Figure 23-35 shows a closed Gaussian surface in the shape of a cube of edge length 2.00 m,with one corner at x1 5.00 m,y1 4.00 m.The cube lies in a region where the electric field vector is given by
The net charge contained by the cube lies in a electrical field vector region is 1.7 x 10^-19 C.
How is the Gauss law defined?The electric flux over any closed surface is directly proportionate to the net electric charge q enclosed by the surface, according to Gauss's law of electricity, that also says as = q/0, where 0 is the electric permittivity of free space, which has a value of 8.854 10-12 square coulombs per newton per square metre.
Electric field vector:
E =−3.00i−4.00y^2j+3.00kN/C
Faces +j direction: A = 4m2
E => (-4)x (4^2) x 4 => -256 N.m/c^2
Faces -j direction: A= 4m2
E => (-4) (2^2) x 4 => 64 N.m/c^2
Net flux => Ф=> -256 N.m/c^2 + 64 N.m/c^2 = -192 N.m/c^2.
gauss's law
εox Ф => 8.85 x 10^-12 c^2/nm^2 x 192 N.m/c^2
=> 1.7 x 10^-19 C
What is a vector of an electric field?A vector quantity that exists at every point in space is the electric field E with the vector on top. The force that would be exerted on a unit positive test charge if it were placed at a certain location is indicated by the electric field there.
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A ball with a horizontal speed of 1.25 m/s rolls off a bench 1.00 m above the floor.A. How long will it take the ball to hit the floor?B. How far from a point on the floor directly below the edge of the bench will the ball land?
Time to impact the ground is 0.45 seconds. It will land 0.56 meters away from the table. The bullet appears to be traveling straight forward without changing directions, according to the horizontal speed.
How is the horizontal speed determined?By measuring the ball's diameter d and dividing it by the time t it takes for it to cross the photogate, one can also calculate the ball's starting horizontal velocity. Therefore, Vo = d/t.
Is speed horizontal velocity?Typically, horizontal velocity is defined as horizontal displacement divided by time, expressed in units like meters per second or miles per hour. Simply put, displacement is the distance an object has traveled since leaving a starting location.
y=Vyi t + 1/2 gt²
1 = o+ 1/2 ×9.8×t²
1=4.9 ×t²
t²= 1/4.9= 0.204081633
==> t = 0.45 sec
x= Vx× t
Here
Vx = 1.25 m/sec
t= 0.45 sec
x= 1.25 × 0.45 = 0.56 m
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pherical gaussian surfaces of equal radius r surround two spheres of equal charge q. which gaussian surface has the larger electric field?
The electrical field on the second surface is larger when two identically charged spheres are encircled by identically sized gaussian surfaces. as a result of the second surface's larger area.
The electric field is described as a vector field, where each point in space is associated with the electrostatic (Coulomb) force per unit of charge. This description is based on an infinitesimal positive test charge at rest. The volt per metre (V/m) is the derived SI unit for the electric field, the newton per coulomb (N/C). In the end, the electrical field that both charges create around them is what drives the force that the two charges apply to one another.
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cray-zee is speeding along at 25.5 m/s as she approaches the level section of track near the loading dock of the whizzer roller coaster ride. a braking system abruptly brings the 356-kg car (rider mass included) to a speed of 3.6 m/s over a distance of 6.22 meters. determine the magnitude (positive answer) of the braking force applied to cray-zee's car.
The magnitude of the braking force (braking system abruptly brings the 356-kg car (rider mass included) to a speed of 3.6 m/s over a distance of 6.22 meters.) applied to cray-zee's car = 18,231 N
The force that slows the car when the driver depresses the brake pedal is known as the braking force.
It is impossible to directly quantify this well-known force since it operates on tires that are in touch with the ground, without which nothing would be possible.
It is still feasible to determine its severity, though. You simply need to know the car's mass and its rate of deceleration, then combine the two.
W = [tex]\frac{1}{2}[/tex] mv₁² - [tex]\frac{1}{2}[/tex] mv₀²
= [tex]\frac{1}{2}[/tex] (356) (25.5)² - [tex]\frac{1}{2}[/tex] (356) (3.6)²
= 115,744 - 2,306
= 113,438 J
Hence, the magnitude of the braking force:
W = F x d
113,438 J = F x 6.22
F = 18,231 N
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a vehicle travels at 50 mi/hr for 3 hours, then at 25 mi/hr for 30 minutes. determine the average velocity of the driver in feet per second. (68.1 fps)
The average velocity of the driver is 80.7 fps. The result is obtained by dividing the displacement by the change in time.
What is average velocity?Average velocity is the displacement or change in position of an object (∆x) divided by the change in time (∆t). It can be expressed as
V avg = Δx/Δt
Where
V avg = average velocityΔx = displacementΔt = change in timeThe formula of position can be counted as
x = vt
A vehicle travels at
v₁ = 50 mpht₁ = 3 hv₂ = 25 mpht₂ = 30 minutes = 0.5 hFind the average velocity in feet per second!
We find the position x₁ and x₂.
x₁ = v₁t₁ = 50(3) = 150 mile
x₂ = v₂t₂ = 25(0.5) = 12.5 mile
The average velocity would be
V avg = Δx/Δt
V avg = (x₁ - x₂)/(t₁ - t₂)
V avg = (150 - 12.5)/(3 - 0.5)
V avg = 137.5/2.5
V avg = 55 mph
V avg = 55 × 5280/3600 fps
V avg = 80.7 fps
Hence, the average velocity of the vehicle is 80.7 feet per second.
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with the use of the hubble space telescope, scientists recently discovered a giant runaway star. it is 90 times larger than the sun and is very hot and blue-white in color. why does the sun appear to be brighter than this runaway star when viewed from earth?
The runaway star is farther away from Earth than the sun. the sun is closer to Earth than the runaway star if it seems brighter than the star and the star is 90 times bigger than the sun.
What is a runaway star?An exceptionally high proper motion, known as a runaway star, is a star that was supposed to have been ejected from a nearby binary system when its companion star exploded supernova. Beyond the Milky Way, these runaway stars seem to be widespread, especially in massive galaxy clusters.
Astronomers have found hundreds of billions of runaway stars in the Virgo cluster. The Milky Way's sun and all of its stars are revolving around its nucleus. Although there are some little local motions within this broader stream of stars, it is largely orderly. Compared to the sun, the runaway star is closer to Earth.
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Ultrasound waves are used to measure blood- flow speeds. Suppose a device emits sound at 500 kHz, and the speed of sound in human tissue is taken to be 1540 m/s. What is the expected beat frequency if blood is flowing normally in large leg arter- ies at 2.0 cm/ s directly away from the sound source? How can you connect this analogue to the radars for example?
Answer: if 500 kHz was to be used in sound of a human tissue. Yes it would be taken into 1540 m/s. BUT, if you were to add 500 plus 1540 then you can get your answer
an earth satellite moves in a circular orbit at a speed of 4500 m/s.What is its orbital period?
An earth satellite moves in a circular orbit at a speed of 4500 m/s its orbital period is 7.665h
What is Newton's gravitational law?Generally, Newton's gravitational law states that the force of attraction between two objects can be formulated as follows:
[tex]F=G \frac{m_1 m_2}{R^2}[/tex]
F = Gravitational Force ( Newton )G = Gravitational Constant ( 6.67 × 10⁻¹¹ Nm² / kg² )m = Object's Mass ( kg )R = Distance Between Objects ( m )Let us now tackle the problem
Given:
speed of satellite = v = 4500 m/s.
mass of earth = M = 6 × 10²⁴ kg
[tex]\begin{aligned}& \Sigma F=m a \\& G \frac{M m}{R^2}=m \frac{v^2}{R} \\& G \frac{M}{R^2}=\frac{v^2}{R} \\& G \frac{M}{R}=v^2 \\& R=G \frac{M}{v^2} \\& 2 \pi R=2 \pi G \frac{M}{v^2} \\& \frac{2 \pi R}{v}=\left(2 \pi G \frac{M}{v^2}\right) \div v \\& T=2 \pi G \frac{M}{v^3}\end{aligned}[/tex]
[tex]& T=2 \pi \times 6.67 \times 10^{-11} \times \frac{6 \times 10^{24}}{5000^3} \\[/tex]
T =27594.3 s
T =7.665h
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Which of these molecular electron configurations describe an excited state? Check all that apply. (σ1s)^2 (σ1s )^2 (σ2s)^2 (σ2s )^2 (pi 2p)^4 (pt 2p )^1 (σ1s)^2 (σ1s )^2 (σ2s)^2 (σ2s )^1(σ1s)^2 (σ1s )^2 (σ2s)^2 (σ2s )^2 (σ2p)^2 (pt 2p )^4 (σ1s)^2 (σ1s )^2 (σ2s )^1
The molecular electron configurations describe an excited state are listed below.
What is electronic configuration?
Electronic configuration, also known as electronic structure or electron configuration, refers to the way that electrons are arranged in orbitals around an atomic nucleus.
What is excited state?
An excited state of an electron is one in which it momentarily possesses an energy state higher than its ground state. If an electron receives extra energy, for as via absorbing a photon, or packet of light, or from colliding with an atom or particle nearby, it might become excited.
The increasing energy of the molecular orbits (electrons < 16) according to the molecular orbital theory is:
σ1s < σ*1s < σ2s < σ*2s < σ2px < π2py = π2pz < π*2py = π*2pz <σ*2px
(a) Given:
(σ1s)2(σ*1s)2(σ2s )2(σ*2s)2(π2p)4(π*2p)1
This is an excited state because the electronic configuration given is not filled in increasing energy orbitals which should be the way of filling in ground state as there is no electron in σ2px but upper orbitals has electrons which means that it is an excited state.
(b) Given:
(σ1s)2(σ*1s)2(σ2s )1(σ*2s)1
This is an excited state because the electronic configuration given is not filled in increasing energy orbitals which should be the way of filling in ground state as there is only one electron in σ2s and it can accommodate 1 more electron but upper orbitals has electrons which means that it is an excited state.
(c) Given:
(σ1s)2(σ*1s)2(σ2s )2(σ*2s)2(σ2p)2(π2p)4
This is a ground state because the electronic configuration given is filled in increasing energy orbitals which should be the way of filling in ground state.
(d) Given:
(σ1s)2(σ*1s)2(σ*2s)1
This is an excited state because the electronic configuration given is not filled in increasing energy orbitals which should be the way of filling in ground state as there is no electron in σ2s but upper orbitals has electrons which means that it is an excited state.
Therefore, molecular electron configurations describe an excited state are listed above.
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determine the orbital speed of a satellite that is orbiting the earth at an altitude where the gravitational acceleration is 8.70 m/s2.
The orbital speed of a satellite that is orbiting the earth at an altitude where the gravitational acceleration is 8.70 m/s^2 is 7.68×10^3m/s.
Given the centripetal acceleration of satellite (a) = 8.70 m/s^2
The mass of earth (M) = 5.98×10^24 kg
Let the radius of satellites orbit = R
The satellites orbital speed = v
We know that the satellite's centripetal acceleration (a = v²/R ) is equal to its gravitational acceleration.
v²/R = GM/R² here G is the gravitational constant 6.674×10-11 m3⋅kg-1⋅s-2
v² = GM/R
From centripetal acceleration we have R = v²/a. Then,
v² = GMa/v²
v = (GMa)^1/4
v = (6.674×10^-11 x 5.98×10^24 x 8.70)^1/4 = 7.68×10^3m/s
Hence the orbital speed of a satellite is 7.68×10^3m/s
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a 0.500-kg mass attached to a spring with a force constant of 8.00 n/m vibrates in simple harmonic motion with an amplitude of 10.0 cm. calculate (a) the maximum va
The maximum volt-ampere(va) is 0.40 m/s.
What is force?An influence that can alter an object's motion is called a force. A force can cause an object with mass to change its velocity or accelerate. (for example, moving from a state of rest). Intuitively, a push or a pull can also be used to describe force.
Given,
mass=0.500 kg
force=8.00 n/m
amplitude= 10.0 cm
The maximum velocity of the mass can be calculated using the equation:
max v= A * ω
where A is the amplitude of the motion (in meters) and ω is the angular frequency of the motion (in radians per second).
We can find angular velocity using the equation:
ω = sqrt(k/m)
where k is the force constant of the spring (in newtons per meter) and m is the mass of the object (in kilograms).
Substituting in the given values:
ω= sqrt(8.00 N/m / 0.500 kg) = 4 rad/s.
A = 0.10 m (converting the amplitude from cm to m)
So,v_max = A * ω = 0.10 m * 4 rad/s = 0.40 m/s.
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Several shots were fired during a concert downtown. The performing musician received minor injuries, and no one else was injured. The musician is now suing the city for not providing proper security for the event. The musician has had financial trouble after leaving a successful boyband, and there are rumors that the musician organized the shooting so he could collect money from the lawsuit. A tree near the stage was found with several bullet holes, and it was determined the shots could not have come from the crowd. The musician owns the penthouse in the apartment building in front of the concert venue, so forensic analysts want to determine if the shots could have come from there. The penthouse is on the sixth floor, which is 85 feet from the ground. The building is 60 feet from the tree. Using the measurements from the crime scene, show your math to determine if the shooter came from the penthouse.
Answer:
Explanation:
To determine if the shooter could have come from the penthouse, we need to calculate the angle of elevation from the penthouse to the tree. We can use trigonometry to do this.
We know that the height of the penthouse is 85 feet, and the distance from the penthouse to the tree is 60 feet. We can use the tangent function to calculate the angle of elevation:
tan(angle of elevation) = opposite / adjacent
opposite = height of penthouse = 85 feet
adjacent = distance from penthouse to tree = 60 feet
tan(angle of elevation) = 85 / 60
angle of elevation = arctan(85/60)
Now we have the angle of elevation, we can determine if the shooter could have come from the penthouse. If the angle of elevation is greater than 90 degrees, the shooter would have had to shoot at an impossible angle, and the shots could not have come from the penthouse.
In this case, the angle of elevation is approximately 62.9 degrees, which is less than 90 degrees. So the shots could have come from the penthouse.
It's important to note that this is a simplified calculation based on the data provided, and it is not a conclusive evidence. A detailed investigation is required to gather all the facts and evidence before determining the shooter's location.
an object is in freefall. it remains in freefall for 5 seconds before it hits the ground. how high was the object when it first started falling if its starting velocity was 0? (acceleration due to gravity is -9.8 meters/second 2).
The height of the object when it first started falling is 0 meters.
The equation used to calculate the height of an object in freefall is h = (1/2)gt2, where h is the height, g is the acceleration due to gravity (9.8 m/s2) and t is the time in seconds.
What is velocity?
Velocity is a vector quantity that measures the rate and direction of an object's motion. It is the rate at which an object's position changes over time, measured in meters per second (m/s).
Since the starting velocity is 0, the height when it first started falling is 0.
h = (1/2)gt2
h = (1/2)(-9.8 m/s2)(5s)2
h = 0 m
Therefore, The height of the object when it first started falling is 0 meters.
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a golf ball rolls off the top flight of concrete steps of total vertical height of 4 m. the ball hits 4 times on the way down, each time striking the horizontal part of a different step 1 m lower. if all collisions are perfectly elastic, what is the bounce height on the 4th bonce when the ball reaches the bottom of the stairs?
The bounce height on the 4th bounce is 1.5 m.
The ball will lose some energy with each bounce, so the bounce height will decrease each time.
Assuming the ball starts from rest and the collisions are perfectly elastic, we can use the conservation of energy to find the bounce height on each bounce.
On the first bounce, the ball will reach a height of:
h1 = mgh/2
where m is the mass of the ball, g is the acceleration due to gravity, and h is the height of the first bounce.
On the second bounce, the ball will reach a height of:
h2 = (mgh/2) / 2
On the third bounce, the ball will reach a height of:
h3 = (mgh/2) / 4
On the fourth bounce, the ball will reach a height of:
h4 = (mgh/2) / 8
So the fourth bounce height will be 1.5 m.
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surface features of venus was mapped with a. data received from rovers on the surface b. uv imaging by the odyssey spacecraft c. data received from multiple probes sent to the surface d. radar imaging by the magellan spacecraft e. observations made from the hubble space telescope
d. radar imaging by the Magellan spacecraft
The surface features of venus were mapped with radar imaging by the Magellan spacecraft.
What was used to map Venus's surface features?Radar was used to scan the scorching surface by NASA's Magellan probe, which completed a five-year mission to Venus in 1994. Magellan observed a region with intense volcanism. The orbiter observed a surface that was geologically speaking quite young, recently altered, and dotted with long chains of high mountains.
What person or thareg is the names of the features on Venus' surface?Venus has "paterae," or craters and volcanic calderas, that are named after notable, real women. All of Venus' features—there are just three exceptions—have female names. They are Maxwell Montes, Alpha Regio, and Beta Regio, named for the early radar pioneer James Maxwell.
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An amusement park ride consists of a rotating
circular platform 12.5 m in diameter from
which 10 kg seats are suspended at the end
of 2.54 m massless chains. When the system
rotates, the chains make an angle of 24.4° with the vertical.
The acceleration of gravity is 9.8 m/s^2.
1. What is the speed of each seat? Answer in units of m/s.
2. If a child of mass 63.6 kg sits in a seat, what is
the tension in the chain (for the same angle)? Answer in units of N.
( 1) The speed of each seat is 6.73 m/s
( 2 ) The tension in the chain is 533.37 N.
What is he speed of each seat?The speed of each seat is determined by treating the system as a simple harmonic motion.
Apply the law of conservation of mechanical energy as shown below.
kinetic energy of each seat at the bottom = potential energy of each seat at the top
K.E = P.E
¹/₂mv² = mgh
v² = 2gh
v = √ ( 2gh )
where;
h is the vertical displacement of the childreng is acceleration due to gravityThe vertical displacement of the seats is calculated from the length of the chain as follows;
h = L cos (24.4)
The speed of each seat is calculated as follows;
v = √ ( 2g L cos (24.4) )
v = √ ( 2 x 9.8 x 2.54cos (24.4) )
v = 6.73 m/s
The tension in the chain is calculated by applying the formula for centripetal force as follows;
T = mv²/r
where;
m is the total mass suspended by the chain = 10 kg + 63.6 kg = 73.6 kgv is the speed of each seat = 6.73 m/sr is the radius of the platform = (12.5 m) / (2) = 6.25 mT = ( 73.6 x 6.73² ) / ( 6.25 )
T = 533.37 N
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when one gallon of gasoline is burned in a car engine, of internal energy is released. suppose that of this energy flows directly into the surroundings (engine block and exhaust system) in the form of heat. if of work is required to make the car go one mile, how many miles can the car travel on one gallon of gas?
The car can travel 28 miles on one gallon of gas. Energy released from burning one gallon of gas = 1 gallon x 31,000,000 BTU/gal = 31,000,000 BTU,Energy released in form of heat = 0.9 x 31,000,000 BTU = 27,900,000 BTU,Work required to make the car go one mile = 0.1 x 31,000,000 BTU = 3,100,000 BTU,Number of miles the car can travel on one gallon of gas = 27,900,000 BTU/3,100,000 BTU = 9 miles,Therefore, the car can travel 9 miles x 3 = 27 miles on one gallon of gas.
What is the miles ?
Miles are a unit of measurement used to measure distances. It is a unit of length in both the imperial and US customary measurement systems. One mile is equal to 1.609 kilometers, 1,760 yards, or 5,280 feet. It is used to measure the distance between two locations, such as cities or towns, as well as for measuring the distance of a journey.
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Which of the following is an example of a velocity?
2 mile/minute
80 miles/hour
9.8 meters/second/second
45 kilometers/hour East
a 2 kg cube of water, initially at rest, is moved upward at a velocity of 4 m/s, eventually coming to rest 300 m higher than its original position. during this process, the water's temperature decreases from 25 to 22 degc. what is the total change in energy of the cube of water? (absolute value in units of j)
The total change in energy of the cube of water is -19228.8 J.
How is energy defined ?The ability to generate a force that causes an item to move is what is meant by the definition of energy as the "power to accomplish work." Although the definition is unclear, the meaning is clear: energy is simply the force that propels things. Potential and kinetic energy are the two kinds of energy.
the solution is -
velocity is also given but if we look for final states so both times it is at rest.
Since it is rest at both positions so the change in energy = m×c×dt + m×g×dz.
Here m = 2 kg.
C = 4185.5 j/kg k.
dt = 22 - 25 = -3
dz = 300 - 0 = 300 m
Total change in energy = -25114.8 + 5886 = -19228.8 J.
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Imagine if astronomers have discovered a new planet next to Jupiter and named it Planet X. The average distance of Jupiter from the sun is about 5 AU and it has an orbital period of 12 years. Astronomers are not sure about how far Planet X is, but they do know that it had an orbital period of about 10 years. What is the average distance of Planet X from the sun in AU?
Answer:
95
Explanation:
because x × au= 69 +26
which means planet x is destroyed
part a) what is the speed vbefore of the girl immediately before she grabs the box?
part b) what is the speed vafter of the girl immediately after she grabs the box?
part d) what is the maximum height hmax that the girl (with box) reaches? Measure hmax with respect to the top of the trampoline.
1) The maximum speed is 4.98 m/s
2) The maximum speed is 3.984 m/s.
3) The maximum height is 2.81 m.
What does velocity have to do with speed?Speed is the rate at which a object travels along a path over time, whereas velocity is the speed & direction of an object's movement. In other words, speed is a scalar quantity, but velocity is a vector.
Part (a) → [tex]v^{2} =vi^{2} -2gh[/tex]
=8^2-2×9.8×2.00
=64-39.2
=24.8
v=4.98 m/s
Therefore, Speed is 4.98m/s upwards
Part (b) → From the conversion of momentum
60×4.98=(60+15)V
v= (60×4.98)/75
=3.984m/s
Therefore, speed is 3.984m/s upwards
Part (d) → Hmax=2.00+((3.984)^2)/2g
Or Hmax =2.00+15.8723/19.6
=2.00+0.81 m
=2.81 m
Therefore, the height Hmax is 2.81 m.
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As two oppositely charged particles approach each other, what happens to the electrical force between them?
As two oppositely charged particles approach each other, the attractive force increases between them.
What kind of force is attractive?Only attraction is possible with gravitational force. It can't be disgusting. But depending on the makeup of the charges or magnetic poles, both electrostatic and magnetic forces can be either attracting or repellent. The external force that draws two separate masses together is referred to as the force of attraction. Gravitation, magnetism, & electric forces are a few examples.
What does chemistry's attractive force mean?A force that attracts the protons or positive parts of one molecule to the electrons or negative parts of another molecule is known as an intermolecular force. A substance's diverse chemical and physical properties are influenced by this force.
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a pendulum clock is in an elevator. the clock will run fast when the elevator is group of answer choices accelerating downward. falling at constant speed. accelerating upward. rising at constant speed.
The clock will run fast when the elevator is accelerating downward.
A pendulum clock is what?A pendulum clock is a timepiece that keeps time by swinging a weight called a pendulum. Because a pendulum is a harmonic oscillator, it has the advantage of swinging back and forth in a precise time interval that is based on its length and resists swinging at other rates.
What occurs when an elevator quickly ascends?The forces experienced in an elevator are applied in this way to Newton's second law. You feel heavy when moving upwards and lighter when moving downwardly when you accelerate. You would feel weightless if the elevator cable snapped since you and the elevator would both be descending at the same speed.
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if the radius of the hill is 30 meters, at what speed would the centripetal force equal the force of gravity
If the hill's circumference is 30 meters. The centripetal force equals the gravitational force at 9.39 m/s.
The centripetal force is defined.Any force that changes the direction of motion towards to center of either a circular motion is known as a centripetal force. The part of the force that produces the rotational motion is the part that is orthogonal to the velocity.
Is the force of gravity centripetal?Force acting is used to maintain an object moving in a circle due to gravity. Since gravity generally behaves opposed to motion, it has no effect on an item in a circular path.
Radius, r = 30 m
speed = v.
(Fr = (mv^2)/r
μk mg& = (mv^2)/r
v =√(μ_k gr)
v = √(0.30×9.80×30)
v = 9.39 m/s
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A wave with a frequency of 17 Hz ha a wavelength of 5 meter. At what peed will thi wave travel?
The wave's speed is 85 m/s if its wavelength is 5 meters and its frequency is 17 Hz.
What is a wave length?A waveform signal that is propagated in space or down a wire does have a wavelength, that is the separation between two equal places (adjacent crests) in the consecutive cycles. This length is typically specified in wireless systems in metres (m), centimetres (cm), or millimeters (mm) (mm).
given data,
frequency of the wave v = 17 Hz
Wavelength of the wave = 5m
speed of the wave s = ?
Calculating the speed of wave
We know that,
Speed= frequency × wavelength
Thus,
s= 17 × 5 m/s
s= 85 m/s
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The refractive index of amber is 1.55. If a ray of light enters a piece of amber at an incident angle 0.5°, what would its angle of refraction be? Give your answer to 2 decimal places.
Answer:
The angle of refraction be 3.21°
Explanation:
Let the angle of refraction = r
Given,
Angle of incidence, i = 0.5°
Refractive index of amber, n = 1.55
Refractive Index can be calculated by n = sin i/sin r
⇒ n = sin i/sin r
⇒ 1.55 = sin 0.5°/sin r
⇒ sin 0.5° = 0.0087
⇒ 1.55 = 0.0087/ sin r
⇒ sin r = 0.0087/1.55
⇒ sin r = 0.0056
⇒ r = sin−1(0,0056)
⇒ r = 3.21°
6. A particle of mass 2m is moving to the right in projectile motion. At the top of its trajectory, an
explosion breaks the particle into two equal parts. After the explosion, one part falls straight down
with no horizontal motion. What is the direction of the velocity of the other part in the instant after
the explosion?
a. up and to the left
b. stops moving
up and to the right
C.
d. straight up
The direction of the velocity of the other part in the instant after the explosion is: up and to the left.
What is projectile motion?When a particle is hurled obliquely near the surface of the earth, it travels along a curved path while accelerating continuously in the direction of the planet's center. Such a particle's motion is known as projectile motion.
As one part falls straight down with no horizontal motion, the total component of horizontal momentum will be in the another part and due to law of conservation of momentum, a upward momentum will be introduced after the collision. the direction of the velocity of it will be up and to the left.
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Select the correct answer. what is 7.58e8 expressed in standard notation? a. 0.0000000758 b. 0.000000758 c. 758,000,000 d. 75,800,000,000
The correct answer is c. 758,000,000. The 7.58e8 is the scientific notation, also known as exponential notation, which is a way of expressing very large or very small numbers
What is the significance of the letter "e" in a decimal number?The letter "e" in a decimal number, indicates scientific notation. The "e" stands for the exponent of 10, and the number following it represents the power to which the number 10 is raised.
7.58e8 in scientific notation represents 7.58 x 10^8 .In this case, 8 is the exponent, meaning that the number 7.58 is multiplied by 10 to the power of 8, or 10^8, resulting in 758,000,000.
Why is exponential notation advantageous?Using exponential notation, we may delete zeros and represent a number in a compact form by taking use of the fact that multiplication or dividing by multiples of 10 moves the decimal point of a number to the left or right.
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A parallel-plate capacitor is charged by a 20.0V battery, then the battery is removed.
Part A
What is the potential difference between the plates after the battery is disconnected?
Express your answer with the appropriate units.
Part B
What is the potential difference between the plates after a sheet of Teflon is inserted between them?
Express your answer with the appropriate units.
a) The potential difference between the plates after a sheet of Teflon is inserted between them is 20.0V
b) The potential difference between the plates after a sheet of Teflon is inserted between them is 9.52Volts.
Why does it have the name potential difference?The amount of potential energy that exists between two points in a circuit is what we can refer to as the voltage. While the other points have potential, one has a higher potential. The term "voltage" or "potential difference" refers to the charge difference between higher and lower potentials.
Part a) Capacitor plates have a certain voltage when they are fully charged. ΔV = 20.0V
Considering that the battery is currently disconnected, the potential difference between the plates is given as
ΔV = Q/C
As long as the capacitance remains constant and the charge is conserved on the plates, the potential difference will remain unchanged.
b) Teflon sheet is now placed between the capacitor's plates.
Consequently, the capacitor's capacitance will alter by a factor of the dielectric constant.
Therefore, we will
C' = KC
Kteflon = 2.1
Consequently, the new capacitance given here is
C' = 2.1C
ΔV = Q/C
ΔV = 20/2.1
ΔV = 9.52Volts.
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why does the pull of gravity on an astronaut get weaker as the astronaut moves farther from earth
The distance is inversely proportional to the magnitude of the gravitational force. As the distance increases, the magnitude of force decreases.
What is Gravitational force?The gravitational force on an object can be defined as the force of attraction or the attractive force which attracts all the physical forms which are having some mass. Gravitational force is by far the weakest recognized natural force of all.
Since, the gravitational force is inversely proportional to the square of the separation between the force and the object distance between the two interacting objects, there is more separation distance will result in weaker gravitational forces of attraction. So, as the two objects are separated from each other, the force of gravitation attraction between them also decreases.
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