated with the downslope movement of earth materials and to earthquakes.
The shear stress is defined to be the ratio of the tangential pressure to the move sectional location of the floor upon which it acts.
Calculation:-
Shear stress = Vmax / d
= 580kN / 0.5
= 1160 kN
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