Using algebra to solve for the the cost of the glass lenses gives the value for cost of glass lenses to be 4.
What is the cost of the glass lenses?The cost of the glass lenses is calculated as follows:
Let cost of glass be y
Cost of plastic lenses = 4y
Cost of eye exam and frames be z.
z + y = 30 (i)
z + 4y = 42 (ii)
(ii) - (i)
3y = 12
y = 4
Inconclusion, the cost of the glass lenses is 4.
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A bicycle completed the first 200 m of a ride in 38.31 s. What was the bicycle's average speed in kilometers per hour
Answer:
The bicycle average speed in kilometers per hour is 18.9km/hr.
Explanation:
The reading above states that a car travel a distance of 200m in a time of 38.31s and is asking for the speed in kilometers per hour (km/hr). In this case change 200m to km and 38.31s to hr
Using the conversion factor
1km = 1000m
1hr = 3600s
200m = 1km/1000m = 0.2km
38.31s = 1hr/3600s = 0.0106hr
Average speed = distance traveled/time taken
Average speed = 0.2km/0.0106hr
Average speed = 18.9km/hr
Therefore the bicycle average speed in kilometers per hour is 18.9km/hr.
Xtreme waterparks uncovers the most over-the-top and exhilarating water rides across the world. To what country did we travel to enjoy the mountain water slide, curving through the jungle and letting out in a secluded, tree-surrounded pool?.
Answer:
Costa Rica
Explanation:
Two people hear a tornado siren, but one listener is 81.9 times farther away from the source of the sound than the other. What is the intensity level of the sound (in decibels) for the more distant listener relative to that for the nearer listener
-38.26dB is the intensity level of the sound for the more distant listener relative to that for the nearer listener
By using the inverse square law,
As one listener is 81.9 times farther away from the source of the sound than the other.
Then Increasing the distance by 81.9 times reduces the intensity by
[tex]81.9^{2}[/tex] = 6707.61 times
The intensity level of the sound (in decibels) for the more distant listener relative to that for the nearer listener is:
= 10log(ratio of intensities)
= 10log(1/6707.61)
= 10log(0.000149)
=10 × -3.826
= -38.26dB (The negative sign represents the sound is less intense for the farther listener)
So, the intensity level of the sound (in decibels) for the more distant listener relative to that for the nearer listener is -38.26dB
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A proton with kinetic energy 82.6 eV is seen to move in a circular path while in a region with a uniform magnetic field. What kinetic energy must an electron have if it is to move in a circular path of the same size
The electron must have 2.065 MeV of energy if it is to move in a circular path of the same size.
For a particle of mass m and charge Q in a magnetic field, the radius of the path is given by,
r = [tex]\sqrt{2m}(KE)/qB[/tex]
q ∝[tex]\sqrt{m (KE)}[/tex]
e/2e =[tex]\sqrt{(mp)(IMeV)}/(4mp)(KE)[/tex]
1/4 = 8.26/(4)(KE)
KE = 2.065 MeV
Kinetic energy is a type of energy that an object or particle has due to its motion. When work is done on an object by applying a net force that transfers energy, the object accelerates, thereby gaining kinetic energy.
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a) State the meaning of the term principal focus as applied in lenses.
Answer:
Explanation:
Basically, the point on the axis of a lens or mirror to which parallel rays of light converge or from which they appear to diverge after refraction or reflection.
Not sure if this is what your looking for. Hope this helps!
_______________ will occur if a vehicle collides with an object travelling in the opposite direction rather than colliding with a stationary object.
More impact will occur if a vehicle collides with an object traveling in the opposite direction rather than colliding with a stationary object.
What is Collision?A collision may be described as a circumstance in which two or more bodies exert forces on each other in a moderately short period of time.
When vehicles collide with an object traveling in the opposite direction causes more impact because both bodies exert equal forces on to each other. While a stationary object bears less force, and hence the collision causes a little or less impact on the bodies.
Therefore, More impact will occur if a vehicle collides with an object traveling in the opposite direction rather than colliding with a stationary object.
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calculate the energy a 12V battery can deliver if it can move 3000 C of charge, and the energy that an identical battery (12V) can deliver while moving a charge of 40,000 C
The energy a 12V battery can deliver if it can move 3000°C of charge will be 36000 J and the energy that an identical battery (12V) can deliver while moving a charge of 40,000°C will be 480000 J
Charged material experiences a force when it is exposed to an electromagnetic field due to the physical characteristic of electric charge. You might have a positive or negative electric charge. Contrary charges attract one another while similar charges repel one another.
Given a 12V battery can deliver if it can move 3000 C of charge, and the energy that an identical battery (12V) can deliver while moving a charge of 40,000 C
We have to find total energy that this battery can deliver
Let,
q = 3000 C
V = 12 V
The total energy delivered by battery will be as follow:
U = qv
U = 3000 x 12
U = 36000 J
Similarly for another battery
q = 40000 C
V = 12 V
So total energy delivered will be
U = 40000 x 12
U = 480000 J
Hence the energy a 12V battery can deliver if it can move 3000°C of charge will be 36000 J and the energy that an identical battery (12V) can deliver while moving a charge of 40,000°C will be 480000 J
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Initially, the translational rms speed of a molecule of an ideal gas is 349 m/s. The pressure and volume of this gas are kept constant, while the number of molecules is increased by a factor of 4. What is the final translational rms speed of the molecules
Answer:
The final translational rms speed is 247.51 m/s
Explanation:
The translational rms speed, v= 349 m/s.
Translational rms speed of a molecule of an ideal gas is:
v=[tex]\sqrt{\frac{3KT}{M} }[/tex]If we keep the pressure and volume of the gas constant,
P1=P2=P and V1=V2=V
while the number of molecules is increased by a factor of 4,
n2=4n1
for constant P, V and R
n1RT1=n2RT2
T2=T1/2
so, final translational rms speed, v2:
v2=[tex]\sqrt{\frac{3kT2}{M}}[/tex]v2=[tex]\frac{v1}{\sqrt{2} }[/tex]
substituting values,
v2=349/ sqrt(2)
final translational rms speed:
v2=247.51 m/s
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Look at the equation below. What does g represent? (Hint: Give the full answer)
equation is: w = m x g
Answer:
Acceleration due to gravity
Explanation:
"g" is the value of acceleration due to gravity usually 10m/s²
In the equation w = m x g; g represents acceleration due to gravity.
What is weight?Weight is a measurement of how much gravity is pulling on a body.
The weight formula is as follows: w = mg [ where, m = mass of the body and g = acceleration due to gravity.]
Weight being a force The SI unit of weight is the Newton, which is also the same as the SI unit of force (N).
When we look at how weight is expressed, we can see that it depends on both mass and the acceleration caused by gravity; while the mass may not change from one location to another, the acceleration caused by gravity does. Let's use this illustration to better understand this idea:
What is acceleration due to gravity?The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity. M/s² is its SI unit. Its vector nature—which includes both magnitude and direction—makes it a vector quantity. The unit g stands for gravitational acceleration. At sea level, the standard value of g on earth's surface is 9.8 m/s².
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Unbalanced force acting on a body may not change the dimension and balanced forces many change the dimension. JUSTIFY. Please help me..
If the body is in motion, the force operating on it simply produces the motion; however, if the force acting on it is balanced, the body is in a static position and its shape is flexible.
What is force?Force is defined as the push or pulls applied to the body. Sometimes it is used to change the shape, size, and direction of the body.
Force is explained as the multiplication of mass and acceleration. Its unit is N.
It is the external agent which helps to change the shape and size of an object. Force is used to pushing and pull the object and sometimes changes the direction of motion.
The net force acting on an object is equal to the sum of all forces acting upon it.
F = F1 + F2 + F3
The force is found as;
F=ma
Where,
Force, F
Mass,m
Acceleration,a
Unbalanced forces operating on a body might not modify its dimension, but balanced forces might.
The unbalanced forces act on the body is helps to give the motion to the body and only one application of force can act on the object.
If there is motion in the body the force acting on the body causes only the motion but if the force acting on the body is balanced the body is in static condition and the shape of the body can change.
Hence the given statement is justified unbalanced force acting on a body may not change the dimension and balanced forces may change the dimension.
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A common trick for opening a stubborn lid on a jar is to run very hot water over the lid for a short time. This is because the coefficient of expansion for glass is less than that for steel. Glass expands less than steel when heated. This makes it easier to open the lid. Is this true or false
Answer:
Glass expands less than steel when heated. This is because of the coefficient of expansion. The statement is true.
Explanation:
Thermal expansion refers to:
Expansion of the size of an object, when heat is provided to that object, is called as thermal expansion basically it is expansion due to heatCoefficient of thermal expansion:
(CTE) refers to the rate at which a material expands with increase in temperature.given that lid on the jar is made up of steel.
so when we very hot water run over the lid for short time, The metal lid expands but the glass jar. which forms a gap between the metal lid and the glass jar.
Coefficient of thermal expansion of ordinary glass is 8.6×10^-6/°
Coefficient of thermal expansion of steel is 13×10^-6/°
we can say that
Steel having higher coefficient of expansion will expand more as compared to the glass.
Hence the statement is True.
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A hollow cylinder is given a velocity of 5.3 m/s and rolls up an incline to a height of 2.87 m. If a hollow sphere of the same mass and radius is given the same initial velocity, how high (in m) does it roll up the incline
Answer:
E = 1/2 M V^2 + 1/2 I ω^2 = 1/2 M V^2 + 1/2 I V^2 / R^2
E = 1/2 M V^2 (1 + I / (M R^2))
For a cylinder I = M R^2
For a sphere I = 2/3 M R^2
E(cylinder) = 1 + 1 = 2 omitting the 1/2 M V^2
E(sphere) = 1 + 2/3 = 1.67
E(cylinder) / E(sphere) = 2 / 1.67 = 1.2
The cylinder initially has 1.20 the energy of the sphere
The PE attained is proportional to the initial KE
H(sphere) = 2.87 / 1/2 = 2.40 m since it has less initial KE
Did you diagram all the faults and folds correctly? Which fault and/or fold did you find most difficult to diagram?
A fold is a stack of planar surfaces that are bent during permanent deformation and this happens when the earth's crust is compressed together.
What is a Fault?This refers to the planar fracture that occurs in a volume of rock that causes significant displacement.
Hence, we can see that there are three types of fold and they are:
(1) anticlines, (2) synclines (3) monoclines.Please note that your question is incomplete so I gave a general overview of the concept to give you a better understanding.
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What circuit element, an inductor or a capacitor, should be placed in series with the circuit to raise its power factor
Answer:
Inductor should be placed the circuit to raise its power factor.
Explanation:
Inductor:
It is passive component that is used in most electrical circuits to store energy in the form of magnetic energy when electric current flows through it.It has the function of developing electromotive force in the direction that reduces fluctuation when a fluctuating current flows.Capacitor:
It is a device for storing electrical energy, consisting of two conductors in close proximity and insulated from each other.we know that,
Power factor:
cosα = R / Z
cosα = R^2/ (sqrt(R
[tex]cos\alpha =\frac{R}\sqrt{R^{2}(X_{c}-X_{L})^{2} }[/tex]
To increase the power factor, denominator should decrease.
from the equation we can say that, the power factor is inversely proportional to X(L)
Hence X(L) should increase.
Therefore, an inductor is required to be connected.
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An ideal Polaroid will transmit 50% of incident sunlight. How much light will be transmitted by two ideal Polaroids oriented with their axes parallel to each other
50% of light will be transmitted by two ideal Polaroids oriented with their axes parallel to each other.
To find the answer, we need to know about the malus law.
What's Malus law?According to Malus law, the intensity of light passed through a polaroid is the intensity of light incident on it times the square of the cosine of the angle between the pass axis of the polaroid and the direction of polarization of the incident light.Mathematically, I=I₀× cos²ФWhat will be the intensity of light transmitted by two ideal Polaroids oriented with their axes parallel to each other?The direction of polarization of light passed through the first polaroid remains along the pass axis of it. When the light coming from the first polaroid enters the second polaroid, its direction of polarization remains parallel with the pass axis of second polaroid. So the angle is 0°.The intensity of the light now remains the same as that of enters into the first polaroid.Thus, we can conclude that 50% of light will be transmitted by two ideal Polaroids oriented with their axes parallel to each other.
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Planetesimals beyond the orbit of _____ failed to accumulate into a protoplanet because the gravitational field of _____ continuously disturbed their motion
Planetesimals beyond the orbit of Mars failed to accumulate into a protoplanet because the gravitational field of Jupiter continuously disturbed their motion
What is a planet?A planet can be defined as a celestial body which is moving in an elliptical orbit round the star.
The nine main planets are:
MercuryVenusEarthMarsJupiterSaturnUranusNeptunePlutoSo therefore, the planetesimals beyond the orbit of Mars failed to accumulate into a protoplanet because the gravitational field of Jupiter continuously disturbed their motion
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Planetesimals beyond the orbit of Mars failed to accumulate into a protoplanet because the gravitational field of jupiter continuously disturbed their motion. This is further explained below.
What is Planetesimals ?Generally, a little planet; a body that, because to gravity, might potentially clump with many others to become a planet.
In conclusion, The planet Jupiter's gravitational field constantly disrupted the motion of planetesimals beyond the orbit of Mars, preventing them from ever settling down to form a protoplanet.
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A circuit breaker may need to switch short circuit currents as high as _____ times its rated current.
A circuit breaker may need to switch short circuit currents as high as fifteen (15) times its rated current.
Rated current is basically the maximum limiting current. If the current exceeds its maximum limit, there will be overheating and, in severe circumstances, a short circuit will result.
A circuit breaker is a type of electrical safety device used to guard against short circuit damage to an electrical circuit.
An example of circuit breakers that are most frequently used in low voltage circuits is Miniature Circuit Breakers (MCBs).
These are the switches that automatically turn off when the current in a circuit exceeds the safe limit.
So, to ensure complete protection against short circuits & overloading, a circuit breaker may need to switch short circuit current as high as fifteen times its rated current.
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Why does water require such a higher temperature to raise the pressure than neon?
Water require such a higher temperature to raise the pressure than neon due to strong bonds between atoms of water.
Why does water require such a higher temperature to raise the pressure than neon?
Water require such a higher temperature to raise the pressure than neon because it has strong hydrogen bonds and having high specific capacity as compared to other atoms and molecules.
So we can conclude that water require such a higher temperature to raise the pressure than neon due to strong bonds between atoms of water.
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Astronomers estimate that the runoff channels seen on Mars must be at least 3.9 billion years old. How do they estimate ages like this
They estimate ages by counting impact craters in the regions containing these channels.
A depression created by the hypervelocity impact of a smaller body on the surface of a planet, moon, or other solid body in the Solar System or elsewhere is known as an impact crater.
Even when the records are hidden beneath the surface, impact craters give researchers access to a planet's geological past.
Our understanding of the past and present of the Solar System has been greatly aided by lessons learned from impact craters.
Older surfaces have had more time to be exposed to hitting bodies like meteoroids, asteroids, and comets than younger surfaces. Older surfaces therefore have more impact craters.
Therefore, astronomers estimate that the runoff channels seen on Mars must be at least 3.9 billion years old by counting impact craters in the regions containing these channels.
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aaron and john have 56 m of rope altogether. aaron's rope is 3 times as long as john's rope. What is the length of aaron's rope
Answer: Aaron and john have 56 m of rope altogether. Aaron's rope is 3 times as long as john's rope. Then the length of Aaron's rope is 42m.
Explanation: To solve this problem, we need some basic mathematic problems relating variables.
How to solve the problem?Here, we have given that, the total length of the rope, that both Aron and John have as, 56m.We can rewrite it in terms of equation such as,[tex]L_A+L_J=56m[/tex] , where La is the length of Aron's rope and Lb is that of John's rope.
The length of Aron's rope is 3 times equal to that of John's rope. It leads to the equation,[tex]L_A=3L_J[/tex]
We can substitute above equation in the first equation,[tex]3L_J+L_J=56\\4L_J=56\\L_J=\frac{56}{4}=14m[/tex]
Thus, the length of Aron's rope will be,[tex]L_A=3*L_J=3*14=42 m[/tex]
Thus, from the above calculations, we can conclude that, the length of Aaron's rope is 42m.
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How much electrical energy is involved in this transformation? 60 j 80 j 100 j 120 j
The initial amount of electrical energy involved is 120 J
What is Electrical energy:
It is referred to as the energy that has been converted from electric potential energy.It is also derived as a result of movement of electrically charged particles.Here,
we have an initial amount of electrical energy, E.
E is converted into two forms of energy
light energy (L) heat energy (H)given light energy, L = 20 J
and the Heat energy, H = 100 J
The law of conservation of energy states that energy cannot be created nor destroyed, but only converted into other forms.
According to The law of conservation of energy:
E = L + H
substituting the values, we get
E = 20 + 100
E = 120 J
So, option D is correct.
The initial amount of electrical energy involved is 120 J
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Your question is incomplete as the figure is missing, but most probably the question was:
How much electrical energy is involved in this transformation?
60 J
80 J
100 J
120 J
A 290-turn solenoid having a length of 32 cm and a diameter of 11 cm carries a current of 0.30 A. Calculate the magnitude of the magnetic field inside the solenoid.
The magnitude of the magnetic field inside the solenoid is 3.4×10^(-4) T.
To find the answer, we need to know about the magnetic field inside the solenoid.
What's the expression of magnetic field inside a solenoid?Mathematically, the expression of magnetic field inside the solenoid= μ₀×n×In = no. of turns per unit length and I = current through the solenoidWhat's is the magnetic field inside the solenoid here?Here, n = 290/32cm or 290/0.32 = 906I= 0.3 A
So, Magnetic field= 4π×10^(-7)×906×0.3 = 3.4×10^(-4) T.Thus, we can conclude that the magnitude of the magnetic field inside the solenoid is 3.4×10^(-4) T.
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A pendulum takes 4 seconds to make one complete swing. A man walks 100m in a straight line while the pendulum makes 20 complete swings. Determine the average velocity of the man.
The average velocity of the man is determined as 1.25 m/s.
Average velocity of the man
Total distance traveled by the man = 100 m
If 1 complete cycle = 4 s
20 complete cycle = ?
= 20 x 4 s
= 80 s
Average velocity = total distance/total time
Average velocity = 100 m/80 s
Average velocity = 1.25 m/s
Thus, the average velocity of the man is determined as 1.25 m/s.
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3) An electron travels at uniform velocity of 320 km/s. How much time is
required for a displacement of 1.00m
Answer:
0.003125 seconds
Explanation:
v = d/t
320 = 1/t
t = 1/320 (0.003125) seconds
Suppose two children are using a uniform seesaw that is 3.00 m long and has its center of mass over the pivot. The first child has a mass of 30.0 kg and sits 1.40 m from the pivot. (a) Calculate where the second 18.0 kg child must sit to balance the seesaw. (b) What is unreasonable about the result
The second 18.0 kg child must sit 2.33 m board to balance the seesaw.
(a) Under equlibrium condition, the net torque is constant
m1 g x1 = m2 g x2
30 kg ( 1.4) = 18 ( x2)
x2 = 2.33 m board.
(b) Since the seesaw is 3.0 m long the pivot point will be the center of the seesaw which is a 1.50 m board on the other side of the pivot.
As per calcualtion second child mist sit at a distance of 2.33 from the pivot point which means off the board this is unreasonable about the result.
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If it takes an average of 14 billion years before any proton inside the Sun will undergo fusion, and the Sun is only about 5 billion years old, why do astronomers believe that fusion is going on there now
The explanation of astronomers believe that fusion is going in sun after knowing that fusion takes average 14 billion year to undergo and sun is just 5 billion year old is that there are few protons in the sun who undergo fusion by few collisions only and not have to wait 14 billion years.
Before fusing with another proton, a proton will bounce off other protons in the Sun's crowded core for around 14 billion years, at a pace of 100 million collisions per second. However, this is merely the average wait time. Some of the massive number of protons in the Sun's inner area are "lucky," and it only takes a few collisions to produce a fusion reaction, these are the protons responsible for the Sun's energy. Most of the Sun's protons have not yet been involved in fusion reactions because it is around 4.5 billion years old.Thus we can say as their exist few protons inside sun who can undergo the fusion after few collisions only, the astronomers believe that fusion is going on there now also.
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What do the arrows around the positive point charge illustrate?
The arrows around the positive point charge illustrates the direction of the electric force/field.
What is Electric field?
This is described as an area in which force is exerted om other charged particles or objects.
Arrows could be around the positive or negative point charge and helps to depict the direction of the electric force.
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Students are asked to conduct an investigation on the mixing of color. They have three flashlights, each covered with a piece of colored acetate (a transparent plastic). One flashlight is red, one is green, and one is blue. They shine the lights against a white background and observe that when the colors are mixed together, they see a white light. The students then hold a hand in front of the white background and switch on the lights one at a time. They record their observations for the color of the object and its shadow. They repeat this experiment with all three lights on and record the shadows they observe. Which best explains the difference in the results obtained for the shadow colors with all three lights on?
Block the red and green lights and you get a blue shadow. Block all three lights, you get a black shadow.Block one of the three lights, you get a shadow whose colour is a mixture of the two other colours.
What is colour spectrum?The distribution of colors produced when light is dispersed by a prism.
In this demonstration,
Students experiment with red, green, and blue light to get different shadow colours.
Primary colors are not a fundamental property of light but are related to the physiological response of the eye to light. Light is a continuous spectrum of all of the wavelengths that can be detected by the human eye.
The human eye normally contains only three types of colour ranges of the colour spectrum.
Humans and other species with three such types of color receptors are known as trichromats.
The R, G, B cones are most sensitive to the red, green, and blue wavelengths.
The colours each receptor is the most sensitive to. The blue cone will also pick up purple, blue, and green hues.
Green cones will pick up purple, blue, green, yellow, and orange hues. Red cones will pick up purple, blue, green, yellow, orange, and red hues. The sensitivities of the three cones overlap to let us perceive all visible colours.
Hence,
When red light, blue light, and green light stimulate the three colour receptors on our retinas equally, the signal gets blended in our brain and we see "white" light.
This is why we see sunlight as white light, not as its individual colours.
Slight changes in the relative signals of the cones enable us to see a myriad of different colour combinations, which is why we "see" more than just three colours.
In this demonstration, coloured filters are affixed to flashlights.
The coloured filters block some wavelengths and let others through. The red-filtered flashlight puts out wavelengths from red through to orange and yellow. The green-filtered flashlight puts out yellow, green and blue wavelengths. The blue-filtered flashlight puts out green, blue, and purple wavelengths.
When the three coloured light bulbs all shine on the same surface, we see all the wavelengths from red through to purple, which we perceive as white.
With these three coloured lights you can make shadows of seven different colours:
Blue, red, green, black, cyan (blue-green), magenta (pink), and yellow.
If you block two of the three lights, you get a shadow of the third color.
Block the red and green lights and you get a blue shadow.Block all three lights, you get a black shadow.Block one of the three lights, you get a shadow whose colour is a mixture of the two other colours.Learn more about colour spectrum here:
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Which quantity may be calculated directly using Newton's second law of motion?
weight
velocity
position
direction
Answer:
Weight
Explanation:
The second law of motion by Newton can be used to determine weight.
A cold region of dust which scatters the light of nearby stars produces a nebula which appears ________ in color, such as the one encompassing the Pleiades cluster.
Answer:
Explanation:
A cold region of dust that scatters the light of nearby stars produces a nebula that appears blue in color, such as the one encompassing the Pleiades cluster.
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