The speed of the truck relative to the highway is 44m/s.
Given that the radius of curvature is [tex]$R=150 \mathrm{~cm}$[/tex]
Then the focal length is [tex]$\mathrm{f}=\mathrm{R} / 2=75 \mathrm{~cm}$[/tex]
Object distance is [tex]$\mathrm{s}=2.0 \mathrm{~m}$[/tex]
Speed of imge is [tex]$v^{\prime}=1.5 \mathrm{~m} / \mathrm{s}$[/tex]
From thin lens equation
[tex]$$\begin{aligned}1 / \mathrm{f} & =1 / \mathrm{s}+1 / \mathrm{s}^{\prime} \\\mathrm{s}^{\prime} & =\mathrm{f}^* \mathrm{~s} /(\mathrm{s}-\mathrm{f}) \\\mathrm{s}^{\prime} / \mathrm{s} & =\mathrm{f} /(\mathrm{s}-\mathrm{f})\end{aligned}$$[/tex]
Velocity of the image is [tex]$v^{\prime}=d s^{\prime} / \mathrm{dt}$[/tex]
[tex]$\mathrm{v}^{\prime} & =\left(d \mathrm{~s}^{\prime} / \mathrm{ds}\right)(\mathrm{ds} / \mathrm{dt}) $[/tex]
[tex]$ =[\mathrm{f} /(\mathrm{s}-\mathrm{f})]^2\left(\mathrm{v}^{\prime \prime}\right) $[/tex]
[tex]$ =\mathrm{f}^2 \mathrm{v} /(\mathrm{s}-\mathrm{f})^2$[/tex]
[tex]$\mathrm{v}^{\prime \prime} & =\mathrm{v}^{\prime}(\mathrm{s}-\mathrm{f})^2 / \mathrm{f}^2 $[/tex]
[tex]$= & \mathrm{v}^{\prime}(\mathrm{s}-\mathrm{f})^2 / \mathrm{f}^2$[/tex]
[tex]& =(1.5 \mathrm{~m} / \mathrm{s})(2.0 \mathrm{~m}-(-0.75))^2 /(-0.75 \mathrm{~m})^2 $[/tex]
[tex]$=20.17 \mathrm{~m} / \mathrm{s}$[/tex]
[tex]$$\text { Then we get } \quad v^{\prime \prime}=v^{\prime}(s-f)^2 / f^2$$[/tex]
Therefore the speed of the truck relative to the highway [tex]v=24+20.17=44.17 \mathrm{~m} / \mathrm{s}$ or $44 \mathrm{~m} / \mathrm{s}$[/tex].
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A stone is dropped from the top of a cliff. The splash it makes when striking the water below is heard 5.0 later.
The height of the cliff that a stone is dropped from the top, the splash it made as it hit the water below was heard 5.0 s later is 857.5 m.
Sound reflectionSound can bounce when it hits an object that has a hard surface and is not easily penetrated by waves. Examples of objects that can reflect sound are glass walls, iron, zinc, cave walls, and seabeds.
This reflected sound can be used to measure the depth of the sea or the distance of the walls of the cave passage. One of the uses of sound reflection is to know the depth of the sea or the distance of the cave walls.
The equation to determine the distance is:
s = ½ (v) (t)
s = distance or height
t = time
v = velocity of the sound wave (343 m/s)
We have,
Time = 5.0 s
Velocity of the sound wave = 343 m/s
So, the height of the cliff:
s = ½ (v) (t)
= ½ (343) (5)
= 857.5 m
The question is incomplete, it should be:
A stone is dropped from the top of a cliff. The splash it makes when striking the water below is heard 5.0 s later. How high is the cliff?
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A jet of water squirts out horizontally from a hole near the bottom of the tank shown in the figure. If the hole has a diameter of 3.80 mm, what is the height h of the water level in the tank? cm L.00 mn Fu.guu m7
A jet of water squirts out horizontally from a hole near the bottom of the tank shown in the figure. If the hole has a diameter of 3.80 mm, the height h of the water level in the tank is 44.1 cm
The height of the water level can be calculate as follows:
According to kinematics, if the water's initial velocity when it exits the tank is, its horizontal range is given by
d = v√(2y/y)
where, y is the acceleration caused by gravity and is the vertical distance from the ground to the hole.
Torricelli's law provides the velocity of the fluid flowing out of the hole. the velocity of water coming out of the hole is
v=√(2gh)
where,h is the tank's top-to-bottom distance, as depicted in the picture.
The horizontal range equation is used to calculate the water's exit velocity from the hole:
d= v√(2y/g)
v= d x √(g/2y)
and since d= 0.600 m an y= 1 m
v= 0.600 x √(9.8/2(1))
v= 0.600 x 4.9
v= 2.94 m/s
Now, we can use Torricelli's theorem to find the height
v=√(2gh)
h = v²/2g
h = (2.94)² / 2 (9.8)
h = 0.441 m = 44.1 cm
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Clearing forests for oil palm plantations is an example of large-scale agriculture. Oil palms are also plants. However, it is not desirable to have large areas of forest plants replaced by oil palms. Why is that so?
It is not desirable to have large areas of forest plants replaced by oil palms because animals and plants may be affected in regions of fragmented habitat, which is an important issue in ecosystem disturbance and loss of biodiversity.
What are ecosystem disturbances and loss of biodiversity?Ecosystem disturbance is an ecological concept that makes reference to the different human activities and natural processes (such as earthquake catastrophes) that are to break the delicate internal homeostatic equilibrium of the ecosystems. Moreover, loss of biodiversity refers to the loss of variation due to the extinction of populations and even species.
Therefore, with this data, we can see that ecosystem disturbance and loss of biodiversity are fundamental processes and they have been associated with the process of replacement of native trees in natural forests with oil palms, which have negative outcomes for the surrounding environment.
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if the angle between the horizontal and the direction of the 5.0 meters per second veolocity decreases from 30 degrees to 20 defrees the horitonztoal distancr the ball travelks will
The magnitude of the horizontal component of the ball's initial velocity is 4.7 m/s .
In the question ,
it is given that ,
the velocity of the ball is ⇒ 5 m/s .
the angle between horizontal and the direction of 5 m/s decreases from 30 degrees to 20 degrees .
Now , θ = 20° .
We know that ,the trigonometric ratio , Cos θ is = (Adjacent side)/(Hypotenuse)
given velocity = 5 m/s .
So , Cos(20°) = Vₓ/(5) ....Vₓ is the horizontal component .
Simplifying further ,
we get ,
Vₓ = 4.7 m/s .
Therefore , The magnitude of horizontal component is 4.7 m/s .
The given question is incomplete , the complete question is
The ball being kicked by a foot and rising at an angle of 30 degrees from the horizontal. The ball has a velocity of 5.0 meters per second. (Neglect Friction) If the angle between the horizontal and the direction of the 5.0 meters per second decreases from 30 degrees to 20 degrees,
What is the magnitude of the horizontal component of the ball's initial velocity ?
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when nellie newton dangles by a pair of ropes, each at different angle from the vertical, the rope tension will be greater in the rope having the ___
larger in a rope with a smaller angle.
When nellie newton dangles by a pair of ropes, each at different angle from the vertical, the rope tension will be greater in the rope having the larger in a rope with a smaller angle.
The pulling force transmitted 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 is referred to as tension. The action-reaction pair of forces acting at each end of said elements can also be referred to as tension. The polar opposite of compression might be tension.
The ends of a string or other object that transmits tension will apply forces in the direction of the string at the point of attachment to the objects to which it is connected.
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A stone with a mass of 0.900 kg is attached to one end of a string 0.800 m long. The string will break if its tension exceeds 60.0 N. The stone is whirled in a horizontal circle on a frictionless tabletop; the other end of the string remains fixed.
Find the maximum speed the stone can attain without breaking the string.
The centripetal force is 7.3 m/s and tension is 7.30 m/s .
What is tension ?
Any two physical objects in touch have the ability to exert forces on one another. Based on the kinds of objects in touch, we give these contact forces various names. When a rope, string, chain, or cable is one of the things applying the force, the force is referred to as tension.
What is speed ?
Speed is the rate of change in location of an item, expressed in metres per second. For instance, the speed of an item is one metre per second if it starts at the origin and goes three metres in three seconds. Speed is easily calculated by dividing a distance by a time.
Tension (force) in string = mv²/R = 0.90v²/0.80 = 1.125v²
Tension (force) in string = 60.0 N
set Tensions equal:
1.125v² = 53.33
v = v53.33
v = 7.30 m/s (speed of mass at which string breaks)
circumference of path mass travels = 2pR = 5.02 m
time of one rev that gives a tangential speed of 7.3 m
T = 5.02/7.3 = 0.69 sec
rev/sec = 1/0.69 = 1.45 rps
60 x 1.45 = 87 rpm
centripetal force = Tension
mv^2/r = T
0.9xv^2/0.8 =60
v=7.3 m/s
Therefore, the centripetal force is 7.3 m/s and tension is 7.30 m/s .
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while cruising at 190 knots, you wish to establish a climb at 160 knots. when entering the climb (full panel), it would be proper to make the initial pitch change by increasing back elevator pressure until the
You want to start a climb at 160 knots while cruising at 190 mph. It would be reasonable to perform the initial pitch change upon starting the climb (full panel) by increasing the rear elevator pressure until the Attitude indicator displays.
Once the knots are set, you can adjust the pressure until the pitch attitude indicator approximates the pitch attitude required for the 160-knot climb. The approximate pitch attitude needed for the 160-knot climb. You want to start a climb at 130 knots while cruising at 160 knots. It is proper to make the initial pitch change while starting a climb (full panel) by increasing the back elevator pressure until the attitude indicator displays the approximate pitch attitude needed for a 130-knot ascent. You want to start a climb at 130 knots while cruising at 160 knots. It is proper to adjust the initial pitch while commencing the climb (full panel) by raising the back elevator pressure till the end.
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the sun can fuse hydrogen for over ten billion years, while a star twice as massive runs out of hydrogen in
The sun can fuse hydrogen for over ten billion years, while a star twice as massive runs out of hydrogen in two billion years.
Given that they have more fuel than stars with smaller masses, you may assume that big stars would endure longer. However, the cores of these monsters burn through fuel more quickly because they are much hotter and fuse elements at far faster rates.
For more than 10 billion years, a star like a sun can happily burn hydrogen into helium. But in under two billion years, a star twice as massive as the sun exhausts its supply of hydrogen. In just a few hundred million years, a star eight times as massive as the Sun will run out of fuel. Additionally, the speed of each phase in the fusion process increases over time.
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Two hockey pucks of equal mass approach each
other. Puck 1 has an initial velocity of 20.0 m/s [S
45° E], and puck 2 has an initial velocity of 15 m/s
[S 45° W]. After the collision, the first puck is
moving with a velocity of 10.0 m/s [S 45° W].
(a) Determine the final velocity of the second
puck.
(b) Is this collision elastic, perfectly inelastic, or
(non-perfectly) inelastic? Explain your reasoning.
The final velocity of the second puck will be 20.61 m/s [S 30.95 E] and the collision will be non-perfectly inelastic.
We know that since there is no external force applied to the system of two pucks, So after the collision, Momentum will remain conserved,
Using Momentum conservation in x-direction:
Px(initial) = Px(final)
[tex]m1*u1x + m2*u2x = m1*v1x + m2*v2x[/tex]
[tex]m1 = m2 = m[/tex] (given)
u1 = Initial speed of m1
= 20.0 m/s at S 45 E
= 20.0 m/s at 45 deg below the positive x-axis
u2 = Initial speed of m2
= 15.0 m/s at S 45 W
= 15.0 m/s at 45 deg below the negative x-axis
v1 = final speed of m1
= 10.0 m/s at S 45 W
= 10.0 m/s at 45 deg below the negative x-axis
u1x = Initial velocity of m1 in x-direction
= [tex]20.0*cos 45[/tex]°
= 14.14 m/s
u2x = Initial velocity of m2 in x-direction
= [tex]-15.0*cos 45[/tex]°
= -10.61 m/s
v1x = Final velocity of m1 in x-direction
= [tex]-10.0*cos 45[/tex]°
= -7.07 m/s
v2x = Final velocity of m2 in x-direction = ?
So,
[tex]m*14.14 + m*(-10.61) = m*(-7.07) + m*v2x[/tex]
[tex]v2x = 14.14 - 10.61 + 7.07[/tex]
[tex]v2x= 10.6 m/s[/tex]
Now Using Momentum conservation in the y-direction:
Px(initial) = Px(final)
[tex]m1*u1y + m2*u2y = m1*v1y + m2*v2y[/tex]
u1y = Initial velocity of m1 in y-direction
= [tex]-20.0*sin 45[/tex]°
= -14.14 m/s
u2y = Initial velocity of m2 in y-direction
= [tex]-15.0*sin 45[/tex]°
= -10.61 m/s
v1y = Final velocity of m1 in y-direction
= [tex]-10.0*sin 45[/tex]°
= -7.07 m/s
v2y = Final velocity of m2 in y-direction = ?
So,
[tex]m*(-14.14) + m*(-10.61) = m*(-7.07) + m*v2y[/tex]
[tex]v2y = -14.14 - 10.61 + 7.07[/tex]
[tex]v2y= -17.68 m/s[/tex]
So we have
v2x = 10.6 m/s and v2y = -17.68 m/s
the final speed of puck 2 will be:
[tex]|v2| = sqrt (10.6^2 + (-17.68)^2)[/tex]
[tex]|v2| = 20.61 m/s[/tex]
the final direction of puck 2 will be:[tex]Direction = arctan (\frac{v2y}{v2x} ) = arctan (\frac{-17.68}{10.6})[/tex]
Direction = 59.05 deg below positive x-axis (Since v2x > 0 and v2y < 0, So puck 2 will be moving in 4th quadrant)
Direction = 90 - 59.05
= 30.95 deg
= S 30.95 E
b) Since both pucks did not stick together after the collision, So this is not a perfectly inelastic collision
Now Using energy conservation:
[tex]KE = KEf - KEi[/tex]
[tex]KE = (\frac{1}{2})*m*v1^2 + (\frac{1}{2})*m*v2^2 - (\frac{1}{2})*m*u1^2 - (\frac{1}{2})*m*u2^2[/tex]
[tex]KE = (\frac{1}{2})*m*[10.0^2 + 20.6^2 - 20.0^2 - 15.0^2][/tex]
[tex]KE = -50.32*m[/tex]
So some amount of energy was lost during the collision, which means the above collision is (non-perfectly) inelastic
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a) The magnitude of the final velocity of the second puck is 20.61 m/s in the direction 50.3° east-south.
b) This collision is (non-perfectly) inelastic.
What is law of conservation of momentum?According to the rule of conservation of momentum, absent an external force, the combined momentum of two or more bodies operating upon one another in an isolated system remains constant. As a result, momentum cannot be gained or lost.
Let the final velocity of the second puck = v i + V j
Now, applying law of conservation of momentum along x axis:
m × 20.0 × cos45° + m × 10.0 ×(- cos45°) = m × 10 × ( - cos45°) + mv
⇒ v =10.6 m/s.
Applying law of conservation of momentum along y axis:
m × 20.0 × (-sin45°) + m × 10.0 ×(- sin45°) = m × 10 × ( - sin45°) + mV
⇒ V = - 17.68 m/s.
Hence, the final velocity of the second puck = 10.6 i - 17.8 j m/s.
The magnitude of the final velocity of the second puck
= √{(10.6)² + (-17.8)²} m/s
= 20.61 m/s.
and the direction is = tan⁻¹(-17.8/10.6) = - 59.22°
b) The amount of loss in kinetic energy = 1/2 × m ( 20.0² + 15.0² - 10.0² - 20.61²) joule
= 50.36m joule.
Hence, as loss of kinetic energy happens, this collision is (non-perfectly) inelastic.
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messier 74 (m74), nicknamed the phantom galaxy, is a grand design spiral galaxy located in the constellation pisces. it can be found 1.5 degrees east-northeast of , the brightest star in pisces. g
It's called the Phantom because the galaxy's surface brightness is low.
Because of the galaxy's low surface brightness, it is known as the Phantom. Of all the Messier objects that amateur astronomers view using tiny telescopes, it is the most challenging to locate. The galaxy almost faces Earth, which accounts for the low surface brightness.
M74 is a star in the constellation Pisces that is around 32 million light-years from Earth. Through modest telescopes, the galaxy appears as a dim patch of light with an apparent magnitude of only 10. The ideal time to view it is around November. A spiral galaxy with a majestic pattern, M74 is the ideal illustration.
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which of the following is the statement of dalton's law of partial pressures? multiple choice question. pv
The statement of dalton's law of partial pressures is the total pressure by a mixture of gases is equal to the sum of the partial pressures of each gas that makes up the mixture. The correct answer is B.
The pressure that each gas would produce if it occupied the same volume of the mixture at the same temperature alone is referred to as the partial pressure.
the law of partial pressure known as Dalton's Law A combination of gases exerts a pressure that is equal to the sum of the pressures that each gas exerts on its own. Each gas exerts pressure directly proportional to the amount of that gas present in the gas mixture.
In closed vessels over water, Dalton found that oxygen interacted with either one or two volumes of nitric oxide. This ground-breaking observation of integral multiple proportions served as crucial experimental support for his fledgling atomic theories.
Your question is incomplete but most probably your full question was
Which of the following is a statement of daltons law of partial pressure
A. The total pressure of a mixture of gases is the product of the partial pressures of each gas in the mixture
B. The total pressure of a mixture of gases is the sum of the partial presaure of each gas that makes up the mixture
C. gases can exist as mixtures at STP only
D. in a mixture of two gases, the pressure of each gas is 1/2 of the total pressure
E. the partial pressure of a gas is equal to the total pressure of the mixture
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A race car starts from rest and travels east along a straight and level track. For the first 5.0 s of the car's motion, the eastward component of the car's velocity is given by vx(t)=(0.970m/s3)t2.
a.What is the acceleration of the car when vx = 16.7 m/s? Express your answer with the appropriate units.
The acceleration of the car when Vₓ = 16.7 m/s is 8.05 m/s² .
In the question ,
it is given that ,
east ward component of the the car's velocity is Vₓ(t) = (0.970 m/s³)t²
To find the acceleration of the car, we differentiate velocity with respect to t ,
We get ,
aₓ = dVₓ/dt = d/dt (0.97 m/s³)t²
aₓ = (2 × 0.97 m/s³)t
aₓ = (1.94 m/s³)t ...equation(1)
given that Vₓ = 16.7 m/s .
So , 16.7 = (0.97 m/s³)t²
t² = 16.7/0.97
t = 4.15 sec .
Substituting, time t = 4.15 in the equation(1) , we get
aₓ = 1.94 × 4.15
= 8.05 m/s²
Therefore , the requires acceleration is 8.05 m/s² .
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A 2 m long wire carrying 2 A of current pointing to the right is placed in a magnetic field of 4 T directed away from you.
How big is the force acting on the wire?
A. 4 N
B. 8 N
C. 12 N
D. 16 N
Answer:16
Explanation:
as F=BIL so by placing value's B is magnetic field 4 and i is current 2A and l is length that js 2 m so answer is
Given: i=10A,B=0.15 T,θ=45
∘
and l=2 m
Force on a current carrying wire of finite length =
F
=l(
i
×
B
)
Hence, magnitude of force, F=Bilsinθ
=0.15×10×2×sin45
∘
=
2
3
N
suppose that 256.0 j of heat is transferred by conduction from a heat reservoir at a temperature of 420.0 k
Answer:
ΔS= -1 J/K
Explanation:
Using this data
Heat Q= -256.0J
Temperature T=420.0 K
To find
Entropy change ΔS
Solution
We know that the entropy change of system is ΔS is given by
ΔS=Q/T
We have take heat value Q as negative because the heat is removed from heat reservoir
So
ΔS=(-256J/470K)
ΔS= -1 J/K
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a full moon appears larger on the horizon than it does overhead not because of the refraction of the atmosphere but because of an optical illusion. objects in the foreground influence the perceived size of objects in the background, and when the moon is on the horizon amid trees and houses the brain interprets it as being larger than when it appears overhead in the absence of those objects.
Moon Illusion is an Optical Phenomenon. This occurs because when the moon is near the horizon, Earthly things that resemble the moon on your retina generate a misunderstanding or inaccurate perception of distance and size.
The brain interprets the low moon as being bigger since it is lower in the sky than the higher moon.
The mechanism behind size-distance perception in everyday life, which transforms planar pictures that fall on the retina into a perception of hard objects moving in space, is related to the moon illusion.
What happens when the mechanism acts in an uncommon circumstance is what causes the moon illusion. In typical perception, the angular size of the light image stimulating our eyes expands or shrinks as rigid objects move in depth (distance).
The sense of hard objects with shifting depth perception is produced naturally by the brain in response to these changing stimuli. The ground and horizon make the moon appear comparatively close when it is close to the horizon.
Due to the moon's shifting apparent position in depth while the light stimulus stays constant, the moon appears extraordinarily huge due to the brain's size-distance mechanism.
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start with the smallest problem and progress to the most complex", is another of the rules of the Cartesian method, what rule is it?
Using theory on the Cartesian method, starting with the smallest problem and progressing to the most complex, refers to the rule known as synthesis.
¿What is the Cartesian method?This has been a method developed by René Descartes with which he sought to find what was the truth.
The method established by René Descartes contains four fundamental rules or principles that are:
Rule (Evidence)AnalysisSynthesisVerificationAmong all these rules, the synthesis is the one that indicates that you should start with the smallest problem and progress to the most complex.
find the volume of a gas in liters if 2.95 mol has a pressure of 0.760 atm at a temperature of 52oc. group of answer choices
The volume of a gas in liters if 2.95 mol has a pressure of 0.760 atm at a temperature of 52oc is 116.584.
volume of a gas = 2.95 × 0.760 × 52 = 116.584
We understand temperature as the average translational kinetic energy linked to the disordered motion of atoms and molecules, and the kinetic temperature as derived from kinetic theory provides reasonable accuracy. In light of the fact that higher energy molecules are colliding with lower energy molecules and transferring energy to them, it follows naturally that the flow of heat is from a region of high temperature toward a region of lower temperature. Since temperature only measures the kinetic energy portion of internal energy, it is not directly proportional to internal energy, so two objects with the same temperature do not necessarily have the same internal energy (see water-metal example). The three commonly used temperature scales are used to measure temperatures (Celsius, Kelvin, and Fahrenheit).
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A physics professor demonstrates the Doppler effect by tying a 450
Hz sound generator to a 1.0
−
m
-long rope and whirling it around her head in a horizontal circle at 100
rpm .
A. What is the difference between the highest frequency heard by a student in the classroom and the initial frequency of the sound generator? Express your answer with the appropriate units.
B. What is the difference between the lowest frequency heard by a student in the classroom and the initial frequency of the sound generator? Express your answer with the appropriate units.
The difference between the highest frequency heard by a student in the classroom and the initial frequency of the sound generator is =582.5 Hz and 619.2 Hz
briefly:-F(s) = 600 Hz, the generator's frequency
The rope's length is r = 1 m.
rotating frequency, w = 100 rpm
First, we determine the generator's speed, v (g)
v(g) = r.w
However, it should be remembered that we must convert the whirling speed from rpm to rad/s.
100 rpm is 100*2/60 rad/s.
100 rpm = 200π/60
100 rpm = 620.4 / 60
10.47 rad/s for 100 rpm.
Now, we employ this to determine the generator's speed.
v(g) = r.w
v(g) = 1 * 10.47
v(g) = 10.47 m/s
The frequency is estimated when approaching the generator as
F(a) = F(s) / [(v(g)/v) - 1)]
F(a) = 600 / [1 - (10.47/343)]
F(a) = 600 / 0.969
F(a) = 619.2 Hz
On the other hand, the frequency of the retreating generator is
F(r)=F(s)/[1 + (v(g)/v)]
F(r) = 600 / [1 + (10.47/343)]
F(r) = 600 / 1.030
F(r) = 582.5 Hz
The highest and lowest frequencies are therefore 619.2 Hz and 582.5 Hz, respectively.
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1 Wire 1 Wire 2 Long, straight, parallel wires 1 and 2 carry current I in opposite directions, as shown. Which of the following correctly describes the magnetic fields from the wires in the region between the wires and provide evidence to support this claim? A The magnetic fields are in opposite directions, because the currents are in opposite directions. B) The magnetic fields are in opposite directions, because the region is on opposite sides of the wires: to the right of wire 1 and to the left of wire 2. C The magnetic fields are in the same directions, because both wires are long and straight. D The magnetic fields are in the same directions, because the currents have the same magnitude. E The magnetic fields are in the same directions, because the currents are in opposite directions and are on opposite sides of the wires: to the right of wire 1 and to the left of wire 2. < >
Based on the information provided, the statement that correctly describes the magnetic fields from the wires in the region between the wires and provide evidence to support this claim is that the magnetic fields are in opposite directions, because the region is on opposite sides of the wires: to the right of wire 1 and to the left of wire 2. (Option B)
A magnetic field refers to a vector field that defines the magnetic influence on moving electric charges, electric currents, and magnetic materials. A moving charge in a magnetic field experiences a force perpendicular to its own velocity and to the magnetic field. A current traveling through a loop of wire creates a magnetic field along the axis of the loop. The direction is obtained from the right-hand rule. Hence, the direction of the field inside the loop can be found by curling the fingers of the right hand in the direction of the current through the loop; the thumb then points in the direction of the magnetic field.
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figure 32-27 shows a closed surface. along the flat top face, which has a radius of 2.0 cm, a perpendicular magnetic field of magnitude 0.30 t is directed outward. along the flat bottom face, a magnetic flux of 0.70 mwb is directed outward. what are the (a) magnitude and (b) direction (inward or outward) of the magnetic flux through the curved part of the surface?
a) The magnitude of the magnetic flux through the curved part of the surface is 0.70 mWb.
b) The magnetic flux through the curved part of the surface is 12.56 cm².
The direction of the magnetic flux through the curved part of the surface is outward.
The magnetic flux through a surface is given by the equation:
Φ = B × A
where Φ is the magnetic flux, B is the strength of the magnetic field, and A is the area of the surface.
In this case, the strength of the magnetic field is given as 0.30 T, and the area of the curved surface is given as the surface area of a hemisphere with a radius of 2.0 cm, which is:
A = 2 × π × r² = 2 × 3.14 × (2.0 cm)² = 12.56 cm²
Plugging these values into the equation gives us a magnetic flux of:
Φ = (0.30 T) × (12.56 cm²) = 0.70 mWb
The direction of the magnetic flux is given as outward for both the top and bottom faces, so the direction of the magnetic flux through the curved part of the surface is also outward.
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and it is corrupted by additive white gaussian noise, n(t) that has power spectral density (psd) of n0/2 w/hz. the frequency response of the ideal low pass filter (lpf) is given as
The performance of a digital communication system is quantified by the probability of bit detection problems in the presence of thermal noise.
In the context of wireless communications, the major source of thermal noise is the addition of random signals arising from the vibration of atoms in the receiver electronics.
Gaussian: The probability distribution of the noise samples is Gaussian with a zero mean, i.e., in the time domain, the samples can acquire both negative and positive values in addition.
the values near zero have a higher chance of occurrence while the values far away from zero are less likely to appear.
As a result, the time domain average of a greater number of noise samples is equal to zero.
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A series LCR circuit is connected to an ac voltage source. When L is removed from the circuit, the phase difference between current and voltage is π/3. If instead C is removed from the circuit, the phase difference is again π/3 between current and voltage. The power factor of the circuit is :
Azero
B0.5
C1.0
D-1.0
An ac voltage source is attached to an LCR series circuit. The phase difference between current and voltage is /3 when L is taken out of the circuit. The circuit has a power factor of one.
LCR series circuit, which stands for inductance-capacitance-resistance, can only function as one of the three components on its own. It is also employed to boost voltage and raise the voltage that travels through each component of the circuit individually. This voltage has the potential to be far higher than the external voltage that is applied to the electrical circuit.
IXc = sin (pi/4)
Xc = R
The phasor will look like this when C is eliminated.
Xl = Xc
The supplied circuit is therefore in resonance.
LCR circuit's power factor is 1 cos(o).
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Suppose that in cases B, C, and D in problem 1, each combination of springs were replaced by a single spring such that the motion of the block is the same as before the replacement. We will call the spring constant of this new spring the effective spring constant of the original combination. Quantitatively, the effective spring constant, keff , may be defined by the relationship Sigma Fvector block, spring = -Keff , where Sigma block, spring is the sum of all forces on the block by the springs, and is the position of the block with respect to the equilibrium position. Rank the four cases according to keff, from largest to smallest. Explain. Use your ranking above and the relationship T = 2pi root m/keff to rank the cases according to period of oscillation. Explain. Use your ranking from part a and the relationship E total = 1/2 keffA2 to rank the cases according to total energy. Explain.
After solving the equation the cases according to total energy C<A<B= D
What is spring constant ?
A measure of the spring's stiffness is its spring constant, or k. Various springs and materials have different effects. The spring becomes stiffer and more challenging to extend the bigger the spring constant.
What is equilibrium ?
When all external forces (including moments) acting on an item are balanced, the object is said to be in equilibrium in a reference coordinate system. Thus, all external moments and forces acting on this item result in zero as a net effect.
Case A; k effective = K
Case B ; strings connected in parallel
K effective = 2A
Case c; strings connected in series
K effective = k/2
Case D ; strings connected in parallel
K effective = 2K
So, C,<A<B= D
T= 2π[tex]\sqrt{m/Keffective}[/tex]
T∝ [tex]\sqrt{1/K effective }[/tex]
Accordingly time period ranking is C>A>B= D
E total = 1/2 K effective a²
E total ∝ k effective
so ranking will be
C<A<B= D
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1. Abus moves 2moveront and om east, 5 North and 3m South fay 5 second. calculate on) Total distance b) Tofal displosment c Averge speed d Average Velocity.
(a) The total distance of the bus is 10 m.
(b) The total displacement of the bus is 2.83 m.
(c) The average speed of the bus is 2 m/s.
(d) The average velocity of the bus is 0.57 m/s.
What is the total distance travelled by the bus?The total distance of the bus is the sum of all the distance covered by the bus and it is calculated as follows;
distance = 2 m + 5 m + 3 m = 10 m
The total displacement of the bus is calculated as follows;
resultant horizontal displacement = 2 m east
resultant vertical displacement = 5 m - 3 m = 2 m North
Total displacement = √ ( 2² + 2² )
Total displacement = 2.83 m
The average speed is calculated as;
average speed = 10 m / 5 s = 2 m/s
The average velocity is calculated as;
average velocity = 2.83 m / 5 s = 0.57 m/s
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the speed of a bobsled is increasing because it has an acceleration of 2.4 m/s2. at a given instant in time, the forces resisting the motion, including kinetic friction and air resistance, total 450 n. the combined mass of the bobsled and its riders is 270 kg. (a) What is the magnitude of the force propelling the boblsed forward?
(b) What is the magnitude of the net force that acts on the bobsled?
The speed of a bobsled is increasing because it has an acceleration of 2.4 m/s2. at a given instant in time 1363.6N.
Describe what acceleration is.Acceleration refers to the rate at which the velocity and direction of a moving object change over time. Anything is said to be sped when it goes straighter and faster or slower. Therefore, even though the speed is constant, travel on a circle increases due to the constant change in direction.
In what ways do velocity and velocity differ?The rate at which a displacement varies is measured by its velocity. Speed changes occur at an accelerated rate. Its magnitude and orientation are both present, making it a vector quantity. As the rate at which velocity changes, acceleration is likewise a vector quantity.
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a uniform, 4.0 kg, square, solid wooden gate 1.5 m on each side hangs vertically from a frictionless pivot at the center of its upper edge. a 1.3 kg raven flying horizontally at 5.0 m/s flies into this door at its center and bounces back at 2.5 m/s in the opposite direction.
The angular speed of the gate just after it is struck by the unfortunate raven is 2.4375rad/s and during the collision, the angular momentum is conserved but not the linear momentum.
Given mass of square (m) =4kg
length of solid wooden gate (l) =1.5m
mass of raven (m1) = 1.3kg
speed of raven (v1) = 5m/s
speed of bouncing back (v2) = 2.5m/s
Impulse on gate (I) = 1/3ml^2 = 1/3x4x1.5x1.5 = 3kgm^2
(a) using conservation of angular momentum Li = Lf
1/2mv1L/2 = mv2L/2+Iω
m(v1+v2)L/2 = 3xω
1.3x(5+2.5)x1.5/2 = 3xω
ω = 2.4375rad/s
(b)As momentum is conserved there is no external torque
initial kinetic energy (KE) = 1/2mv1^2 = 1/2x1.3x5x5 = 16.25J
final kinetic energy (KEf) = 1/2mv2^2+Iω^2/2
KEf = 1x1.3x2x2/2+3x2.4375x2.4375/2 = 2.6+ 8.9 = 11.5J
As Kinetic energy is not conserved, the collision is inelastic.
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Complete question: a uniform, 4.0 kg, square, solid wooden gate 1.5 m on each side hangs vertically from a frictionless pivot at the center of its upper edge. a 1.3 kg raven flying horizontally at 5.0 m/s flies into this door at its center and bounces back at 2.5 m/s in the opposite direction. (a) What is the angular speed of the gate just after it is struck by the unfortunate raven? (b) During the collision, why is the angular momentum conserved but not the linear momentum?
mcdougal products is considering the purchase of new equipment to place in its factory. the equipment would cost $365,000, have a ten-year useful life and a salvage value at the end of its useful life of $65,000. the company estimates that annual revenues and expenses associated with the equipment would be as follows: the payback period of the new equipment is closest to:
The payback period of the new equipment is closest to 17.8%
Simple rate of return is equal to annual operating income minus the initial investment.
=$65000/365000
=17.8%
The payback period describes how long it will take to return the cost of an investment. The time it takes for an investment to break even can be summed up in this way. The payback period is important because people and businesses invest money primarily to be compensated. The payback period is the amount of time an investor would need to invest in a project before they would be able to repay their initial investment. The investment's break-even point is closely related to it.
Instead of using the units of a break-even analysis, Payback Period employs years to quantify investment opportunities and risk in a rapid and straightforward manner.
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FILL IN THE BLANK. while sitting at a desk, lisa talks on her cell phone. under these conditions, talking on a cell phone is a form of activity
Subcutaneous tissue fat functions similarly to insulation in your home in numerous areas of your body. This fat absorbs shock to underlying structures and aids in protecting the deep body systems like muscles and organs from temperature changes.
Which of the following causes a decrease in metabolism?
Crash dieting, starvation, or fasting all cause the body to reduce its metabolism in an effort to conserve energy. BMR can fall by up to 15%, and if lean muscle mass is lost as well, BMR is further decreased.
Which tissue serves as insulating material, a cushion of protection, and a source of energy?
The bottom layer of skin on your body is called the hypodermis. It has a variety of purposes, such as defending your body from injury, insulating your body, storing energy, and attaching your skin to your muscles and bones.
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Mass of a particle is 5 times its rest mass, calculate its velocity.
Don is attempting to build muscle mass for his first body-building competition. According to the American College of Sports Medicine, he should be eating _______________ grams per kilogram of body weight of protein per day.
1.5 to 1.7
Don is attempting to build muscle mass for his first body-building competition. According to the American College of Sports Medicine, he should be eating 1.5 to 1.7 grams per kilogram of body weight of protein per day.
Muscle is a system of coordinated contractile tissues that is used to perform tasks more effectively. The physical appearance and cell location of the muscular systems in humans are used to classify them. Strained (or skeletal), cardiac, and smooth muscles are the three categories (or nonstriated). The majority of the muscular tissue in the body is striated muscle, which is mostly connected to the skeleton. The somatic nervous system directs the multinucleated fibers, which cause stresses on the skeleton like those produced by pulleys and levers to cause movement. Sinoatrial node, the pacemaker of the heart, controls the rhythmic contraction of cardiac muscle. Cardiovascular muscle is a particular striated muscle with several centrally positioned nuclei that is made up of elongated cells, however it is not controlled voluntarily. Blood lines the smooth muscle of the viscera.
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