Answers
Answer:
a) θ₁ = 48.6º angle of incidence must be greater than this value for the ray to be reflected
b) θ₁ = 49.8º, the angle of incidence is greater than this value, the ray is reflected.
Explanation:
When a ray of light passes from one medium to another it must comply with the law of refraction, in the case of the incident medium it has a refractive index greater than the medium to which it must transmit, total internal reflection can occur
n₁ sin θ₁ = n₂ sin θ₂
where we use subscript 1 for the incident medium and subscript 2 for the refracted medium.
In the case of θ₂ = 90, the sin 90 = 1, internal total reflection occurs.
sin θ₁ = n₂ / n₁
the medium where it is transmitted is air with n₂ = 1
in the first diagram the incident medium is water with n₁ = 1,333
let's calculate the angle of incidence for the total internal reflection to occur
sin θ₁ = 1 / 1,333
θ₁ = sin⁻¹ 0.7502
θ₁ = 48.6º
the angle of incidence must be greater than this value for the ray to be reflected
second case the refractive index of ice is n₁ = 1.309
sin θ₁ = 1 / 1.309
θ₁ = sin⁻¹ 0.7639
θ₁ = 49.8º
as the angle of incidence is greater than this value, the ray is reflected.
Related Questions
Determine the impulse required to stop a 0.145-kg baseball moving at 35.7 m/s (80.0 mi/hr)
Answers
Answer:
Impulse = -5.177 Ns
Explanation:
Given the following data;
Mass = 0.145-kg
Velocity = 35.7 m/s
To find the Impulse to stop the baseball;
Now, we would find the change in velocity.
[tex] Change \; in \; velocity = final \; velocity - initial \; velocity [/tex]
Substituting into the equation above;
Change in velocity = 0 - 35.7 = -35.7m/s
[tex] Impulse \; of \; force = mass * change \; in \; velocity [/tex]
Substituting into the formula, we have;
Impulse = 0.145 * -35.7
Impulse = -5.177 Ns
Nite: Since it's working to stop the ball, it would be negative.
stephen stigler determined in 1977 that the speed of light is 299,710.5 km/sec. in 1882, albert michelson is there enough evidence to show that michelson's data is different from stigler's value of the speed of light? test at 5% level
Answers
Answer: hi your question is incomplete attached below is the complete question
answer :
population parameter( μ ) : mean speed of light measured by Albert Michelsonnull hypothesis ( H₀ ) : μ = 299,710.5km/s.Alternate hypothesis ( Hₐ ) : μ ≠ 299,710.5 km/secRandom variable : Speed of light measured by Albert Michelson.Explanation:
Using the information provided in the question attached I will match each term with its corresponding meaning
population parameter( μ ) : mean speed of light measured by Albert Michelson, here the parameter of interest is the speed of light measured/recorded by Albert which is represented as population mean μnull hypothesis ( H₀ ) : μ = 299,710.5km/s. given that the test is to determine if the speed of light recorded by both scientists are the sameAlternate hypothesis ( Hₐ ) : μ ≠ 299,710.5 km/sec. given that the test is to determine if the speed of light recorded by both scientists are the sameRandom variable ( x ) : Speed of light measured by Albert Michelson. her we are trying to bring to conclusion data measured by Albert Michelsonin the water circuit model which part represent the wire
1)pump
2)pipes
3)tap
Answers
Answer:
pipes
Explanation:
HELPPPPPPPPPPPPPPPPPP OMGGGGGGGGGGGGGGGGGGGGGGG
When Friction is created between two objects create ________ ________
(two things)
Answers
Answer:
When friction acts between two surfaces that are moving over each other, some kinetic energy is transformed into heat energy.
HELPPP 40 POINTS!!!! Mr. Tedesco has two metal cubes, one made of
tin and the other made of silver. He heats the tin
cube to 80°C and places the silver one in the
freezer until it reaches 5°C. He places the cubes
in a beaker containing water at 20°C. The cubes
do not touch. Which best describes how heat
will flow in the system?
Answers
Answer: Heat energy is transferred from warmer objects to cooler objects.
Explanation:
If an object is placed 10cm in front of a converging lens that has a focal length of 15cm. What are the properties of the image?
Answers
Answer:
Enlarged [Size]
Virtual and Erect [Nature]
On the same side of the lens as the object [Position]
Explanation:
True or False all elements emitt the same amount of light?
1 point
A.True
B.False
Answers
Hope you have a good day ❤️
Which force binds the nucleus together despite the fact there are protons in close proximity to each other?
A.weak nuclear
B
strong nuclear
C
gravitational
D
electromagnetic
Answers
Answer:
The correct answer is B. Strong Nuclear.
Explanation:
An atom contains protons, neutrons, and electrons. The nucleus of an atom consists of bound protons and neutrons (nucleons). The negatively charged electrons are attracted to the positively charged protons and fall around the nucleus, much like a satellite is attracted to the gravity of the Earth. The positively-charged protons repel each other and aren't electrically attracted or repelled to the neutral neutrons, so you may wonder how the atomic nucleus sticks together and why protons don't fly off.
The explanation for why protons and neutrons stick together is known as "the strong force." The strong force is also known as the strong interaction, color force, or strong nuclear force. The strong force is much more powerful than the electrical repulsion between protons, however, the particles have to be close to each other for it to stick them together.
Two train cars moving in the same direction are going to be coupled together. The mass of the first car is 5,000 kg and is moving at 5 m/s; the second car weighs the same, but is moving at 1 m/s. How fast will the two coupled cars move and how much kinetic energy does the system lose from coupling the cars together after they collide
Answers
Answer: [tex]3\ m/s,\ 20,00\ J[/tex]
Explanation:
Given
Mass of the first car [tex]m_1=5000\ kg[/tex]
Mass of the second car [tex]m_2=5000\ kg[/tex]
The velocity of the first car is [tex]v_1=5\ m/s[/tex]
The velocity of the second car is [tex]v_2=1\ m/s[/tex]
Conserving momentum, take [tex]v_o[/tex] as the velocity after coupling
[tex]\Rightarrow m_1v_1+m_2v_2=\left( m_1+m_2\right)v_o\\\Rightarrow 5000\times 5+5000\times 1=\left( 10,000\right)v_o\\\\\Rightarrow v_o=\dfrac{25,000+5000}{10,000}\\\\\Rightarrow v_o=\dfrac{30,000}{10,000}\\\Rightarrow v_o=3\ m/s[/tex]
[tex]\text{Initial kinetic Energy }K_1=\frac{1}{2}m_1v_1^2+\frac{1}{2}m_2v_2^2\\\\\Rightarrow K_1=\frac{1}{2}\times 5000\left( 5^2+1^2\right)\\\\\Rightarrow K_1=65,000\ J\\\\\\\text{Final Kinetic Energy}\ K_2=\frac{1}{2}\left(m_1+m_2\right)v_o^2\\\\\Rightarrow K_2=\frac{1}{2}\times 10,000\times 3^2\\\\\Rightarrow K_2=45,000\ J\\\\\text{Kinetic energy lost is equivalent to change in Initial and final energy i.e.}\\\\\Rightarrow K_1-K_2=65,000-45,000\\\\\Rightarrow K_1-K_2=20,000\ J[/tex]
Define 1ohm resistance
Answers
Answer:
1 ohm is equal to one volt (V)/ one ampere (1A) 1 Ohm is defined as the resistance of a conductor with a potential difference of 1 volt applied to the ends through which 1-ampere current flows. Ohms is the SI unit of electrical resistance.
Explanation:
I hope it's help u
Someone is not paying attention while speeding down the tramway. Their truck has a mass of 2000 kg. Going a whopping 34.1 m/s (76.3 mph) the truck crashes into a stationary Corolla (mass of 1100 kg). If the truck comes to a complete stop, how fast does the Corolla slide forward when it is hit
Answers
Answer:
Explanation:
This question comes from Conservation of Momentum
M1=2000kg
U1=34.1ms^-1
Now this truck crashes into a stationary corolla
Since its stationary
U2=0
M2=1100kg
The Moving Truck came to a complete stop(or rest)
Its Final Velocity V1=0
Mass still remains the same
The corolla will move with a speed V2
Applying the formula for conversation of Momentum
M1U1 + M2U2 = M1V1 + M2V2
2000(34.1) + 1100(0) = 2000(0) + 1100(V2)
2000(34.1) = 1100(V2)
V2 = 2000(34.1)/1100
V2 =62ms^-1
100 g of Ice at -10°C is added into a
liquid juice at 20°c . The temperature of Juice
dropped to l0°c after all the Ice has melted.
Calculate the mass of the Juice responsible
for metting an Ice
Answers
Answer:
The mass of the juice responsible for melting the ice is 949.043 grams.
Explanation:
By the First Law of Thermodynamics, we understand that juice releases heat to the ice, which turns into water under the assumption that interactions between the ice-juice system and surroundings are negligible and energy processes are done in steady-state. Since juice is done with water, its specific heat will be taken as of the water. The process is described by the following formula:
[tex]m_{i} \cdot [c_{i}\cdot (T_{1}-T_{2}) - L_{f} + c_{w}\cdot (T_{2}-T_{3})] + m_{w} \cdot c_{w}\cdot (T_{4}-T_{3}) = 0[/tex] (1)
Where:
[tex]m_{i}[/tex] - Mass of ice, in grams.
[tex]m_{w}[/tex] - Mass of the juice, in grams.
[tex]c_{i}[/tex] - Specific heat of ice, in joules per gram-degree Celsius.
[tex]c_{w}[/tex] - Specific heat of water, in joules per gram-degree Celsius.
[tex]L_{f}[/tex] - Latent heat of fusion, in joules per gram.
[tex]T_{1}[/tex] - Initial temperature of ice, in degrees Celsius.
[tex]T_{2}[/tex] - Melting point of water, in degrees Celsius.
[tex]T_{3}[/tex] - Final temperature of the ice-juice system, in degrees Celsius.
[tex]T_{4}[/tex] - Initial temperature of the juice, in degrees Celsius.
If we know that [tex]m_{i} = 100\,g[/tex], [tex]c_{i} = 2.090\,\frac{J}{g\cdot ^{\circ}C}[/tex], [tex]c_{w} = 4.18\,\frac{J}{g\cdot ^{\circ}C}[/tex], [tex]L_{f} = 334\,\frac{J}{g}[/tex], [tex]T_{1} = -10\,^{\circ}C[/tex], [tex]T_{2} = 0\,^{\circ}C[/tex], [tex]T_{3} = 10\,^{\circ}C[/tex] and [tex]T_{4} = 20\,^{\circ}C[/tex], then the mass of the juice is:
[tex]m_{w} = \frac{m_{i}\cdot [c_{i}\cdot (T_{1}-T_{2}) - L_{f} + c_{w}\cdot (T_{2}-T_{3})]}{c_{w} \cdot (T_{3}-T_{4})}[/tex]
[tex]m_{w} = \frac{(100\,g)\cdot \left[\left(2.090\,\frac{J}{g\cdot ^{\circ}C} \right)\cdot (-10\,^{\circ}C) - 334\,\frac{J}{g} +\left(4.18\,\frac{J}{g\cdot ^{\circ}C} \right)\cdot (-10\,^{\circ}C) \right]}{\left(4.180\,\frac{J}{g\cdot ^{\circ}C} \right)\cdot (-10\,^{\circ}C)}[/tex]
[tex]m_{w} = 949.043\,g[/tex]
The mass of the juice responsible for melting the ice is 949.043 grams.
A siren moves toward you. What happens to the wavelength of
the sound you hear?
[the Wavelegnth decreases]
Answers
Answer: the wavelength increases
Explanation:
The picture shows an investigation conducted by Galileo many years ago. He learned that the speed of each ball increased as it fell, and that the balls fell at the same average speed. image Which of these statements is best supported by Galileo’s investigation?
Answers
Answer:
Italian astronomer Galileo Galilei provided a number of scientific insights that laid the foundation for future scientists. His investigation of the laws of motion and improvements on the telescope helped further the understanding of the world and universe around him.Nov 14, 2017
Explanation:
Facts about ecstasy
Answers
A student rubs a rubber balloon on their hair for several seconds. The student then rubs a second rubber balloon on her hair for the same length of time. The student determines that the first rubber balloon is repelled by the second rubber balloon, but the first rubber balloon is attracted to her hair. Which of the following claims, with appropriate evidence, if any, supports the notion of the two- charge model? Justify your selection.
A. The first rubber balloon is repelled by the second rubber balloon, but the first rubber balloon is attracted to the hair. These results show that two charges must exist because certain combinations of charges attract and certain combinations of charges repel.
B. The first rubber balloon is repelled by the second rubber balloon. This result shows that the charge of both objects must have the same sign.
C. The first rubber balloon is attracted to the hair. This result shows that the charge of both objects must be opposite in sign.
D. None of the claims nor evidence support the notion of the two-charge model.
Answers
Answer:
Option A
Explanation:
In this experiment, when balloon is rubbed on the chair electrons are transferred from the hair to the surface of the balloon thereby making balloon negatively charged and hair positively charged. When two negatively charged balloon are brought close to each other, they repel while when balloon is brought closer to the hair, they attract each other
Hence, option A is correct
A cylindrical space colony 8.00 km in diameter and 30.0 km long has been proposed as living quarters for future space explorers. Such a habitat would have cities, land, and lakes on the inside surface and air and clouds in the center. All this would be held in place by the rotation of the cylinder about the long axis. How fast would such a cylinder have to rotate to produce a 1-g gravitational field at the walls of the cylinder
Answers
Answer:
ω = 0.05 rad/s
Explanation:
In order to produce the acceleration equal to the acceleration due to gravity at the surface of Earth, the centripetal acceleration must be equal to the value of g:
[tex]a_c = g\\g = \frac{v^2}{r}\\\\but,\ v=r\omega\\therefore,\\\\g = \omega^2r\\\\\omega = \sqrt{\frac{g}{r}}[/tex]
where,
ω = angular speed = ?
g = acceleration due to gravity on the surface of the Earth = 9.81 m/s²
r = radius of cylinder = 8 km/2 = 4 km = 4000 m
Therefore,
[tex]\omega = \sqrt{\frac{9.81\ m/s^2}{4000\ m}}[/tex]
ω = 0.05 rad/s
Why does a transformer require alternating volt age?
1. Alternating voltage leads to electromagnetic induction which is necessary for the transformer to work.
2. Due to economic reasons; alternating voltage is cheaper to produce.
3. If we apply a constant. voltage to the primary coil, it will burn out due to short circuit.
4. No specific reason; the constant voltage would work just as well.
5. The magnetic field produced by the primary coil can reach the secondary coil more easily.
6. Energy can be transferred more efficiently if alternating voltage is used.
Answers
Answer:
Alternating voltage leads to electromagnetic induction which is necessary for the transformer to work.
Explanation:
According to Oxford dictionary; an alternating current is "an electric current that reverses its direction many times a second at regular intervals".
A transformer works on the principle of electromagnetic induction. A transformer requires an alternating current which can create a changing magnetic field leading to induced voltage in the coil.
Hence, a transformer requires alternating voltage because alternating voltage leads to electromagnetic induction which is necessary for the transformer to work.
Wha is the definition of health?
Answers
You see a train that is moving toward you and sounding its
whistle at a constant frequency. Compared to the sound
produced by the whistle, the wavelength of the sound
observed by you is
Answer: shorter
Answers
Answer: shorter
Explanation:
You normally drive on the freeway between San Diego and Los Angeles at an average speed of 105 km/h (65 mi/h), and the trip takes 1 h and 50 min. On a Friday afternoon, however, heavy traffic slows you down and you drive the same distance at an average speed of only 70 km/h (43 mi/h). How much longer does the trip take?
Answers
Answer: 2 hr 45 min
Explanation:
Given
The average speed between San Diego and Los Angeles is [tex]105\ kmph[/tex]
time taken for this trip is [tex]1\ hr\ 50\ min\ or\ \frac{11}{6}\ hr[/tex]
Distance between San Diego and Los Angeles is
[tex]\Rightarrow d=105\times \dfrac{11}{6}\\\\\Rightarrow d=192.5\ km[/tex]
For Friday afternoon, the average speed is [tex]70\ km/h[/tex]
time taken to complete the trip is
[tex]\Rightarrow t=\dfrac{192.5}{70}\\\\\Rightarrow t=2.75\ hr\ or\ 2\ hr\ 45\ min[/tex]
The speed of sound is approximately 340 m/s.what is the wavelength of a sound wave with a frequency of 1000Hz
Answers
Answer:
34cm
Explanation:
This 11.0-kg box is pulled 2.00 m to the right along the floor by applied
force
P
35.0 N at
O=
30.0
The coefficient of kinetic friction is
Mk
=
0.21. What is the magnitude of the work done by the kinetic friction
force? [Round your answer to the nearest whole number.]
ө
E
FR
Вk
Answers
Answer:
fffcdcffffdxxfxxtdyfycycycycy
Which of these uses the force of gravity to make it move?
OA
A sailboat moving across a lake
ОВ:
A car making a right turn
ОС:
A snow sled going downhill
OD
A bicycle rolling to a stop
Plz somebody help this is a test
Answers
Answer:
C: A snow sled going down hill
What is the total amount of force needed to keep a 6.0 kg object moving at speed
of 5.0 m/s? (F=ma)
A. 30 N
B. 60 N
C.ON
D. 10 N
Answers
A pulley system uses a flat belt of c.s.a. 4x100 mm2 and density 11x100 kg/m3. The angle of lap is 165o on the smaller wheel. The coefficient of friction is 0.39. The maximum force allowed in the belt is 637 N. Calculate the power (kW) transmitted when the belt runs at 13 m/s and centrifugal force is included.
Answers
Answer:
Note that the angle of lap is 165 degrees at the question above
So the power (kW) transmitted when the belt runs at 13 m/s and centrifugal force is included = 3.79782kW
Explanation:
Centrifugal force, Fc = pAv^2
Where p = density, A = c.s.a. v = veelocity
= 11x100 kg/m3 X 4x100 mm2 X (13 m/s)^2
= 1100 kg/m3 X 400 mm2 x 10^-6 X 169m/s
= 74.36N
P v (f - Fc) (1-e^-μθ)
The θ = (165 degrees ÷ 180 degrees) X π = 2.878 rads (π = 3.14)
So power p, = 10 (637 N - 74.36N) (1 - e^-0.39 x 2.878)
= 10 X 562.64 X 0.675
P = 3797.82 watts = 3.79782kW
A proton traveling due north enters a region that contains both a magnetic field and an electric field. The electric field lines point due west. It is observed that the proton continues to travel in a straight line due north. In which direction must the magnetic field lines point
Answers
Answer:
upward
Explanation:
In the electromagnetic system of force if the direction of motion of proton does not changes it means that the electric and magnetic forces are such a ways that they are cancelling each other's effect.
Since, electric field lines will exert a force on the proton to the west, hence, the magnetic force must force it to the east. It is well known that magnetic force acts perpendicular to the direction of magnetic field. magnetic field should point upward direction.
A radio station broadcasts with a carrier frequency of 920 kHz. What is the wavelength of the radio waves?
a. 276 m
b. 175 m
c. 22.6 m
d. 326 m
e. 226 m
Answers
Answer: 326m
Explanation:
To find the the wavelength of the radio waves, we can use the equation:
Wavelength = c/f
where,
c = 3 × 10^8 m/s
f = 920 × 10^3 kHz
Wavelength = 3 × 10^8 / 920 × 10³
Wavelength = 326.08696
Wavelength = 326m
(Will give Brainliest) Some scientists calculated that a whale can develop 150 kW of power when it is swimming under the water surface at a constant speed 7.77 m/s. Find the resistance force of the water exerted on the whale.
Answers
The resistance force of the water exerted on the whale is 19305 Newton.
What is power?
The quantity of energy moved or converted per unit of time is known as power in physics. The watt, or one joule per second, is the unit of power in the International System of Units. Power is also referred to as activity in ancient writings. A scalar quantity is power.
Power = 150 kW = 150,000 Watt.
Constant speed = 7.77 m/s.
Now, Power = the resistance force × speed
150000 Watt = the resistance force × 7.77 m/s
Hence, the resistance force = 150000 Watt/ 7.77 m/s
= 19305 Newton.
Learn more about power here:
https://brainly.com/question/29575208
#SPJ1
Will give brainliest! 50 points!!!
When the polarity of a moving magnet through a coil doubles the electromagnetic field _________.
A. Increases
B. Decreases
C. Stays the same
Answers
Answer:
A. Increases
Explanation:
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