The correct answer is a) r = 30.7, b) r = 50 c) 0.822 cm
(a)
According to Snell's laws :
The incident ray, the refracted ray, and their normal boundaries between the two media all lie on the same plane.
i = 50o
Using Snell's Law
ni × sin(i) = nr × sin(r)
1.0 × sin(50) = 1.5 × sin(r)
r = 30.7
(b)
The Angle of refraction will be same as Angle of incidence, i = 50
So,
Final Angle of refraction, r = 50
(c)
Thickness, t = 5.0 cm
Difference = t × [sin(50) - sin(30.7)]
x = 5.0 × [sin(50) - sin(30.7)]
x = 1.28 cm
The ray is displaced by , = 1.28 × sin(90 - 50) cm
= 0.822 cm
To learn more about Snells law refer the link:
https://brainly.com/question/15166994
#SPJ4
How can you separate chalk from
chalky water?
Answer:
Yes
Explanation:
Because the call can evaporate from the water.
Answer:
A centrifuge is utilized to isolated little sums of strong held in suspension from the fluid. For case, chalk from water. The centrifuge contains test-tubes that are spun around at tall speed that causes the strong to sink to the foot of the tube. The fluid is the tapped (poured off) clearing out the strong behind.
Express
3sinωt+8cosωt
in the form
Rsin(ωt+α)
The expression 3sinωt + 8cosωt can be written in the form Rsin(ωt + α) as follows:
Rsin(ωt + α) = √(3² + 8²) sin(ωt + α)
In order to express 3sinωt + 8cosωt in the form Rsin(ωt + α), we need to find the values of R and α.
To determine the value of R, we can use the Pythagorean theorem, which states that for any right triangle, the square of the hypotenuse (R in this case) is equal to the sum of the squares of the other two sides (3 and 8 in this case). Therefore, R = √(3² + 8²) = √(9 + 64) = √73.
To find the value of α, we can use the trigonometric identity: cosα = 3/R, which implies α = cos⁻¹(3/R) = cos⁻¹(3/√73).
Now we have the values of R and α, so we can express 3sinωt + 8cosωt as Rsin(ωt + α), which becomes √73 sin(ωt + cos⁻¹(3/√73)).
In summary, the expression 3sinωt + 8cosωt can be written as √73 sin(ωt + cos⁻¹(3/√73)).
Learn more about expressions
brainly.com/question/31500517
#SPJ11
1) How many pennies are in $3.24?
$ 3.34
pennies
100 p= $1.00
Answer:
334 pennies
Explanation:
100+100+100=300
3.00$
+0.34
their is 324 pinnies in 3.24 and 334 pinnies in 3.34
What is the phase of the moon during a total solar eclipse?
Answer:
The moon should be in the New phase.
Explanation:
_______ is the energy available for a reaction to do work.Question 19 options: Heat Enthalpy Free energy Entropy
Brandy has built a computer model of a weather system. She has included information about bodies of water, the Sun, and the atmosphere. Brandy decides to decrease the amount of atmospheric water vapor in her model. How will this likely affect the precipitation in her model?
A.
There will be less precipitation.
B.
There will be more precipitation.
C.
It will rain constantly.
D.
The precipitation will not change.
Answer:
there will be less precipitation because there is less water vapour
Explanation:
A really long wire is given a positive charge. What is the direction of the electric field surrounding this wire? Pointing directly outward away from the wire. B) Pointing directly inward toward the wire. (C) Pointing parallel to the wire. D) Circling the wire.
The direction of the electric field surrounding a long wire carrying a positive charge is, Pointing directly outward away from the wire.
The correct answer is option A.
When a wire is given a positive charge, it creates an electric field around it. The electric field lines extend radially outward in all directions away from the wire. This means that if you were to place a positive test charge in the vicinity of the wire, it would experience a repulsive force and move away from the wire.
So, the correct answer is A)
Here you can learn more about electric field
https://brainly.com/question/11482745#
#SPJ11
During a lightning discharge, 30 c of charge move through a potential difference of 1. 0 x 108 v in 2. 0 x 10–2 s. the energy released by this lightning bolt is:
The energy released by this lightning bolt is 3.0 × 10^9 C × V.
Lightning is an electrical discharge caused by imbalances between storm clouds and the ground, or within the clouds themselves. Most lightning occurs within the clouds. "Sheet lightning" describes a distant bolt that lights up an entire cloud base. Other visible bolts may appear as bead, ribbon, or rocket lightning.
To calculate the energy released by the lightning bolt, we can use the formula:
Energy = Charge × Potential Difference
Given:
Charge (Q) = 30 C
Potential Difference (V) = 1.0 × 10^8 V
Plugging in the values, we get:
Energy = 30 C × 1.0 × 10^8 V
Simplifying the expression:
Energy = 30 × 1.0 × 10^8 C × V
Energy = 3.0 × 10^9 C × V
Therefore, the energy released by this lightning bolt is 3.0 × 10^9 C × V.
Learn more about energy: https://brainly.com/question/13881533
#SPJ11
A meter stick has a mass of 0.30 kg and balances at its center. When a small chain is suspended from one end, the balance point moves 13.0 cm toward the end with the chain. Determine the mass of the chain.
The mass of the chain is approximately 0.39 kg when the meter stick balances at its center and moves 13.0 cm toward the end with the chain.
To solve this problem, we can use the principle of torque balance. When the meter stick is in equilibrium, the sum of the torques acting on it must be zero. Torque is calculated by multiplying the force applied to an object by the distance from the point of rotation.
Let x be the distance from the center of the meter stick to the balance point when the chain is suspended. The torque exerted by the meter stick's mass on the balance point is equal to the torque exerted by the chain's mass.
Torque exerted by the meter stick: (0.30 kg) × (9.8 m/s²) × (0.13 m) = 0.3822 Nm
Torque exerted by the chain: (mass of the chain) × (9.8 m/s²) × (0.13 m)
Since the meter stick balances at its center, the torques must be equal:
0.3822 Nm = (mass of the chain) × (9.8 m/s²) × (0.13 m)
Simplifying the equation:
0.3822 = (mass of the chain) × 1.274
Dividing both sides by 1.274:
mass of the chain = 0.3822 / 1.274
mass of the chain ≈ 0.30 kg / 1.274
mass of the chain ≈ 0.39 kg
learn more about mass here:
https://brainly.com/question/29453570
#SPJ11
How would that life story be different if the protostar formed in a cloud without any angular momentum
If a protostar formed in a cloud without any angular momentum, its life story would differ significantly compared to a protostar with angular momentum.
The absence of angular momentum would affect the protostar's rotation, the formation of a protoplanetary disk, and the potential for planet and star formation.
Angular momentum plays a crucial role in the formation and evolution of protostars. When a cloud of gas and dust collapses under gravity, conservation of angular momentum causes the material to spin faster as it contracts. This rotation leads to the formation of a protoplanetary disk, a spinning disk of material surrounding the protostar.
In the absence of angular momentum, the protostar would not have a spinning motion or a protoplanetary disk. The collapse would likely proceed more spherically, without the formation of a flattened disk structure. As a result, the process of planet formation would be significantly hindered since protoplanetary disks are crucial for the accumulation of material and the formation of planetary systems.
Additionally, the absence of angular momentum may impact the formation of a stable, long-lived star. Angular momentum helps balance the inward pull of gravity during the collapse phase, allowing the protostar to reach a stable state known as hydrostatic equilibrium. Without angular momentum, the protostar may experience gravitational collapse and instability, potentially leading to a different evolutionary path or even preventing the formation of a star altogether.
Overall, the absence of angular momentum in the formation of a protostar would alter its rotational characteristics, hinder planet formation, and potentially impact the stability and longevity of the star itself.
Learn more about momentum here: brainly.com/question/30677308
#SPJ11
A distant planet with a mass of (7.2000x10^26) has a moon with a mass of (5.0000x10^23). The distance between the planet and the moon is (6.10x10^11). What is the gravitational force between the two objects?
A distant planet with a mass of (7.2000x10^26) has a moon with a mass of (5.0000x10^23). The distance between the planet and the moon is (6.10x10^11). What is the gravitational force between the two objects?
Answer:
Explanation:
This is a simple gravitational force problem using the equation:
\(F_g=\frac{Gm_1m_2}{r^2}\) where F is the gravitational force, G is the universal gravitational constant, the m's are the masses of the2 objects, and r is the distance between the centers of the masses. I am going to state G to 3 sig fig's so that is the number of sig fig's we will have in our answer. If we are solving for the gravitational force, we can fill in everything else where it goes. Keep in mind that I am NOT rounding until the very end, even when I show some simplification before the final answer.
Filling in:
\(F_g=\frac{(6.67*19^{-11})(7.2000*10^{26})(5.0000*10^{23})}{(6.10*10^{11})^2}\) I'm going to do the math on the top and then on the bottom and divide at the end.
\(F_g=\frac{2.4012*10^{40}}{3.721*10^{23}}\) and now when I divide I will express my answer to the correct number of sig dig's:
\(Fg=\) 6.45 × 10¹⁶ N
Since we know the velocity of the earth and the period of its orbit (one year), we can calculate the radius (astronomical unit) of the orbit. Find the radius of the earth's orbit in kilometers and miles ( 1 km=.62mi). v earth
= time distance
= period circumference of orbit
= P
2πr
where P=1 year =31,600,000 seconds and π=3.1416. =9 BLx6 mils R=… miles 4. Assuming its present right ascension, what would the declination of Arcturus have to be in order for these spectra to reflect maximum Doppler shift? (Hint: Find Arcturus on the SC-1 Chart.) 5. Does the apparent color of Arcturus change as a result of its radial velocity? Explain
The radius of the Earth's orbit is 149.6 million kilometers or 93.0 million miles calculated using its orbital speed.
speed is defined as the rate at which a body covers a distance in a given amount of time. Mathematically, speed (v) is calculated by dividing the distance traveled (d) by the time taken (t): v = d / t
The average orbital speed of the Earth is approximately 29.78 kilometers per second (km/s).
The period of the Earth's orbit is one year, which is equivalent to 365.25 days.
To find the radius of the Earth's orbit, we can use the formula:
Radius = speed × Period / (2 × π)
Let's calculate it:
Radius = 29.78 km/s × (365.25 days × 24 hours × 60 minutes × 60 seconds) / (2 × π)
Radius = 149.6 million kilometers
So, the radius of the Earth's orbit (Astronomical Unit) is 149.6 million kilometers.
To convert it to miles, we can use the conversion factor:
1 kilometer = 0.621371 miles
Radius = 93.0 million miles
Therefore, the radius of the Earth's orbit is 149.6 million kilometers or 93.0 million miles calculated using its orbital speed.
To know more about speed, click here:
https://brainly.com/question/32673092
#SPJ4
1)What is the kinetic energy of a 2100 kg car traveling at a speed of 30 m/s ( 65 mph)?
2)From what height would the car have to be dropped to have this same amount of kinetic energy just before impact?
The kinetic energy of the car is 945,000 joules.
The car would have to be dropped from a height of 94.3 meters (310 feet) to have the same amount of kinetic energy just before impact.
The formula for kinetic energy is
KE = (1/2)mv^2
where m is the mass of the object and v is its velocity.
Substituting the given values
KE = (1/2) x 2100 kg x (30 m/s)^2 = 945,000 joules.
To find the height from which the car would have to be dropped, we can use the formula PE = mgh, where PE is potential energy, m is mass, g is the acceleration due to gravity (9.8 m/s^2), and h is height.
Equating the potential energy to the kinetic energy found in we get mgh = 945,000 joules.
Solving for h, we get h = 945,000 joules / (2100 kg x 9.8 m/s^2) = 94.3 meters (rounded to one decimal place).
For more questions like Kinetic energy click the link below:
https://brainly.com/question/26472013
#SPJ11
A tow truck pulls a 1225 kg car and accelerates at a rate of 3 m/s^2. What
is the force of the tow truck?
F = ma
Answer:
\( \huge{\boxed{3675 \: N}} \)
Explanation:
The force acting on the tow truck can be found by using the formula
\( \bold{F = mass × acceleration} \)
From the question
mass = 1225 kg
acceleration= 3 m/s²
F = 1225 × 3 = 3675
We have the final answer as
3675 NA 30 kg girl and a 40 kg boy stand on roller skates, face one another, and
push off each other. If the boy accelerates backward with an acceleration
of 6 m/s2, what will be the acceleration of the girl?
Answer:the boy is heavier
Explanation:
So the answe is gonna be less than 6 m/s^2;)
how many bullet points should you aim for on each slide to be effective in communicating your point?
Maximum six bullet points you should aim for on each slide to be effective in communicating your point.
Why are bullet points important?
Bullet points are important as they help to keep the data simple looking, lucid and well-organized in your communication.
In order to keep the information concise and to keep the slides from looking cluttered make sure there are only six bullet point.
In general, to effectively communicate your point, you should follow the simple rule which states that' six by six guideline'.
According to this rule, each slide shall have six bullets and each bullet line shall consist of six words.
If you need to learn more about communication click here:
https://brainly.com/question/26152499
#SPJ4
Which nucleus completes the following equation?
Answer:
Option D. ⁸⁵₃₆Kr
Explanation:
⁸⁵₃₅Br —> ⁰₋₁e + ?
Let ⁿₘZ represent the unknown.
Thus, the equation becomes:
⁸⁵₃₅Br —> ⁰₋₁e + ⁿₘZ
Next, we shall determine n, m and Z as follow:
85 = 0 + n
85 = n
Thus,
n = 85
35 = –1 + m
Collect like terms
35 + 1 = m
36 = m
Thus,
m = 36
ⁿₘZ => ⁸⁵₃₆Z = > ⁸⁵₃₆Kr
Thus, the equation:
⁸⁵₃₅Br —> ⁰₋₁e + ⁿₘZ
Becomes:
⁸⁵₃₅Br —> ⁰₋₁e + ⁸⁵₃₆Kr
Explain how water waves are not purely transverse waves
Answer:
Water waves are an example of waves that involve a combination of both longitudinal and transverse motions. As a wave travels through the waver, the particles travel in clockwise circles. The radius of the circles decreases as the depth into the water increases.
Explanation:
Which type of energy is stored energy?
Answer:
Potential energy is stored energy and the energy of position.
Explanation:
There are several forms of potential energy. Kinetic energy is motion of waves, electrons, atoms, molecules, substances, and objects. Chemical Energy is energy stored in the bonds of atoms and molecules.
( Hope this helps )
R. Una bailarina gira con una frecuencia de 1hz y momento de inercia i = 28.14kg . M2. Calcule su velocidad de giro cuando disminuye su momento de inercia a la mitad.
Answer:
w = 4π rad / s
Explanation:
When the dancer is turning, the body is isolated so the angular momentum is conserved.
initial
L₀ = I₀ w₀
final
L_f = I w
in this case it indicates that the initial moment is Io = 28.14 kg m² and the final moment is half
I = I₀ / 2
frequency and angular velocity are related
w = 2π f
w = 2π 1
wo = 2π rad / s
how angular momentum is conserved
L₀ = L_f
I₀ w₀ = I w
w = \(\frac{I_o}{I}\) w₀
let's calculate
w = 2 2π
w = 4π rad / s
What's the difference between the speed and velocity of an object?
question 1 options:
speed refers to the distance an object travels over time, whereas velocity represents the speed only at a given moment.
speed refers to the distance the object travels only, whereas velocity accounts for the acceleration of the object.
speed refers to the distance an object travels per unit of time only, whereas velocity also indicates the direction of travel.
speed accounts for the distance traveled and the direction, whereas velocity considers only the distance traveled per unit of time.
Answer:
C
Explanation:
velocity is a vector unit, meaning it isn't scalar so also gives direction, same as distance vs. displacement.
which of the following device is not ohmic in nature
(a)thermister
(b)filament lamp
(c)fixed resistor
(d)both a and b
Answer:
B
Explanation:
filament lamp ofcourse
what force would a proton experience in the same field?
The supplied assertion states that a proton experience would be forced in the same field at -2.24 i^ pN
How do protons and electrons differ?The main distinction is that whereas as proton is a charged particles particle found inside the atom's nucleus, a particle is a highly reactive particle that orbiting the nucleus. Two up neutrons and one drop quark are found in protons. One up atom and five down quarks make up neutrons. The "strong nuclear force," one of the four basic forces, holds the nucleus together (gravity and electromagnetism are two others).
Charge q = -1*10⁻⁶C
Electrostatic force F = 14 i^ N
The electric field is
E = F/q
= (14 i^ N) / (-1*10⁻⁶ C)
= -14*10⁶ i^ N/C
The force on a proton is:
F = qpE
= (1.6*10⁻¹⁹ C)(-14*10⁶ i^ N/C)
= -22.4*10⁻¹³ i^ N
= -2.24*10⁻¹² i^ N
= -2.24 i^ pN
To know more about Proton visit:
https://brainly.com/question/14514636
#SPJ4
The complete question is-
1.0 µC charge experiences a 14 i N electric force in a certain electric field. What force would a proton experience in the same field?
Batteries are an example of an ___________________ in an electric circuit .
Answer:
Batteries are an example of an electrochemical device in an electric circuit.
The mass of an unidentified rock is 15.5 grams. Students determine the volume of the rock by placing the rock in a cylinder with water. The students calculate the density of the rock. They determine the identity of the rock based on the density ranges in the table.
The students most likely have which type of rock?
Coal
Dolomite
Peridotite
Sandstone
Answer:
this density is in the range of Peridotite type rocks
Explanation:
In this graduated cylinder exercise we can directly read the volume of the rock
V = (35 - 30) cm³
V = 5 cm³
They also indicate the mass of the rock
m = 15.5 gr.
Density is defined as the ratio of mass to volume
ρ = 15.5 / 5
ρ= 3.1 gr /cm³
When checking the attached table this density is in the range of Peridotite type rocks
The type of rock the students mostly like have is Peridotite.
We'll begin by calculating the volume of the rock. This can be obtained as follow:
Volume of water = 30 mL
Volume of water + rock = 35 mL
Volume of rock =?Volume of rock = (Volume of water + rock) – (Volume of water)
Volume of rock = 35 – 30
Volume of rock = 5 mLFinally, we shall determine the type of rock the students have by calculating the density of the rock. This can be obtained as follow:Volume of rock = 5 mL = 5 cm³
Mass of rock = 15.5 g
Density of rock =?Density = mass / volume
Density of rock = 15.5 / 5
Density of rock = 3.1 g/cm³Comparing the density of the rock (i.e 3.1 g/cm³) with those given in table above, we can conclude that the rock is peridotiteLearn more: https://brainly.com/question/2040396
A coffee machine transfers 12 kj of energy in 15 seconds. It uses 230 v mains supply. Use this information to work out the current through the coffee machine
The current through the coffee machine is 3.48 A.
To calculate the current flowing through the coffee machine, we use the formula below.
Formula:
E = VIt............. Equation 1Where:
E = Energy transfered by the machineV = Voltage of the main supplyI = current through the coffee,t = time.
Make I the subject of the equation.
I = E/Vt.............. Equation 2From the question,
Given:
E = 12 kJ = 12000 JV = 230 Vt = 15 seconds.Substitute these values into equation 2
I = (12000)/(230×15)I = 3.48 A.Hence, The current through the coffee machine is 3.48 A.
Learn more about current here: https://brainly.com/question/14883923
Answer:3.48
Explanation:
Instructions
Click the links to open the resources below. These resources will help you complete the assignment. Once you have created your file(s) and are ready to upload your assignment, click the Add Files button below and select each file from your desktop or network folder. Upload each file separately.
Your work will not be submitted to your teacher until you click Submit.
Documents
Lab Report Guide
Lab Report Rubric
File Upload
To complete the assignment, click the links to open the resources provided. These resources will provide guidance on how to create a lab report and how it will be graded.
Resources are the materials, both physical and intellectual, that are used to produce goods and services. Physical resources include land, natural resources, capital goods, human resources and technological resources. Intellectual resources refer to knowledge or skills that are used in the production process, such as patents, copyrights, inventions, brands and trade secrets.
Once you have created the lab report file(s) and are ready to upload them, click the Add Files button and select each file from your desktop or network folder. Upload each file separately.
Once all the files have been uploaded, click Submit to submit your work to your teacher.
To learn more about resources
https://brainly.com/question/79953
#SPJ1
A 75-kg man is riding in a 30-kg cart at 2.0 m/s. He jumps off in such a way as to land on the ground with no horizontal velocity. The resulting change in speed of the cart is:
Answer:
Explanation:
We shall apply law of conservation of momentum .
M and m be mass of man and boat . V and v be velocity of man and boat .
MV = mv
75 V = 30 v
2 .0 m/s is relative velocity of man wrt boat .
Given v + V = 2
V = 2 - v
75 ( 2 - v ) = 30 v
150 - 75 v = 30 v
150 = 105 v
v = 1.43 m /s
A negatively charged polystyrene sphere is held at rest between two parallel plates separated by 5.0mm when the potential difference between them is 170V. It has 6 excess electrons on it and total charge on the sphere is 9.5 x 10^-19. Suddenly it looses one electron. Calculate its initial acceleration towards positive plate.
To calculate the initial acceleration of the negatively charged polystyrene sphere towards the positive plate, we can use the equation for the electric force on a charged object and Newton's second law of motion.
The electric force between two charged objects is given by Coulomb's law:
F = k * (q1 * q2) / r^2
where:
F is the electric force,
k is the electrostatic constant (approximately 9 x 10^9 N m^2/C^2),
q1 and q2 are the charges of the two objects,
r is the distance between the charges.
The charge on the sphere is given as -9.5 x 10^-19 C. After losing one electron, the charge becomes -9.5 x 10^-19 C + (-1.6 x 10^-19 C) = -11.1 x 10^-19 C.
The force acting on the sphere due to the electric field between the parallel plates is given by:
F = q * E
where:
F is the force,
q is the charge,
E is the electric field strength.
The electric field strength between the parallel plates is given by:
E = V / d
where:
V is the potential difference between the plates,
d is the distance between the plates.
Given:
V = 170 V (potential difference between the plates)
d = 5.0 mm = 0.005 m (distance between the plates)
q = -11.1 x 10^-19 C (charge on the sphere)
Substituting the values into the equation, we have:
F = (-11.1 x 10^-19 C) * (170 V / 0.005 m)
Simplifying:
F = -11.1 x 10^-19 C * 34,000 N/C
F ≈ -3.77 x 10^-14 N
The force acting on the sphere is approximately -3.77 x 10^-14 N. Since the force is negative, it indicates that the direction of the force is towards the negative plate (opposite to the direction of acceleration).
Now, we can calculate the acceleration of the sphere using Newton's second law:
F = m * a
where:
F is the force,
m is the mass of the sphere (which we assume to be constant),
a is the acceleration.
Assuming the mass of the sphere is m, we can rearrange the equation to solve for acceleration:
a = F / m
Since the mass of the sphere is not given, we cannot determine the numerical value of acceleration without additional information. However, the direction of acceleration is towards the negative plate.
Therefore, the initial acceleration of the negatively charged polystyrene sphere towards the positive plate cannot be determined without knowing the mass of the sphere.
When 18(O)is struck by a proton, 18(F) and another particle
are produced. The reaction has a Q value of -2.453 MeV, and the atomic mass of 18(O) is 17.999 160 u. What is the atomic mass of 18(F)
Answer:
Explanation:
As per the given information, 18(O) is struck by a proton, and 18(F) and another particle are produced. The reaction has a Q value of -2.453 MeV, and the atomic mass of 18(O) is 17.999 160 u.
We have to find the atomic mass of 18(F). The Q value of a nuclear reaction can be given as Q = (Mi - Mf - Mp) × c²WhereQ = Q
value of the nuclear reaction = initial massMf = final massMp = mass of the projectile = speed of light
The Q value of the given nuclear reaction is -2.453 MeV. Since we know the initial mass (Mi) and the mass of the projectile (Mp), we can calculate the final mass (Mf) as follows: Mf = Mi - Mp - (Q / c²)Now, let's calculate the final mass of 18(F).
Initial mass (Mi) = mass of 18(O) = 17.999 160 UMass of the projectile (Mp) = mass of a proton = 1.007 825 uQ value (Q) = -2.453 MeVSpeed of light (c) = 2.998 × 10⁸ m/sMf = 17.999 160 u - 1.007 825 u - (-2.453 MeV / (2.998 × 10⁸ m/s)²)Mf = 18.000 674 therefore, the atomic mass of 18(F) is 18.000 674 u.