The deflection angle would have been 37.29º if the prism had been made of polystyrene plastic.
As we know that the deflection angle is an angle between the moving object from its directed course.
In the following question the deflection angle as laser enters the beam is, B = 22.6º
refractive index of glass, n1= 1.52
refractive index of polystyrene plastic, n2 = 1.59
Now when we see for the second surface then ,
B = 45º - 22.6º
B = 22.40º
So from Snell's law:
n1 sinθ1 = n2 sinθ2
→ sin B / sinθ = n1 / n2
sinθ = (sin 22.40º) × ( 1/ 1.59)
θ = 37.29º
Thus, the deflection angle should be 37.29º if the prism is made of polystyrene plastic.
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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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The curved section of a speedway is a circular arc having a radius of 190 m. this curve is properly banked for racecars moving at 34 m/s. at what angle with the horizontal is the curved part of the speedway banked?
The banking angle of the curved part of the speedway is determined as 32⁰.
Banking angle of the curved road
The banking angle of the curved part of the speedway is calculated as follows;
V(max) = √(rg tanθ)
where;
r is radius of the pathg is acceleration due to gravityV² = rg tanθ
tanθ = V²/rg
tanθ = (34²)/(190 x 9.8)
tanθ = 0.62
θ = arc tan(0.62)
θ = 31.8
θ ≈ 32⁰
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the deflection angle of the laser beam as it exits the prism is 22. 6º. If the prism had been made of glass instead of polystyrene plastic, what would the deflection angle have been?.
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
The center of mass of the system is the point at which the total mass of the system could be concentrated without changing the ____________.
The centre of mass of the system is the point at which the total
mass of system could be concentrated without changing the moment
of the system.
Centre of Mass is the point at which the whole mass of the system
is assumed to be concentrated.
The general formula for the COM is:
xₙ = Σmₐxₐ / Σmₐ where, a = 1,2,3.........n
Here the term Σ mₐ xₐ is called the first moment of the system and the
denominator expression is called total mass of the system.
Therefore, from this theory we can say that the moment of the system
remain unchanged while calculating the COM.
Hence, The centre of mass of the system is the point at which the total
mass of system could be concentrated without changing the moment
of the system.
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_______________ 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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10.A uniform cord has a mass of 0.300 kg and a length of 6.00 m. The cord passes over a pulley and supports a 2.00 kg object. Find the speed of a pulse traveling along this cord.
The speed of a pulse traveling along the cord, v = 19.8 m/s.
What is the speed of the pulse traveling along the cord?The tension, T on the cod is first obtained as follows:
T = 2.0 * 9.8 m/s²
T = 9.6 N
The mass per unit length, μ of the cord is then determined:
μ = 0.3/6
μ = 0.05 kg/m
The speed of the pulse, v = √(T/μ)
v = √(9.6/0.05)
v = 19.8 m/s
In conclusion, the speed of the pulse is the distance covered per unit time.
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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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The density of mercury is 13.6 g/ml. what is its density in lbs/l? (hint: 1 lb = 0.454 kg)
The density of the mercury in lbs/l is 29.96 lbs/l.
Density: The ratio of the mass of the substance to its total volume is defined as the density of that substance.
The formula of the density is,
d=m/V
where d is the density, m is the mass and V is the volume.
Conversion of the unit from g/ml to lbs/l:
It is given that the density of the given substance is 13.6 g/ml.
1 lb = 0.454 Kg
1 kg = 1000 g
So 1 lb = 0.454 *1000 g
1 lb = 454 g
That means 1 g = 1/454 lb
Then 1 ml = 0.001 l.
Using these values, the density of the given substance in lbs/l is calculated.
13.6 g/ml = (13.6 g/ml)*(1 lb/ 454 g)÷(0.001 l/ml)
13.6 g/ml = 29.96 lbs/l
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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:
3) What type of energy does a moving car release?
A) Chemical
B) Electrical
C) Mechanical D) Radiant
4) What type of energy do explosions release?
A) Chemical
B) Electrical
C) Mechanical D) Radiant
5) What type of energy does an x-ray give off?
A)Chemical
B) Electrical
C) Mechanical D) Radiant
What type of energy are the following:
6) A battery in your phone?
A) Potential Energy
B) Kinetic Energy
7) A battery in its package?
A) Potential Energy
B) Kinetic Energy
Answer:
Read the information down below. Hope it helps :)
Explanation:
3) C. When gasoline burns in a car engine, some of the chemical energy in the gasoline is converted into heat, then the heat is converted into mechanical energy, and finally mechanical energy moves the car.
4) A. Chemical energy is energy released when a substance undergoes a chemical reaction.
5) D. Radiant energy includes visible light, x-rays, gamma rays, and radio waves.
6) 1. Chemical energy. A battery stores chemical energy and converts it to electrical energy.
2. Potential energy is stored energy and the energy of position.
3. Kinetic energy is the energy of motion.
7. A battery is a device that stores chemical energy and converts it to
electrical energy.
8. Potential energy is stored energy and the energy of position.
9. Kinetic energy is the energy of motion.
The correct answer is 3).The correct option is C). 4) The correct option is A).
5). The correct option is D). 6). The correct option is A). 7) The correct option is A).
3). A moving car releases Kinetic and Potential energy both of which comes under the category of Mechanical energy.
4). Explosions releases heat which is produced due to chemical reaction during explosion, Explosions' releases Chemical energy
5) X-ray are electromagnetic radiations, They are released when electron losses it's speed.
6) A battery in the phone can be considered as an example of Potential energy as charging occurs due to change in potential difference.
7) A battery in it's package is an example of potential energy.
The correct options are 3).B, 4).A, 5).D, 6).A 7)A.
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When Stone B collides with Stone A during Test 2, Stone B stops and Stone A begins to move. Which statement BEST describes the momentum in Test 2?
A
Stone A moves away from Stone B at a velocity of 4 m/s, and the momentum is conserved.
B
Stone A moves away from Stone B at a velocity of 2 m/s, and the momentum is not conserved.
C
Stone A moves away from Stone B at a velocity of 4 m/s, and the momentum is not conserved.
D
Stone A moves away from Stone B at a velocity of 2 m/s, and the momentum is conserved.
Answer:
A
Explanation:
According to law of conservation of momentum, the total momentual in the system will be conserved
Stone A moves away from Stone B at a velocity of 2 m/s, and the momentum is not conserved is the correct answer. The correct option is (b).
The momentum of Stone A is transferred to Stone B when Stone B strikes Stone A and stops. Stone A begins to move with a 2 m/s velocity in the opposite direction as a result (because Stone B was going with a 2 m/s velocity in the opposite direction).
The momentum is not conserved, though, because the momentum of Stone B prior to the impact (which was in the opposite direction) does not match the momentum of Stone A following the contact. The impact results in a little loss of momentum, perhaps as a result of friction or other dissipative forces.
Therefore, The correct option is (b). Stone A moves away from Stone B at a velocity of 2 m/s, and the momentum is not conserved.
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difference between derived quantity and physical quantity
Answer:
Derived quantities are based on fundamental quantities, and they can be given in terms of fundamental quantities.Fundamental quantities are the base quantities of a unit system, and they are defined independent of the other quantities.Explanation:
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[tex]\\ \blue{MaggieEve}[/tex]
There are three 80.0N forces: force one is pointing in the direction 30o north east, force 2 points 30o north of west, and force three points directly north. What is the sum of all three forces
The sum of the three forces are .
Given:- There are three forces: force one is pointing in the direction north east, force points north of west, and force three points directly north.
To Find:- We have to find the sum of the three forces.
By using the concept of the force it will be solved.
According to the problem,
The sum of the three forces are .
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To determine the focal length of a convex lens, a student focuses a classroom window, a
distant tree and Sun on the screen. In which case, will the student get a value closer to
the accurate value of focal length?
To determine the focal length of a convex lens, if we are using sun as distant object, then we get a value which is closer to the accurate value of convex lens.
To find the answer, we need to know more about the focal length of a convex lens.
Why we get a focal length which is closer to the accurate value if we focusing sun?The focal length of an optical system can be defined as the measure of how sharply it converges or diverges the light.Focal length of convex lens is the distance between the pole and the focus of the convex lens.Convex lens converges all the rays coming from the distant object at its focal point to form a real image.If the object is at more distance from the lens, then we get sharper image.If we focus on a nearby window, then image will form away from the focal point.In the case of a distant tree, we need to move the screen towards the lens to get the focal point.Thus, we can conclude that, the if we are using sun as distant object, then we get a value which is closer to the accurate value of convex lens.
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If we use the sun as a distant object to calculate the convex lens's focal length, we obtain a number that is more closely related to the actual convex lens value.
We need to learn more about a convex lens's focal length in order to locate the solution.
Why, if we concentrate the sun, do we obtain a focal length that is closer to the correct value?An optical system's focal length is a measurement of how sharply the light converges or diverges.The distance between the convex lens's pole and its focus is known as its focal length.Convex lenses focus all of the rays from the distant object at their focal point to create a true image.We receive a crisper image if the object is farther away from the lens.Away from the focal point, an image will form if we concentrate on a neighboring window.To get the focal point on a distant tree, we must move the screen in the direction of the lens.We can therefore draw the conclusion that if we use the sun as a distant object, we will obtain a value that is closer to the convex lens's actual value.
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An athlete runs with velocity 11 km/h for 5 minutes, 16 km/h for the next 4 minutes, and 18 km/h for other 6 minutes. Compute the total distance traveled.
Answer:
46.656km
Explanation:
it covers 46.656 km
An athlete runs with a velocity of 11 km/hr for 5 minutes then the next 4 minutes at a speed of 16 km/hr and the next 6 minutes with a speed of 18 km/hr then the total distance traveled by the athlete is 3.78 km.
What is Velocity?Velocity is the rate of change in direction of an item in motion as defined by a specific standard of time and observed from a specific frame of reference. Kinematics, the area of classical physics that studies how bodies move, uses the concept of velocity as a fundamental building block.
It takes combined magnitude and direction to define velocity, a physical vector quantity. Speed is a coherent-derived unit that expresses the scalar exact number (magnitude) of velocity. Its quantity is expressed in SI units of meters per second.
Firstly,
11 km/ hr for 5 minutes = 5/60 × 11 = 11/12
16 km/hr for 4 minutes = 4/60 × 16 = 16/15
18 km/hr for 6 minutes = 6/60 × 18 = 18/10
Net distance travelled = 11/12 + 16/15 + 18/10 = 3.78 km
Therefore, the net distance traveled by the athlete is 3.78 km.
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Which phrase is most similar in meaning to “scientific theory”?
A. a rigorously tested explanation
B. a mathematical relationship
C. an opinion of what should happen
Answer:
scientific theory”?A. a best guess explanation. B. a rigorously tested explanation. C. an opinion of what should happen. D. a mathematical relationship
A graduated cylinder has 155 ml of water in it. When a rock is dropped in the new water level is 185 ml. The volume of the rock is
Answer:
30cm^3
Explanation:
ml means milliliter, 1 ml= 1cm^3 that's the unit for volume
hence
Δv=185-155=30ml=30cm^3
What is the original source of energy for the following energy sources: wind, coal, petroleum, natural gas, solar?
wind energy - wind is source
coal - coal is source
petroleum - Crude oil is source
natural gas - fossil energy is source
solar - sun is source
What is Energy and Sources of Energy ?The classical description of energy is the ability of a system to perform work, but because energy exists in so many forms, it is hard to find one comprehensive definition
There are two sources of energy: renewable and nonrenewable energy.Primary energy sources take many forms, including nuclear energy, fossil energy -- like oil, coal and natural gas -- and renewable sources like wind, solar, geothermal and hydropower.Learn more about Energy here:
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Answer:
i think it is d
Explanation:
hope this helps!!!
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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If the measured resistance of a diode is very high in both directions, the diode is probably __________.
Diode is probably fault.
Diode is an electrical component which allows current to flow in one direction and heavy resistance in other direction.
The working of diode is based on the p-n junction which have
more electron and less hole if p-n junction is n-type and vice-versa.
There are various uses of diode in electric appliances.
If the diode possess high resistances in both the directions then there is
no flow of current. So, the diode must be fault .
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When two air masses collide at a front, one air mass may be pushed upward by the other. This is because ____.
Answer: When two air masses collide at a front, one air mass may be pushed upward by the other. This is because one air mass is denser than the other.
Explanation: To know the correct answer, we need to know more about the Collision of Air masses.
What is an air mass?An air mass can be defined as the large volume of air in the atmosphere. It forms due to the uniform levels of temperature, humidity and pressure.What happens when two air masses collide with each other?When two air masses collide at a front, they never mix together. But they push against each other in such a way that, one will push upwards and the other will pushed downward.It happens because, one among the two air masses will be denser than the other.When a warm air mass meets a cold air mass, then the warm air will raise because it is lighter than the cold one.Thus, from the above explanation, we can conclude that, one air mass may be pushed upward by the other, because one air mass is denser than the other when they came in contact with each other.
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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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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 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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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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Why is it very hard to use the Doppler shift method of detecting planets to discover a planet like Earth
Doppler shift method cannot be used to detect a planet like earth because the mass of Earth is very less.
What is Doppler's effect?
The Doppler effect is produced when an apparent upward shift in frequency of a moving source of waves is observed by the observer towards which the source is approaching also when an apparent downward shift in frequency of observed by the observer when the source is receding.
In astronomy Doppler effect is used by observing the shift in frequency of electromagnetic waves produced by moving stars in our galaxy and beyond. This takes place in the manner:
Electromagnetic radiation emitted by stars of distant galaxies that appear to be shifted downward in frequency show a red shift. This takes place when the star is rotating in its cluster directed away from the Earth.Electromagnetic radiation emitted by stars of distant galaxies that appear to be shifted upwards in frequency show a blue shift. This takes place when the star is rotating in its cluster directed towards the Earth.The Doppler shift method is useful for greater celestial masses. The mass of earth is very less in comparison, thus the Doppler shift method cannot be used to discover a planet like Earth.
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A 1000 kg car is turning round a corner at 10 m/s as it travels along an arc of the circle. If the radius of the circular path is 10 m, how large a force must be exerted by the pavement on the tires to hold the car in the circular path?
Answer:
The force should be equal to 10000 N.
Explanation:
When the car turns round a circular path, it is assumed that there is some centripetal force acting towards the center.
The centripetal force is calculated by the formula,
F=mv^2/r
Given m=1000 kg, v=10 m/s and r=10 m.
F=1000*(10)^2/10
F=10000 N
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A pendulum with a length of 36.9 cm has a period of 1.22 s. Calculate the gravitational field at the pendulum’s location.
From the calculation, the gravitational field at the pendulum’s location is 9.8 m/s^2
What is a pendulum?A pendulum is a device that is used to demonstrate oscillatory motion. We have the following information.
l = 36.9 cm or 0.369 m
T = 1.22 s
Then;
T = 2π√l/g
T/2π = √l/g
(T/2π)^2 = l/g
g(T/2π)^2 = l
g = l/(T/2π)^2
g = 0.369/(1.22/2 *3.14)^2
g = 9.8 m/s^2
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