Suppose you are holding a flat mirror and standing at the center of a giant clock face built into the floor. someone standing at 12 o'clock shines a beam of light toward you, and you want to use the mirror to reflect the beam toward an observer standing at 5 o'clock. what should the angle of incidence be to achieve this? what should the angle of reflection be?
Answers
The original beam of light comes from 12 o'clock, and it is reflected to 5 o'clock.
Since there are 12 hours on the clock, each hour covers an angle of
[tex]360^{\circ}/12=30^{\circ}[/tex].
This means that between 12 o'clock and 5 o'clock there is an angle of
[tex]30^{\circ}\cdot 5 = 150 ^{\circ}[/tex].
This corresponds to the total angle between the incident beam and the reflected beam. But for the law of reflection, we have that the incident angle should be equal to the angle of reflection, so this is only possible if both angles are half of [tex]150^{\circ}[/tex], so we have:
- angle of incidence: [tex]150^{\circ}/2 = 75^{\circ}[/tex]
- angle of reflection: [tex]150^{\circ}/2 = 75^{\circ}[/tex]
Related Questions
When the current is the same through all of the resistors and the batteries of a circuit, you have resistors in __.
A. parallel
B. series
C. both parallel and series
D. series and parallel circuits
Answers
When the current is the same through all the resistors and the batteries of a circuit, you have resistors in series. Option B is correct.
In the series circuit, the amount of current flowing through any component in a series circuit is the same and the sum of the individual resistances equals the overall resistance of any series circuit.
The voltage in a series circuit, the supply voltage, is equal to the total of the individual voltage drops.
Components linked in series share a single “electrical route,” and each component receives the same current, which is equal to the network's current.
When the current is the same through all the resistors and the batteries of a circuit, you have resistors in series.
Hence,option B is correct.
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Derek reads a rate of 25 words per min. How long would it take him to read a 225 work article if he read at a constant rate without stopping
Answers
If the strength of the magnetic field at A is 10 units, the strength of the magnetic field at B is
A)640 units
B)6.4 units
C)2.5 units
D)1.25 units
Answers
So I(A) = 10, 10 = 1c/(2m)2 = c/4
10 = c/4, c = 40
Now distance of B is 4m, so strength of B:
[tex]I(B) = \frac{1c}{ {d}^{2} } = \frac{40}{ {4}^{2} } \\ I(B) = \frac{40}{16} = \frac{5}{2} = 2.5 \: units[/tex]
Answer: C) 2.5 units
An electric generator transforms mechanical energy into electrical energy. This process could be done by which of these?
A) Using wind to spin a magnet around.
B) Connecting a battery to a coil of wire.
C) Turning a wheel that contains electrons.
D) Spinning a coil of wire near a large magnet.
Answers
Answer:
D) Spinning a coil of wire near a large magnet.
Explanation:
From Faraday's law of induction, when a conducting coil of wire is placed in changing magnetic flux, an emf is induced which produces current in the coil.
Induced emf is given by:
[tex]e = -\frac{d\phi}{dt}[/tex]
A generator is based on the same principle.
The mechanical energy of rotating coil is converted to electrical energy when current is induced. Thus, the correct option is D) Spinning a coil of wire near a large magnet.
An electric generator converts mechanical energy into electrical energy via electromagnetic induction, which is achieved by spinning a coil of a wire near a large magnet. This process is described accurately in option D of the multiple choice question.
Explanation:An electric generator operates on the principle of electromagnetic induction, which was discovered by Michael Faraday. It involves the conversion of mechanical energy into electrical energy by spinning a magnet within a coil or spinning a coil within a magnetic field. Therefore, the correct answer to which process transforms mechanical energy into electrical energy in an electric generator is D) Spinning a coil of wire near a large magnet.
This process generates an electromotive force (emf) that results in the flow of electric current. The other options mentioned, such as using wind to spin a magnet around (A), connecting a battery to a coil of wire (B), or turning a wheel that contains electrons (C), do not accurately describe the fundamental operation of an electric generator.
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You have been mining for gold and you have found a nugget and are about to be rich. The density of the gold is 19.3 grams/cubic centimeter or g/cc.
Your sample has a mass of 972 grams and is nearly a perfect cube, each side measuring 3 cm.
Find the the density of your sample (HINT: you must find the volume of the cube first).
After you've done this compare the given density of gold to your calculated value. Is your sample pure gold? EXPLAIN.
Answers
density= mass/volume
972/27 = 36g/cm3
the Desity of gold is it's property, and it's given as 19.3
but what we got is 36
so there is a change in density
which means that gold is not pure here.
What is the average power output of a weight lifter who can lift 260 kg from the floor to a height of 1.60 m in 1.7 seconds?
Answers
[tex]P= \frac{W}{t} [/tex]
For the law of conservation of energy, the amount of work done by the lifter is equal to the difference in gravitational potential energy of the block of mass [tex]m=260 kg[/tex] between its final location (height h=1.60 m) and its initial location (the floor, h=0). This potential energy difference is
[tex]\Delta U = mgh_f-mgh_0 =(260 kg)(9.81 m/s^2)(1.60 m)-0=4081 J[/tex]
And therefore, the average power output of the lifter, using [tex]t=1.7 s[/tex], is
[tex]P =\frac{W}{t}= \frac{4081 J}{1.7 s}=2400 W [/tex]
Jamal does not produce enough insulin to regulate his blood sugar. What part of the endocrine system is most likely being affected??
A. Adrenal gland
B. Pancreas
C. Pituitary gland
D. Testes
Answers
What is ozone? How and where is it formed in the atmosphere?
Answers
please help me :)
A Ferris wheel at a carnival has a diameter of 62 feet. Suppose it turns at a rate of 70 revolutions per hour.
(a) Find the angular speed of the wheel in radians per hour.
(b) Find the linear speed of a passenger in feet per minute.
Do not round any intermediate computations, and round your answer to the nearest whole number.,
Answers
(a) Angular Speed is 140π radians per hour.
(b) The linear speed of a passenger on the Ferris wheel is approximately 3.249 feet per minute.
To find the angular speed of the Ferris wheel in radians per hour, you can use the following formula:
Angular Speed (ω) = (2π * Number of Revolutions) / Time
(a) Angular Speed in Radians per Hour:
Number of Revolutions = 70 revolutions
Time = 1 hour
ω = (2π * 70) / 1
ω = 140π radians per hour
Now, to find the linear speed of a passenger in feet per minute, you need to consider the circumference of the Ferris wheel.
(b) Circumference of the Ferris Wheel:
The diameter of the Ferris wheel is given as 62 feet, so the radius (r) is half of that, which is 31 feet. The circumference (C) of the wheel is given by:
C = 2πr
C = 2π * 31 feet
C ≈ 194.94 feet
Now, to find the linear speed (v) in feet per minute, you can use the formula:
Linear Speed (v) = (Circumference / Time)
Time in this case is 1 hour, which is equivalent to 60 minutes:
v = 194.94 feet / 60 minutes
v ≈ 3.249 feet per minute
Hence, the linear speed of a passenger on the Ferris wheel is approximately 3.249 feet per minute.
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Peter and Paul both had a great influence on the early church. True False
Answers
Hope it helped!
Answer:
The answer would be TRUE
Peter and Paul did have a great influence on the early church.
Question 1 Unsaved
Most of the mass of the solar system is located in which of the following?
Question 1 options:
Earth
comets
sun
Jupiter
Answers
Answer:
The Sun
Explanation:
Did the test, k12
Work output of a large machine in a factory is 89,000 joules, and it’s input is 102,000 joules. Work output of a similar machine is 92,000 joules, and it’s work input is 104,000 joules. Which machine has a greater efficiency
Answers
=87.25%
(92000/104000)×100
=88.46%
efficiency is (output/input)×100
if u get confused which way input and output should go, remember the smaller value is always output and it's above in the fraction, then only it's possible to get a efficiency lower than 100.
Answer:
The machine with work input of 104,000Joules and work output of 92,000 has the greater efficiency
Explanation:
Efficiency of a machine is the ratio of work done by a machine(work output) to work put in the machine (work input).
Mathematically,
Efficiency = Work output/Work Input ×100
For the machine with work output of 89,000Joules and work input of 102,000Joules, its efficiency will be;
Efficiency = 89,000/102,000×100
Efficiency = 87.5%
Similarly for the other machine with work output of 92,000Joules and work input of 104,000Joules, its efficiency will be;
Efficiency = 92,000/104,000×100
Efficiency = 88.5%
Comparing the efficiency of both machines, the machine with efficiency of 88.5% has greater efficiency.
Elements can be broken down through ____ processes.
A. Chemical processes, but not nuclear
B. only biological
C. both chemical and nuclear
D. Nuclear processes, but not chemical
Answers
Answer: I believe the answer is: Nuclear processes, but not chemical
Explanation:
What is absolute zero? A. Zero on the Celsius scale B. The point at which all motion stops C. Zero on the Fahrenheit scale D. 273 on the Kelvin scale
Answers
Absolute zero is the theoretical lowest temperature at which all molecular motion stops. It's equivalent to -273.15 degrees Celsius or 0 Kelvin.
Explanation:Absolute zero refers to the lowest possible temperature that can be theoretically achieved. It represents the point at which all molecular motion is presumed to stop, which is choice B in your options. However, this doesn't mean that all forms of energy disappear at this temperature - quantum mechanics tells us that minimal vibrations persist even at this extreme. In practical terms, absolute zero is equivalent to -273.15 degrees Celsius, or 0 on the Kelvin scale (not 273 Kelvin as option D suggests). Neither 0 degrees on the Celsius scale (option A), nor 0 degrees on the Fahrenheit scale (option C), is equivalent to absolute zero.
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James rode his bike 0.65 hours and traveled 8.45 km. What was his speed?
Answers
Speed = (distance covered) / (time to cover the distance)
= ( 8.45 km) / (0.65 hr)
= (8.45 / 0.65) km/hr
= 13 km/hr
Final answer:
James's average speed was calculated by dividing the distance he traveled, 8.45 km, by the time it took, 0.65 hours, resulting in an average speed of 13 km/h.
Explanation:
To find James's speed, you need to divide the total distance he traveled by the total time it took him. In this case, the distance traveled is 8.45 km and the time is 0.65 hours. Use the formula speed = distance/time to calculate the speed.
The calculation would be:
Convert time to the same unit as speed (hours to minutes or kilometers per hour). Here, the time is already in hours.Divide the distance by the time: 8.45 km ÷ 0.65 hours = 13 km/h.So, James's average speed while riding his bike was 13 kilometers per hour (km/h).
The typical speed is the all out distance went by the item in a specific time stretch. The typical speed is a scalar amount. It is addressed by the greatness and doesn't have heading.
Which are true statements?
Check all that apply.
A. 1 mol is 6.02 × 1023 of something.
B. 6.02 × 1023 g is the weight of 1 mol.
C. The mass of 1 mol is the same as the atomic mass in grams.
D. A mole is the atomic mass.
Answers
C. The mass of 1 mol is the same as the atomic mass in grams.
True or false, The golf club is swung in a northernly direction, and that is the direction the ball travels
Answers
Final answer:
The statement is false since merely swinging the golf club in a northern direction does not ensure that the ball will travel in that direction due to external influences like wind and gravity, much like an airplane can be blown off course.
Explanation:
The statement "The golf club is swung in a northernly direction, and that is the direction the ball travels" is false. In physics, particularly when discussing vectors and motions, the direction that an object is initially moved by a force (like a golf club hitting a ball) does not necessarily dictate that the object will continue to move in that initial direction. Various other forces and factors can influence the trajectory. For example, merely swinging the club in a northern direction does not account for factors such as wind, slope of the ground, spin of the ball, and gravity, all of which can alter the path of the golf ball.
Consider the analogy provided using an airplane's motion. An airplane heading north can be moved off that northward path by the wind, causing it to drift westward. Similarly, swinging the golf club in one direction does not guarantee the ball will follow that path precisely. Additionally, according to physics, when a magnet breaks, all pieces will indeed still have north and south poles, indicating that the physical direction is not the only factor determining the outcome—in both magnetism and ball trajectory.
The three classes of rocks are sedimentary, metamorphic, and igneous. How are rocks classified into one of these three groups? A. According to the type of minerals present in the rock B. According to how many times they have been through the rock cycle C. According to the method of their formation D. According to the amount of weathering they have endured Rese
Answers
Here is your answer:
The proper answer to this question is option C "According to the method of their formation".
Here is how:
Scientist's figure out what type it is due to the method they use to figure out what type of rock it is.
Your answer is C.
If you need anymore help feel free to ask me!
Hope this helps!
the answer is C. according to the method of their information
A 10.0 cm object is 5.0 cm from a concave mirror that has a focal length of 12 cm. What is the distance between the image and the mirror?
Answers
[tex] \frac{1}{f}= \frac{1}{d_o}+ \frac{1}{d_i} [/tex]
where f is the focal length of the mirror, [tex]d_o[/tex] the distance of the object from the mirror, and [tex]d_i[/tex] the distance of the image from the mirror.
For a concave mirror, for the sign convention f is considered to be positive. So we can solve the equation for [tex]d_i[/tex] by using the numbers given in the text of the problem:
[tex] \frac{1}{12 cm}= \frac{1}{5 cm}+ \frac{1}{d_i} [/tex]
[tex] \frac{1}{d_i}= -\frac{7}{60 cm} [/tex]
[tex]d_i = -8.6 cm[/tex]
Where the negative sign means that the image is virtual, so it is located behind the mirror, at 8.6 cm from the center of the mirror.
In order to effectively radiate a radio signal, an antenna must be at least one-half the wavelength of transmission in length, i.e., minimum antenna height = 1/2(λ). WITY operates at a frequency of 980.0 kHz. What is the minimum height (m) of the antenna that WITY (nostalgia radio) must have?,
Answers
The wavelength of the is the distance of corresponding points between the two consecutive waves.
The minimum height (m) of the antenna that WITY (nostalgia radio) must have is 153.06 meters.
What is the wavelength?The wavelength of the is the distance of corresponding points between the two consecutive waves.
It can be given as,
[tex]\lambda=\dfrac{c}{f}[/tex]
Here [tex]c[/tex] is the speed of light and [tex]f[/tex] is the frequency of the wave.
Given information-
The minimum height of the antenna is 1/2(λ).
The frequency on which the radio operates is 980.0 kHz.
As the speed of light is [tex]3\times 10^8\rm m/s[/tex]. Thus, find the value of wavelength using the above formula first,
[tex]\lambda=\dfrac{3\times 10^8\rm}{980\times10^3}\\\lambda=306.122\rm m[/tex]
Suppose the minimum height of the antenna is x meters. As the minimum height of the antenna is 1/2(λ). Thus,
[tex]x=\dfrac{1}{2} \times306.122\\x=153.06[/tex]
Hence, the minimum height (m) of the antenna that WITY (nostalgia radio) must have is 153.06 meters.
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A 33.0 g iron rod, initially at 22.7 ∘c, is submerged into an unknown mass of water at 63.3 ∘c, in an insulated container. the final temperature of the mixture upon reaching thermal equilibrium is 58.5 ∘c. part a what is the mass of the water? express your answer to two significant figures and include the appropriate units.
Answers
We can consider this as an isolated system, so the heat released by the water is equal to the heat absorbed by the iron.
The hear released by the water is:
[tex]Q_w =m_w C_{sw} \Delta T_w[/tex]
where [tex]m_w[/tex] is the water mass, [tex]C_{sw}=4.186 J/(g^{\circ}C)[/tex] is the specific heat of the water, and [tex]\Delta T_w = 63.6^{\circ}-58.5^{\circ}=5.1^{\circ}C[/tex] is the variation of temperature of the water.
Similarly, the heat absorbed by the iron is:
[tex]Q_i = m_i C_{si} \Delta T_i[/tex]
where [tex]m_i = 33.0 g[/tex] is the iron mass, [tex]C_{si}=0.444 J/(g^{\circ}C)[/tex] is the iron specific heat, and [tex]\Delta T_i = 58.5^{\circ}-22.7^{\circ}=35.8^{\circ}C[/tex] is the variation of temperature of the iron.
Writing [tex]Q_w=Q_i[/tex] and replacing the numbers, we can solve to find mw, the mass of the water:
[tex]m_w= \frac{m_i C_{si} \Delta T_i}{C_{sw} \Delta T_w} =24.6 g[/tex]
Is it accurate to describe the physical universe as composed of only matter and energy?
Plz explain , many thanks!
Answers
The answer is 4 but idk how to get it so can somebody please explain how to get it
Answers
when it gets to the top of the ramp ?
(weight) x (height) = (15 N) x (0.2 m) = 3 Joules .
If there were no friction, you would only need to do 3 Joules of work
to lift the block from the bottom to the top.
But the question says you actually have to do 4 Joules of work
to get the job done.
Friction stole one of your Joules along the way.
Choice-4 is not the correct one.
Choice-1 is the correct one.
===========================
Notice that the mass of the block is NOT 15 kg , and you
don't have to worry about gravity to answer this question.
The formula for potential energy is (m)·(g)·(h) .
But (m·g) is just the WEIGHT, and the formula
is actually (weight)·(height).
The question GIVES us the weight of the block . . . 15 N .
So the potential energy at the top is just (15N)·(0.2m) = 3 Joules.
In which labeled portion of the curve would you use the heat of vaporization to calculate the heat absorbed? (image attached inside!)
1, 2, 3, 4, or 5
**not sure :( Thank you!!
Answers
An object has a kinetic energy of 275 j and a momentum of magnitude 25.0 kg · m/s. find the (a) speed and (b) mass of the object.
Answers
Mass = (momentum^2/ Kinetic energy) / 2
Mass = (25^2 / 275) / 2
Mass = 1.136 kg.
momentum = mass x velocity
velocity = mass / momentum
velocity = 1.136 / 25
velocity = 0.04544 m/s
Answer: The correct answers are 482.4 m/s and 21.96 kg.
Explanation:
The expression for the kinetic energy in terms of momentum of an object is as follows;
[tex]KE=\frac{p^{2} }{2m}[/tex]
Here, KE is the kinetic energy, p is the momentum and m is the mass of the object.
It is given in the problem that an object has a kinetic energy of 275 j and a momentum of magnitude 25.0 kg · m/s.
Calculate the mass of the object.
[tex]KE=\frac{p^{2} }{2m}[/tex]
Put p=25.0 kg · m/s and KE= 275 J.
[tex]m=\frac{25^{2} }{2(275)}[/tex]
[tex]m=1.14 kg[/tex]
Calculate the speed of the object.
[tex]KE=\frac{1}{2} mv^{2}[/tex]
Put m= 1.14 kg and KE= 275 J.
[tex]v=\sqrt{\frac{2(275)}{1.14} }[/tex]
v=21.96 m/s
Therefore, the speed of the object is 21.96 m/s and the mass of the object is 1.14 kg.
This is an area of the Solar System located between the orbits of the Mars and Jupiter. It is occupied by numerous irregularly shaped rocky bodies.
Answers
A horizontal pull A pulls two wagons over a horizontal frictionless floor, the first wagon is 500N, the second is 2000 N. The tension in the light horizontal rope connecting the wagons is.
help explain your answer,
Answers
What is necessary for a substance to be a conductor of electricity?
Answers
A motorboat, whose speed in still water is 15 km/hour, traveled with the current of a river for 35 km, and against the current for 25 km. the boat took the same time traveling with the current as it did traveling against the current. what is the speed of the current in the river?
Answers
When the boat travels with the current, its total speed is (v+c), and it travels for a distance of 35 km in a time t. When the boat travels against the current, its total speed is (v-c), and it travels for a distance of 25 km in the same time t. We can write the basic relationship of the uniform linear motion [tex]S=vt[/tex] for both situations:
[tex]35 km = (v+c)t[/tex]
[tex]25 km=(v-c)t[/tex]
If we divide the first equation by the second one, we find
[tex] \frac{35}{25}= \frac{v+c}{v-c} [/tex]
and by rearranging this, we can find the value of c, the speed of the current:
[tex]c= \frac{1}{6}v= \frac{1}{6}(15 km/h)=2.5 km/h [/tex]
If red and yellow paint are mixed together, which color of light will be reflected?
A. Orange
B. Red
C. White
D. Black
Answers
Explanation:
When two or more colors mixed together, the color of light that is reflected back represents the equivalent color for the different colors you mixed. Let's take white color as an example. If you mixed up all the color of the light spectrum, you will get the white color (which is reflected). Likewise, when red and yellow paints are mixed together, it is the orange color that is reflected. Hence the correct option is (A) Orange.