The height of the tower is 20.68 m
What is simple harmonic motion?Simple harmonic motion or SHM is defined as motion in which the restoring force is directly proportional to the displacement of the body from its mean position. The direction of this restoring force is always in the direction of the intermediate position. The acceleration of a particle undergoing simple harmonic motion is given by α(t) = -ω² x(t). where, ω is the angular velocity of the particle.
Using,
T = 2π√(L/g)
Where, T = period of the oscillation
L = Height of the tower
g = Acceleration due to gravity
Make L the subject of the equation
L = gT²/(4π²)
Given: T = 9.12 s
g = 9.8 m/s²
π = 3.14
Substitute into equation 2
L = 9.8(9.12²)/(4×3.14²)
L = m
Hence the height of the tower = 20.68 m
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what will happen to the solar system when the milky way galaxy collides with the andromeda galaxy in billions of years
The solar system when the milky way galaxy collides with the andromeda galaxy in billions of years will likely be unharmed.
For milky way galaxy,
Size = 100000 lightyears acrossNumber of stars = 100 billionType = Spiral galaxyAge = 13.6 billion yearsFor Andromeda galaxy,
Size = 220000 lightyears acrossNumber of stars = 1 trillionType = Spiral galaxyAge = 10 billion yearsWhen these galaxies collide in about 5 billion years from now, the central black hole of Andromeda galaxy with a mass of 100 million suns will swallow up the central black hole of milky way galaxy with a mass of 4 million suns.
Therefore, the solar system when the milky way galaxy collides with the andromeda galaxy in billions of years will likely be unharmed.
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A steel bar has a width of 10 cm at 50oC At what temperature will it fit exactly into a hole of constant width 10.005 cm if coefficient of linear expansion of steel is 11x10-6 C-1)? A. 75oC B. 0.005oC C. 75.5oC D. -75.50C
The temperature at which the bar will fit exactly into a hole of constant width 10.005 cm if coefficient of linear expansion of steel is 11x10-6 C-1 is 95.5 °C
Δ L = L - Lo
Δ T = T - To
Δ L = Change in length
L = Initial length
Lo = Final length
α = Co-efficient of linear expansion
Δ T = Change in temperature
T = Initial temperature
To = Final temperature
L = 10 cm
Lo = 10.005 cm
T = 50 °C
Δ L = - 0.005 cm
α = 11 * [tex]10^{-6}[/tex] / °C
Δ L / L = α Δ T
Δ L / α L + T = To
To = ( - 0.005 ) / 11 * [tex]10^{-6}[/tex] * 10 + 50
To = 45.5 + 50
To = 95.5 °C
Therefore, the temperature at which the bar will fit exactly into a hole is 95.5 °C
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Answer:
The steel bar will fit exactly into the hole at a temperature of 95.45°C.
Explanation:
To find at what temperature the steel bar will fit exactly into a hole of a constant width, use the Linear Expansion equation.
Linear Expansion equation[tex]\boxed{L_1-L_0=L_0 \cdot \alpha \cdot (T_1-T_0)}[/tex]
where:
L₀ is the initial width.L₁ is the final width.α is the coefficient of thermal linear expansion.T₀ is the initial temperature.T₁ is the final temperature.As we want to find the final temperature, rearrange the equation to isolate T₁:
[tex]T_1=\dfrac{L_1-L_0}{L_0 \cdot \alpha}+T_0[/tex]
Given values:
L₀ = 10 cmL₁ = 10.005 cmα = 11 × 10⁻⁶ 1/°CT₀ = 50°CSubstitute the values into the equation:
[tex]\implies T_1=\dfrac{10.005-10}{10 \cdot 11 \times 10^{-6}}+50[/tex]
[tex]\implies T_1=\dfrac{0.005}{0.00011}+50[/tex]
[tex]\implies T_1=95.45^{\circ}\text{C}\; \sf (2\;d.p.)[/tex]
Therefore, the steel bar will fit exactly into the hole of constant width 10.005 cm at a temperature of 95.45°C (to two decimal places).
Note: The answer is not one of the options provided.
A 0. 25-kg toy car experiences a net force of 9. 0 n while slowing down to a complete stop. What is the magnitude of its acceleration?.
Answer:
a = 36 m/s
Explanation:
Given:
F = 9 N
m = 0.25 kg
a= ?
Use the equation:
F = ma (divide by m on both sides to get a alone)
a = F/m= 9/0.25 = 36 m/s
What is the term of a Living to Serve project? four years one year six months one month
Answer:
six months
Explanation:
Trust me on this i just answer it yesterday
a 40-kg crate is being lowered with a downward acceleration is 2.0 m/s 2 by means of a rope. (a) what is the magnitude of the force exerted by the rope on the crate? (b) what would be the magnitude of the force exerted by the rope if the crate were being raised with an acceleration of 2.0 m/s 2?
a) Force exerted by the rope on the crate is equal to 312 N.
b) Force exerted by the rope if the crate were being raised with an acceleration of 2.0 m/s² is 472N.
What is force?In science, a force is a push or a pull in a specific direction. When one object interacts with another object, forces are created.
In physics, arrows are used to represent forces. An arrow pointing in the same direction will indicate the force's direction.
Given,
mass of a crate, m = 40 kg
Acceleration of crate, a = 2 m/s²
a) As carte is falling down, net force exerted by rope on the carte is given by : F = m(g-a)
F = 40(9.8-2)
F = 312 N
∴ required force exerted by the rope on the crate is equal to 312 N.
b) If the crate was raised with an acceleration of 2.0 m/s², than:
F = m(g+a)
F = 40 (9.8 + 2)
F = 472 N
∴ required force exerted by the rope if the crate were being raised with an acceleration of 2.0 m/s² is 472N.
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when you measure gravity at any location on this equipotential surface you would get the same result?
There are an infinite number of points where the gravitational potential is always the same. They are called equipotential surfaces. Of course, mean sea level itself is not an equipotential surface.
Forces other than gravity, such as temperature, salinity, ocean currents, and wind, are at work. The size of the gradient vector field (which describes the steepness of the gradient) is not the same for all points on the contour. Therefore, the strength of gravity varies along the geoid, and the geoid is not, as one blogger put it, "the same shape of gravity wherever you stand."
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a section of a highway is known to have a free-flow speed of 90 km/h and a capacity of 3300 veh/h. if we assume a linear speed-density relationship, what is the value of jam density?
The value of jam density is 17.864 kml.
Jam density refers to excessive visitor density while site visitors waft stops absolutely, commonly within the range of 185–250 cars in keeping with mile per lane. but, calculations approximately congested networks are greater complex and rely extra on empirical research and extrapolations from real avenues counts on on.
Density is increased with the aid of human beings joining a street from on-ramps, and this causes automobiles to gradually down, i.e. human beings are generally horrific at merging at pace. Then some humans who've been held up inside the left-hand lane flow to the center lane which causes the identical problem in the middle lane – visitors back up.
Given,
у = 90 km/ max = 3300 ven Ihr Sa Calculate Jam density,
• ІК, 4- 27 = 900 x Е. 4 allega 40 vellum) Put all valu
- 224² = 1980 4 - 28350 to a 224²-19804 + 28350 20 after folving
TH=72.14 kalho and 14a 17.864 kml.
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astronauts connect a line between their 3200-kg spaceship and a 7700-kg asteroid. using the ship's engine, they pull on the asteroid with 620 n of force. if the asteroid and the ship are initially 450 meters apart, how long does it take for the ship and asteroid to meet?
As the spaceship pull the asteroid with 620 N of force, they will meet after 105.4 seconds.
The gravitational force between the ship and the asteroid is very small compared to the force caused by pulling the asteroid. Hence, we can assume that the only force applied on the asteroid is the pulling force.
Using the Newton 2nd Law of motion:
F = m . a
Where
F = pulling force = 620 N
m = mass of the asteroid = 7700 kg
a = acceleration
Hence,
a = F/ m = 620 / 7700 = 0.081 m/s²
Using the equation of motion:
s = 1/2 . a t²
Where:
s = distance = 450 meters
t = time
Hence,
450 = 1/2 . (0.081) t²
t² = 11,111.11
t = 105.4 seconds
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how many times more gravitational potential energy would the same lander have on top of a 350-m hill on earth?
The same lander's gravitational potential energy on top of a 350-meter hill on Earth would be 6.
What is gravitational potential energy?The law of gravity gives rise to the generic term for gravitational potential energy, which is equal to the effort made to defy gravity in order to move a mass to a specific location in space. It makes logical to choose the gravitational potential energy zero at an infinite distance away because, due to the inverse square nature of the gravity force, the force approaches zero for huge distances. Since gravity performs positive work as a mass approaches a planet, the gravitational potential energy is then negative.When a mass approaches a huge body, it enters a "bound state," where it is trapped until an external source of energy enables it to break free. The gravitational potential energy of mass m has the following general form: [tex]U= \frac{-GMm}{r}[/tex]Where r is the distance between their centers, M is the mass of the attracting body, and G is the gravitational constant.This is the gravitational potential energy representation that can be used to determine an object's escape velocity from the pull of the earth's gravity.To learn more about gravitational potential energy, refer to
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is there a way of getting the cockpit from turning black after you get so high on the x plane 11 avro rj 100 jet?
Slewing the aircraft at low altitude is the only way of getting the cockpit from turning black after you get so high on the x plane 11 avro rj 100 jet. These are the traditional aircraft variety.
If you fly at high altitude in an aircraft which is not pressurized (or with wrong pressurization settings), the cockpit and external views will darken and then go black. If it happens, try slewing the aircraft at low altitude (<10.000 ft) and see if the image reappears after a while.
An aircraft is a vehicle or machine that is able to fly by gaining support from the air and has cockpit. It counters the force of gravity by using either static lift or by using the dynamic lift of an airfoil, or in a few cases the downward thrust from jet engines.
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Astronauts in training are subjected to extreme acceleration forces bu the centripetal forces in a gaint centrifuge. a, calculate the approximate centripetal force an on astronaut of mass 80 kg if the centrifuge rotates once 2 second. b, approximately how many times greater than the astronaut weight is this force?
In a massive centrifuge, centripetal forces accelerate trainee astronauts to extremely high speed is 49.3 frac ms2 and 5.
How much weight is an astronaut under this force?During a rocket launch, an astronaut's maximum g-force is typically around 3gs. The passengers can withstand this, which is equivalent to three times the gravity that people experience while they are on Earth.
a)a c=omega2 r=frac4 pi 2 r, T2=49.3 frac ms2, and a c = 2 r= T 2
4π \s2 \s r \s \s =49.3 \ss \s
m \s \s ,
b)frac = k=F aP=\frac{a c}
g=5.k= P \sF \s\s = \sg \sa \ \s =5.
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in a particular wire in a circuit, conventional current flows in the y direction. what is the direction of the magnetic field due only to the wire just above (in the z direction) the wire?
The Right Hand Thumb Rule, which asserts that if the thumb is kept pointing in the direction of the current, the curl of the other fingers indicates the direction of the magnetic field, is along the eastern direction if the current is flowing to the north.
What do you understand from right hand thumb rule?The right hand rule is a hand mnemonic in physics that is used to remember which way three-dimensional axes or parameters point. The right hand rule was developed in the 19th century by British physicist John Ambrose Fleming for electromagnetism applications. When the other two parameters are known, it is most frequently employed to identify the direction of the third parameter (magnetic field, current, magnetic force).
The right hand rule has a few modifications, which are described in this section. A conductor, like a copper wire, induces an electric current when it passes through a magnetic field (B). Faraday's Law of Induction is the name given to this phenomenon.
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what is the relationship between the incident and reflected angles of a beam of light with different types of mirrors?
The relationship between the incident and reflected angles of a beam of light with different types of mirrors that both the angles are equal
According to the law of reflection, the angle of incidence equals the angle of reflection. Irrespective of mirror , whether it is a concave mirror , convex mirror or plane mirror , this law remain same in all condition where the incident angle is always equal to reflected angle .
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Translates into algebraic language: The quotient of the difference of two numbers between their product.
Hello..!
Algebraic language
It is a symbolic way of expressing mathematical relationships with numbers, letters, and symbols.
We translate the statement into algebraic language:
The quotient of the difference of two numbers between the product of them.
The quotient: refers to a division.The difference: indicates a subtraction.Two numbers: let the two numbers be “a” and “b”.Product: denotes a multiplication.The algebraic expression would become:[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \blue{\boxed{ \bold{\boxed{ \bold{\bf \dfrac{a-b}{a \cdot b}}}}}}[/tex]
an ideal spring is used to stop blocks as they slide along a table without friction. a 0.90 kg block traveling at a speed of 2.4 m/s can be stopped over a distance of 0.14 m once it makes contact with the spring. a rectangular block on a level surface moves at velocity v to the right towards a spring that rests on the surface and is attached to a fixed mount on the right. what distance would a 1.15 kg block travel after making contact with the spring if the block is traveling at a speed of 3.6 m/s before it makes contact with the spring?
The distance moved by the block as follows by using Law of conservation energy is 0.0173N/m.
Apply law of conservation energy is,
1/2m1v1^2 = 1/2 k1x1^2
k1 = m1 v1^2/x1^2
=117.5 N/m
1.15 Kg block :-
1/2m2v2^2 = 1/2 k1x2^2
x2 =[tex]\sqrt{m2v2^{2} }[/tex]/ k1
x2 = 0.0173 N/m
According to the law of conservation of energy, a system that isn't connected to any other system has a fixed amount of total energy that is considered to be preserved over time. Energy cannot be created or destroyed; it can only be transformed or transferred from one form to another, Traditionally, conservation of mass and energy were separate concepts. However, special relativity demonstrated how mass and energy are related to one another through the equation E = mc2, and as a result, science now holds that mass-energy are conserved as a whole. This implies that any mass-containing object can theoretically transform into pure energy and vice versa. However, it is thought that this is only feasible under the most extreme physical circumstances, such as those that probably existed in the universe right after the Big Bang or when black holes emit Hawking radiation.
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If the X-component of the momentum is 460000 Kg.m/s and the Y-component is
230000 Kg.m/s. Find the magnitude of the momentum [r].
The the magnitude of the momentum is 514295 Kg·m/s.
What is momentum?Momentum is the product of a particle's mass and velocity. Being a vector quantity, momentum possesses both magnitude and direction.
Given parameters:
X-component of the momentum : Pₓ = 460000 Kg.m/s
Y-component of the momentum : [tex]P_Y[/tex]= 460000 Kg.m/s
We have to find; the magnitude of the momentum : P = ?
We know that momentum is vector quantity and the magnitude of the momentum : P = √( Pₓ² + [tex]P_Y[/tex]²)
= √(460000² + 230000²) Kg.m/s .
= 514295 Kg·m/s .
Hence, the the magnitude of the momentum is 514295 Kg·m/s.
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9. if suddenly, the sun were to quantum tunnel to a different dimension and stop applying a force on the planets, in what kind of path would the planets move? explain.
The planets move on linear motion without acceleration. Motion in one spatial dimension is described as linear motion, often known as uniform motion or rectilinear motion.
Explain about the Linear motion?Moving in a straight line is the motion that an object naturally exhibits. A forceless item will move in a straight line indefinitely, according to Newton's First Law of Motion.
An object is said to be moving linearly when it has a tendency to move in a straight line. Rectilinear motion is another name for linear motion. Many of the things we do every day, like walking, bowling, playing on a slide, etc., exhibit linear motion in reality.
Both the ultimate displacement and the velocity are positive, indicating that they are moving in the same direction. The link between displacement, average velocity, and time is described by the equation x = x0+(average v)t.
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an empty beaker is weighed and found to have a mass of 130g. a measuring cylinder contains 50cm3 of an unknown liquid. all the liquid is poured into the beaker which is again weighed and found to have a mass of 170 g. calculate the density of the liquid.
Taking into account the definition of density, the density of the liquid is 0.8 g/cm³.
Definition of densityDensity is defined as the property of matter, whether solid, liquid, or gas, that allows the amount of mass in a given volume of a substance to be measured.
The expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:
density= mass÷ volume
It can be deduced that density is inversely proportional to volume: the smaller the volume occupied by a given mass, the higher the density.
Density of the liquidIn this case, you know that:
Density= ?Mass of the empty beaker= 130 gMass of liquid + Mass of the empty beaker= 170 gMass of liquid= (Mass of liquid + Mass of the empty beaker) - (Mass of the empty beaker)= 170 g - 130 g= 40 gVolume= 50 cm³Replacing in the definition of density:
density= 40 g÷ 50 cm³
Solving:
density= 0.8 g/cm³
In summary, the density in this case is 0.8 g/cm³.
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the motor of a ski boat generates an average power of when the boat is moving at a constant speed of 12 . when the boat is pulling a skier at the same speed, the engine must generate an average power of . what is the tension in the tow rope that is pulling the skier?
The tension in the tow rope that is pulling the skier is 5283.33 N
since we are given the average power of 2.74 × 10^4 W., with a speed of 12 m/s. So, the tension acting on the motor at this point is :
P= T X v
T = P/v =2.74 × 10^4/ 12 =2283.33 N
For the second case, the average power is 9.20 × 10^4 W, so the tension will be :T = P/v = 9.20 × 10^4 /12 = 7666.66
so the tension in the tow rope is : 7666.66 -2283.33 = 5283.33 N
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the motor of a ski boat generates an average power of 2.74 × 10^4 W when the boat is moving at a constant speed of 12 m/s . when the boat is pulling a skier at the same speed, the engine must generate an average power of 9.20 × 10^4 W. what is the tension in the tow rope that is pulling the skier?
suppose radius of earth known to 3595 miles with tolerance of - 0.1 miles what effect does this have on calculation of surface area
The effect of - 0.1 miles tolerance on a 3595 miles radius of earth's surface area calculation is 0.00556 %
SA = 4 π r²
SA = Surface area of a sphere
r = Radius
Actual surface area,
r = 3595 mi
SA = 4 * 3.14 * 3595²
SA = 162325754 mi²
Surface area with tolerance,
r = 3595 - 0.1
r = 3594.9 mi
SA = 4 * 3.14 * 3594.9²
SA = 162316723.5 mi²
% error = ( Actual value - Error value ) / Actual value
% error = ( 162325754 - 162316723.5 ) / 162325754
% error = 9030.5 / 162325754
% error = 5.56 * [tex]10^{-5}[/tex]
% error = 0.00556 %
Therefore, the effect of - 0.1 miles tolerance on a 3595 miles radius of earth's surface area calculation is 0.00556 %
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at the instant you pass through the equilibrium position of the spring, you drop the sandbag out of the cart onto the ground. part a what effect does dropping the sandbag out of the cart at the equilibrium position have on the amplitude of your oscillation?
Dropping sandbags does not change cart speed. After the bag drops no energy leaves the system, so the cart always returns to the equilibrium point with the same kinetic energy and thus the same maximum velocity.
This means that the equilibrium position of the horizontal spring is independent of the mass attached to it. For example, if a spring is replaced with a rigid spring of the same natural length, the same considerations apply. That is, the equilibrium position does not change. The duration of the pendulum does not depend on the mass of the weight.
Changing the concentration of something in equilibrium does not change the equilibrium constant. The only thing that changes the equilibrium constant is a change in temperature. Changing the concentration of something in the mixture changes the position of the equilibrium.
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if you run the wire through a strong horseshoe magnet, subjecting 5.00 cm of it to a perpendicular 1.75 t field, what force is exerted on the segment of wire in n?
According to the given statement 17.15 N force is exerted on the segment of wire in n.
How would you define magnitude?Magnitude is essentially "distance or quantity" in the context of physics. In terms of motion, it shows the absolute and relative size, direction, or movement of an object. It is used to describe there is something volume or scope. Quantity in physics typically refers to a size or quantity.
Briefing:The magnitude of the magnetic force on a conducting wire of length I carrying current II, and making an angle θ with a magnetic field of strength B is given by:
[tex]$|\vec{F}|$[/tex] = I l B sin 0
Rearranging to get the current:
I = [tex]$|\vec{F}|$[/tex]/ lB sin0
= 7 * 10⁻³ / 0.75 * (5.5 * 10⁻⁵)sin60
= 195.95 A
[tex]$|\vec{F}|$[/tex] = I l Bsin0
= (195.95)(0.05)(1.75)sin90
=17.15 N
I = 195.95 I
[tex]$|\vec{F}|$[/tex] = 17.15 N
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the total rms current of the input current to a rectifier is 5 a. the fundamental current has an rms value of 3a. what is the rms value of the distortion current? idist
The distortion current is then equal 0.826 A.
The total rms current of the input current to a rectifier is 5 A. The fundamental current has an rms value of 3 A.
The fundamental current and distortion current are both made up of harmonics. We can find their values by taking the square root of their respective rms values:
5 A = 1/√5
= 2.23 A
3 A = 1/√3
= 1.333 A
The distortion current is then equal to 1.333 * √2 = 0.826 A
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coherent light of wavelength 690 nm falls on two very small slits and produces an interference pattern on a screen 2.6 m away. on this screen, the thrid order bright firnge is 38 mm from the central bright fringe. what is the lsit separation
The separation between two similar points (adjacent crests) in two cycles of a waveform signal traveling across space or along a wire.
What is an example of a wavelength?Here are some wavelength examples: Yellow Light is a prime example. The wavelength range of all visible light is 400 to 700 nanometers (nm). The wavelength of yellow light is 570 nanometers or such. Wavelength (nm)
The Attempt at a Solution
My givens are: λ = 690nm L= 2.6m x438mm using equation x=L(
I got: 0.038 = 2.6m(690 x 10-9(4)/d) d=2.6m(690 x 10-9(4)/d)/0.038)= 1.4x10-4m
0.038 = 2.6m(690 x 10-9(4)/d) d=2.0m(690 x 10-9(4)/d)/0.038)= 1.4x10-4m
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what frequency fapproach is heard by a passenger on a train moving at a speed of 18.0 m/s relative to the ground in a direction opposite to the first train and approaching it? express your answer in hertz.
A passenger on a train traveling at a ground speed of 18.0 m/s in the opposite direction of the first train can hear the frequency approach at 302.05 Hz.
Which does frequency mean?The number of waves that pass a fixed place in a unit of time is referred to as frequency in physics. It also indicates how many vibrations or cycles a body in periodic motion makes in a given amount of time.
Speed is 18.0 m/s.
Consider a train moving through still air at a speed of 30.0 m/s. The train whistle produces a note with a 262 Hz frequency.
We must determine the periodicity.
Using the frequency formula
f' = f(v + [tex]v_{p}[/tex]/v - [tex]v_{s}[/tex])
Fill out the formula with the value,
f' = 262(3441+18/344-30)
f' = 302.05Hz
Thus, 302.05 Hz is the frequency.
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Two vehicles r moving in the same direction one has the velocity of 24m/s and another has 18m/s.find their relative velocity & also their relative velocity when they are in opposite direction
When a body is moving in the same direction, its relative speed is 6m/s, while when it is moving in the opposite direction, it is 42 m/s.
Describe relative velocity and its unit.The units used to measure speed and velocity are the same. The meter is the SI unit for measuring both distance and displacement. The second is the second as defined by the International System of Units. Two meters per second divided by two is the SI unit of velocity and speed.
What does Class 11 formula for relative velocity mean?It is calculable using an intermediary reference frame. The velocity vector sum can be used to represent this simply. vAB = vA - vB is the way to express the relative velocity formula.
velocity is the same as the relative velocities of A and B.
A=24,B=18
Vab=24-18=6m/s
In opposite direction
Vab=24-(-18)=42m/s
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a student suspends a 0.3 kg mass from an ideal spring and measures the equilibrium displacement of the spring to be 5.5 cm. calculate the spring constant.
The value of the spring constant of the ideal spring is 106.9 N/m.
The mass suspended by the student is 0.3 kg from the ideal soring and the equilibrium displacement is 5.5 cm or 0.055 cm.
The work done by the gravity will be equal to the work done by the spring,
Mgx = 1/2Kx²
Where,
x is the equilibrium displacement,
K is the spring constant,
M is the mass,
g is acceleration due to gravity,
Putting values,
0.3 x 9.8 x 0.055 = 0.5 x K x 0.055 x 0.055
K = 106.9 N/m.
The spring constant is 106.9 N/m.
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the earth's atmosphere is transparent tomost waves in thequestion 2 options:visible part of the spectrum.infrared part of the spectrum.ultraviolet part of the spectrum.entire electromagnetic spectrum.
The earth's atmosphere is transparent to most waves is visible part of the spectrum(option -1).
What wavelengths are transparent to the atmosphere of the Earth?To some microwave radiation wavelengths, but not to others, the Earth's atmosphere is transparent. The Earth's atmosphere is more easily penetrated by the longer wavelength microwaves than by the shorter ones (wavelengths more akin to radio waves).
When compared to open, closed, or partially closed windows, the Earth's atmosphere is only transparent to particular wavelengths of light. All of the radio waves, the majority of the IR light, and all of the visible light pass through the atmosphere.
It should be noted that the atmosphere is generally opaque in the infrared spectrum and completely transparent in the visible and infrared bands. In our hypothetical case, this would be entirely transparent (no absorption) in the solar band and uniformly absorb (and emit) throughout the earth emission band.
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a 500-w device is connected to a 120-v ac power source. what is the peak voltage across this device? a) 4.2 v b) 5.9 v c) 120 v d) 150 a e) 170 v
The peak voltage across this device would be 170v (rounded). So the answer is E.
What is peak voltage?It is the highest point or highest value of voltage for any voltage waveform. It is a power quality issue that occurs when devices that use Pulse Width Modulation, such as a variable frequency drive, is added to a power system. The resulting peak voltage is a result of the switching speed and length of cable (increasing impedance).
Now, we need to find the peak voltage based on the information given from the question.
Vrms = 120V (given)
the formula is Vrms = Vpeak / [tex]\sqrt{2}[/tex]
Vpeak = [tex]\sqrt{2[/tex]Vrms
= [tex]\sqrt{2}[/tex] * 120
Vpeak = 170v (rounded)
So, the peak voltage of this device would be (E) 170v.
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What is the kinetic energy of a car that has a mass 2,000 kg and has a velocity of 10 m/s?
The Kinetic Energy of the given body is 100,000
Kinetic energy is the energy possessed by a body as a virtue of its motion or movement. It is defined under Mechanical energy.
The mechanical energy of a body is always conserved. Potential energy along with Kinetic energy maintains the mechanical energy of a body.
If talking solely about mechanical energy the dip in one leads to a rise in the other.
The potential energy of a body is the energy possessed by the virtue of its position in distance from the surface of the Earth.
The formula of Potential energy is=mgh
where h is the distance from the surface of the earth where the body is placed
while g is the gravitational force exerted by the earth on the body
The formula of Kinetic Energy is: 1/2xmx[tex]v^{2}[/tex]
m=2000kg (Provided in the question)
v=10m/s (Provided in the question)
Then Kinetic Energy of the body=1/2x m x [tex]v^{2}[/tex]
putting values in the equation
K.E=1/2 x 2000 x [tex]10^{2}[/tex]
K.E=1/2 x 2000 x 100
canceling 2000 by 2
K.E = 1000 x 100
K.E= 100,000
Where Kinetic energy is represented as K.E
Thus, the Kinetic Energy of the given body is 100,000
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