The magnetic flux through this surface is 7.5 × [tex]10^{-5}[/tex] Wb, for the solenoid with the given radius and length carrying a current of 3 Amperes.
What is Magnetic flux?
The surface integral of the normal component of the magnetic field B over a surface is known as the magnetic flux through that surface. The standard notation is Φ or ΦB. The weber is the SI unit for magnetic flux, and the maxwell is the CGS unit.
Calculation:
It is given that,
Radius of the solenoid, r = 5 cm = 0.05 m
Length of the solenoid, L = 5 m
No of turns, N = 8000
Current, I = 3 A
The radius of the circular plane surface, r' = 2 cm = 0.02
Area of the circular surface,
A = π × r² = π × (0.02)²= 0.00125 m²
The magnetic flux through this surface is given by :
∅ = B × A
B is the magnetic field of the solenoid,
∅ = μ₀ × N/L × I × A
∅ = 4π × [tex]10^{-7}[/tex] × 8000/5 × 3 × 0.00125 m²
∅ = 7.5 × [tex]10^{-5}[/tex] Wb.
Hence, the magnetic flux through this surface is 7.5 × [tex]10^{-5}[/tex] Wb, for the solenoid with the given radius and length carrying a current of 3 Amperes.
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a swan on a lake gets airborne by flapping its wings and running on top of the water. if the swan must reach a velocity of 6000 mm/s to take off and it accelerates from rest at an average rate of 35.0 cm/s2, how far will it travel before becoming airborne?
It travels 51.4 m before ascending into the air. If the swan must accelerate from rest at an average speed of 35.0 cm/s^2, it will take 6000 mm/s to attain the required speed for takeoff.
Consider the instantaneous speed to be the speed that the speedometer registers at any given moment in time, and the average speed to be the average of all the measurements taken throughout the journey. In mechanics, acceleration is the rate at which an object's velocity with respect to time changes. The vector quantity of accelerations (in that they have magnitude and direction).
The kinematics equation and the provided information lead to the conclusion that
x = V2^2 -V1^2/2a
x = 6^2/2*0.35 = 51.4m
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In a classic Simpsons episode, Abe Simpson states "My car gets 40 rods to the hogshead, and that's the way I like it!" To describe the gas mileage of a modern car to Abe Simpson, construct a method to convert 51.5 miles per gallon to rods per hogshead. For this calculation, use the two following conversion factors: 1 mile = 320.0 rods 1 hogshead = 85.7 gallons What is the gas mileage of the car in rods per hogshead? (Note: Report your value in decimal notation, not scientific notation.)
The gas mileage of the car in rods per = 1412336rogs/
We have been given:
quantity= 51.5miles per
1 mile = 320.0 rods
1 = 85.7
51.5miles/ = 51.5×1mile/1 ×320.0 rods/1mile×85.7/
= (51.5×320.0×85.7)rods/
= 1412336 rods/
hence, the final answer will be 1412336rods/.
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A box with mass 15 kg is pulled up an inclined plane as illustrated in the figure. What magnitude of force, F, must be applied to the box in order to move it up the ramp at constant speed if the coefficient of kinetic friction between the box and ramp is 0.115?
Answer:
o99i
Explanation:
a car travels 65 km in 1 hour. what is its average speed in meters per second?
Answer:
18.1 m/s
Explanation:
65 km = 65 000 m and 1 hour = 3600 sec
65000 / 3600 = 18.1 m/s
G s w d v b k x s r only for freinds
Have a pretty heart
Answer:
what do you mean
Explanation:
find the intensity of a 1.0- mw class 2 laser with beam diameter 2.4 mm .
The intensity of laser beam is [tex]$318.2 \mathrm{~W} / \mathrm{m}^2$[/tex].
What is intensity?
In physics, the power transferred per unit area is known as the intensity or flux of radiant energy, where the area is measured on a plane perpendicular to the direction of the energy's propagation. In the SI system, it has units watts per square metre, or kg⋅s⁻³ in base units.
The standard expression for the intensity of beam is given as,
I = P/A
Here, P is the power of the laser and A is the cross-sectional area of the beam. And its value is,
[tex]$$\begin{aligned}& A=\pi / 4 \times d^2 \\& A=\pi / 4 \times\left(2 \times 10^{-3}\right)^2 \\& A=3.142 \times 10^{-6} \mathrm{~m}^2\end{aligned}$$[/tex]
Then intensity is,
[tex]$$\begin{aligned}& I=\left(1 \times 10^{-3}\right) /\left(3.142 \times 10^{-6}\right) \\& I=318.2 \mathrm{~W} / \mathrm{m}^2\end{aligned}$$[/tex]
Thus, the intensity of laser beam is[tex]$318.2 \mathrm{~W} / \mathrm{m}^2$[/tex].
Complete question: Lasers are classified according to the eye-damage danger they pose. Class 2 lasers, including many laser pointers, produce visible light with no greater than 1.0 mW total power. They're relatively safe because the eye's blink reflex limits exposure time to 250 ms.Find the intensity of a 1-mW class 2 laser with beam diameter 24 mm .
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suppose the work function of a particular metal is 4.70 x 10-20j. what wavelength will be needed to eject electrons with a speed of 7.21x 105 m/s. will blue light be able to eject electrons from this metal?
The wavelength needed to eject electrons with a speed of 7.21 × 10⁵ m/sec is 7.2×1014Hz.
The electron is a subatomic particle with a poor one-standard electric rate. Electrons belong to the first generation of the lepton particle family and are commonly notion to be primary particles due to the fact they don't have any recognized components or substructure.
Electrons are negatively charged debris that orbits around the out of doors of the nucleus. They spin so speedy that it can be tough for scientists to examine them. they are interested in the superb price of the protons which are the smallest debris in an atom - you may fit 2000 of them right into a proton.
The hydrogen atom, as example, has simply one electron and one proton. The uranium atom, then again, has ninety-two protons, and consequently, 92 electrons.
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in this current position, which coastline(s) are experiencing a daily high tide? only a only b both a and c both b and d
In this current position, Both A and C coastline(s) are experiencing a daily high tide.
What is gravitational field ?
A gravitational field is a model used in physics to explain the effects that a large thing has on the area surrounding it, exerting a force on smaller, less massive bodies. As a result, a gravitational field, which is measured in newtons per kilogram, is used to explain gravitational phenomena.
A and C are both correct answers. The beaches that experience high tides in the ideal situation are those that are more closer to or opposite to the moon. The moon's own gravitational field pulls the earth toward it, which is the cause of this. This results in high or low tides.
In essence, two high tides and two low tides are occurring simultaneously. This is because the moon exerts different forces depending on where the water is on earth.
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a 35.0-kg child swings in a swing supported by two chains, each 3.08 m long. the tension in each chain at the lowest point is 418 n. (a) find the child's speed at the lowest point. m/s (b) find the force exerted by the seat on the child at the lowest point. (ignore the mass of the seat.) n (upward)
The child's speed at the lowest point is 5.54 m/s and the force exerted by the seat on the child at the lowest point is 692 N.
A tension is a force along the length of a medium, especially a force carried by a flexible medium, such as a rope or cable. The word “tension” comes from a Latin word meaning “to stretch.” Not coincidentally, the flexible cords that carry muscle forces to other parts of the body are called tendons.
The Tension Force or the Force of Tension is the force transmitted through a rope, cable, string or wire pulled taut by forces acting on both ends.
The Tension Force, like all forces, is a vector and has both magnitude and direction. Direction, Always a pull, In the direction of the rope, In opposite directions on opposite ends of the rope.
Any flexible connector, such as a string, rope, chain, wire, or cable, can exert pulls only parallel to its length, thus, a force carried by a flexible connector is a tension with direction parallel to the connector. It is important to understand that tension is a pull in a connector.
a)let the velocity at the lowest point be v
By balancing the force, we get
T + T = Mg + mv^2/l-------(1)
346+346 = 35*9.8 + 35*v^2/3.08
692=343 + 35v^2/3.08
v=5.54 m/s
b)let the force be F
At equillibrium, we get
F = Mg + mv^2/L
F = T+T (from 1)
F = 2T
F = 692 N
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(209) Problem 3: You are constructing mobile out of 5 identical toy helicopters_ each of mass m 165 g, identical sticks (each length / = 24.1 cm, and negligible mass) and thin string negligible mass_ The distance from the left-hand side of each stick to the attachment point of the sting supporting it ae Xp through x4 respectively, as shown in the diagram. The tensions in the supporting strings are T/ through T4 as shown. You want to design the mobile s0 that it is in static equilibrium_ Otheexpertta com 13 % Part (a) Find the tension in Newtons in the string T]. 13 % Part (b) Find the tension in Newtons in the string 13% Part (c) Find the tension in Newtons in the string Tz: 13 % Part (d) Find the tension in Newtons in the string T4: 13 % Part (e) Find the distance X/, in centimeters 13 % Part (f) Find the distance Xz in centimeters _ 13 % Part (g) Find the distance Xz,in centimeters _ 13 % Part (h) Find the distance x4, in centimeters _
The distance and tension in the supporting strings are
a)X1 = 12.05 b) x2 = 16.06, T2 = 0.7644 N c) X3 = 18.01 cm , T3 = 1.0123N, d) T4 = 1274N e) X4 = 4.82 cm
The mas of toy m = 165g
sticks length l = 24.1 cm
For x1,
Both toys are balanced at same distance from middle point,
x1 = 24.1/2 = 12.05
F0r x2
we know that moment force = mgd
here mgx2 = 2mg(24.1 - x2)
x2 = 48.2 - 2x2
x2 = 16.06
Total tension = mg
m = 3 × 26
tension T2 = 0.7644 N
for x3,
x3 = 3/4 × 24.1 = 18.01 cm
T3 = 4 × 0.26 × 9.8 = 1.0123N
For X4,
x4 = 1/5 × 24.1 = 4.82 cm
T4 = 5× 0.026× 9.8 = 1274 N
Tension is defined as the pulling force transferred axially by a string, rope, chain, or other similar object, or by each end of a rod, truss member, or other similar three-dimensional object; tension may also be referred to as the action-reaction pair of forces acting at each end of those elements. Compression's opposite, tension, is possible.
When atoms or molecules are driven apart from one another and accumulate potential energy while a restoring force is still present, the restoring force may produce what is also known as tension. Each end of a string or rod that is under such stress could pull on the thing it is attached to in order to release the tension and restore the string or rod to its relaxed length.
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what mass of fuel is needed to reach a top speed of 4000 m/s ?
103.4 kg mass of fuel is needed to reach a top speed of 4000 m/s .
What is speed ?
The speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed only has a direction and no magnitude, it is a scalar quantity.
Let fuel is released at the rate of dm / dt where m is mass of the fuel
thrust created on rocket
= d ( mv ) / dt
= v dm / dt
this is equal to force created on the rocket
= 220 dv / dt
so applying newton's law
v dm / dt = 220 dv / dt
v dm = 220 dv
dv / v = dm / 220
integrating on both sides
∫ dv / v = ∫ dm / 220
lnv = ( m₂ - m₁ ) / 220
ln4000 - ln 2500 = ( m₂ - m₁ ) / 220
( m₂ - m₁ ) = 220 x ( ln4000 - ln 2500 )
( m₂ - m₁ ) = 220 x ( 8.29 - 7.82 )
= 103.4 kg .
Complete question: A rocket in deep space has an empty mass of 220 kg and exhausts the hot gases of burned fuel at 2500 m/s. What mass of fuel is needed to reach a top speed of 4000 m/s.
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for what value of r is the potential energy u(r) equal to the total energy e ? this value of r is called the classical turning point, since this is where a newtonian particle would stop its motion and reverse direction.
For 1/4 value of r is the potential energy equal to the total energy.
What is potential energy?Potential energy is the form of energy that a object gain.
first want to find the value of our, what value of R is the potential energy equal to the total energy? So you are is equal to negative 1/4 pi epsilon naught E squared over R. Which is the potential energy. And E. This is a total energy. So we just set these two values equal to each other. So negative 1/4 pi epsilon naught E squared over R. Is equal to negative M. E. To the fourth divided by eight E squared and squared each squared and R is equal to two. So we can go ahead and solve this. We get R. Is equal to two. Absolutely not H squared divided by pi M. R. E squared. And actually this is just two times A. So the radius is to a. Now part B. We want to find the probability of electron being found in this classically forbidden forbidden region are greater than the classical turning point. So we need, so first of all let's look at the ground state wave function which is one over squared pi a cubed times E. To the negative are over A. This is what will be needed to integrate to find the probability. So the probability goes from R. is equal to two way to sigh.
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as the name quasi-stellar radio sources implies, all quasars are strong radio sources. as the name quasi-stellar radio sources implies, all quasars are strong radio sources. true false
The statement as the name quasi-stellar radio sources implies, all quasars are strong radio sources is true.
Quasars are extremely bright objects found in the centers of some galaxies, driven by gas swirling at high speed around very large black holes. The brightest quasars can outshine all the stars in the galaxy they reside in, and can be seen billions of light years away. Quasars are the most distant bright objects known. Quasar's optical spectrum presents a new mystery. Photographs taken of their spectra showed the positions of emission lines at wavelengths inconsistent with sources well known to astronomers at the time.[tex]x=\sqrt{1-\frac{\alpha }{y}+\beta \pi +mo }[/tex]To study more about Quasars -
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a spider hangs by a strand of silk at an eye level 40 cm in front of a plane mirror. you are behind the spider, 68 cm from the mirror.
Your eye as well as the spider's image in the mirror are 1.28 meters apart.
What is mirror, in a brief?A mirrors is a luminance that reflects light and creates an actual or fictitious picture. An device that returns an image is a reflector or looking glass, which reflects the image of the object when it is positioned in front of it. When focused through an eye or camera lens, light that reflects off a mirror will reveal an image of everything that was in front of it. Mirrors reflect light at an equal but opposite angle, reversing the orientation of the image.
Briefing:The image distance is equal to the object distance:
Distance between the spider and mirror = 40cm
So, the image is formed 40cm inside the mirror
Distance between the person and mirror = 68cm
Distance between the image and person = 68+40= 128cm
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anyone who scuba dives is advised not to fly within the next 24 h because the air mixture for diving can introduce nitrogen to the bloodstream. without allowing the nitrogen to come out of solution slowly, any sudden air-pressure reduction (such as during airplane ascent) can result in the nitrogen forming bubbles in the blood, creating the bends, which can be painful and even fatal. military special operation forces are especially at risk. what is the change in pressure on such a special-op soldier who must scuba dive at a depth of 20 m in seawater one day and parachute at an
The change in pressure on such a special-op soldier is 22.58 x 10⁴ Pa.
Calculation:-
Let pressure at surface of earth be P Pa.
pressure at height of 8.1 km in air can be calculated as follows .
pressure due to column of air of 8.1 km height
= h d g , h is height , d is density of air and g is acceleration due to gravity
= 8.1 x 1000 x .87 x 9.8 = 6.9 x 10⁴ Pa .
pressure at the height of 8.1 km
= P - 6.9 x 10⁴ Pa
Pressure due to column of 16 m in the sea
= h d g
16 x 1000 x 9.8
= 15.68 x 10⁴ Pa .
Pressure at depth of 16m
= P + 15.68 x 10⁴
pressure difference between points at height of 8.1 km and pressure at point 16 m deep
= P + 15.68 x 10⁴ - P + 6.9 x 10⁴ Pa
= 22.58 x 10⁴ Pa .
Air is the invisible combination of gases that makes up the Earth's ecosystem. this is what we suggest while we communicate approximately the air that we breathe. The phrase air is also used to consult the advent of some thing, as in an air of mystery.
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The net force exerted on a car traveling in a circular path at constant speed is
A) directed toward the center of the curve. B) zero because the car is not accelerating. C) directed forward, in the direction of travel. D) none of the above
At each point in a circular journey, an object's direction and speed change. Centripetal force is the name given to the force that results in this velocity or acceleration. Thus, option B is correct.
What net force exerted on a car travelling in a circular path?Centripetal force is felt by a vehicle travelling in a circle. A circularly moving body is subject to a centripetal force that pushes toward the center of the circle it is travelling in.
Therefore, Centripetal force is the force that keeps an object moving in a circular motion when it is travelling due to velocity, or its speed in a particular direction. By attracting an object to a circle's center, it achieves this.
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a 175-kg object and a 475-kg object are separated by 3.90 m. (a) find the magnitude of the net gravitational force exerted by these objects on a 53.0-kg object placed midway between them. n (b) at what position (other than an infinitely remote one) can the 53.0-kg object be placed so as to experience a net force of zero from the other two objects? m from the 475 kg mass toward the 175 kg mass
a) The magnitude of the net gravitational force exerted by these objects on a 53.0 kg is 6.03 * 10¹¹ N
b) By placing object of 53.0 kg 1.976 m from 175 kg object and 1.324 m from 475 kg object.
Mass of an object-1= M₁ = 175 kg
Mass of an object-2= M₂ = 475 Kg
Distance between M₁ & M₂ = 3.90 m
Mass of an object-3 = M₃ = 53 Kg
If M₃ placed midway between them M₁ & M₂.
Force on M₃ due to M₁
Distance between M₁ & M₃, r = 3.90/2 = 1.95
F = G(M₁*M₃/r²)
F = 6.67 x 10¹¹(175*53/ 1.95²)
F = 16,269.33*10¹¹ = 1.62 * 10⁷ N
Force on M₃ due to M₂
Distance between M₂ & M₃, r' = 3.90/2 = 1.95
F' = G(M₂*M₃/r²)
F = 6.67 * 10₁₁ ( 475 * 53/ 3.8)
F = 44188.75 * 10¹¹ = 4.41 * 10⁷ N
Net force on M₃:
F' + F = 4.41 * 10⁷ N + 1.62 * 10⁷ N = 6.03 * 10¹¹ N
The magnitude of the net gravitational force exerted by these objects on a 59.0 kg is 6.03 * 10¹¹ N.
b) Distance between M₁ & M₂ = r = 3.90 m
Let the distanced between M₁ & M₃ be r
Force experienced by M₃ due to M₁ :
f = G(M₁*M₃/r²)
Let the distanced between M₂ & M₃ be r'
Force experienced by M₃ due to M₂:
f' = G(M₂*M₃/r²)
Net force equal to zero, then :
f = f'
G(M₁*M₃/r²) = G(M₂*M₃/r'²)
6.18*10⁷/r₂² = 16.7*10₇/r'²
r = 1.4914 * r'
R = r+r'
3.90 m = 1.4914\times r' + r'
r' = 1.324 m
r = 1.976 m
Therefore, the magnitude of the force on M₃ is 6.03 * 10¹¹ N and by placing object of 53.0 kg 1.976 m from 175 kg object and 1.324 m from 475 kg object.
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Which of the following statements about a motor is correct?
In a motor, an electric current creates a magnetic field.
In a motor, a magnetic field induces an electric current.
In a motor, a magnetic current creates an electric field.
In a motor, an electric current induces a magnetic current.
The correct statements about a motor is, in a motor, an electric current creates a magnetic field.
first option is the correct answer.
What is electric motor?
An electric motor is an electrical machine that converts electrical energy into mechanical energy.
Electric motor or dc motor works on the principle that when an electric current is passed through a conductor placed normally in a magnetic field, a force acts on the conductor as a result of which the conductor begins to move and mechanical energy is obtained.
Thus, we can conclude that an electric motor is an electrical device in which an electric current creates a magnetic field through the current flowing in the conductor.
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9-28. at what distance downwind will the plume from a stack begin mixing downward if an inversion layer exists at a base height of 265 m and the wind speed is 4.0 m/s on an overcast summer afternoon? the effective stack height is 85 m.
A factory releases a plume into the atmosphere on an overcast summer afternoon at x = 23.96 km
Plume standard deviation
Sz= 0.47 (L-H)
= 0.47 (514-54)
= 216.2
for overcast Condition stability class is D
We Know S₂ = exd + f
for class D we have C = 44.5
d= 0.516
f = -13
216.2= 44.5 [tex]x^{0.516}[/tex] - 13
x = 23.96 km
The Old English word plmfether is where the modern term plume originates. Further back, the Latin word pluma, which means "feather" or "down," may be found. A big puff of smoke or any other material that expands into the air from a single source is frequently referred to as a plume.
A huge amount of something that rises into the air in a column is called a plume of smoke, dust, fire, or water. Everywhere around Kabul, one could see the black smoke cloud rising.
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Stranger anxiety is less likely to appear in conjunction with Multiple Choice
O absence of the mother.
О familiar settings.
O feelings of insecurity
O unfamiliar settings.
Stranger anxiety is less likely to appear in conjunction with unfamiliar settings
Stranger anxiety is typically triggered by the presence of unfamiliar people or settings. Therefore, it is less likely to appear in a multiple choice setting since the environment is familiar and there is no perceived threat from strangers. Furthermore, the presence of the mother or other familiar figures can provide a sense of security and reduce the likelihood of stranger anxiety.
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a yo-yo can be thought of a solid cylinder of mass m and radius r that has a light string wrapped around its circumference (see below). one end of the string is held fixed in space. if the cylinder falls as the string unwinds without slipping, what is the acceleration of the cylinder?
The acceleration of the cylinder is 6.5 m/s^2 that means velocity of the cylinder is increasing by 6.5 m/s in one second.
The change in velocity per unit of time; it is a vector quantity and must have a direction, symbol is a and SI unit is m/s/s or m/s^2.
Since velocity is a vector quantity involving speed and direction, acceleration occurs when the speed of an object changes, and/or the direction of the object changes.
The definition of acceleration can be expressed mathematically as, a = Vf-Vi/t.
where, vf is the final velocity and vi is the initial velocity. The change in time is usually expressed as simply t because you assume that the initial time was zero.
The net force acting on the yo-yo is
Fnet = mg-T
ma=mg-T
now T= mg-ma
net torque acting on the yo-yo is
Tnet = Iα
I= moment of inertia (= 0.5 mr^2 )
α = angular acceleration
Tnet = 0.5mr^2(a/r)
Tr= 0.5mr^2(a/r)
(mg-ma)r=0.5mr^2(a/r)
a(1/2+1)=g
a= 2g/3
a= 2×9.8/3 = 6.5 m/s^2
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Examine this DNA strand: TACCTGGCA. The sequence that would be found on the other side of theDNA molecule would be: a. TACCTGGCA b. ATGGACCGT c. UAGGUGGCA d. AUGGACCGU
If we have the DNA strand TACCTGGCA then the sequence that would be found on the other side of the DNA molecule would be b. ATGGACCGT.
What is the complementarity of DNA strands?The complementarity of DNA strands is a rule that states Adenine or A always pairs with Thymine or T, while Guanine or G always pairs with Cytosine or C.
Therefore, with this data, we can see that the complementarity of DNA strands depends on the matches between different nucleotides in the DNA strand such as A with T or C with G.
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suppose a woman does 500 j of work and 9500 j of heat transfer occurs into the environment in the process. what is the change in her internal energy, assuming no change in temperature or consumption of food? (that is, there is no other energy transfer.)
The change in internal energy is 10,000 J.
Given that, Work = 500 J
Heat Transfer = 9500 J
Internal energy can be altered by the temperature difference between a system and its surroundings.
We need to calculate the change in internal energy.
Let us use the equation of internal energy of a system,
ΔU = Q - W
where, Q is heat
W is work done
Let us put the values in the formula,
ΔU = -9500 - 500 = -10,000 J
Negative sign of heat is taken as the heat is lost in the process.
Thus, the change in internal energy is 10,000 J.
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while observing a storm, you see a flash of lightning, and hear the thunder 5.9 seconds later. assuming the speed of sound through the air is 331 m/s, how far away was the lightning strike, in km?
If a flash of lightning, and hear the thunder 5.9 seconds later, the distance of the lightning strike is 1 mile.
A mile is longer than a kilometer. To find out whether a kilometer or a mile is longer, convert them to feet. One mile is 5,280 feet. One kilometer is 3,280.84 feet.
Most roads have speed limits between 25 and 60 mph, so you can expect to drive one mile in 1 to 2.5 minutes. Whatever you do, don't let the math get you off the road! And don't forget that it's important to properly insure your vehicle.
The 10,000 steps are about 5 miles or 1 hour and 40 minutes, depending on stride length and walking speed. But that doesn't mean you have to do it all in one walk.
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Please help me I have physics tomorrow and im so confused
Answer:
trust the process
Explanation:
quadratic formula, use synthetic division also use the p-q method for the roots and factoring.
a super happy fun ball is dropped from a height of 11 feet and rebounds 13 14 of the distance from which it fell. how many times will it bounce before it's rebound is less than 1 foot? it will bounce times before its rebound is less than 1 foot. how far will the ball travel before it comes to rest on the ground? it will travel feet before it comes to rest on the ground.
Therefore, the super happy ball will take 32 bounces and travel the distance of less than 1 foot.
First bounce = 13 / 14 × 10 = 130 /14
using geometric progression where the common ratio = 13/14, the first bound = 130/14
ar^n-1 < 1
substitute the values into the equation
130 /14 × 13/14^(n-1) < 1
(13/14)^n-1 < 1÷ (130/14)
(13/14)^n-1 < 14 / 130
take log of both side
log (13 /14)^n-1 < log ( 14/130)
n-1 log (13 /14) < log ( 14/130)
since log (13/14) negative
n-1 > (log( 14/130)) ÷ ( log (13/14)
n - 1 > 30.07
n > 30.07 + 1 > 31.07
The 32 bounce will the travel less than 1 foot.
Therefore, the super happy ball will take 32 bounces and travel the distance of less than 1 foot.
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Suppose that a high-energy neutron is travelling at a speed of 18 million m/s. Find its energy in MeV (million electron volts (eV) ).
The Energy of the a high-energy neutron be 940.51 MeV.
What is speed?Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.
Mass of neutron: m₀ = 939.6 MeV/c².
a high-energy neutron is travelling at a speed of 18 million m/s
v = 1.8 × 10⁷ m/s.
Hence, Energy of the neutron be = m₀c²/√(1- v²/c²) = 940.51 MeV.
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An IC with a switching rate of 4GHz4GHz and VDD=6VVDD=6V is dissipating 60W60W. What will be the power dissipation if we change VDDVDD to 5V5V and the switching rate to 3GHz3GHz while keeping the activity factor the same?
The power dissipation after changing voltage and switching rate will be 31.25 Volt.
What is power dissipation?
The greatest power that an integrated circuit (IC) can continuously dissipate under a given thermal environment is known as power dissipation.
For 1st case,
switching rate: f = 4 GHz.
power dissipation: P = 60 W.
voltage drop: [tex]V_{DD}[/tex] = 5 V.
So, load capacitance: [tex]C_L[/tex] = [tex]\frac{P}{V_{DD}^{2} *f}[/tex] = 60/{6^2×4} f = 0.417 f.
Now for 2nd case:
switching rate: f = 4 GHz.
voltage drop: [tex]V_{DD}[/tex] = 6V.
Hence, power dissipation in this case: P = [tex]{C_L*V_{DD}^{2} *f}[/tex]
= 0.417 × 5² × 3 V
= 31.25
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Is it possible for an object that has constant acceleration to also have a changing velocity?
Explain.
Sure, it can.Your inquiry specifies "constant acceleration" as a criterion.The example with constant acceleration with varying trajectory is parabolic motion.
What does parabolic motion mean?Gravity will cause an object travelling forward in a single direction to fall inside a parabolic arc.The trajectory of a projectile travelling forward due to the momentum of the an initial thrust becomes parabolic because projectiles are objects that are exclusively impacted by gravity.
What does parabolic motion look like?When water is held at an angle and connected to a source of water or even a water tap, the water flows out in a projectile motion.Because the water tends to move both vertically and horizontally at the same time, its route is unmistakably parabolic.
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Stars begin burning helium to carbon when the temperature rises in the core. This temperature increase is caused by a. gravitational collapse. b. fusing hydrogen into helium in the core. c. fusing hydrogen into helium in a shell around the core. d. degenerate-electron pressure.
Stars begin burning helium to carbon when the temperature rises in the core. This temperature increase is caused by fusing hydrogen into helium in the core. The correct answer is B.
In the universe, hydrogen fusion is the most common way to produce energy. At the centers of our Sun and other stars, where it has a density more than 70 times greater than that of steel, the gravitational force is used to fuse hydrogen. As a result, fusion produces all of the heat and light on Earth so the temperature increase. Stars begin burning helium to carbon when the temperature rises in the core. Chemical element helium has the atomic number 2 and the letter He after it. It is a colorless, odorless, tasteless, inert, monatomic gas that is the first member of the noble gas group in the periodic table and is not toxic.
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