7.87° is the first-order maximum for 550 nm.
What is diffraction?Diffraction is the spreading of waves in the presence of obstacles. Diffraction occurs with sound, electromagnetic radiation such as light, X-rays, and gamma rays, and very small moving particles with wavelike properties such as atoms, neutrons, and electrons.The locations of the interference fringes are given by the equation d sin θ = m λ d sin θ = m λ.Using diffraction equations,
d = 0.01/Number of lines, where 0.01 m = 1 cm and d = line spacing
Therefore,
d = 0.01/2070 = 4*10^-6 m
Similarly,
d x Sin X = m x Y;
When X = Angle
m = order = 1
Y = wavelength = 550 nm =550*10^-9 m
By substituting;
Sin X = mY / d = (1*550*10^-9)/(4*10^-6) = 0.1375
X = Sin⁻¹(0.1375) = 5.97°
As a result, the first-order maximum for 550 nm will be 7.87°.
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what is the mass of a large ship that has a momentum of 1.54 ×109kg·m/s, when the ship is moving at a speed of 48.7 km/h?
The large ship's mass with a momentum of 1.54 * [tex]10^{9}[/tex] kg m/s is [tex]3.16 * 10^{7}[/tex] kg
Given Parameters:
Speed of ship = 48.7 km/hr
The momentum of the ship = 1.54 * [tex]10^{9}[/tex] kg m/s
Momentum is characterized as the intensity of a body's motion.
Momentum is measured by "mass velocity" because it depends on both the speed and the direction of the body's motion. Mass is a scalar quantity, but velocity is a vector, hence momentum is a vector quantity. Mass in motion is quantified by momentum, which is the measure of how much mass is moving. Typically, it is denoted by the letter p.
Momentum (p) = Mass (m) * Speed (v)
p = mv
We need to calculate the mass of the ship,
m = p/v
[tex]m =\frac{1.54 * 10^{9} }{48.7} =0.0316*10^{9} = 3.16 * 10^{7}[/tex]
Thus, the mass of the ship is [tex]3.16 * 10^{7}[/tex] kg
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a ball is thrown eastward into the air from the origin (in the direction of the positive x-axis). the initial velocity is 40 i 80 k, with speed measured in feet per second. the spin of the ball results in a southward acceleration of 8 ft/s2, so the acceleration vector is a
The ball falls to the ground with a magnitude of 244.8 feet and a speed of 91.0 feet per second.
What is kinetics?In this situation, we have a three-dimensional problem that kinematics can help us solve by determining the position, velocity, and acceleration of the body.
The vector, which is the ball's position in the air at time t,
p(t) = (60 i + 64 k) t + 1/2 (-6 j - 32 k) t ²
and its velocity is given by
v(t) = (60 i + 64 k) + (-6 j - 32 k) t
The time the ball is in the air is equal to the time it takes for the position vector's vertical (k) component to reach zero, so we solve,
64 t - 32/2 t ² = 0 ==> t = 0 OR t = 4
and so the ball is in the air for 4 s.
The ball has position vector.
p(4) = (60 i + 64 k) t + 1/2 (-6 j - 32 k) t ² = 240 i - 48 j
which has magnitude.
||p(4)|| = √(240² + (-48)²) = 48 √26 ≈ 244.8 ft
in the direction of the positive x axis in the x, y plane so that
tanθ = -48/240 = -1/5 ==> θ = -arctan(1/5) ≈ -11.3º
or 11.3º South of East.
The ball swiftly strikes the ground.
||v(4)|| = ||60 i - 24 j - 64 k|| = √(60² + (-24)² + (-64)²) = 4 √517 ≈ 91.0 ft/s.
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a racing car travels with a constant tangential speed of 75.0 m/s around a circular track of radius 625 m. find (a) the magnitude of the car's total acceleration and (b) the direction of its total acceleration relative to the radial direction.
The racing car travels with a constant tangential speed of 75.0 m/s around a circular track of radius 625 m are:
Constant Velocity , u = 75 m/s
Radius , r = 625 m
a) Total Acceleration = v^2/r
Total Acceleration = 75^2/(625)
Total Acceleration Acceleration = 9 m/s^2
The magnitude of the total acceleration is 9 m/s^2
b) Since the velocity is constant
The tangential acceleration is zero
The total acceleration is therefore the radial acceleration.
the direction of total acceleration relative to radial direction is zero
Acceleration is the name we give to the process of changing velocity. Velocity is speed and direction, so there are only two ways to accelerate. Either change speed, change direction, or change both
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xa student fires a cannonball diagonally with an initial speed of 35.0m/s. neglect drag and the initial height of the cannonball. what is the max height
2.23 seconds is the cannons' total flight time.
What is Acceleration due to gravity ?
The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity. M/[tex]s^{2}[/tex] is its SI unit. Both magnitude and direction are present.
According to the information
A diagonal ball is launched at a 45° angle from the horizontal. The ball is being fired in a projectile motion. A projectile is a motion in which a body that has been discharged into space with a velocity U is allowed to fall freely while being affected by gravity.
The cannon ball's total flight time, T, can be represented as;
where T = 2Usin(theta)/g;
U is the ball's starting speed, which is 35 m/s.
The angle the ball makes with the horizontal is theta, which is equal to 45°.
The acceleration caused by gravity is g = 9.81 m/[tex]s^{2}[/tex]
Incorporating the provided data into the existing formula;
T = 35sin45°/9.81
T = 35×0.7071/9.81
T = 24.74/9.81
2.52 seconds later
2.23 seconds is the cannons' total flight time.
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bronco the skydiver falls toward earth. the attraction of earth on bronco pulls him down. the reaction to this force is
Bronco the skydiver falls toward earth. the attraction of earth on bronco pulls him down. The reaction to this force is.
a. Bronco finally pushing against Earth's surface.
b. Bronco pulling up on Earth.
c. Earth's surface finally pushing against Bronco.
d. neither A, B, nor C
Bronco pulling up on Earth
On this planet all our bodies have a weight, or downward force of gravity, proportional to their mass, which Earth’s mass exerts on them. Gravity is measured via the acceleration that it offers to freely falling gadgets. At Earth’s surface the acceleration of gravity is ready 9.eight metres (32 feet) in step with second in keeping with 2nd. as a consequence, for every second an object is in free fall, its velocity will increase by using approximately 9.8 metres per 2nd. on the floor of the Moon the acceleration of a freely falling body is about 1.6 metres in line with second in line with second.
Skydiving, additionally called parachuting, use of a parachute—for either leisure or aggressive purposes—to slow a diver’s descent to the ground after jumping from an airplane or other excessive location. the game traces its beginnings to the descents crafted from a warm-air balloon by the French aeronaut André-Jacques Garnerin in 1797, however current skydiving is generally performed from a propeller-pushed airplane. At occasions together with the annual world free Fall convention in Quincy, Illinois, but, parachutists are afforded the possibility to jump from such diverse craft as hot-air balloons, helicopters, and a Boeing 727.
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at what positive value of displacement x in terms of a is the potential energy 1/9 of the total mechanical energy?
1/9 of the total mechanical energy is the system's potential energy x=1/3.A .
Exactly how is energy defined?Energy is the capacity to perform labor, according to scientists. Due to the sheer capacity to convert energy from one medium to some other and use it to achieve things, human civilisation is attainable.
Which energy kinds are there?Chemical, electrical, radiant, mechanical, thermal, nuclear, and other six main types of energy exist. Additional kinds, such as electrochemical, acoustic, electromagnetic, and others, may be discussed in other studies.
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A block with mass 0.50 kg is forced against a horizontal spring of negligible mass, compressing the spring a distance of 0.20 m (the figure (Figure 1)). When released, the block moves on a horizontal tabletop for 1.00 m before coming to rest. The spring constant k is 100 N/m. What is the coefficient of kinetic friction mu _k between the block and the tabletop? Express your answer using two significant figures. mu _k = __________
The answer is 0.408.
According to the principle of conservation of energy when a friction force acts within an isolated system, we have
ΔE = ΔU + ΔK = -[tex]f_{Friction}[/tex]d
= k[tex]x^{2}_{0}[/tex]/2 = [tex]f_{Friction}[/tex]d--------------------(1)
[tex]f_{Friction}[/tex] = [tex]u_{k}[/tex]N = [tex]u_{k}[/tex] = [tex]u_{k}[/tex]mg---------------------(2)
inserting eq. (2) into (1),
[tex]u_{k}[/tex]= k[tex]x^{2}_{0}[/tex]/2mgd
inserting data given,
[tex]u_{k}[/tex]= 0.408163265 ≈ 0.408
Therefore, the answer is: 0.408
What is coefficient of kinetic friction ?
A sophisticated method for determining the dynamic coefficient of friction. The sliding friction coefficient μk is the ratio of the friction force to the normal force experienced by an object moving on a dry, uneven surface.
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The block and the tabletop have a 0.41 coefficient of kinetic friction, according to the supplied statement.
What exactly are static and kinetic friction?The box can't move on its own because of static friction; this friction must be overcome by an opposing army that is large enough for the box to move. When surfaces are moving, a force called kinetic friction, also known as dynamic friction, fights the movement of the surfaces.
Briefing:The parameters supplied:
Block's mass, m, is equal to 0.50 kg.
Spring extension, when x=0.2 m
100 N/m is the spring constant, K.
By using the law of conservation of energy, we can calculate the kinetic friction coefficient that exists between block and the tabletop, as illustrated below.
[tex]\begin{aligned}& \mathrm{Fd}=U_x \\& \mu \mathrm{mgd}=1 / 2 \mathrm{kx}{ }^2\end{aligned}[/tex]
where;
μ is the coefficient of kinetic friction.
The block's and the tabletop's kinetic friction coefficient is:
[tex]\begin{aligned}& \mu_k=\frac{k x^2}{m g d} \\& \mu_k=\frac{100 \times 0.2^2}{2 \times 0.5 \times 9.8 \times 1} \\& \mu_k=0.41\end{aligned}[/tex]
Therefore, the block's and the tabletop's value of kinetic friction is 0.41.
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about how long does one day last at the north pole on uranus? one day is defined as the time from sunrise to sunset.
On the north pole, one day for about 17 hours on uranus.
Its call is a reference to the Greek god of the sky, Uranus, who, in step with Greek mythology, was the extremely good grandfather of Ares, grandfather of Zeus, and father of Cronus.
Uranus is the only planet whose equator is sort of at a proper attitude to its orbit, with a tilt of 97.77 degrees – likely the end result of a collision with an Earth-sized item lengthy in the past.
The blue-inexperienced color effects from the absorption of crimson light by way of methane gas in Uranus' deep, cold, and remarkably clean surroundings.
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three capacitors of values of 1.0 μf, 1.5 μf, and 2.0 μf each are connected in series. what is the equivalent capacitance?
If three capacitors with values of each are connected in series, the corresponding capacitance is 46 mF 1 / (1/1.)+(1/1.5)+(1/2.).
What is a capacitor used for?An electrical energy storage device is a capacitor. It has two conductors in it that appear to be close to one another but are kept apart. A straightforward example of a particular storage device is the parallel-plate capacitor.Equivalent Capacitance for three capacitors in series can be given by the following equation. 1/C = 1/C1 + 1/C2 + 1/C3.
What are capacitors' two most frequent applications?Capacitors are most frequently used for signal coupling and decoupling, power conditioning, electronic noise filtering, energy storage, and remote sensing. Capacitors are employed in many different industries since they have a crucial and adaptable role for a variety of applications.
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what have the water-related discoveries (made by spacecraft at mars) implied about its atmosphere in the distant past?
The atmosphere may have been thicker and had a stronger greenhouse effect, to allow liquid water to exist on the surface.
Explain in detail.
Water ice on Mars is most likely found in global planar terrain. This type of terrain is relatively flat and is mapped out by the Martian terrain. Nearly all of the water on Mars today is in the form of ice, although there are small amounts of water vapor present in the atmosphere.The moon and Mars both have ice that could theoretically be turned into drinking water.To know more about Mars here
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spray sunscreens generally have a longer shelf-life than cream sunscreen formulations. why might this be?
This is because spray sunscreens contain fewer ingredients and preservatives than cream sunscreens.
What is sunscreen?
Sunscreen, also referred to as sunblock as well as sun cream, is a topical photoprotective product for the skin that primarily absorbs or, to a much lesser extent, reflects some ultraviolet (UV) radiation from the sun. This helps prevent sunburn and, more importantly, skin cancer. Lotions, sprays, hydrocolloids, foams, sticks, powders, as well as other topical products are all forms of sunscreen. Sunscreens are common additions to clothing, especially sunglasses, sunhats, and other types of photoprotective clothing (such as umbrellas). H.A. Milton Blake, an Australian chemist, created the first sunscreen in 1932 using a 10% concentration of the UV filter salol (phenyl salicylate).
Since they do not contain as many active ingredients, they are less likely to expire quickly. Additionally, because the sunscreen is in a spray form, it is less likely to be contaminated with bacteria or dirt, which can cause it to expire more quickly.
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a car traveling at 41 ft/sec decelerates at a constant 2 feet per second per second. how many feet does the car travel before coming to a complete stop?
The distance that the car will travel before coming to a complete stop is 82ft.
How to calculate distance?Distance is the amount of space between two points, usually geographical points, usually (but not necessarily) measured along a straight line.
The distance of a moving object can be calculated using the following formula:
Speed = distance ÷ time
According to this question, a car traveling at 41 ft/sec decelerates at a constant 2 feet per second. The distance can be calculated as follows:
41ft/sec = D/2
Distance = 82feet
Therefore, 82ft is the distance of the car travelling.
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g which of the following objects has the greatest amount of momentum? assume all the objects are moving along the positive horizontal axis. group of answer choices a 1 kg block with a 5 m/s velocity a 5 kg block with a 1 m/s velocity a 10 kg block with a 2 m/s velocity a 2 kg block with a 5 m/s velocity a 3 kg block with a 1 m/s velocity
Option C. momentum ia 20 kg m/s has the greatest amount of momentum.
Momentum is the product of the mass and pace of an item. it is a vector amount, owning a value and a route. If m is an item's mass and v is its pace, then the object's momentum p.
Momentum in a easy way is a amount of movement. here quantity is measurable due to the fact if an object is transferring and has mass, then it has momentum. If an item does now not move then it has no momentum.
Calculation:-
momentum = mass × velocity
1. momentum = 1 × 5 m/s
= 5 kg m/s
2. momentum = 5 × 1 m/s
= 5 kg m/s
3. momentum = 10 × 2 m/s
= 20 kg m/s
4. momentum = 2 × 5 m/s
= 10 kg m/s
5. momentum = 3 × 1 m/s
= 3 kg m/s
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A force of 203 N is exerted on 8.11 -kg bowling ball over time span of 0.784 seconds
The change in momentum of the bowling ball of mass 8.11 kg is 159.152 kgm/s.
What is change in momentum?The change in the momentum is equal to the product of the mass and the change in the velocity.
To calculate the change in momentum of the bowling ball, we use the formula below.
Formula:
ΔM = Ft............ Equation 1Where:
ΔM = Change in momentumF = Force applied to the bowling ballt = TimeFrom the question,
Given:
F = 203 Nt = 0.784 sSubstitute these values into equation 1
ΔM = 203×0.784ΔM = 159.152 kgm/sHence, the change in momentum of the ball is 159.152 kgm/s.
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Complete question: A force of 203 N is exerted on 8.11 -kg bowling ball over time span of 0.784 seconds. Calculate the change in momentum of the bowling ball
A proton and an electron are placed in an electric field. Which undergoes the lesser acceleration?.
Proton will undergoes the lesser acceleration
What happens when Electron and proton are kept in Electric field ?Due to the opposite polarity of an electron and a proton, when they are in an electric field, they are attracted to one another by an electrical force of equal strength. However, because of their opposing charges, the force's direction will be the opposite.
An electron will accelerate more quickly than a proton because of the difference in mass between the two particles.
Thus, the electric forces acting on them will be equal in strength but directed in the opposite direction. Since the mass of the proton is 1836 times greater than the mass of the electron, its acceleration will be [1/1836] times greater.
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Circle the contact forces from the list:
Magnetism
Air resistance
Weight
Upthrust
Reaction
which type of galaxy is very difficult to see, but (astronomers recently realized) may be very common?
A dwarf ellipse. Despite being incredibly difficult to view, astronomers recently realised that this form of galaxy may be quite common.
What is a galaxy?
A galaxy is a vast collection of stars, solar systems, gas, and dust. Gravity holds a galaxy together. There is also a black hole at the centre of our galaxy milkyway.
Dwarf On a smaller scale, elliptical galaxies seem to share many of the same global characteristics as typical elliptical galaxies. They lack recent star formation, are elliptical in shape, and have very little to no gas. The most prevalent type of galaxy in the cosmos is a dwarf galaxy, but because of their small size, low mass, and low luminosity, they are hard to find.
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how fast must air blow across the top of the straw to draw water to the top of the straw? assume that the density of air is
The air blows across the straw's top at a speed of 122.79H m/s, causing water to collect there. To get water to collect at the straw's top, air is blown over it.
A moving object is said to be moving at a variable pace when it travels a varying distance at regular intervals of straw's top. The uniform speed determined by the ratio of the whole distance travelled by an object to the total amount of time it took to travel that distance is known as the average speed. Air blow straw's top are renowned to offer targeted, high-pressure output and are most ideal for automotive and industrial cleaning applications.
1/2*density* v = density*g*h
v = (density of b / 2*density*g*h)1/2
= (2*1000*9.8*h/1.3)\sv = 122.79h
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a proton has a mass of 1.67×10−27 kg . if the spring were to break, the α particle would disintegrate and the protons would fly off in opposite directions. what would be their ultimate speed?
The ultimate speed is 0.333× 10⁸ ms‐¹.
The proton mass is 1.67×10−27 kg. If the spring were to break, the alpha particles would collapse and the protons would fly in the opposite direction.
Calculation:-
Deuterons:= 0.333×108ms−1
m2=3.34×1027kgu2=0
Let v be the velocity of the combination
Then from momentum conservation
m1u1+ m2u2= (m1+m2)v
1.67×1027×108+3.34×1027
= ( 1.67+3.34)×10−27×v
binding velocity
v=1.67×10−27×1085.01×10−27
= 0.333×108ms−1
A proton is a stable subatomic particle with a positive charge of +1 e elementary charge, symbol p, H+, or 1H+. Its mass is slightly less than that of a neutron, 1836 times that of an electron (proton-to-electron mass ratio). Protons and neutrons, each with about one atomic mass unit, are collectively called "nucleons" (particles present in the nucleus)
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In comparing two unequal forces on a rigid body, is it possible to have the larger force produce less torque than the smaller force?.
Yes, it is possible to have the larger force produce less torque than the smaller force. It is possible for the larger force to be applied closely enough to the center of mass of the rigid body due to which its resulting torque is smaller than that of a smaller force applied at a point far from the center of mass.
What is force?Force is an external cause due to which a body tends to modify or change its state. Due to application of force, the body can also change its size, shape, and direction. Force has both direction and magnitude.
Force = mass × acceleration
What is torque?The force that can cause an object to rotate along an axis is measured as torque.
[tex]\tau = rF\sin\theta[/tex]
Here, [tex]\tau \\[/tex] = Torque
r = radius
F = force
[tex]\theta[/tex] = the angle between the F and the lever arm
In the given question, lets assume the following,
F = Large force
d = Distance from the point of application of the large force to center of mass
f = Small force
D = Distance from the point of application the of small force to center of mass
Now,
Assuming D > d (i.e, D is greater than d).
The torque caused by the large force is Fd, and the torque caused by the little force is fD if the forces are applied perpendicular to the body's axis. Hence, depending on the values of F, f, D, and d, we can have Fd < fD.
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Question 1 options:
60 miles
1 mile
60 miles per hour
Trick question. You can't go 60 miles if an hour has 60 minutes
Answer:
Explanation:
You can drive at 60 miles per hour
D = 60 miles
t = 1 hour
Speed:
V = D / t = 60 / 1 = 60 mph
two light bulbs are 1.10 m apart. from what distance can these light bulbs be marginally resolved by a small telescope with a 4.00 cm -diameter objective lens? you may want to review (pages 1011 - 1014) .
The two light bulbs are to be resolved at a distance of 60.1 km.
The formula of Rayleigh criterion for the diffraction limit is
[tex]\theta \:=\: 1.22 \: \frac{\lambda}{D}[/tex]
where
λ = the radiation wavelength (m)D = the diameter of lens (m) = 4.00 cm 4.00 × 10⁻² mθ = limited angle (rad)Because in problems didn't give the detail about the wavelength, for visible light the radiation wavelength is 750 nm - 400 nm. In this problems I assume λ = 600 nm = 600 × 10⁻⁹ m = 6 × 10⁻⁷ m
[tex]\theta \:=\: 1.22 \: \frac{\lambda}{D}[/tex]
θ D = 1.22 λ
θ × 4.00 × 10⁻² = 1.22 × 6 × 10⁻⁷
θ = (7.32 × 10⁻⁷) ÷ (4.00 × 10⁻²)
θ = 1.83 × 10⁻⁵ rad
The angle for the light bulbs
[tex]\theta = \frac{s}{r}[/tex]
where
s = the width between two light bulbs (m)r = the distance light bulbs are resolved (m)s = θr
r = 1.1 ÷ (1.83 × 10⁻⁵)
r = 6.01 × 10⁴ m
r = 60.1 km
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stephanie pulls on a rope that is attached to a large crate. she is pulling the crate along at a constant speed as it slides across rough carpet. how does the magnitude of the force of tension exerted on stephanie compare to the magnitude of the force of tension exerted on the crate?
The force of tension exerted on the crate has the same magnitude as the force of tension exerted on Stephanie.
What is force ?
a force is an influence that can change the motion of an object. A force can cause an object with mass to change its velocity, i.e., to accelerate. Force can also be described intuitively as a push or a pull. A force has both magnitude and direction, making it a vector quantity.
The rope pulls with equal magnitude force but in opposite directions to the hand and to the mass (neglecting the weight of the rope). This is an example of Newton's third law. The rope is the medium that transmits forces of equal magnitude between the two objects but that act in opposite directions.
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a commuter train passes a passenger platform at a constant speed of 42.8 m/s. the train horn is sounded at its characteristic frequency of 342 hz. (a) what overall change in frequency is detected by a person on the platform as the train moves from approaching to receding? (indicate whether the frequency increases of decreases with the sign of your answer.)
A commuter train passes a passenger platform at a constant speed of 42.8 m/s. the train horn is sounded at its characteristic frequency of 342 Hz: The train's speed is st=43.5m/sst=43.5m/s.
Frequency, in physics, is the number of waves that skip a hard and fast factor in unit time; also, the number of cycles or vibrations passed through in the course of one unit of time by way of a frame in periodic movement. The frequency of a particular statistic is the number of instances the facts price occurs. We constitute the frequency of a facts fee with the aid of f. as an instance if five students were given an A in technology, after which grade A is said to have a frequency of 5.
Frequency is the range of occurrences of a repeating occasion per unit of time. it's also once in a while called temporal frequency to emphasize the assessment of spatial frequency, and normal frequency to emphasize the difference from angular frequency.
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Complete the energy maximum electron capacity for each energy level. Energy level 1 maximum electron capacity is. Energy level 2 maximum electron capacity is. Energy level 3 maximum electron capacity is. Energy level 4 maximum electron capacity is.
Energy level 1 maximum electron capacity: 2, Energy level 2 maximum electron capacity: 8, Energy level 3 maximum electron capacity: 18 and Energy level 4 maximum electron capacity: 32.
What is Energy?
Energy, which is observable in the work performed as well as in the form of heat and light, is indeed the quantitative property that's also transferred to a body or a physical system in physics. Energy is a conserved resource; according to the principle of conservation of energy, energy can only be transformed from one form to another and cannot be created or destroyed. The joule is the SI's (International System of Units) measurement unit for energy (J). The kinetic energy of the a moving object, this same potential energy held by an object (for example, due to it's own position in a field), this same elastic energy held in a solid object, chemical energy linked to chemical reactions, and radiant energy conducted by electromagnetic radiation are examples of common forms of energy.
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what observational evidence supports the galactic fountain model, which describes how gas cycles between the disk of the galaxy and regions high above the disk?
Along with cold gas that appears to be falling from the halo, we also observe hot gas far above the portion of the disk close to our solar system. This observational evidence supports the galactic fountain model, which describe how gas cycle between the disk of the galaxy and regions high above the disk.
What is the model for the galactic fountain?
The idea that hot, ionized gas that super bubbles blow off of the galactic disk and into the halo cools and returns to the disk.
What might start an interstellar fountain?
In this Milky Way graphic, the galactic fountain scenario is depicted. Supernova explosions in the galactic disc heat the interstellar medium and can force hot gas out of the disc, leading to the creation of so-called galactic fountains, which help build a halo of hot gas around the Milky Way.
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3. a resistor r is connected to a 12 v ideal battery. the total current increases five times when a 400 ohm resistor is added in parallel with it. the value of resistance r is:
The value of resistance r is 100ohm
Define resistance.
The opposition a substance provides to the flow of electrical current is referred to as resistance. The capital letter R is used to symbolize it. The ohm, which can be written as a word or represented by the Greek letter omega Ω in uppercase, is the universal unit of resistance.
Because the output current of the first resistor flows into the input of the second resistor in a series circuit, the current through each resistor is equal. All of the resistor leads on one side of the resistors are connected together, as are all of the leads on the other side, in a parallel circuit.
In a parallell circuit,
1/R = 1/R1 + 1/R2
Given R1= r
R2= 400
I= 5
V= 12V
1 / R + 1 / 400 = 5 / R
1 / 400 = 4 / R
R = 400/4
R= 100ohm
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the current in a certain ac circuit is independent of the frequency at a given voltage. which combination of elements is most likely to comprise the circuit?
A capacitor and a resistor in series. This is known as a low-pass filter, and it attenuates higher frequencies more than lower frequencies, so at a given voltage the current will not depend on the frequency.
What is frequency?
In physics, frequency is the amount of waves that pass a fixed point in a unit of time as well as the number of cycles or vibrations that a body in periodic motion experiences in a unit of time. After moving through a series of situations or positions and then returning to its initial position, a body in periodic motion is thought to have experienced one cycle or one vibration. See also simple harmonic motion and angular velocity.
The frequency is 2 per second if the period, or time interval, needed to complete one cycle as well as vibration is 1/2 second; it is 100 per hour if the period is 1/100 of an hour. In most cases, the frequency is equal to the period, or time interval, reciprocally, so frequency = 1/period = 1. (time interval).
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A luge and its rider, with a total mass of 85 kg, emerge from a downhill track on to a horizontal straight track with an initial speed of 37 m/s. If a force slows them to a stop at a constant rate of 2.0 m/s 2
, (a) what magnitude F is required for the force, (b) what distanced do they travel while slowing, and (c) what work W is done on them by the force? What are (d) F, (e) d, and (f) W if they, instead,slow at 4.0 m/s 2
?
Force required is: -170N for the distance of 342.25m.
a) F=ma
F= - 85×2.0 = - 170
b) using energy
5×85×37²=170×d
d = 342.25 m
c) The work done would be given by
W= F×d
W =(−1.7×10²N)×(3.4×10²)
W=−5.8×[tex]10^{4}[/tex]J
d) The net force on the mass would be
F = ma
F = -340 NF
-ve sign indicates that the force acts opposite to the direction of motion.
e) Using the kinematic equation
v²= u² + 2ad
d= 1.7 × 10² m
f) The work done would be given by
W= F×d
W= -5.8 × [tex]10^{4}[/tex]
-ve sign indicates that the energy of the rider decreases by the force
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a car is traveling with a speed of 20.0 m/s along a straight horizontal road. the wheels have a radius of 0.300 m. if the car speeds up with a linear acceleration of 1.50 m/s2 for 8.00 s, find the angular displacement of each wheel during this period.
The angular displacement of each wheel during this period will be 209 rad
Explain angular displacement
A body's angular displacement is the angle (measured in radians, degrees, or revolutions) by which a point rotates around a specific axis or center in a particular way. Because a body rotating about its axis experiences variable velocities and accelerations at all times, the motion cannot simply be considered as a particle motion (t).
We must first assume that the car's wheels are not slipping in relation to the pavement. If so, we can infer that the angular velocity and acceleration are given by
w = v/r = (20m/s)/(.300 m) = 6 rad/s
a = a/r = (1.5 m/s2)/(.300 m) = 5 rad/s2
Using this data, we can calculate the angular displacement by:
angular displacement = (6 rad/s)(8.00 s) + .5(5 rad/s2)(8.00 s)2
= 48 rad + 160 rad = 209 rad
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